What is the side length of a cube with a volume of 3375 cm3

Answers

Answer 1

Answer: If you would like to know what is the side length of a cube with a volume of 3375 cm^3, you can calculate this using the following steps:

a ... side of a cube
V = a^3
3375 = a^3
a = 15 cm

The correct result would be 15 cm.

Answer 2

Answer: The volume of a cube is given by V = s3, where s is the length of a side. Find the length of a side of a cube if the Volume is 1000 cm3.

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The formula for the volume of w sphere is v=4\3 r3 what is the formula solved for r?

Answers

V of w sphere = $(4)/(3)$ $\pi$ r³
Multiply by 3 on either sides to get rid of the fraction.
$V * 3 = (4)/(3) *3 \pi r^3$
3V = 4 $\pi$ r³
Now divide either sides by 4 $\pi$ to isolate r³
$(3V)/(4 \pi ) = (4 \pi )/(4 \pi )$ r³
4 $\pi$ and 4 $\pi$ cancels out
$(3V)/(4 \pi )$ = r³
Take the cube root to isolate r.
$\sqrt[3]{ (3V)/(4 \pi ) } = \sqrt[3]{r^3}$
the cube root cancels the cube

$\sqrt[3]{ (3V)/(4 \pi ) }$ = r

5b less than or equal to -5please show your work so that I can understand. step by step thanks

Answers

Steps for 5b less than or equal to -5: 1. Divide by 5 on both sides 2. Your answer is b is less than or equal to -1 3. With inequalities you have to find a way to get b on one side and a number other. You still have to do the same thing on both sides though. So I divided by 5 on both sides to get my answer. Hope this helps you

The perimeter of a square is 20 ft. If you increase the length of the square by 2 feet and decrease the width by 1 foot, what is the area, in square feet, of the new figure

Answers

All 4 sides of a square are the same length.
If the perimeter of the square is 20-ft, then each side is 20-ft/4 = 5 ft.

If you increase the length of the square by 2-ft, then its new length is 5+2 = 7-ft.

If you decrease the width of the square by 1-ft, then its new width is 5-1 = 4-ft.

The area of the new figure is (length) x (width) = (7-ft x 4-ft) = 28 square feet.

The square before the transformation would have side lengths of 5 since 5*4=20
so increasing the length and decreasing the width would make the square a rectangle with dimensions 7×4.
a=LW
a=(7)(4)
=28ft²

the arrival rate is 9 / hour and the service rate is 14 / hour. the arrival and service distributions are not known so we can't use the m/m/1 formulas. if the average waiting time in the line is 24 minutes, then what is the length of the line?

Answers

The length of the line is approximately 5 people.

To find the length of the line given the arrival rate, service rate, and average waiting time, you can use the following formula:

Length of the line = (Arrival rate × Average waiting time) + (Arrival rate / Service rate)

First, convert the average waiting time from minutes to hours:

24 minutes = 24/60 = 0.4 hours

Now, plug in the given values into the formula:

Length of the line = (9 arrivals/hour × 0.4 hours) + (9 arrivals/hour / 14 services/hour)

Length of the line = (3.6 arrivals) + (0.6429 arrivals)

Length of the line ≈ 4.24 arrivals

Since you can't have a fraction of a person in the line, round up to the nearest whole number:

Length of the line ≈ 5 arrivals

So, the length of the line is approximately 5 people.