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2 years ago

A car travels at a constant speed of 20m/s.

Mathematics

1 answer:

Bad White [126]2 years ago

6 0

Answer:

Step-by-step explanation:

Let's convert either m/s to km/s, or km to meters.

I'll convert km to meters and solve.

8 minutes and 20 seconds

There are 1,000 meters/kilometer. We can write that as a conversion factor: (1000m/km)

(10km)(1000m/km) = 10,000 meters

At 20m/s, we see that: (10,000m)/(20 m/s) = 500 seconds

(1 minute/60 seconds)

(500s)*(1m/60s) = 8 1/3 minutes, or 8 minutes and 20 seconds

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An electrician charges a set fee of $50 for every house call and then charges an additional hourly rate. One day, the electricia

Serhud [2]

Answer:

$50+5t=C$

Step-by-step explanation:

Suppose the electrician spends t hours at the house working.

Amount charged for every house call by electrician = $50

The electrician earned a total of $400 for a 5 hour job.

Also, C denotes total cost of the electrician's services.

So, the equation for C in terms of t is given below.

$50+5t=C$

Here, $C=400$

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4 years ago

The table shows the data of a random sample of fish that were collected from and later released into a lake.

yan [13]

280 eels

92 + 56 + 52 = 200
eel = 56/200

56 *5     x
----- =   --------
200   *5 1000
56(5) = 280 x = 280

56/200 = 7/25
7/25 = 280/1000

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3 years ago

Latrell has $8 to spend on postcards. He wants to buy one large postcard and some small ones. Write and solve an inequality to d

fgiga [73]

I have had this worksheet

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4 years ago

Harvey collects rare marbles. he has 112 marbles in his collection. each tray holds an equal number of marbles. if he uses 7 tra

WARRIOR [948]

He used 7 trays to hold all the marbles with equal number each tray. That means, there will be 16 marbles for each tray. Therefore, the number of marbles he will display on 3 trays would be a total of 48 marbles. Hope this answers the question. Have a nice day.

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3 years ago

Find the flux of the following vector fields across the given surface with the specified orientation. You may use either an expl

BlackZzzverrR [31]

The tetrahedron passes through the intercepts (5, 0, 0), (0, 2, 0), and (0, 0, 10). Parameterize the surface (call it $\Sigma$ ) by

$\vec r(u,v)=(1-v)\langle5,0,0\rangle+v\left((1-u)\langle0,2,0\rangle+u\langle0,0,10\rangle\right)$

$\vec r(u,v)=\langle5(1-v),2(1-u)v,10uv\rangle$

with $0\le u\le1$ and $0\le v\le1$ . Take the normal vector to $\Sigma$ to be

$\vec r_v\times\vec r_u=\langle20v,50v,10v\rangle$

Then the flux of $\vec F(x,y,z)=\langle x,y,z\rangle$ across $\Sigma$ is

$\displaystyle\iint_\Sigma\vec F\cdot\mathrm d\vec S=\int_0^1\int_0^1\langle5(1-v),2(1-u)v,10uv\rangle\cdot\langle20v,50v,10v\rangle\,\mathrm du\,\mathrm dv$

$=\displaystyle\int_0^1\int_0^1100v\,\mathrm du\,\mathrm dv=\boxed{50}$

6 0

4 years ago