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4 years ago

5

Avery gets newsletter by email.He gets one for sports every 5 days,one for model railroads every 10 days ,and one for music ever

y 8 days.If he got all three today, how many more days will it be until he gets all three newsletters on the same day again?

1 answer:

hammer [34]4 years ago

3 0

It will take 40 days to get all the nwe paper

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If 30,000 cm2 of material is available to make a box with a square base and an open top, what is the largest possible volume (in

Cloud [144]

Answer:

The largest possible volume of the box is 2000000 cubic meters.

Step-by-step explanation:

The volume ( $V$ ), in cubic centimeters, and surface area ( $A_{s}$ ), in square centimeters, of the box with a square base are described below:

$A_{s} = l^{2}+h\cdot l$ (1)

$V = l^{2}\cdot h$ (2)

Where:

$l$ - Side length of the base, in centimeters.

$h$ - Height of the box, in centimeters.

By (2), we clear $h$ within the formula:

$h = \frac{V}{l^{2}}$

And we apply in (1) and simplify the resulting expression:

$A_{s} = l^{2}+ \frac{V}{l}$

$A_{s}\cdot l = l^{3}+V$

$V = A_{s}\cdot l -l^{3}$ (3)

Then, we find the first and second derivatives of this expression:

$V' = A_{s}-3\cdot l^{2}$ (4)

$V'' = -6\cdot l$ (5)

If $V' = 0$ and $A_{s} = 30000\,cm^{2}$ , then we find the critical value of the side length of the base is:

$30000-3\cdot l^{2} = 0$

$3\cdot l^{2} = 30000$

$l = 100\,cm$

Then, we evaluate this result in the expression of the second derivative:

$V'' = -600$

By Second Derivative Test, we conclude that critical value leads to an absolute maximum. The maximum possible volume of the box is:

$V = 30000\cdot l - l^{3}$

$V = 2000000\,cm^{3}$

The largest possible volume of the box is 2000000 cubic meters.

4 0

3 years ago

What is 700,000,000,000 written in scientific notation?

Cerrena [4.2K]

The answer is 7*10^11

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3 years ago

Which rule describes the composition of transformations that maps figure ABCDE to figure A"B"C'D"E"? 90 degree rotation about po

Gemiola [76]

Answer:

A

Step-by-step explanation:

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3 years ago

Read 2 more answers

What are the partial products for 3.2 x 0.6?

Lera25 [3.4K]

Answer:

This is a complete lesson with instruction & exercises for 5th grade about multiplying decimals by decimals. The interpretation for multiplying a decimal by a decimal is to think of it as taking a fractional part of a decimal number (the symbol × translates to "of"). The lesson compares multiplication by a decimal to scaling & shrinking a stick. Lastly, it shows the common shortcut to decimal multiplication (multiply as if there were no decimal points; the answer has as many decimals as the factors have in total.)

In the video below, I explain the rule for multiplying decimals (put as many decimal digits in the answer as there are in the factors.) I explain where this rule comes from, using fraction multiplication. The lesson continues below the video.

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3 years ago

Choose the true statement.<br> 0-2 <-3<br> 0-2>-3<br> 0-2 = -3

Natasha2012 [34]

The true statement is -2>-3

Step-by-step explanation:

The given statement included inequality and comparison symbols. The numbers involved are negative integers.

As the number increases its value decreases which means that -1 will be greater than -2 and so on

Given statement will be discussed one by one

-2 <-3

-2 comes before -3 so the statement is true as -2 will be greater than -3.

-2>-3

The statement is true because -2 is greater than -3

The true statement is -2>-3

Keywords: Comparisons, Inequality

Learn more about inequalities at:

#LearnwithBrainly

3 0

3 years ago