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2 years ago

Help me!!!!!!!!! Also, can you tell me how to find the percentage change, i forgot lol

Mathematics

1 answer:

Sergio039 [100]2 years ago

8 0

Answer:

#1 = 10.71% decrease (not sure if you should write -10.71%)

#2 = 49.29% decrease (-49.29%) (-49.30% rounded)

#3 = 5.4% increase

#4 = 34.26% decrease (-34.26%. -34.27 if your teacher wants it rounded.)

Step-by-step explanation:

Original:28

New:25

Increase ÷ Original Number × 100.

28-25 =3

3/28 = 0.1071

0,1071*100= 10.71

Original:21.2

New:10.75

21.2-10.75= 10.45

10.45/21.2 = 0.4929

0.4929*100 = 49.29 (49.30)

Original:37

New:39

difference = 2

2/37 = 0.054

0.054*100 = 5.4

Original: $4.29

New:$2.82

4.29-2.82 = 1.47

1.47/4.29 = 0.3426

0.3426*100 = 34.26 (34.27)

Hope this helps! Have a great day! Also, let me know if it is correct.

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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)

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

(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:

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

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3 years ago

Simplify the radical expression. show all your steps. √363- 3√27

HACTEHA [7]

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2 years ago

The expression below represents the perimeter, in feet, of Manual’s garden.

agasfer [191]

a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as 98 square feet

<h3>What is the perimeter?</h3>

The perimeter is defined as the sum of all the sides of the figure. Now we have The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.

The correct area =15(2x + 7).

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The error in Shawn’s expression is

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Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7

The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as

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= 30x - 30x + 105 - 7

= 98 square feet

To know more about perimeter follow

brainly.com/question/19819849

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Step-by-step explanation:

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