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CaHeK987 [17]
3 years ago
12

Which applies the power of a power rule properly to simplify the expression (710)5?

Mathematics
1 answer:
natulia [17]3 years ago
8 0

Answer:

I45

Step-by-step explanation:

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Suppose f varies directly as g, and f varies inversely as h. Find g when f = 10 and h = –12, if g = 56 when h = –2 and f = –7. R
kow [346]

Answer:

-480

Step-by-step explanation:

If f varies directly as g, and inversely as h, then we can write the variation equation:

f=\frac{kg}{h}, where k is the constant of variation.

If g=56 when h=-2 and f=-7, then we substitute these values into the formula to find the value of k.

-7=\frac{k(56)}{-2}

-7\times -2=56k

k=\frac{14}{56}=\frac{1}{4}

The equation now becomes:

f=\frac{g}{4h}

if f=10 and h=-12, then;

10=\frac{g}{-48}

g=-48\times 10=-480

The correct answer is B.

4 0
3 years ago
Solve the system by using a matrix equation.<br> --4x - 5y = -5<br> -6x - 8y = -2
evablogger [386]

Answer:

Solution : (15, - 11)

Step-by-step explanation:

We want to solve this problem using a matrix, so it would be wise to apply Gaussian elimination. Doing so we can start by writing out the matrix of the coefficients, and the solutions ( - 5 and - 2 ) --- ( 1 )

\begin{bmatrix}-4&-5&|&-5\\ -6&-8&|&-2\end{bmatrix}

Now let's begin by canceling the leading coefficient in each row, reaching row echelon form, as we desire --- ( 2 )

Row Echelon Form :

\begin{pmatrix}1\:&\:\cdots \:&\:b\:\\ 0\:&\ddots \:&\:\vdots \\ 0\:&\:0\:&\:1\end{pmatrix}

Step # 1 : Swap the first and second matrix rows,

\begin{pmatrix}-6&-8&-2\\ -4&-5&-5\end{pmatrix}

Step # 2 : Cancel leading coefficient in row 2 through R_2\:\leftarrow \:R_2-\frac{2}{3}\cdot \:R_1,

\begin{pmatrix}-6&-8&-2\\ 0&\frac{1}{3}&-\frac{11}{3}\end{pmatrix}

Now we can continue canceling the leading coefficient in each row, and finally reach the following matrix.

\begin{bmatrix}1&0&|&15\\ 0&1&|&-11\end{bmatrix}

As you can see our solution is x = 15, y = - 11 or (15, - 11).

4 0
3 years ago
A piggy bank contains 3 pennies, 4 nickels, 4 dimes and 9 quarters. Two coins
xeze [42]

Answer:

1325/10000

Explain Step By Step Answer

5 0
2 years ago
How to write 8% sales tax as a decimal?
sergejj [24]

Answer:

0.08

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Maria said the 4 in 400,000 has a value of 400 is maria correct explain
AlladinOne [14]
No Maria is wrong because if you look at placement value you would see 4 is in the one hundred thousands place.
5 0
3 years ago
Read 2 more answers
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