1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lapo4ka [179]
3 years ago
7

11. The total number of months m that it takes to produce p tennis rackets

Mathematics
1 answer:
Viktor [21]3 years ago
4 0

Your question is missing formula for m which is given as;

formula for   m= \frac{p^3}{90}

Answer:

a.the inverse of the function is p=\sqrt[3]{90m}.

b.p=12 (thousands)

Step-by-step explanation:

Given Data:

Formula for  m= \frac{p^3}{90}  , where m is the total number of months it takes to produce p tennis rackets (in thousands).

Required:

a. Find the inverse of the function.

b. How many tennis rackets will be produced in 20 months? Round your answer to the nearest  whole tennis racket.

Solution:

a.Inverse of the function:

m= \frac{p^3}{90}\\\\multiply\ both\ sides\ by\ 90\ we\ get\\p^3=m*90\\\\p^3=90m\\\\taking\ cube\ root\ we\ get\\\\p=\sqrt[3]{90m}

the inverse of the function is p=\sqrt[3]{90m}........Eq1

b. How many tennis rackets will be produced in 20 months?

put m=20 in Eq1, we get

p=\sqrt[3]{90*20}\\\\p=\sqrt[3]{1800}\\\\p=12.16

If we round the answer to nearest whole tennis racket we get p=12 (thousands)

thus, in 20 moths 12 (thousands) tennis rackets will be produced

You might be interested in
This table shows the population of caribou in an area over a period of years . a. What is the growth factor? b. Write an equatio
elena55 [62]

Answer:

I Think its B

Step-by-step explanation:

Edge 2021

3 0
3 years ago
I will mark brainliest please help ​
kirill115 [55]

Answer:

15 cups

Step-by-step explanation:

The formula to find cups from quarts C = Q * 4, where c is how many cups, and Q how many quarts. To find how many cups are in a quart, simply multiply the number of quarts by 5. In this case, there are 3 3/4 quarts of coffee, multiply that by 5, and you would get 15 cups of coffee!

5 0
2 years ago
-n+(-4)-(-4n)+6<br><br><br> solve
tigry1 [53]

Answer:

3n + 2

Step-by-step explanation:

-n+(-4)-(-4n)+6

= -n -4 +4n +6        [positive plus negative =  negative; ∴  +(-4) = -4

=4n - n +6 - 4                      negative plus negative = positive; ∴ -(-4n) = 4]

now subtract n from 4n and subtract 4 from 6

=3n + 2

                                                                                                       

                             

8 0
2 years ago
Read 2 more answers
Find, correct to four decimal places, the length of the curve of intersection of the cylinder 16x2 + y2 = 16 and the plane x + y
Yuri [45]

Let the curve C be the intersection of the cylinder  



16x^2+y^2=16



and the plane



x+y+z=1



The projection of C on to the x-y plane is the ellipse



16x^2+y^2=16



To see clearly that this is an ellipse, le us divide through by 16, to get



\frac{x^2}{1}+ \frac{y^2}{16}=1



or  



\frac{x^2}{1^2}+ \frac{y^2}{4^2}=1,



We can write the following parametric equations,



x=cos(t), y=4sin(t)



for  



0\le t \le 2\pi



Since C lies on the plane,



x+y+z=1



it must satisfy its equation.



Let us make z the subject first,  



z=1-x-y



This implies that,



z=1-sin(t)-4cos(t)



We can now write the vector equation of C, to obtain,



r(t)=(cos(t),4sin(t),1-cos(t)-4sin(t))



The length of the curve of the intersection of the cylinder and the plane is now given by,



\int\limits^{2\pi}_0 {|r'(t)|} \, dt



But  



r'(t)=(-sin(t),4cos(t),sin(t)-4cos(t))



|r'(t)|=\sqrt{(-sin(t))^2+(4cos(t))^2+(sin(t)-4cos(t))}



\int\limits^{2\pi}_0 {\sqrt{2sin^2(t)+32cos(t)-8sin(t)cos(t)} }\, dt=24.08778184



Therefore the length of the curve of the intersection  intersection of the cylinder and the plane is 24.0878 units correct to four decimal places.

6 0
3 years ago
The solutions to the equation 2x +X-1 = 2 are X = or <br>x=<br>The solutions to the equation 2​
expeople1 [14]
The value of X equals to 1
4 0
3 years ago
Read 2 more answers
Other questions:
  • A basket of goods costs $85 in year 1. If the same basket costs $90 in year 2, what is the CPI for year 2?
    13·2 answers
  • Point H is the incenter of triangle ABC. Find angle HAC.
    14·2 answers
  • If: 5x + 14 = −7 ,Then: 5x + 14 − 14 = −7 − 14 This is an example of using...
    12·1 answer
  • Given the point (-3, 6) and a line y=2x-8, write an equation of a line through the point and parallel to the line.
    10·1 answer
  • while playing mini golf, you hit the ball off of a wall to attempt at making it in the hole. the ball is located at (5,4) and th
    13·1 answer
  • Evaluate cos^2 (n/12)
    5·1 answer
  • The value of w is:<br> show work for brainlist
    7·1 answer
  • Anya's team won 5 out of every 7 games this season
    11·1 answer
  • Determine if the given relation is also a function.
    5·2 answers
  • POSSIBLE P
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!