Solve for Y(s), the Laplace transform of the solution y(t) to the initial value problem below. 3t y'' - 9y' + 18y = 6t e y(0) = 5, y'(0) = -6 "

Answer:

c

Step-by-step explanation:

ur welcome

Answer: 225 students would have at least one sibling.

Step-by-step explanation:

Three out of four is the same as  3/4 meaning that if there are 300 students in your school then 3/4 times 300 will give the number of students with at least one sibling.  

3/4 * 300 = 225  

This means 225 students would have at least one sibling.

The price of the jeans after the markup is equal to $90.

Generally speaking, the markup price of a product can be calculated by multiplying the cost price by the markup value.

Markup price = 20/100 × 75

Markup\; price = 0.2 × 75

Markup price = $15

Now, we can find the new cost of the jeans after the markup is applied as follows:

New cost = Markup price + Cost price

New cost = $15 + $75

New cost = $90.

In conclusion, we can logically deduce that new cost of the jeans after the markup is applied is 90 dollars.

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A. SAS Inequality Theorem , theorem can be used to prove triangle congruence, as congruent sides and angles can be used to determine the length of the third side, thereby proving congruence.

The SAS Inequality Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the third side of the triangle must be greater in the triangle with the larger included angle.

The SAS Inequality Theorem states that if two sides and the included angle of one triangle are equal to two sides and the included angle of another triangle, then the third side of the triangle must be greater in the triangle with the larger included angle. This theorem is important to remember when comparing similar triangles, as it can help determine which triangle has the greater side length. This theorem can also be used to determine if a triangle is acute or obtuse, as the greater included angle will lead to the longer side being on the opposite side of the triangle. Additionally, this theorem can be used to prove triangle congruence, as congruent sides and angles can be used to determine the length of the third side, thereby proving congruence.

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Answer:

x = 4

Step-by-step explanation:

-7x - 8 = -10x + 4

-7x - 8 + 8 = -10x + 4 + 8

-7x = -10x + 12

-7x + 10x = -10x + 12 + 10x

3x = 12

\(\frac{3x}{3}\) = \(\frac{12}{3}\)

x = 4

Answer:

455666

124

Step-by-step explanation:

0 lol this is funny thanks for free points

Answer:

I think its zero but I'm not sure dude

hope this helps :)

26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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Answer:

(3,2)

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask me in the comments below =)

Answer:

(3,2)

Step-by-step explanation:

The probability that a normal variable takes on values within 0.6 standard deviations of its mean is approximately 0.4514, or 45.14%, when rounded to four decimal places.

For a normal distribution, the probability of a variable falling within a certain range can be determined using the Z-score table, also known as the standard normal table. The Z-score is calculated as (X - μ) / σ, where X is the value, μ is the mean, and σ is the standard deviation. In this case, you are interested in finding the probability that a normal variable takes on values within 0.6 standard deviations of its mean. This means you'll be looking for the area under the normal curve between -0.6 and 0.6 standard deviations from the mean. First, look up the Z-scores for -0.6 and 0.6 in the standard normal table. For -0.6, the table gives a probability of 0.2743, and for 0.6, it gives a probability of 0.7257. To find the probability of the variable falling within this range, subtract the probability of -0.6 from the probability of 0.6:
0.7257 - 0.2743 = 0.4514

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The angle x in the circle is 74 degrees.

The central angle is formed at the centre of a circle due to the intersection of any two radii within the circle.

The central angle of an arc is the central angle subtended by the arc.

The measure of an arc is the measure of its central angle.

Therefore,

x = 74 degrees

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100% = $37,560

18% = ?

(18 × 37560) ÷ 100

= 676,080 ÷ 100

= $6760.8 commission

Answer:

A is the correct answer

Step-by-step explanation:

Answer:

what what what what what what what what

Answer:

4

Step-by-step explanation:

Because the height would be half of the base.

Hope this helps ^-^

Answer:

The solution of the system of equation in coordinate form is (2, 0)

Step-by-step explanation:

The given equation are;

2·x - y = 4....................(1)

5·x + 2·y = 10..............(2)

Multiplying equation (1) by 2 and subtract it from equation (2) gives;

5·x + 2·y - 2 × (2·x - y) = 10 - 2×4

5·x - 4·x + 2·y - 2·y = 2

x = 2

From equation (1), we have 2·x - y = 4, when x = 2, we get;

2×2 - y = 4

y = 2×2 -4 = 0

y = 0

Therefore;

The solution of the system of equation in coordinate form is (2, 0).

Answer:

Step-by-step explanation boi:

Answer:

-√-3

Step-by-step explanation:

Answer:The

Step-by-step explanation \(-\sqrt{-3}\)

The probability of a Becca did a lab experiment on a Friday is 16/70.

When a subject is too intricate to handle with conventional analytical techniques, simulation is a great tool to utilize. A simulation is a method of problem-solving via trial and error.

The simulation that would help answer this question is to assign each marble a day of the week, with 5 different colors representing Monday through Friday.

Then, draw a marble from the hat each time to simulate selecting a random day. Roll a number cube to simulate whether or not a lab experiment was done that day.

Repeat this process for 70 trials and record how many times a lab experiment was done on a Friday. This will help to determine the chances that Becca did a lab experiment on a Friday.

The use of 70 trials is coincidentally the same number as the first 70 days of school. The calendar is deterministic, so there will be exactly 14 Fridays in that period. If, in 70 draws, you get 16 yellow marbles, you can say, "the probability of a Friday is 16/70."

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The inequality that models the question we have here is j > 300

The inequality that models the story is j > 300. This inequality represents the fact that Nancy needs to guess a number greater than 300 in order to win the game.

To graph this inequality, we would start by plotting the point (300,0) on the coordinate plane. Then, we would draw a line extending to the right of that point and add an arrow on the end to indicate that the solution includes all numbers greater than 300.

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Answer: -7.875

Step-by-step explanation:

The probability that Jack will win is 0.00015. The result is obtained by dividing the number of tickets that Jack has by the total number of events.

Probability of an event is calculated by dividing the number of favorable outcomes by the total number of events in the sample space.

In a certain lottery are 100 balls numbered from 1 - 100 in a large basket. Three numbered balls are randomly drawn without replacement. To win the lottery, a player's ticket must have each of the numbers drawn in no particular order.

If jack buys 21 tickets, find the probability that he will win!

In any the order, the different triples of tickets that a player can have can be found by a combination.

The total number of events would be

\(= \: _{100}C_{3}\)

\(= \frac{100!}{3! \:97!} }\)

\(= \frac{98 \times 99 \times 100}{2 \times 3}\)

= 161700 different triples

Jack has 21 tickets. So, the probability that Jack will win is

P = 21/161700

P = 0.00013

Hence, Jack will win with the probability of 0.00013.

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This is because the values of f(x) in the table match the corresponding values obtained by evaluating the polynomial function for the given input values of the function represented by the data a polynomial function is represented by the data is f(x) = x^3 - x^2 - 24.

A polynomial is an expression with more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable. A polynomial function is a function that includes a polynomial expression with an independent variable (x) that can only take on integer values because of its discrete nature.

Choose the function represented by the data: The polynomial function represented by the data is f(x) = x^3 - x^2 - 24.

A table representing the function f(x) = x^3 - x^2 - 24 is shown below:

x | f(x)

0 | -24

1 | -14

2 | 0

4 | 40

Therefore, the function represented by the data is f(x) = x^3 - x^2 - 24.

The provided table displays the values of the function f(x) for different input values of x. By substituting the corresponding values of x into the function, we can observe the corresponding output values. This allows us to identify the pattern and equation that represents the function.

In this case, the table shows that when x is 0, the value of f(x) is -24. When x is 1, f(x) is -14. When x is 2, f(x) is 0. And when x is 4, f(x) is 40.

Based on these data points, we can conclude that the function represented by the data is f(x) = x^3 - x^2 - 24.

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We find that Option 2, f(x) = \((x^3)/4 + 2x^2 - 24\), matches the data given in the table.

Based on the data given in the table, we need to determine the polynomial function that represents the data.
To do this, we can compare the values of f(x) in the table with the given options for the polynomial functions. We are looking for a function that matches the given data points.

Let's evaluate each option using the x-values from the table:
Option 1: f(x) = \(x^3 - x^2 - 24\)
For x = 0,\(f(0) = 0^3 - 0^2 - 24 = -24\) (matches the data)
For x = 1, \(f(1) = 1^3 - 1^2 - 24 = -24 - 1 - 24 = -49\) (does not match the data)
For x = 2,\(f(2) = 2^3 - 2^2 - 24 = 8 - 4 - 24 = -20\) (does not match the data)
Option 2: \(f(x) = (x^3)/4 + 2x^2 - 24\)
For x = 0,\(f(0) = (0^3)/4 + 2(0^2) - 24 = 0 - 0 - 24 = -24\) (matches the data)
For x = 1,\(f(1) = (1^3)/4 + 2(1^2) - 24 = 1/4 + 2 - 24 = -20.75\)(does not match the data)
For x = 2, \(f(2) = (2^3)/4 + 2(2^2) - 24 = 8/4 + 8 - 24 = -14\)(matches the data)
Option 3: f(x) = -24 - 14(3/3)(3/4)
Simplifying, f(x) = -24 - 14(1)(3/4) = -24 - 14(3/4) = -24 - 10.5 = -34.5 (does not match the data)
Option 4: \(f(x) = -2 1/4 * x^2 + 24\)
For x = 0, \(f(0) = -2 1/4 * 0^2 + 24 = 24\) (does not match the data)
For x = 1,\(f(1) = -2 1/4 * 1^2 + 24 = -2 1/4 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = -2 1/4 * 2^2 + 24 = -2 1/4 * 4 + 24 = -9 + 24 = 15\) (does not match the data)
Option 5: \(f(x) = 3/4 * x^2 - 3x + 24\)
For x = 0, \(f(0) = 3/4 * 0^2 - 3(0) + 24 = 24\) (does not match the data)
For x = 1, \(f(1) = 3/4 * 1^2 - 3(1) + 24 = 3/4 - 3 + 24 = 21.75\) (does not match the data)
For x = 2,\(f(2) = 3/4 * 2^2 - 3(2) + 24 = 3/4 * 4 - 6 + 24 = 3 - 6 + 24 = 21\)(matches the data)

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Answer:

The answer is 1086 in³

Step-by-step explanation:

Answer:

Solve for x by simplifying both sides of the equation, then isolating the variable.

x=132,−118

Step-by-step explanation:

Yes, the table contains the solution of the system of equations, and the solution is (7, 6).

Here we have a table that defines a system of equations of the form:

ya = f(x)

yb = f(x)

And a solution of that system is a point of the form:

yb = f(x) = ya

So we wan to find a pair such that for the same value of x, the values of ya and yb are the same ones.

We can see that when x = 6 that happens, then yes, the table has the solution to the system of equations, and the solutions is (6, 7)

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We have that because the central angle is 90°, the sector represents 1/4 of a circle with a radius of 10 yd.

So, length of the safety rail is given by:

Where:

r = 10 yd

pi = 3.14

Substitute, we have:

The Answer is 15.7 yd

Next, area of the deck is given by:

Substitute the values:

The answer is 78.5 yd^2

Answer:

y = 2/3x - 6

Step-by-step explanation:

The line goes down 2 and 3 left. The line crosses the y-intercept at -6.