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Andrew [12]
3 years ago
15

Factor:14x3 – 21x

Mathematics
1 answer:
Vlada [557]3 years ago
7 0
7x (2x^2 - 3) is your answer my dude/lady
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Prime factorization of:<br><br><br> 1,000
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2 × 2 × 2 × 5 × 5 × 5

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To increase or decrease an amount by 30% what single multiplier would you use?
Nataly_w [17]
100%-30%=70%
100%+30%=130%

to decrese by 30%, multiply by 70%
to increase by 30%, multiply by 130%

5 0
3 years ago
Read 2 more answers
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 yo
san4es73 [151]

The volume of the prop is calculated to be 1,875.6 cubic cm.

Step-by-step explanation:

Step 1; The prop consists of a cone and a half-sphere on top. We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2; The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.14. The radius is 8 cm and the height is 12 cm.

The volume of the cone = \frac{1}{3} × 3.14 × 8 × 8 × 12 = 803.84 cubic cm.

Step 3; The area of a half-sphere is half of a full sphere. The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³). Here the radius is 8cm. We take π as 3.14.

The volume of a full sphere = \frac{4}{3} × 3.14 × r³ = \frac{4}{3} × π × 8³ = 2,143.5733 cubic cm.

The volume of a half-sphere = \frac{ 2,143.5733}{2} = 1,071.7866 cubic cm.

Step 4; The total volume = The volume of the cone + The volume of the half sphere,

The total volume = 803.84 cubic cm + 1,071.7866 cubic cm = 1,875.6266 cubic cm. By rounding this off to the nearest tenth we get 1,875.6 cubic cm.

4 0
3 years ago
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