We're looking for the two values being subtracted here. One of these values is easy to find:
<span>g(1) = ∫f(t)dt = 0</span><span>
since taking the integral over an interval of length 0 is 0.
The other value we find by taking a Left Riemann Sum, which means that we divide the interval [1,15] into the intervals listed above and find the area of rectangles over those regions:
</span><span>Each integral breaks down like so:
(3-1)*f(1)=4
(6-3)*f(3)=9
(10-6)*f(6)=16
(15-10)*f(10)=10.
So, the sum of all these integrals is 39, which means g(15)=39.
Then, g(15)-g(1)=39-0=39.
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I hope my answer has come to your help. God bless and have a nice day ahead!
Answer:
x= 20
Step-by-step explanation:
Solve for x:
(7 x)/10 = 14
Multiply both sides of (7 x)/10 = 14 by 10/7:
(10×7 x)/(7×10) = 10/7×14
10/7×7/10 = (10×7)/(7×10):
(10×7)/(7×10) x = 10/7×14
10/7×14 = (10×14)/7:
(10×7 x)/(7×10) = (10×14)/7
(10×7 x)/(7×10) = (7×10)/(7×10)×x = x:
x = (10×14)/7
14/7 = (7×2)/7 = 2:
x = 10×2
10×2 = 20:
Answer: x = 20
She walked 2.808 miles.
0.72 seconds ==> 0.00078 miles
0.72 minutes ==> 0.0468 miles
0.72 hours ==> 2.808 miles
Hope that helped.
Answer:
c = 3(b + 1)
Step-by-step explanation:
c = 4b - 1b + 3
4b - 1b = 3b
c = 3b + 3
3 is a common factor of both terms on the right hand side
Factorizing the expression
c = 3(b + 1)
Add the amount of 1 & 5 dollar bills
(2x-1) + (4x+2) = 2x - 1 + 4x + 2
= 6x + 1
Hope it helped!