Answer:
30 + 45
Step-by-step explanation:
5(6 + 9) = 5*6 + 5*9 = 30 + 45
Answer:
Step-by-step explanation:
move constant to the right and change the sign
X=12-8
X=4
Answer:
x = - 12 6/7
Step-by-step explanation:
x - 12x/5= 18
Get a common denominator on the left
5/5 x -12/5x = 18
Subtract
-7/5 x = 18
Multiply each side by -5/7 to isolate x
-5/7 *-7/5 x = -5/7 *18
x = -5*18/7
x = -90/7
Changing this to a mixed number
7 goes into 90 1 2 times with 6 left over
x = - 12 6/7
You have the following equation for the cost of renting a car for x number of miles driven:
y = 0.15x + 65
If you travel 70 miles, then, x = 70 and you obtain for the cost y:
y = 0.15(70) + 65
y = 10.5 + 65
y = 75.5
Hence, the cost of renting a car to drive 70 miles is $75.5
By Stokes' theorem,

where

is the circular boundary of the hemisphere

in the

-

plane. We can parameterize the boundary via the "standard" choice of polar coordinates, setting

where

. Then the line integral is


We can check this result by evaluating the equivalent surface integral. We have

and we can parameterize

by

so that

where

and

. Then,

as expected.