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3 years ago

Mr. Shirey is baking cookies to sell for a charity. He bakes 12 dozen cookies in 4 hours. How many cookies

Mathematics

2 answers:

valentina_108 [34]3 years ago

8 0

Answer:

3 dozen, or 36 cookies

Step-by-step explanation:

Find the unit rate

12/4

This will give you 3 dozen cookies per hour, and if you need to know the specific number of cookies just multiply 3 by 12 since there are 12 in a dozen.

Hope this helps ^-^

mixer [17]3 years ago

7 0

She makes 3 dozen, or 36 an hour

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Find the cost function for the marginal cost function. C(x) =0.06 e 0.08x; fixed cost is $10 C(x)=_______

sashaice [31]

Answer:

The cost function for $C(x) = 0.06\cdot e^{0.08\cdot x}$ is $c(x) = 0.75\cdot e^{0.08\cdot x}+10$ .

Step-by-step explanation:

The marginal cost function ( $C(x)$ ) is the derivative of the cost function ( $c(x)$ ), then, we should integrate the marginal cost function to find the resulting expression. That is:

$c(x) = \int {C(x)} \, dx + C_{f}$

Where:

$C_{f}$ - Fixed costs, measured in US dollars.

If we know that $C(x) = 0.06\cdot e^{0.08\cdot x}$ and $C_{f} = \$\,10$ , then:

$c(x) = 0.06\int {e^{0.08\cdot x}} \, dx + 10$

$c(x) = 0.75\cdot e^{0.08\cdot x}+10$

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C. Line m is a perpendicular<br> bisector. If EG=12 and FG=5,<br> of then how long is:

strojnjashka [21]

Answer:

$EF = 13$

$GH = 5$

$EH = 13$

Step-by-step explanation:

Given

The attached figure

$EG = 12$

$FG = 5$

Solving (a): EF

Since m is a perpendicular bisector, then <EGF and <EGH are right-angled.

So, EF will be calculated using Pythagoras theorem which states:

$EF^2 = EG^2 + FG^2$

$EF^2 = 12^2 + 5^2$

$EF^2 = 144 + 25$

$EF^2 = 169$

Take the positive square roots of both sides

$EF = \sqrt{169$

$EF = 13$

Solving (b): GH

Since m is a perpendicular bisector, then GH = FG

$FG = 5$

$GH = FG$

$GH = 5$

Solving (c): EH

Since m is a perpendicular bisector, then EH = EF

$EF = 13$

$EH = EF$

$EH = 13$

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