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Fed [463]
3 years ago
6

A spherical chocolate candy is being manufactured that has nougat center. The entire candy has a diameter of 9cm and the nougat

center has a diameter of 4cm. What is the volume of the chocolate portion of the candy
Mathematics
1 answer:
zhuklara [117]3 years ago
7 0
That would be the volume of the total shape minus the volume of the center.

V=(4πR^3)/3-(4πr^3)/3

V=(4π/3)(R^3-r^3), since R=9/2=4.5 and r=4/2=2 we have:

V=(4π/3)(4.5^3-2^3)

V=(4π/3)(91.125-8)

V=(4π/3)(83.125)

V=332.5π/3 cm^3

V≈348.19 cm^3 (to nearest hundredth of a ml or cubic centimeter)
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Evaluate: 2|x-4|+6 for x=2
Lina20 [59]
<h3>Answer:</h3>

10

<h3>Step-by-step explanation:</h3>

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3 years ago
The Patterson family has 3 kids, 1 boy and 2 girls. Suppose that for each birth, the probability of a boy birth is 1/2, and the
elena-14-01-66 [18.8K]

Answer:

Probability = \frac{1}{8}

Step-by-step explanation:

Given

Represent Boys with B and Girls with G

P(B) = \frac{1}{2}

P(G) = \frac{1}{2}

Required

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Since the order is not important, the probability is calculated as follows;

Probability = P(B) * P(G) * P(G)

Substitute \frac{1}{2} for P(B) and P(G)

Probability = \frac{1}{2} * \frac{1}{2} * \frac{1}{2}

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<em>Hence, the fractional probability is </em>\frac{1}{8}<em></em>

<em></em>

7 0
3 years ago
Factor f(x) = 4x3 + 15x2 – 24x + 5 into linear factors given that - 5 is a zero of f(x).15f(x) = 4x3 + 15x2 - 24x + 5 =(Factor c
Basile [38]

If x=-5 is a zero, then the first factor of the polynomial would be (x + 5 )

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Using synthetic division, we have:

-5 I 4 15 -24 5 (Coefficients of the dividend)

I -20 25 -5 (Multiplying each coefficient by the results of the substraction and adding)

-----------------------------------------------------------------------------------

4 -5 1 0 (Coefficients of the quotient)

The result of the division is 4x^2 - 5x + 1. Factoring it, we have:

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4x (x - 1) - (x -1) (Factoring each pair of terms)

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So the answer would be:

(x + 5 )(x-1)(4x-1)

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9 months ago
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