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dmitriy555 [2]
3 years ago
5

What is (99/100)^101 times (100/99)^100?

Mathematics
1 answer:
sineoko [7]3 years ago
7 0

Answer:

99/100

Step-by-step explanation:

First of all recall that

a^n\cdot b^n =(ab)^n

Now we we will try to apply that formula for a=99/100 and b=100/99.

First rewrite (99/100)^{101}=(99/100)\times (99/100)^{100}

Now

(99/100)\times (99/100)^{100}\times (100/99)^{100}\\=(99/100)\times ((99/100)\times (100/99))^{100}\\=(99/100)\times 1^{100}\\=(99/100)\times 1\\=99/100

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3 years ago
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Learning Task 1: Illustrate the following fractions on your notebook.
Marizza181 [45]

Answer:

The illustration is found in the attachment below.

<em>Note: The correct order of the question is found below:</em>

<em>Learning Task 1: Illustrate the following fractions on your notebook.</em>

<em>a.)2/3 b.)7/9 c.)10/12 d.)8/12 e.)4/5 f.) 8/6 g.)9/4 h.) 28/10</em>

Step-by-step explanation:

a) Draw a rectangle of sides 3 cm by 1 cm. Divide the rectangle into three equal parts. Shade two out of the three parts to give the fraction 2/3

b)  Draw a rectangle of sides 9 cm by 1 cm. Divide the rectangle into nine equal parts. Shade seven out of the nine parts to give the fraction 7/9

c)  Draw a rectangle of sides 12 cm by 1 cm. Divide the rectangle into twelve equal parts. Shade ten out of the twelve parts to give the fraction 10/12

d)  Draw a rectangle of sides 12 cm by 1 cm. Divide the rectangle into twelve equal parts. Shade eight out of the twelve parts to give the fraction 8/12

e)  Draw a rectangle of sides 5 cm by 1 cm. Divide the rectangle into five equal parts. Shade four out of the five parts to give the fraction 4/5

f)  Draw two rectangle of sides 6 cm by 1 cm. Divide the rectangles into six equal parts each. Shade all the six parts of the first rectangle completely. Then, shade two out of the six parts of the second rectangle to give the fraction 8/6

g) Draw three rectangles of side 4 cm by 1 cm. Divide each of the three rectangles into four parts each. Shade completely the four parts of the first and second rectangle. Then, shade one part out of the four parts of the third rectangle to give the fraction 9/4

h) Draw three rectangles of side 10 cm by 1 cm. Divide each of the three rectangles into ten parts each. Shade completely the ten parts of the first and second rectangle. Then, shade eight parts out of the ten parts of the third rectangle to give the fraction 28/10

6 0
3 years ago
I’ll mark you Brainly-ist if you’re correct.
drek231 [11]

Answer:

log5 19 - log5 x

Step-by-step explanation:

log5 19/x

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log5 19 - log5 x

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frozen [14]
Let m = slope

Use the point-slope formula.

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Let x1 = 2

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Solve for y.

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zvonat [6]
Answer: 3 * y^(1/2)

Work:
Since the exponential form of any number is simply the number shown as broken down into its smallest pieces, you need to make each term exponential. Its helpful to break the 9 and the y apart when solving this and bring them back at the end. The expression then becomes (square root of 9) * (square root of y).

The square root of 9 can be simplified to 3. 

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When you combine the terms back together, you are left with 3 * y^(1/2).
3 0
3 years ago
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