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ss7ja [257]
3 years ago
9

Berta, Maya, and Zach are in different checkout lanes at a store. Berta has 3 more people in front of her than are in front of M

aya. There are two times as many people in front of Zach as there are in front of Maya. The total number of people in front of the girls is 11. How many people are in front of each person?
Mathematics
1 answer:
erica [24]3 years ago
4 0
Maya=2
Berta=5
Zach=4
Total=11
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Identify the terms and like terms in the expression - x - 9x*2 + 12x*2 + 7
alexgriva [62]
The expression - x - 9x^2 + 12x^2 + 7 has 4 terms:
-x, -9x^2, 12x^2, 7

Like terms are:
-9x^2, 12x^2
4 0
3 years ago
Let C be the positively oriented square with vertices (0,0), (1,0), (1,1), (0,1). Use Green's Theorem to evaluate the line integ
liq [111]

Answer:

1/2

Step-by-step explanation:

The interior of the square is the region D = { (x,y) : 0 ≤ x,y ≤1 }. We call L(x,y) = 7y²x, M(x,y) = 8x²y. Since C is positively oriented, Green Theorem states that

\int\limits_C {L(x,y)} \, dx + {M(x,y)} \, dy = \int\limits^1_0\int\limits^1_0 {(Mx - Ly)} \, dxdy

Lets calculate the partial derivates of M and L, Mx and Ly. They can be computed by taking the derivate of the respective value, treating the other variable as a constant.

  • Mx(x,y) = d/dx 8x²y = 16xy
  • Ly(x,y) = d/dy 7y²x = 14xy

Thus, Mx(x,y) - Ly(x,y) = 2xy, and therefore, the line ntegral is equal to the double integral

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy

We can compute the double integral by applying the Barrow's Rule, a primitive of 2xy under the variable x is x²y, thus the double integral can be computed as follows

\int\limits^1_0\int\limits^1_0 {2xy} \, dxdy = \int\limits^1_0 {x^2y} |^1_0 \,dy = \int\limits^1_0 {y} \, dy = \frac{y^2}{2} \, |^1_0 = 1/2

We conclude that the line integral is 1/2

4 0
2 years ago
Bob decides he wants to make guitars and sell them online. He makes and sells Gibson Explorer’s and Gibson Flying V’s. He can ma
lozanna [386]
Okay so the equation. Lets say e is explorers and v is flying vs and m = money.

e + v > or = 30.

80e + 5v =m.
 
e < or = 20\
v < or = 20.
Okay, the most money he could make would be if he made 20 explorers at 80 dollars and 10 vs at 5 dollars.
Total money...
1600 + 50 = 1650.
So he could make $1650.

7 0
3 years ago
John has a roll containing 24 2/3 feet of wrapping paper he wants to divide it into 11 pieces first though he must cut off five
Simora [160]

take 23 2/3 and subtract 6 to get 53/3 or 17 2/3 or 17.667

then you take 17.667 and divide by 11 to get 1.606


6 0
2 years ago
For the polynomial shown below find f(1).<br><br><br>f(x)=3x^4-x^2+4x-2
Feliz [49]

Answer:

f(1)=4

Step-by-step explanation:

f(1)=3(1)^4-(1)^2+4(1)-2

f(1)=3(1)-1+4-2

f(1)=3-1+4-2

f(1)=4

6 0
3 years ago
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