Answer:
Alex = No B.
Step-by-step explanation:
1) Use Quotient Rule: ![\frac{x^{a} }{x^{b} } =x^{a-b}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5E%7Ba%7D%20%7D%7Bx%5E%7Bb%7D%20%7D%20%3Dx%5E%7Ba-b%7D)
![n^{1-3}](https://tex.z-dn.net/?f=n%5E%7B1-3%7D)
2) Simplify 1 - 3 = 2
![n^{-2}](https://tex.z-dn.net/?f=n%5E%7B-2%7D)
3) Use Negative Power Rule: ![x^{-a} =\frac{1}{x^{a} }](https://tex.z-dn.net/?f=x%5E%7B-a%7D%20%3D%5Cfrac%7B1%7D%7Bx%5E%7Ba%7D%20%7D)
![\frac{1}{n^{2} }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bn%5E%7B2%7D%20%7D)
Answer:
292.50 dollars
Step-by-step explanation:
P = 650 is the the principal.
r = 0.09 is the interest rate in decimal form.
t = 5 is the number of years.
i = 650*0.09*5
i = 292.50 is the simple interest.
The line that is perpendicular to the line on the graph is y=3
Answer:
H = 20.5 hours
I = 19.5 Hours
Step-by-step explanation:
Start by creating a system.
I = time which the inlet pipe takes alone to fill the pond
H = time which the hose takes alone to fill the pond
10/I + 10/H = 10
H - I = 1
H = 20.5 hours
I = 19.5 Hours
Answer:
![y=2\sqrt{10}](https://tex.z-dn.net/?f=y%3D2%5Csqrt%7B10%7D)
Step-by-step explanation:
By applying geometric mean theorem in the given right angle,
![\frac{AD}{DB}=\frac{DB}{CD}](https://tex.z-dn.net/?f=%5Cfrac%7BAD%7D%7BDB%7D%3D%5Cfrac%7BDB%7D%7BCD%7D)
By substituting values in the given ratio,
![\frac{5}{y}= \frac{y}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7By%7D%3D%20%5Cfrac%7By%7D%7B8%7D)
![y^2=8\times 5](https://tex.z-dn.net/?f=y%5E2%3D8%5Ctimes%205)
![y^2=40](https://tex.z-dn.net/?f=y%5E2%3D40)
![y=2\sqrt{10}](https://tex.z-dn.net/?f=y%3D2%5Csqrt%7B10%7D)
Exact value of y is
.