$30 • 10%
10% = 0.10
30 • 0.10 = 3
The answer is $27. They got $3 off.
$30 - $3 = $27.
Answer:
Equation of line shown in the graph is : x= - 2
Step-by-step explanation:
Given,
a line passing through two points ( -2,2) and ( -2,-3).
We need to use two pint line equation:
y - y1 = (y2 - y1 / x2 - x1 ) (x - x1 )
Here , x1 = -2 ,x2 = -2 , y1 = 2 and y2 = -3
So we can plug corresponding values in the line equation.
We get: y - 2 = {(-3 - 2) / ( -2 - (-2))} (x - (-2))
y - 2 = (-5 /0 ) (x + 2)
0 * (y - 2) = -5 (x+2)
0 = -5x - 10
10 = -5x
x = -10/5 = -2
Hence x= -2 is the equation of line shown in the graph.
By the divergence theorem, the surface integral given by

(where the integral is computed over the entire boundary of the surface) is equivalent to the triple integral

where

is the volume of the region

bounded by

.
You have

![\implies \nabla\cdot\mathbf F=\dfrac{\partial}{\partial x}[x^2y]+\dfrac{\partial}{\partial y}[xy^2]+\dfrac{\partial}{\partial z}[4xyz]=8xy](https://tex.z-dn.net/?f=%5Cimplies%20%5Cnabla%5Ccdot%5Cmathbf%20F%3D%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20x%7D%5Bx%5E2y%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20y%7D%5Bxy%5E2%5D%2B%5Cdfrac%7B%5Cpartial%7D%7B%5Cpartial%20z%7D%5B4xyz%5D%3D8xy)
and so the integral reduces to
Answer:
x = π(n -
)
Step-by-step explanation:
Find attached Solution
First integer = x
Second integer = x + 2
Third integer = x + 4
Since four times the first integer equals six more than the product of two and the third integer.
4x = 6 + 2(x + 4)
4x = 6 + 2x + 8
2x = 14
x = 7.
Hence,
First integer = x = 7
Second integer = x + 2 = 7 + 2 = 9
Third integer = x + 4 = 7 + 4 = 11.
hope this helps