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LekaFEV [45]
2 years ago
9

Given that h=4, b=10, and r=5, find the area of the unshaded region. Use 3.14 for π as necessary. All answers are expressed in s

quare units.

Mathematics
1 answer:
Y_Kistochka [10]2 years ago
3 0
A = πr² - ¹/₂bh
A = 3.14(5)² - ¹/₂(10)(4)
A = 3.14(25) - ¹/₂(40)
A = 78.5 - 20
A = 58.5 u²
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Ruby has a DRF of 1.95 and a 6-month basic rate of $450. What is her annual
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The answer on this question is D
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2 years ago
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The indicated function y1(x) is a solution of the associated homogeneous equation. Use the method of reduction of order to find
fenix001 [56]

Answer:

y2 = (6x + 7)/36 + (Dx + E)e^x

Step-by-step explanation:

The method of reduction of order is applicable for second-order differential equations.

For a known solution y1 of a 2nd order differential equation, this method assumes a second solution in the form Uy1 which satisfies the said differential equation. It then assumes a reduced order for U'' (w' = U'').

The differential equation becomes easy to solve, and all that is left are integration and substitutions.

Check attachments for the solution to this problem.

6 0
2 years ago
Of all the weld failures in a certain assembly, 85% of them occur in the weld metal itself, and the remaining 15% occur in the b
Aloiza [94]

Answer:

a.) 0.1028

b.) 0.6477

c.) 0.0388

d.) 3

e.) 2.55

Step-by-step explanation:

Forming a binomial Probability distribution

n = 20

Probability of success for Weld metal failure = 85%

Probability of success for base metal failure = 15%

We use the probabilit distribution formula of combination to solve the problem.

P(x=r) = nCr * p^r * q^n-r

a.) if exactly 5 are base metal failures, then p = 15 and our solution becomes:

P(x=5) = 20C5 * 0.15^5 * 0.85^15

P(x=5) = 0.1028

b.) probability that fewer than 4 are base metal failure= P(x=0) + P(x=1) + P(x=2) + P(x=3)

P(x=0) = 20C0 * 0.15^0 * 0.85^20 = 0.0388

P(x=1) = 20C1 * 0.15¹ * 0.85^19 = 0.1368

P(x=2) = 20C2 * 0.15² * 0.85^18 = 0.2293

P(x=3) = 20C3 * 0.15³ * 0.85^17 = 0.2428

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P(x=0) = 0.0388

d.) mean of base metal failures = np = 20*0.15 = 3

e.) standard deviation of base metal failures = √np(1-p)

=3 * (1 - 0.15) = 3 * 0.85

= 2.55

4 0
2 years ago
Use differentials to estimate the amount of paint needed to apply a coat of paint 0.07 cm thick to a hemispherical dome with dia
Sav [38]

Answer:

10.12 m^{3}

Step-by-step explanation:

Given:

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As we know that, the volume of a hemispherical dome with diameter 48 m is:

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Take the derivative of V we have:

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Hope it will find you well.

6 0
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frosja888 [35]

Answer:

The answer is below

Step-by-step explanation:

Let x represent the number of small hat purchased, y represent the number of medium hat purchased and z represent the number of large hat purchased.

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x + y + z = 47    (1)

Also, he spent a total of $302, hence:

5.5x + 6y + 7z = 302     (2)

He purchases three times as many medium hats as small hats, hence:

y = 3x

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Therefore he purchases 6 small hats, 18 medium hats and 23 large hats

5 0
2 years ago
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