Solve for the missing length

To solve the initial value problem using the Laplace transform, we will take the Laplace transform of the differential equation, apply the initial conditions, solve for the transformed function, and then inverse the Laplace transform to find the solution. The solution to the initial value problem is:

Step 1: Take the Laplace transform of the differential equation. Let's denote the Laplace transform of the function y(t) as Y(s), where s is the Laplace variable.

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

s²Y(s) - 4sY(s) + 13Y(s) = 0

Step 2: Rewrite the equation in terms of Y(s) and solve for Y(s).

Y(s)(s² - 4s + 13) = 0

Y(s) = 0   (since s² - 4s + 13 ≠ 0 for any s)

Step 3: Apply the inverse Laplace transform to find the solution in the time domain.

Taking the inverse Laplace transform of Y(s) = 0, we get:

y(t) = 0

So, the solution to the initial value problem is y(t) = 0.

Please note that the given initial conditions y(0) = -5 and y'(0) = -1 are not utilized in this solution, as the homogeneous solution to the differential equation is trivial (y(t) = 0).

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Answer:

$37.50

Step-by-step explanation:

{25(3)}0.50

-25 people times 3 cups for each person= 75

-0.50 times the amount of cups= 37.50

You would make 37 dollars and 50 cents.

Part A: Length = 10 units, Width = 6 units, and Height = 1 unit

Part B: Length = 5 units, Width = 4 units, Height = 3 units

Finding the possible dimensions of a rectangular prism using the number of cubes and the given side lengths of the cubes.

This involves dividing the total number of cubes by the number of cubes in each dimension to determine the possible dimensions.

The concept of factors is also used to determine the possible dimensions without any side lengths of 10 units.

Here we have

Isiah uses exactly 60 cubes to build a rectangular prism. Each cube has side lengths of 1 unit.

Part A:

The total number of cubes used is 60. If the length is 10 and the height is 1, then the remaining cubes (60-10-10=40) can be arranged in a rectangle with a width of 6 units.

Hence,

Length = 10 units

Width = 6 units

Height = 1 unit

Part B:

For a rectangular prism without any side lengths of 10 units, there are many possible combinations of dimensions.

One possible combination is length = 5 units, width = 4 units, and height = 3 units. The total number of cubes used would be 60 (5 x 4 x 3 = 60).

Hence,

Length = 5 units

Width = 4 units

Height = 3 units

Therefore,

Part A: Length = 10 units, Width = 6 units, and Height = 1 unit

Part B: Length = 5 units, Width = 4 units, Height = 3 units

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Answer:

B. 3× 2/4

______________

Answer: a distributive b associative? c addative inverse d communative

Step-by-step explanation:

The points of intersection between the circle and the line are (2/√10,6/√10) and (-2/√10,-6/√10).

The given problem is to find the point of intersection of the circle and the line. The equation of the line is y=3x, which is a straight line passing through the origin, and the equation of the circle is x^2+y^2=16, which is centered at the origin with a radius of 4.

To find the points of intersection between the circle and the line, we need to substitute the equation of the line into the equation of the circle and solve for x.

Substituting y=3x into x^2+y^2=16, we get

x^2+(3x)^2=16 or x^2+9x^2=16 or 10x^2=16 or x^2=16/10 or x=±2/√10.

We can then substitute these values of x into the equation of the line to find the corresponding values of y. When x=2/√10, we get y=3(2/√10)=6/√10, and when x=-2/√10, we get y=3(-2/√10)=-6/√10.

Therefore, the points of intersection between the circle and the line are (2/√10,6/√10) and (-2/√10,-6/√10).

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The earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

a. The earnings per share for Company XYZ can be calculated by dividing the closing price by the P/E ratio. In this case, the closing price is $100.76 and the P/E ratio is 1525. Therefore, the earnings per share can be calculated as $0.066 per share (rounded to the nearest cent).

b. Based on the historical P/E ratio range of 12-14, the stock price of Company XYZ seems overpriced. The P/E ratio indicates the price investors are willing to pay for each dollar of earnings generated by the company. A higher P/E ratio suggests that investors have higher expectations for future earnings growth. In this case, the P/E ratio of 1525 is significantly higher than the historical range of 12-14, indicating that the stock is being valued at a much higher premium relative to its earnings. This suggests that the stock price may be inflated and not in line with the company's historical valuation metrics, indicating an overpriced condition.

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\(k \begin{bmatrix} 2&3\\5&6 \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix}\implies \begin{bmatrix} 2k&3k\\5k&6k \end{bmatrix}~~ = ~~ \begin{bmatrix} 6&9\\15&18 \end{bmatrix} \\\\\\ 2k=6\implies k=\cfrac{6}{2}\implies k=3\)

Answer:

The correct answer is C

Step-by-step explanation:

I took the test and got a 100

Answer:

The length of the hypotenuse is 5.66 ft

Step-by-step explanation:

The triangle is a right isosceles triangle.

Both legs are 4 ft.

Use phytagorean theorem

c^2 = a^2 + b^2

c^2 = 4^2 + 4^2

c^2 = 16 + 16

c^2 = 32

c = √32

c = 5.656854

c = 5.66

The least square regression line implies a mathematical equation that models the relationship between the dependent and independent variables. Hence, it may be used to predict a value of y if the corresponding x value is given. The least square regression line also called the best fit line, gives a mathematical relationship between variables in slope-intercept form.The predicted value of y or x if the corresponding value of either variable is given.

what is regression?

A statistical method called regression links a dependent variable to one or more independent (explanatory) variables. A regression model can demonstrate whether changes in one or more of the explanatory variables are related to changes in the dependent variable.

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Answer:

EC and CB

DC and AC

Angle DCB and Angle ECA

Step-by-step explanation:

Line EC and Line CB both have the same measure of 32ft.

Line DC and Line AC both have the same measure of 28ft.

The angles are the sum of the same measures.

The middle 99.7% of the data in a normal distribution with a mean of 186.4 and a standard deviation of 48.9 can be found by using the empirical rule. The empirical rule states that approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

To find the range of values that represents the middle 99.7% of the data, we need to find the values that are three standard deviations away from the mean in both directions. Since the standard deviation is 48.9, three standard deviations will be 3 x 48.9 = 146.7. Therefore, the range of values that represents the middle 99.7% of the data is (186.4 - 146.7, 186.4 + 146.7), which simplifies to (39.7, 332.1).

In summary, the range of values that represents the middle 99.7% of the data in a normal distribution with a mean of 186.4 and a standard deviation of 48.9 is (39.7, 332.1).

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Answer:

The 1st step.

Step-by-step explanation:

You don't round up the weight in pounds, cause if he's paying $4.75 for 6.50lbs that money is for that weight. If it was 7lbs, he would be paying more than $4.75 for 7lbs. So, because the first step is wrong, the rest of them are wrong.

Answer: Step 4, He should have concluded the cost would be under $35.00

Step-by-step explanation:

I just now took the quiz and got it right.

Stay safe!

Answer:We got 0.56 as the answer when you convert 5/9 to a decimal.

Answer:

7 and 1/2 cups of water.

Step-by-step explanation:

Every 2 cups of rice, you need three cups of water. You make this equation, \(\frac{2}{3} \frac{5}{y}\) and do cross multiplication to get 2y=15, divide that by two and end up with 7 1/2 cups of water.

Answer:

(4,4)

Step-by-step explanation:

The solution set of the system of equations can be found by setting the two equations equal to each other and solving for x.

x^2 - 6x + 12 = 2x - 4

x^2 - 8x + 16 = 0

(x - 4)^2 = 0

x = 4

Since both equations in the system are equal to y, we can substitute x = 4 into either equation to find the corresponding value of y.

y = 2x - 4 = 2(4) - 4 = 4

Therefore, the solution of this system of equations is (4, 4).

Therefore, the correct answer is (4, 4).

It's a fact that the sum of the angles of a triangle add up to 180º.

So, 55º + 85º + (3x+4)º = 180º.

That's the equation you need to solve:

     55 + 85 + 3x+4 = 180    (combine like terms)

                 144 + 3x = 180   (subtract 144 from both sides)

                           3x = 36     (divide both sides by 3)

                             x = 12      (you've got x)

Answer:

(-8,0) (-1,0) (4,0)

Step-by-step explanation:

Just look at where y=0

Answer:

-8, -1 and 4

Step-by-step explanation:

look at where the line meets the x-axis and at what point

Answer:

draw 3cm lines each sides and you get the rectangle

Step-by-step explanation:

it's 3cm because a rectangle has 4 side when you divide 12cm by 4cm you get 3cm

Answer:

y= \(\frac{c-2x}{3}\)

Step-by-step explanation:

2x+3y=C

isolate y

3y=C-2x

y= \(\frac{c-2x}{3}\)

Answer:

option d is the rut answe

Answer: See explanation

Step-by-step explanation:

You didn't give the options but let me help out.

Timothy purchased $11.25 worth of groceries and paid $12.15 after taxes on Monday.

We would solve this using direct proportion.

y = kx.

12.15 = 11.25k

k = 12.15 / 11.25

k = 1.08

Timothy paid $59.13 after taxes on a purchase of groceries that cost $54.75 on Friday.

y = kx.

59.13 = 54.75k

k = 59.13 / 54.75

k = 1.08

The equation that models the relationship will be:

y = 1.08x

Answer:

13u = 26

13*2 = 26

2 is the answer

Answer:

Today: Monday, 12 October 2020

Hour: 09.17 WIB (in Indonesian)

_________________________

13u = 26

u = 26/13

u = 2

First, we can use the points (4,3) and (20,15) to find the slope of the line:

Now we can find the relation function using the point (4,3) and the slope s=3/4

therefore, the equation to describe the relationship between J and M is m=3/4j