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soldier1979 [14.2K]
3 years ago
15

The expression 3^2 ∙ 3^n simplifies to 3^20.

Mathematics
1 answer:
tiny-mole [99]3 years ago
7 0

Answer: 18

<u>Step-by-step explanation:</u>

3² * 3ⁿ = 3²⁰

3⁽²⁺ⁿ⁾  = 3²⁰

 2 + n = 20

<u> -2      </u>   <u>  -2</u>

       n = 18

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Given g(x) = :-2 +4, solve for a when g(x) = 0.
evablogger [386]

Answer:

-7/4

Step-by-step explanation:

You are looking for the composite g(f(2)). The simplest way to solve this is to evaluate f(2) and enter the solution in to your g function.

g(f(2))=g(-(2)^2-2(2)+4)=g(-4-4+4)=g(-4)

g(-4)=4/(-4(-4)-2)=4/(16-2)=4/14=2/7

Therfor, g(f(2))=2/7  **I'm assuming the -4x-2 is all in the denominator of the g(x) function. If -2 is not in the denominator you would have

g(f(2))=4/(-4(-4)) -2=4/16 -2=1/4 -2=1/4-8/4= -7/4

8 0
3 years ago
Use the Distributive Property to find 2/5 × 10 2/3
Grace [21]
4.26666667. (Round it)
6 0
3 years ago
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The perimeter of a triangle is 170 feet and the sides are in the ratio of 25:14:12. Find the area of the triangle.
Viktor [21]
Let
x,y, and z the long sides of the triangle 

we know that

x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4

substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40

Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²

the answer is
26558.21 ft²
6 0
3 years ago
Jericho takes 3 tests in one month. The number of correct answers and the total
Delvig [45]

Answer:

you need to show the table for this question to get solved

8 0
2 years ago
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Carrie missed 9.6% of the problems on a test. The test had a total of 125 problems.
Nataly_w [17]

Answer:

G 13

Step-by-step explanation:

X/125 = 9.6%/100%

125*(9.6) / 100 = 12;

BEST estimate 13

7 0
3 years ago
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