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4 years ago

20. BUSINESS The function f(x) = 1000-0.01x² models the manufacturing cost per item when x items are produced,

Mathematics

1 answer:

tamaranim1 [39]4 years ago

4 0

Answer:

Profit is calculated by subtracting the total cost from the total revenue as expressed in the equation given above as,

P(x) = R(x) - C(x)

If we are to substitute the given expression for each of the terms, we have,

P(x) = x(S(x)) - C(x)

Substituting,

P(x) = x(30 - 0.01x) - (0.15x³ + 0.01x² + 2x + 120)

Simplifying,

P(x) = 30x - 0.01x² - 0.15x³ - 0.01x² - 2x - 120

Combining like terms,

P(x) = -0.15x³ - 0.02x² + 28x - 120

The answer to this item is the second among the choice, number 2.

Read more on Brainly.com - brainly.com/question/6037945#readmore

Step-by-step explanation:

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If the ratio of sides of 2 squares is 3:5, the ratio of their areas is 9:15<br><br>True or False

Kryger [21]

Answer:

The answer is false

Step-by-step explanation:

3.5 x 2=7

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3 years ago

Find the shaded area

grin007 [14]

Answer:

area of big rectangle=l×b=12×18=216cm²

area of smaller square=l²=8²=64cm²

area of shaded area =area of (bigger rectangle-smaller square)=216-64=152cm²

5 0

3 years ago

Having trouble solving this:

kifflom [539]

Answer:

385/500

Step-by-step explanation:

this is the answer I'm pretty sure about it.

6 0

3 years ago

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Find the coordinates of the point on a circle with radius 4 at an angle of 2pi/3

dmitriy555 [2]

Answer:

The coordinates of the point on a circle with radius 4 at an angle of $\frac{2\pi}{3}$ radians are x = -2 and y = 3.464.

Step-by-step explanation:

This problem ask us to determine the rectangular coordinates from polar coordinates. The polar coordinates of the point in rectangular form is expressed by the following expression:

$(x,y) = (r\cdot \cos \theta, r\cdot \sin \theta)$

Where $r$ and $\theta$ are the radius of the circle and the angle of inclination of the point with respect to horizontal, measured in radians. If $r = 4$ and $\theta = \frac{2\pi}{3}\,rad$ , the coordinates of the point are:

$(x,y) = \left(4\cdot \cos \frac{2\pi}{3},4\cdot \sin \frac{2\pi}{3} \right)$

$(x,y) = (-2, 3.464)$

The coordinates of the point on a circle with radius 4 at an angle of $\frac{2\pi}{3}$ radians are x = -2 and y = 3.464.

4 0

4 years ago

The family of solutions to the differential equation y ′ = −4xy3 is y = 1 √ C + 4x2 . Find the solution that satisfies the initi

slega [8]

Answer:

The correct option is 4

Step-by-step explanation:

The solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}$

Now for the initial condition the value of C is calculated as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(-2)=\frac{1}{\sqrt{C+4(-2)^2}}\\4=\frac{1}{\sqrt{C+4(4)}}\\4=\frac{1}{\sqrt{C+16}}\\16=\frac{1}{C+16}\\C+16=\frac{1}{16}\\C=\frac{1}{16}-16$

So the solution is given as

$y(x)=\frac{1}{\sqrt{C+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}$

Simplifying the equation as

$y(x)=\frac{1}{\sqrt{\frac{1}{16}-16+4x^2}}\\y(x)=\frac{1}{\sqrt{\frac{1-256+64x^2}{16}}}\\y(x)=\frac{\sqrt{16}}{\sqrt{{1-256+64x^2}}}\\y(x)=\frac{4}{\sqrt{{1+64(x^2-4)}}}$

So the correct option is 4

8 0

3 years ago

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