Answer:
![\frac{1}{3}e^{x/3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7De%5E%7Bx%2F3%7D)
Step-by-step explanation:
<h3>Derivative </h3>
![\frac{1}{3}e^{x/3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7De%5E%7Bx%2F3%7D)
Since, the derivative of e^x is e^x and e^(yx) is ye^(yx)
First find the amount of increase: 380-300=80. Then divide the amount of increase by the original amount: 80/300=.266666667. Normally you round to the tenths place: .27. Then make it a percent: .27=27%. The percent of increase is 27% :) hope this helps
Answer:
Let n be the number of 25 cent stamps.Then, 28 - n must be the number of 29 cent stamps.Tim paid $7.60 the stamps.
0.25n + 0.29(28 - n) = 7.60
This means that n stamps at 25 cents a piece plus (28 - n) stamps at 29 cents a piece sum to $7.60.Solve for m.
0.25n + 8.12 - 0.29n = 7.60
-0.04n = -0.52
n = 13
So, Tim bought 13 25-cent stamps and 28 - 13 = 15 29-cent stamps
Step-by-step explanation:
hope this helps:)
Answer:
9.57 yd squared
Step-by-step explanation:
we can divide this figure into two shapes: a rectangle and a semi-circle
since we know the length and width of the rectangle, all we ahve to do is multiply them together to find the area: <u>8 yd squared</u>
for the semi-circle, we know the area is ![\frac{\\\pi r^2}{2\\}](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%5C%5Cpi%20r%5E2%7D%7B2%5C%5C%7D)
raduis is half the diameter so 1 yd
![\frac{3.14(1)^2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3.14%281%29%5E2%7D%7B2%7D)
<u />
<u>1.57 yd squared</u>
lastly, add the area of the two figures together 8+1.57
Each angle on a triangle pertains to the opposite side
so let’s start by solving the equations:
6 + 4 = 10
2(6) - 3 = 9
3(6) - 10 = 8
then order then look at what each of the sides is opposite to:
10 = A
9 = B
8 = C
so from smallest to largest the angles are C, B, A