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3 years ago

7. A road construction crew was working under lights at night to pave a major state highway between

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

11.45 miles

Step-by-step explanation:

you add

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Please solve this, will rate 5 stars and mark as STAR!

Nina [5.8K]

Answer:

$\boxed{5 \cdot \sqrt{2} \cdot \sqrt[6]{5} }$

Step-by-step explanation:

$\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$\sqrt{\sqrt[3]{10} } \implies (10^\frac{1}{3} )^\frac{1}{2} =10^\frac{1}{6} =\sqrt[6]{10}$

$\therefore \sqrt{\sqrt[3]{10} }=\sqrt[6]{10}$

$\text{Solving }\sqrt[3]{250} \cdot \sqrt{\sqrt[3]{10} }$

$250=2 \cdot 5^3$

$\sqrt[3]{250}=\sqrt[3]{2\cdot 5^3}=5 \sqrt[3]{2}$

Once

$\sqrt[6]{2} \cdot \sqrt[6]{5} = \sqrt[6]{10}$

We have

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5}$

We can proceed considering the common base of exponentials

$\sqrt[3]{2} \cdot \sqrt[6]{2} = 2^{\frac{1}{3}} \cdot 2^{\frac{1}{6} } = 2^{\frac{3}{6} } = 2^{\frac{1}{2} }=\sqrt{2}$

Therefore,

$5 \sqrt[3]{2} \cdot \sqrt[6]{2} \cdot \sqrt[6]{5} = 5 \cdot \sqrt{2} \cdot \sqrt[6]{5}$

7 0

3 years ago

Mikhael wanted to rewrite the conversion factor "1 yard ≈ 0.914 meter" to create a conversion factor to convert meters to yards.

Nataly [62]

Answer:

$1\ meter = 1.094\ yard$

Step-by-step explanation:

Given

$1\ yard = 0.914\ meter$

Required

Create a convert meter to yard expression

$1\ yard = 0.914\ meter$

Divide both sides by 0.914

$\frac{1\ yard}{0.914} = \frac{0.914\ meter}{0.914}$

$\frac{1\ yard}{0.914} = 1\ meter$

$1.09409190372\ yard = 1\ meter$

$1\ meter = 1.09409190372\ yard$

$1\ meter = 1.094\ yard$ --- approximated

6 0

3 years ago

Please help

ioda

Answer:

im 12!! how do you do this

Step-by-step explanation:

3 0

3 years ago

A food scientist is developing a new recipe. He needs it to have between 3 and 5 teaspoons of sugar per serving and between 3 an

Tema [17]

Answer:

aaaaaaaa nad its by

Step-by-step explanation:

7 0

3 years ago

Which is the same as multiplying a number by two?

Pachacha [2.7K]

C adding a number to itself

5 0

3 years ago