Sum f(k)=4k-10 for k=1 to 18.
We sum each term separately and add the sums.
![\sum_1^{18}4k=4\sum_1^{18}k=4[18(1+18)/2]=4*9*19=684](https://tex.z-dn.net/?f=%5Csum_1%5E%7B18%7D4k%3D4%5Csum_1%5E%7B18%7Dk%3D4%5B18%281%2B18%29%2F2%5D%3D4%2A9%2A19%3D684)

Therefore the required sum is 684-180=504
Answer:
The value of a is 3
Step-by-step explanation:
First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)
y--2=-3(x-6), which simplifies to y+2=-3(x-6)
In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.
7+2=-3(x-6),
Combine like terms on the left side to get to 9=-3(x-6)
Multiply out on the left to get 9=-3x+18
Subtract 18 from the left side to get -9=-3x
Divide both sides by negative 3 to get 3=x (remember x is a)
Answer:
Step-by-step explanation:
The formula for determining the perimeter of a rectangle is expressed as
Perimeter = 2(L + W)
She placed 56 feet of fencing around her garden. This means that the perimeter of the garden is 56 feet. If the length of the rectangular garden is 20 feet, i means that
2(20 + W) = 56
Dividing through by 2, it becomes
20 + W = 28
W = 28 - 20
W = 8 feet
The formula for determining the area of a rectangle is expressed as
Area = length × width
Therefore,
Area = 8 × 20 = 160 square feet
If 0.4 liters is 1/2000 of the production batch, then the production batch is 2000 * 0.4 liters
2000 * 0.4 liters = 800 liters