Answer:

Step-by-step explanation:
The inequality includes -53.
The interval notation is 

Answer:
Step-by-step explanation:
The expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Given an integral
.
We are required to express the integral as a limit of Riemann sums.
An integral basically assigns numbers to functions in a way that describes displacement, area, volume, and other concepts that arise by combining infinite data.
A Riemann sum is basically a certain kind of approximation of an integral by a finite sum.
Using Riemann sums, we have :
=
∑f(a+iΔx)Δx ,here Δx=(b-a)/n
=f(x)=
⇒Δx=(5-1)/n=4/n
f(a+iΔx)=f(1+4i/n)
f(1+4i/n)=![[n^{2}(n+4i)]/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=%5Bn%5E%7B2%7D%28n%2B4i%29%5D%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
∑f(a+iΔx)Δx=
∑
=4
∑
Hence the expression of integral as a limit of Riemann sums of given integral
is 4
∑
from i=1 to i=n.
Learn more about integral at brainly.com/question/27419605
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Answer: He could have played more than 3 games.
Step-by-step explanation:
Hi, to answer this question we have to write an inequality.
I golf club charges $10 to join and $5 per game: So, the cost of playing golf is equal to $10 (joining price) plus the product of the number of games played (x) and the price per game (5).
That expression must be higher than 25, since john paid more than $25.
Mathematically speaking
10+ 5 x > 25
Solving for x
5x >25-10
5x >15
x >15/5
x> 3
He could have played more than 3 games, since his cost was higher ( not equal or higher) than 25.
2.96 or 18.75 is the answer im leaning towards 2.96 though