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mel-nik [20]
3 years ago
14

Science pls answer I give brainliest

Mathematics
1 answer:
elena-14-01-66 [18.8K]3 years ago
4 0

Answer:

b

Step-by-step explanation:

because air is cooler in the mountains so it'll be cold not humid

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Use lagrange multipliers to find the point on the plane x − 2y + 3z = 6 that is closest to the point (0, 2, 5).
horsena [70]
Lagrangian:

L(x,y,z,\lambda)=x^2+(y-2)^2+(z-5)^2+\lambda(x-2y+3z-6)

where the function we want to minimize is actually \sqrt{x^2+(y-2)^2+(z-5)^2}, but it's easy to see that \sqrt{f(\mathbf x)} and f(\mathbf x) have critical points at the same vector \mathbf x.

Derivatives of the Lagrangian set equal to zero:

L_x=2x+\lambda=0\implies x=-\dfrac\lambda2
L_y=2(y-2)-2\lambda=0\implies y=2+\lambda
L_z=2(z-5)+3\lambda=0\implies z=5-\dfrac{3\lambda}2
L_\lambda=x-2y+3z-6=0

Substituting the first three equations into the fourth gives

-\dfrac\lambda2-2(2+\lambda)+3\left(5-\dfrac{3\lambda}2\right)=6
11-7\lambda=6\implies \lambda=\dfrac57

Solving for x,y,z, we get a single critical point at \left(-\dfrac5{14},\dfrac{19}7,\dfrac{55}{14}\right), which in turn gives the least distance between the plane and (0, 2, 5) of \dfrac5{\sqrt{14}}.
7 0
3 years ago
Pls answer for brainlest and 50 points PLEASE EXPLAIN <br><br> In image
AlexFokin [52]

First, let's complete the angles in the triangle. Remember that the sum of the angles in a triangle is 180 degrees.

73 + 90 + x = 180

163 + x = 180

x = 17

So, the angle that completes the triangle is 17 degrees. If we look at that angle in the triangle and the one adjacent to it, we can see that those two angles form a linear pair (or are supplementary, both meaning that they add up to 180 degrees).

17 + x = 180

x = 163

So, 17's supplement is 163 degrees. The 163 degree angle corresponds with angle r, and corresponding angles are congruent.

Therefore, angle r is 163 degrees. The correct answer is option C.

Hope this helps!

5 0
1 year ago
Read 2 more answers
Jalyn collected 24 stones. She put them in 4 equal piles. How many stones are in each pile?
ZanzabumX [31]

Answer:

6

Step-by-step explanation:

This is basically 24 divided by 4 since he/she is dividing 24 into 4 equal groups.

24/4=6

3 0
3 years ago
Read 2 more answers
Ft=50,000(0.47)^t expontional growth
jonny [76]

Answer:

Ok

Step-by-step explanation:

5 0
3 years ago
Paula rows 6 miles upstream in 3 hours she returns downstream in 2 hours. Which is the rate Paula rows in still water? What is t
KiRa [710]

Answer:

Upstream - 2 miles per hour

Downstream - 3 miles per hour

Step-by-step explanation:

For the speed upstream, the answer would be 2 miles per hour (mph), because 6÷3=2.

For the speed downstream, the answer would be 3 miles per hour (mph), because 6÷2=3.

Both answers come in similar methods. Hope this helps you!

If you don't mind, please mark my answer brainliest!

8 0
3 years ago
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