Basic Math Questions and Answers

In 2016, there were approximately 4. 46 x 10⁹ people in Asia. On average, a person takes 8.4 x 106 breaths per year. Using this data, what was the number of breaths of all the people in Asia in 2016? Expressing your answer i scientific notation in the form a x 10, what are the values of a and b? What is the value of a? What is the value of b?

Find the critical value(s) for a left-tailed z-test with α = 0.08. Include a graph with your answer. The critical value(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.)

A new car is purchased for 23700 dollars. The value of the car depreciates at 13.5% per year. What will the value of the car be, to the nearest cent, after 10 years?

An electronics store advertises that one lucky customer will be given a television at the store's 10th anniversary celebration. On the day of the celebration, 150 customers, of which 82 are less than 30 years old and 68 are 30 years old or more, complete a form to enter for the chance to win the television. The manager of the store wants to select the winner by drawing a form out of a box, but the box can only hold 100 forms. Which method ensures both that the manager can use the box for the selection and that each customer has a fair chance of winning? A Divide the forms into two lots based on age. Then, randomly select one of the lots and place it in the box. Randomly select the winning customer's form out of the box. B. Randomly divide the 150 forms into five equal-sized groups. Then randomly select 4 of the groups and place them in the box. Randomly select the winning customer's form out of the box. C. Sort the forms alphabetically by last name. Then, place the first 100 forms into the box. Randomly select the winning customer's form out of the box. D. Randomly divide the 150 forms into three equal-sized lots. Then, randomly select two of the lots and place them in the box. Randomly select the winning customer's form out of the box.

For the given principal, interest rate, and time period, determine the amount of interest that would be earned in an account paying simple interest. Also determine the amount of interest that would be earned in an account paying compound interest with interest compounded monthly. Determine how much more interest would be earned in the account paying compound interest. Round to the nearest cent. Principal: $6720 Rate: 4.25% Years: 9 1/2

Which of the following events are most likely independent of each other Your homework average in Geometry and your grade on this test Your grade on this test and your grade on another teacher's test The number of hours of sleep you had last night and your grade on this test Your grade on this test and the number of hours you spent studying for it

A lumber mill is preparing pieces of wood that meet these requirements. A finished piece of wood is shaped like a rectangular prism. The width of each piece of wood will vary (w). • The height of each piece of wood must be twice the width (2w). . The length of each piece of wood must be 10 inches more than 30 times the width (30w + 10). Which expression represents the volume in terms of the width, in cubic inches, of each piece of finished wood? Use V= /hw

Mildred sold magazine subscriptions with three prices: $27, $13, and $18. She sold 8 fewer of the $27 subscriptions than of the $13 subscriptions and sold a total of 32 subscriptions. If her total sales amounted to $556, how many $18 subscriptions did Mildred sell?

In a circle with radius 10, an angle intercepts an arc of length 5π/3. Find the angle in radians in simplest form.

A road map has a scale where 16 miles of actual distance is represented by 1 inch on the map. Two cities are 9.5 inches apart on the map. How far is the actual distance between the two city centers? 104 miles 136 miles 120 miles 152 miles

Use the FOIL method to find the terms of the following multiplication problem. (4+6i)-(4-6i)

A researcher is examining the claims made by a water softener salt manufacturer. He performs an experiment using water from a variety of sources. For each water source, he has a sample with no treatment and a sample treated with the recommended amount of the water softener salt. He then tests each sample to measure the softness and compares the results, determining that the claims made by the manufacturer are true.

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

According to statistics, a person will devote 36 years to sleeping and watching TV. The number of years sleeping will exceed the number of years watching TV by 20. Over the lifetime, how many years will the person spend on each of these activities? years watching TV and years sleeping. The person will spend (Type whole numbers.)

A cylinder has a base diameter of 20in and a height of 17in. What is its volume in cubic in, to the nearest tenths place?

In some country the budget for defense exceeded the budget for education by $621.9 billion. If x represents the budget for education, in billions of dollars, how can the budget for defense be represented? If x represents the budget for education, in billions of dollars, the budget for defense can be represented by. (Use integers or decimals for any numbers in the expression.)

Suppose the average yearly salary of an individual whose final degree is a master's is $35 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $118 thousand. Find the average yearly salary of an individual with each of these final degrees. The average yearly salary for an individual whose final degree is a bachelor's is $ thousand and the average yearly salary for an individual whose final degree is a master's is $thousand.

A beach ball is a sphere with a diameter of 10 inches. What is the volume, in cubic inches, of the beach ball? Enter your answer in the space provided. Round your answer to the nearest whole cubic inch.

Anna wants to rent movies from either Service A or Service B. Service A charges $37.92 as a subscription fee with a charge of $2.18 per movie. Service B charges $33.25 as a subscription fee plus $3.55 per movie. Service B is running a special offer where the first movie is free. Given that Anna always rents at least 1 movie in a given subscription period, how many movies would she have to rent for the average cost per movie to be equal at Service A or Service B? A. 6 B. 0 C. 1 D. 7

Kelly is learning about rational and irrational numbers. What conclusion can she draw about the number. 0.01011011101111011111...? It is irrational because it repeats It is rational because it repeats It is rational because it terminates It is irrational because it neither repeats nor terminates.

Right now, Mrs. Sarro's age is 2 years more than 5 times her daughter's age. Two years ago, she was seven times as old as her daughter was then. If s represents Mrs. Sarro's age now and drepresents her daughter's age now, write a system of equations that could be used to model this scenario. Use this system of equations to determine, algebraically, the ages of both Mrs. Sarro and her daughter now. Determine how many years from now Mrs. Sarro will be three times as old as her daughter will be then.

Suppose that the mean cost of a haircut for a man is $28 and the mean cost of a haircut for a woman is $44. Which statement is true about the cost of haircuts? On average, the cost of a man's haircut is $16 less than the cost of a woman's haircut Hal of all men pay less than $28 for a haircut Half of all women pay more than $44 for a haircut All men's haircuts cost less than women's haircuts All women's haircuts cost $16 more than men's haircuts

A particular adjustable rate mortgage (ARM) will maintain its initial interest rate for eight years, and each year afterward it will be adjusted. Which of these symbolically expresses that loan arrangement? 1/8 8/1 1/1 8/8

Solve and check the following linear equation. 21-13+9y-3(y+3)]=-2(2y-7)-[(y-1)-2y+11] What is the solution? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is B. The solution set is (x1x is a real number). C. The solution set is Ø.

Kevin cycles 18 miles every morning as part of his exercise. The time it takes him to complete the distance varies inversely as the speed at which he rides. Which equation best models the amount of time it takes him to finish with his cycling, t, if he rides at a speed of m miles per hour? A. t = 18 + m B. t=m/18 C. t = 18m D. t = 18/m

Find the mean, median, and mode of the data. 7, 7, 8, 9, 5, 2, 9, 10, 7, 6 A 7,7, none B. 7,7.5, none C. 7.7,7.5,9 D. 7,7,7

Your younger brother has challenged you to a swimming race to see who can swim to the opposite side of the pool first. You know that your brother swims more slowly than you, so to make things more even you choose to swim along a path at a 40 degree angle from the path that would go directly across the pool. The pool is 60 feet wide. Draw a diagram and label all values mentioned to illustrate the problem.

Write an equation of the line with the given slope and the given y-intercept. Express the answer in standard form. Slope 2/9, y-intercept(0/1/3) Choose the correct equation below. A. 9x+2y=3 B. 9x-2y=3 C. 2x+9y=-3 D. 2x-9y=-3

A rectangular prism has a length of 18 meters, a height of 3 meters, and a width of 4 meters. What is its volume, in cubic meters? Answer: V =meters³ Submit Answer

Adriana is taking out a loan to buy a car. The APR is 6.5% for a three year loan. The car salesman offered a cash-back incentive of $5500 off an original price of $33,000. What is the monthly amount that Anthony will have to pay? $764.65 $1011.42 $842.85 $917.59

Biologist have found that the number of chirps some crickets make per minute is related to the temperture. The rekationship is very close to being linear, At 68 gegrees the cricket chirps 124 times, and at 80 degrees the cricket chirps 172.

In a circle, an angle measuring 4.9 radians intercepts an arc of length 3.4. Find the radius of the circle to the nearest 10th.

Select the correct answer from each drop-down menu. Jane bought a new rectangular placemat with an area of 126 square inches. The length of the placemat is four times the quantity of nine less than half its width. Complete the equation that models the area of the placemat, in terms of the width of the placemat, w. The width of the placemat is

In a circle with radius 4.4, an angle intercepts an arc of length 21.2. Find the angle in radians to the nearest 10th.

Find the missing terms of the arithmetic sequence: 14, 18,....30 a. 23, 29 b. 22, 34 c. 4,8 d. 22, 26

Which equation has the same solution as x² - 8x + 20 = -10? (x-4)² = -14 (x-4)²-46 (x+4)² = −14 (x+4)² = -46

The volume of a cylindrical soap dispenser is modeled by the expression below. π(x + 1)²(4x + 1) Select the true statement. A. The expression π (x + 1)2 represents the radius of the soap dispenser. B. The expression π (x + 1)2 represents the radius of the soap dispenser. C. The factor 4x + 1 represents the area of the base of the soap dispenser. D. The factor 4x + 1 represents the height of the soap dispenser.

Solve the following system of inequalities graphically on the set of axes below. State the coordinates of a point in the solution set. y≤ 2x 6 y≤-1/2x -1

A store sells cement mix in 20-, 40-, and 50-pound bags. Last week the store sold 25 bags of cement mix. The store sold a total of 920 pounds of mix. The number of 40-pound bags the store sold was two less than twice the number of 20-pound bags it sold. Find the number of 20-, 40-, and 50-pound bags sold last week.

You have been asked to cut two boards (exactly the same length after the cut) and place them end to end. If the combined length must be within 0.06 inches of 30 inches, then each board must be within how many inches of 15?

A toy plane is thrown upward with an initial velocity of 7 meters per second from an initial height of 4 meters. About how much time does it take for the plane to hit the ground? About 0.5 seconds About 1.9 seconds About 2.38 seconds About 4 seconds

Briana's house is worth $179,000. The property tax rate in her county is 1.8%. What is the amount she should set aside each month to pay her property taxes? $805.50 $1611 $3222 $268.50

Kyle throws a baseball straight up from a height of 4 feet with an initial speed of 30 feet per second. If Kyle doesn't catch the ball, when will the ball hit the ground? 1 second 2 seconds 8 seconds 3.621 seconds

Which of the following expressions represents the verbal description below? the square of the sum of 7 times x and 3 divided by 4 times the difference of x and 1

Solve the proportion you found in the previous exercise. A. about 17.5 miles B. about 0.057 miles C. about 3.43 miles D. about 10.50 miles

George made the box plots to compare the number of calories between his morning snacks and his afternoon snacks. Compare the ranges of the two plots and determine the answer that best fits the data. The range of calories in George's morning snacks is about 80 more than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 80 less than the range of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 less than the nge of calories in his afternoon snacks. The range of calories in George's morning snacks is about 150 more than the range of calories in his afternoon snacks.

Find the difference of the polynomials given below and classify it in terms of degree and number of terms. 3n2(n2 + 4n 5) (2n2-n4 + 3) A. 4th degree polynomial with 4 terms B. 4th degree polynomial with 5 terms C. 3rd degree polynomial with 4 terms D. 3rd degree polynomial with 5 terms

A carousel with a 60-foot diameter makes 3 revolutions per minute. (a) Find the angular speed of the carousel in radians per minute. (Round your answer to two decimal places.) (b) Find the linear speed (in feet per minute) of the platform rim of the carousel. (Round your answer to two decimal places.)

Determine the value of y, if x is -12. y = |x|-5

You invest $2000 in a bank account. Find the amount of simple interest you earn in two years for an annual interest rate of 5.5%. Use the formula for simple interest /= p r t, where / is the interest, p is the principal, r is the annual interest rate, and t is the time in years. A. $22,000 B. $2,200 C. $220 D. $22