Which relationship between x and y in the equation shows a proportional relationship?

A survey of Micki’s customers showed that 1,800 out of 2,200 of the customers buying carrots would buy organic carrots if the ca

IRISSAK [1]

Answer:

c

Step-by-step explanation:

8 0

3 years ago

Evaluate using integration by parts

PolarNik [594]

Rather than carrying out IBP several times, let's establish a more general result. Let

$I(n)=\displaystyle\int x^ne^x\,\mathrm dx$

One round of IBP, setting

$u=x^n\implies\mathrm du=nx^{n-1}\,\mathrm dx$

$\mathrm dv=e^x\,\mathrm dx\implies v=e^x$

gives

$\displaystyle I(n)=x^ne^x-n\int x^{n-1}e^x\,\mathrm dx$

$I(n)=x^ne^x-nI(n-1)$

This is called a power-reduction formula. We could try solving for $I(n)$ explicitly, but no need. $n=5$ is small enough to just expand $I(5)$ as much as we need to.

$I(5)=x^5e^x-5I(4)$

$I(5)=x^5e^x-5(x^4e^x-4I(3))=(x-5)x^4e^x+20I(3)$

$I(5)=(x-5)x^4e^x+20(x^3e^x-3I(2))=(x^2-5x+20)x^3e^x-60I(2)$

$I(5)=(x^2-5x+20)x^3e^x-60(x^2e^x-2I(1))=(x^3-5x^2+20x-60)x^2e^x+120I(1)$

$I(5)=(x^3-5x^2+20x-60)x^2e^x+120(xe^x-I(0))$

Finally,

$I(0)=\displaystyle\int e^x\,\mathrm dx=e^x+C$

so we end up with

$I(5)=(x^4-5x^3+20x^2-60x+120)xe^x-120e^x+C$

$I(5)=(x^5-5x^4+20x^3-60x^2+120x-120)e^x+C$

and the antiderivative is

$\displaystyle\int2x^5e^x\,\mathrm dx=(2x^5-10x^4+40x^3-120x^2+240x-240)e^x+C$

8 0

3 years ago

I still need help with similar question

KatRina [158]

Step-by-step explanation:

Step 1: Determine the axis of symmetry

The axis of symmetry is middle of the parabola. In this equation we see that at x = -1 we have the vertex and also the middle of the parabola. So our axis of symmetry is x = -1.

Step 2: Determine the vertex

The vertex is the minimum or maximum of a parabola and is bent in a crest form. In this example the vertex is at (-1, -3) because we are using the tip of the graph.

Step 3: Determine the y-intercept

The y-intercept is where the graph intersects with the y-axis. In this example we intersect the y-axis at -4 so that means that our point would be (0, -4) meaning that we intersect x = 0 at -4.

Step 4: Determine if the vertex is a min or max

Looking at the graph we can see that the rest of the red line is beneath the vertex point which means that the vertex is a max.

Step 5: Determine the domain

The domain is the x-values that we are going to be using and we know that we are reaching toward positive and negative inifity which means that we are using all real numbers.

Step 6: Determine the range

The range is the y axis and what y values we are able to reach using the graph. In this example we can see that all y-values above -3 are not being used therefore the range is $y \leq -3$

3 0

2 years ago

Which of the following best explains why tan5π/6 ≠ tan5π/3

Kobotan [32]

Answer:

The angles do not have the same reference angle.

Step-by-step explanation:

1) Angle 5π / 3 radians:

Convert radians to degrees: 5π/3 × 180° / π = 300°

300° is in the fourth quadrant

The reference angle for angles in the fourth quadrant is 360° - angle ⇒ 360° - 300° = 60°.

∴ The reference angle for this angle is 60°.

2) Angle 5π / 6 radians:

Convert radians to degrees: 5π/6 × 180° / π = 150°

150° is in the second quadrant

The reference angle for angles in the second quadrant is 180° - angle ⇒ 180° - 150° = 30°.

∴ The reference angle for this angle is 30°.

3) Conclusion:

Since the reference angles are different, the tangent ratios have different values.

tan (5π/3) = - tan(60°) = - √3

tan (5π/6) = - tan(30°) = - (√3)/3

Note that the tangent is negative in both second and fourth quadrants.

If correct please give brainliest

Stay safe and healthy

Thank You

3 0

3 years ago

Select the most precise name of quadrilateral MNOP given the coordinates of M, N, O, and P.

Harman [31]

Answer:

Square

Step-by-step explanation:

It has four coordinates which means four vertices which is four sides. Can also be a rectangle or parallelogram.

.

3 0

3 years ago

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