Basic Math Questions and Answers

Transversal CD cuts parallel lines PO and RS at points X and Y respectively. The point nearest to Cis X, and the point nearest to Dis Y. Points P and R lie on one side of CD, while Q and Slie on the other side. According to the Alternate Exterior Angles Theorem, which angle is congruent to 2 CXP? OA LRYD OB. LSYD OC ZCXQ OD. ZXYS

The time required to do a job varies inversely as the number of people working. It takes 5hr for 7 bricklayers to build a park well. How long will it take 14 bricklayers to complete the job? (round answer to 1 decimal place)

Quadrilateral DEFG has vertices at D(6, 1), E(2, 4), F(5, 4) and G(-1, 1). Round answers to the hundredths place (2 decimal places). A) Calculate the area of DEFG Area = square units B) Calculate the perimeter of DEFG Perimeter = units C) Identify the type of quadrilateral. Choose one: square, rhombus, kite, rectangle, trapezoid

1 CREATE Shade the models at the right to show how the value of 0.04 is related to the value of 0.4. Then write a division equation to represent the relationship. Equation 54 2 ANALYZE Kiran showed 0.08 with the model below. + 0 al a2 0,3 0.4 0.5 0.4 0.7 0.8 0.9 1 What is wrong with Kiran's model? Describe how the length she shaded relates to the length that she should have shaded. How can Kiran change her model to show 0.08? Kirah 3 COMPARE How does the value of the digit 8 in 1.8 compare to the value of the digit 8 in 486? Explain.

Degree 3 polynomial with integer coefficients with zeros -7i and Select one: a. f(x) = 25x³-75x²+296x - 112 b. f(x) = 25x³-5x²-264x + 112 c. f(x) = 5x³-4x² - 245x + 196 d. f(x) = 5x³ - 4x² + 245x - 196

If you flip three fair coins, what is the probability that you'll get a head on the first flip, a tail on the second flip, and another head on the third flip?

Tell whether Mrs. Hense sells a roll of coastal Bermuda horse hay for $58. She says she will make $174 if she sells 3 rolls. A A AB

If the length of an arc intercepted by a central angle of 1.25 radians is 32 inches, which proportion could be used to find the radius of the circle? 1.25/360=32/2πr 1.25/2π=2πr/32 1.25/2π=32/2πr 1.25/2π=32/πr2

Name the location and type of discontinuities in the given function. f(x) =(x-1)(x+3)/(x-2)(x+3) Hole at x=-3. Vertical asymptote at x=2. There are no holes. Vertical asymptotes at x=-3, 2. Hole at x=-3. Vertical asymptotes at x=-3, 2. Hole at x=3. Vertical asymptote at x=-2.

It is estimated that t years from now the population of a city will be P(t) = 20(45 + 5)² - 1700t. Step 2 of 2: Find the rate of change in population in 7 years. Answer How to enter your answer (opens in new window)

2. The population of a certain town is increasing at the rate of 300 people per year. The population is 2500 today. a) What is the independent variable? What is the dependent variable? b) Write an equation expressing the population (p) as a function of time (t). c) Create a table of values showing the population for the next 6 years starting at t = 0.

$5000 is invested in a savings account which pays 2% annually. How much interest is earned by the account in 3 years? What is the value of the account after 3 years?

Utilize the Difference of Squares method to find an equivalent expression for the following: 16x² - 9y² O (4x+3y)(4x-3y) O (8x+3y)(8x-3y) o (4x² - 3y²) (4x² + 3y²) ○ (8x² + 3y²) (8x² − 3y²)

Suppose that a wheel whose diameter is 25 inches rolls along a flat surface at a speed of 46.3 inches per second. Which of the following equals the rate at which the wheel is rotating? 1.852 radians per second 578.75 radians per second 1157.5 radians per second 3.704 radians per second None of these

Which of the given statements is correct? The margin of error includes uncertainty because some variables are not measured properly. Undercoverage bias can introduce uncertainty that is larger than the margin of error. The confidence interval accounts for nonresponse because the final sample size is smaller than planned. As the sample mean increases, the margin of error increases.

Watch the video that describes dividing complex numbers. Click here to watch the video. Write the quotient in the form a + bi. 5+9i 1+ i SERIE 5+9i 1 + i (Simplify your answer. Type your answer in the form a + bi. Use integers or fractions for any numbers in the expression.)

Use Table 12-2 from your text to find how much should be deposited now at 2% interest, compounded semiannually, to yield an annuity payment of $550 at the BEGINNING of each six months, for 3 years. $1,633.64 $3,187.51 $3,219.39 $4,302.63

Benigno deposited $1,000, at the END of every month for 2 years in a savings account. If the account paid 12% interest, compounded monthly, use Table 12-1 from your text to find the future value of his account. $2,120.00 $24,231.41 $26,973.46 $118,155.24

The Amboy Kennel Club has held an annual dog show for the last 42 years. During this time the winner of "Best of Show" has been an Alaskan Malamute 21 times, a Great Pyrenees 3 times, and a Siberian Husky 18 times. Determine the empirical probability that the next winner of "Best of Show" will be an Alaskan Malamute.

Pressure can be calculated as a function of volume and temperature using the equation P = 8.31T/V. Use differentials to find the approximate change in pressure P (measured in kilopascals), if the volume V increases from 12 to 12.3 liters, and the temperature T decreases from 300 to 295 Kelvin.

A woman places a laser pointer on the 1 point ground and shines it at the top of a lamp post. She then stands between the laser and the lamp post so the laser just barely touches the top of her head. The woman, the lamppost, the laser, and the ground combine to form two similar right triangles. She is standing 2.4 meters away from the lamppost and 2.1 meters from the laser. If the woman is 1.8 meters tall, how tall is the lamppost? *

Suppose that $1500 was invested in two accounts that paid 5% and 8% simple interest. After One year the total amount of interest earned was $94.50. How much was invested in each account?

Latrell works for a company that manufactures liquid dyes for clothing. He currently wants to mix up some 38%-concentrated pink dye. He has 54 liters of 26%-concentrated pink dye, as well as plenty of 46%-concentrated pink dye. How many liters of the 46%-concentrated pink dye will Latrell need to add to the 26%-concentrated pink dye to make a batch with a concentration of 38%?

Tyler goes to the store. His budget is $125. Which inequality represents x, the amount in dollars Tyler can spend at the store? A. x ≤ 125 B. x ≥ 125 C.x> 125 D. x < 125

A total of $6000 is invested: part at 7% and the remainder at 15 %. How much is invested at each rate if the annual interest is $710?

You are a stock investor. Earlier today, you made a profit of $128.40 on a stock. However, you also lost $39.10 on a stock and $69.28 on another stock. What was the total profit you made off of your stocks today? A. $16.85 B. $18.38 C. $20.02 D. $23.11 E. $26.77

A new photocopier works 4 times as fast as an old one. When the machines work together, a university can produce all its staff manuals in 20 hr. Find the time it would take each machine, working alone, to complete the job.

What steps transform the graph of = x to y = -2(x - 3)² + 5 ? reflect across the x-axis, translate 3 units to the right, translate up 5 units, stretch by the factor 2 translate 3 units to the left, translate down 5 units, stretch by the factor 2 translate 3 units to the right, translate up 5 units, stretch by the factor 2 reflect across the x-axis, translate 3 units to the left, translate down 5 units, stretch by the factor 2

Television sets. What does it mean to refer to a 20-in TV set or a 25-in TV set? Such units refer to the diagonal of the screen. A 20-in TV set also has a width of 16 inches. What is its height? Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. Using radicals, b is exactly The b, up to three decimal places, is approximately B. The b is exactly. No approximation is necessary.

The radius of a cylindrical water tank is 5.5 ft, and its height is 8 ft. What is the volume of the tank? Use the value 3.14 for π , and round your answer to the nearest whole number. Be sure to include the correct unit in your answer.

Jada is making lemonade for a get-together with her friends. She expects a total of 5 to 8 people to be there (including herself). She plans to prepare 2 cups of lemonade for each person. The lemonade recipe calls for 4 scoops of lemonade powder for each quart of water. Each quart is equivalent to 4 cups. Let n represent the number of people at the get-together, c the number of cups of water, the number of scoops of lemonade powder. Select all the mathematical statements that represent the quantities and constraints in the situation. A. 5 <n<8 B.5≤n≤8 C. c = 2n D. l = c E. 10 <c< 16 F. 10 ≤ l ≤ 16

Of 23 employees at a local supermarket, 11 work as cashiers and 12 stock shelves. If 2 employees are selected at random to work overtime, determine the probability that both are cashiers. The probability is (Type an integer or a simplified fraction.)

A rowing team rowed 100 miles while going with the current in the same amount of time as it took to row 20 miles going against the current. The rate of the current was 6 miles per hour. Find the rate of the rowing team in still water. Rate of the team in still water:

Maria, Sam, and Jose are standing in a triangle for the kick off of a soccer game. The referee wants to drop the ball so that it is the same distance to each player. Where should the referee stand so that he places the soccer ball the same distance from each player. Assume the players will take a direct path. Treat the players as sides of a triangle. The place the soccer ball is dropped is at the players incenter. Treat the players as vertices of a triangle. The ball should be dropped at the players incenter.. Treat the players as vertices of a triangle. The place the soccer ball is dropped is at the players circumcenter. Treat the players as sides of a triangleThe place the soccer ball is dropped is at the players circumcenter

The one-to-one function fis defined below. f(x)=(x-9)³ Find f-¹(x), where f-¹ is the inverse of f.

Utilize the Slide and Divide method to rewrite the following quadratic equation in factored form: 6x² +7x+2 (2x-1)(3x+2) (2x+1)(3x+2) (2x-1)(3x-2) (2x+1)(3x-2)

A windshield wiper blade is 9 inches long. To the nearest square inch, what is the area covered by the blade as it rotates through an angle of 132°? 93.26 inches2 75.4 inches² 46.63 inches² 20.72 inches²

There are 3 neighboring orchards, A, B, and C. Orchard A has 60 fewer fruit trees than Orchard B. Orchard C has 3 times as many fruit trees as Orchard B. If the three orchards have 430 fruit trees altogether, how many fruit trees does Orchard C have?

Suppose that the functions p and q are defined as follows. p(x) = -x q (x) = -2x²+1 Find the following.

The total cost C (in dollars) to participate in a ski club is given by the literal equation C = 85x + 60, where x is the number of ski trips you take. a. Solve the equation for x.

If 76 people attend a concert and tickets for adults cost $3 while tickets for children cost and total receipts for the concert was $184, how many of each went to the concert? adults children

Golf Clubs R Us had a set of 10 golf clubs that were marked on sale for $850. This was a discount of 35 % off the original selling price. Step 1 of 4: What was the original selling price? Follow the problem-solving process and round your answer to the nearest cent, if necessary.

When hunting prey at night, Japanese sea catfish use their sense of smell, their hearing, as scientists have recently discovered, and their ability to detect vibrations. these fish can additionally notice slight chemical changes in the water that indicate the presence of sea worms.

Find the slope-intercept form of the line whose slope is 2 and that passes through the point (-7,11).

Directions: For the given inequality, determine if the provided numbers are solutions. Place a check mark in the box if it is a solution, and an "x" in the box if it is not. 1. x>9 2.x≤-4 9 -5 -8 -4 0 -4 1.2 -4.2 5/2 -5/4

(a) A color printer prints 5 pages in 3 minutes. How many minutes does it take per page? (b) It takes 33 pounds of seed to completely plant a 5-acre field. How many pounds of seed are needed per acre?

What is 92% of 50? What is 16% of 25? What is 20% of 20? What is 35% of 25? What is 30% of 100? What is 40% of 25?

Determine where the function is concave upward and where it is concave downward. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) f(x) = 3x4 - 18x³+x-6 Concave upward: Concave downward:

To find the proportion of San Diegans subscribed to Disney+ in 2019, a researcher randomly selected 200 people from San Diego and found that 101 were subscribed. a) Check that the assumptions are met for a confidence interval for proportions.

A pebble is tossed into the air from the top of a cliff. The height of the pebble over time is modeled by the equation y = - 16x² + 32x + 80. What is the maximum height, in feet, reached by the pebble? How long did it take to reach the maximum height?