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Musya8 [376]
3 years ago
13

1. as.at2. (a/b)2 (a/b)83. (3)-54. (x/y)"5. (2m4n3)5​

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0
1- I didn't understand it

2).. (a/b)² (a/b)⁸

= (a/b)²+⁸ = (a/b)¹⁰

3) 3-⁵ = 1/3⁵ = 1/243

4) (x/y)"

d/dx (x/y) = (1/y)
d/dx (1/y) = 0

5) (2m⁴n³)⁵

= 2⁵ × (m⁴)⁵ × (n³)⁵

= 32 × m²⁰ × n¹⁵

= 32m²⁰n¹⁵
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Answer: 23.94 cm

Step-by-step explanation: I am totally not sure if this is the answer, but think of it this way: Those are 2 semi circles. The formula for the area of a semi circle is A = π * r^2 / 2. For the semi circle with 6 cm, the radius is 3. So we can plug it in the formula. 3.14 * 3^2 / 2, which is 14.13. For the semi circle with 5 cm, the radius is 2.5. Again plug it in and it will be 3.14 * 2.5^2 / 2, which is 9.8125. Then, to get the total area, add the 2 final values together. 9.8125 + 14.13, which is 23.9425. Then it said "round to the nearest hundredth if necessary. We can round to the nearest hundredth, which is 23.94, so that would be the answer. That is just my thought process.

I am not really sure if it's the answer, but take a gander at my thought process and hopefully, you can agree with me.

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9^x=1/3<br><br> How much is x?
kumpel [21]

Answer:

x = -1/2

Step-by-step explanation:

This question can be solved by applying the laws of indices

In a^n, a - base

n - index

Given

9^x = 1/3

According to the laws of indices, a/b = b^(-a)

Hence we can write, 1/3 = 3^(-1)

9^x = 3^(2x)

Again according to the laws of indices,

a^b = a^n can be written as;

b = n

That is, if in an equation the bases are the same, the indices are also equal.

So we can write,

3^(2x) = 3^(-1)

2x = -1

Divide both sides of the equation by 2, the coefficient of x

2x/2 = -1/2

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