A can of juice has a radius of 3 inches and a height of 6 inches. What is the volume of the can?

harina [27]

Solve:-

13 over 100 = 13/100

To turn a fraction to a decimal, divide numerator by denominator:-

13 ÷ 100 = 0.13

13/100 as a decimal is 0.13.

8 0

3 years ago

Read 2 more answers

Complete parts a through c for the given function.

victus00 [196]

Answer:

a. The critcal points are at

$x=0,-5,3$

b. Then, $x = -5$ is a maximum and $x=3$ is a minimum

c. The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

Step-by-step explanation:

(a)

Remember that you need to find the points where

$f'(x)=0$

Therefore you have to solve this equation.

$20x^4 + 40x^3 - 300x^2 = 0$

From that equation you can factor out $20x^2$ and you would get

$20x^2 ( x^2 +2x - 15) = 0$

And from that you would have $20x^2 = 0$ , so $x = 0$ .

And you would also have $x^2 +2x-15 = 0$ .

You can factor that equation as $x^2 +2x -15 = (x+5)(x-3) = 0$

Therefore $x=-5 , x=3$ .

So the critcal points are at

$x=0,-5,3$

b.

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

$f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\$

Then, $x = -5$ is a maximum and $x=3$ is a minimum

c.

The absolute minimum is at $x = 3$ and the absolute maximum is at $x = -5.$

6 0

2 years ago

Read 2 more answers

The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label

astraxan [27]

Answer:

The sales tax is 8%

Explanation:

We are given that:

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

This is done as follows:

% of sales tax = $\frac{tax}{price}*100$

% of sales tax = $\frac{1.92}{24}*100 = 8$ %

Hope this helps :)

4 0

3 years ago

What’s the pattern of -1, -8, -27, and -64

AURORKA [14]

Hello from MrBillDoesMath!

Answer:

a(n) = (-n)^3 where n = 1,2,3,...

Discussion:

The pattern 1,8,27, 64... is immediately recognizable as the the cube of the positive integers. But this question has a minus sign appearing before each entry, suggesting we try this:

- 1 = (-1)^3

-8 = (-2)^3

-27 = (-3)^3

-64 = (-4)^3

That's what the problem statement asked for . The answer is equivalently

-1 * (n^3)

Thank you,

MrB

6 0

3 years ago

I need helpp plsss:)

kakasveta [241]

Answer:

*read explanation for both questions*

Step-by-step explanation:

So the first one asks ”the first number in a pattern is 6, the pattern follows the rule ’multiply by 4’ “

The question has the answer to it, so each number would be multiplied by 4. So we have the first one which is 6, next we multiply 6 x 4 = 24. Then we multiply 24 x 4 = 96. and finally you multiply 96 x 4 = 384.

That’s the pattern fo the first one

The second one asks “The shapes have been sorted into two groups. explain what attribute was used to sort the shapes.”

When we’re looking for attributes, look for what they have in common. For me, I see that Group 1 has the smaller versions of the same shapes in Group 2. So that could be the attribute the question is asking for.

3 0

3 years ago