Download the App!
Get 24/7 study help with the Numerade app for iOS and Android! Enter your email for an invite.
Question
Answered step-by-step
Using Models Use the model given to answer the questions about the object or process being modeled.
The power $P$ measured in horsepower (hp) needed to drive acertain ship at a speed of $s$ knots is modeled by$$P=0.06 s^{3}$$(a) Find the power needed to drive the ship at 12 knots.(b) At what speed will a 7.5 -hp engine drive the ship?
Video Answer
Solved by verified expert
This problem has been solved!
Try Numerade free for 7 days
Like
Report
Official textbook answer
Video by Taylor Shimono
Numerade Educator
This textbook answer is only visible when subscribed! Please subscribe to view the answer
Algebra
Chapter 0
Prerequisites
Section 1
Modeling the Real World with Algebra
Equations and Inequalities
McMaster University
Baylor University
University of Michigan - Ann Arbor
Idaho State University
Lectures
02:02
Use the model given to ans…
01:18
Power Needed to Propel a B…
02:55
02:48
01:22
01:14
The horsepower $P$ needed …
02:10
solve the given applied pr…
this problem gives us model power equals 0.6 times feed. Cute. So we're going to be using that for both parts of this problem. Part a tells us that if our speed is to be 12 knots, what power are we in need of in order to maintain this speed? So essentially we have r s, and we know that what we're solving for is rp variable. So we're going to plug that into the model that's given to us. So, Pete, to the variable. And then we have P equals 0.6 times s, which is 12 camp. Then we're just going to solve this equation to find what P is. And that will be her answer for part A. So the first step is going to be our exponents. So we get power equals you're a 0.6 times 12 cubed is 1,728 and then we will play this out. We yet a power of 103 0.68 horsepower. It is necessary to move the ship at speed of 12 knots. And there's our answer for apart, eh? So moving on to part B. We're going to dio a very similar approach. But this time we're plugging in our 7.5 horse powers for Pete. And we're leaving s as are variable that we're solving for. So this time the equation becomes 7.5 somewhere substituting for our pee right there equals 0.6 as cubed. So from right now, we're going to isolate our answer variable. So our first step is going to be to divide both sides by I 0.6 So we're left with s cubed equals 21 125. And then finally, to get rid of this explosion on the S, we're going to take the cube root of both sides of the equation and we get our speed is I have not. So there's our solution to party
View More Answers From This Book
Find Another Textbook
00:45
Unknown to a medical researcher, 7 out of 17 patients have a heart problem t…
A researcher wishes to estimate, with 95% confidence, the population proport…
01:20
Identify the explanatory variable and the response variable.Atea…
04:01
A deck of cards contains RED cards numbered 1,2,3 and BLUE cards numbere…
08:44
Minnesota had the highest turnout rate of any state for the 2012 presidentia…
03:42
investors commonly use the standard deviation of the monthly percentage retu…
00:55
a sample of 9 days over the past six months showed that a dentist treated th…
03:51
A bag contains 14 identical balls, 4 of which are red, 5 black and 5 whi…
05:11
The grades of a sample of 5 students, selected from a large population, are …
02:05
Calculate the relative frequency P(E).You have read 150 of the 500 novel…