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3 years ago

Radical and exponents

Mathematics

1 answer:

pentagon [3]3 years ago

8 0

Answer:

yes

Step-by-step explanation:

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How many sides does a dodecahedron have?

777dan777 [17]

Answer:

twelve faces

Step-by-step explanation:

12 sides

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3 years ago

What quadrant does sin(theta)>0 and cot(theta)<0 lie in

ira [324]

The first quadrant ..........

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3 years ago

The volume of a spherical balloon is increasing at the rate of 25cm^3/min, how fast is the radius increasing when the radius is

S_A_V [24]

Answer:

So the radius is increasing at $\frac{1}{64\pi} \frac{\text{cm}}{\text{min}}$ .

This is approximately 0.00497 cm/min that the radius is increasing.

Step-by-step explanation:

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

The volume and radius are both things that are changing with respect to time.

So their derivatives will definitely not be 0.

Let's differentiate:

$V'=\frac{4}{3} \pi \cdot 3r^2r'$

I had to use constant multiple rule and chain rule.

We are given $V'=+25 \frac{\text{cm^3}}{\text{min}}$ and $r=20 \text{cm}$ .

We want to find $r'$ .

Let's plug in first:

$25=\frac{4}{3}\pi \cdot 3(20)^2r'$

$25=\frac{4}{3} \pi \cdot 3(400)r'$

$25=\frac{4}{3} \pi \cdot 1200r'$

Multiply both sides by 3:

$75=4 \pi \cdot 1200r'$

$75=4800 \pi r'$

Divide both sides by $4800 \pi$ :

$\frac{75}{4800 \pi}=r'$

$\frac{1}{64 \pi}=r'$

So the radius is increasing at $\frac{1}{64\pi} \frac{\text{cm}}{\text{min}}$ .

This is approximately 0.00497 cm/min that the radius is increasing.

5 0

3 years ago

Read 2 more answers

PLS HELP... 10 POINTS ASAP

GenaCL600 [577]

Answer:

b, 24

Step-by-step explanation:

1:3

6:18

6+18=24

I GOTCHU HOMIE

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3 years ago

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At a party there are 30 students over the age of 21 and 15 under the age of 21. You select a representative sample of 5to interv

Feliz [49]

Answer:

Stratified sampling

Step-by-step explanation:

Given

$30 \to 21\ and\ above$

$15 \to Under\ 21$

Required

The type of sampling method

From the question, we understand that, the sample are divided into two categories. This means that each person in each person do not have the same probability of being selected.

<em>Such method is a stratified sampling</em>

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3 years ago