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tia_tia [17]
3 years ago
11

A health food company sells packs of assorted nuts. The company incurs a monthly fixed cost of $1400 for ingredients and raw mat

erials plus packaging costs of $1 per bag.
Mathematics
1 answer:
aliya0001 [1]3 years ago
7 0
1400 + 1x....or 1400 + x
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Total 23 cupcakes is the answer .

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3 years ago
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Please find the derivative of that function...
vodka [1.7K]
You could apply a clever Algebra trick to avoid using the quotient rule,

\rm y=\dfrac{log(x)-1+1}{log(x)-1}=\dfrac{log(x)-1}{log(x)-1}+\dfrac{1}{log(x)-1}

\rm y=1+\dfrac{1}{log(x)-1}

and apply power rule into chain rule from that point.
But this problem was likely designed to teach you about quotient rule so let's do it that way.

Let's start by "setting up" our quotient rule:

\rm y'=\dfrac{(log x)'(log x-1)-log x(log x-1)'}{(log x-1)^2}

If this log notation is not intended to be natural log, then we'll have a little bit of extra work. Our change of base identity allows us to rewrite log base 10 in terms of the natural log,

\rm log(x)=\dfrac{ln x}{ln10}

so let's apply this to our problem,

\rm y'=\dfrac{\left(\frac{ln x}{ln 10}\right)'(log x-1)-log x\left(\dfrac{ln x}{ln 10}-1\right)'}{(log x-1)^2}

Derivative of ln(x) gives us 1/x in each case,

\rm y'=\dfrac{\left(\frac{1}{x ln 10}\right)(log x-1)-log x\left(\dfrac{1}{x ln 10}\right)}{(log x-1)^2}

Factor the 1/(x ln10) out of each term in the numerator,

\rm y'=\left(\dfrac{1}{x ln 10}\right)\dfrac{log x-1-log x}{(log x-1)^2}

and combine like-terms,

\rm y'=\dfrac{-1}{x(log x-1)^2ln 10}

Lemme know if you're confused with any of the steps.
6 0
4 years ago
Refer to the figure to complete the following item.
Semmy [17]

If m VB = 60°  and m BS = 30°, then m ∠3 =15°.

<h3>What is tangent?</h3>

A tangent is a line passing by touching the perimeter of the circle, perpendicular to the line joining the center and touch point.

Given, PB tangents PV, PU secants

If m VB = 60°  and m BS = 30°, then m ∠3 =

The measurement of the external angles is the semi difference of the arcs it consists.

∠3 = 1/2 (60 - 30)

∠3 = 15°

Thus, If m VB = 60°  and m BS = 30°, then m ∠3 =15°.

Learn more about tangent.

brainly.com/question/23265136

#SPJ1

4 0
2 years ago
The volume of a box is 400 in.^3in. ​3 ​​ . The height is 5 in. What is the area of the base of the box?
gayaneshka [121]

Answer:

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Step-by-step explanation: V = b×h

Divide the volume by the height to find the area of the base.

400 ÷ 5 = 80

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3 years ago
what is the area of pentagon ABCDE? 16 square units, 20 square units, 24 square units, or 36 square units?
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Answer:

its A i just took the test

Step-by-step explanation:

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