Need major help my dudes

A high school Philanthropy Club is collecting plastic waste which will be used to create benches for a local park. The volume of

Zolol [24]

Answer:

The expression 7x represents the height of the container.

Step-by-step explanation:

From the question:

We are being informed that; if the length of the container is half of a foot longer than its width.

Let the width be x;

Then the length of the container can now be ; x+1/2

We all known that the volume of a rectangular prism is : V= l×w×h

here;

l = length

w = width

h = height

If we rewrite the given expression :

$\mathbf{7x^3+3.5x^2}$ ;

Then we factor we make a similar coefficient of the above equation, the remaining entities left in the parenthesis should be a linear term with a leading coefficient of 1 to match the expression for the length of the container.

i.e

$\mathbf{7x^3+3.5x^2}} \\ \\\mathbf{7x^2(x+1/2)} \\ \\\mathbf{7*x*x*(x+1/2)}$

Hence, if the length of the container is half a foot longer than its width, x, then the expression 7x represents the height of the container.

6 0

4 years ago

Help for 13-15 pls and explain for 15

Pani-rosa [81]

13. 1
14. 1
15. any number and 0 will have a quotient of 0.
for example 7/0=0 . 8/0=0 . 9/0=0
if you try and check your work using multiplication 7*0=0 . 8*0=0 . 9*0=0
then you will realize the rule is right

4 0

4 years ago

Suppose we want to choose 5 colors, without replacement, from 8 distinct colors.1. If the order is relevant, how many can be don

Charra [1.4K]

(1) From the information given, if we want to choose 5 colors from 8 distinct colors and the order in which the selection is made is relevant, then what we have is a permutation.

The formula is given as;

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

This formula means we need to select/arrange r items out of a total of n items and the anwer derived would be the total number of arrangements possible.

Therefore, we would have;

$\begin{gathered} nP_r\Rightarrow_8P_5 \\ _8P_5=\frac{8!}{(8-5)!}\Rightarrow\frac{8!}{3!} \\ _8P_5=\frac{8\times7\times6\times\ldots1}{3\times2\times1}\Rightarrow\frac{40320}{6} \\ _8P_5=6720 \end{gathered}$

Therefore, if the order is relevant, this selection can be done in 6,720 ways.

(2) If the order is NOT relevant, then what we need to calculate is a combination and the formula is;

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

The formula can now be applied as follows;

$\begin{gathered} _nC_r\Rightarrow_8C_5 \\ _8C_5=\frac{8!}{(8-5)!\times5!} \\ _8C_5=\frac{8!}{3!\times5!}\Rightarrow\frac{8\times7\times6\times\ldots1}{(3\times2\times1)\times(5\times4\times\ldots1)} \\ _8C_5=\frac{40320}{6\times120} \\ _8C_5=56 \end{gathered}$

If the order is not relevant, then the selection can be done in 56 ways.

3 0

1 year ago

A, B, and C are collinear. True or False?

Dafna1 [17]

Answer:

It is false. Just look at the face of the shape.

Step-by-step explanation:

4 0

3 years ago

A healthy human heart beats about 1,533,000 times a year. A sparrow's heart beats about 241,776,000 times in a year. About how m

Galina-37 [17]