Question: A rock is thrown from the top of a building. The distance, in feet, between the rock and the ground t seconds after the rock is thrown is given by d = -16t^2 + 16t + 45. How long after the rock is thrown does it hit the ground?
A rancher has 100 meters of fencing to enclose two adjacent rectangular corrals. The rancher wants the enclosed area to be 350 meters. What dimensions should the rancher use to obtain this area. Note: I was given 4x + 3y=100 as a formula below the picture of the two adjacent rectangles. (Please see the attachment.)
A manufacturer buys $20,000 worth of machinery that depreciates linearly so that its trade-in value after 10 years will be $1,000. a) Express the value of the machinery as a function of its age and draw the graph. b) Compute the value of the machinery after 4 years. c) When does the machinery become worthless?
From 1997 through 2004, the value of US exports to Mexico was as shown below. Data are in billions of dollars. Year: 1997 1998 1999 2000 Exports: $71.4 $78.8 $86.9 $111.3 Year: 2001 2002 2003 2004 Exports: $101.3 $97.5 $97.4 $110.8 a. Fit a linear trend e
1. The top of a tower is a sphere with a diameter of 40ft. A layer of paint 0.08 inches thick is applied to the sphere. Approximate the volume of the paint that is used. 2. The radius of a sphere is measured with a percentage error within + or -0.04%. Estimate the percentage error in the calculated volume of the sphere.
Katie converts the outside temperature from degrees Fahrenheit to degrees celsius. She uses the formula below to convert the temperature. (F-32)5/9=C If the outside temperature is 50 degrees fahrenheit, what is the outside temperature in degree celsius?
Part 1: Describe a simple process for using rates and unit prices that might help someone who is having difficulty understanding these concepts. Include an example to explain the solution process.
Each of the three dimensions of a cube with sides of length s centimeters is decreased by a whole number of centimeters. The new volume in cubic centimeters is given by: V(s) =s^3 - 13s^2+ 54s -72. a) Find V(10). b) If the new width is s - 6 centimeters, then what are the new length and height? c) Find the volume when
Hello, I am having trouble with these 6 questions, can someone please help. The problems are attached. 1-In the formula A = Iekt , A is the amount of radioactive material remaining from an initial amount I at a given time t and k is a negative constant determined by the nature of the material. An artifact is discovered at a
Chapter 1) 165. High-income bracket. The expression 97,653 + 0.35( x- 336,550) represents the amount for the 2006 federal income tax in dollars for a single taxpayer with x dollars of taxable income, where x is over $336,550. a) Simplify the expression. b) Use the graph in the accompanying figure to estimate the amount of tax
Axia College Material Appendix C Starting a Business Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels, designing products and packaging, and monitoring labor. A bakery can be a highly profitable and rewarding business. Durin
After running various advertisements, you have received the statistics from each advertising outlet. A total of 800 ads were run. The following lists the breakdown of each: 380 ads were run over the radio. 240 adds were run in the newspaper. 300 adds appeared on the Internet. 185 ran both on radio and on the Internet.
Customers of a phone company can choose between two service plans for long distance calls. The first plan has a $21 one-time activation fee and charges 10 cents a minute. The second plan has no activation fee and charges 14 cents a minute. After how many minutes of long distance calls will the costs of the two plans be equal?
Please see the attached file for the fully formatted problems. 1) Multiply and simplify by factoring. Assume that all expressions under radicals represent nonnegative numbers. 2) Simplify by removing factors of 1. 3) Simplify. 7) Solve. 8) Divide and simplify. 9) Use the quadratic formula to solve the equ
2) Solve. Use a comma to separate answers as needed. Type N if there is no solution. 4) Rewrite with a rational exponent. 5) If the sides of a square are lengthened by 8cm, the area becomes 256 cm . Find the length of a side of the original square. 6) Express using a positive exponent. 7) Subtract the polynomia
The owner of a daycare center plans to have a rectangular sandbox built in the outdoor play area. The width (in feet) of the sandbox is given by the polynomial 2x-5. If the length of the sandbox is designed to be 10 feet longer than the width, write a polynomial that represents the area of the sandbox.
Please see the attached file for fully formated Problems #44--Reduce each rational expression to lowest terms. Assume that the variables represent only numbers for which the denominators are nonzero. #64--Reduce each expression to lowest terms. Assume that all variables represent nonzero real numbers and use only positive
Has to be one of these A 7b^2+2b+9 B 7b^2-2b+9+2/6b+3 C 7b+9 D 7b^2-2b-9-2/6b+3.
Complete each ordered pair so that it satisfies the given equation. 7. y _ 3x _ 9: (0, ), ( , 24), (2, ) 17. y = -2x+5 X Y -2 0 2 -3 -7 Graph each equation. Plot at least five points for each equation. Use graph paper. 70. x- 2y - 6 71. x - 3y - 6 Find the slope of each side 7. 9.
Show by mathematical induction that 1 + 3 + 3^2 + 3^3 + ... + 3^n = ((3^n+1) - 1) / 2 for all positive integers n.
Please complete the following question: Use the quadratic formula to solve the equation. x^2 - x = -5. Make sure to show all necessary steps.
Give an example of an exponential function. Convert this exponential function to a logarithmic function. Plot the graph of both the functions
Carol takes eight steps every five seconds. With each step she travels 17 inches. At this rate, how long will it take her to travel 1 mile? Give your answer in terms of minutes and seconds, rounding to the nearest second. She has two hours to spend walking. If she does not get tired and travels at the same rate as above, how
Write equations for the vertical and the horizontal lines passing through the point 3,-4 in x,y -coordinates
The Sugar Sweet Company is going to transport its sugar to market. It will cost 6500. to rent trucks, and it will cost an additional 250. for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S ,
In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 70 . The first car has consumed 30 gallons during that week, and the second has consumed gallons,35 for a total of 2250 miles driven by the two cars combined. What was the average gas mileage obtained by each
Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes). When graphed, the function gives a line with a slope of 0.09 The monthly cost for 53 minutes of calls is 16.56 . What is the monthly cost for 45 minutes of calls?
A child in an airport is able to cover 376 meters in 4 minutes running at a steady speed down a moving sidewalk in the direction of the sidewalk's motion. Running at the same speed in the direction opposite to the sidewalk's movement, the child is able to cover 310 meters in 5 minutes. What is the child's running speed on a stil
In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 60. The first car has consumed 15 gallons during that week, and the second has consumed 35 gallons, for a total of 1400 miles driven by the two cars combined. What was the average gas mileage obtained by each
In a family there are two cars. The sum of the average miles per gallon obtained by the two cars in a particular week is 50 . The first car has consumed 30 gallons during that week, and the second has consumed 25 gallons, for a total of 1350 miles driven by the two cars combined. What was the average gas mileage obtained by ea