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Katen [24]
3 years ago
15

For cylinders with radius 2 units, let h represent the height of the cylinder, in units, and the V represent the volume of the c

ylinder, in cubic units.
a. Complete the table relating the height and volume of cylinders with radius 2 inches.


Type each volume as a multiple of π, or round to the nearest cubic inch.


Is there a linear relationship between height and volume?

The attachment is the table.

Mathematics
2 answers:
ozzi3 years ago
4 0
Hmmm give. Me 5 minutes and I will tell you
ElenaW [278]3 years ago
3 0

Answer:

H          V

1            4π

2           8π

3           12π

   

There is a linear relationship between height and volume in this example. With a constant radius value for this table, the volume is 4 times the size of the height of the cylinder.

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
Alika [10]

The population of the moose after 12 years is 7692

Step-by-step explanation:

The form of the exponential growth function is y=a(b)^{x} , where

  • a is the initial value
  • b is the growth factor

The table:

→  x  :  y

→  0  :  40

→  1   :  62

→  2  :  96

→  3  :  149

→  4  :  231

To find the value of a , b in the equation use the data in the table

∵ At x = 0 , y = 40

- Substitute them in the form of the equation above

∵ 40=a(b)^{0}

- Remember any number to the power of zero is 1 (except 0)

∴ 40 = a(1)

∴ a = 40

- Substitute the value of a in the equation

∴ y=40(b)^{x}

∵ At x = 1 , y = 62

- Substitute them in the form of the equation above

∵ 62=40(b)^{1}

∴ 62 = 40 b

- Divide both sides by 40

∴ 1.55 ≅ b

∴ The growth factor is about 1.55

- Substitute its value in the equation

∴ The equation of the population is y=40(1.55)^{x}

To find the population of moose after 12 years substitute x by 12 in the equation

∵ y=40(1.55)^{12}

∴ y ≅ 7692

The population of the moose after 12 years is 7692

Learn more:

You can learn more about the logarithmic functions in brainly.com/question/11921476

#LearnwithBrainly

7 0
3 years ago
Write the Number 68,127,000,000,000,000 in Scientific notation
Dafna1 [17]

Answer:

6.8127x10^16

Step-by-step explanation:

the 16th power comes from the 16 numbers positioned behind the the 6

3 0
4 years ago
Read 2 more answers
Easy question:
fredd [130]
The ratio of bananas to apples is 2:5
8 0
3 years ago
Read 2 more answers
For which equations below is x = -3 a possible solution? Select three options.
myrzilka [38]

Answer:

x=-3

|-x| = 3

|x| = 3

Step-by-step explanation:

we know that

If a number is a solution of a equation, then the number must satisfy the equation

<em>Verify each case</em>

case 1) we have

x=3

substitute the value of x=-3

-3=3 -----> is not true

therefore

x=-3 is not a solution of the given equation

case 2) we have

x=-3

substitute the value of x=-3

-3=-3 -----> is true

therefore

x=-3 is  a solution of the given equation

case 3) we have

|-x| = 3

substitute the value of x=-3

|-(-3)| = 3

|3| = 3

3=3-----> is true

therefore

x=-3 is a solution of the given equation

case 4) we have

|x| = 3

substitute the value of x=-3

|(-3)| = 3

3=3-----> is true

therefore

x=-3 is a solution of the given equation

case 5) we have

-|x| = 3

substitute the value of x=-3

-|(-3)| = 3

-3=3-----> is not true

therefore

x=-3 is not a solution of the given equation

5 0
4 years ago
Randy won 36 out of 54 games of tic tac toe. what percent of the games did he win
Archy [21]
36/54 = x/100

54x = 100 * 36
54x = 3600
x = 3600 ÷ 54
x = 66.666666.... so 66.67

First put it into a proportion and then cross multiply. After that you divide both sides by 54 to get x alone which gives you 66.66666 which is rounded to 66.67

Answer: 66.67%
7 0
3 years ago
Read 2 more answers
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