Math Questions

Directions: Complete the following statements. 1. The standard form of a quadratic equation is 2. The curve formed by a quadratic equation is called a 3. The formula for the axis of symmetry is 4. If the vertex is the highest point on the graph, it is called a 5. If a vertex is the lowest point on a graph, it is called a

Solve the triangle. a = 23.3 b = 13.2 c=27.7 What is the degree measure of angle A? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed. What is the degree measure of angle B? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed What is the degree measure of angle C? (Simplify your answer. Type an integer or a decimal. Round to the nearest tenth if needed.

Manuel wants to buy new carpet for his living room floor. The floor is in the shape of a rectangle. Its length is 19 feet and its width is 12 feet. Suppose carpet costs $8 for each square foot. How much will carpet cost for the floor?

Let 8 be an angle such that sinθ=-12/13 and tanθ>0. Find the exact values of cot and sec8.

Solve the equation over the interval [0,2π), then support your solutions graphically. 2 cos 2x + 2 cos x = 0 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is. (Use a comma to separate answers as needed. Type exact answers, using as needed.) B. The solution is the empty set.

A candy store called "Sugar" built a giant hollow sugar cube out of wood to hang above the entrance to their store. It took 54 square feet of material to build the cube. What is the volume inside the giant sugar cube? *

What is the volume of a sphere with a diameter of 43.5 cm, rounded to the nearest tenth of a cubic centimeter?

When members of the military are in a combat zone, they often eat meals-ready-to-eat (MRES). A typical MRE contains 1,800 calories. If the average soldier eats 3 MREs per day and is deployed for 6 months, approximately how many calories will be consumed by a 44-member platoon of soldiers? The platoon will consume million calories. (Round to the nearest hundredth as needed.)

Use the formula w=θ/t to find the value of the missing variable. θ= radians, t= 5 sec w= radians per sec (Simplify your answer. Type an exact answer, using as needed.)

(a) An angle measures 26°. What is the measure of its complement? (b) An angle measures 150°. What is the measure of its supplement?

A student who is driving home for the holidays averages 38 miles per hour. Set up the problem below and calculate how many miles the student would travel if the trip home took 6.70 hours.

A clock is malfunctioning. The minute hand of the clock only moves and indicates correct time every 12 minutes. For instance, the clock indicates 12 pm between 12 pm to 12:11 pm and indicates correct time at 12:12 pm. How many times does the clock indicate correct time between 12:10 pm and 5:35 pm?

Starla is 5 feet 9 inches tall. To find the height of a tree, she measured her shadow and the tree's shadow. Her shadow was 8 feet long when the tree's shadow was 30 feet long. To the nearest foot, how tall is the tree? F 15 ft H 28 ft G 22 ft J 42 ft

Flying against the wind, an airplane travels 7760 kilometers in 8 hours. Flying with the wind, the same plane travels 8470 kilometers in 7 hours. What is the rate of the plane in still air and what is the rate of the wind?

The tangent line to the graph of function h at the point (-2,-4) passes through the point (1,5). Find h'(-2). h'(-2)=[

If a line of one billion people standing shoulder-to-shoulder stretches 333,181 miles long, what is the average shoulder width, in feet, of the people in the line?

A rectangle is to be inscribed in an isosceles right triangle in such a way that one vertex of the rectangle is the intersection point of the legs of the triangle and the opposite vertex lies on the hypotenuse. Find the largest area (in cm²) of the rectangle and its dimensions (in cm) given that the two equal legs of the triangle have length 6.

Norman's checking account reconciliation information is as follows: Bank balance $304.79 Checkbook balance $206.19 Unreturned checks $110.17 Unprocessed deposits $12.58 When the account is reconciled, the checkbook balance is a. $206.19 b. $207.20 c. $303.78 d. $304.79

(1) Solve this system using the substitution method: y = 2x-3; y = (1/2)x-4 (2) Solve this application problem using a system of equations: The owner of Jeremy's Garage wants to fill a 55-gallon drum with a 20% winter mixture of antifreeze for is customers. How many gallons of 100% antifreeze should he mix with some 12% antifreeze mixture in order to fill the drum?

Use the formula v= rw to find the value of the missing variable. r = 15 m, w = 3π/5 radians per sec The missing variable is v= m per sec. (Type an exact answer.)

Adam needs to buy a solar blanket for his rectangular pool. The blanket will sit on the surface of the water and keep it warm. If the dimensions of the pool are 15 ft. by 18 ft., how many square feet of water will the solar blanket cover? Your answer should be a number only.

Consider the following system of linear equations. 4x-16y=-4 -4x+21y=-11 Solve the system by completing the steps below to produce a reduced row-echelon form. R, and R₂ denote the first and second rows, respectively. The arrow notation () means the expression/matrix on the left becomes the expression/matrix on the right once the row operations are performed

On the blueprint of a house, 28 millimeters represents 6 meters. The actual length of the living room is 9 meters. What is its length on the blueprint? millimeters

Nicole wants to build a circular deck in her yard. If she needs the radius of the deck to be 7 feet, how many square feet of her yard will be covered by the deck? Your answer should be a number only. Use 3.14 for pi. Round your answer to the nearest hundredth.

The ratio of the sides of two similar parallelograms is 2:9. The perimeter of the larger parallelogram is 38.7 cm. The perimeter of the smaller parallelogram is cm.

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?