The bakery start with 2954 cherry
<em><u>Solution:</u></em>
Given that,
A bakery made 26 cherry pies, using 115 cherries for each pie
So they used 115 cherry for each pie
26 cherry pies, 115 cherry per pie
Therefore,
Number of cherries used = 26 x 115 = 2990 cherries used
They threw away 36 cherries that were bad
36 cherry were bad
2990 - 36 = 2954
Thus they start with 2954 cherries
Answer: It has one solution. The solution is (x,y) = (-4,-3)
Add up the equations doing so straight down
x + -x = 0x = 0 so the x terms go away
2y + 2y = 4y
-10 + (-2) = -12
We end up with 4y = -12 so y = -3 after you divide both sides by 4. Use this y value to find the value of x
x+2y = -10
x + 2(-3) = -10
x - 6 = -10
x = -10+6
x = -4
The single solution is (x,y) = (-4,-3)
As a check, plug this solution into each equation to see if you get a true statement or not. Let's do so with the first equation
x+2y = -10
-4 + 2(-3) = -10
-4 - 6 = -10
-10 = -10 .... true
and then the second equation
-x+2y = -2
-(-4) + 2(-3) = -2
4 - 6 = -2
-2 = -2 .... true
both equations are true, so the solution is confirmed
Answer:
the answer is 29.1
Step-by-step explanation:
do 30 * .97
The simplest path from (0, 0, 0) to (1, 1, 1) is a straight line, denoted
, which we can parameterize by the vector-valued function,

for
, which has differential

Then with
, we have



Complete the square in the quadratic term of the integrand:
, then in the integral we substitute
:


Make another substitution of
:

Integrate by parts, taking




So, we have by the fundamental theorem of calculus that


