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Alina [70]
3 years ago
5

The equation for the cost in dollars of producing computer chips is y =.000015x^2-.03x+35. Where x is the number of chips produc

ed . Find the number of chips that minimizes the cost. What is the cost for that number of chips?
Mathematics
1 answer:
Anna35 [415]3 years ago
6 0
In order to find the number of chips that would result in the minimum cost, we take the first derivative of the given equation. Note that the derivative refers to the slope of the graph at a given point. We can utilize this concept knowing that at the minimum or maximum point of a graph, the slope is zero. 

Taking the derivative of the given equation and equating it to zero, we have:

y' = (0.000015)(2)x - (0.03)x° + 0
0 = (0.00003)x - 0.03

Solving for x or the number of chips produced, we have x = 1000. We then substitute this value in the given equation, such that,

y = (0.000015)(1000)² - (0.03)(1000) + 35

The minimized cost, y, to produce 1000 chips is then calculated to be $20. 
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Step-by-step explanation:

1. 1/4+2/8 (common denominators)

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   6/12+3/12= 9/12


3 0
3 years ago
Combine like terms.
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6 0
3 years ago
Help me with this question <br> Please I need help
34kurt

Answer:

384 cm²

Step-by-step explanation:

The shape of the figure given in the question above is simply a combined shape of parallelogram and rectangle.

To obtain the area of the figure, we shall determine the area of the parallelogram and rectangle. This can be obtained as follow:

For parallelogram:

Height (H) = 7.5 cm

Base (B) = 24 cm

Area of parallelogram (A₁) =?

A₁ = B × H

A₁ = 24 × 7.5

A₁ = 180 cm²

For rectangle:

Length (L) = 24 cm

Width (W) = 8.5 cm

Area of rectangle (A₂) =?

A₂ = L × W

A₂ = 24 × 8.5

A₂ = 204 cm²

Finally, we shall determine the area of the shape.

Area of parallelogram (A₁) = 180 cm²

Area of rectangle (A₂) = 204 cm²

Area of figure (A)

A = A₁ + A₂

A = 180 + 204

A = 384 cm²

Therefore, the area of the figure is 384 cm²

3 0
3 years ago
!!! Help ASAP please!!!!In DEF, sin D = 24/26 What is cos E?
Georgia [21]

Answer:

A

Step-by-step explanation:

Cosine is the ratio of "adjacent" to "hypotenuse"

With respect to the Angle E, the adjacent side is FE and the hypotenuse (always opposite side to 90 degree angle) is DE.

We are given DE = 26, but we need FE. We will solve for FE using Pythagorean Theorem, which tells us:

leg^2 + another leg^2 = hypotenuse^2

So, we will have:

10^2 + FE^2 = 26^2

Now, we solve for FE:

10^2 + FE^2 = 26^2\\100+FE^2=676\\FE^2=576\\FE=24

So,

Cos(E) = adj/hyp = 24/26

Correct answer is A

7 0
3 years ago
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