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3 years ago

What is the domain and range of the function graphed below?

Mathematics

1 answer:

Nataliya [291]3 years ago

6 0

Answer:

I think the answer is C.

Step-by-step explanation:

I hope this helps :)

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A researcher wants to run a 2 x 3 mixed factorial design. The first factor is the within-subjects. The second factor is the betw

Elden [556K]

Answer:

3×20= 60.

Step-by-step explanation:

Given:

A researcher wants to run a 2 x 3 mixed factorial design.

1st factor is the subject within

2nd factor is the subject between

Now to calculate how many participants will he need in total

(greater of 2,3)×20

that is

=3×20= 60.

8 0

3 years ago

Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

$r^2-16=0$

with roots $r=\pm4$ , admitting the characteristic solution

$y_c=C_1e^{4t}+C_2e^{-4t}$

From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

$y'(0)=16\implies-16=4C_1-4C_2$

$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

7 0

4 years ago

Change the equation from standard form to slope-intercept form -5x-2y=-3

horrorfan [7]

Answer:Your Mom

<h2>Step-by-step explanation:Cause she is fat No but it srsly is 123</h2>

5 0

3 years ago

How to make four 2's equal 11

Ksju [112]

Answer : 2 = 4/4 + 4/4

3 0

3 years ago

Find the value of x.

slavikrds [6]

Answer:

$x=11$

Step-by-step explanation:

we know that

The <u><em>Midpoint Theorem</em></u> states that the segment joining two sides of a triangle at the midpoints of those sides is parallel to the third side and is half the length of the third side.

In this problem

$(x+5)=\frac{1}{2}(3x-1)$

solve for x

Multiply by 2 both sides

$2x+10=3x-1$

subtract 2x both sides

$10=3x-1-2x$

$10=x-1$

Adds 1 both sides

$x=11$

3 0

3 years ago