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3 years ago

Help me solve this please?

Mathematics

1 answer:

makkiz [27]3 years ago

8 0

Step-by-step explanation:

Simplify the following expression then state the property used:

9^-2

Property:

Given,

9^-2

For any real numbers a and b a, b ≠ 0, and for any two positive integers, n and n

a^-m

=> 1/a^m [By doing reciprocal]

So,

9^-2

=> 1/9^2

=> 1/(3^2)^2

=> 1/(3^4)

=> 1/(3*3*3*3)

=> 1/81. Ans.

Hope this helps.

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$62.42

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Murrr4er [49]

Answer:

The probability that the first marvel will be red and the second will be green is 7.14%.

Step-by-step explanation:

Since a bag contains 2 red marbles, 2 green marbles and 4 blue marbles, if we choose a marble and then other marble without putting the first one back in the bag, to determine what is the probability that the first marvel will be red and the second will be green, the following calculation must be performed:

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2 years ago

Can someone solve this? and tell me how?

maksim [4K]

Answer:

1/3

Step-by-step explanation:

When working with balanced expressions (stuff on both sides of the equal sign), "what you do to one side, you do to the other", which keeps it balanced.

The first thing we notice is the exponent 1/4, which is one both sides, so we can get rid of it on both sides by using the <u>reverse operation</u>.

The reverse of exponents is <u>square root</u>.

$(4x + 10)^{\frac{1}{4}} = (9 + 7x)^{\frac{1}{4}}\\\sqrt[\frac{1}{4}]{(4x + 10)^{\frac{1}{4}}} = \sqrt[\frac{1}{4}]{(9 + 7x)^{\frac{1}{4}}}\\\\4x + 10 = 9 + 7x$

Isolate x to solve. Separate the variables and non-variables.

4x + 10 = 9 + 7x

4x - 4x + 10 = 9 + 7x - 4x Subtract 4x from both sides

10 = 9 + 3x

10 - 9 = 9 - 9 + 3x Subtract 9 from both sides

1 = 3x Divide both sides by 3 to isolate x

x = 1/3 Answer

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3 years ago