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Iteru [2.4K]
3 years ago
11

if each side of the cube shown above has the same length as the measured side what is the approximate volume of the cube

Mathematics
1 answer:
klemol [59]3 years ago
5 0

Answer:

The measured side is not shown, so i will answer in a general way.

A cube is a 3-dimensional object with 6 square faces.

You know that all the sides of a square have the same length, then is the same for the cube.

To calculate the volume of a cube, we start with the area of the base.

The base is a square of sidelength L (Suppose that L is the length of the measured side)

The area of the base is:

A = L^2.

To find the volume, we must multiply the area of the base by the height of the fire (because the section of the base does not change).

And the height of the cube is also L.

Then the volume is:

V = L*a = L^3

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Assume the exponential growth model ​A(t)equals=Upper A 0 e Superscript ktA0ekt and a world population of 5.95.9 billion in 2006
Whitepunk [10]

Answer:

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Step-by-step explanation:

We are given the following in the question:

The exponential growth model ​is given by:

A(t) = A_0e^{kt}

where k is the growth rate, t is time in years and A_0 is constant.

The world population is 5.9 billion in 2006.

Thus, t = 0 for 2006

A_0 = 5.9\text{ billions}

We have to find the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

Putting these values in the growth model, we have,

24 = 5.9e^{100k}\\\\k = \dfrac{1}{100}\ln \bigg(\dfrac{24}{5.9}\bigg)\\\\k = 0.01403\\k = 0.01403\times 100\% = 1.4\%

1.4% is the maximum acceptable annual rate of​ growth such that the population must stay below 24 billion during the next 100​ years.

8 0
2 years ago
Chester has less than $25 to spend at the county fair. The entrance fee is $5, and each ride costs $3. The number of rides, r, t
padilas [110]

Answer:

6 rides

Step-by-step explanation:

3r+5<25

3r<20

r<6.67

rides=6

check answer

3r+5<25

3(6)+5<25

18+5<25

23<25

4 0
2 years ago
Explain how an enlargement or a reduction in the dimensions of a building would cause a change in the scale factor.
swat32

Answer:

It would create an enlarged figure.

Explanation:

A scale factor of  

1

results in a figure of equal dimensions or an isometric figure.

A scale factor of less than  

1

results in a figure of reduced dimensions .

A scale factor of greater than  

1

would result in a figure of enlarged dimensions.

As  

4

3

>

1

, it would create an enlarged figure.

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
What survival rate in the 10th year would make the average rate of loss over the 10-year period equal to 38.0%?
Morgarella [4.7K]

Answer: 63%

Step-by-step explanation:

First find the rate of loss that would cause the average rate of loss over the 10-year period equal to 38.0%.

Assume that rate is x.

38 = (36.2 + 29.0 + 46.2 + 37.5 + 40.9 + 40.0 + 32.6 + 40.5 + 40.1 + x) / 10

38 = (343 + x ) / 10

380 = 343 + x

x = 380 - 343

x = 37%

The survival rate is the opposite of the rate of loss which means that the survival rate is;

= 1 - rate of loss

= 1 - 37%

= 63%

7 0
2 years ago
Write an addition problem that has the sum of 1- 3/5 and the two addends must have different signs
Galina-37 [17]
6 + (-4 2/5) = 1 3/5 <==
3 0
3 years ago
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