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gavmur [86]
3 years ago
6

Marvin rides his bike at an average speed of 13 miles per hour. How far can he bike in 8 hours?

Mathematics
2 answers:
myrzilka [38]3 years ago
7 0
Marvin can bike 104 miles in 8 hours
ohaa [14]3 years ago
5 0

Answer:

104

Step-by-step explanation:

13x8=104

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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
I give brainliest!!!!
Elza [17]

Answer:

(3,2) i hope this answer will help you

7 0
3 years ago
Read 2 more answers
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalen
adell [148]

Answer:

option D

2x − 7(−3x − 17) = 4

Step-by-step explanation:

Given in the question two equations

<h3>Equation 1</h3>

2x - 7y = 4

<h3>Equation 2</h3>

3x + y = -17

Rearranging equation 2 in terms of y

3x + y = -17

y = -17 - 3x

Put this value of y in Equation 1

2x - 7y = 4

2x - 7(-17 - 3x) = 4

So,

If you use the substitution method to solve the following system, new equation will be

<h3>2x - 7(- 3x - 17) = 4 </h3>

3 0
3 years ago
Help me with this math problem, I need someone to guide me through it I don’t understand what I’m supposed to do first
natita [175]

Answer:

see below

Step-by-step explanation:

The parent function is x^2 which is a parabola at vertex (0,0)

g(x) = ( x+3) ^2

y = f(x + C) C > 0 moves it left  

So the parabola is shifted to the left 3 units

h(x) = -( x+3) ^2

y = −f(x)  

Reflects it about x-axis

Means flip it about the x axis

7 0
3 years ago
Carina's car averages 25 miles per gallon.Will she be able to make the round trip on one tank of gas.
ser-zykov [4K]
There is not enough information to answer the question. To answer it, you need to know how much gas is in her gas tank and how far she needs to travel.
4 0
3 years ago
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