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castortr0y [4]
3 years ago
12

To the nearest tenth of a cubic inch, how much volume is added to a spherical balloon whose radius grows from 10 to 20 inches lo

ng?
Mathematics
2 answers:
AlekseyPX3 years ago
4 0
First, find the volumes of each figure.
Remember that the volume of a sphere = \frac{4}{3} \pi r^3
Smaller sphere:
\frac{4}{3}\pi*10^3
4188.79 Cubic inches.

Larger sphere:
\frac{4}{3}\pi*20^3
33510.32 Cubic inches.

33510.32 - 4188.79 = 29321.53 cubic inches

Hope that helps!
UNO [17]3 years ago
4 0
First, find the volumes of each figure.
Remember that the volume of a sphere = 
Smaller sphere:

4188.79 Cubic inches.

Larger sphere:

33510.32 Cubic inches.

33510.32 - 4188.79 = 29321.53 cubic inches
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Find the rational zeros of the polynomial function, f(x)= 4x^3-8x^2-19x-7
Dima020 [189]

Answer:

The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  

Step-by-step explanation:

Given polynomial as :

f(x) = 4 x³ - 8 x² - 19 x - 7

Now the ration zero can be find as

\dfrac{\textrm factor of P}{\textrm factor Q} ,

where P is the constant term

And Q is the coefficient of the highest polynomial

So, From given polynomial ,  P = -7 , Q = 4

Now , \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q}

I.e  \dfrac{\textrm factor of \pm P}{\textrm factor of \pm Q} = \frac{\pm 7 , \pm 1}{\pm 4 ,\pm 2,\pm 1 }

Or, The rational zero are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1

Hence The rational zero of the polynomial are \pm \frac{7}{4}, \pm \frac{1}{4},\pm \frac{7}{2},\pm \frac{1}{2},\pm 7,\pm 1  .  Answer

7 0
3 years ago
How to isolate scalars from a matrix
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Answer:

50 people

Step-by-step explanation:

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                            (x, y) = (2, 3)
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