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xz_007 [3.2K]
3 years ago
7

A prop for the theater club’s play is constructed as a cone topped with a half-sphere. What is the volume of the prop? Round you

r answer to the nearest tenth of a cubic inch. Use 3.14 to approximate pi.
(The cone has a radius of 8 inches and a height of 12 inches.)
Mathematics
1 answer:
IrinaVladis [17]3 years ago
5 0

Answer:

1875.6 in³

Step-by-step explanation:

(⅓×3.14×8²×12) + (⅔×3.14×8³)

1875.626667 in³

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The pet store sells bags of pet food. There are four bags of cat food. 1/6 of the bags of food are cat food. How many bags of pe
nikklg [1K]
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Read 2 more answers
A parabola can be drawn given a focus of (-4,10) and a directrix of y=-4 write the equation of the parabola in any form
sweet-ann [11.9K]

Answer:

(x+4)^2=28(y-3)

Step-by-step explanation:

The directrix of the parabola is the horizontal line with the eqaution y=-4. The focus of the parabola is at point (-4,10), than the axis of symmetry of the parabola is the perpendicular line to the directrix passing through the focus. Its equation is x=-4

The distance between the directrix and the focus is |10-(-4)|=14, so p=14 and the vertex is at point \left(-4,10-\dfrac{14}{2}\right)\rightarrow (-4,3)

Parabola goes in positive y-direction, hence its equation  is

(x-x_0)^2=2p(y-y_0),

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(x+4)^2=28(y-3)

8 0
4 years ago
Solve 1 + 8x = –16 – 2x – 7x.
NeX [460]
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3 0
3 years ago
The function f has first derivative given by f'(x)=(x)^1/2/1+x+x^3. What is the x-coordinate of the inflection point of the grap
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Inflection at f'(x) = 0 
<span>
x^1/2 / (1 + x + x^3) = 0 </span>

<span>The x coordinate is x = 0 </span>
<span>
or "C" from your choices there. </span>

<span>The simplest way is to notice that this happens when x = 0. The reason is you got: </span>
<span>
x^1/2 / (some expression) </span>
<span>
at x = 0 the numerator is 0 so unless the denominator is also 0 the result is 0. </span>
<span>
The denominator for x = 0 is 1 so you get </span>
<span>
0/1 = 0.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
</span>
4 0
3 years ago
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