write the equation of the circle graph below?????

Answer: Materials sink in water depending on how  heavy they are. It is about how heavy something is compared to the same amount (volume) of water. This ratio of an object’s mass to its volume is known as density. Density is what really determines whether something will sink or float.

a. To solve the initial value problem using Laplace transforms, we start by taking the Laplace transform of both sides of the given differential equation. The Laplace transform of y(t) is denoted as Y(s). The Laplace transform of the second derivative y"(t) can be expressed as s²Y(s) - sy(0) - y'(0), where y(0) and y'(0) are the initial conditions. The Laplace transform of 48t is simply 48/s².

Applying the Laplace transform to the given differential equation, we get:

s²Y(s) - sy(0) - y'(0) + 16Y(s) = 48/s²

Substituting the initial conditions y(0) = 5 and y'(0) = 2, we have:

s²Y(s) - s(5) - 2 + 16Y(s) = 48/s²

Simplifying this equation gives the corresponding algebraic equation in terms of Y(s).

b. Now, we solve the equation obtained in part (a) for Y(s). Rearranging the terms, we have:

(s² + 16)Y(s) = 48/s² + s(5) + 2

Combining like terms, we get:

(s² + 16)Y(s) = (48 + 5s² + 2s) / s²

Dividing both sides by (s² + 16), we obtain:

Y(s) = (48 + 5s² + 2s) / (s²(s² + 16))

So, Y(s) is equal to the Laplace transform of y(t).

c. To find y(t), we take the inverse Laplace transform of Y(s) obtained in part (b). We can use partial fraction decomposition and the properties of Laplace transforms to simplify the expression and find the inverse Laplace transform.

Taking the inverse Laplace transform of Y(s), we find:

y(t) = L^(-1){Y(s)} = L^(-1){(48 + 5s² + 2s) / (s²(s² + 16))}

The inverse Laplace transform can be calculated using tables or software, and it yields the solution y(t) to the initial value problem.

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Answer : The probability of the given event occurring would be 0.75 or 75%.

Explanation :The given problem states that you ordered eighteen burritos, with nine having hot peppers and nine not having hot peppers. However, the restaurant forgot your order. We are supposed to find the probability of the event happening.

Let the probability of getting a burrito with hot peppers be P(h) and the probability of getting a burrito without hot peppers be P(n).

The total number of burritos ordered is 18.

Thus, P(h) + P(n) = 18. We can assume that all burritos are the same.

Thus, P(h) = 9/18 = 0.5 and P(n) = 9/18 = 0.5.

Therefore, the probability of getting an order that is incorrect would be: 1 - (0.5 * 0.5) = 1 - 0.25 = 0.75 or 75%. Therefore, the probability of the given event occurring would be 0.75 or 75%.

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Answer:

4) -3

Step-by-step explanation:

The minimum y value of this absolute value function is -3

Answer:

I don't think it is correct.

Step-by-step explanation:

Square root just means half of a number. If you square this number, it just goes back to it's original form, just without the square root sign. But however, You must square the 10 at the end of the equation as well. This solution is not correct.

Answer:

the area is 42 square units

Step-by-step explanation:

lets break it down

12 x 1 = 12

12 x 5 = 60

60 / 2 = 30

12 + 30 = 42

Answer: Height of tree = 26 ft

Make a triangle ABC with 40 degrees angle. The shadow is the base of the triangle equals 31 feet.

Base = AC = 31

Perpendicular = CB = ?

Hypotenuse = AB

Using trigonometric equation

tan 40 (deg) = CB / AC

CB = Tan 40 x AC

CB = 0.83909 x 31

CB = 26.011

Thus the height of the tree = 26 ft

The conic section has focus ( - 1, -3), directrix 2 = 3, then it is a parabola.

For a parabola, the focus and directrix play important roles in determining its shape. The distance between a point on the parabola and the focus is equal to the perpendicular distance between that point and the directrix.

Let's calculate the distances and verify if they are equal:

Distance between the point (2, -7) and the focus (-1, -3):

d₁ = √[(2 - (-1))² + (-7 - (-3))²] = √[9 + 16] = √25 = 5

Distance between the point (2, -7) and the directrix 2 = 3:

d₂ = |y - directrix| = |(-7) - 3| = |-10| = 10

Since d₁ ≠ d₂, we can conclude that the conic section cannot be an ellipse.

In an ellipse, the sum of the distances from any point on the ellipse to the two foci is constant. However, in this case, the distances are not equal.

Similarly, for a hyperbola, the difference between the distances from any point on the hyperbola to the two foci is constant. Since the distances are not equal in this case, we can also rule out a hyperbola.

Therefore, based on the given information, the conic section is a parabola.

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Let θ be an angle in quadrant iii such that = cosθ − 45, the exact values of csc θ and tan θ are 5/3 and -3/4 respectively.

As an angle θ is in quadrant III, and cosθ = -4/5

To identify the exact value of cscθ and tanθ, we will first calculate the value of sinθ by using the Pythagorean identity

sin²θ + cos²θ = 1

⇒ sin²θ + (-4/5)² = 1

⇒ sin²θ = 1 - (-4/5)² = 1 - 16/25 = 9/25

⇒ sinθ = √(9/25) = 3/5

Now, we can calculate the value of cscθ as

cscθ = 1/sinθ = 1/(3/5) = 5/3

Next, we can estimate the value of tanθ by using the identity

tanθ = sinθ/cosθ= (3/5) / (-4/5) = -3/4

Therefore, the exact values of cscθ and tanθ are

cscθ = 5/3 and tanθ = -3/4.

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Answer:

∠ N = 31°

Step-by-step explanation:

The inscribed angle KLN is half the measure of its intercepted arc KL, so

∠ N = [tex]\frac{1}{2}[/tex] × 62° = 31°

Answer:

41.5 Yards

Step-by-step explanation:8 3/10 * 4 = 33.2,

33.2+8 3/10 = 41.5

Answer:

c or d sorry if I'm wrong

Step-by-step explanation:

I think it's your d because of the shortest answers and they're the only two that makes sense

Answer:

48°

Step-by-step explanation:

We solve the above question using circle theorem.

Finding x

The formula is given as

x = 1/2 (150° - 54°)

x = 1/2 (96)°

x = 48°

I think the anwser is c -2 and 9

Answer:

Slope of line is 0 and intercept is 7 Step-by-step explanation:

Answer:

C

Step-by-step explanation:

When 3 is squared, it becomes 9. That means that both A and B are incorrect.

The powers on u and v are doubled not added to become u^6 and v^8 so that makes C the only possible answer.

Answer:

not telling u, imbecil

Step-by-step explanation:

hahhahahahah

Answer:

radius=6

Step-by-step explanation:

Answer:

a = 18.8

Step-by-step explanation:

With it being a right angle, you can use the pythagorean theorem equation.

[tex]a^{2} + b^{2} =c^{2} \\a^{2} + 18^{2} =26^{2} \\a^{2} +324 = 676\\a^{2} = 676 - 324 \\a^{2} = 352\\a = \sqrt{352} \\a = 18.76 = 18.8[/tex]

Answer:

Step-by-step explanation:

The (s - 1)2F(s - 1) - (s - 1) option matches the given function (option B).

Let's go through the options one by one to determine the correct answer.

Option A: s-F(s) - s

This option doesn't match the given function.

Option B: (s - 1)2F(s - 1) - (s - 1)

This option matches the given function.

Option C: (s2 - 1)F(s) - s + 1

This option doesn't match the given function.

Option D: sF(s - 1) - 5 - 1

This option doesn't match the given function.

Option E: (s - 1)F(s - 1) - s

This option doesn't match the given function.

Based on the given function, the correct answer is Option B: (s - 1)2F(s - 1) - (s - 1).

Regarding the second question, the Existence and Uniqueness Theorem guarantees the existence and uniqueness of a solution passing through a given point (x0, y0) only if the function is continuous and satisfies certain conditions. None of the provided options mention the function's continuity or satisfy the conditions for the Existence and Uniqueness Theorem. Therefore, none of the options can be determined as having a unique solution passing through the point (2, 4).

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Answer: The answer is 3

Step-by-step explanation:

Hope this helps you! Have a good day! :)

Answer: 73.4

Step-by-step explanation:

To find the mean, you add up all your data value then divide the sum by the # of values in the set.

58 + 72 + 74 + 92 + 84 + 40 + 74 + 81 + 76 + 83

= 734

There are 10 numbers in the set.

734  ÷ 10 = 73.4

The mean score on Mr. Shenton's final exam is 73.4

Answer:

60 seconds

Step-by-step explanation:

Answer: 22.44

Step-by-step explanation:

Base × Height /2 → (3 × 2.24)/2

3.36 · 4 = 13.44

13.44 + 3²

22.44