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Len [333]
3 years ago
10

If you know a car travels 30 km in 20 minutes you can find its

Mathematics
1 answer:
Daniel [21]3 years ago
8 0

Answer:

You can find its average speed.

Step-by-step explanation:

To find average speed you can divide distance by time which has been given.

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A________ has cross-sectional shapes, taken parallel to a base, that are similar
alexdok [17]

Answer:

I think it is C

Step-by-step explanation

<em>cube has equal sides and is parallel.</em>

3 0
2 years ago
Use lagrange multipliers to find the shortest distance, d, from the point (4, 0, −5 to the plane x y z = 1
Varvara68 [4.7K]
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be x+y+z=1.

You're minimizing d(x,y,z)=\sqrt{(x-4)^2+y^2+(z+5)^2} subject to the constraint f(x,y,z)=x+y+z=1. Note that d(x,y,z) and d(x,y,z)^2 attain their extrema at the same values of x,y,z, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.

The Lagrangian is

L(x,y,z,\lambda)=(x-4)^2+y^2+(z+5)^2+\lambda(x+y+z-1)

Take your partial derivatives and set them equal to 0:

\begin{cases}\dfrac{\partial L}{\partial x}=2(x-4)+\lambda=0\\\\\dfrac{\partial L}{\partial y}=2y+\lambda=0\\\\\dfrac{\partial L}{\partial z}=2(z+5)+\lambda=0\\\\\dfrac{\partial L}{\partial\lambda}=x+y+z-1=0\end{cases}\implies\begin{cases}2x+\lambda=8\\2y+\lambda=0\\2z+\lambda=-10\\x+y+z=1\end{cases}

Adding the first three equations together yields

2x+2y+2z+3\lambda=2(x+y+z)+3\lambda=2+3\lambda=-2\implies \lambda=-\dfrac43

and plugging this into the first three equations, you find a critical point at (x,y,z)=\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right).

The squared distance is then d\left(\dfrac{14}3,\dfrac23,-\dfrac{13}3\right)^2=\dfrac43, which means the shortest distance must be \sqrt{\dfrac43}=\dfrac2{\sqrt3}.
7 0
3 years ago
What is negative eight plus four​
goldenfox [79]

Answer:

-4

Step-by-step explanation:

- - - - - - - -

+ + + +

4 negatives cancel out and leave you with -4

6 0
3 years ago
Read 2 more answers
Develop an estimated multiple linear regression model that could be used to predict the alumni giving rate using the graduation
madam [21]
The answer to this question is false that's the answer
4 0
3 years ago
The scatter plot shows the relationship between the test scores of a group of students and the number of hours they spend on soc
Georgia [21]

Answer:

A: Not sure what A is called sorry. B is called the outliner. He could be generally better at the subject and understood it more, he could have cheated on his test. He could have simply guessed and got  lucky.

B: The longer he/she spent on social media the worse their test scores became.

Step-by-step explanation:

7 0
3 years ago
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