A person jogs 780 meters south and

Mathematics

1 answer:

givi [52]3 years ago

3 0

Answer:

24.8 degrees

Step-by-step explanation:

input the side lengths into the law of cosines, and subtract from 180 to get your final answer. hope this helped, and good luck :)

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The population of a city is expected to increase by 7.5% next year. If p represents the current population, which expression rep

igor_vitrenko [27]

Answer:

1.75 p

Step-by-step explanation:

if you wouldn't mind giving me brainliest, i'm just trying to rank up.

8 0

3 years ago

Can someone help please

myrzilka [38]

<h3>Answer: 15x^(7/3) - 8x^(7/4) + x + 9000</h3>

=========================================================

Explanation:

If you know the cost function C(x), to find the marginal cost, we apply the derivative.

Marginal cost = derivative of cost function

Marginal cost = C ' (x)

Since we're given the marginal cost, we'll apply the antiderivative (aka integral) to figure out what C(x) is. This reverses the process described above.

$\text{Cost} = \text{antiderivative of marginal cost}\\\\\displaystyle C(x) = \int \left(35x^{4/3} - 14x^{3/4} + 1\right)dx\\\\$

$C(x) = \frac{1}{1+4/3}*35x^{4/3+1} - \frac{1}{1+3/4}*14x^{3/4+1} + x + D\\\\C(x) = \frac{1}{7/3}*35x^{7/3} - \frac{1}{7/4}*14x^{7/4} + x + D\\\\C(x) = \frac{3}{7}*35x^{7/3} - \frac{4}{7}*14x^{7/4} + x + D\\\\C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

D represents a fixed constant. I would have used C as the constant of integration, but it's already taken by the cost function C(x).

To determine the value of D, we plug in x = 0 and C(x) = 9000. This is because we're told the fixed costs are $9000. This means that when x = 0 units are made, you still have $9000 in costs to pay. This is the initial value. You'll find that all of this leads to D = 9000 because everything else zeros out.

Therefore, we go from this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + D\\\\$

to this

$C(x) = 15x^{7/3} - 8x^{7/4} + x + 9000\\\\$

which is the final answer.

3 0

2 years ago

Suppose triangle ABC will be dilated using the rule . What will be the distance from the center of dilation, Q, to the image of

Blababa [14]

Answer:

Step-by-step explanation:

The rule of dilation is $D_{Q,\frac{2}{3}}.$ This means that each distance QX' is equal to $\dfrac{2}{3}QX,$ where X is initial point and X' is its image after dilation.