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3 years ago

5

Erin built a rectangular-prism-shaped trough for her horses to eat from. The trough is 3 m long, 1 m wide, and 1 m high. Hay for

the trough cost $14 per cubic meter. How much will it cost to complete fill the trough with hay

1 answer:

lisov135 [29]3 years ago

4 0

Answer: $42

Step-by-step explanation:

3 * 1 * 1 = 3 cubic meter

3 * 14 = $42

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PLEASE HELP MEEEE HURRRY!!! :)

sammy [17]

Answer:

Option D

Step-by-step explanation:

We are given the following equations -

$\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}$

It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -

$\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}$ First, I swapped the first and third rows.

$\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}$ Leading coefficient of row 2 canceled.

$\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}$ The start value of row 3 was canceled.

$\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}$ Matrix rows 2 and 3 were swapped.

$\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}$ Leading coefficient in row 3 was canceled.

$\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}$

And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -

$\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}$

The positioning of the zeros indicated that there was no solution!

<u><em>Hope that helps!</em></u>

6 0

4 years ago

Whats the factorization of <br> x2+3x−18

Alexeev081 [22]

Answer:

(X+6)x(X-3)

Step-by-step explanation:

X^2+6X-3X-18

Xx(X+6)-3(X+6)

(X+6)x(X-3)

big X is the variable

small x is multiplication sign

4 0

3 years ago

Five time the difference of a number and seven is twenty-five.”

Tom [10]

5(x-7) = 25
x-7 = 25/5=5
x = 5+7=12

6 0

3 years ago

Without exponents<br> logc (xy^6z^-4) what is the equivalent expression

Sever21 [200]

By eliminating exponents, the <em>logarithmic</em> expression $\log_{c} x\cdot y^{6}\cdot z^{-4}$ is equivalent to the <em>logarithmic</em> expression $\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$ .

<h3>How to simplify logarithmic functions</h3>

In this problem we are supposed to eliminate all exponents of a <em>logarithmic</em> function by applying any of the following properties:

㏒ x · y = ㏒ x + ㏒ y
㏒ x/y = ㏒ x - ㏒ y
㏒ yˣ = x · ㏒ y

Now, we proceed to simplify the function:

$\log_{c} x\cdot y^{6}\cdot z^{-4}$

$\log_{c} x + \log_{c} y^{6} + \log_{c} z^{-4}$

$\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$

By eliminating exponents, the <em>logarithmic</em> expression $\log_{c} x\cdot y^{6}\cdot z^{-4}$ is equivalent to the <em>logarithmic</em> expression $\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$ .

To learn more on logarithms: brainly.com/question/24211708

#SPJ1

5 0

2 years ago

to make 2 batches of nut bars, Jayda needs to use 4 eggs. how many eggs are used in each batch of nut bars?

maxonik [38]

2 eggs are needed because if you need 4 to make 2 batches, you have to divide 4 by 2.

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3 years ago

Read 2 more answers