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2 years ago

Identify a pattern in the given list of numbers. Then use this pattern to find the next number. 17,7,-3,-13,-23

Mathematics

1 answer:

notka56 [123]2 years ago

4 0

Answer:

-33

Step-by-step explanation:

The sequence is descending so the nth term would be -10n and the 0 term would be 27 so the nth term for the sequence would be -10n +27.

The question asks you to find the 6th term so (-10 x 6) + 27 = -60 + 27 = -33

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The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.

Ber [7]

Answer:

Part 1) The volume of the object is $32\pi\ cm^{3}$ or $100.48\ cm^{3}$

Part 2) see the procedure

Step-by-step explanation:

The picture of the question in the attached figure

Part 1) What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

$V=\frac{1}{3}\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=3\ cm$

substitute the values

$V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}$

Find the volume of the cylinder

The volume of the cylinder is equal to

$V=\pi r^{2} h$

we have

$r=4/2=2\ cm$ -----> the radius is half the diameter

$h=(10-3)=7\ cm$

substitute the values

$V=\pi (2^{2})(7)=28\pi\ cm^{3}$

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

$4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3}$ ------> exact value

Find the approximate value of the volume

assume

$\pi=3.14$

$32(3.14)=100.48\ cm^{3}$

7 0

3 years ago

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PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Nikitich [7]

Answer: B. (-4, 0)

Step-by-step explanation:

The question is: when is the function constant?

function is also called f(x), which is also called "y".

So the question is asking: when is the y-value constant?

the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)

7 0

3 years ago

I’m horrible at geometry, help please?

Korvikt [17]

Answer:

Longest side = 13 inches

Step-by-step explanation:

Perimeter of triangle = 30 inches

x + 4x - 8 + 2x +3 = 30

x + 4x + 2x - 8 + 3 = 30

7x - 5 = 30

7x = 30 + 5

7x = 35

x = 35/7

x = 5

Longest side is the hypotenuse.

Longest side = 2x + 3 = 2*5 + 3 = 10 + 3 = 13 inches

4 0

3 years ago

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Please answer and thank you

trapecia [35]

Step-by-step explanation:

hope this will help you have a good day!

6 0

3 years ago

HELP ASAP PLEASE Solve for x -3/4 (x + 2) = 6

igomit [66]

Answer:

Step-by-step explanation:

7 0

3 years ago

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