The answer is C.
explanation: you turn 1/3 into a decimal and that will be 0.333. Then you multiply 0.333 with 82,000 and that gets you C
have a great day :) hope this helped.
Answer:
![y = 9.1](https://tex.z-dn.net/?f=%20y%20%3D%209.1%20)
Step-by-step explanation:
y can be found using the Law of sines as explained below:
m < Y = 106°
m < X = 58°
WY = x = 8
WX = y = ?
Thus,
![\frac{x}{sin(X)} = \frac{y}{sin(Y)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bx%7D%7Bsin%28X%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28Y%29%7D%20)
![\frac{8}{sin(58)} = \frac{y}{sin(106)}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7Bsin%2858%29%7D%20%3D%20%5Cfrac%7By%7D%7Bsin%28106%29%7D%20)
![\frac{8}{0.848} = \frac{y}{0.961}](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%20)
Multiply both sides by 0.961 to solve for y
![\frac{8}{0.848}*0.961 = \frac{y}{0.961}*0.961](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%7D%7B0.848%7D%2A0.961%20%3D%20%5Cfrac%7By%7D%7B0.961%7D%2A0.961%20)
![\frac{8*0.961}{0.848} = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%20%3D%20y%20)
![\frac{8*0.961}{0.848}*0.961 = y](https://tex.z-dn.net/?f=%20%5Cfrac%7B8%2A0.961%7D%7B0.848%7D%2A0.961%20%3D%20y%20)
![9.07 = y](https://tex.z-dn.net/?f=%209.07%20%3D%20y%20)
(to the nearest tenth)
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)=![x/2+x^{3}](https://tex.z-dn.net/?f=x%2F2%2Bx%5E%7B3%7D)
⇒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=
∑![n^{2}(n+4i)/2n^{3}+(n+4i)^{3}4/n](https://tex.z-dn.net/?f=n%5E%7B2%7D%28n%2B4i%29%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D4%2Fn)
=4
∑![n(n+4i)/2n^{3}+(n+4i)^{3}](https://tex.z-dn.net/?f=n%28n%2B4i%29%2F2n%5E%7B3%7D%2B%28n%2B4i%29%5E%7B3%7D)
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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9 cups of tea were sold.
For each 6 cups of coffee, 1 cup of tea was sold. So 54/6 = 9.
2000 smartphones and 1500 flip phones
4-3=1
1x500=500
500x4=2000
500x3=1500