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2 years ago

9

Tell me why NOBODY is helping me with my question I just posted Please Don’t answer them for points please The questions are on

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1 answer:

Goryan [66]2 years ago

3 0

Answer:

I Could help :D

Step-by-step explanation:

You might be interested in

The radius of a right circular cylinder is increasing at the rate of 7 in./sec, while the height is decreasing at the rate of 6

Arlecino [84]

Answer:

$\approx \bold{6544\ in^3/sec}$

Step-by-step explanation:

Given:

Rate of change of radius of cylinder:

$\dfrac{dr}{dt} = +7\ in/sec$

(This is increasing rate so positive)

Rate of change of height of cylinder:

$\dfrac{dh}{dt} = -6\ in/sec$

(This is decreasing rate so negative)

To find:

Rate of change of volume when r = 20 inches and h = 16 inches.

Solution:

First of all, let us have a look at the formula for Volume:

$V = \pi r^2h$

Differentiating it w.r.to 't':

$\dfrac{dV}{dt} = \dfrac{d}{dt}(\pi r^2h)$

Let us have a look at the formula:

$1.\ \dfrac{d}{dx} (C.f(x)) = C\dfrac{d(f(x))}{dx} \ \ \ (\text{C is a constant})\\2.\ \dfrac{d}{dx} (f(x).g(x)) = f(x)\dfrac{d}{dx} (g(x))+g(x)\dfrac{d}{dx} (f(x))$

$3.\ \dfrac{dx^n}{dx} = nx^{n-1}$

Applying the two formula for the above differentiation:

$\Rightarrow \dfrac{dV}{dt} = \pi\dfrac{d}{dt}( r^2h)\\\Rightarrow \dfrac{dV}{dt} = \pi h\dfrac{d }{dt}( r^2)+\pi r^2\dfrac{dh }{dt}\\\Rightarrow \dfrac{dV}{dt} = \pi h\times 2r \dfrac{dr }{dt}+\pi r^2\dfrac{dh }{dt}$

Now, putting the values:

$\Rightarrow \dfrac{dV}{dt} = \pi \times 16\times 2\times 20 \times 7+\pi\times 20^2\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 22 \times 16\times 2\times 20 +3.14\times 400\times (-6)\\\Rightarrow \dfrac{dV}{dt} = 14080 -7536\\\Rightarrow \dfrac{dV}{dt} \approx \bold{6544\ in^3/sec}$

So, the answer is: $\approx \bold{6544\ in^3/sec}$

3 0

2 years ago

Show work on 6 divided by 4256

inessss [21]

6 divided by 4256 would result in the decimal 0.00140977443. You just need to do long division and remember to keep the decimal point in place so you don't make a careless mistake. Also you can "divide" by just simply leaving the division problem as a fraction like 6/4256. Hope this helps! Mark as brainliest!

6 0

2 years ago

Read 2 more answers

in june kayla spent all of the $80 she had earned. the difference between her earnings in june and her money remaining from may

docker41 [41]

Answer:

She earned $60

Step-by-step explanation:

Since she had 20 dollars remaining from may, she earned the rest of the money in june so:

80-20=60

7 0

3 years ago

Hi there. I am having trouble with calculating in base 4. The problem is 2014-324=

Arlecino [84]

Answer:

The required answer is $(201)_4-(32)_4=(103)_4$ .

Step-by-step explanation:

Consider the provided numbers:

We need to subtract in base 4.

$(201)_4-(32)_4$

The place value of 201 is:

1 is at units place, 0 is at four's place and 2 is at 4 squared place.

The place value of 32 is:

2 is at units place and 3 is at four's place.

201

- 32

Start subtracting the numbers from the unit place.

Here, we need to subtract 2 from 1, which is not possible so borrow 4 from the four's place but there is 0 at four's place so borrow from 4 squared place and change 2 to 1.

Also change 0 to 4 because we have borrow 4 from squared place.

Now 1 can borrow 4 from the four's place which will become 1+4=5 and change 4 at four's place to 3.

Now the number will look like this:

135

- 32

Now subtract the number as shown.

135

<u>- 32</u>

103

Hence, the required answer is $(201)_4-(32)_4=(103)_4$ .

4 0

3 years ago

The equation of the line of best fit of a scatter plot is y = −5x − 2. What is the slope of the equation?

zvonat [6]

Answer:

SLOPE = -5

Step-by-step explanation:

Because that's what x is.

8 0

3 years ago