Basic Math Questions and Answers

A car traveling at speed v miles per hour on a dry road should be able to come to a full stop in the distance of D(V) = 0.055v² + 1.1v feet.+ Find the stopping distance required for a car traveling at 45 mph. (Round your answer to the nearest whole number.)

The formula for the perimeter of a rectangle is P = 2(1 + w) and the formula for the area of a rectangle is A = lw, where / is the length of the rectangle and w is the width. Determine the perimeter and the area of a 3 inch by 5 inch index card.

Suppose the weekly cost for the production and sale of bicycles is C(x) = 29x + 3655 dollars and that the total revenue is given by R(x)=81x dollars, where x is the number of bicycles. Write the equation of the function that models the weekly profit from the production and sale of x bicycles. What is the profit on the production and sale of 100 bicycles? Write the function that gives the average profit per bicycle. What is the average profit per bicycle if 100 are produced and sold?

Use a calculator conversion sequence to change the given angle in radians to the equal angle expressed in degrees to the nearest 0.01°. -4.487 rad -4.487 rad ≈ (Round to two decimal places as needed.)

A waitress sold 14 ribeye steak dinners and 32 grilled salmon dinners, totaling $598.67 on a particular day. Another day she sold 23 ribeye steak dinners and 16 grilled salmon dinners, totaling $581.98. How much did each type of dinner cost?

The table below describes phone calls made on the planet K-2L last year. The columns show calls dialed by men versus women, and the rows show the distribution of call lengths. (Note that this is not real data.) There were 312,480,000 phone calls made by women that lasted 30 minutes or more. How many calls made by men lasted 0 to 5 minutes?

You currently drive 300 miles per week in a car that gets 15 miles per gallon of gas. You are considering buying a new fuel-efficient car for $12,000 (after the trade-in allowance on your current car), which gets 50 miles per gallon. Insurance premiums for the new and old cars are $800 and $600 per year, respectively. You anticipate spending $1200 per year on repairs to the old car and having no repairs on the new car. Assume that gas costs $3.50 per gallon. Over a 5-year period, is it less expensive to keep your old car or buy the new car?

In camellia plants, flower color is controlled by a single gene with codominant alleles. A camellia plants with red flowers (RR) is crossed with a camellia plant with white flowers (WW). What are the expected phenotypes of the offspring of this cross? A All will have red flowers. B Half will have red flowers and half will have white flowers. C All will have pink flowers. D All will have both red and white flowers.

If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with the preimage?

A Stegosaurus skeleton at a museum has a height of 4 meters. The gift shop at the museum sells a model of the Stegosaurus. The scale used to create the model was 1 cm = 0.16m. What is the height, in centimeters, of the model of the Stegosaurus the gift shop sells?

A curve has area 0.622 to the left of 65 and area 0.378 to the right of 65. Could this curve be a density curve for some variable? Explain your answer. Choose the correct answer below. A. The curve could not be a density curve because the total area under the curve is less than 1. B. The curve could be a density curve because the total area under the curve is equal to 1. C. The curve could not be a density curve because the total area under the curve is greater than 1. D. There is insufficient information to determine if this curve could be a density curve for some variable.

Assume that θ is an angle in standard position whose terminal side contains the point (-7,-24). Find the exact values of the following functions. sin θ= (Simplify your answer. Type an integer or a fraction.) *****

You are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write and solve a linear equation to find the amount of Ryegrass lawn seed purchased.

Solve the quadratic equation by completing the square. x^2 +4x=60

A rectangular table seats 14 people: 1 person on each end and 6 on each of the longer sides. Thus, two tables placed end to end seat 26 people. (a) How many people can be seated if n tables are placed in a line end to end? (b) How many tables, set end to end, are required to seat 84 people? (a) If n tables are placed in a line, end to end, people can be seated. (Type an expression using n as the variable. Simplify your answer.) (b) If one table can seat 14 people, tables, set end to end, are required to seat 84 people. (Type a whole number.)

A car is traveling at a rate of 48 miles per hour. What is the car's rate in miles per minute? How many miles will the car travel in 10 minutes? Do not round your answers.

write the given common argument form in symbols, then use a truth table to prove that it either is or is not a valid argument.

In 4 minutes, a conveyor belt moves 100 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 5 minutes. If both belts are used, find how long it takes to move the cans to the storage area. The conveyor belts together can move the 100 pounds of recyclable aluminum from the delivery truck to the storage area in minutes. (Simplify your answer. Type an integer, fraction, or mixed number.)

If a person can complete the following tasks in the following times, how much of the task can he complete in an hour? In other words, what is his rate at completing the task? a) Mow the lawn, 5 hours, (b) wash the car, 3 hours, (c) write a paper, 1.5 hours. a) The person will have mowed of the lawn in an hour. (Simplify your answer. Type an integer or a fraction)

In 3 minutes, a conveyor belt moves 600 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt moves the same quantity of cans the same distance in 7 minutes. If both belts are used, find how long it takes to move the cans to the storage area.

Two angles are supplementary if the sum of their measures is 180°. Find two supplementary angles such that the larger angle is 148 more than 3 times the smaller angle. (Round to two decimal places if necessary.)

Use the histogram and the normal probability plot of the data to assess the normality of the finger length data. A. Both the histogram and the normal probability plot imply that the data is normal. B. The normal probability plot implies normality but the histogram implies the data is not normal. C. The histogram implies normality but the normal probability plot implies the data is not normal. D. Both the histogram and the normal probability plot imply that the data is not normal.

Simplify sec² (t) - 1 / sec² (t) to an expression involving a single trig function with no fractions. If needed, enter squared trigonometric expressions using the following notation. Example: Enter sin² (t) as (sin(t))².

Which reasoning process is shown in the following example? We examine the email addresses of 100 people. No two individuals from this group of people have identical email addresses. We conclude that for all people, no two people have identical email addresses. A) deductive reasoning B) reasoning by counterexample C) theoretical reasoning D) inductive reasoning

Match the descriptions with the compound interest formulas. A(t) gives the balance in dollars in an account after t years. A(t) = a(1+ r/4)^4t A(4) = a(1 + r/k)^4k A(t) = a(1 + 0.04/k)^kt A(t) = 4(1 + r/k)^kt A(t) = a(1 + 1.04/k )^kt This account starts with 4 dollars. This is the balance in the account after 4 years. This account earns interest at a 4% nominal rate This account earns interest 4 times a year. None of these

A piece of sheet metal, w = 24 inches wide, is bent to form the gutter shown in the illustration. If the cross-sectional area is 64 square inches, find the depth of the gutter. (Enter your answers as a comma-separated list.)

A shipping company is buying new trucks. The high-capacity trucks cost $50,000 and hold 340 cases of merchandise. The low-capacity trucks cost $30,000 and hold 200 cases of merchandise. The company has budgeted $1,140,000 for the new trucks and has a maximum of 30 people qualified to drive the trucks. Due to availability limitations, the company can purchase at most 15 high-capacity trucks. How many of each type of truck should the company purchase to maximize the number of cases shipped at one time? To maximize the number of cases of merchandise that can be shipped simultaneously, the company should purchase trucks. high-capacity trucks and low-capacity

A certain store has a fax machine available for use by its customers. The store charges $1.60 to send the first page and $0.45 for each subsequent page. Use an inequality to find the number of pages that can be faxed for $7.00. 44 pages or fewer 16 pages or fewer 4 pages or fewer 13 pages or fewer

A dairy needs 270 gallons of milk containing 4 % butterfat. How many gallons each of milk containing 6% butterfat and milk containing 1% butterfat must be used to obtain the desired 270 gallons?

Think About the Process You deposit $3,900 into a bank account with a simple interest rate of 8%. How can you find the account balance after 6 years? Then find the account balance after 6 years. How do you find your account balance after 6 years? A. First use I = prt to find the simple interest earned after 6 years. Then add that to the rate. B. First use I = prt to find the simple interest earned after 6 years. Then subtract that from the principal. C. First use I = prt to find the simple interest earned after 6 years. Then add that to the principal. D. First use I = prt to find the simple interest earned after 6 years. Then add that to the time. After 6 years your account balance will be $ Resume later Submit Quiz

On the blueprint of a house, 55 millimeters represents 10 meters. The actual length of the living room is 8 meters. What is its length on the blueprint? millimeters

Dawn, Keith, and John are all working on a history project. Dawn spent 1.2 hours less than 6 times as many hours on the project as John did. Keith spent 0.8 hours more than 5 times as many hours on the project as John did. If Dawn and Keith spent the same amount of time working on the project, how many hours did John spend working on the project?

A company decided to fine its workers for parking violations on its property. The first offense carries a fine of $19, the second offense is $23, the third offense is $27, and so on. What is the fine for the eighth offense?

The variable X denotes a binomial random variable with parameters n and p. Indicate which area under the approximate normal curve would be determined to approximate the given binomial probability. P(X= 15) The area between the lower delimiting x-value, and the upper delimiting x-value, (Use integers or decimals for any numbers in the expressions. Do not round.) would be determined to approximate the binomial probability P(X = 15).

On a park map, the distance from a picnic table to the hiking trail is 6 centimeters. The map uses a scale of 2 cm = 150 meters. What is the actual distance from the picnic table to the hiking trail?

(a) The annual inflation rate is 3.8% per year. If a movie ticket costs $12.00 today, find a formula for y, the price of a movie ticket t years from today, assuming that movie tickets keep up with inflation. (b) According to your formula, how much will a movie ticket cost in 25 years?

A variable is normally distributed with mean 18 and standard deviation 3. a. Determine the quartiles of the variable. b. Obtain and interpret the 85th percentile. c. Find the value that 65% of all possible values of the variable exceed. d. Find the two values that divide the area under the corresponding normal curve into a middle area of 0.95 and two outside areas of 0.025. Interpret the answer.

As Jupiter revolves around the sun, it travels at a rate of approximately 8 miles per second. Convert this rate to kilometers per second. At this rate, how many kilometers will Jupiter travel in 15 seconds? In your computations, assume that 1 mile is equal to 1.6 kilometers. Do not round your answers. Rate: Distance traveled in 15 seconds:

At the city museum, child admission is $6.20 and adult admission is $9.80. On Friday, twice as many adult tickets as child tickets were sold, for a total sales of $722.40. How many child tickets were sold that day?

Ms. Landry charges $40 an hour with a $5 flat fee for tutoring. Ms. Bowman charges $30 an hour with a flat fee of $10 to tutor. Which equation represents the situation when the cost is the same to be tutored by Ms. Landry and Ms. Bowman, where h is hours? A) 40h + 30h-5+10 B) 40h+30h-10-5 40h+5-30h +10 D) 40h+ 10-30h+5

Graph y = f(x) by hand by first plotting points to determine the shape of the graph. f(x) = -1

Solve the equation by hand, give an exact solution (the expression you arrived to without having to touch a calculator) "2x³-1= 3.5 Type the expression you found so Desmos computes an approximate solution: Check the solution works. 2( )³-1

At the end of a snow storm, Savannah saw there was a lot of snow on her front lawn.. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Savannah's lawn, in inches, can be modeled by the equation S = -1.5t + 15, where t is the time, in hours, after the snow stopped falling. Wha is the slope of the equation and what is its interpretation in the context of the problem? The slope of the function is which reveals

You and a group of friends participate in a game where you must use clues to escape from a room. You have a limited amount of time to escape and are allowed 3 free clues. Additional clues may be requested, but each removes 5 minutes from your remaining time. What integer represents the total change in the time when you use 5 clues?

Solve the equation by factoring. x² = 3x+10 Rewrite the equation in factored form. = 0 (Factor completely.)

Arissa finds that the cost of a local college is $13,467 for students who live in the state. Which statements are true? Check all that apply. Rounding the cost to the nearest ten results in a value that is less than the exact cost of tuition. Rounding the cost to the nearest ten results in a value that is greater than the exact cost of tuition. Rounding the cost to the nearest hundred results in a value that is less than the exact cost of tuition. Rounding the cost to the nearest hundred results in a value that is greater than the exact cost of tuition. Rounding the cost to the nearest thousand results in a value that is less than the exact cost of tuition.

Public relations specialists create and maintain a favorable public image for the organization they represent. They design media releases to shape public perception of their organization and to increase awareness of its work and goals. The median annual wage for public relations specialists was $55,680 in May 2014. SOURCE: United States. Department of Labor. "Public Relations Specialist." Occupational Outlook Handbook. 17 Dec. 2015. Web. 8 March 2016. A public relations specialist earns $63,500 salary each year. He/she wants to spend no more than three times his/her salary on a house. What is the maximum price of a home that he/she can afford? If a 5% down payment is required, what is the amount financed? If he/she buys a home for the maximum he/she can afford, what is the monthly mortgage payment for a 20 year fixed interest loan at 3.1% compounded monthly?

There are 8000 students at Mountain High School, and 3/10 of these students are seniors. If 1/4 of the seniors are in favor of the school forming a debate team and 5/7 of the remaining students (not seniors) are also in favor of forming a debate team, how many students do not favor this idea?

A cyclist rides her bike at a speed of 2 meters per second. What is this speed in kilometers per hour? How many kilometers will the cyclist travel in 4 hours? Do not round your answers. Speed: Distance traveled in 4 hours:

Below, is the sample size, P is the population proportion of successes, and X is the number of successes in the sample. Use the normal approximation and the Cumulative Normal Distribution Table to find the probability. Round the answer to at least four decimal places. n=76, p=0.41 P(X>38) =