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rosijanka [135]
3 years ago
10

Solve for x 4x = -29 gove your answer as an improper fraction in its simplest form​

Mathematics
1 answer:
mihalych1998 [28]3 years ago
8 0
Exact form= -29/4
Decimal form = -7.25
Mixed number form = -7(1/4)
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Eight expressions are given below. Determine whether each expression is equivalent to 5^10 or not equivalent to 5^10.
KengaRu [80]

Answer:

See Explanation

Step-by-step explanation:

The question is incomplete, as the 8 expressions are not given.

The general explanation is as follows

As complex as an expression may seem, you have to simplify each expression until it cannot be further simplified.

Then you categorize each result, depending on if it equals 5^{10} or not

Take for instance:

5^5 * 5^5

Using law of indices:

5^5 * 5^5 = 5^{5+5

5^5 * 5^5 = 5^{10 ---- equivalent

\frac{5^5 + 5^5}{2 * 5^{-5}}

Factorize the numerator

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5(1  + 1)}{2 * 5^{-5}}

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5 * 2}{2 * 5^{-5}}

Cancel out 2

\frac{5^5 + 5^5}{2 * 5^{-5}} = \frac{5^5}{5^{-5}}

Apply law of indices

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5--5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{5+5}

\frac{5^5 + 5^5}{2 * 5^{-5}} = 5^{10 ---equivalent

125 * 78125

Express as exponent

125 * 78125  = 5^3 * 5^7

Apply law of indices

125 * 78125  = 5^{3+7

125 * 78125  = 5^{10 ---- equivalent

5^3 + 5^7

Solve exponents

5^3 + 5^7 = 125 + 78125

5^3 + 5^7 = 78250 ---- not equivalent

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Step-by-step explanation:

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Mandarinka [93]
Hi!

We know that there are three measures and each has a different amount of notes. To find the total we add them all up.
8+16+4=28.

There were 28 total notes played in the song.

I hope I helped you! 
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