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rusak2 [61]
3 years ago
14

Hi i just need a simple explanation for this question!

Mathematics
2 answers:
djyliett [7]3 years ago
7 0

Answer:

x = \frac{5}{3}

Step-by-step explanation:

3^{5} = 27^{x}

These problems are getting you ready to work with exponential functions,

and ultimately with logarithms. The point here is that with variable exponents (notice the exponent is an x (on the right one) and not a number. Variable exponents can not be solved with regular algebra "rules" you need new ones.

The new ones will be Logs....

For now (until you learn logs) , you have to use some "tricks"

the "trick" in this problem is that you have to realize that 27 = 3^{3}...

with "common bases" this problem becomes trivial

3^{5} =(3^{3} ) ^{x}

so now the bases are the same and the equals sign suggests that

3x = 5

thus x = \frac{5}{3}

Goryan [66]3 years ago
6 0

Answer:

5/3

Step-by-step explanation:

3^5 = 27 ^x

Rewrite 27 and 3^3

3^5 = 3^3^x

We know that a^b^c = a^(b*c)

3^5 = 3^(3x)

The bases are the same so the exponents are the same

5 = 3x

Divide by 3

5/3 =x

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Step Two: Spread out the x's.
x*x*x/x 
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x*x
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The answer is x^2. 
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4 years ago
1. Identifique a abscissa e a ordenada dos pontos abaixo.
Arte-miy333 [17]

Answer:

A(3,-5) abscissa:3 ordenada: -5

B(-1,0) abscissa: -1 ordenada: 0  

C(-3,5;-2) abscissa: -3.5 ordenada -2

D(0,-1) abscisa: 0 ordenada:- 1

Step-by-step explanation:

What we must take into account is that the abscissa is the value of x and the ordinate is the value of y. There is always a number of the (x,y), that is, the abscissa is the first value and the ordinate is the second value, therefore:

4 0
4 years ago
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Marianne is 15 years old and her brother is 5 years old; is the relationship between their ages proportional?
cricket20 [7]

Answer:

The ratio is 15:5 or 3:1. If Marianne is 3 years old, her brother is 1. And it is proportional...

Step-by-step explanation:

4 0
3 years ago
Based on concerns raised by his preliminary research, the biologist decides to collect and examine 150 frogs.
Delicious77 [7]

Answer:

Answered and explained below

Step-by-step explanation:

A) We are told that frequency of the trait is still 1 in 8. Thus, population proportion; p = 1/8 = 0.125

Sample size; n = 150

Formula for mean is;

μ = np

μ = 150 × 0.125

μ = 18.75

Formula for standard deviation is;

σ = √(np(1 - p))

σ = √(150 × 0.125(1 - 0.125))

σ = √16.40625

σ = 4.05

B) usually, when np ≥ 10 , we make use of normal distribution.

I'm this case, it is 18.75 which is greater than 10.

Thus,we can use a normal model to approximate the distribution.

C) we are told that he found the trait in 22 of the frogs.

Thus;

Proportion is now; 22/150 = 0.1467

This is a higher probability that the initial one of 0.125 and we can say that the trait has become more common.

6 0
3 years ago
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