Answer: feet to miles
Step-by-step explanation:
Answer:
1 and 3 are both perpendicular to segment NY
Step-by-step explanation:
1. Find the slope of line NY
slope of NY = 5-(-7)/-11-5 = - 3/4
Any line that is perpendicular to NY should have a slope of the inverse of negative slope of NY.
2.Find the slope of perpendicular lines
the inverse of negative slope of NY = - (-4/3) = 4/3
Answer:
The Riemann sum equals -10.
Step-by-step explanation:
The right Riemann Sum uses the right endpoints of a sub-interval:
![\int_{a}^{b}f(x)dx\approx\Delta{x}\left(f(x_1)+f(x_2)+f(x_3)+...+f(x_{n-1})+f(x_{n})\right)](https://tex.z-dn.net/?f=%5Cint_%7Ba%7D%5E%7Bb%7Df%28x%29dx%5Capprox%5CDelta%7Bx%7D%5Cleft%28f%28x_1%29%2Bf%28x_2%29%2Bf%28x_3%29%2B...%2Bf%28x_%7Bn-1%7D%29%2Bf%28x_%7Bn%7D%29%5Cright%29)
where
![\Delta{x}=\frac{b-a}{n}](https://tex.z-dn.net/?f=%5CDelta%7Bx%7D%3D%5Cfrac%7Bb-a%7D%7Bn%7D)
To find the Riemann sum for
with n = 5 rectangles, using right endpoints you must:
We know that a = -6, b = 4 and n = 5, so
![\Delta{x}=\frac{4-\left(-6\right)}{5}=2](https://tex.z-dn.net/?f=%5CDelta%7Bx%7D%3D%5Cfrac%7B4-%5Cleft%28-6%5Cright%29%7D%7B5%7D%3D2)
We need to divide the interval −6 ≤ x ≤ 4 into n = 5 sub-intervals of length ![\Delta{x}=2](https://tex.z-dn.net/?f=%5CDelta%7Bx%7D%3D2)
![a=\left[-6, -4\right], \left[-4, -2\right], \left[-2, 0\right], \left[0, 2\right], \left[2, 4\right]=b](https://tex.z-dn.net/?f=a%3D%5Cleft%5B-6%2C%20-4%5Cright%5D%2C%20%5Cleft%5B-4%2C%20-2%5Cright%5D%2C%20%5Cleft%5B-2%2C%200%5Cright%5D%2C%20%5Cleft%5B0%2C%202%5Cright%5D%2C%20%5Cleft%5B2%2C%204%5Cright%5D%3Db)
Now, we just evaluate the function at the right endpoints:
![f\left(x_{1}\right)=f\left(-4\right)=-13=-13](https://tex.z-dn.net/?f=f%5Cleft%28x_%7B1%7D%5Cright%29%3Df%5Cleft%28-4%5Cright%29%3D-13%3D-13)
![f\left(x_{2}\right)=f\left(-2\right)=-7=-7](https://tex.z-dn.net/?f=f%5Cleft%28x_%7B2%7D%5Cright%29%3Df%5Cleft%28-2%5Cright%29%3D-7%3D-7)
![f\left(x_{3}\right)=f\left(0\right)=-1=-1](https://tex.z-dn.net/?f=f%5Cleft%28x_%7B3%7D%5Cright%29%3Df%5Cleft%280%5Cright%29%3D-1%3D-1)
![f\left(x_{4}\right)=f\left(2\right)=5=5](https://tex.z-dn.net/?f=f%5Cleft%28x_%7B4%7D%5Cright%29%3Df%5Cleft%282%5Cright%29%3D5%3D5)
![f\left(x_{5}\right)=f(b)=f\left(4\right)=11=11](https://tex.z-dn.net/?f=f%5Cleft%28x_%7B5%7D%5Cright%29%3Df%28b%29%3Df%5Cleft%284%5Cright%29%3D11%3D11)
Finally, just sum up the above values and multiply by 2
![2(-13-7-1+5+11)=-10](https://tex.z-dn.net/?f=2%28-13-7-1%2B5%2B11%29%3D-10)
The Riemann sum equals -10
Answer:
The answer is B
Step-by-step explanation:
You have to add the 480 dollars which eliminates A and C. Then, when finding commission you make the commission rate into decimal form which eliminates D. Your only option left is B
The answer is 10/5 which equals 2