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kogti [31]
3 years ago
10

Complete the equation. (4x)−2(4x)3(4x)9=(4x)

Mathematics
1 answer:
AVprozaik [17]3 years ago
8 0

Given:

Consider the given equation is

(4x)^{-2}(4x)^3(4x)^9=(4x)^?

To find:

The missing value in the given equation and complete the equation.

Solution:

We have,

(4x)^{-2}(4x)^3(4x)^9=(4x)^?

Taking LHS, we get

LHS=(4x)^{-2}(4x)^3(4x)^9

LHS=(4x)^{-2+3+9}          [\because a^ma^n=a^{m+n}]

LHS=(4x)^{10}

and,

RHS=(4x)^?

Let the missing value be k.

For each equation LHS=RHS.

(4x)^{10}=(4x)^{k}

10=k

Therefore, the missing value is 10 and the complete equation is (4x)^{-2}(4x)^3(4x)^9=(4x)^{10}.

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Mark McGuire hit 70 home runs in the 1998 season. Given that there are 4 bases & 90 feet between each base, how many miles d
alekssr [168]

Answer:

4.8 or about 5 miles

Step-by-step explanation:

In order to solve this problem, you must first multiply the 4 bases × 90 feet to get how much feet he runs in 1 home run. 4 × 90= 360 feet. Then you must multiply 360 feet × 70 homeruns, this will give you how many feet he ran in 70 homeruns. Your answer will be 25,200 feet. Now, there are 5,280 feet in <em>one</em> mile, so you must divide 25,200 by 5,280. Using a calculator, my answer was 4.7727272727. I then rounded it up to 4.8 miles, or about 5 miles.

6 0
4 years ago
Solve for the value of S.
fomenos
<h2>Answer:</h2>

s = 18°

<h2>Step-by-step explanation:</h2>

The figure has been re-labelled to show additional information and description and has been attached to this response.

As shown in the figure, line AB is a straight line.

The angles on the straight line are <em>6s + 2</em> and <em>4s - 2</em>

<em></em>

Since the sum of angles on a straight line is 180°, it therefore implies that;

<em>6s + 2</em> + <em>4s - 2 = 180°</em>

<em></em>

<em>Solve for s by collecting like terms and simplifying</em>

6s + 4s + 2 - 2 = 180

6s + 4s = 180

10s = 180

s = 18°

Therefore, the value of s is 18°

7 0
3 years ago
Saul Harrington is trying to decide between two banks. He plans to maintain a balance of $2000 in his checking account.
serg [7]
D. is the correct answer i belive:)
8 0
4 years ago
What are the solutions of-4(x-4) &lt; -8
Andrew [12]

Answer:

-4x+16 < -8

Step-by-step explanation:

x*-4=-4x

4*-4=-16

-16

:)

4 0
3 years ago
2x^2 + 9x +12+3x+2 8x^2 write an equivalent expression.
Alex73 [517]

Answer:

10x^2 + 12x + 14

Step-by-step explanation:

Combine like terms: 2x^2 + 8x^2 = 10x^2 , 9x + 3x = 12x , 12 + 2 = 14

In total: 10x^2 + 12x + 14

7 0
3 years ago
Read 2 more answers
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