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rewona [7]
3 years ago
11

Which of the following statements demonstrates the associative property of multiplication? A. 4. (3x6) = (4 x 3) · 6. B 6x4 = 4x

6. C -3 x 1 = -3. D 2(24) = 2(20 + 4)​
Mathematics
1 answer:
scoray [572]3 years ago
6 0
I hope this helps but it is either d or a because parentheses and another term for multiplication and so is a dot
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The temperature function (in degrees Fahrenheit) in a three dimensional space is given by T(x, y, z) = 3x + 6y - 6z + 1. A bee i
madam [21]

You're looking for the extreme values of T(x,y,z)=3x+6y-6z+1 subject to x^2+y^2+z^2=9. The Lagrangian is

L(x,y,z,\lambda)=3x+6y-6z+1+\lambda(x^2+y^2+z^2-9)

with critical wherever the partial derivatives vanish:

L_x=3+2\lambda x=0\implies x=-\dfrac3{2\lambda}

L_y=6+2\lambda y=0\implies y=-\dfrac3\lambda

L_z=-6+2\lambda z=0\implies z=\dfrac3\lambda

L_\lambda=x^2+y^2+z^2-9=0

Substituting the first three solutions into the last equation gives

\dfrac9{4\lambda^2}+\dfrac9{\lambda^2}+\dfrac9{\lambda^2}=9

\implies\lambda=\pm\dfrac32

\implies x=1,y=2,z=-2\text{ or }x=-1,y=-2,z=2

At these points, we have

T(1,2,-2)=28

T(-1,-2,2)=-26

so the highest temperature the bee can experience is 28º F at the point (1, 2, -2), and the lowest is -26º F at the point (-1, -2, 2).

6 0
3 years ago
Can someone help me drag this please correct answers only
jeka57 [31]
180- 44= 136 = x
90-57=33 = y
107 - 27 = 80 = x
P = 57
8 0
3 years ago
Read 2 more answers
Nola hiked down a trail at a steady rate for 10 minutes. Her change in elevation was -200 feet. Then she continued to hike down
DedPeter [7]

The <em><u>correct answer</u></em> is:

The faster rate is when she hiked down 200 feet in 10 minutes.

Explanation:

The rate of change is given by the change in y over the change in x; in this case, the change in elevation over the change in time.

For the first part of the hike, the change in elevation was -200 and the change in time was 10; this gives us a rate of change of -200/10 = -20.

For the second part of the hike, the change in elevation was -300 and the change in time was 20; this gives us a rate of change of -300/20 = -15.

She hiked downhill faster during the first part of the hike, at 20 feet per minute.

8 0
3 years ago
Can someone answer this plssss
Tpy6a [65]

Answer:

AB : Y= 4  CB: Y= -1

Step-by-step explanation:

I think?? I'm so so sorry I didn't really pay attention to these shape figures in math :(((

3 0
3 years ago
Solve each equation. Explain your method.8.88=4.44(x−7)
omeli [17]
  • 8.88=4.44(x−7)

write the equation

  • 8.88 - 4.44=(x−7)

Transfer 4.44 to other side and it's sign changes from positive to negative

  • 4.44=(x−7)

After subtracting we will get result as 4.44

  • (x−7) = 4.44

Arrange the equation as variable always comes at left side.

  • x−7 = 4.44

open brakets

  • x = 4.44 + 7

transfer 7 to other side and it changes from - to + sign

  • x = 11.44
8 0
3 years ago
Read 2 more answers
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