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2 years ago

Please Help me answer all 4 questions with a full explanation so I can solve the rest on my own.

Mathematics

1 answer:

Nata [24]2 years ago

6 0

$\\ \rm\Rrightarrow (2x^2)^3.2yx^0=8x^6.2y=16x^6y$

$\\ \rm\Rrightarrow (2x^4y^3)^3.2x^4y^4=8x^{12}y^6.2x^4y^4=16x^{16}y^{10}$

$\\ \rm\Rrightarrow (m^3n^0(2m^3n^2)^4)^2=(m^316m^{12}n^8)^2=(16m^{15}n^8)^2=256m^{30}n^{16}$

$\\ \rm\Rrightarrow (2xy^3)^2.2x^2y^0=4x^2y^6.2x^2=8x^4y^6$

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Answer:

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Step-by-step explanation:

The lengths can be found by considering their ratio:

short : long = 1 : 5

The sum of the ratio units is 1+5 = 6, and the sum of the lengths is 144 inches. That means each "ratio unit" stands for (144 in)/6 = 24 inches of length.

The lengths are ...

1 : 5 = 24 in : 120 in

The pieces are 24 inches and 120 inches in length.

Equivalently, you can let s represent the shorter length. Then 5s is the longer one, and their total is ...

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2 years ago

Does the expression 1.016x represent a percent increase greater than 12% if the original amount is x? How could I rewrite the ex

GrogVix [38]

Answer:

The expression $1.016x$ does not represent a percent increase greater than 12%.

Step-by-step explanation:

We are asked to find whether the expression $1.016x$ represent a percent increase greater than 12% if the original amount is x.

First of all, we will find 12% increase. The total amount after x% increase would be original amount plus 12% of original amount.

$\text{12 percent increase}=x+\frac{12}{100}x$

$\text{12 percent increase}=x+0.12x$

$\text{12 percent increase}=1.12x$

Since 1.12 is greater than 1.016, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

We can rewrite $1.016x$ as:

$1.016x=1x+0.016x=x+0.016x$

Let us convert $0.016$ to percent by multiplying by 100.

$0.016\times 100\%=1.6\%$

Since 1.6% is less than 12%, therefore, the expression $1.016x$ does not represent a percent increase greater than 12%.

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4 years ago

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