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AysviL [449]
3 years ago
7

If y varies inversely with x and y =5 when x=20 find x when y = -4​

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
7 0

Answer:

x=-25

Step-by-step explanation:

Inverse variation

xy =k

We know x and y

20*5 =k

100 =k

So the formula is

x y = 100

We know y = -4

x (-4) = 100

Divide each side by -4

-4x/-4 = 100/-4

x = -25

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A cone has a volume of 5 cubic inches. What is the volume of a cylinder that the cone fits exactly inside of?
DENIUS [597]
The answer is 15 in³.

The volume of the cone is:
V_1= \pi r_1 ^{2}  \frac{h_1}{3} = \frac{ \pi  r_1^{2} h_1}{3}
where:
V₁ - the volume of the cone
r₁ - the radius of the cone
h₁ - the height of the cone

The volume of the cylinder is:
V_2= \pi  r_2h_2^{2}
where:
V₂ - the volume of the cone
r₂ - the radius of the cone
h₂ - the height of the cone

Since <span>the cone fits exactly inside of the cylinder, they have the same radius and the height:
r</span>₁ = r₂
h₁ = h₂

Also:
V₁ = 5

Now, let's write two volume formulas together:
V_1= \frac{ \pi r^{2} h}{3}
<span>V_2= \pi rh^{2}</span>

We can include V₂ into V₁:
V_1= \frac{V_2}{3}

⇒ V_2=3*V_1
V_2=3*5 in^{3}
V_2=15 in^{3}
5 0
3 years ago
If a set contains 15 proper subsets then number of elements in that set​
Sav [38]

Answer

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Step-by-step explanation:

3 0
3 years ago
What is the 185th digit of the following pattern 12345678910111213141516
Sphinxa [80]

Answer:

185

Step-by-step explanation:

1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,2021.22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,40

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2 years ago
Two experiments are to be performed. The first can result in any one of m possible outcomes. If the first experiment results in
Galina-37 [17]

Answer: The first experiment has M probabilities, and the second has I(m) outcomes, that depends on the result of the first.

And lets call m to the result of the first experiment.

If the outcome of the first experiment is 1, then the second experiment has 1 possible outcome.

If the outcome of the first experiment is 2, then the second experiment has 2 possibles outcomes.

If the outcome of the first experiment is M, then the second experiment has M possibles outcomes.

And so on.

So the total number of combinations C is the sum of all the cases, where we exami

1 outcome for m = 1

+

2 outcomes for m=2

+

.

.

.

+

M outcomes for m = M

C = 1 + 2 + 3 + 4 +...´+M

7 0
3 years ago
Write 25 % as a fraction
skad [1K]

Answer:

1 / 4

hope this helps (✿◡‿◡)

7 0
2 years ago
Read 2 more answers
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