are less than 7, so all outcomes are favorable:\u003Cbr />\n\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{6 \\text{ favorable outcomes}}{6 \\text{ total outcomes}} = 1 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nc) The numbers 1 and 4 appear, each on one face of the die:\u003Cbr />\n\u003Cbr />\n\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{2 \\text{ favorable outcomes 1or4}}{6 \\text{ total outcomes}} = \\frac{1}{3} \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nAnswer for a): frac16 \u003Cbr />\nAnswer for b): 1 \u003Cbr />\nAnswer for c): frac13",1299,260,"determine-the-probability-that-when-throwing-a-die-it-will-land-a-number-5-b-a-number-less-than-7-c-number-1-or-4",{"id":58,"category":36,"text_question":59,"photo_question":38,"text_answer":60,"step_text_answer":8,"step_photo_answer":8,"views":61,"likes":62,"slug":63},537907,"Ivan learned 15 out of 20 questions. What is the probability that the student got a question he did not learn?","- Ivan je nauΔio 15 pitanja od 20, tako da je broj pitanja koja nije nauΔio \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 20 - 15 = 5 \u003C/math-field>\u003C/math-field>.\u003Cbr />\n- Ukupan broj pitanja je 20.\u003Cbr />\n- Vjerojatnost da je Ivan dobio pitanje koje nije nauΔio iznosi \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{5}{20} \u003C/math-field>\u003C/math-field>.\u003Cbr />\n- Jednostavnim deljenjem dobijamo vjerojatnost: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{5}{20} = \\frac{1}{4} \u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\nOdgovor je: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{1}{4} \u003C/math-field>\u003C/math-field>.",518,104,"ivan-learned-15-out-of-20-questions-what-is-the-probability-that-the-student-got-a-question-he-did-not-learn",{"id":65,"category":36,"text_question":66,"photo_question":38,"text_answer":67,"step_text_answer":8,"step_photo_answer":8,"views":68,"likes":69,"slug":70},537906,"561-t+154=137","1. Start with the equation:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>561-t+154=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Distribute the negative sign:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>561-t-154=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Simplify the left side by combining like terms:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>407-t=137\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Subtract 407 from both sides:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>-t=137-407\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplify the right side:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>-t=-270\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Multiply both sides by -1:\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>t=270\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nAnswer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>t = 270\u003C/math-field>\u003C/math-field>",1257,251,"561-t-154-137",{"id":72,"category":36,"text_question":73,"photo_question":38,"text_answer":74,"step_text_answer":8,"step_photo_answer":8,"views":75,"likes":76,"slug":77},537905,"431+Bβ29=678","First, simplify the equation:\u003Cbr />\n\u003Cbr />\n1. Start with the equation: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>431 + Bβ29 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n2. Distribute and simplify: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>431 + B - 29 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n3. Combine like terms: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B + 402 = 678\u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Isolate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B\u003C/math-field>\u003C/math-field> by subtracting 402 from both sides: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 678 - 402\u003C/math-field>\u003C/math-field>\u003Cbr />\n5. Calculate the right side: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 276\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nFinal answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>B = 276\u003C/math-field>\u003C/math-field>",1140,228,"431-b-29-678",{"id":79,"category":36,"text_question":80,"photo_question":38,"text_answer":81,"step_text_answer":8,"step_photo_answer":8,"views":82,"likes":83,"slug":84},537904,"Vicente counted 2,367 seashells at the beach. Then he realized he made a mistake and subtracted 400 seashells. How many seashells did he actually count?","1. Start with the original count: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>2367\u003C/math-field>\u003C/math-field>.\u003Cbr />\n2. Subtract the adjustment of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>400\u003C/math-field>\u003C/math-field>: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>2367 - 400 = 1967\u003C/math-field>\u003C/math-field>.\u003Cbr />\n3. The actual number of seashells counted: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1967\u003C/math-field>\u003C/math-field>.",447,89,"vicente-counted-2-367-seashells-at-the-beach-then-he-realized-he-made-a-mistake-and-subtracted-400-seashells-how-many-seashells-did-he-actually-count",{"id":86,"category":36,"text_question":87,"photo_question":38,"text_answer":88,"step_text_answer":8,"step_photo_answer":8,"views":89,"likes":90,"slug":91},537903,"Find the critical value Za/2 needed to construct a confidence interval with the given level \n\nLevel 99.7%","1. Identify that the level of confidence is 99.7%.\u003Cbr />\n2. Calculate the area in each tail: \u003Cbr />\n - The confidence level of 99.7% means there's 0.3% in the tails combined.\u003Cbr />\n - The area in one tail is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{0.3\\%}{2} = 0.15\\% \u003C/math-field>\u003C/math-field>.\u003Cbr />\n3. Determine the z-score for the 99.85th percentile since0.15.\u003Cbr />\n4. Look up this value in the standard normal distribution table or using a calculator, the critical z-score is typically approximately 3.00 forastandardnormaldistribution.\u003Cbr />\n5. Conclude that \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> z_{\\frac{\\alpha}{2}} = 3.00 \u003C/math-field>\u003C/math-field> for a 99.7% confidence interval.",805,161,"find-the-critical-value-za-2-needed-to-construct-a-confidence-interval-with-the-given-level-level-99-7",{"id":93,"category":36,"text_question":94,"photo_question":38,"text_answer":95,"step_text_answer":8,"step_photo_answer":8,"views":96,"likes":97,"slug":98},537902,"i need 3 addition or subtraction problems with 2 or 3 digit number that equal 5","1. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>12 - 7\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>12 - 7 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>102 - 97\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>102 - 97 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Solve \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>55 - 50\u003C/math-field>\u003C/math-field>:\u003Cbr />\n\u003Cbr />\n - Calculate: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>55 - 50 = 5\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n - Answer: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>5\u003C/math-field>\u003C/math-field>",783,157,"i-need-3-addition-or-subtraction-problems-with-2-or-3-digit-number-that-equal-5",{"id":100,"category":36,"text_question":101,"photo_question":38,"text_answer":102,"step_text_answer":8,"step_photo_answer":8,"views":103,"likes":104,"slug":105},537901,"i need 3 rounding problems that equal 9","1. Round 8.5 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8.5 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n2. Round 8.7 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8.7 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\n3. Round 9.2 to the nearest integer:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>9.2 \\approx 9\u003C/math-field>\u003C/math-field> \u003Cbr />\n\u003Cbr />\nAnswer: 9, 9, 9",1229,246,"i-need-3-rounding-problems-that-equal-9",{"id":107,"category":36,"text_question":108,"photo_question":38,"text_answer":109,"step_text_answer":8,"step_photo_answer":8,"views":110,"likes":111,"slug":112},537900,"72 forth graders are going on a camping trip. 9 chaperones are also going. If a van can seat 12 people how many vans are needed?","1. Calculate the total number of people: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 72 + 9 = 81 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Divide the total number of people by the number of seats per van:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} = 6.75 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Round up to the nearest whole number, because you can't have a fraction of a van: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\lceil 6.75 \\rceil = 7 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nTherefore, 7 vans are needed.",801,160,"72-forth-graders-are-going-on-a-camping-trip-9-chaperones-are-also-going-if-a-van-can-seat-12-people-how-many-vans-are-needed",{"id":114,"category":36,"text_question":115,"photo_question":38,"text_answer":116,"step_text_answer":8,"step_photo_answer":8,"views":117,"likes":118,"slug":119},537899,"81 divided by 12","1. Start with the division: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} \u003C/math-field>\u003C/math-field>\u003Cbr />\n2. Simplify the fraction: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{81}{12} = \\frac{27}{4} \u003C/math-field>\u003C/math-field>\u003Cbr />\n3. Convert the fraction to a mixed number: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> \\frac{27}{4} = 6 \\frac{3}{4} \u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Alternatively, divide to get the decimal: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 81 \\div 12 = 6.75 \u003C/math-field>\u003C/math-field>\u003Cbr />\n5. Answer in decimal: 6.75",635,127,"81-divided-by-12",{"id":121,"category":36,"text_question":122,"photo_question":38,"text_answer":123,"step_text_answer":8,"step_photo_answer":8,"views":124,"likes":125,"slug":126},537898,"Factor the expression using GCF 39-13","Solution:\u003Cbr />\n1. Identify the numbers in the expression: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39\u003C/math-field>\u003C/math-field> and \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n2. Determine the greatest common factor GCF of the numbers:\u003Cbr />\n- The factors of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39\u003C/math-field>\u003C/math-field> are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 3, 13, 39\u003C/math-field>\u003C/math-field>\u003Cbr />\n- The factors of \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field> are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 13\u003C/math-field>\u003C/math-field>\u003Cbr />\n- The common factors are: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>1, 13\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Therefore, the greatest common factor is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n3. Factor the expression by dividing each term by the GCF:\u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39 - 13 = 13 \\times 3 - 13 \\times 1\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Factor out the GCF \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13\u003C/math-field>\u003C/math-field>: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>133β1\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Simplify the expression inside the parentheses:\u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3 - 1 = 2\u003C/math-field>\u003C/math-field>\u003Cbr />\n- Therefore, the factored expression is: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13 \\times 2\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplified result: \u003Cbr />\n- \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13 \\times 2 = 26\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nThus, the expression \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>39 - 13\u003C/math-field>\u003C/math-field> factors to \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>132\u003C/math-field>\u003C/math-field> or simplifies to \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>26\u003C/math-field>\u003C/math-field>.",373,75,"factor-the-expression-using-gcf-39-13",{"id":128,"category":36,"text_question":129,"photo_question":38,"text_answer":130,"step_text_answer":8,"step_photo_answer":8,"views":131,"likes":132,"slug":133},537897,"Is 4 a factor of 1,671,349? \nHow do you know without multiplying or dividing?","1. Identify the last two digits of the number 1,671,349: 49.\u003Cbr />\n2. Check if 49 is divisible by 4:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 49 \\div 4 = 12.25 \u003C/math-field>\u003C/math-field>\u003Cbr />\n Since 12.25 is not an integer, 49 is not divisible by 4.\u003Cbr />\n3. Conclude that 1,671,349 is not divisible by 4.\u003Cbr />\n\u003Cbr />\nAnswer: 4 is not a factor of 1,671,349.",1093,219,"is-4-a-factor-of-1-671-349-how-do-you-know-without-multiplying-or-dividing",{"id":135,"category":36,"text_question":136,"photo_question":38,"text_answer":137,"step_text_answer":8,"step_photo_answer":8,"views":138,"likes":139,"slug":140},537896,"Is 3 a factor of 711?\nHow do you know without multiplying or dividing?","1. According to the divisibility rule of 3, a number is divisible by 3 if the sum of its digits is divisible by 3.\u003Cbr />\n2. The digits of 711 are 7, 1, and 1.\u003Cbr />\n3. Find the sum of these digits: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 7 + 1 + 1 = 9 \u003C/math-field>\u003C/math-field>\u003Cbr />\n4. Check if the sum is divisible by 3. Since:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 9 \\div 3 = 3 \u003C/math-field>\u003C/math-field>\u003Cbr />\n5. The sum 9 is divisible by 3, so 711 is also divisible by 3.\u003Cbr />\n6. Therefore, 3 is a factor of 711.",329,66,"is-3-a-factor-of-711-how-do-you-know-without-multiplying-or-dividing",{"id":142,"category":36,"text_question":143,"photo_question":38,"text_answer":144,"step_text_answer":8,"step_photo_answer":8,"views":145,"likes":146,"slug":147},537894,"What is the amount of an annuity if the payments are 60attheendofeachmonthfor\n10yearsat3.5434.00 are made at the end of\n every month for 15 years at an interest rate of 7.5% per year computed monthly?","Solution:\u003Cbr>\u003Cbr>1. Given:\u003Cbr>\u003Cbr>- Monthly payment: USD 434.00\u003Cbr>\u003Cbr>- Number of years: 15\u003Cbr>\u003Cbr>- Annual interest rate: 7.5%\u003Cbr>\u003Cbr>- Number of compounding periods per year: 12\u003Cbr>\u003Cbr>2. Convert the annual interest rate to a monthly interest rate:\u003Cbr>\u003Cbr>- Monthly interest rate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = \\frac{7.5\\%}{12} = \\frac{0.075}{12}\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Monthly interest rate \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = 0.00625\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>3. Calculate the total number of payments:\u003Cbr>\u003Cbr>- Total number of payments \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 15 \\, \\text{years} \\times 12 \\, \\text{payments/year}\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Total number of payments \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 180\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>4. Use the present value of an annuity formula:\u003Cbr>\u003Cbr>- Present Value PV formula: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV = C \\times \\leftfrac1β(1+r)βnrright\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>- Where:\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>C = 434\u003C/math-field>\u003C/math-field> monthlypayment\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>r = 0.00625\u003C/math-field>\u003C/math-field> monthlyinterestrate\u003Cbr>\u003Cbr>* \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>n = 180\u003C/math-field>\u003C/math-field> totalnumberofpayments\u003Cbr>\u003Cbr>5. Substitute the values into the formula:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV = 434 \\times \\leftfrac1β(1+0.00625)β1800.00625right\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>6. Calculate:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>PV\\approx46817.07\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>The present value of the annuity is approximately USD 46817.07.",874,175,"what-is-the-present-value-of-an-annuity-if-payments-of-434-00-are-made-at-the-end-of-every-month-for-15-years-at-an-interest-rate-of-7-5-per-year-computed-monthly",{"id":156,"category":36,"text_question":157,"photo_question":38,"text_answer":158,"step_text_answer":8,"step_photo_answer":8,"views":159,"likes":160,"slug":161},537891,"4x+5 +7 = 9 the plus sign next to the 5 is small","1. Begin by simplifying the equation: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x + 5 + 7 = 9\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n2. Combine the constant terms on the left side: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x + 12 = 9\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n3. Subtract 12 from both sides: \u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = 9 - 12\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n4. Simplify the right side:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = -3\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n5. Divide both sides by 4 to solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = \\frac{-3}{4}\u003C/math-field>\u003C/math-field>.\u003Cbr />\n\u003Cbr />\n6. Therefore, the solution is:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = -0.75\u003C/math-field>\u003C/math-field>.",1045,209,"4x-5-7-9-the-plus-sign-next-to-the-5-is-small",{"id":163,"category":36,"text_question":164,"photo_question":38,"text_answer":165,"step_text_answer":8,"step_photo_answer":8,"views":166,"likes":83,"slug":167},537890,"A water pipe runs diagonally under a rectangular garden that is 7 feet longer than it is wide. If the pipe is 13 feet long what are the dimensions of the garden","1. Write the equation for the Pythagorean theorem:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w+7^2 = 13^2 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n2. Calculate the square of 13:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>13^2 = 169\u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n3. Expand the equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w+7^2 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + w2+14w+49 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n4. Combine like terms:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w + 49 = 169 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n5. Simplify and rearrange the equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w + 49 - 169 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> 2w^2 + 14w - 120 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n6. Divide the entire equation by 2 to simplify:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w^2 + 7w - 60 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n7. Factor the quadratic equation:\u003Cbr />\n \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w+12wβ5 = 0 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n8. Solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>w\u003C/math-field>\u003C/math-field>:\u003Cbr />\n - Either \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w + 12 = 0 \u003C/math-field>\u003C/math-field> which gives \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w = -12 \u003C/math-field>\u003C/math-field> notpossibleinthiscontext,sincewidthcanβ²tbenegative\u003Cbr />\n - Or \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w - 5 = 0 \u003C/math-field>\u003C/math-field> which gives \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w = 5 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\n9. Find the length:\u003Cbr />\n - Length = \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only> w + 7 = 5 + 7 = 12 \u003C/math-field>\u003C/math-field>\u003Cbr />\n\u003Cbr />\nTherefore, the width is 5 feet and the length is 12 feet.",445,"a-water-pipe-runs-diagonally-under-a-rectangular-garden-that-is-7-feet-longer-than-it-is-wide-if-the-pipe-is-13-feet-long-what-are-the-dimensions-of-the-garden",{"id":169,"category":36,"text_question":170,"photo_question":38,"text_answer":171,"step_text_answer":8,"step_photo_answer":8,"views":172,"likes":173,"slug":174},537889,"Two angels are supplementary if the sun of their angels is 180 degrees. One of the two supplementary angles is 8 degrees less than three times the other. Find the measure of each angle.","**\u003Cbr />\n\u003Cbr />\n1. Define the angles: Let the first angle be \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>. The second angle is \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x - 8\u003C/math-field>\u003C/math-field>.\u003Cbr />\n2. Set up the equation for supplementary angles: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x + 3xβ8 = 180\u003C/math-field>\u003C/math-field>.\u003Cbr />\n3. Simplify the equation: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x - 8 = 180\u003C/math-field>\u003C/math-field>.\u003Cbr />\n4. Solve for \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x\u003C/math-field>\u003C/math-field>: \u003Cbr />\n - Add 8 to both sides: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x = 188\u003C/math-field>\u003C/math-field>.\u003Cbr />\n - Divide by 4: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>x = 47\u003C/math-field>\u003C/math-field>.\u003Cbr />\n5. Find the second angle: \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>3x - 8 = 347 - 8 = 141 - 8 = 133\u003C/math-field>\u003C/math-field>.\u003Cbr />\n6. Conclusion: The angles are 47 degrees and 133 degrees.",1361,272,"two-angels-are-supplementary-if-the-sun-of-their-angels-is-180-degrees-one-of-the-two-supplementary-angles-is-8-degrees-less-than-three-times-the-other-find-the-measure-of-each-angle",{"first":6,"last":176,"prev":8,"next":10},180,{"current_page":6,"from":6,"last_page":176,"links":178,"path":212,"per_page":213,"to":213,"total":214},[179,182,185,187,189,191,193,196,199,202,205,208,210],{"url":6,"label":180,"active":181},"1",true,{"url":10,"label":183,"active":184},"2",false,{"url":13,"label":186,"active":184},"3",{"url":16,"label":188,"active":184},"4",{"url":19,"label":190,"active":184},"5",{"url":22,"label":192,"active":184},"6",{"url":194,"label":195,"active":184},7,"7",{"url":197,"label":198,"active":184},8,"8",{"url":200,"label":201,"active":184},9,"9",{"url":203,"label":204,"active":184},10,"10",{"url":206,"label":207,"active":184},179,"179",{"url":176,"label":209,"active":184},"180",{"url":10,"label":211,"active":184},"Next »","https://api.math-master.org/api/question",20,3586,{"data":216},{"questions":217},[218,222,226,230,234,238,242,246,250,254,258,262,266,270,274,278,282,286,290,294],{"id":219,"category":36,"text_question":220,"slug":221},531999,"How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117","how-to-find-the-value-of-x-and-y-which-satisfy-both-equations-x-2y-24-and-8x-y-117",{"id":223,"category":36,"text_question":224,"slug":225},532043,"a ferry travels 1/6 of the distance between two ports in 3/7 hour. The ferry travels at a constant rate.\nAt this rate, what fraction of the distance between the two ports can the ferry travel in one hour.","a-ferry-travels-1-6-of-the-distance-between-two-ports-in-3-7-hour-the-ferry-travels-at-a-constant-rate-at-this-rate-what-fraction-of-the-distance-between-the-two-ports-can-the-ferry-travel-in-one-h",{"id":227,"category":36,"text_question":228,"slug":229},532095,"What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?","what-is-the-amount-of-interest-of-75-000-at-3-45-per-year-at-the-end-of-12-years-and-6-months",{"id":231,"category":36,"text_question":232,"slug":233},532300,"A hotel in the Algarve had to offer 1 week of vacation to one of its employees as an Easter gift in a random choice. It is known that 80 people work in this hotel unit, 41 of whom are Portuguese and 39 are foreign nationals. There are 14 Portuguese men and 23 foreign women. Using what you know about conditional probability, check the probability that the gift was offered to a Portuguese citizen, knowing that it was a woman.","a-hotel-in-the-algarve-had-to-offer-1-week-of-vacation-to-one-of-its-employees-as-an-easter-gift-in-a-random-choice-it-is-known-that-80-people-work-in-this-hotel-unit-41-of-whom-are-portuguese-and-3",{"id":235,"category":36,"text_question":236,"slug":237},533921,"A food delivery company charges on average a delivery fee of 5perorder(includingfoodandshipping)andhasmonthlyfixedcostsof600. If the average cost of each meal delivered that is revenue for the company is 10andthecompanyhasamonthlyprofitof800, how many orders must they deliver per month?","a-food-delivery-company-charges-on-average-a-delivery-fee-of-5-per-order-including-food-and-shipping-and-has-monthly-fixed-costs-of-600-if-the-average-cost-of-each-meal-delivered-that-is-revenue",{"id":239,"category":36,"text_question":240,"slug":241},533971,"The sum of two numbers is 6, and the sum of their squares is 28. Find these numbers exactly","the-sum-of-two-numbers-is-6-and-the-sum-of-their-squares-is-28-find-these-numbers-exactly",{"id":243,"category":36,"text_question":244,"slug":245},533987,"The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?","the-director-of-a-company-must-transfer-6-people-from-the-human-resources-department-to-the-sales-department-in-order-to-sustain-sales-during-the-month-of-december-what-is-the-probability-that-he-wi",{"id":247,"category":36,"text_question":248,"slug":249},533991,"An integer is taken at random from the first 40 positive integers. What is the probability that the integer is divisible by 5 or 6?","an-integer-is-taken-at-random-from-the-first-40-positive-integers-what-is-the-probability-that-the-integer-is-divisible-by-5-or-6",{"id":251,"category":36,"text_question":252,"slug":253},534107,"A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?","a-force-of-750-pounds-compresses-a-spring-3-inches-from-its-natural-length-which-is-15-inches-what-will-be-the-work-done-to-compress-it-3-inches-more",{"id":255,"category":36,"text_question":256,"slug":257},534130,"solve for x\n50x+ 120 176βx= 17340","solve-for-x-50x-120-176-x-17340",{"id":259,"category":36,"text_question":260,"slug":261},534136,"Prove that it is not possible to arrange the integers 1 to 240 in a table with 15 rows and 16 columns in such a way that the sum of the numbers in each of the columns is the same.","prove-that-it-is-not-possible-to-arrange-the-integers-1-to-240-in-a-table-with-15-rows-and-16-columns-in-such-a-way-that-the-sum-of-the-numbers-in-each-of-the-columns-is-the-same",{"id":263,"category":36,"text_question":264,"slug":265},534246,"How to do 15 x 3304","how-to-do-15-x-3304",{"id":267,"category":36,"text_question":268,"slug":269},534299,"Three machines called A, B and C, produce 43%, 26% and 31% of the total production of\n a company, respectively. Furthermore, it has been detected that 8%, 2% and 1.6% of the product\n manufactured by these machines is defective.\n a) What is the probability that a product is not defective?\n b) A product is selected at random and found to be defective, what is the\n probability that it was manufactured on machine B?","three-machines-called-a-b-and-c-produce-43-26-and-31-of-the-total-production-of-a-company-respectively-furthermore-it-has-been-detected-that-8-2-and-1-6-of-the-product-manufactured-by-t",{"id":271,"category":36,"text_question":272,"slug":273},534305,"User\n One of the applications of the derivative of a function is its use in Physics, where a function that at every instant t associates the number st, this function s is called the clockwise function of the movement.\n\n By deriving the time function we obtain the velocity function at time t, denoted by vt.\n A body has a time function that determines its position in meters at time t as St=t.Β³βt+2.t . Present the speed of this body at time t = 8 s.","user-one-of-the-applications-of-the-derivative-of-a-function-is-its-use-in-physics-where-a-function-that-at-every-instant-t-associates-the-number-s-t-this-function-s-is-called-the-clockwise-functi",{"id":275,"category":36,"text_question":276,"slug":277},534382,"Twentyβfive students in a class take a test for which the average grade is 75. Then a twentyβsixth student enters the class, takes the same test, and scores 70. The test average grade calculated with 26 students will","twenty-five-students-in-a-class-take-a-test-for-which-the-average-grade-is-75-then-a-twenty-sixth-student-enters-the-class-takes-the-same-test-and-scores-70-the-test-average-grade-calculated-with",{"id":279,"category":36,"text_question":280,"slug":281},534426,"2X+2=8","2x-2-8",{"id":283,"category":36,"text_question":284,"slug":285},534449,"Associate each 2nd degree equation with its respective roots.\n A) x2+6x+8=0\n B)x2-5x-6=0","associate-each-2nd-degree-equation-with-its-respective-roots-a-x2-6x-8-0-b-x2-5x-6-0",{"id":287,"category":36,"text_question":288,"slug":289},534480,"a)\tStatistics scores are normally distributed with the mean of 75 and standard deviation of 7.\r\nWhat is the probability that a student scores between 80 and 88","a-statistics-scores-are-normally-distributed-with-the-mean-of-75-and-standard-deviation-of-7-what-is-the-probability-that-a-student-scores-between-80-and-88",{"id":291,"category":36,"text_question":292,"slug":293},534613,"How many digits are there in Hindu-Arabic form of numeral 26 Γ 1011","how-many-digits-are-there-in-hindu-arabic-form-of-numeral-26-1011",{"id":295,"category":36,"text_question":296,"slug":297},534652,"A small box measures 10 in. by 4 in. by 6 in. high. Find the volume of the box.","a-small-box-measures-10-in-by-4-in-by-6-in-high-find-the-volume-of-the-box",{"data":299},{"id":300,"category":36,"slug":301,"text_question":302,"photo_question":8,"text_answer":303,"step_text_answer":8,"step_photo_answer":8,"views":304,"likes":305,"expert":306},536556,"solve-4x-8y-16-when-x-6","Solve 4x+8y=16 when x=6","1. Substitute \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>\\(x = 6\\)\u003C/math-field>\u003C/math-field> into the equation \u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4x+8y=16\u003C/math-field>\u003C/math-field> :\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>4(6) + 8y = 16\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>2. Simplify the equation:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>24 + 8y = 16\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>3. Subtract 24 from both sides of the equation:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8y = 16 - 24\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>4. Simplify:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>8y = -8\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>5. Divide both sides by 8:\u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>y = -1\u003C/math-field>\u003C/math-field> \u003Cbr>\u003Cbr>Answer: \u003Cbr>\u003Cbr>\u003Cmath-field read-only default-mode=\"inline-math\" class=\"math-expression\">\u003Cmath-field read-only>y = -1\u003C/math-field>\u003C/math-field>",1064,213,{"id":307,"name":308,"photo":309,"biography":310,"created_at":8,"updated_at":8,"rating":311,"total_answer":312},36,"Murray","https://api.math-master.org/img/experts/36/36.webp","Hi I am Satish and i am Gurgaon Delhi NCR.\nWhen i was studying in school I love doing maths since my father was a school teacher.\nWhen grewup i fond of math and i completed my post graduation in mathematics.Also during my degree course I started teaching to students and it became my profession later because I love students and I feel happy when I help them in solving thier problems.\nThank you",4.5,84,{"data":314},{"questions":315},[316,317,321,325,329,333,337,341,345,349,353,357,361,365,369,373,377,381,385,389],{"id":219,"category":36,"text_question":220,"slug":221},{"id":318,"category":36,"text_question":319,"slug":320},532063,"The sum of an infinite geometric series is 13,5 \r\n The sum of the same series, calculated from the third term is 1,5.\r\n Q. Calculate r if r>0.","the-sum-of-an-infinite-geometric-series-is-13-5-the-sum-of-the-same-series-calculated-from-the-third-term-is-1-5-q-calculate-r-if-r-0",{"id":322,"category":36,"text_question":323,"slug":324},532077,"Use the digits of 1,9,2,3 to come up with all the numbers 98 and 95","use-the-digits-of-1-9-2-3-to-come-up-with-all-the-numbers-98-and-95",{"id":326,"category":36,"text_question":327,"slug":328},532094,"Karina has a plot of 5,000 square meters in which she has decided that 60% of it will be used to plant vegetables. Of this part, 12% will be dedicated to planting lettuce. How much surface area of the plot will be used for cultivation?","karina-has-a-plot-of-5-000-square-meters-in-which-she-has-decided-that-60-of-it-will-be-used-to-plant-vegetables-of-this-part-12-will-be-dedicated-to-planting-lettuce-how-much-surface-area-of-the",{"id":330,"category":36,"text_question":331,"slug":332},533882,"Given the vectors: a = (2m β 3n, 4n β m) and b = (2, -3), find the values of m and n that make: a = 5 b.","given-the-vectors-a-2m-3n-4n-m-and-b-2-3-find-the-values-of-m-and-n-that-make-a-5-b",{"id":334,"category":36,"text_question":335,"slug":336},533893,"3(4x-1)-2(x+3)=7(x-1)+2","3-4x-1-2-x-3-7-x-1-2",{"id":338,"category":36,"text_question":339,"slug":340},533961,"2.5 / 21.85","2-5-21-85",{"id":342,"category":36,"text_question":343,"slug":344},534030,"The actual length of an object is 1.3 m\n . If the blueprint uses a scale of 1 : 12\n , what is the length of the line on the drawing?","the-actual-length-of-an-object-is-1-3-m-if-the-blueprint-uses-a-scale-of-1-12-what-is-the-length-of-the-line-on-the-drawing",{"id":346,"category":36,"text_question":347,"slug":348},534066,"Credit title that represents a payment order. This model, which emerged in Brazil, can only be issued in two specific situations: in the purchase and sale of commercial products or in the provision of services. Select the correct alternative:\n Question 6Answer\n\n The.\n Present value\n\n B.\n Promissory note\n\n w.\n Present value\n\n d.\n Duplicate\n\n It is.\n Bill of exchange","credit-title-that-represents-a-payment-order-this-model-which-emerged-in-brazil-can-only-be-issued-in-two-specific-situations-in-the-purchase-and-sale-of-commercial-products-or-in-the-provision-of",{"id":350,"category":36,"text_question":351,"slug":352},534258,"Shows two blocks, masses 4.3 kg and 5.4 kg, being pushed across a frictionless surface by a 22.5-N horizontal force applied to the 4.3-kg block.\nA. What is the acceleration of the blocks?\nB. What is the force of the 4.3-kg block on the 5.4 -kg block?\nC. What is the force of the 5.4 -kg block on the 4.3 -kg block?","shows-two-blocks-masses-4-3-kg-and-5-4-kg-being-pushed-across-a-frictionless-surface-by-a-22-5-n-horizontal-force-applied-to-the-4-3-kg-block-a-what-is-the-acceleration-of-the-blocks-b-what-is-t",{"id":354,"category":36,"text_question":355,"slug":356},534264,"How much does the average college student spend on food per month? A random sample of 50 college students showed a sample mean $670 with a standard deviation $80. Obtain the 95% confidence interval for the amount college students spend on food per month.","how-much-does-the-average-college-student-spend-on-food-per-month-a-random-sample-of-50-college-students-showed-a-sample-mean-670-with-a-standard-deviation-80-obtain-the-95-confidence-interval-fo",{"id":358,"category":36,"text_question":359,"slug":360},534281,"Show this compound proposition to be true or false. Paris is the capital of England or Rome is the capital of Italy","show-this-compound-proposition-to-be-true-or-false-paris-is-the-capital-of-england-or-rome-is-the-capital-of-italy",{"id":362,"category":36,"text_question":363,"slug":364},534316,"XΒ³-27","x-27",{"id":366,"category":36,"text_question":367,"slug":368},534376,"For what values of m is point P (m, 1 - 2m) in the 2β° quadrant?","for-what-values-of-m-is-point-p-m-1-2m-in-the-2-quadrant",{"id":370,"category":36,"text_question":371,"slug":372},534385,"Sections of steel tube having an inside diameter of 9 inches, are filled with concrete to support the main floor girder in a building. If these posts are 12 feet long and there are 18 of them, how many cubic yards of concrete are required for the job?","sections-of-steel-tube-having-an-inside-diameter-of-9-inches-are-filled-with-concrete-to-support-the-main-floor-girder-in-a-building-if-these-posts-are-12-feet-long-and-there-are-18-of-them-how-man",{"id":374,"category":36,"text_question":375,"slug":376},534541,"8. Measurement Jillian measured the distance around a small fish pond to be 27 yards. What would be a good estimate of the distance across the pond: 14 yards, 9 yards, or 7 yards? Explain how you decided.","8-measurement-jillian-measured-the-distance-around-a-small-fish-pond-to-be-27-yards-what-would-be-a-good-estimate-of-the-distance-across-the-pond-14-yards-9-yards-or-7-yards-explain-how-you-deci",{"id":378,"category":36,"text_question":379,"slug":380},534561,"A membership to the gym cost $25 per person in 1995. The membership cost has increased by an average $6 per person for each year since 1995. Write a linear equation for the cost of a gym membership for one person since 1995. What is the cost of a gym membership in 2009?","a-membership-to-the-gym-cost-25-per-person-in-1995-the-membership-cost-has-increased-by-an-average-6-per-person-for-each-year-since-1995-write-a-linear-equation-for-the-cost-of-a-gym-membership-fo",{"id":382,"category":36,"text_question":383,"slug":384},534564,"How many moles are there in 235 grams of potassium thiosulfate pentahydrate? K2S2O3*5(H2O)","how-many-moles-are-there-in-235-grams-of-potassium-thiosulfate-pentahydrate-k2s2o3-5-h2o",{"id":386,"category":36,"text_question":387,"slug":388},534598,"draw the condensed formula fpr 3,3,4 triethylnonane","draw-the-condensed-formula-fpr-3-3-4-triethylnonane",{"id":390,"category":36,"text_question":391,"slug":392},534611,"Convert (324)πππ£π into base-ten","convert-324-five-into-base-ten",{"data":394},[395,399,403],{"id":396,"question":397,"answer":398},120524,"What is the circumference of a circle with a diameter of 6 units?","The circumference can be found using the formula C = Οd, where d is the diameter. Substituting in the given value, C = Ο * 6 = 18.84956 units (rounded to five decimal places).",{"id":400,"question":401,"answer":402},127559,"What are the characteristics of a cubic function f(x) = x^3?","A cubic function has odd degree, leading coefficient of 1, and one turning point. The graph starts in quadrant II and ends in quadrant I, with both ends pointing upwards. The domain and range is all real numbers. The graph is symmetric about the origin and passes through the origin. The rate of change increases or decreases depending on x's positive or negative values. It has no maximum or minimum value. It intersects the x-axis at (0,0).",{"id":404,"question":405,"answer":406},108308,"What is the slope-intercept equation of a line passing through the points (2, -3) and (-4, 5)?","The equation of the line is y = -1.33x + 0.33. 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