Math Questions

What is the volume of a hemisphere with a diameter of 7.6 m, rounded to the nearest tenth of a cubic meter?

The surface area of a sphere, S is equal to 4r², where is the radius of the sphere. What is the surface area of a sphere with a radius of 6.5 meters? 52π cubic meters 169π cubic meters 169π square meters 52π square meters

A store is having a sale on trail mix and jelly beans. For 3 pounds of trail mix and 5 pounds of jelly beans, the total cost is $15. For 12 pounds of trail mix and 2 pounds of jelly beans, the total cost is $33. Find the cost for each pound of trail mix and each pound of jelly beans. Cost for each pound of trail mix: $ Cost for each pound of jelly beans: $

(a) An angle measures 50°. What is the measure of its complement? (b) An angle measures 47°. What is the measure of its supplement?

The coolest circular rug exists and you just have to have it for your room. If the diameter of the rug is 11 feet, how many square feet of your room floor will it cover?

Using the axis of symmetry formula, find the axis of symmetry and vertex for each equation. 3. y=-x² +10x-26 4. y=3x² - 6x 5. y=2x² - 4

What is the volume of a sphere with a radius of 3 m, rounded to the nearest tenth of a cubic meter? Answer: m² 3

What is the volume of a sphere with a radius of 24.2 ft, rounded to the nearest tenth of a cubic foot?

A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. During one particular week, the two cars went a combined total of 1150 miles, for a total gas consumption of 65 gallons. How many gallons were consumed by each of the two cars that week?

Determine the monthly principal and interest payment for a 15-year mortgage when the amount financed is $85,000 and Click here for table of Monthly Payments the annual percentage rate (APR) is 5.0%. The monthly principal and interest payment is $ (Round to the nearest cent as needed.) i Monthly Principal and Interest Payment per $1000 of Mortgage

If the assessment rate is 46% and the tax rate is $37.84 per $1,000 of assessed value, the property tax on a house with a market value of $170,000 is a. $2,955.96 b. $4,492.60 c. $9,764.50 d. $78,200.00

If 1/4 of a pound costs $3, how much is 1 pound? $12 $9 $6

In 1990, Jamaica's population of 2,466,000 was expected to grow exponentially by 1.1% each year. If you were to write an exponential function representing the situation, what should you used as the initial value? 1.011 110 1990 2,466,000

u =(-4,-5) Find the magnitude of . Enter an exact answer as an expression with a square root symbol or enter an approximate answer as a decimal rounded to the nearest hundredth.

There are 9 green apples and 6 red apples in a basket. (a) What is the ratio of red apples to all apples in the basket? (b) What is the ratio of green apples to all apples in the basket?

Bella's score on a spelling test is a function of the number of hours she studies. Which expression represents Bella's score on a spelling test if she studies for 3 hours? A. 3-score B. Score(3) C. 3(score) D. Score + 3

This is an excerpt from a 1935 sermon by Father Charles Coughlin. In this context of this paragraph, what does the word assailed mean? A) to attack with physical force B) to leave for another location C) to enter into a written contract D) to attack with criticism and ridicule

A roast requires 3 hours and 40 minutes in the oven to be cooked. In order to have the roast ready to serve at 6:30 PM, it must be put into the oven at a. 2:00 PM b. 2:10 PM c. 3:30 PM d. 5:50 PM

The tuition and fees (in thousands of dollars) for the top 14 universities in a recent year are listed below. Find the mean, median, and mode of the data, if possible. If any of these measures cannot be found or a measure does not represent the center of the data, explain why. 43 42 39 43 35 43 46 47 42 43 43 47 47 42 Find the mean cost. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The mean cost is (Round to one decimal place as needed.) B. There is no mean cost. Does the mean represent the center of the data? A. The mean represents the center. B. The mean does not represent the center because it is the smallest data value. C. The mean does not represent the center because it is the gest data value. D. The mean does not represent the center because it is not a data value.

Brian and Roxanne each want to run for president of their school's student body council. In order to do so, they must collect a certain number of signatures and get a nomination. So far, Brian has 20 signatures, and Roxanne has 22. Brian is collecting signatures at an average rate of 9 per day, whereas Roxanne is averaging 8 signatures every day. Assuming that their rate of collection stays the same, eventually the two will have collected the same number of signatures. How long will that take? How many signatures will they both have?

The repair bill, y, of a car is proportional to x the number of labor hours. The constant of proportionality is 42.50. Which will check that y is proportional tox? Graphy 42.50x and check that the graph is a straight line that goes through (0,0) Graph 42.50 y and check that the graph is a straight line that goes through (0,0) Graph y 42 50 x and check that the graph is a straight line that goes through (1, 0) Graph y 42.50 x and check that the graph is a straight line that goes through (140)

There are 17 books on a shelf. 8 of these books are new. The rest of them are used. (a) What is the ratio of used books to all books on the shelf? (b) What is the ratio of used books to new books?

Raymond can paint 5/8 of a wall in 16 minutes. How long would it take him to paint 1/3 of a wall? Simplify your answer completely.

Last year, Miguel had $10,000 to invest. He invested some of it in an account that paid 10% simple interest per year, and he invested the rest in an account that paid 8% simple interest per year. After one year, he received a total of $840 in interest. How much did he invest in each account?

The length of human pregnancies from conception to birth varies according to a distribution that is approximately normal with mean 264 days and standard deviation 16 days. Round all answers to the nearest whole numnber. What is the probability that a pregnancy last less than 260 days? What is the probability that a pregnancy last between 250 and 280 days? Doctors agree that serious thought to labor-producing procedures ought to accompany any pregnancy that runs in the longest 2.5% of all pregnancies. At what day should these procedures be considered?

What is the correct first step to solve this system of equations? 4x - 3y = -10 2x + 3y = 4 Add the 2 equations together Subtract the 2 equations Multiply the 2 equations by 3 Divide the first equation by 4

At snack time, there were seven bags of raisins, nine bags of pretzels, and five bags of sunflower seeds. Find the probability of each situation below. Write you answer as a reduced fraction using the / symbol, ex. 1/2. a. Mara chose one bag at random and got pretzels, Since she is allergic to wheat, the teacher let her put the pretzels back, and then, she randomly chose a bag of raisins. What is the probability that she would first choose pretzels and then raisins? b. Mara completed all of her work for the week and was rewarded with two snacks. What is the probability that she chose two bags of sunflower seeds?

Let A be a non-singular matrix of order 3 such that det. (A) = 5 and B is also a non-singular matrix satisfying A-¹B²+ AB = 0. The value of det. (A6- 2A4B + A²B²) is equal to (1) 0 (2) 5^6 (3) 2^3.5^6 (4) 10^6

You buy 100 file folders for $7.72. How much are you paying for each file folder? A. $0.06 B. $0.13 C. $12.95 D. $0.08

Suppose 3 out of 10 game pieces reads "Free candy bar". Which answer below would correctly find the probability that you win exactly 1 free candy bar with 4 game pieces if the events are independent? 4C₁ (.3)¹ (7)³ 10C3 (-25)¹(.75)³ 10C3 (.25) ³ (.75)¹ 1C₁ (-3)¹ (7)³

There are 1.5 mg of iron in 8 ounces of apple juice. If 18 mg are recommended for the RDA for iron, the number of ounces that contain the RDA is a. 27 ounces b. 64 ounces c. 96 ounces d. 144 ounces

Carlos used the following units of electricity for twelve months: 504, 519, 576, 321, 256, 101, 76, 75, 127, 289, 367, and 511. His average unit consumption is a. $88.50 b. $310.17 c. $504.00 d. $511.00

Solve the equation for solutions over the interval [0°, 360°). tan 2θ+9 tan θ+5=0

You want to buy a stuffing mix. There are three brands of stuffing mix available. (You have a 10¢ off coupon for Cook Top Stuffing mix.) Cook Top Stuffing Mix 6 oz. for $1.49 or 12 oz. for $2.99 Saltridge Farms Stuffing Mix 6 oz. for $1.79 Cousin Ben's Stuffing Mix 6 oz. for $1.29 The brand that is the best buy is a. Cook Top 6 oz. b. Cook Top 12 oz. c. Saltridge Farms 6 oz. d. Cousin Ben's 6 oz.

You buy 6 lbs. of apples for $7.20. How many lbs. of apples would you have been able to buy with $1.00? A. 1.2 lbs. C. $0.83 B. 0.83 lbs. D. $1.20

A loan of $40,000 is made at 8% Interest, compounded annually. After how many years will the amount due reach $110,000 or more? (Use the calculator provided if necessary.) Write the smallest possible whole number answer.

Is the density of a gaseous substance likely to be larger or smaller than the density of a liquid or solid substance at the same temperature? Why? Smaller, because gases are mostly empty space. Larger, because solids and liquids have larger particles. Smaller, because gas particles have less mass. Larger, because gases take up more space.

Mary is fertilizing her garden. The garden is in the shape of a rectangle. Its length is 15 feet and its width is 13 feet. Suppose each bag of fertilizer covers 39 square feet. How many bags will she need to cover the garden?

For the real-valued functions f(x)=√2x+4 and g(x)=x-1, find the composition f.g and specify its domain using interval notation. (f.g)(x) = Domain of f g :

the following is most likely the next step in the series? a11 A12, b21, B22, c31, C32 A. d33 B. C33 C. D41 D. d41 E c33 F. D33

Write the complex number z=-2-4i in trigonometric form (sometimes called polar form). Express the angle θ in radians, where 0≤θ<2π. Do not round any intermediate computations, and round the values in your answer to the nearest hundredth.

Select all of the following types of measurements that are measures of 2-dimensions. (2-dimensional measurements will have a units² attached to them. There may be more than one answer, select all answers.) Perimeter Volume Length Surface Area Area

A motorboat takes 4 hours to travel 128 miles going upstream. The return trip takes 2 hours going downstream. What is the rate of the boat in still water and what is the rate of the current?

The ages (in years) of a random sample of shoppers at a gaming store are shown. Determine the range, mean, variance, and standard deviation of the sample data set. 12, 20, 23, 14, 13, 17, 22, 16, 14, 15 The range is 11 (Simplify your answer.) The mean is 16.6. (Simplify your answer. Round to the nearest tenth as needed.) The variance is 14.7. (Simplify your answer. Round to the nearest tenth as needed.) The standard deviation is (Simplify your answer. Round to the nearest tenth as needed.)

If six oranges cost $5.20, what would be the price of one orange? (Round to the nearest cent.) A. $0.15 C. $8.67 B. $0.87 D. $1.15

If you need 2 cups of zucchini for a recipe that feeds 12 people, you will need cups of zucchini to feed 15 people with the same recipe.

Which of the following is/are signified by lim x→af(x) = ∞? This means that f(a) = ∞ The value of f(x) becomes infinite when x approaches a. The value of a goes out to infinity, when it gets close to a. The limit exists and equals infinity. As a approaches a, the value of f(x) increases without bound.

Consider the equation of circles S₁ : x² + y² + 24x - 10y + a = 0 S₂: x² + y² = 36 Which of the following is not correct. (1) Number of non-negative integral values of 'a' such that S₁ = 0 represents a real circle 170 (2) If S₁ 0 and S₂ = 0 has no point in common then number of integral values of a is more than 49 (3) If S, = 0 and S₂ = 0 intersect orthogonally then a = 36 (4) If a = 0 then number of common tangents to the circles S₁ = 0 and S₂ = 0 are 3.

Find the direction angle of the vector w=5i-3j. That Is, find the angle between 0° and 360° that w makes with the positive x-axis (measured counterclockwise), when w is in standard position. Do not round any intermediate computations, and round your answer to the nearest whole number.

A jet travels 3870 miles against the wind in 6 hours and 4710 miles with the wind in the same amount of time. What is the rate of the jet in still air and what is the rate of the wind? Rate of the jet in still air: Rate of the wind: