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umka21 [38]
2 years ago
13

Please help me figure out this question

Mathematics
1 answer:
LUCKY_DIMON [66]2 years ago
5 0

Answer:

scale factor = 2.5

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, polygon P to N

scale factor = \frac{20}{8} = 2.5

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Solve 4^x+2 = 12 for x using the change of base formula log base b of y equals log y over log b.
valentinak56 [21]

The value of x is 1.66

Step-by-step explanation:

Let use revise the rules of exponential and logarithmic equations

1. If y = b^{x}, then log_{b}(y)=x

2. log_{b}(y) = \frac{log(y)}{log(b)}

Use the rules above to solve the problem

∵ 4^{x}+2=12

- Subtract 2 from both sides

∴ 4^{x}=10

change the exponential equation to logarithmic equation

∴ log_{4}(10)=x

∵ log_{4}(10) = \frac{log(10)}{log(4)}

∴ x = \frac{log(10)}{log(4)}

∴ x = 1.66

The value of x is 1.66

Learn more:

You can learn more about logarithmic function in brainly.com/question/10633485

#LearnwithBrainly

6 0
4 years ago
There are 25 kids in a class, and the number of boys is 2/3 of the number of girls. How many boys and how many girls are in this
Ksju [112]
25 kids in all
2xboys:3x girls
 
so the equation would be 
2x+3x=25
solve,
5x=25
/5           /5
x=5
2x=10
3x=15


10 boys and 15 girls



3 0
3 years ago
Graph the following exponential functions and determine the y-intercept, domain, range, and
Ne4ueva [31]

The graph of the exponential function f(x) = 5(2)ˣ is as shown in the attached file.

<h3>How to draw the graph of an exponential Function?</h3>

We want to draw the graph of the exponential function;

f(x) = 5(2)ˣ

At input of x = 0, we have;

f(x) = 5(2)⁰ = 5

At input of x = 1, we have;

f(x) = 5(2)¹ = 10

At x = -1, we have;

f(x) = 5(2)⁻¹ = 2.5

At x = -2, we have;

f(x) = 5(2)⁻² = 1.25

Read more about Graph of Exponential Function at; brainly.com/question/12940982

#SPJ1

8 0
2 years ago
Which of the following demonstrates the Distributive Property? (4 points) 3(4a + 2) = 12a + 6 3(4a + 2) = 12a + 2 3(4a + 2) = 4a
Anastasy [175]
1. 12a+6=12a+6
2. 12a+6=12a+2
3. 12a+6=4a+6
4. 12a+6=7a+5
6 0
3 years ago
A 13 L solution that was 12% vinegar was mixed with a 9 L solution that was 70% vinegar. What is the concentration of the new mi
erastovalidia [21]

Answer:

The concentration is simply 36%

Step-by-step explanation:

In this question, we are concerned with calculating the concentration of a new mixture formed from mixing some liters of each of two vinegar variants of different concentrations.

We proceed as follows;

The concentration of the new solution will contain 12% of 13L vinegar A and 70% of 9L vinegar B

13L of vinegar A will contain 13 * 12% = 13 * 0.12 = 1.56

9L of 70% vinegar B will contain 9 * 70% = 9 * 0.7 = 6.3

Now, the new mixture has a total volume of 13 + 9 = 22L

The concentration of the new mixture will thus be;

(1.56 + 6.3)/22

= 0.357 and that’s approximately 0.36 or simply 36%

6 0
4 years ago
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