Given:
The two functions are:
![f(x)=\sqrt{32x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B32x%7D)
![g(x)=\sqrt{2x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%7B2x%7D)
To find:
The
. Assume
.
Solution:
We have,
![f(x)=\sqrt{32x}](https://tex.z-dn.net/?f=f%28x%29%3D%5Csqrt%7B32x%7D)
![g(x)=\sqrt{2x}](https://tex.z-dn.net/?f=g%28x%29%3D%5Csqrt%7B2x%7D)
Now,
![(f\cdot g)(x)=f(x)\cdot g(x)](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3Df%28x%29%5Ccdot%20g%28x%29)
![(f\cdot g)(x)=\sqrt{32x}\cdot \sqrt{2x}](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D%5Csqrt%7B32x%7D%5Ccdot%20%5Csqrt%7B2x%7D)
![(f\cdot g)(x)=\sqrt{32x\times 2x}](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D%5Csqrt%7B32x%5Ctimes%202x%7D)
![(f\cdot g)(x)=\sqrt{64x^2}](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D%5Csqrt%7B64x%5E2%7D)
![(f\cdot g)(x)=8x](https://tex.z-dn.net/?f=%28f%5Ccdot%20g%29%28x%29%3D8x)
Therefore, the correct option is A.
Answer:
so there is a 5% change of or ordering a large cold drink
Step-by-step explanation:
first add the total of all drinks
5+48+22+8+12+5=100
the amount of large drinks that are cold are 5
so there is a 5% change of ordering a large cold drink
Answer:
m = 1/2
Step-by-step explanation:
We need to solve the equation:
3/4 = m + 1/4
In order to solve for m, we must isolate the variable - in other words, we need to move all the m terms to one side and all the non-m terms to the other.
So, subtract 1/4 from both sides to isolate m:
3/4 - 1/4 = m
m = 2/4 = 1/2
Thus, m = 1/2.
<em>~ an aesthetics lover</em>
(27 mi/hr) x (1 hr / 60 min) = (27/60) (mi/min) = 0.45 mile/minute
Using the same kind of calculation, we can see
that the world record times for other distances
correspond to:
200 meters 23.31 mph
400 meters 20.72 mph
800 meters 17.73 mph
1000 meters 16.95 mph
1500 meters 16.29 mph
1 mile (1,609 meters) 16.13 mph
2,000 meters 15.71 mph
10,000 meters 14.18 mph
30,000 meters 12.89 mph
Marathon (42,195 meters) 13.10 mph
Except for that one figure at the end, for the marathon,
which I can't explain yet and I'll need to investigate further,
it's pretty obvious that a human being, whether running for
his life or for a gold medal, can't keep up the pace indefinitely.
Answer: On each, first identify as a Future Value annuity or Present Value annuity. Then answer the question. 1) How much money must you deposit now at 6% interest compounded quarterly in order to be able to withdraw $3,000 at the end of each quarter year for two years?
Step-by-step explanation: hope this helps