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Eduardwww [97]
3 years ago
13

When purchased, a plastic beach ball is deflated and packaged flat. The package states that when inflated to its maximum capacit

y, the radius of the inflated ball is 8.5 inches. To the nearest cubic inch, how much air will occupy the space contained by the inflated beach ball? Use 3.14 to approximate . In your final answer, include your calculations.
Mathematics
1 answer:
Zigmanuir [339]3 years ago
6 0
So  the formula for a volume of a sphere is 4/3 times pi times the radius cubed.
step one: 4/3 times 3.14 = 4.18666666667
Step two: then you cube 8.5 and get 592.45
the final answer is 2,480.3906 

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What are two ways that you can find the surface area of a prism
3241004551 [841]

Answer:


Step-by-step explanation:


4 0
3 years ago
Cary sets up a checking account with an initial balance of $27,700, and the rent for her
jek_recluse [69]

Answer:

$1,650

Step-by-step explanation:

First, we need to find how much she paid the whole year. 27,700-x=7900. If we subtract 7900 from each side and add x to each side, we get 19,800=x. Therefore, she paid $19,800 in rent the whole year. Since there are 12 months in a year, and each month she paid the same, she paid $1,650 in rent each year, for 19800/12=1650

5 0
2 years ago
Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. Call t
makvit [3.9K]

Answer:

The solve of that problem is that Hernry invested $18.000 in stocks and $6.000 in bonds.

Step-by-step explanation:

First, to explain you have to do a multiplication about 6 on three. Like three times more than bonds, the result is 18. Then you have to do a  subtraction on $24.000 less $18.000, and the result is $6.000, so six is the amount on bonds. And is three times less than stocks, like the questions ask.

4 0
3 years ago
Read 3 more answers
Need help ASAP, I am stuck on this question and need an answer
olga nikolaevna [1]

For an increase of 15% you would add the increase percentage to 1 and multiply that by number of years.

So the multiplication rate would be 1.15

The answers are cut off in the picture, but the one with 1.15 is the top left answer.

3 0
3 years ago
Find the equation of the tangent line to the curve <br> 2exy=x+y at (0,2).
DiKsa [7]

Answer:

The equation of the tangent line to the curve

3 x - y = 2

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given function  = f(x,y) = 2e^{xy} -x-y=0   ...(i)

Differentiating equation (i) with respective to 'x' , we get

2 e^{xy} \frac{d}{d x} (x y) -1 -\frac{dy}{dx} =0

apply  formula

\frac{d}{dx} (UV) = UV^{l} +V U^{l}

<u><em>step(ii):-</em></u>

⇒   2 e^{xy} (x(\frac{d}{d x} ( y))+y(1)) -1 -\frac{dy}{dx} =0

⇒ 2 e^{xy} (x(\frac{d}{d x} ( y))+ 2e^{xy} y(1)) -1 -\frac{dy}{dx} =0

Taking common d y/d x

(2 e^{xy} (x) -1)\frac{dy}{dx} =1- 2e^{x y} y(1))

\frac{dy}{dx} =\frac{1- 2e^{x y} y(1))}{(2 e^{xy} (x) -1)}

put At (0,2)

\frac{dy}{dx} =\frac{1- 2e^{0} 2(1))}{(2 e^{0} (0) -1)}=\frac{1-4}{-1} =3

slope of the curve m = 3

<u><em>Step(iii)</em></u>:-

The equation of the tangent line to the curve

y-y_{1} =m(x-x_{1} )

y - 2 = 3 ( x - 0 )

3 x - y = 2

<u><em>Final answer:-</em></u>

The equation of the tangent line to the curve

3 x - y = 2

8 0
3 years ago
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