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faust18 [17]
3 years ago
6

The number forty one to the power of negative start fraction two over five end fraction end power can be written in the form sta

rt fraction one over root of order cap a of forty one to the power of cap b end power end fraction. What is the value of B?
Mathematics
1 answer:
Fantom [35]3 years ago
3 0
From the description we can infer that we have the expression: 41^{- \frac{2}{5} }.
Now, to write our expression as a as a root, we are going to apply the law of exponents: x^{-n}= \frac{1}{x^n} first
41^{- \frac{2}{5} }= \frac{1}{41^{ \frac{2}{5} }}

Next, we are going to apply the law about fractional exponents: x^{ \frac{m}{n}}= \sqrt[n]{x^m}
\frac{1}{41^{ \frac{2}{5} }}= \frac{1}{ \sqrt[5]{41^2} }

We can conclude that the value of B is 2.

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Can somebody help me please?
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Answer:

$22.50

Step-by-step explanation:

C= 0.20X+14.50

C=0.20(40)+14.50

C=8+14.50

C=22.50

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SYNTHETIC DIVISION: (2x^4-7x^3+14x^2-55x+21) divided by (2x-7)
Orlov [11]

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Step-by-step explanation:

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What's the midpoint between (1,-7) and (-1,-23)
Alik [6]
Answer: (0,-15)

--------------------------------------------------

Explanation:

Add up the x coordinates to get 1+(-1) = 0. Divide this sum in half to get 0/2 = 0. Therefore the x coordinate of the midpoint is 0.

Repeat for the y coordinates. First add the y coordinates to get -7+(-23) = -30. Then divide that result in half to get -30/2 = -15. So the y coordinate of the midpoint is -15.

Overall, the midpoint is (0,-15).

8 0
3 years ago
Which transformation will map figure Honto figure H? (1 point)
podryga [215]

Answer:

2) Vertical translation of 10 units

Step-by-step explanation:

Given

H and H'

Required

Which maps H to H'

First, we pick the coordinate of any point on H

H(x,y) = (4,2)

First, we pick a corresponding coordinate on H'

H'(x,y) = (4,-8)

The above coordinates show that H and H' are not a reflection of one another because neither of the x or y coordinates negate one another.

By looking at the coordinates of H and H, we have:

H: x = 2 and H':x = 2 ---  The same x coordinates

H: y = 2 and H': y = -8 --- Different y coordinates

The difference between the y coordinates is:

Difference  = H(x) - H'(x)

Difference  = H(2) - H'(2)

Difference  = 2 - (-8)

Difference  = 2 +8

Difference  = 10

Hence,

<em>2) Vertical translation of 10 units </em> is correct.

3 0
3 years ago
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