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3 years ago

Please help me with this thanks:) fast!!!

Mathematics

1 answer:

Mnenie [13.5K]3 years ago

3 0

Answer:

$2\sqrt{1.86}$ = 0.95 $2\sqrt{0.95}$ = 0.485 --> (hundredth) 0.49

Step-by-step explanation:

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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

3 years ago

It takes 113 pounds of seed to completely plant a 12 -acre field. how many acres can be planted per pound of seed?

svp [43]

The answer is <span>0.10619469026.

It takes about 9lbs of seed to plant 1-acre, so to find the answer divide 12/113 and you get how many acres 1lb of seed could cover.

Hope this helps :-)

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3 0

3 years ago

Just click the picture you don't have to show your work. IF you want to you can tho.

weeeeeb [17]

The correct answer is A.

That is because the whole paragraph talks about a model car that they are testing but this student is wondering about roller coasters.

Hope this helps :)

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3 years ago

Which type of angle is ABC

AleksAgata [21]

ABC is a right angle

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3 years ago

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Whats 1000*1000 I<br> it's too short. Write at least 20 characters to get a great answer.

Alekssandra [29.7K]

Answer:

1000000

Step-by-step explanation:

4 0

3 years ago

Please help me with this thanks:) fast!!!​

Please help me with this thanks:) fast!!!