A surface area of a cube is 96cm. What is the length of one side? What is its volume

Answers

Answer 1
Answer: You are giventhe surface area of the cube which is 96cm2. You are asked to find the lengthof one side and its volume. Note that the surface area of the cube is equal to6 times the square root of s (the side of the cube) and the volume is the cuberoot of s. So, 

SA = 6*s^2
96cm2 = 6*s^2
s^2 = 16cm
s = 4cm,this is the length of one side. 

V = s^3
V = (4)^3
V = 64cm3,this is the volume of the cube.
Answer 2
Answer: 12, 96/8 equals 12, so therefore it is 12 cm cubed

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8,330,000,000 written in scientific notation?

Answers

8.33x10^9 is the answer I believe 
The answer should be 8.33 * 10 ^(9).

All you have to do is to convert constants into decimals and then count the number of zeroes and decimals.

in sound and harmonics, the frequency of a vibrating string varies inversely to its length. A guitar string 20 inches long vibrates at a frequency of 400 cycles per second. Find the frequency of a 35- inch string.

Answers

20 inches is 400
10 inches is 200
5 iches is 100

So 20+10+5=35
Which means 400+200+100= 700

So the frequency of a 35 inch string is 700 cycles per second

Biologists are treating a lake contaminated with bacteria. The level of contamination is changing at a rate of dN/dt=-1110/t² -230 bacteria percubic centimeter per day, where is the number of days since treatment began. Find a function N(t) to estimate the level of contamination if the
level after I day was 5380 bacteria per cubic centimeter.

Answers

Answer: the function N(t) to estimate the level of contamination in the lake is:

N(t) = -1110 ln(t) - 230t + 1110 ln(I) + 230I + 5380

Step-by-step explanation: ∫ dN/dt dt = ∫ (-1110/t² -230) dt

N(t) = -1110 ln(t) - 230t + C  

N(I) = -1110 ln(I) - 230I + C = 5380

C = 1110 ln(I) + 230I + 5380

Can anyone help me, i dont understand this. will give you all my points, and brainliest. Match the transformation with the correct representation.
g(x)=f(x)+n A horizontal shift of f , n units left
g(x)=f(x)- n A vertical shift of f, n units up
g(x)=f(x+n) A vertical shift of f, n units down
g(x)=f(x-n) A horizontal shift of f , n units right

Answers

Step-by-step explanation:

Transformations of graphs are fairly simple. Start with a parent function, or g(x) = f(x).

To move the graph UP or DOWN, add that number on the outside of the parenthesis with x: g(x) = f(x) + n is up, g(x) = f(x) - n is down.

To move the graph RIGHT you must SUBTRACT from inside the parenthesis. g(x) = f(x - n)

To move the graph to the LEFT you must ADD from inside the parenthesis . g(x) = f(x + n)

What is 2,200 yards in miles? Round to the nearest tenth of a mile.

Answers

There are 1.3 miles in 2,200 yards.

What is unit conversion?

It is the conversion of one unit to another unit with its standard conversion.

Examples:

1 hour = 60 minutes

1 minute = 60 seconds

1 km = 1000 m

We have,

2,200 yards ____(1)

1 mile = 1760 yards _____(2)

Now,

From (1) and (2),

1 mile = 1760 yards

Multiply 2,200/1760 on both sides.

2,200/1760 x 1 mile = 2,200/1760 x 1760 yards

1.25 miles = 2,200 yards

Rounding to the nearest tenths.

1.3 miles = 2,200 yards

Thus,

There are 1.3 miles in 2,200 yards.

Learn more about unitconversion here:

brainly.com/question/13899873

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Answer:

1.25 mi

Step-by-step explanation:

First, we want to convert a yard into feet; recall 1 yard = 3 feet.

Then we want to divide that by the number of feet in a mile 1 mile = 5280feet.

So 2200*3 =6600, then divide by 5280

6600/5280 = 1.25 mi

2200 yard is 1.25 miles

What is the answer to this problem?  7.5/12=4.2/x

Answers

Answer:

x = 67.2

Step-by-step explanation:

7.5/12 = 4.2/x

First, divide 7.5 by 12.

0.625 = 42/x

Next, multiply both sides by x

0.625x = 42

Next, divide by 0.625

x = 67.2

There's your answer!

Answer:

Answer is 6.720

Step-by-step explanation:

x = 168/25 = 6.720