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wlad13 [49]
3 years ago
10

0" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Harman [31]3 years ago
6 0

Answer:

x = -7/2 multiplicity 2.

Step-by-step explanation:

 4x^2 + 28x + 49 = 0

(2x + 7)(2x + 7) = 0

This is a perfect square.

2x + 7 = 0, so:

x = -7/2 multiplicity 2.

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Answer:

Step-by-step explanation:

both sides are the same length so 20+6x+3=18+7x+2

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$1200 is invested at 3% compounded quarterly. What is the total amount, to the nearest dollar, after 5 years?
Mekhanik [1.2K]
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the volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of
FrozenT [24]

Answer:

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

so

z^{3}=\frac{x}{y}

we have

z=1/2 ----> scale factor

substitute

(1/2)^{3}=\frac{x}{y}

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x=\frac{y}{8}

therefore

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Verify

The volume of the original sphere is

r=18/2=9\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}

the volume of the reduced sphere is

r=9/2=4.5\ cm ---> the radius is half the diameter

V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}

Divide the volumes

972\pi \ cm^{3}/121.5\pi \ cm^{3}=8

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Answer:

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