3. The area A of a unilateral triangle whose sides have length a is given by: A = Va 4 (a) Is A a power function? If so, what is the coefficient k and the power p of the function? If not, explain why. (b) What side length a (in cm) would give an area A of 12 cm² of such a triangle? Round your answer to at least two decimal places.

3. The area A of a unilateral triangle whose sides have length a is given by: A = Va 4 (a) Is A a power function? If so, what is the coefficient k and the power p of the function? If not, explain why. (b) What side length a (in cm) would give an area A of 12 cm² of such a triangle? Round your answer to at least two decimal places.

Name: The area A of a unilateral triangle whose sides have length a is give
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: The area A of a unilateral triangle whose sides have length a is given by:V3A =4(a) Is A a power function? If so, what is the coefficient k and the power p of thefunction? If not, explain why.(b) What side length a (in cm) would give an area A of 12

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.2: Domain And Range

Problem 60SE: The height h of a projectile is a function of the time t it is in die air. The height in feet for t...

See similar textbooks

Similar questions

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.
A forest fire leaves behind an area of grass burned in an expanding circular pattern. If the radius of the circle of burning grass is increasing with time according to the formula r(t)=2t+1 , express the area burned as a function of time, t (minutes).
Near the surface of the moon, the distance that an object falls is a function of time. It is given by d(t)=2.6667t2 , where t is in seconds and d(t) is in feet. If an object is dropped from a certain height, find the average velocity of die object from t=1tot=2 .
Use your schools library, the Internet, or some other reference source to find real-life applications of approximations of functions.
The height h of a projectile is a function of the time t it is in die air. The height in feet for t seconds is given by the function h(t)=-16t2+96t . What is the domain of die function? What does the domain mean in the context of die problem?
When a certain drug is taken orally, the concentration of the drug in the patient's bloodstream After t minutes is given by C(t)=0.06t0.0002t2 where 0t240 and concentration is measured in mg/L .When is the maximum serum concentration reached, and what is that maximum concentration?
The number of bacteria in a refrigerated food product is given by N(T)=23T256T+1,3T33 ,where T is the temperature of the food. When the food is removed from the refrigerator, the temperature is given by T(t)=5t+1.5 , where t is the time in hours. a. Find the composite function N(T(t)) . b. Find the time (round to two decimal places) when the bacteria count reaches 6,752.
Growth in Length of Haddock D.S. Raitt found that the length L of haddock in centimeters as a function of the age t in years is given approximately by the formula L=5342.820.82t a. Calculate L(4) and explain what it means. b. Compare the average yearly rate of growth in length from age 5 to age 10 years with the average yearly rate of growth from age 15 to age 20 years. Explain in practical terms what this tells you about the way haddock grow. c. What is the longest haddock you would expect to find anywhere?
The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is given by A(t)=a(e)rt, where a is the amount ofprincipal initially deposited into an account thatcompounds continuously. Prove that the percentageof interest earned to principal at any time t can becalculated with the formula I(t)=ert1.
Air Temperature As dry air moves upward, it expand and, in so doing, cools at a rate of about 1°C for each 100-meter rise, up to about 12 km. (a) If the ground temperature is 20°C, write a formula for the temperature at height h. (b) What range of temperatures can be expected if an air plane lakes off and reaches a maximum height of 5 km?