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3 years ago

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:

Step-by-step explanation: