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New questions in Mathematics
Calculate to represent the function whose graph is a line that passes through the points (1,2) and (β3,4). What is your slope?
Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.
Two numbers differ by 7, and the sum of their squares is 29. Find the numbers.
(2b) to the 1/4th power. Write the expression in radical form.
2.3/-71.32
The durability of a tire of a certain brand is a Normal random variable with an average of 64,000 km and a standard deviation of 9,000 km. Assuming independence between tires, what is the probability that the 4 tires on a car will last more than 58,000 km?
determine the polynomial F of degree 2 that interpolates. f at points (0;1) (2;5) (4;6). calculate F(0.8). Note: Using the polynomial expression with difference operator.
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.
3+7
Two minus log 3X equals log (X over 12)
Two particles of electrical charges Q1=3.8Γ10-βΆC and q,=4.4Γ10-βΆC are separated in vacuum by a distance of 4.0.10-βΈ m. Since K=9.0.10βΉ N.mΒ²/CΒ², the intensity of the interaction force between them, in newtons, is?
In poker, a full house consists of five cards, where two of the cards have the same number (or letter) and the remaining three also have the same number (or letter) as each other (but not as the previous two cards). Use a search engine or Wikipedia to understand the concept better if necessary. In how many different ways can one obtain a full house?
Find the vertex F(x)=x^2-10x
Calculate the area of the parallelogram with adjacent vertices (1,4, β2), (β3,1,6) π¦ (1, β2,3)
A company dedicated to the manufacture of shirts sells the units at a price of $40, the cost of each shirt is $24, a commission is paid for the sale of a unit of shirt of $2 and its fixed costs are $3500 Determine the marginal contribution
In an economy with C= 10+0.8 Yd ; I= 20+0.1Y ; G= 100 ; X= 20 ; M=10+0.2Y ; T=-10+0.2Y and R= 10, when knew that Yd= Y-T+R. How much is the budget? A. -23.18 B. -28.13 C. -13.28 D. -32.18
Consider mixing 150 ml, 0.1M, HCI with 100 ml, 0.2M, KOH solution. Determine the pH of final solution.
A block slides across the floor with a force of 20N, which has an angle of 30Β°. The mass of the block is 2kg and the coefficient of friction is 0.1. Calculate the value of all the forces involved in this system and finally the value of the acceleration.
Cuboid containers (open at the top) should be examined with regard to their volume. The figure below shows a network of such containers (x β Df). Determine a function Ζ (assignment rule and definition area D) that describes the volume of these containers and calculate the volume of such a container if the content of the base area is 16 dmΒ². Show that this function f has neither a local maximum nor a global maximum
(3b)β (5b^2)β (6b^3)
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solve for x 50x+ 120 (176-x)= 17340
During a fishing trip Alex notices that the height h of the tide (in metres) is given by h=1β(1/2)*cos(Οt/6) where t is measued in hours from the start of the trip. (a) Enter the exact value of h at the start of the trip in the box below.
User The average height of Aranka, BΓΆske, Cili, Delinke and Lili is 172 cm. We know that Aranka and Cili are both 172 cm tall. The sum of the heights of BΓΆskΓ© and Delinke is 336 cm. How tall is Lili?
The market for economics textbooks is represented by the following supply and demand equations: P = 5 + 2Qs P = 20 - Qd Where P is the price in Β£s and Qs and Qd are the quantities supplied and demanded in thousands. What is the equilibrium price?
3 A tree is planted when it is 1.2 m tall. Every year its growth is 3/8 of its previous year's height. Find how tall the tree will grow.
A company receives sales in $20 per book and $18 per calculator. The per unit cost to manufacture each book and calculator are $5 and 4$ respectively. The monthly (30 day) cost must not exceed $27000 per month. If the manufacturing equipment used by the company takes five minutes to produce a book and 15 minutes to produce a calculator, how many books and calculators should the company produce to maximise profit? Please solve graphically and
The sick-leave time of employees in a firm in a month is normally with a mean of 100 hours and a standard deviation of 20 hours. Find the probability that the sick-leave time of an employee in a month exceeds 130 hours.
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Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
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Matilde knows that, when driving her car from her office to her apartment, she spends a normal time of x minutes. In the last week, you have noticed that when driving at 50 mph (miles per hour), you arrive home 4 minutes earlier than normal, and when driving at 40 mph, you arrive home 5 minutes earlier later than normal. If the distance between your office and your apartment is y miles, calculate x + y.