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Vikentia [17]
3 years ago
10

583.31 divided by 7 minus 7.46 is closest to _____ of 100.

Mathematics
1 answer:
ValentinkaMS [17]3 years ago
6 0
First, 7 x 10 = 70, you now have 30 left, 7 x 4 = 28. 10 + 4 = 14 with a remainder of 2. That is your answer though many would put “14 2/7” as the answer with the 2 over the 7 because its the remainder over what was getting divided first. thus 100/7 is has the remainder of 2 with the quotient 14.
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Find the volume of the wedge-shaped region contained in the cylinder x2 + y2 = 49, bounded above by the plane z = x and below by
fiasKO [112]
\displaystyle\iiint_R\mathrm dV=\int_{y=-7}^{y=7}\int_{x=-\sqrt{49-y^2}}^{x=0}\int_{z=x}^{z=0}\mathrm dz\,\mathrm dx\,\mathrm dy

Converting to cylindrical coordinates, the integral is equivalent to

\displaystyle\iiint_R\mathrm dV=\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}\int_{z=r\cos\theta}^{z=0}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta
=\displaystyle\int_{\theta=\pi/2}^{\theta=3\pi/2}\int_{r=0}^{r=7}-r^2\cos\theta\,\mathrm dr\,\mathrm d\theta
=-\displaystyle\left(\int_{\theta=\pi/2}^{3\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=7}r^2\,\mathrm dr\right)
=\dfrac{2\times7^3}3=\dfrac{686}3
4 0
3 years ago
the number of kilometers a car can drive varies directly with the liters of fuel in the car. this car can travel 476 kilometers
notka56 [123]

For this case we have that the relationship is direct.

Therefore, we have:

y = k * x

Where,

y: distance traveled in kilometers

x: number of liters of fuel

k: proportionality constant

We must look for the value of k. For this, we use the following data:

This car can travel 476 kilometers on 17 liters of fuel.

Substituting values we have:

476 = k * 17

From here, we clear the value of k:

k = \frac{476}{17}\\k = 28

Therefore, the relationship is:

y = 28x

For 1428 kilometers we have:

1428 = 28x

Clearing the amount of fuel we have:

x = \frac{1428}{28}\\x = 51

Answer:

51 liters of fuel are required for the vehicle to travel 1,428 kilometers

3 0
3 years ago
A Mercedes can go 78 miles on 3 gallons of gas. How far can it go with a full tank of 16 gallons?
Alex787 [66]

Answer:

416 miles

Step-by-step explanation:

78 divided by 3 = 26

26 x 16 = 416

5 0
2 years ago
You just received your final exam score from your teacher. At the top of the exam, it says you missed three questions and got 42
Leno4ka [110]

Answer:

below

Step-by-step explanation:

I would guess that they added 42 and 45 and then added 1 for their mistake. That might be a bit of stretch, but that is what I think

3 0
3 years ago
Read 2 more answers
Helpppppppopooppp pleassseee
Klio2033 [76]

Answer:

point p. ok. vrvxfff77t.

3 0
3 years ago
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