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4 years ago

(a) for what values of k does the function y = cos(kt) satisfy the differential equation 16y'' = −81y?

Mathematics

1 answer:

sesenic [268]4 years ago

3 0

Try this offered solution.Answer: 3/2

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Please help find “b” for me!

svp [43]

Answer:

Step-by-step explanation:

Pythagorean Theorem states that

a² + b² = c²

plug in your terms

9² + b² = 15²

81 + b² = 225

then subtract 81 from 225 to get your b²

b² = 144

then find the square root of 144

the square root is 12 because 12 x 12 = 144

3 0

3 years ago

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8y⁷÷4y⁵ what is this answer

myrzilka [38]

Answer:

Step-by-step explanation:

Terms with the exponents are like terms, we can subtract the exponents from each other when we divide.

(8y^7)/(4y^5) = 2y^(7-5) = 2y^2

4 0

3 years ago

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Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

3 0

3 years ago

Solve the equation |k+6| = 3

IgorC [24]

For k there are 2 answers to this and they are -3 and -9

5 0

3 years ago

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A project has an initial cost of $40,000, expected net cash inflows of $10,000 per year for 8 years, and a cost of capital of 14

ryzh [129]

Answer:

50k

Step-by-step explanation:

7 0

4 years ago