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slavikrds [6]
3 years ago
8

What is the interquartile of 44, 51, 56, 73, 81?

Mathematics
1 answer:
Finger [1]3 years ago
7 0

Answer: 29.5

Step-by-step explanation:

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Please explain this problem!!!​
9966 [12]

tis a little of plain differentiation.

we know the radius of the cone is decreasing at 10 mtr/mins, or namely dr/dt = -10, decreasing, meaning is negative.

we know the volume is decreasing at a rate of 1346 mtr/mins or namely dV/dt = -1346, also negative.

so, when h = 9 and V = 307, what is dh/dt in essence.

we'll be needing the "r" value at that instant, so let's get it

V=\cfrac{1}{3}\pi r^2 h\implies 307=\cfrac{\pi }{3}r^2(9)\implies \sqrt{\cfrac{307}{3\pi }}=r

now let's get the derivative of the volume of the cone

V=\cfrac{1}{3}\pi r^2 h\implies \cfrac{dV}{dt}=\cfrac{\pi }{3}\stackrel{product~rule}{ \left[ \underset{chain~rule}{2r\cdot \cfrac{dr}{dt}}\cdot h+r^2\cdot \cfrac{dh}{dt} \right]} \\\\\\ -1346=\cfrac{\pi }{3}\left[2\sqrt{\cfrac{307}{3\pi }}(-10)(9)~~+ ~~ \cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\right]

-\cfrac{4038}{\pi }=-\cfrac{180\sqrt{307}}{\sqrt{3\pi }}+\cfrac{307}{3\pi } \cdot \cfrac{dh}{dt}\implies \left[ -\cfrac{4038}{\pi }+\cfrac{180\sqrt{307}}{\sqrt{3\pi }} \right]\cfrac{3\pi }{307}=\cfrac{dh}{dt} \\\\\\ -\cfrac{12114}{307}+\cfrac{180\sqrt{3\pi }}{\sqrt{307}}=\cfrac{dh}{dt}\implies -7.920939735970634 \approx \cfrac{dh}{dt}

5 0
2 years ago
Which fraction expresses 36/80 in lowest terms.<br><br> A- 9/20<br> B-18/40<br> C-4/5<br> D- 18/20
gladu [14]
B) is the correct answer.
6 0
3 years ago
Read 2 more answers
Please help!!!! It's due to tm! NO LINK
alexgriva [62]

Answer:

the answer for X is -6

Step-by-step explanation:

g(X)=5/2x -1 and g(X)= - 1

sub -16 on g(X)

-16=5/2x -1

-16+1 = 5/2x

-15 = 5/2x

divide both sides by 5/2

X= -6

4 0
3 years ago
Find the Solution of the system of equations.<br><br> -4x+3y=-21<br> -2x-3y=3
LUCKY_DIMON [66]

Answer:

(3, - 3)

Step-by-step explanation: that might be it

8 0
2 years ago
− 6/b ​−50=-49 what is b
Sedbober [7]

Answer:

-6

Step-by-step explanation:

-6/b-50=-49

step1;collect like terms

-6/b=-49+50

-6/b=1

step2;cross multiply

-6/b=1

-6=1b(1b can also be regarded as b)

b=-6

6 0
3 years ago
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