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3 years ago

Simplify 5 square root 45

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

I hope this helps you

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Name this marked angle in 2 different ways

Ilia_Sergeevich [38]

Answer:

The marked angle could be named either NPO or OPN

Step-by-step explanation:

The points can be put in any order except the middle point, which has to be put in the middle. Hope that helps!

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3 years ago

What is 1/2 times 14x

lesya [120]

Answer:

Step-by-step explanation:

This quantity is the same as obtained when dividing 14x by 2: 7x

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3 years ago

What is the correct answer?

Alchen [17]

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4 years ago

Which expressions are equivalent to \dfrac{4^{-3}}{4^{-1}} 4 −1 4 −3 start fraction, 4, start superscript, minus, 3, end super

Slav-nsk [51]

Answer:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

Step-by-step explanation:

Given

$\dfrac{4^{-3}}{4^{-1}}$

Required

Choose equivalent expressions

Choosing the first answer:

$\dfrac{4^{-3}}{4^{-1}}$

Split expressions

$4^{-3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{4^{-1}}$

Apply laws of indices: $(a^{-b} = \frac{1}{a^b})$

$\frac{1}{4^3} * \frac{1}{1/4}$

$\frac{1}{4^3} * \frac{4^1}{1}$

$\frac{4^1}{4^3}$

Hence:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{4^{1}}{4^{3}}$

Choosing the second:

$\dfrac{4^{-3}}{4^{-1}}$

Apply law of indices: $(\frac{a^m}{a^n} = a^{m-n})$

So,

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3-(-1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-3+1)}$

$\dfrac{4^{-3}}{4^{-1}} = 4^{-2}$

Apply law of indices: $(a^{-b} = \frac{1}{a^b})$

So:

$\dfrac{4^{-3}}{4^{-1}} = \dfrac{1}{4^{2}}$

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3 years ago

So the African bush elephant weighs between 4.4 tons and 7.7 tons what are its least and greatest weights rounded to the nearest

san4es73 [151]

Answer:

least: 4 tons, greatest: 8 tons

Step-by-step explanation:

.4 round down (5 and up, round up rule)

.7 round up

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3 years ago