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2 years ago

PLEASE HELP ASAP! you WILL get BRAINLIEST!

Mathematics

1 answer:

alukav5142 [94]2 years ago

5 0

Answer:

increase of 400%

Step-by-step explanation:

attached below

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Simplify the following expression as much as you can use exponential properties. (6^-2)(3^-3)(3*6)^4

gtnhenbr [62]

Answer:

Simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

Step-by-step explanation:

We need to simplify the expression $(6^{-2})(3^{-3})(3*6)^4$

Solving:

$(6^{-2})(3^{-3})(3*6)^4$

Applying exponent rule: $a^{-m}=\frac{1}{a^m}$

$=\frac{1}{(6^{2})}\frac{1}{(3^{3})}(18)^4\\=\frac{(18)^4}{6^{2}\:.\:3^{3}} \\$

Factors of $18=2\times 3\times 3=2\times3^2$

Factors of $6=2\times 3$

Replacing terms with factors

$=\frac{(2\times3^2)^4}{(2\times 3)^{2}\:.\:3^{3}} \\=\frac{(2)^4\times(3^2)^4}{(2)^2\times (3)^{2}\:.\:3^{3}} \\$

Using exponent rule: $(a^m)^n=a^{m\times n}$

$=\frac{(2)^4\times(3)^8}{(2)^2\times (3)^{2}\:.\:3^{3}} \\=\frac{2^4\times 3^8}{2^2\times 3^{2}\:.\:3^{3}}$

Using exponent rule: $a^m.a^n=a^{m+n}$

$=\frac{2^4\times 3^8}{2^2\times 3^{2+3}}\\=\frac{2^4\times 3^8}{2^2\times 3^{5}}$

Now using exponent rule: $\frac{a^m}{a^n}=a^{m-n}$

$=2^{4-2}\times 3^{8-5}\\=2^{2}\times 3^{3}\\=4\times 27\\=108$

So, simplifying the expression $(6^{-2})(3^{-3})(3*6)^4$ we get $\mathbf{108}$

7 0

2 years ago

Multiple all the coordinates by 1/5.

Andrew [12]

Answer:

(-1,2) , (2,-1), (2,-1) , (-2,1)

Step-by-step explanation:

-5 x 0.2=-1

5 x 0.2=1

10 x 0.2= 2

-10x 0.2=-2

6 0

2 years ago

Which ordered pair is not in the solution set of

Fed [463]

Answer:

the pair that is not a solution is d

Step-by-step explanation:

5 > 2(2) + 1

5 > 4 + 1

5 > 5

it is equal to and not greater than

6 0

2 years ago

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5 1/2 + 3 4/5 + 1 1/4 =

ratelena [41]

Answer:

$10\frac{11}{20}$

Step-by-step explanation:

$5\frac{1}{2} + 3\frac{4}{5} + 1\frac{1}{4}$

1.Find the LCM(Least Common Multiple).

That would be 20.

2.Multiply so all denominators are equal.

$5\frac{10}{20} + 3\frac{16}{20} + 1\frac{5}{20}$

3. Add

$9\frac{31}{20}$

4. Simplify

$10\frac{11}{20}$

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1 year ago

Sydney read

Naily [24]

Answer:

1.25 pages per minute

Step-by-step explanation:

If Sydney read 50 pages at a constant rate in 40 minutes, then to get pages per minute just divide total pages by minutes

5 0

3 years ago

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