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statuscvo [17]
3 years ago
5

Noah and Lin are marketing paper cones to hold popcorn to hand out at parent math night. They want the cones to hold 9 cubic inc

hes of popcorn. What are two different possible values for height h and radius r for the cones?
if h=3, then r=


if r=2, then h=
Mathematics
1 answer:
Vadim26 [7]3 years ago
6 0

Answer: r = 1.69 inches

              h = 2.15 inches

Step-by-step explanation: Volume of a solid is the amount of space contained within a solid.

Volume of a cone is directly proportional to radius and height:

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

They want the cones to hold the same volume of 9 cubic inches.

If height is 3:

9=\frac{1}{3}\pi r^{2}3

\pi r^{2}=9

r^{2}=2.864

r = 1.69 inches

When height is 3, radius is 1.69 inches for a cone to have 9 cubic inches of volume.

If radius is 2:

9=\frac{1}{3}\pi (2)^{2}h

h=\frac{9(3)}{4 \pi}

h = 2.15 inches

If radius is 2 inches, height of the cone is 2.15 inches.

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You roll a fair 6-sided die.what is P(roll a 2)?
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Answer:

it would be 1/6 there are a possible of 6 outcomes

Step-by-step explanation:

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3 years ago
Show that the Second Derivative Test is inconclusive when applied to the following function at​ (0,0). Describe the behavior of
morpeh [17]

Answer:

See explanations for step by step procedure to answer

Step-by-step explanation:

Given that;

.f (x comma y )equals 8 x squared y minus 3 Confirm that the function f meets the conditions of the Second Derivative Test by finding f Subscript x Baseline (0 comma 0 )​, f Subscript y Baseline (0 comma 0 )​, and the second partial derivatives of f.

See attached documents for clearity, further explanations and answer

6 0
3 years ago
Nathan has three pieces of wood the first is 9.8 feet in length the second is 7.5 feet in length and the third is 12 feet in len
snow_tiger [21]
9.4 Ft for the first one

7.5 Ft for the second piece

12 Ft for the Third

he uses 5.2 Ft from the first piece of wood so 9.4 - 5.2= 4.6ft
he uses 6.1 ft from the second piece of wood , 7.5 - 6.1 = 1.4 ft
Nathan didnt use any of the 3rd piece of wood , so he still have 12 Feet of wood remaining so, 12+4.6+1.4 = 18 feet of wood left that he didnt use. 
8 0
3 years ago
Given an arithmetic sequence with a3=5 and a5=19, find the 24th term.
krok68 [10]

The 24th term is 152

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

a_n=a+(n-1)d , where

  • a is the first term
  • d is the common difference between consecutive terms

The third term means n = 3

∵ a_3=a+(3-1)d

∴ a_3=a+2d

∵ a_3 = 5

- Equate the right hand sides of the third term

∴ a + 2d = 5 ⇒ (1)

The fifth term means n = 5

∵ a_5=a+(5-1)d

∴ a_5=a+4d

∵ a_5 = 19

- Equate the right hand sides of the fifth term

∴ a + 4d = 19 ⇒ (2)

Now we have a system of equations to solve it

Subtract equation (1) from equation (2) to eliminate a

∴ 2d = 14

- Divide both sides by 2

∴ d = 7

- Substitute the value of d in equation (1) to find a

∵ a + 2(7) = 5

∴ a + 14 = 5

- Subtract 14 from both sides

∴ a = -9

The twenty fourth term means n = 24

∵ a = -9 and d = 7

- Substitute the values of a and d in the formula of the nth term

∴ a_24=-9+(24-1)(7)

∴ a_24=-9+(23)(7)

∴ a_24=-9+161

∴ a_24=152

The 24th term is 152

Learn more:

You can learn more about the arithmetic sequence in brainly.com/question/7221312

#LearnwithBrainly

5 0
3 years ago
The number 0.1111... repeats forever; therefore, it is irrational. True or False.
Rasek [7]
Answer is True. We cannot write it in rational form where both numbers are finite integers. In this case we cannot represent this number as fraction of finite integers therefore it is irrational.
6 0
3 years ago
Read 2 more answers
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