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3 years ago

Which of the following is not a step in the conversion of 1.3 dam3 to L?

Mathematics

1 answer:

aivan3 [116]3 years ago

4 0

<span>(10^-3L/1mL)^3 is the correct answer.</span>

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Shortern this expression pls

pogonyaev

Answer:

$c =\frac{8}{3}$

Step-by-step explanation:

Given

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Required

Shorten

We have:

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}}$

Rationalize

$c = \sqrt{\frac{4 + \sqrt 7}{4 - \sqrt 7} * \frac{4 + \sqrt 7}{4 + \sqrt 7}} + \sqrt{\frac{4 - \sqrt 7}{4 + \sqrt 7}*\frac{4 - \sqrt 7}{4 - \sqrt 7}}$

Expand

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{4^2 - (\sqrt 7)^2}} + \sqrt{\frac{(4 - \sqrt 7)^2}{4^2 - (\sqrt 7)^2}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{16 - 7}} + \sqrt{\frac{(4 - \sqrt 7)^2}{16 - 7}$

$c = \sqrt{\frac{(4 + \sqrt 7)^2}{9}} + \sqrt{\frac{(4 - \sqrt 7)^2}{9}$

Take positive square roots

$c =\frac{4 + \sqrt 7}{3} + \frac{4 - \sqrt 7}{3}$

Take LCM

$c =\frac{4 + \sqrt 7 + 4 - \sqrt 7}{3}$

Collect like terms

$c =\frac{4 + 4+ \sqrt 7 - \sqrt 7}{3}$

$c =\frac{8}{3}$

4 0

2 years ago

Blank numbers can be written as a product of blank factors.This is called the prime factorization of a number.

noname [10]

Yes, the blank numbers that can be written as a product of blank factors are called the prime factorization of a number. It can also be composite numbers where it can be written also as the product of prime factors.

3 0

3 years ago

Read 2 more answers

If the ratio y/x is the same for all related pairs of x and y, what does that mean

Verizon [17]

Answer:

The same ratio indicates that there is a proportional relationship between y and x.

Step-by-step explanation:

We know when y varies directly with x, the equation is

y ∝ x

$y=kx$