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elixir [45]
3 years ago
11

Rewrite the expression (9^2)^5 in the form 9^n.

Mathematics
1 answer:
Setler79 [48]3 years ago
3 0

Answer: 9^10

In other words, n = 10

=====================================

You use the rule (a^b)^c = a^(b*c) which says to multiply the exponents whenever we raise some exponential to some other exponent.

In this case, a = 9, b = 2, c = 5

(a^b)^c = a^(b*c)

(9^2)^5 = 9^(2*5)

(9^2)^5 = 9^10

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Which equation represents the data shown in the table provided in the image?
VladimirAG [237]

The correct answer is A. y = 2x +1

Explanation:

An equation is a statement that shows equality. In this context, the equation should lead to two equal numbers even if the values of y and x change. In this context, the correct equation is y= 2X + 1 because this is the only one, in which, the value of Y is always equivalent to 2x + 1. To prove this, let's replace y and x for the values of the table.

First  column

5 = 2 · 2 + 1

5 = 4 + 1

5 = 5

Second Column

9 = 2 · 4 + 1

9 = 8 + 1

9 = 9

Third column

13 = 6 · 2 + 1

13 = 12 + 1

13 =  13

Fourth column

17 = 8 · 2 + 1

17 = 16 + 1

17 = 17

4 0
3 years ago
The perimeter of a rectangular lot of land is 436 ft. this includes an easement of x feet of uniform width inside the lot on whi
telo118 [61]
Given the Perimeter of the Lot is 436 ft, and an inner building whose base measures 122ft by 60ft. The key in the problem is that the easement is uniform.

Let X be the measure of easement. See attached

You will derive the equation where if you add X on the length of the inner rectangle length and width, you have below equation

P = 2L + 2W
P = 2*(122+2X) + 2*(60+2x)
436 = 244+4x + 120+4x

Rearranging the equation by shifting all constant on one side.
8x = 436-244-120
8x = 72
x=9 ft

Answer is 9ft easement for with respect to the base of the inner building.

4 0
3 years ago
One batch of cookies requires the following ingredients: 2 13 cups of flour 34 of a cup of chocolate chips 25 of a cup of choppe
Mumz [18]

Answer:

B,AD

Step-by-step explanation:

BECAUSE I SAY IT

8 0
2 years ago
Hello I need some help on a math question
jekas [21]
Whats the math question?

7 0
3 years ago
‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️‼️Please someone find the kindness in their heart to help me!
vredina [299]
PART A

Volume = Area of a triangle base x height (..or length)
Volume = 2,400cm^3
Volume = 1/2(16)(h)(20)
2,400cm^3=1/2(16)(h)(20)
2/400cm^3/160 = 160(h)/160
Part A= 15cm^3=height of the box

PART B

Surface Area = 1/2(15*16)(2)+20(17)(2)+16(20)
Surface Area = 240+680+320
Surface Area = 1,240
Part B = You will need approximately 1,240cm of cardboard.
8 0
3 years ago
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