Basic Math Questions and Answers

Determine whether the relation is a function. y = -3 Complete the table of values for the equation. Is the relation a function?

Mobile access to social media. The Marketing Management Journal (Fall 2014) published the results of a designed study to investigate satisfaction with the use of mobile devices to access social media. Mobile device users were classified by gender (male or female) and by the social me- dia they use most often (Facebook, Twitter, or YouTube). Consider a similar study in which 10 males and 10 females were sampled for each of the three social media-a total of 60 mobile device users. One of these users is randomly se- lected. Of interest is his or her gender and most used social media. a. Use a tree diagram to determine the possible outcomes (sample points) for this experiment. b. Why should the probabilities assigned to each outcome be equal? Give the value of this probability. c. Find the probability that the selected user is a female who accesses Twitter most often. d. Find the probability that the selected user accesses YouTube most often.

Mary's hourly wage is twice that of John's. John's and Dennis' hourly wages together total $60. If Dennis earns 1/3 of John's rate, what do each of the workers make per hour?

A circle has the equation x² + y² + 6x-8y-11=0. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any, of the graph. (a) The center of the circle is (-3,4). The radius of the circle is

Given f(x)=x²+2, find and simplify. (a) f(t-2) (b) f(a+h)-f(a) (c) f(a)-f(a - h) (a) f(t - 2) = (Simplify your answer. Do not factor.) (b) f(a+h)-f(a) = (Simplify your answer. Do not factor.) (c) f(a)-f(a-h) = (Simplify your answer. Do not factor.)

I can identify congruent parts of a polygon, given a congruency statement 2. List ALL of the congruent parts if EFG≈HGF Which congruent part is correct in regards to Angles: A. Angle E is Congruent to Angle G B. Angle E is Congruent Angle H C. Angle F is Congruent to Angle H D. Angle G is Congruent to Angle H

It takes Cynthia 11 hours to proof a chapter of Hawkes Learning Systems' Intermediate Algebra book and it takes Mandy 5 hours. How long would it take them working together? (Round your answer to two decimal places.)

Three times a larger number added to 4 times a smaller number totals 24. When twice the smaller number is subtracted from twice the larger num- ber, the result is 2. What are the two (2) numbers?

Consider the line y=-x+8. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line? Slope of a perpendicular line: Slope of a parallel line:

Which expression is equivalent to -3 + d + d? A. −2+d B. -d C. −3+2d D. -3d

Charlene and Gary want to make perfume. In order to get the right balance of ingredients for their tastes they bought 5 ounces of rose oil at $4.55 per ounce, 3 ounces of ginger essence for $3.87 per ounce, and 5 ounces of black currant essence for $2.83 per ounce. Determine the cost per ounce of the perfume.

For the equation 3x² + 3y² -24x+12y - 15-0, do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any.

For the following equation, a. Write the value or values of the variable that make a denominator zero. These are the restrictions on the variable. b. Keeping the restrictions in mind, solve the equation. 5/ x+1 - 1/ x-1 = 3x/x²-1 a. Write the value or values of the variable that make a denominator zero. X= (Use a comma to separate answers as needed.) ..... b. What is the solution of the equation? 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.). B. The solution set is {x|x is a real number}. C. The solution set is Ø.

What is the center of the circle? x² + y² + 20x-18y = -1 (100, 81) (10,-9). (-10, 9) (-20, 18)

A corporate jet originally cost $17,550,000. If its value depreciates by 5 percent per year, what will its value be after 10 years? $10,507,833.28 $7,042,166.72 $8,775,000 $10,774,177.60

If the Laffite family deposits $8500 in a savings account at 6.75% interest, compounded continuously, how much will be in the account after 25 years? $227,338.93 $45,950.57 $38,094.36 $38,720.02

Determine whether the statement is true or false. Create several pairs of triangles and measure the corresponding sides and angles to justify your response. If three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

What do the x and y represent in the equation (x - h)2 + (y -k)² = r²? A point in the circle. The center of the circle. A point on the circle. The radius of the circle.

In a certain triangle, the measure of angle A is four times as big as the measure of angle C and the measure of angle B is 30 degrees bigger than the measure of angle C. What is the degree measure of angle A?

How many lateral surfaces and how many bases are contained in the figure below? One base and two lateral surfaces. Three lateral faces and one base Two lateral faces and two bases. Two bases and one lateral face.

The net of a cylinder is made up of what two-dimensional figures? two circles and one rectangle one circle and one rectangle two rectangles and one circle three circles

Use transformations of f(x)=√x to graph the following function. Select all the transformations that are needed to graph the given function using f(x)=√x A. Stretch the graph horizontally by a factor of 6. B. Stretch the graph vertically by a factor of 6. C. Shrink the graph horizontally by a factor of 6. D. Shrink the graph vertically by a factor of 6. E. Shift the graph 6 units to the left. F. Shift the graph 6 units down. G. Reflect the graph about the y-axis. H. Shift the graph 6 units to the right. I. Shift the graph 6 units up. J. Reflect the graph about the x-axis.

Darnell pays for 500 minutes of Internet use a month. The table indicates his Internet usage over the past 4 months. Positive values indicate the number of minutes he went over his allotted time and negative values indicate the number of minutes he was under. Arrange the months from least to most minutes used.

A total of 492 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the number of adult tickets sold. How many adult tickets were sold?

Three (3) batteries are connected in series so that the total voltage is 54 volts. The voltage of the first battery is twice the voltage of the second and 1/3 the voltage of the third battery. Find the actual voltage of each battery.

Which of the following is a false statement? a. A horizontal cross section of a cylinder and a cross section of a sphere are the same shape. b. The diagonal cross section of a pyramid is a rectangle. c. The cross section of a sphere is the same no matter where the cross section is cut. d. A perpendicular cross section of a cylinder and a horizontal cross section of a rectangular pyramid are the same shape.

Solve each of the following equations by manipulating each side so that it is in simplest form. (a) 5(x+2)+x-3=2(x+12) +35 (b) 10(n-2)-2(n-3)=3(2n+1)+1 (c) -2(y+2)+11=4(y+5)+2y+19 (d) 11-2(t-3) = 5(2t+1)-6(t+3) (e) 4w-(w+29)=3(w+5)-(2w+4) (f) 9a-3(2a+5)=7(a-1) a+10

For the equation 3x² + 3y²-24x+12y-15-0, do the following. (a) Find the center (h,k) and radius r of the circle. (b) Graph the circle. (c) Find the intercepts, if any. (a) The center is (4, -2). (he radius is r =

A certain shampoo is available in two sizes. A 14.2-ounce bottle costs $4.78. A 33.9-ounce bottle costs $10.47. Find the unit price for each size. Then state which size is the better buy based on the unit price. Round your answers to the nearest cent.

Find the standard form of the equation of the circle having the following properties: Center at the origin Containing the point (-6,8)

Find the lateral surface area and the volume of the solid The lateral surface area of the solid is (04) mm² The volume of the solid is [64] mm

Given the polynomial functions p(x) and q(x), find p(x)+q(x). p(x) = 2x4+ x² - 2x - 4 q(x)= x4 - 3x³ + 2x² - x +4 3x4 - 2x² - 4x x4 + 3x³ - 2x²-x-8 3x4 - 3x³ + 3x² -x4 - 3x³ + x² + x +8

A leading brand of toothpaste is available in four sizes: 6.4 ounces $3.59; 4.2 ounces for $2.79; 4.0 ounces for $2.29; and a travel size of 0.85 ounces for $0.89. Based on unit price, what size is the best buy?

The demand for a particular commodity is given by D(x) = -35x + 150; that is, x units will be sold (demanded) at a price of p= D(x) dollars per unit. Consumer expenditure E(x) is the total amount of money consumers pay to buy x units. Use calculus to find the instantaneous rate of change of expenditure with respect to x when x = 6. Is expenditure increasing or decreasing when x = 6?

In this problem we will give a graph sketch of f(x) = (3-x)(x + 2)²(x - 1). (a) Factor f(x), find the roots. (b) For each root from part (a), give the degree. (c) Determine the sign decomposition for f(x). (d) Graph f(x):

Health and Fitness Jorge measured his heart rate after jogging. He counted 11 beats during a 6-second interval. What was the unit rate for Jorge's heart rate in beats per minute? 3. Chen bikes 2 miles in hour. What is Chen's unit rate in miles per hour? Amal can run mile in 13 minutes. A. If he can maintain that pace, how long will it take him to run 1 mile?

In Washington DC, the tax on a property assessed at $490,000 is $6,860. If tax rates are proportional in this city, how much would the tax be on a property assessed at $390,000? Choose the proportion you would use to solve the problem.

Which of the following lines is PARALLEL to the graph of 5x + 2y = 8? y = x - 19 y = 2x - 5 y = − 2x + 7 y = 2x/5

Anut store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound. But at the end of the month the peanuts had not sold well, so, in order to sell 70 pounds of peanuts, the manager decided to mix the 70 pounds of peanuts with some cashews and sell the mixture for $3.50 per pound How many pounds of cashews should be mixed with the peanuts to ensure no change in the revenue? The manager should mix pounds of cashews with the peanuts.

A shark is at -80 feet. It swims up and jumps out of the water to a height of 15 feet. Write a subtraction expression for the travels.

The total stopping distance T of a vehicle is shown below, where T is in feet and x is the speed in miles per hour. Approximate the change and percent change in total stopping distance as speed changes from x = 17 to x As speed changes from x = 17 to x = 19 miles per hour, an approximation of the change in x is To approximate the change in total stopping distance, differentiate T = 2.5x + 0.5x² with respect to x and solve for the differential dT. Substitute 17 for x and 2 for dx, to conclude that the approximate change in total stopping distance is as follows.

What is your probability of winning given this situation: You are trying to win a stuffed animal. You have to hit a target two times in a row to win. The probability of you hitting the target in one try is 63%. 23.3% 63% 39.6% 106%

The volume of a rectangular prism is 2x³ +17x² +38x + 15 and one side has a length of x + 5. Find the length of one of the other sides. x-3 x+5 2x + 1 2x-1

A town has a merchant, a baker, and a farmer. To produce $1 worth of output, the merchant requires $0.20 worth of baked goods and $0.45 worth of the farmer's products. To produce $1 worth of output, the baker requires $0.4 worth of the merchant's goods, $0.20 worth of his own goods, and $0.35 worth of the farmer's goods. To produce $1 worth of output, the farmer requires $0.30 worth of the merchant's goods, $0.25 worth of baked goods, and $0.35 worth of his own products. How much should the merchant, baker, and farmer produce to meet a demand for $25,000 worth of output from the merchant, $14,000 worth of output from the baker, and $12,000 worth of output from the farmer? The merchant should produce $, the baker should produce $, and the farmer should produce $[ (Round the final answer to the nearest dollar as needed. Round all intermediate values to two decimal places as needed.)

Use transformations of the graph of f(x)=x² to determine the graph of the given function. g(x)=(x-6)² ***** Select all the transformations that are needed to graph the given function using f(x)=x² A. Shift the graph 6 units to the left. B. Reflect the graph about the x-axis. C. Shift the graph 6 units to the right. D. Reflect the graph about the y-axis. E. Stretch the graph vertically by a factor of 6. F. Shift the graph 6 units up. G. Shift the graph 6 units down. H. Shrink the graph vertically by a factor of 6. I. Shrink the graph horizontally by a factor of 6. J. Stretch the graph horizontally by a factor of 6.

Store normally sells cashews for $4.00 per pound and peanuts for $1.50 per pound, But at the end of the month the peanuts had not sold well, so, in order to sell 70 pounds of peanuts, the manager decided to mix the 70 pounds of peanuts with some cashews and sell the mixture for $3 50 per pound. How many pounds of cashews should mixed with the peanuts to ensure no change in the revenue?

Farmer Ed has 150 meters of fencing, and wants to enclose a rectangular plot that borders on a river. If Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed? The width, labeled x in the figure, is

A rocket is fired upward with an initial velocity v of 676 feet per second. The function S(t)= - 16t² +676t can be used to find the height S of the rocket, in feet, at any time t in seconds. Find the height of the rocket 2 seconds after it takes off.

At a local car dealer, the ideal selling price of a car is $22,000. The dealer allows this price to vary $1200. Create an absolute value inequality that models the range of the price the dealer can sell the car. (Hint: Test your inequality to make sure the price is $1200 below and above the selling price works.)

Determine which of the equations, y = 2x+8 or y=0.5x+8, is the better fit for the data points. (0,8), (1,9), (2,9), (3,10) Which equation is a better fit for the data points? A. y=0.5x+8 B. y=2x+8