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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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?? So lost with this
labwork [276]

Answer:

A)\ 1,\ -1,\ -3\\\\B)\ d=-2\\\\C)\ \left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right\\\\D)\ f(n)=-2n+13

Step-by-step explanation:

It's an arithmetic sequence.

9 = 11 - 2

7 = 9 - 2

5 = 7 - 2

3 = 5 - 2

A) next three terms: 3 - 2 = 1, 1 - 2 = -1, -1 - 2 = -3

B) Common difference = -2

C) Recursive Function:

\left\{\begin{array}{ccc}a_1=11\\a_n=a_{n-1}-2\end{array}\right

D) Explicit Function:

f(n)=a_1+(n-1)d

a₁ - first term

d - common difference

Substitute a₁ = 11 and d = -2:

f(n)=11+(n-1)(-2)=11-2n+2=-2n+13

4 0
4 years ago
Please answer this correctly
likoan [24]

Answer:

$17.81

Step-by-step explanation:

2 (2.65) + 4.5 (2.78)

5.30 + 12.51

17.81

4 0
3 years ago
Type your answer and then click Done
dmitriy555 [2]

Answer:

56 in.

Step-by-step explanation:

2(7)+2(21)=14+42=56

8 0
4 years ago
Describe two methods for finding sale price of an item that is discounted 30%.
drek231 [11]
Idk the answer but just do for fun sorry
8 0
3 years ago
-2 x 4^5 + 18 x 4^5 = ?<br><br> The answer must be in form of a^b. Please explain step by step.
zalisa [80]

Answer:

17*2^11

Step-by-step explanation:

Lets start by remembering two property of power.

x^{m} * x^{n}= x^{n+m}

(x^{m})^{n}= x^{m*n}

That is important to remember since 4= 2^2. Hence, the given problem can be written as the following

-2*(2^{2} )^{5}+9*2^{2}*(2^{2} )^{5}  \\-2*2^{10}+9*2^{2}*2^{10}\\ -2^{11}+9*2^{12}\\ -2^{11}(-1+9*2)=-2^{11} (17)

5 0
4 years ago
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