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kotykmax [81]
3 years ago
15

Factor. 10x^5 − 16x^4 + 4x^2

Mathematics
1 answer:
Licemer1 [7]3 years ago
4 0
We have to find the GCD between 10, 16 and 4 and between x^5, x^4 and x^2

GCD (10,16,4) = 2
GCD (x^5,x^4,x^2) = x^2

So we divide all terms for 2x^2

Final result: 2x^2(5x^3-8x^2+2)
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An ice cube is melting, and the lengths of its sides are decreasing at a rate of 0.8 millimeters per minute At what rate is the
julia-pushkina [17]

Answer:

The rate of decrease is: 43.2mm^3/min

Step-by-step explanation:

Given

l = 18mm

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Required

Rate of decrease when: l = 18mm

The volume of the cube is:

V = l^3

Differentiate

\frac{dV}{dl} = 3l^2

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dV = 3l^2 \cdot dl

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\frac{dV}{dt} = 3l^2 \cdot \frac{dl}{dt}

Given that: l = 18mm and \frac{dl}{dt} = -0.8mm/min

\frac{dV}{dt} = 3 * (18mm)^2 * (-0.8mm/min)

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4 years ago
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A rectangular flour canister has dimensions of 512 inches by 4 inches by 10 inches. A smaller sugar canister has dimensions of 3
aliina [53]

Answer:

The amount by which the sugar canister is smaller than the flour canister is 136 in³

Step-by-step explanation:

The dimensions of the flour canister = 5 and 1/2 inches by 4 inches by 10 inches

(5 and 1/2 = (5 1/2))

(3 and 1/2 = (3 1/2))

The dimensions of the smaller sugar canister = 3 and 1/2 inches by 3 inches by 8 inches

The volume of the rectangular prism = Length × Width × Height

∴ The volume of the flour canister = (5 1/2) × 4× 10 = 220 in.³

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The difference in volume between the flour canister and the sugar canister is given as follows;

220 in.³ - 84 in.³ = 136 in.³

The amount by which the sugar canister is smaller than the flour canister = 136 in.³.

5 0
3 years ago
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