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2 years ago

What is the solution to the equation? 2(x-4)3/2=54

Mathematics

2 answers:

galina1969 [7]2 years ago

8 0

Answer: 22

Step-by-step explanation:

2(x-4)3/2=54

Since [2(x-4) is 2x-8], we have:

(2x-8)3/2=54

Multiply both sides by 2:

(2x-8)3=108

Divide both sides by 3:

(2x-8)=36

Remove parentheses and add 8 to both sides:

2x=44

Divide both sides by 2:

x = 22

Salsk061 [2.6K]2 years ago

6 0

13

Mark brainliest please

Hope this helps you

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Luden [163]

Answer:

$\sf 500,000,000,000=5 \times 10^{11}$

$\sf 0.00000000005=5 \times 10^{-11}$

Step-by-step explanation:

Scientific notation

$\large\boxed{a \times 10^n}$

where:

$1\leq a < 10$

$n$ is any positive or negative whole number.

To convert a number into scientific notation, move the decimal point to the left or right until there is one digit to the left of the decimal point.

The number of times you have moved the decimal point is $n$ .

If the decimal point has moved to the left, $n$ is positive.
If the decimal point has moved to the right, $n$ is negative.

To convert 500,000,000,000 into scientific notation, move the decimal point 11 places to left, so a = 5. As we have moved the decimal point 11 places to the left, the exponent "n" is 11 and is positive.

$\implies \sf 500,000,000,000=5 \times 10^{11}$

To convert 0.00000000005 into scientific notation, move the decimal point 11 places to the right, so a = 5. As we have moved the decimal point 11 places to the right , the exponent "n" is 11 and is negative.

$\implies \sf 0.00000000005=5 \times 10^{-11}$