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Black_prince [1.1K]
3 years ago
7

Answer now!!! Please!!! (Math)

Mathematics
1 answer:
Serggg [28]3 years ago
4 0

<u>Answer:</u>

The correct answer option is \frac{25}{9}.

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

We are given the following expression and we are to evaluate it when a = 5 and k = -2:

[\frac{3^2a^{-2}}{3a^{-1}} ]^k

Substituting the given values of  a and k to get:

[\frac{3^2(5)^{-2}}{3(5)^{-1}} ]^{-2}

\frac{3^{(2\times -2)}.5^{(1\times-2)}}{3^{(-1\times-2)}.5^{(2\times-2)}}

\frac{3^{-4}.5^{-2}}{3^{-2}.5^{-4}}

3^{-2}.5^2

\frac { 1 } { 3 ^ 2 } . 2

\frac { 1 } { 9 } . 2 5

\frac { 2 5 } { 9 }

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Answer:

You can refer to the given attachment

7 0
2 years ago
What is the area of the shaded region below?<br> 7 m<br> 30 m<br> 7 m<br> 21 m
Rama09 [41]

Answer:

322.28

A

Step-by-step explanation:

Area of the rectangle

L = 30

W = 21

Area = 30 * 21

Area = 630

Area of the circles

Radius = 7 m

Area = pi r^2

Area = 3.14 * 7^2

Area = 153.86 m^2

Area of both circles = 307.72

Area of the Shaded Region

Area of shaded region = area of the rectangle - area of 2 circles.

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5 0
3 years ago
Complete the square to solve 4x^2 + 24x = 4
dalvyx [7]

Answer:

4x^2+24x=4

Step 1:

make the coefficient of x² as 1, divide both sides by 4

x² +6x =1

Step 2:

take half of coefficient of x, square it and add it to both sides

half of 6 is 3 and 3²=9, so add 9 to both sides

x² +6x+9=1+9

x²+6x+3²=10

(x+3)²=10

now when we take square root we will get both + and - √10 on right side

x+3= +√10

x+3=-√10

solving for x

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Step-by-step explanation:

4 0
3 years ago
A diagram showing a neighborhood park is plotted on the coordinate plane. Each unit on the coordinate plane represents 1 yard. F
grandymaker [24]

Answer:

Step-by-step explanation

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= √ (5^2 + 7^2) = √74.

The right sloping line

= √(5^2 + 5^2) = √50.

So the perimeter:

= √74 + √50 + 2 + 2 * 4 + 14

= 39.67 to nearest hundreth.

Area = 1/2 * 5 * 7 + 2*5 + 1/2 * 5 * 5 + 4*14

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3 0
2 years ago
5u − –20u − u − 18u + –11u = 10<br> HURRRY PLEEEEESEEEE I ONLY HAVE 4 minutes left
drek231 [11]
5u - (-20u) - u - 18u + (-11u) = 10
5u + 20u - u - 18u - 11u = 10
-5u = 10
-5(-2) = 10

So, in conclusion, X, is equal to -2.
8 0
3 years ago
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