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finlep [7]
2 years ago
12

Dianna made several loaves of bread yesterday. Each loaf required 2 and two-thirds cups of flour. All together, she used 13 and

one-third cups of flour. How many loaves did Dianna make?Which is the best estimate of 11 and one-fifth divided by 2 and three-fourths?
Mathematics
1 answer:
Veronika [31]2 years ago
7 0

Answer:

5 loaves and 4

Step-by-step explanation:

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One of two supplementary angles is five times the other. find the angles. (recall that supplementary angles are angles whose sum
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It's 6x = 180 because angle one is 5x and angle two would just be x.
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(a)5%)Let fx, y) = x^4 + y^4 - 4xy + 1. and classify each critical point Find all critical points of fx,y) as a local minimum, l
lara31 [8.8K]

f(x,y)=x^4+y^4-4xy+1

has critical points wherever the partial derivatives vanish:

f_x=4x^3-4y=0\implies x^3=y

f_y=4y^3-4x=0\implies y^3=x

Then

x^3=y\implies x^9=x\implies x(x^8-1)=0\implies x=0\text{ or }x=\pm1

  • If x=0, then y=0; critical point at (0, 0)
  • If x=1, then y=1; critical point at (1, 1)
  • If x=-1, then y=-1; critical point at (-1, -1)

f(x,y) has Hessian matrix

H(x,y)=\begin{bmatrix}12x^2&-4\\-4&12y^2\end{bmatrix}

with determinant

\det H(x,y)=144x^2y^2-16

  • At (0, 0), the Hessian determinant is -16, which indicates a saddle point.
  • At (1, 1), the determinant is 128, and f_{xx}(1,1)=12, which indicates a local minimum.
  • At (-1, -1), the determinant is again 128, and f_{xx}(-1,-1)=12, which indicates another local minimum.
4 0
3 years ago
Which side of the right triangle is always the longest? And what is it called?
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Side opposite the largest angle and it’s called the hypotenuse
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Answer:

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Second Blank: 6*2 = <em><u>12</u></em>

Step-by-step explanation:

The common ratio for the right row is the number thats given on the opposite side of it's left row times 2

Hope this helps!

4 0
3 years ago
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