
describes a sum of the areas of 50 rectangles, each of width

, and the

th rectangle has height

.

ranges from a small positive number to 1, which means the integration interval must be
![[0,1]](https://tex.z-dn.net/?f=%5B0%2C1%5D)
. The sum is then the right-endpoint Riemann sum of

over the interval with

equally spaced subintervals, so

The sum itself evaluates to roughly 0.676, while the exact value of the integral is

.
Answer:
1. ∠1 = 60
2. ∠2 = 40
3. ∠3 = 80
4. ∠4 = 80
5. ∠5 = 60
6. ∠6 = 120
7. ∠7 = 100
8. ∠8 = 60
9. ∠9 = 120
10. ∠10 = 100
Step-by-step explanation:
Given,
9(x+1) = 25 + x
expanding,
9x + 1 = 25 + x
bringing x to left hand side and taking 1 to right hand side with change in their respective signs,
9x - x = 25-1
=> 8x = 24
transposing 8 ,
=> x = 24/8 = 3
Hence x = 3
Answer:
6.25 pounds used
3.75 pounds lelft
Step-by-step explanation:
10 pounds/8=1.25 pounds
1.25 x 5 = 6.25pounds used
10 - 6.25 = 3.75 pounds left
Suppose Jenny publishes X post per day, and Antonio publishes Y post per day.
So, the combined number of posts will be X+Y multiplied by the number of days.
For example, if the numbers of days is Z, Jenny and Antonio published Z(X+Y) posts.