Given:
The mass function is:
where v is the volume in cubic centimeters.
The force function is:
To find:
The composite function can be used to find the force of the object based on its volume.
Solution:
The composite function can be used to find the force of the object based on its volume is:
![[\because m(v)=4.5v]](https://tex.z-dn.net/?f=%5B%5Cbecause%20m%28v%29%3D4.5v%5D)
![[\because F(m)=800m]](https://tex.z-dn.net/?f=%5B%5Cbecause%20F%28m%29%3D800m%5D)
Therefore, the correct option is D.
Answer:
The y-intercept represents the initial money that Jana has in his account.
Step-by-step explanation:
Given the equation of line is 
.
Also, Jana earns $
per week.
And 
is the number of weeks she has been working.
If we plug week 
in the equation . It will give us the y-intercept.
That means the amount of money in Jana's account before she began mowing lawns.
The y-intercept represents the initial money that Jana has in his account.
Answer:
EH = 3.31
Step-by-step explanation:
We have been given a right angle triangle EKL. As KH has been given as the altitude (perpendicular) of the right angled triangle, and K is the right angle, we can say that EK is tthe base of the triangle and EH is the only side lleft, which is the hypotenuse of the triangle.
Where,
EK = Base = 3
KH = perpendicular altitude
EH = Hypotenuse
m<K = 90
m<E = 25
We know that
cosθ = Base/ Hypotenuse
cos 25 = 3/ EH
EH = 3/cos25
EH = 3.31
Perpendicular alitutude can also be calculated by using the formula for tanθ.
<span>The <u>correct answer</u> is:
A) 60% ± 18%.
Explanation:
In a confidence interval, the margin of error is given by z*(</span>σ/√n<span>), where </span>σ<span> is the standard deviation and n is the sample size.
First we <u>find the value of z</u>:
We want a 95% confidence level; 95% = 95/100 = 0.95.
To find the z-score, we first subtract this from 1:
1-0.95 = 0.05.
Divide by 2:
0.05/2 = 0.025.
Subtract from 1 again:
1-0.025 = 0.975.
Using a z-table, we find this value in the middle of the table. The z-score that is associated with this value is 1.96.
Back to our formula for margin of error, we have 1.96(</span>σ<span>/</span>√n<span>). The larger n, the sample size, is, the larger its square root is. When we divide by a larger number, our answer is smaller; this gives us a smaller margin of error.
This means that if we had a small sample size, we would divide by a smaller number, making our margin of error larger. The largest margin of error we have in this question is 18%, so this is our correct answer.</span>
Answer: C. 70 percent
Step-by-step explanation:
Given, Time for the first unit = 50 minutes
Time for the second unit = 35 minutes
The unit improvement factor learning curve = (The time for the second unit) ÷ (time for the first unit) x 100.
So, The unit improvement factor learning curve = 35÷ 50 × 100 = 70 percent.
Hence, the correct option is "C. 70 percent".
