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tino4ka555 [31]
2 years ago
7

Can anyone help? I will mark you as brainliest!

Mathematics
1 answer:
Rudik [331]2 years ago
3 0

Answer: Part A is -  the highest frequency was 5

  The total number of the frequency is 24

The range is 1

I gave you the best answer that I have. I did my best. Good luck! :)

Step-by-step explanation:

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A plane flying overhead at night is located by two
Gemiola [76]

Answer:

Step-by-step explanation:

B

2

3

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In ΔBCD, we have

tan60

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In ΔABC, we have

tan30

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solution

6 0
2 years ago
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
2. What is the interpretation of the constant of proportionality?
Snowcat [4.5K]

Answer: It would be the first one, 0.001 kilometers per meter.

Step-by-step explanation: is 1,000 meters is equal to 1 kilometer, you would have to move the decimal on each until one is at one and the other is at 0.001. This would leave you with the first answer. Hope this helps!

6 0
2 years ago
If the square of the hypotenuse of an isosceles right triangle is 98cm2 find the length of each side
Marrrta [24]

Answer:

7

Step-by-step explanation:

Let the each leg be x so,

√(x²+x²)=√98

or, √(2x²)=√98

or, x√2=7√2

or, x=7

3 0
2 years ago
I will mark you the brainliest help plesdd
Reil [10]
The slope of Line B is -1/5
7 0
2 years ago
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