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2 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 27 ft.

Mathematics

1 answer:

rosijanka [135]2 years ago

7 0

Answer:

Step-by-step explanation:

for the cylinder

27π = πr²h = πr²(2r) = 2πr³

for the sphere

V = (4/3)πr² = (2/3)(2πr³) = (2/3)27π

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What is the vertex of the absolute value function defined by ƒ(x) = |x + 2| + 4?

Marrrta [24]

Answer:

C. (-2,4)

Step-by-step explanation:

We have been given a function $f(x)=|x+2|+4$ and we are asked to find the vertex of our absolute value function.

The rules for the translation of a function are as follows:

$f|x-h|=\text{Graph shifted to right by h units}$

$f|x+h|=\text{ Graph shifted to left by h units}$

$f|x|+h=\text{ Graph shifted upward by h units}$

$f|x|-h=\text{ Graph shifted down by h units}$

Upon comparing our absolute function with above transformations we can see that our function is shifted to two units right of the origin(0,0) so x coordinate of our absolute function will be -2.

Our function is shifted upward from origin by 4 units, therefore, y-coordinate of our absolute value function will be 4.

$f(x)=|x--2|+4$

Therefore, the vertex of our absolute value function will be on point (-2,4) and option C is the correct choice.

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2 years ago

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Which of these examples is an error of addition by one?

N76 [4]

Answer:

The correct answer is:

A. 27,465 +52,534 = 79,899

Step-by-step explanation:

Given are the options for addition

We have to check each addition one by one

So,

A. 27,465 +52,534 = 79,899

This option is the example of error of addition by one. The answer should have been 79,999. Hence there is an error in addition ..

Hence, option a: 27,465 +52,534 = 79,899 is the correct answer ..

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2 years ago

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How to write 1000= in Exponential form

Nadusha1986 [10]

Answer:

10x^{3}[/tex]

Step-by-step explanation:

$10x^{3}$

=10·10·10

=1000

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Write the following statements in equation form: If the sum of a number and its two fifth is 70

iren [92.7K]

Answer:

$x + \frac{2}{5} \times x = 70 \\ x + \frac{2}{5} x = 70$

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7/13 of the population of a town is female.of the males 2/3 are married,What fraction population consists of unmarried men?

Mariana [72]

Answer:

Step-by-step explanation:

$\frac{7}{13}$ -Female

$\frac{2}{3}$ - Men Married.

$\frac{7}{13} divided by \frac{2}{3} = \frac{7}{13} x\frac{3}{2} = \frac{21}{6} = 3\frac{2}{6} = 3\frac{1}{3}$

Hope this helps :)

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2 years ago