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zysi [14]
3 years ago
12

0.97×3000=(0.97×_______)×1000 =_______×1000 =______

Mathematics
1 answer:
jonny [76]3 years ago
5 0
0.97 * 3000

= (0.97 * 3)*1000

= 2.91*1000

 =2910
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Step-by-step explanation:

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2 years ago
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
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kari74 [83]

Answer:

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Step-by-step explanation:

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2 years ago
How much area is left over
LenaWriter [7]
I won't tell you the answer but I'll tell you how to do it

first, find the area of the rectangle (lxw)

Next, find area of the triangle (BxHx.5)

Then, subtract the area of the rectangle to the area of the triangle
5 0
3 years ago
Read 2 more answers
Given g(x) = -x – 4, find g(-5).
riadik2000 [5.3K]

The value of g(-5) from the given. function; g(x) = -x – 4 is; g(-5) = 1

<h3>Evaluation of functions</h3>

The given function is;

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Hence, the value of g(-5) can be obtained by substituting -5 for x in the function as follows;

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Read more on functions;

brainly.com/question/10439235

6 0
3 years ago
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