3 years ago

3/4 −(x+ 1/8 )= 5/16

Mathematics

1 answer:

Vinil7 [7]3 years ago

6 0

answer is 5/16 or 0.3125

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3 years ago

Simplity (4^-2)^5<br> A.1/4^10<br> B. 4^3<br> C.1/4^3<br> D. 4^10

Goshia [24]

Answer:

$(4^{-2})^5=\dfrac{1}{4^{10}}$

Step-by-step explanation:

The given expression is : $(4^{-2})^5$

We need to simplify the above expression.

We know that, $x^{-a}=\dfrac{1}{x^a}$

$(4^{-2})^5=(\dfrac{1}{4^2})^5\\\\=\dfrac{1^5}{(4^2)^5}\\\\\because (x^b)^c=x^{b\times c}\\\\=\dfrac{1}{4^{10}}$

So, the simplified form of the given expression is $\dfrac{1}{4^{10}}$ . Hence, the correct option is (A).

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3 years ago

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Dave wants to buy a new collar for each of his 3 dogs. The collars come in a choice of 6 different colors. 1. How many selection

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Step-by-step explanation:

we have 6 different colors and we can choose the same color repeatedly, so for each of the 3 dogs, we have 6 possibilities, so the number of combinations is 6*6*6 = 216 selections.

we have 6 different colors and we can't repeat a color, so the first collar has 6 possibilities, the second has 5 possibilities (one color was already chosen), and the third collar has 4 possibilities (two already chosen), so the number of selections is 6*5*4 = 120.

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Step-by-step explanation:

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