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Citrus2011 [14]
3 years ago
10

Find the missing exponent in each expression

Mathematics
1 answer:
Naily [24]3 years ago
8 0

Answer:

See below.

Step-by-step explanation:

Multiplying terms with exponents make the exponents add together.

13.) x² · x⁵ = x⁷

14.) b⁵ ·  b³ = b⁸

15.) y⁴ · y⁷ = y¹¹

16.) m⁴ · m¹ = m⁵

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Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallo
Lady_Fox [76]

Answer:

Pipe Q

Step-by-step explanation:

Two pipes p and Q fill a water tank. Each pipe fills the tank with water at a constant rate. Pipe P fills the tank with 20 gallons of water in 4 minutes. The equation in equals n = 6t shows the number of gallons of water n with which pipe Q fills the tank in t minutes. Which pipe fills the tank with more water each minute and by how much

Solution:

Pipe P fills the tank with 20 gallons of water in 4 minutes. If n represent the number of gallons of water that fills the tank in t minutes, then for pipe P:

n = 20 gallons / 4 minutes *t

n = 5t

Also, the number of gallons of water that fills the tank in t minutes for pipe Q is given by:

n = 6t

Since the rate at which pipe Q fills the tank (i.e. 6t) is greater than the rate at which pie P fills the tank (i.e. 5t), hence Pipe P  fills the tank with more water each minute by 6 gallons while pipe P fills by 5 gallons each minute.

4 0
3 years ago
SOLVE TWO
Kipish [7]

Answer: 52.7 Fº

and the 2nd question isn't visible in the photo

8 0
3 years ago
Divide (x^3-20x+16)/(x-4)
Lorico [155]
\frac{( x^{3}-20x+16) }{(x-4)}

Use the rational root theorem:
a_{o}=16, a_{n}=1

The dividers of a_{o}: 1,2,4,8,16 
The dividers of a_{n}: 1

Therefore, check the following rational numbers: +-\frac{1,2,4,8,16}{1}

\frac{4}{1} is a root of the expression, so factor out x-4

Compute \frac{ x^{3}-20x+16 }{x-4} to get the rest of the equation.

\frac{(x-4)( x^{2} +4x-4)}{x-4}

Cancel the common factor:
x^{2}+4x-4 is the final answer
8 0
3 years ago
Read 2 more answers
Solve the formula V=pir^2h for r <br><br> PLEAASSSEEE HELP
otez555 [7]

Answer:

B

Step-by-step explanation:

So we have the formula:

V=\pi r^2h

And we want to solve it for r.

So, let's first divide both sides by π and h. This will cancel out the right side:

r^2=\frac{V}{\pi h}

Now, take the square root of both sides:

r=\sqrt{\frac{V}{\pi h}}

And we're done!

Our answer is B.

I hope this helps!

7 0
3 years ago
Read 2 more answers
Solve for f(-3)<br><br> f(x)=5-x<br><br> f(-3)= ?<br> pls helpppp
RoseWind [281]
F(-3) = 8

Plug -3 into x and just solve it.
5 0
3 years ago
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