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2 years ago

Find the constant of variation for the relationship shown in the following table:

1 answer:

5 0

In order to get the constant of variation, you can either make a linear equation that relates x and y in which the slope is the constant of variation

LINEARIZING

x = 3y

the slope of the equation is 3 and therefore the constant of variation is 3

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Here is a central angle that measures 1.5 radians. Select all true statements. Question 1 options: A) The area of the whole circ

KATRIN_1 [288]

Answer:

D, E

Step-by-step explanation:

The applicable formula is ...

s = rθ

so, for θ = 1.5, the arc length is 1.5 times the radius. The true statements are ...

D) The length of the arc defined by the angle is 1.5 times longer than the radius.

E) The ratio of arc length to radius is 1.5.

8 0

2 years ago

The residents of a certain dormitory have collected the following data: People who live in the dorm can be classified as either

Ad libitum [116K]

Answer:

The steady state proportion for the U (uninvolved) fraction is 0.4.

Step-by-step explanation:

This can be modeled as a Markov chain, with two states:

U: uninvolved

M: matched

The transitions probability matrix is:

$\begin{pmatrix} &U&M\\U&0.85&0.15\\M&0.10&0.90\end{pmatrix}$

The steady state is that satisfies this product of matrixs:

$[\pi] \cdot [P]=[\pi]$

being π the matrix of steady-state proportions and P the transition matrix.

If we multiply, we have:

$(\pi_U,\pi_M)*\begin{pmatrix}0.85&0.15\\0.10&0.90\end{pmatrix}=(\pi_U,\pi_M)$

Now we have to solve this equations

$0.85\pi_U+0.10\pi_M=\pi_U\\\\0.15\pi_U+0.90\pi_M=\pi_M$

We choose one of the equations and solve:

$0.85\pi_U+0.10\pi_M=\pi_U\\\\\pi_M=((1-0.85)/0.10)\pi_U=1.5\pi_U\\\\\\\pi_M+\pi_U=1\\\\1.5\pi_U+\pi_U=1\\\\\pi_U=1/2.5=0.4 \\\\ \pi_M=1.5\pi_U=1.5*0.4=0.6$

Then, the steady state proportion for the U (uninvolved) fraction is 0.4.

4 0

3 years ago

What is the distance between (Negative 5, 4) and (Negative 1, 4)?

Marina CMI [18]

Answer:

4 units

Step-by-step explanation:

It would be 4 units because the units can't be negative if you are asking for the distance between them.

6 0

3 years ago

Read 2 more answers

The linear parent function is always (increasing/decreasing).

Alex73 [517]

Answer:

I'm pretty sure it's increasing

Step-by-step explanation:

because the linear parent function is x=y, no negative signs

6 0

2 years ago

Read 2 more answers

50 Points

ANEK [815]

Answer:

x=5

Step-by-step explanation:

First you have to solve for y. Since it is a isoceles triangle, the two base angles are equal. You dont even need to solve for y because both of them will equal 73. Now you know two of the angles are 73 degrees, 146 in total. Since you know the total degrees in a triangle is 180, set up an equation that is adding all the angles to equal 180. Then solve for x.

Solve:

73+73+(6x+4)=180

146+6x+4=180

150+6x=180

6x=30

x=5

5 0

2 years ago

Read 2 more answers