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3 years ago

Simplify (7 1/5)5 Please show work

Mathematics

2 answers:

Westkost [7]3 years ago

5 0

7 ^ 1/5 ^ 5

power to a power is multiplied

7 ^ (1/5 *5)

7^1

Choice A

Lena [83]3 years ago

4 0

Answer:

Step-by-step explanation:

$(7^\frac{1}{5})^5$

Apply exponential property to simplify the exponent

$(a^m)^n = a^{mn}$

Multiply the outside exponents

In the given expression the outside exponent are 1/5 and 5

$\frac{1}{5} \cdot 5= 1$

$(7^\frac{1}{5})^5$

$7^1=7$

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I want to install carpet in my living room, which is 200 inches long and 50 ft wide. The carpet is sold for 5000 naira per yard2

inn [45]

Answer:

462962.96 naira

Step-by-step explanation:

This problem is complicated by the use of two different units. I chose to use inches for the dimensions of the carpet.

200 in long

50 ft wide = 50 x 12 = 600 in.

Area = 200 x 600 = 120000 in^2

A square yard is a square 36 in. x 36 in. = 1296 in^2

Divide 120000 by 1296 to find out how many square yards of carpet you'll need.

120000 / 1296 = 92.59

Multiply by 5000 naira/yd^2 = 462962.96

7 0

2 years ago

<img src="https://tex.z-dn.net/?f=1%20%2B%20%20log_%7B2%7D%28x%20-%202%29%20%20%3D%20%20%20log_%7B2%7Dx" id="TexFormula1" title=

fenix001 [56]

Move all the logarithms on the left hand side, and all the constants on the other:

$\log_2(x-2) - \log_2(x) = -1$

Use the rule of logarithms

$\log_a(b) - \log_a(c) = \log_a\left(\dfrac{b}{c}\right)$

To rewrite the equation as

$\log_2\left(\dfrac{x-2}{x}\right) = -1$

Evaluate 2 to the power of each side:

$\dfrac{x-2}{x} = 2^{-1} = \dfrac{1}{2}$

Multiply both sides by 2x:

$2(x-2) = x \iff 2x-4 = x \iff x = 4$

6 0

3 years ago

Read 2 more answers

Plsss helppppp I’ll mark u brainlist no links pls

Basile [38]

Step-by-step explanation:

you flip it from the line, match the letters (Z woube be C, X would be A, etc.) and then writw the new coordinates

3 0

3 years ago

C is between B and D <br> BC = 8x +13<br> CD= 12x -73<br> BD =320 <br> find the value of x

pentagon [3]

Answer:

...

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago