Q and A for the topic: General

Write a whole number, n, that is larger than 5. To keep things interesting, try to pick an n different from what your classmates have already chosen. Give an example of a number whose nth root (for your n above) is a whole number. Explain how you approached finding your example.

A company decided to make some gifts containing three different items (A, B and C). In addition to there not being equal quantities of each item, the packages were made by different people who did not pay attention to the instructions given. In the end, it is known that 49 packages contained only item A, 19 contained only item B and 13 contained only item C. And although 22 packages contained items A and B, 24 contained items A and C and 64 contained items B and C. Only 9 packages contained all three items. What was the initial quantity of each item?

(Croatia) Find all integer solutions of the equation 4x + y + 4√ xy − 28√ x − 14√ y + 48 = 0.

Calculate the length of the arc of the cycle: r(t)=(R(t− sent,R(1−cost)), 0≤t≤2π

Throw a cube numbered from 1 to 6. What is the probability of the number 7, or a number greater than 4, appearing?

a square has a diagonal that is equal to 25cm with this information identify: the perimeter of the square

an equilateral triangle has a height of 12 cm, according to this information, identify the area of the triangle

Determine the theoretical yield, in L, of O2 produced from reacting 24.9 g KO2 (71.10 g/mol) with 3.90 L of CO2 at 273.15 K and 1.00 atm (a.k.a. STP). 4 KO2 (s) + 2 CO2 (g) → 2 K2CO3 (s) + 3 O2 (g) Molar volume of an ideal gas at STP = 22.4 L/mol 𝑃𝑉 = 𝑛𝑅𝑇

18. The density of a gas is 1.43 g/L at STP. What is the molar mass of the gas?

A rabid kitten is shrinking loudly, making sound waves a wavelength of 44 cm. What is the sound frequency? What is the period?

a rabid kitten is shrinking loudly making sound waves with a wavelength of 44 cm. What is the sound frequency? What is the sounds period?

The aim is to build a swimming pool with a volume of 32m³ and a square base. What dimensions minimize the amount of material used to cover the walls (sides and bottom) of a pool.

In the preparation of a food supplement of high nutritional value, 8 pounds are available of component A to prepare three presentations (portions) of different sizes (1, 2, and 3). Size 1 contains 50 grams, size 2, 40 grams, and size 3, 20 grams. Are needed at least 5 servings of size 1, at least half of size 2 compared to size 1, and at least twice as many servings of the smallest as of the largest. The portion of Largest portion generates a profit of $23.00, middle portion generates a profit of $34.00 and the smallest portion generates a profit of $38.00. How many servings should be made? of each class so that the benefit is maximum?

Luis builds a puzzle that has an area equal to 82 m2. If all its pieces are equal and the area of each of them is 22 dm2, how many pieces does the puzzle have?

ual is the compound amount of $9,000.00 at 8.75% convertible biweekly, for 8 years. Select one: to. $36,412.92 b. $37,246.46 c. $36,311.88

the mean of a group of monthly incomes with a normal distribution,l for a large set of mid-level technicians in large mining in Chile, is equivalent to $1,000,000, the standard deviation is $100,000. a) What is the value of z for an income of $1,100,000? And for one of $900,000?

An insurer knows that 2 out of every 10 people who hire its services do so for more than one insurance. Find the probability that, in the next 40 contracts, between 7 and 12 clients purchase more than one insurance. * You must associate the resolution of the exercise with a discrete distribution function.

A company knows that the monthly average of licenses submitted during a year by its workers is 6.6, with a deviation of 1.4. With this information, the human resources department believes it can make a projection for the year following. Calculate the probability that the number of licenses for the following year is between 10 and 15. * You must associate the resolution of the exercise with a continuous distribution function.

Considering boys and girls, in a school there are 89 sixth grade students, of which 64 play soccer and the rest basketball. If 20 of the 48 girls play basketball, how many boys play soccer?

Give the alternative corresponding to the solution of the equation y' = 5y : x - 5y = c. ln⁡|x| + y = c. 5x - ln⁡|y| = c. x - ln⁡|1/y| = c.