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s2008m [1.1K]
3 years ago
8

Juilo walks 3 1/2 miles in 1 1/4 hours

Mathematics
1 answer:
yarga [219]3 years ago
4 0
What’s the question and I would be glad to help
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Please help due in 3 min
andrezito [222]

Answer:

(h*h)(10) is the same as h(10)*h(10). Let's find the value of h(10) first. To do this, replace every x with 10 like so

Step-by-step explanation:

h(x) = 6-x

h(10) = 6-10

h(10) = -4

So,

h(10)*h(10) = (-4)*(-4)

h(10)*h(10) = 16

The final answer is 16

3 0
3 years ago
Read 2 more answers
Use Lagrange multipliers to find the maximum and minimum values of the function subject to the given constraint. (If an answer d
eduard

The Lagrangian is

L(x_1,\ldots,x_n,\lambda_1,\ldots,\lambda_n)=x_1+\cdots+x_n+\lambda_1({x_1}^2+\cdots+{x_n}^2)+\cdots+\lambda_n({x_1}^2+\cdots+{x_n}^2)

with partial derivatives (set equal to 0)

\dfrac{\partial L}{\partial x_i}=1+2x_i(\lambda_1+\cdots+\lambda_n)=0

\dfrac{\partial L}{\partial\lambda_i}={x_1}^2+\cdots+{x_n}^2-36=0

for each 1\le i\le n.

Let \Lambda be the sum of all the multipliers \lambda_i,

\Lambda=\displaystyle\sum_{k=1}^n\lambda_k=\lambda_1+\cdots+\lambda_n

We notice that

x_i\dfrac{\partial L}{\partial x_i}=x_i+2{x_i}^2\Lambda=0

so that

\displaystyle\sum_{i=1}^nx_i\dfrac{\partial L}{\partial x_i}=\sum_{i=1}^nx_i+2\Lambda\sum_{i=1}^n{x_i}^2=0

We know that \sum\limits_{i=1}^n{x_i}^2=36, so

\displaystyle\sum_{i=1}^nx_i+2\Lambda\sum_{i=1}^n{x_i}^2=0\implies\sum_{i=1}^nx_i=-72\Lambda

Solving the first n equations for x_i gives

1+2\Lambda x_i=0\implies x_i=-\dfrac1{2\Lambda}

and in particular

\displaystyle\sum_{i=1}^nx_i=-\dfrac n{2\Lambda}

It follows that

-\dfrac n{2\Lambda}+72\Lambda=0\implies\Lambda^2=\dfrac n{144}\implies\Lambda=\pm\dfrac{\sqrt n}{12}

which gives us

x_i=-\dfrac1{2\left(\pm\frac{\sqrt n}{12}\right)}=\pm\dfrac6{\sqrt n}

That is, we've found two critical points,

\pm\left(\dfrac6{\sqrt n},\ldots,\dfrac6{\sqrt n}\right)

At the critical point with positive signs, f(x_1,\ldots,x_n) attains a maximum value of

\displaystyle\sum_{i=1}^nx_i=\dfrac{6n}{\sqrt n}=6\sqrt n

and at the other, a minimum value of

\displaystyle\sum_{i=1}^nx_i=-\dfrac{6n}{\sqrt n}=-6\sqrt n

4 0
4 years ago
Please help i dont get thissss!!!
pav-90 [236]

Answer:

37.62 degrees + 47.87 degrees = 85.49 degrees

Step-by-step explanation:

For this question we are trying to find the "absolute value" between these 2 numbers, because one of the numbers are negative and the other one is positive, we are going to add both of them together. That is how we got 85.49. In a different equation, we might have done something different.

8 0
3 years ago
Will has a box of popsicles. There 3 lime popsicles, 3 cherry popsicles, and 2 blueberry popsicles. What is the probability that
Brums [2.3K]
It is likely that will would pull out a lime Popsicle and its unlikely that will would pull out a blueberry popsicle
7 0
4 years ago
Read 2 more answers
PLEASE HELP WILL GIVE BRAINLIEST!!!!!!!!!
Ann [662]

Answer:

D

Step-by-step explanation:

D is on the same plane as A, B, and C

4 0
3 years ago
Read 2 more answers
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