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3 years ago

Please help!

Mathematics

1 answer:

ArbitrLikvidat [17]3 years ago

5 0

Answer: The mean number of letters per word=5

The median number of letters per word=4.5

The outlier= There is no outlier.

Step-by-step explanation: Just took the test

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Determine whether or not the vector field is conservative. if it is, find a function f such that f = ∇f. if the vector field is

amm1812

$\dfrac{\partial f}{\partial x}=3y^2z^3\implies f(x,y,z)=3xy^2z^3+g(y,z)$

$\dfrac{\partial f}{\partial y}=6xyz^3+\dfrac{\partial g}{\partial y}=6xyz^3$
$\implies\dfrac{\partial g}{\partial y}=0\implies g(y,z)=h(z)$

$\dfrac{\partial f}{\partial z}=9xy^2z^2+\dfrac{\mathrm dh}{\mathrm dz}=9xy^2z^2$
$\implies\dfrac{\mathrm dh}{\mathrm dz}=0\implies h(z)=C$

$\implies f(x,y,z)=3xy^2z^3+C$

The potential function exists, so $\mathbf f$ is indeed conservative.

7 0

3 years ago

∫(sinxdx)/(sinx^3+cosx^3)

olga_2 [115]

I answered this but i couldn’t take multiple pictures. however i found a website with the same answer as me after i answered your question. here : https://www.quora.com/How-do-I-integrate-Integrate-sinxdx-sin-3x+cos-3x

3 0

2 years ago

PLS HELP ME, PLS THIS IS DUE FIRST CORRECT ANSWER GETS BRAINLIEST

mr_godi [17]

Answer:

C, D, F

Step-by-step explanation:

160/-5 is -32, so we just need to figure out what is equal to -32.

A. 32

B. -40

C. -32

D. -32

E. 32

F. -32

8 0

2 years ago

How do compute ratios like this like 1/4miles Sebastian runs in 1.6 minutes. How long did it take him to run one mile

Anit [1.1K]

It's easier to write if you convert 1/4 into 0.25.

$\frac{0.25mi}{1.6min} = \frac{1mi}{xmin}$

Then you use algebra to find that he ran the mile in 6.4 minutes.

7 0

3 years ago

Read 2 more answers

Suppose that a biker bikes into the wind for 84 miles and it takes him 7 hours. After a long rest, he returns (with the wind on

Jobisdone [24]

Answer:

Speed of the biker is 13 mph and that of wind is 1 mph.

Step-by-step explanation:

Given:

Time taken by the biker to cover a distance is 7 hrs when he was travelling against the speed of the wind.

Time taken to cover same distance is 6 hours when he was travelling with the speed of the wind.

We have to find the speed of the biker and that of the wind.

Let the speed of the biker is "b" mph

And the speed of the wind is "w" mph

As we know:

Distance = Product of speed and time

Re-arranging the above situation in terms of equation.

⇒ $(b-w)\times 7 = 84$ ⇒ $(b+w)\times 6 =84$

⇒ $7b-7w=84$ ...(i) ⇒ $6b+6w=84$ ...(ii)

Multiplying equation (i) with 6 and equation (ii) with 7 so that we can eliminate one variable that is "w" after adding both the equation.

⇒ $42b-42w=504$ equation (iii)

⇒ $42b+42w=588$ equation (iv)

⇒ Adding both the equations.

⇒ $84b=1092$

⇒ $b=\frac{1092}{84}$

⇒ $b=13$ mph.

Speed of the biker is 13 mph.

⇒ Plugging b=13 in equation (ii),we have:

⇒ $6b+6w=84$

⇒ $6w=84-6b$

⇒ $6w=84-6(13)$

⇒ $6w=84-78$

⇒ $6w=6$

⇒ $w=\frac{6}{6}$

⇒ $w=1$ mph.

Speed of the biker is 13 mph and the speed of the wind is 1 mph whenever the biker is with the speed of the wind the biker's speed increases by 1 mph and subsequently decreases when he is against the speed of the wind.

3 0

3 years ago