Write each formula using the language of variation. For example, the formula for the circumference of a
Question:
Write each formula using the “language” of variation. For example, the formula for the circumference of a circle, C = 2πr, can be written as
“The circumference of a circle varies directly as the length of its radius.”
S = 4πr2, where S is the surface area of a sphere with radius r
Step by Step Answer:
The surface area of a sphere varies directly as the square of its ...View the full answer
Intermediate Algebra
ISBN: 9780134895987
13th Edition
Authors: Margaret Lial, John Hornsby, Terry McGinnis
Related Video
The area of a circle is given by the formula: A = ?r^2 Where A is the area, ? is a mathematical constant (approximately 3.14), and r is the radius of the circle. The radius is the distance from the center of the circle to the edge. So for example, if the radius of a circle is 5 units, the area would be: A = ?(5^2) = ?(25) = 78.5 square units Here three friends went out to a restaurant and decided to have pizza for lunch. While they were waiting for their order, one of them stepped out to take a call but promised to return in two minutes. The waiter came and presented them with the menu, and they decided to order two 10-inch pepperoni pizzas. The waiter took their order and left. Just then, the third friend returned and asked what they had ordered. They explained that they had ordered two small pepperoni pizzas as they were only three of them and it would be enough for them. However, the third friend suggested that for the same price, they could get a large pizza that would be much bigger than the two small ones. He asked the waiter for a pen and paper and proceeded to calculate the area of the two small pizzas and compared it to the area of one large pizza. The friends were amazed at how the circle measurements worked and decided to change their order from two small pizzas to one large pizza.
Students also viewed these Mathematics questions
-
What is the constant of variation in each of the variation equations in Exercises 1924? Data from in Exercises 1924 Write each formula using the language of variation. For example, the formula for...
-
Write each formula using the language of variation. For example, the formula for the circumference of a circle, C = 2r, can be written as The circumference of a circle varies directly as the length...
-
Write each formula using the language of variation. For example, the formula for the circumference of a circle, C = 2r, can be written as The circumference of a circle varies directly as the length...
-
ABC Insurance Company has issued a commercial package policy to the Henderson Company. ABC recently discovered that company executives misrepresented important information about the business to...
-
Describe two major factors that a portfolio manager should consider before designing an investment strategy. What types of decisions can a manager make to achieve these goals?
-
Researchers have studied the ecology of ponds in rural Bangladesh. Of particular interest in such studies are the zooplankton, phytoplankton, and copepod counts (per liter of water) in these ponds....
-
Cite various Solution Space tools that enable a homeowner to leverage their time, resources, and skills to maintain their lawn.
-
The Arcadia Manufacturing Company, based in Arcadia, Florida, is one of the fastest-growing companies in its industry. According to Ms. Prinze, the company's production vice president, keeping...
-
Global Trade Ltd (Global Trade), a key player in the international shipping industry, maintains a worldwide presence. The company is registered in Australia, with its headquarters situated in Sydney....
-
Biologists collected a sample of 600 fish from West Okoboji Lake on May 1 and tagged each of them. When they returned on June 1, a new sample of 800 fish was collected and 10 of these had been...
-
Write each formula using the language of variation. For example, the formula for the circumference of a circle, C = 2r, can be written as The circumference of a circle varies directly as the length...
-
The information in Table is available for a large fund raising project. a. Determine the critical path and the expected completion time of the project. b. Plot the total project cost, starting from...
-
Assume you work for an accounting firm and you are part of a team that does work for two clients that are competitors. Describe some ways in which ethical considerations might be an important part of...
-
In several accounting situations it seems like there is more than one acceptable way to account for a transaction. Is this a significant issue? Are there situations where it can lead to ethical...
-
A loan of $\$ 50,000$ is due 10 years from today. The borrower wants to make annual payments at the end of each year into a sinking fund that will earn interest at an annual rate of 10 percent. What...
-
A senior VP has proposed that "we pay too much tax, so we should issue new debt and use the proceeds to buy back common stock." What would be the logic behind this statement?
-
Would the combination of a high current ratio and a low inventory turnover ratio suggest a firm is maintaining too high an inventory level? Why or why not?
-
Look at todays Wall Street Journal. What is the leading economic news story? With which of the big economic questions does it deal and what tradeoffs does it discuss or imply?
-
Place a tick in the appropriate grid to identify the balance that would be brought down in each of the following named accounts, in the books of Rizwy Mohamed: (a) In the Cash account: if Rizwy...
-
Is there a significant difference (p < .05) between the incidence of testicular cancer in men treated surgically for undescended testis at age 1315 vs. the general population? It was reported that...
-
What is the lifetime risk (from age 15 to age 70) of testicular cancer for men with age at surgery = 15, assuming that the incidence rate remains constant over time? Assume that all men do not die of...
-
What is the probability that a 40-year-old woman will develop colon cancer over the next 5 years? Cancer Data from the Surveillance Epidemiology and End Results (SEER) registry provides incidence...
-
Mike Campbell and his best friend, John Wright, were driving north on I-95 returning from spring break in Florida, when they were stopped by members of a drug task force made up of Volousia County...
-
Here is some hypothetical testimony from prosecution of an assault of a victim in a grocery store parking lot: The prosecutor calls Bart (an eyewitness and the "primary" or "fact" witness in this...
-
1. You have been dispatched to 123 Anywhere St. for a neighbour dispute.The complainant is the homeowner, Amanda. As you arrive, Matteo, the basement tenant, is waiting for you outside.Matteo tells...
Study smarter with the SolutionInn App