Math Questions

A restaurant offers a $12 dinner special that has 6 choices for an appetizer, 12 choices for an entrée, and 3 choices for a dessert. How many different meals are available when you select an appetizer, an entrée, and a dessert? A meal can be chosen in ways. (Type a whole number.)

Suppose that $6000 is placed in a savings account at an annual rate of 3%, compounded monthly. Assuming that no withdrawals are made, how long will it take for the account to grow to $7110? Do not round any intermediate computations, and round your answer to the nearest hundredth.

A gas that exerts a pressure of 6.20 atm in a container with a volume mL will exert a pressure of of 9.150 atm when transferred to a "container with a volume of 322 mL.

What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?

When Xavier runs the 400 meter dash, his finishing times are normally distributed with a mean of 61 seconds and a standard deviation of 0.5 seconds. If Xavier were to run 34 practice trials of the 400 meter dash, how many of those trials would be slower than 62 seconds, to the nearest whole number?

How long will it take for a $2000 Investment to grow to $3070 at an annual rate of 6.4%, compounded quarterly? Assume that no withdrawals are made. Do not round any Intermediate computations, and round your answer to the nearest hundredth.

You have been asked to convert a pressure FROM atm TO psi. Which conversion factor would you use? 14.7 psi/1 atm 1 atm/14.7 psi

Consider a function f(x) = x². A second function h(x) is the result of reflecting f(x) across the x axis and translating it 3 units in the positive y-direction (upward). Write the equation of h(x).

What is the diameter of a hemisphere with a volume of 74466 cm³, to the nearest tenth of a centimeter? Answer: cm

Artie needs to save $450 to buy the new bicycle that he wants. He currently has $300. What percent of the cost of a new bicycle has he saved? Claire decides to solve this problem by setting up a proportion. What should her proportion look like? A) 300/100 = X/450 B) x/100 = 300/450 C) x/100 = 450/300 D) 450/100 = x/300

The number of frogs (f) in the pond is proportional to the number of salamanders (s) placed in the pond. Suppose there are 10 frogs for each salamander. Which equation represents the total number of frogs in the pond? s=10f f=10s f = 10/s s=f+10

The circumference of a circle with a radius of 5.8 inches is ?in. Use 3.14 for pi. (Round to the nearest hundredth).

A farmer who only sells produce to local residents in his town wishes to expand to a neighboring city. The farmer calls everyone in the phone book with a last name starting with "S" in the neighboring city and asks them if they would be interested in buying the produce. 242 told the farmer that they would be interested, 576 said they would not be interested and 138 refused to answer Which statement is true? The survey sample is residents of the neighboring city with a last name starting with "S" and whose phone number is listed in the phone book. The survey sample includes current customers. The population of the survey is the 242 that said they would be interested. The population of the survey is all residents of the neighboring city whose phone number is listed.

The floor area of a furniture storeroom is 500 square yards. One sofa requires 3 square yards and one dining table requires 4 square yards of space. The room can hold a maximum of 150 pieces of furniture. Let s represent the number of sofas and t represent the number of tables. Write a system of inequalities to represent the number of pieces of furniture that can be placed in the storeroom.

# 18. Which of the following is a property of a parallelogram? A The diagonals are congruent. C The diagonals bisect the angles. B The diagonals bisect each other. D The diagonals are perpendicular.

The equation 4 = 1300(1.02) is being used to calculate the amount of money in a savings account. What does 1.02 represent in this equation? 1) 0.02% decay 2) 0.02% growth 3) 2% decay 4) 2% growth

Is it ethical for a news blogger to construct a graph that exaggerates the negative effects of logging on the environment? Yes, the environment is important to everyone. Yes, it is important to make sure that people understand the negative effects of logging. No, it is not important if people understand the negative effects of logging. No, results should be presented in a fair and objective manner.

You kick a football at an angle of 55° with an initial speed of 63 feet per second. Estimate to the nearest foot, the horizontal distnace traveled by the football. d = v2/32 sin 2θ.

#35. Find the measure of the angle of elevation of the Sun when a pole 32 feet tall casts a shadow that is 53 feet long. (Hint: Draw and Label a right triangle) A 37.14 B 58.88 C 31.12 D 52.86

There is a circular track that surrounds a patch of grass. The radius from the grass to the track is 23 feet. How many feet long is the track? Your answer should be a number only. Use 3.14 for pi. Round your answer to the nearest hundredth.

You want to put edging around your above ground rectangular pool. The dimensions of the pool are 22 ft. by 27 ft. How many feet of edging do you need to purchase to surround the pool? Your answer should be a number only.

Jose' holds a rock 1m above the ground. The rock has 100J of PE and 0 KE while she holds the rock. Which of the following is true if Becky drops the rock? * Electrical Energy It's impossible to tell without knowing the rock's mass. The rock will have OJ of PE and 100J of KE right before it hits the ground. a

Johnny can build 3 1/2 lego planes in 60 minutes. How many can he build in 40 minutes?

A telecommunications company is building a third cell tower in a region with existing towers located at A(-2,-3) and B(5,-3). Each unit in the coordinate plane represents 0.6 mile. They ask you to determine the location of the third tower so that the triangle formed by the three cell towers has an area of about 10.1 square miles and a perimeter of about 15 miles, and the distance from the third tower to tower A is about 6 miles. Estimate the coordinates of the third tower to the nearest integer.

Write a rule for g that represents the indicated transformations of the graph of f g (z) = A tan B (x - C) + D ƒ(x) = 1/6 tan (x): Translation 6 units down, 4 units left, then reflected over the line y = -6

A swimming pool is being filled at the rate of 12 cubic yards per minute. If the pool is 18 yards long, 10 yards wide, and 3 yards deep, how many minutes will it take to fill the pool? 540 minutes 101 minutes 1,233 minutes 45 minutes

Using the formula A = ½bh for the area of a triangle where b is the base and h is the height, find the area of a triangle whose base is 12 units and whose height is 24 units. Enter only the numeric value with no letters or =.

For the polynomial function f(x) = .5x³ + .25x2 + .125x+ .0625, find the zeros. Then determine the multiplicity at each zero and state whether the graph displays the behavior of a touch or a cross at each intercept. x = .5, cross x = .5, touch x = -.5, touch x = -.5, cross

For the polynomial function f(x) = -0.02x4+.36x2 - 1.62, find all local and global extrema. No local extrema exist. The only extrema point is (-1.62, 0). The only extrema point is (9, 0). The local and global extrema are: (-3, 0), (0, -1.62) and (3, 0).

The number of bacteria in a certain sample Increases according to the following function, where y0 is the initial number present, and y is the number present at time t (in hours). y=y0e^0.05671 How many hours does it take for the size of the sample to double? Do not round any Intermediate computations, and round your answer to the nearest tenth.

Anthony owns a small business selling bagels. He knows that in the last week 3 customers paid cash, 33 customers used a debit card, and 34 customers used a credit card. Based on these results, express the probability that the next customer will pay with cash as a fraction in simplest form.

Julie is asked to solve the system below by elimination. Which of the following steps would be the best way to begin? 2x+y=-3 ? 3x-2y = 2 A. Multiply 1 by 2 and multiply by 3 B. Multiply 2 by 2 C. Multiply 1 by 2 D. Multiply 2 by 2 and multiply 1 by -2

Which is the contrapositive of the statement below? If you do your homework, then you will be prepared for the test. If you are prepared for the test, then you did your homework. If you are not prepared for the test,then you did not do your homework. If you do not do your homework, then you will not be prepared for the test. If you do your homework, then you will be prepared for the test.

Cost to store: $65 Markup: 25% 40% Sale Price Sale Price: $48 Selling Price: $81.25

A group of biologists is surveying the mice population in a forest. The equation n = 75.3¹ gives the total number of mice, n, t years since the survey began. Explain what the numbers 75 and 3 mean in this situation.

Tom is fertilizing his garden. The garden is in the shape of a rectangle. Its length is 12 feet and its width is 10 feet. Suppose each bag of fertilizer covers 30 square feet. How many bags will he need to cover the garden?

Use Cramer's rule and the calculator provided to find the value of x that satisfies the system of linear equations. -4x-4y+5z=-2 -4x+2y+ 5z = -5 5x-3y-2z=1 Note that the ALEKS graphing calculator can be used to make computations easier.

A bag contains eleven balls labeled 1 through 11. One ball will be randomly picked. What is the probability of picking an even number? Write your answer as a fraction in simplest form.

There are 400 students in the senior class at Oak Creek High School. All of these students took the SAT. The distribution of their SAT scores is approximately normal. The number of students who scored within 2 standard deviations of the mean is approximately 1. 75 2. 95 3. 300 4. 380

You just bought a new car and need to expand your driveway by pouring more concrete. If the dimensions of the addition are 11 ft. by 6.5 ft., how many square feet of concrete do you need to pour? Your answer should be a number only. Do not round.

When Xochitl runs the 400 meter dash, her finishing times are normally distributed with a mean of 84 seconds and a standard deviation of 2.5 seconds. Using the empirical rule, determine the interval of times that represents the middle 68% of her finishing times in the 400 meter race.

The point P (1/2,8) lies on the curve y=4/x. If Q is the point, (x,4/x), find the slope of the secant line PQ for the following values of x. If x = 0.6, the slope of PQ is: 40/3 and if x = 0.51, the slope of PQ is: -18 and if x = 0.4, the slope of PQ is: -20 and if x = 0.49, the slope of PQ is: -18 Based on the above results, guess the slope of the tangent line to the curve at P(0.5, 8): -16

In a right triangle the two legs have measurements of 12 inches and 15 inches. Use the Pythagorean theorem to calculate the length of the hypotenuse. 12.96 inches 5.2 inches 19.21 inches 340.00 inches 28.54 inches

Suppose that the functions and g are defined as follows. ƒ(x)= 5/x+1 g(x)=6/x Find f/g. Then, give its domain using an interval or union of intervals. Simplify your answers.

You buy a tarp to cover the driveway when it snows. The dimensions of your driveway are 10 ft. by 15 ft. If the tarp covers your entire driveway, how many square feet are covered? Your answer should be a number only.

Juan is going to watch a movie in his collection. He has 7 action movies, 12 comedies, and 2 dramas. He will randomly select one movie. What is the probability that the movie he selects is not an action movie? Write your answer as a fraction in simplest form.

Use the Factor Theorem to determine whether x-2 is a factor of P(x) = -2x³ + 3x²-3x+10. Specifically, evaluate P at the proper value, and then determine whether x-2 is a factor.

Consider the following quadratic function. g(x)=2x²-16x+37 (a) Write the equation in the form g (x)= a (x-h)²+k. Then give the vertex of its graph. Writing in the form specified: g(x) = Vertex: (b) Graph the function. To do this, plot five points on the graph of the function: the vertex, two points to the left of the ver vertex. Then click on the graph-a-function button.

Find the difference quotient f(x+h)-f(x)/h, where h≠0, for the function below. f(x) = 3x² - 4

Differentiate the following function. f(x)=3+2x+3 ex