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kenny6666 [7]
3 years ago
6

The formula for the volume of a sphere is v= 4/3 3.14rWhat is the formula solved for r?

Mathematics
1 answer:
prohojiy [21]3 years ago
6 0

Answer:

r = \frac{3}{4\pi}V

Step-by-step explanation:

First, the formula for the volume of a sphere is:

V = \frac{4}{3}\pi r^3

\frac{3}{4}V = \pi r^3

\frac{3}{4}V\frac{1}{\pi} = r^3

r^3 = \frac{3}{4\pi}V

r = \sqrt[\leftroot{-2}\uproot{2}3]{\frac{3}{4\pi}V}

<u><em>If there is any steps you are unsure of, feel free to ask in the comments.</em></u>

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Which point is on the graph of f(x)=6^x
MissTica

Answer:

D

Step-by-step explanation:

Given

f(x) = 6^{x}

Substitute x- coordinate of point into f(x) and if the value obtained is equal to the y- coordinate of the point then it lies on the graph.

A

(0, 0 )

f(0) = 6^{0} = 1 ≠ 0 ← not on graph

B

(0, 6 )

f(0)  = 6^{0} = 1 ≠ 6 ← not on graph

C

(6, 1 )

f(6) = 6^{6} ≠ 1 ← not on graph

D

(1, 6 )

f(1) = 6^{1} = 6 ← lies on graph

3 0
3 years ago
Read 2 more answers
University officials say that at least 70% of the voting student population supports a fee increase. If the 95% confidence inter
yanalaym [24]

Answer:

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.

Step-by-step explanation:

The interpretation of a  x% confidence interval of proportions being between a and b is that:

We are x% sure that the true proportion of the population is between a and b.

If the 95% confidence interval estimating the proportion of students supporting the fee increase is (0.75; 0.85), what conclusion can be drawn

We are 95% sure that the true proportion of students that supports a fee increase is between 0.75 and 0.85.

3 0
4 years ago
Car Wash A theater group is having a carwash fundraiser. The liquid soap costs $34 and is enough to wash 40 cars. Each car is ch
mash [69]

a. If c is the total number of cars washed and p is the profit

The profit depends on the total number of cars washed.

So profit P is the dependent variable and C is the independent variable

(b) yes, the relationship between c and p a function

Because for each input for c, there will be an unique output for P

(c) C is the number of cars

Each car charged is $5

So C cars charged is 5C

The liquid soap costs $34 and is enough to wash 40 cars. So we subtract 34

Hence Profit P = 5c - 34

The equation is P = 5c - 34

(d) The liquid soap costs $34 and is enough to wash 40 cars

So number of cars is 0 to 40

0<=c <=40

soap costs $34

so profit is above 34

When cars = 40 then profit is 5(40) - 34= 166

So profit lies between 34  and 166

34<= P<= 166


5 0
3 years ago
Rewrite the function by completing the square. f(x)=x^2-9x+14​
salantis [7]

Answer:

f(x)=(x-9/2)²-25/4

Step-by-step explanation:

f(x)=x²-9x+14

f(x)=x²-9x+(-9/2)²-(-9/2)²+14

f(x)=(x-9/2)²-81/4+14

f(x)=(x-9/2)²+(-81+56)/4

f(x)=(x-9/2)²-25/4

7 0
3 years ago
What mass is 500 g less than 4.32 kg?​
Goshia [24]

Answer:

i do not know

Step-by-step explanation:

7 0
3 years ago
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