Basic Math Questions and Answers

If Biff wins the lotto then he will not buy a used car. If Biff buys a used car then he did not win the lotto. If Biff does not buy a new car then he won the lotto. If Biff does not win the lotto then he will buy a used car.

A horse pulls a 350 kg cart to get it going with a force of 2000 N and accelerates for 30 seconds. Afterwards the horse and cart move at constant speed. What is the momentum while the cart is at this constant speed?

Solve the following logarithmic equation. log 5x = 2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}. (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.) B. There is no solution.

Add. Simplify by collecting like radical terms if possible, assuming that all expressions under radicals represent nonnegative numbers. √√2a +8√8a³

Solve the system by the method of your choice. x²+2y² = 441 x+y = 21

A figure drawn on a coordinate plane has vertices at (1, 2), (1, 4), (-4, 4), and (-2,2). On the coordinate plane below, plot the vertices of the figure after a rotation of 270° clockwise about th origin.

A farmer bought a number of pigs for $168. However, 4 of them died before he could sell the rest at a profit of 2 per pig. His total profit was $12. How many pigs did he originally buy? He originally bought pigs.

A few years ago, Sarah acquired a parcel of land valued at $16,500. Today, that same parcel of land has a value of $18,975. Find the percent increase in the property's value. Round your answer to the nearest hundredth, if necessary.

A paper company needs to ship paper to a large printing business. The paper will be shipped in small boxes and large boxes. The volume of each small box is 6 cubic feet and the volume of each large box is 12 cubic feet. There were twice as many small boxes shipped as large boxes shipped and the total volume of all boxes was 168 cubic feet. Write a system of equations that could be used to determine the number of small boxes shipped and the number of large boxes shipped. Define the variables that you use to write the system.

A landscaper planted 9 flats of impatiens, 11 flats of snapdragons, and 13- flats of phlox. How many flats, did she plant altogether? 14 She plant altogether flats. (Simplify your answer. Type a mixed numeral, if possible. Otherwise, type á whole number or a fraction.)

A landscaper planted 82 flats of impatiens, 12 flats of snapdragons, and 13; flats of phlox. How many flats, did she plant altogether? She plant altogether flats (Simplify your answer. Type a mixed numeral, if possible. Otherwise, type a whole number or a fraction.)

O A department store has a discount on shoes based on a percentage of the price. Suppose one pair of shoes is marked down from $60 to $48. What is the price for a $80 pair of shoes after the discount is applied?

Find the horizontal and vertical asymptotes of f(x). Then graph f(x). x+4 x+2 f(x) = If there is a horizontal asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice. CA. The horizontal asymptotę is 1. (Type an equation.) OB. There is no horizontal asymptote. 45 If there is a vertical asymptote, what is it? Select the correct choice below and fill in any answer boxes within your choice. OA. The vertical asymptote is (Type an equation.) OB. There is no vertical asymptote.

Determine which ordered pairs given are solutions of the linear inequality in two variables. 3x - 5y ≤ - 5; (-1,-2), (4,0) Is the ordered pair (-1-2,) a solution to the inequality? No Yes O Is the ordered pair (4,0) a solution to the inequality? No Yes E

A website received 9,347 visits during the !rst month of its launch. The third month witnessed three times the number of visits than the second month. If the website received 13,455 visits over the three month period, how many visits did it witness during the second month? O 22802 O 4108 O 11401 8216 O 1027

Use the equations for the total cost C and total revenue R to find the number x of units a company must sell to break even. (Round to the nearest whole unit.) C = 4.1√x + 19,000, R = 6.24x

Working alone, Abhasra can pick forty bushels of apples in 10 hours. Elisa can pick the same amount in 11 hours. How long would it take them if they worked together? 4.27 hours ○ 4.86 hours 4.82 hours ○ 4.64 hours O 5.24 hours

The Garden Center ordered 10 ounces of marigold seed and 7 ounces of carnation seed paying $257.50. On a different day, they ordered another 15 ounces of marigold seed and 14 ounces of carnation seed, paying $428.95. Find the price per ounce for each type of seed.

A physician orders 0.7 oz of magnesia and alumina oral suspension antacid 4 times per day for a patient. How many milliliters is the patient to ingest in a day? Note that 1 oz 29.57 mL.

Let f(x) = x² + 2x +1 Evaluate the function for the following, write your answers in standard form, a + A

If n = 420 and p = 0.6, construct a 99% confidence interval about the population proportion. Round your answers to three decimal places. Preliminary: a. Is it safe to assume that n < 0.05 of all subjects in the population? O No O Yes b. Verify np (1-p) ≥ 10. Round your answer to one decimal place. np (1 - p) = Confidence Interval: What is the 99% confidence interval to estimate the population proportion? Round your answer to three decimal places. <p<

Write an equation of the line perpendicular to the given line that contains P. P(8, − 4); y = x/4+5

Garrett can order stickers from two companies. Company A charges a $30 design fee plus $0.80 per sticker. Company B charges a $14 design fee plus $1.20 per sticker. How many stickers would Garrett have to order for the cost at both companies to be the same?

Given the cubic function f(x)=3x³-5x²-34x + 24: a) Show that x=4 is a zero off. Use this zero to write down a factor of f b) Use polynomial long division to find the other zeros off. Show your algebraic work.

C(f)=16-5f a.) Find m b.) What is the C-intercept? c.) Find C(3)

Find the domain of the function y = 3 tan(2x/3).

Julia has $5.00 to spend on lemons. Lemons cost $0.59 each, and there is no tax on the purchase. Which of the following inequalities can be used to represent a, the number of lemons Julia can buy?

A twelve-sided die with sides labeled 1 through 12 will be rolled once. Each number is equally likely to be rolled. What is the probability of rolling a number greater than 9? Write your answer as a fraction.

The supply and demand curves for a business dealing with wheat are Supply: p= 1.45 +0.00014x² Demand: p= (2.373 -0.007x)² where p is the price in dollars per bushel and x is the quantity in bushels per day. Use a graphing utility to graph the supply and demand equations and find the market equilibrium. (The market equilibrium is the point of intersection of the graphs for x > 0. Round your answers to two decimal places.)

A rectangular prism has a height of 3 inches and a volume of 27 cubic inches. The height of this prism is changed to 6 inches, and the other dimensions stay the same. What is the volume of the prism with this change?

For the following infinite series, find the first four terms of the sequence of partial sums. Then make a conjecture about the value of the infinite series. 3+0.8+0.08 +...

The peak shopping time at home improvement store is between 8:00am-11:00 am on Saturday mornings. Management at the home improvement store randomly selected 180 customers last Saturday morning and decided to observe their shopping habits. They recorded the number of items that each of the customers purchased as well as the total time the customers spent in the store. Identify the types of variables recorded by the home improvement store. number of items - continuous; total time - continuous number of items - continuous; total time - discrete number of items - discrete; total time - discrete number of items - discrete; total time - continuous

In sailing, it is not possible to head straight into the wind. In order to get upwind, a sailboat simply sails at an angle to the wind and then turns to sail back toward where it wants to go. Assume that a boat needs to get directly upwind 6000 m. If it sails off at a 45 degree angle to the wind and then turns back 90 degrees towards the original goal, how far would it have to sail to get directly upwind 6000 meters? Round to the nearest tenth. Distance to get directly upwind 6000 meters: meters 8485.3 010392.3 4242.6 6000

A landfill has 60,000 tons of waste in it. Each month it accumulates an average of 360 more tons of waste. What is a function rule that represents the total amount of waste after m months? Let W represent the total amount of waste and m represent months. A. W = 360m + 60,000 B.W = 60,000m + 360 C.W = 360m - 60,000 D.W = 60,000m - 360

Determine whether the conclusion follows logically from the premises. If my jeans are tight, then I will go on a diet. My jeans are tight. Therefore, I will go on a diet. Valid argument Invalid argument If I win the lottery, then we can all go on a cruise. I won the lottery. Therefore, we can all go on a cruise. Valid argument Invalid argument

A recent survey found that 70% of all adults over 50 wear sunglasses for driving. In a random sample of 10 adults over 50, what is the probability that at least six wear sunglasses? 0.700 0.006 0.850 0.200

Find the slope of the line that is (a) parallel and (b) perpendicular to the line through the pair of points. (-1,3) and (0,0) (a) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the parallel line is -3.(Type an integer or a simplified fraction.) B. The slope of the parallel line is undefined. (b) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The slope of the perpendicular line is undefined. B. The slope of the perpendicular line is .(Type an integer or a simplified fraction.)

Put the equation y = x² + 24x + 135 into the form y = (xh)² + k:

Use a graphing utility to find the x-intercepts of the graph of the function. y=x²-9x-10 Select the correct choice below and fill in any answer boxes within your choice. A. The x-intercept(s) is/are x = (Simplify your answer. Use a comma to separate answers as needed.) B. There is no x-intercept.

Your current wage is $1,500 plus 3% commission per month. During your 6-month employee review, your boss suggests to change your base rate to $1,200 but is offering you a larger commission percentage. What commission rate would he need to offer to make up for the reduced base rate? Your past 6 month sales numbers are: $10,000, $12,450, $8,756, $10,354, $10,938, and $11,452.

A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200yd², determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard. Select one: a. 19 yd b. 350 yd c. 6 yd d. 26 yd

In order to pay for college, the parents of a child invest $15,000 in a bond that pays 10% interest compounded semiannually. How much money will there be in 17 years? Round your answer to the nearest cent.

Solve for x, where x is a real number. √10x-21 = x If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".

Identify the slope and y-intercept, if they exist. 3x-y=2 Part 1 of 2 Select "Undefined" if applicable. Part 2 of 2 Write the intercept as an ordered pair. Select "None" if applicable. If there is more than one intercept, separate them with commas. y-intercept

Classify the following random variable according to whether it is discrete or continuous. the number of emails received on any given day discrete continuous

Forensic scientists use the following function to find the height of a woman if they are given the height of her femur bone, f, in centimeters. Find the height of a woman whose femur measures 59 centimeters. H(f) = 2.59f + 47.24

Given the polynomial f(x) = x² – 3x, what is the smallest positive integer a such that the Intermediate Value Theorem guarantees a zero exists between 1 and a? Enter an integer as your answer. For example, if you found a = 8, you would enter 8.

Marta was pregnant 268 days, 258 days, and 270 days for her first three pregnancies. In order for Marta's average pregnancy to equal the worldwide average of 266 days, for how long must her fourth pregnancy last? In order to equal the worldwide average of 266 days, Marta's fourth pregnancy must last for days.

Graphing the solution region of a system of linear inequalities can get messy. Brainstorm ways of graphing the solution region that aren't so messy. Be creative. Select one of the systems below and work it out step by step using your method. Document each step either in a video or in an image. Provided systems: Three inequality system written in standard form: 4x+y> 8 2x-3y < 18 y<0 y>2x-5 y<-4x+2 X>0 Four Inequal 3y > x-24 4x + y<6 y<4x-1 y<0 v<x+6 y<x+3 X>0 Y>0 1. Give an overview of your favorite method(s). Explain why you like it and how it reduces the mess. Upload a video or series of images to explain your method step by step. Systems should have a minimum of three inequalities.

A population of rabbits oscillates 35 above and below an average of 129 during the year, hitting the lowest value in January (t = 0). Find an equation for the population, P, in terms of the months since January, t. P(t)= What if the lowest value of the rabbit population occurred in April instead?