A new car can go 490 miles on 10 gallons of gas. How many miles can it go on 55 gallons of gas?
1 answer:
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Ok, here we go. Pay attention. The formula for the arc length is 
. That means that to use that formula we have to find the derivative of the function and square it. Our function is y = 4x-5, so y'=4. Our formula now, filled in accordingly, is 
(that 1 is supposed to be negative; not sure if it is til I post the final answer). After the simplification we have the integral from -1 to 2 of 
. Integrating that we have 
from -1 to 2. 
gives us 
. Now we need to do the distance formula with this. But we need 2 coordinates for that. Our bounds are x=-1 and x=2. We will fill those x values in to the function and solve for y. When x = -1, y=4(-1)-5 and y = -9. So the point is (-1, -9). Doing the same with x = 2, y=4(2)-5 and y = 3. So the point is (2, 3). Use those in the distance formula accordingly: 
which simplifies to 
. The square root of 153 can be simplified into the square root of 9*17. Pulling out the perfect square of 9 as a 3 leaves us with . And there you go!
Answer:
See explanation
Step-by-step explanation:
William has 24 cans of fruit and 60 cans of vegetables that he will be putting into bags for a food drive.
Factor number 24 and 60:
Find the greatest common factor
Hence, the greatest number of bags William can make is 12.
Each of these bags will have cans of fruit and
cans of vegetables.
If he made fewer bags, 6 bags, each of these bags will have cans of fruit and
cans of vegetables.
If he made fewer bags, 4 bags, each of these bags will have cans of fruit and
cans of vegetables.
If he made fewer bags, 3 bags, each of these bags will have cans of fruit and
cans of vegetables.
If he made fewer bags, 2 bags, each of these bags will have cans of fruit and
cans of vegetables.