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3 years ago

Round 19.543 to the nearest hundredth

Mathematics

1 answer:

lara31 [8.8K]3 years ago

7 0

Answer:

19.54

Step-by-step explanation:

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Find the value of the following expression: (2^8 ⋅ 5^−5 ⋅ 19^0)^−2 ⋅ 5 to the power of negative 2 over 2 to the power of 3, whol

koban [17]

Answer:

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

Step-by-step explanation:

$\left(2^8\cdot5^{-5}\cdot19^0\right)^{-2}\cdot\left(\dfrac{5^{-2}}{2^3}\right)^4\cdot228\\\\\text{use}\ a^{-n}=\dfrac{1}{a^n}\ \text{and}\ a^0=1\ \text{and}\ (a^n)^m=a^{nm}\\\\=\left(2^8\cdot\dfrac{1}{5^5}\cdot1\right)^{-2}\cdot\left(\dfrac{\frac{1}{5^2}}{2^3}\right)^4\cdot228=\left(\dfrac{2^8}{5^5}\right)^{-2}\cdot\left(\dfrac{1}{2^35^2}\right)^4\cdot228$

$=\dfrac{(2^8)^{-2}}{(5^5)^{-2}}\cdot\dfrac{1^4}{(2^3)^4(5^2)^4}\cdot228=\dfrac{2^{-16}}{5^{-10}}\cdot\dfrac{1}{2^{12}5^8}\cdot228\\\\\text{use}\ a^n=\dfrac{1}{a^{-n}}\to\dfrac{1}{a^n}=a^{-n}\\\\=2^{-16}\cdot5^{10}\cdot2^{-12}\cdot5^{-8}\cdot228\\\\\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=2^{-16+(-12)}\cdot5^{10+(-8)}\cdot228=2^{-28}\cdot5^2\cdot228\\\\=2^{-28}\cdot5^2\cdot4\cdot57=2^{-28}\cdot5^2\cdot2^2\cdot57=2^{-28+2}\cdot5^2\cdot57\\\\=2^{-26}\cdot5^2\cdot57=\dfrac{5^2\cdot57}{2^{26}}$

$\large\boxed{\dfrac{5^2\cdot57}{2^{26}}=\dfrac{1425}{67108864}}$

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2 years ago

The square of 7/8 is

Charra [1.4K]

Answer:

7/8 squared = 49/56

Square root = 0.330718914.....

Hope that helps!

Step-by-step explanation:

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2 years ago

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Anna graphs y=4/5x+5 as shown. Select the statements that identify errors,if any,on Anna’s graph

mart [117]

Answer:

where is the graph????

Step-by-step explanation:

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2 years ago

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You earn $10 per hour working as a manager at a grocery store. You are required to work at the grocery store at least 8 hours pe

Oksi-84 [34.3K]

You would have to multiply 120 x 20 then divide by 8. I hope that helps you!

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3 years ago

Help please! I’ll give brainliest.

Lapatulllka [165]

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Answer:

(a) not proportional

(b) k = 7/8

Step-by-step explanation:

When a linear equation is of the form ...

y = mx + b

with b ≠ 0, the relation is NOT PROPORTIONAL.

If b=0, so the equation is of the form ...

y = kx

then the relation IS PROPORTIONAL. The constant of proportionality is k.

(a) Not proportional

(b) Proportional with k = 7/8

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3 years ago