Basic Math question and answers for May 16, 2024
- Q For the function below, find a) the critical numbers; b) the open intervals where the function is increasing; and c) the open intervals where it is decreasing.f(x) = x+5/x+2a) Find...
- Q Graph the circle given below by moving the key point:(x + 1) + (y+3) = 16To graph the circle, drag the center point to the desired location, and then drag...
- Q From the window of an airplane, you can see a farmhouse directly below. If the plane is traveling at an altitude of 3 miles, how far from the farmhouse will...
- Q Sketch the graph of the rational function below. Include any vertical asymptotes and describe the end behavior of the rational function.r(x) =x+3x-4/(x-2)(x+4)(x - 1)
- Q A car is 180 inches long. A truck is 75% longer than the car.How long is the truck?135 inches240 inches255 inches315 inches
- Q The average price of a movie ticket in the United States from 1980 to 2000 can be modeled by the expression 2.75 +0.10z, where z is the number of years...
- Q Under which angle conditions could a triangle exist? Check all that apply.3 acute angles2 acute angles, 1 right angle1 acute angle, 1 right angle, 1 obtuse angle1 acute angle, 2...
- Q What is the author's purpose in writing this paragraph?to persuade the reader that the Grimm brothers were influentialto entertain the reader with excerpts from thenGrimms' talesto inform the reader that...
- Q Suppose you saw a sign at your local bank that said, "7.4% rate compounded semiannually - 7.9% Annual Percentage Yield (APY)." Is there anything wrong with the sign? Explain.Select the...
- Q A file that is 251 megabytes is being downloaded. If the download is 17.3% complete, how many megabytes have been downloaded? Round your answer to the nearest tenth.
- Q A population numbers 10,000 organisms initially and grows by 11.3% each year.Suppose P represents population, and t the number of years of growth. An exponential model forthe population can be...
- Q A population numbers 19,000 organisms initially and decreases by 3.2% each year.Suppose P represents population, and t the number of years of growth. An exponential model forthe population can be...
- Q Graph the exponential function.f(x) = 2*
- Q The admission fee at an amusement park is $20 for children and $35 for adults. On a certain day, 287 people entered the park, and the admission fees collected totaled...
- Q A family went to a baseball game. They parked the car in a parking lot which charged $5. The cost per ticket was $20. Write an equation for the total...
- Q 7. At a college bookstore, Carla purchased a math textbook and a novel that cost a total of $54, not including tax. If the price of the math textbook, m,...
- Q Six boxes of paper were delivered to Chandra. This is 30% of her total paper order. How many boxes of paper did she order?
- Q The school store sells binders for $5 and notebooks for $4. The store needs to sell $80 worth of these two items combined each week. Write a linear equation in...
- Q Which problem would result in this quotient?4,800 10400,800 103400,800 10408,000 + 103
- Q Brent Pickett borrowed $5000 from his brother Dave. He agreed to repay the money at the end of 3 years, giving Dave the same amount of interest that he would...
- Q Divide using synthetic division. State what the remainder means. You must use synthetic division as shown in class for full credit. SHOW ALL STEPS FOR FULL CREDIT!(3x4 - 3x +...
- Q In the diagram below, NO is parallel to KL. OL = 1.8, MN = 2.7, and MO= 2.2. Find the length of NK. Round your answer to the nearest tenth...
- Q If two sides of a triangle have lengths of 8 in and 12 in, what are the possible lengths for the third side?8<x<126<x<14none4<x<20-4<x<10
- Q A water storage tank is in the shape of a hemisphere (half a sphere). If the radius is 29 ft, approximate the volume of the tank in cubic feet.
- Q Mr. Rivas bought a can of paint. He used of it to paint a bookshelf. He used 3/8 of it to paint a bookshelf. He used 1/4 of it to...
- Q Suppose that you are thinking about buying a car and have narrowed down your choices to two options.The new-car option: The new car costs $29,000 and can be financed with...
- Q The balance on Ramon Felipe's credit card on January 14, his billing date, was $269.71. For the period ending February 14, Ramon had the following transactions to the right. a)...
- Q The sun is approximately 1.5 108 kilometers from Earth. The moon is approximately 4 x 105 kilometers from Earth. How many times farther away is the sun than the moon...
- Q During each second of braking, an automobile slows by about 10 miles per hour. a. Plot the points (0, 60) and (6, 0). What do the points represent? b. Draw...
- Q A local bus travels 7 mph slower than the express. The express bus travels 60 miles in the time that it takes the local bus to travel 50 miles. Find...
- Q Solve the exponential equation by using the property that bx = by means that x = y whenever b> 0 and b ?1.3x = 243
- Q g(x) = -x-5h(x) = 4x+2Find (g. h)(x)A) -x-6x - 8xB) -4x-22x-10C) -4x2x-12x-6D) -4x +22x-10
- Q The cost of a soccer ball to Soccer Line Sports Goods is $45. They sell the same soccer ball for $54. Determine the percent markup in the price of the...
- Q A vehicle purchased for $27,500 depreciates at a constant rate of 4%. Determine the approximate value of the vehicle 11 years after purchase. Round to the nearest whole dollar.
- Q Find the value of the expression.8 + 20
- Q On Monday, Harold picked up five donuts and six large coffees for the office staff. He paid $7.85. On Tuesday, Melinda picked up six donuts and four large coffees for...
- Q Light spheres are designed to measure, in lumens, visible light or the flux of different lights, lamps, etc. A particular institute establishes standards for how these commercial spheres are calibrated....
- Q A baseball is hit so that its height in feet after t seconds is s(t) = -2t +40t+6.(a) How high is the baseball after 1 second?(b) Find the maximum height...
- Q A man earned wages of $52,000, received $2600 in interest from a savings account, and contributed $3700 to a tax-deferred retirement plan. He was entitled to a personal exemption of...
- Q Recall the GRE example. Students' scores on the quantitative portion of the GRE follow a normal distribution with mean 150 and standard deviation 8.8. Suppose n= 16 randomly selected students...
- Q Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax+bx+c = 0.The solutions are - 6 and 2.
- Q Cabot Creamery Cooperative tried three times and was able to concoct the world's largest smoothie. It was 400 gallons. How many servings of 16 fluid ounces did this make?
- Q There are 63 students in the cafeteria. There are 9 students at each a. At how many tables are the students seated?b. Write a division equation to represent your answer.
- Q The accompanying table describes results from groups of 8 births from 8 different sets of parents. The random variable x represents the number of girls among 8 children. Complete parts...
- Q Modeling Data In Exercises 81-84, determine which of the following functionsf(x) = cx, g(x) = cx, h(x) = c?x, and r(x) = c/xcan be used to model the data and...
- Q Write a third-degree equation having the given numbers as solutions.-4, 3, 8The third-degree equation, has solutions - 4, 3, and 8.(Simplify your answer. Type an equation using x as the...
- Q Mr. Jones wants to buy 6 tickets to a play. Each ticket costs $10.Mr. Jones has $45 in his pocket.How much more money does he need to buy all 6...
- Q Nestled deep in a particular rainforest, these wooden spheres, called "Free Spirit Spheres," are hung from the trees by small networks of ropes. The exterior of a sphere has a...
- Q Two angles form a linear pair and their measures have a ratio of 2 : 5.Select the angle measures (rounded to the nearest hundredth).130.0051.42128.552.0025.715.00104.84
- Q What is the image point of (2,6) after a translation right 5 units and down 3 units?
- Q Gul can run 800 meters in 139 seconds. About how long would it take her to run 6 times as far if she runs at the same speed? Choose the...
- Q Solve the inequality algebraically.X+5/ x-5 > 0The solution is(Simplify your answer. Type your answer in interval notation. Use integers or fractions for any numbers in the expression.)
- Q In January, each of 60 people purchased a $500 washing machine. In February, 5% fewer customers purchased the same washing machine that had increased in price by 20%. What was...
- Q Ray Flagg took out a 60-month fixed installment loan of $12,000 to open a new pet store. He paid no money down and began making monthly payments of $221. R...
- Q There were 401 tickets sold for a basketball game. The activity cardholders' tickets cost $1.75 and the non-cardholders' tickets cost $2.25. The total amount of money collected was $880.75. How...
- Q In a game of dice, a player throws two regular dice and records their sum. This is repeated 50 times. Find the expected number of times when the player records...
- Q A principal of $3500 is invested at 3.75% interest, compounded annually. How much will the investment be worth after 12 years?Use the calculator provided and round your answer to the...
- Q Smith is a weld inspector at a shipyard. He knows from keeping track of good and substandard welds that for the afternoon shift 5% of all welds done will be...
- Q Maritza is baking cookies to bring to school and share with her friends on her birthday. The recipe requires 3 eggs for every 2 cups of sugar. To have enough...
- Q Here are several recipes for sparkling lemonade. For each recipe describe how many tablespoons of lemonade mix it takes per cup of sparkling water. (Lesson 2-1)Recipe 1: 4 tablespoons of...
- Q Use the laws of logarithms, the fact that the exponential and logarithmic functions are inverses ofeach other and the table on the last page to find an approximation to the...
- Q 1. Harper is going to create a graph of the equation y = -0.5x + 12. Which of the following will be true about the graph?a.The graph will contain the...
- Q To start a new business Beth deposits $1500 at the end of each six-month period in an account that pays 7%, compounded semiannually. How much will she haveat the end...
- Q On the April 2 billing date, Michaelle Chappell had a balance due of $1423.58 on her credit card. From April 2 through May 1, Michaelle charged an additional $482.18and made...
- Q A line goes through the points (8,11) and (-2,7).(a) What is the slope of the line? Show your work.(b) Write the equation of the line in point-slope form. Show your...
- Q Jeff and Sargon are saving money to go on a road trip. After looking at all the costs, they determine they need at least $2050 to go on the trip....
- Q A pro basketball player has a vertical leap of 42 in. What is his hang time? (Use V=48T2, where V is distance and T is time.)His hang time is
- Q Solve the inequality algebraically.x-3x-10x<0
- Q Evaluate the expression P(12, 3), equivalently 12 P3Your answer is:
- Q According to police sources, a car with a certain protection system will be recovered 92% of the time. If 800 stolen cars are randomly selected, what is the mean and...
- Q Solve the equation.ex = e 5x +36
- Q Find the 5th term in the expansion of (a + b)8 in simplest form. Answer:
- Q Due to random variations in the operation of an automatic coffee machine, not every cup is filled with the same amount of coffee. Assume that the mean amount ofcoffee dispensed...
- Q A professor has six different tasks to assign, one to each of her six teaching assistants. In how many different ways could she make the assignments?
- Q The endpoints of AB are A(2, 1) and B(4, 2). What are the coordinates of the endpoints of A"B" after a rotation of 450 about the origin, followed by a...
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