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marin [14]
4 years ago
7

5(2^(2x+7)) How do you solve this equation??

Mathematics
1 answer:
Liono4ka [1.6K]4 years ago
3 0
Simplifying
0x + 7 + 5x = 2x + 30 + 40

Anything times zero is zero.
0x + 7 + 5x = 2x + 30 + 40

Combine like terms: 0 + 7 = 7
7 + 5x = 2x + 30 + 40

Reorder the terms:
7 + 5x = 30 + 40 + 2x

Combine like terms: 30 + 40 = 70
7 + 5x = 70 + 2x

Solving
7 + 5x = 70 + 2x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
7 + 5x + -2x = 70 + 2x + -2x

Combine like terms: 5x + -2x = 3x
7 + 3x = 70 + 2x + -2x

Combine like terms: 2x + -2x = 0
7 + 3x = 70 + 0
7 + 3x = 70

Add '-7' to each side of the equation.
7 + -7 + 3x = 70 + -7

Combine like terms: 7 + -7 = 0
0 + 3x = 70 + -7
3x = 70 + -7

Combine like terms: 70 + -7 = 63
3x = 63

Divide each side by '3'.
x = 21

Simplifying
x = 21
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choli [55]

Ok, so;

Let me draw the figure here below:

We know that the area of a circle can be found using the next equation:

Area = πr².

Where r is the radius and π is a number.

So, the area of this circle, will be:

Area = π(1km)²

Area = π km²

7 0
1 year ago
The sum of three consecutive odd integers is 207. What are the​ integers?
nikdorinn [45]
Hey!

It says that it is the sum of 3 consecutive odd integers right?

So then we give these numbers some variables to work with like so...

x = 1st number
x + 2 = 2nd number
x + 4 = 3rd number

now set all of them equal to 207

x + x + 2 + x + 4 = 207
3x + 6 = 207
3x = 201
<u>x = 67</u><u />                     <u>x + 2 = 69</u><u />              <u /><u />   <u>x + 4 = 71
</u>
<u>
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4 0
3 years ago
A survey of a group of seventh graders and a group of teachers at a local middle school asked how many siblings they each have.
erastovalidia [21]

Answer:

the same number of teachers as students were surveyed...im not exactly sure

Step-by-step explanation:

4 0
3 years ago
A survey of several 9 to 11 year olds recorded the following amounts spent on a trip to the mall: $10.31,$17.22,$26.62,$22.84 Co
dimaraw [331]

Answer:

Step-by-step explanation:

From the information given,

Mean, μ = (10.31 + 17.22 + 26.62 + 22.84)/4 = 19.2475

Standard deviation, σ = √summation(x - mean)/n

Summation(x - mean) = (10.31 - 19.2475)^2+ (17.22 - 19.2475)^2 + (26.62 - 19.2475)^2 + (22.84 - 19.2475)^2 = 151.249475

σ = √(151.249475/4)

σ = 6.15

number of sample, n = 4

The z score for 98% confidence interval is 2.33

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

19.2475 ± 2.33 × 6.15/√4

= 19.2475 ± 2.33 × 3.075

= 19.2475 ± 7.16

The lower end of the confidence interval is 19.2475 - 7.16 = 12.09

The upper end of the confidence interval is 19.2475 + 7.16 = 26.41

8 0
4 years ago
Monica is an unmarried college student with no dependents. Last year, she made $14,000 working part time as a medical assistant.
Greeley [361]

Answer:

4650

Step-by-step explanation:

there

4 0
3 years ago
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