Answer: 15 cookies a weekday
Step-by-step explanation:
22 - 7 = 15
this is because we exclude the cookies he eats on weekends because that is not a week day so we are left with 15
Answer:
4i.
Step-by-step explanation:
To find the flux through the square, we use the divergence theorem for the flux. So Flux of F(x,y) = ∫∫divF(x,y).dA
F(x,y) = hxy,x - yi
div(F(x,y)) = dF(x,y)/dx + dF(x,y)dy = dhxy/dx + d(x - yi)/dy = hy - i
So, ∫∫divF(x,y).dA = ∫∫(hy - i).dA
= ∫∫(hy - i).dxdy
= ∫∫hydxdy - ∫∫idxdy
Since we are integrating along the boundary of the square given by −1 ≤ x ≤ 1, −1 ≤ y ≤ 1, then
∫∫divF(x,y).dA = ∫₋₁¹∫₋₁¹hydxdy - ∫₋₁¹∫₋₁¹idxdy
= h∫₋₁¹{y²/2}¹₋₁dx - i∫₋₁¹[y]₋₁¹dx
= h∫₋₁¹{1²/2 - (-1)/2²}dx - i∫₋₁¹[1 - (-1)]dx
= h∫₋₁¹{1/2 - 1)/2}dx - i∫₋₁¹[1 + 1)]dx
= 0 - i∫₋₁¹2dx
= - 2i[x]₋₁¹
= 2i[1 - (-1)]
= 2i[1 + 1]
= 2i(2)
= 4i
Answer:
10 in.
Step-by-step explanation:
The perimeter of a rectangle is the sum of the lengths of the 4 sides.
perimeter of rectangle = length + length + width + width
Opposite sides of a rectangle have the same length. Since one side measures 4 inches, the opposite side also measures 4 inches. Since one side measures 1 inch, the opposite side also measures 1 inch. There are two 4-inch sides and two 1-inch sides.
perimeter = 4 in. + 4 in. + 1 in. + 1 in.
perimeter = 10 in.
Answer:
y = 2(x-3)
Step-by-step explanation:
This is because Gavin representing "x" loses 3 marbles, which is shown by the -3 in the parenthesis, is half of what Cindy has, or as the problem says "Cindy has double the marbles that Gavin has." These two together result in y=2(x-3)
I feel like it would be mean or median, because there is no outlier, making it so that all of the numbers are closely put together.
Put the set into order.
25, 26, 27, 28, 29
So, we know that this is all in order, making it so that we know for sure that there is no outlier.
If you find the mean, it'll represent the data nicely.
We know that both the mean and median represent the data set nicely, because it just does. It's one of those things that are extremely painful and hard to fully explain and have someone understand, but don't worry, it makes sense.
So, it can't just be the mean only or the median only.
It also can't be the mode only, because THERE IS NO MODE!
So, our final answer is mean or median :)
~Hope I helped!~
