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rjkz [21]
2 years ago
7

Keep change flip10×4 1/4​

Mathematics
1 answer:
Art [367]2 years ago
8 0
I not sure but I think it’s will be 10
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Continuous functions f, g are known to have the properties z 4 1 f(x) dx = 19, z 4 1 g(x) dx = 12 respectively. use these to fin
Ahat [919]

I guess this reads

\displaystyle\int_1^4f(x)\,\mathrm dx=19

\displaystyle\int_1^4g(x)\,\mathrm dx=12

You want to compute

I=\displaystyle\int_1^4(8f(x)-g(x)+7)\,\mathrm dx

By linearity of the definite integral,

I=\displaystyle8\int_1^4f(x)\,\mathrm dx-\int_1^4g(x)\,\mathrm dx+7\int\mathrm dx

I=8\cdot19-12+7(4-1)=\boxed{161}

3 0
2 years ago
David runs on a track that is 1/4 mile long he completes it in 1/20 of an hour
posledela

Answer:

<h2> 5mile per hour</h2>

Step-by-step explanation:

Step one:

given data

distance= 1/4mile

time taken= 1/20 hour

Step two:

Required

speed

we know that speed is

speed= distance/time

substituting

speed= 1/4/1/20

speed=1/4*20/1

speeed=20/4

speed=5mile/hour

The option a sis correct, the speed is 5mile per hour

7 0
2 years ago
A mechanic buys $14.56 worth of parts from a supplier. If he pays for the parts with a $20 bill, how much change will he receive
balu736 [363]

This is a basic subtraction problem :-).

You will subtract how much money the mechanic gives to the supplier; which in this case will be $20, by the total amount of the parts which is $14.56.

20-14.56 = 5.44

Therefore, he will receive $5.44 in change for the transaction.

7 0
3 years ago
Read 2 more answers
This table shows values represented by an exponential function.
Bad White [126]

Answer:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

Step-by-step explanation:

For this cae we know that the average rate of change of a function is given by this general expresion:

m = \frac{f(b) -f(a)}{b-a}

For this special case from the info of the table we have:

a = 2 , f(2)=9

b = 4 , f(4)=64

And replacing the data into the average rate formula we got:

m = \frac{64-9}{4-2}= 27.5

And then the best answer for this case would be:

C. 27.5

7 0
3 years ago
Mike drove 100 miles in a rental car and was charged $58.00. Jane rented the same car after Mike had rented it and was charged $
timama [110]

Answer:

y= 48 + 0.1x

x= miles driven

Step-by-step explanation:

<u>We need to calculate the fixed and variable cost (per mile) of renting a car. To do that, we will use the high-low method:</u>

Variable cost per unit= (Highest activity cost - Lowest activity cost)/ (Highest activity units - Lowest activity units)

Variable cost per unit= (65 - 58) / (170 - 100)

Variable cost per unit= $0.1 per mile

Fixed costs= Highest activity cost - (Variable cost per unit * HAU)

Fixed costs= 65 - (0.1*170)

Fixed costs= $48

Fixed costs= LAC - (Variable cost per unit* LAU)

Fixed costs= 58 - (0.1*100)

Fixed costs= $48

y= 48 + 0.1x

x= miles driven

7 0
3 years ago
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