A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find the time that the rocket will hit the ground, to the nearest 100th of second.
y=-16x^2+187x+93
equation

The given formulas are matched with their corresponding descriptions as follows:

a. S(I – R)-1 - H. This formula is used to find the stable matrix of an absorbing matrix.b. A Col. = Ba2 - B. This formula is used to find the equation of a line given a point and a slope or given two points.c. y = c + C2x - D. This formula is used to find a linear model when more than two data points are given.d. X=A-1.Y - G. This formula is used to find the product matrix given an input-output matrix and a consumer demand matrix.e. N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 - F. This formula is used to find the c values for a polynomial model that has degree n and n+1 data points.f. C=(AT • A)-1.(ATY) - E. This formula is used to find the c values for an overdetermined matrix.g. y-yı = m(x – x4) - A. This formula is used to find a linear model when two data points are given.h. X = (I – A)-1.D - C. This formula is used to help find the stable matrix of an absorbing matrix.

This formula is used to project future outcomes by finding the stable matrix.

a. The formula S(I – R)-1 is used to find the stable matrix of an absorbing matrix, which represents the long-term distribution of a Markov chain.

b. The formula A Col. = Ba2 is used to find the equation of a line given a point and a slope or given two points, allowing us to model linear relationships.

c. The formula y = c + C2x is used to find a linear model when more than two data points are given, enabling us to estimate the relationship between variables.

d. The formula X = A-1.Y is used to find the product matrix given an input-output matrix and a consumer demand matrix, facilitating economic analysis.

e. The formula N.Exy-Ex-2y C2 = m = N-Ex2-(Ex)2 is used to find the c values for a polynomial model that has degree n and n+1 data points, allowing us to fit a polynomial curve to the data.

f. The formula C=(AT • A)-1.(ATY) is used to find the c values for an overdetermined matrix, helping us solve systems of equations with more equations than unknowns.

g. The formula y-yı = m(x – x4) is used to find a linear model when two data points are given, providing a simple equation for a straight line.

h. The formula X = (I – A)-1.D is used to help find the stable matrix of an absorbing matrix, which represents the long-term behavior of a Markov chain.

The statement "This formula is used to project future outcomes by finding the stable matrix" refers to the formula used to find the stable matrix of an absorbing matrix, which allows us to analyze the long-term behavior of a system.

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we know that

A diameter of the circle is a chord that passes through the center

so

In this problem we have that

the diameter are

Answer:

1.) h • g4 • h = 4g•2h

2.) c • 4 • a •b = ab•4c

3.) (40)/(11•a)= (a•11)/40

4.) (20)/(4•x)= (x•4)/20

Step-by-step explanation:

Think of it as adding and flipping :)

Answer:

A strong linear relationship between two or more independent variables

Step-by-step explanation:

Multicolinearity underestimates the statistical significance of the independent variables. It exists when an independent variable is highly correlated with one or many other independent variables giving rise to a large standard error.

Answer:

0.71

Step-by-step explanation:

Answer:

B. 0.71

Step-by-step explanation:

The percentage of the students at the university which are foreign are 25% by conditional probability formula.

According to the question,  10% of all college students are foreign students who also smoke and it is also known that 40% of all foreign college students smoke.

We use the conditional probability formula to solve this question.

Let foreign students be denoted as F

Let students smoking be denoted as S

We know that 10% of all college students are foreign students who also smoke this means

P(F ∩ S) = 0.1

and 40% of all foreign college students smoke which means

P(S/F) = 0.4

So, the percentage of the students at this university who are foreign can be calculated as  

\(P(F) = \frac{0.1}{0.4}\) = 0.25

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Answer:

x = 2, x = 7

Step-by-step explanation:

Given

| 3x - 11 | = x + 3

The absolute value always gives a positive value, however, the expression inside the bars can be positive or negative, thus

3x - 11 = x + 3 or - (3x - 11) = x + 3

Solving both equations

3x - 11 = x + 3 ( subtract x from both sides )

2x - 11 = 3 ( add 11 to both sides )

2x = 14 ( divide both sides by 2 )

x = 7

or

- (3x - 11) = x + 3

- 3x + 11 = x + 3 ( subtract x from both sides )

- 4x + 11 = 3 ( subtract 11 from both sides )

- 4x = - 8 ( divide both sides by - 4 )

x = 2

As a check

Substitute these values into the equation and if both sides are equal then they are the solutions

x = 7

| 3(7) - 11 | = | 21 - 11 | = | 10 | = 10

right side = 7 + 3 = 10 → both sides are equal thus x = 7 is a solution

x = 2

| 3(2) - 11 | = | 6 - 11 | = | - 5 | = 5

right side = 2 + 3 = 5 → both sides are equal thus x = 2 is a solution

The solutions are x = 2, x = 7

To show that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps, we need to demonstrate that for every open set U in X × Y, the sets π₁(U) and π₂(U) are open in X and Y, respectively.

Let U be an open set in X × Y. We can write U as the union of open sets U = U₁ × U₂, where U₁ is an open set in X and U₂ is an open set in Y. Since U is open, every point (x, y) in U has an open neighborhood contained within U.

Now, consider the image of U under the projection map π₁: X × Y → X. The set π₁(U) is the collection of all x-coordinates of the points in U. For any point x' in π₁(U), there exists a point (x', y') in U. Since U is open, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the x-coordinate, N₁, is an open neighborhood of x' contained within π₁(U). Therefore, π₁(U) is open in X.

Similarly, for the projection map π₂: X × Y → Y, we can show that π₂(U) is open in Y. For any point y' in π₂(U), there exists a point (x', y') in U. By a similar argument as above, there exists an open neighborhood N = N₁ × N₂ of (x', y') contained within U. The projection of N onto the y-coordinate, N₂, is an open neighborhood of y' contained within π₂(U). Therefore, π₂(U) is open in Y.

Since this holds for an arbitrary open set U in X × Y, we have shown that the projection maps π₁: X × Y → X and π₂: X × Y → Y are open maps.

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Answer:

c.15+2z/6x-12y

f.7a+b/4a-6b

Step-by-step explanation:

z+1/x-2y - 2x-3/2x-4y + z/3x-6y

z+1/x-2y - 2x-3/2(x-2y) + z/3(x-2y)

6(z+1)-3(2z-3)+2z

15+2z/6x-12y

3a/2a-3b - a+b/2(-3b+2a)

6a+a+b/2(2a-3b)

7a+b/4a-6b

Answer:

1/4= 3/12-1/12 which is 2/12 or 1/6 cuz 3/12 is bigger than -1/12

Step-by-step explanation:

Answer: two twelvths

Step-by-step explanation: 1/4=3/12 and then 1/12=1/12. The dimonimator always stay's the same if they are all or both the same number. so dimonimator is 12 and then 3-1=2 so the numiraitor

Sorry if I did the wrong spelling or the answer!

thanks,vivid1388

The 95% confidence interval for the slope coefficient (b1) is approximately (-0.692, 7.892). This means that we can be 95% confident that the true value of the slope coefficient falls within this interval.

To construct a 95% confidence interval for the slope coefficient (b1), we can use the t-distribution and the standard error of the slope (Sb1). The formula for the confidence interval is:

b1 ± t_critical * Sb1

Given that b1 = 3.6 and Sb1 = 1.7, we need to determine the t_critical value. Since the sample size is n = 18, the degrees of freedom (df) for the t-distribution is n - 2 = 18 - 2 = 16.

Using a significance level of α = 0.05 for a two-tailed test, the t_critical value can be obtained from a t-table or statistical software. For a 95% confidence level with 16 degrees of freedom, the t_critical value is approximately 2.120.

Now we can calculate the confidence interval:

b1 ± t_critical * Sb1

3.6 ± 2.120 * 1.7

Calculating the upper and lower bounds of the confidence interval:

Upper bound: 3.6 + 2.120 * 1.7 = 7.892

Lower bound: 3.6 - 2.120 * 1.7 = -0.692

Therefore, the 95% confidence interval for the slope coefficient (b1) is approximately (-0.692, 7.892). This means that we can be 95% confident that the true value of the slope coefficient falls within this interval.

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The best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

When a triangle is reflected over the y-axis, its vertices swap their x-coordinates while keeping their y-coordinates the same. Let's consider the points F and F' on the reflected triangle.

The line connecting F to F' is the vertical line on the y-axis because the reflection over the y-axis does not change the y-coordinate. The y-axis itself is also a vertical line.

Since both the line connecting F to F' and the y-axis are vertical lines, they are perpendicular to each other. This is because perpendicular lines have slopes that are negative reciprocals of each other, and vertical lines have undefined slopes.

Therefore, the best description of the relationship between the y-axis and the line connecting F to F' after reflection over the y-axis is that they are perpendicular to each other.

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Step-by-step explanation:

\( - 7x - ( - 2) = - 5 \\ - 7x + 2 = - 5 \\ - 7x = - 7 \\ x = 1 \\ \)

Answer:

you can line up the corners of the piece of paper like an roller

Step-by-step explanation:

Answer:

1000 cm^3

Step-by-step explanation:

substitute a = 10 in the formula (given the length of 10 cm) therefore, the volume of the cube is 1000 cm^3

To find the absolute maxima and minima for f(x) = 2x^3 - 3x^2 - 36x - 9 on the interval [-10, 10], follow these steps:

Find the derivative, f'(x), to identify critical points: f'(x) = 6x^2 - 6x - 36. Set f'(x) = 0 and solve for x to find critical points: 6x^2 - 6x - 36 = 0.
3. Factor the equation: 6(x^2 - x - 6) = 0, then solve for x: x = -2, x = 3 (critical points).  Evaluate f(x) at critical points and endpoints: f(-10), f(-2), f(3), f(10). Compare values to find the absolute minimum and maximum:
f(-10) = -909, f(-2) = -19, f(3) = 36, f(10) = 609. Identify absolute minimum (x, y) = (-2, -19) and absolute maximum (x, y) = (10, 609).

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Answer:

A.3

Step-by-step explanation:

the key word is Congruent ^_^

4 games as:

5.59 * 8 = 44.72

178.88/44.72 = 4

Answer = C. 4

Mark as Brainliest please

Answer:

23.8. I think

Step-by-step explanation:

So we already have 2/3 parts of the line, so SQ-RS=QR=23.8. because 68.4 minus 44.6 equals 23.8. Hope this helps.

These equations provide different ways to calculate the value of 'd' based on the values of 'T,' 'a,' 'b,' and 'c.'

It seems like you have provided four equations involving the variable "d." I will break down each equation and explain them separately:

d = (T - a - b - c) / 2

This equation states that "d" is equal to the difference between "T," "a," "b," and "c," divided by 2.

d = T/2 - a - b - c

This equation expresses that "d" is equal to half of "T" minus the sum of "a," "b," and "c."

d = (T + a + b + c) / 2

This equation states that "d" is equal to the sum of "T," "a," "b," and "c," divided by 2.

d = 2(T - a - b - c)

This equation indicates that "d" is equal to twice the difference between "T," "a," "b," and "c."

These equations provide different ways to calculate the value of "d" based on the given variables "T," "a," "b," and "c." Each equation can be used depending on the context and requirements of the problem at hand.

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Answer:

answer below

Step-by-step explanation:

vertical shift up: f(x) + k   (y+k)

U  (-2,2)  --> (-2, 7)

V (-7,2) --> (-7, 7)

S (-8,-5) --> (-8, 0)

T (-4,-5) --> (-4,0)

The equation for the sinusoidal function shown is:

b) y=0.5cos[0.5(x+π)]+1.5



1. The general form of a sinusoidal function is y = A*cos(B(x-C))+D, where A is the amplitude, B is the frequency, C is the phase shift, and D is the vertical shift.

2. In the given equation, the amplitude is 0.5, as it is the coefficient of the cosine function. The amplitude determines the maximum distance the graph reaches from the midline.

3. The frequency is 0.5, as it is the coefficient of x. The frequency is the number of cycles that occur in a given interval.

4. The phase shift is π, which is the value inside the brackets. The phase shift determines the horizontal shift of the graph.

5. The vertical shift is 1.5, as it is the constant term added at the end. The vertical shift determines the vertical movement of the graph.

By plugging in different values for x into the equation, you can generate the corresponding y-values and plot them on a graph to visualize the sinusoidal function.

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Answer: B

Step-by-step explanation:

LJ should corresponds with RQ but it should correspond with PR.

Answer:

B

Segment LJ and Segment RQ

Step-by-step explanation:

look at the congruence statement

JKL≅PQR

as you can see, they do not correspond with one another

and all the other statements are pairs or congruent/corresponding parts

Answer:

51°

Step-by-step explanation:

Note that the square in the angle place = 90°.

Also note, that a complete circle is 360°.

Set the equation. Let the ? be denoted by the variable x:

x + 90+ 124 + 95 = 360

Simplify. Combine like terms:

x + (90 + 124 + 95) = 360

x + (309) = 360

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Subtract 309 from both sides of the equation:

x + 309 (-309) = 360 (-309)

x = 360 - 309

x = 51

51° is your answer.

~

After pouring some water from container A into container B, the new height of the water in both containers will be equal.

When container A is filled with water to the brim, it reaches its maximum capacity. Let's assume the initial height of the water in container A is h.

When some water is poured from container A into container B, the water level in both containers will gradually equalize until they reach the same height. Let's denote this new height as H.

The reason the water levels equalize is due to the principle of fluid equilibrium. When the containers are connected and the water is allowed to flow, the water seeks a common level. This occurs because the pressure at the same height in a fluid is equal.

Therefore, after pouring water from container A to container B, the final height of the water in both containers will be H, which indicates that the water has reached an equilibrium point where the pressure is equal in both containers.

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Answer:

\( 10 \sqrt{2} \)

Step-by-step explanation:

\( \sqrt{200} = \sqrt{100 \times 2} \\ \\ = \sqrt{ {10}^{2} \times 2} = 10 \sqrt{2} \\ \)

A standard deviation the z-score for the male weighing 1600 g is -2.864, and the z-score for the female weighing 1600 g is -2.207.

To determine the weight that is more extreme relative to their respective group to calculate the z-scores for both the male and female weights.

For the male weighing 1600 g:

z = (x - mean) / standard deviation

z = (1600 - 3235.6) / 572.5

z = -2.864

For the female weighing 1600 g:

z = (x - mean) / standard deviation

z = (1600 - 3079.9) / 670.8

z = -2.207

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