What is the length of this rectangular prism?Is it 5 or 3 or 6 or 2

Help me answer <br> Expand 3p(p+5)

pantera1 [17]

Answer:

3p² + 15p

Step-by-step explanation:

We use distributive property to distribute 3p to each of the terms:

3p · p = 3p²

3p · 5 = 15p

3p² + 15p

3 0

3 years ago

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Baker sammy helppppp

svetoff [14.1K]

Answer:

$a = 8.5t$

$y = 32.55$

Step-by-step explanation:

Solving (9): The equation of the table

We start by calculating the slope (m)

$m = \frac{a_2 - a_1}{t_2 - t_1}$

Where:

$(t_1,a_1) = (15,127.5)$

$(t_2,a_2) = (16.5,140.25)$

$m = \frac{140.25 - 127.5}{16.5 - 15}$

$m = \frac{12.75}{1.5}$

$m = 8.5$

The equation is then calculated using:

$a = m(t - t_2) + a_2$

So, we have:

$a = 8.5(t - 16.5) + 140.25$

Open bracket

$a = 8.5t - 140.25 + 140.25$

$a = 8.5t$

Solving (10):

$4.8y = 156.24$

Required

Find x

Divide both sides by 4.8

$y = 32.55$

7 0

2 years ago

. Mrs. Huang operates a soybean farm. She buys many supplies in bulk. Often the bulk products need to be custom mixed before Mrs

dimulka [17.4K]

Answer:

18 L

Step-by-step explanation:

Given : she must mix a solution of 67% herbicide with a solution of 46% herbicide to form 42 liters of a 55% solution.

To Find: How much of the 67% solution must she use?

Let x = amount of 67% solution needed

Then 42-x=amount of 46% solution needed

Now we know that the pure herbicide in the 67% solution

So, pure herbicide = (0.67x)

The amount of pure herbicide in the 46% solution (0.46(42-x))

Now 42 liters of a 55% solution = (0.46(42-x))

So,

Amount of 67% solution + Amount of 46% solution = 42 liters of a 55% solution

⇒0.67x+0.46(42-x)=0.55*42

⇒0.67x+19.32-0.46x=23.1

⇒0.21x=3.78

⇒ $x=\frac{3.78}{0.21}$

⇒x = 18 liters

Hence she use 18 liters of the 67% solution

5 0

3 years ago

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Need help with stats!

KIM [24]

Answer:

A. a) 24

A. b) 4

B. a) 40320

B. b) 576

Step-by-step explanation:

General formula for Permutations:

$P(n,r) = \frac{n!}{(n - r)!}$

A. Concert seats: 2 couple --- total of 4 persons.

a) without restrictions

Since there are no restrictions, but that the order is important (John, Mary, Paul, Michelle isn't the same as Michelle, Mary, Paul, John), it's a permutation calculation.

Then we calculate the permutations of 4, out of 4, so...

$P(4,4) = \frac{4!}{(4 - 4)!} = 4! = 24$

24 different ways for them to sit.

b) couples together

Now, we can see the problem as having 2 levels of permutations, first the couples, then inside the couples.

There are 2 ways for the first level or order... couples AB or BA, so 2 possibilities.

Inside each couple, man then woman (MW) or woman then man (WM), so 2 possibilities there too on 2nd level.

Overall 2 * 2 = 4 ways to sit by couple.

B) Single file

a) without restrictions

Again, order is important, so another permutation, not a combination. And since we have no restriction, it can be any sequence.

We then have to calculate the number of permutations of 8 out of 8...

$P(8,8) = \frac{8!}{(8 - 8)!} = 8! = 40320$

There are 40,320 ways these 8 kids can pass the door.

b) girls first.

So, the four girls have to enter first.... and these four girls can be in any order.. how many permutations? P(4,4)... so 24 as calculated above.

For the four boys, how many permutations? Yes, again P(4,4)... so 24 again.

Overall, we need to multiply the two... 24 x 24 = 576 ways if the girls enter first, followed by the boys.

8 0

3 years ago

The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distributio

san4es73 [151]

Answer:

74.72

Step-by-step explanation:

Given

mean $\left ( \mu \right )=70$