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s344n2d4d5 [400]
3 years ago
14

1. Isiah wants to bring cupcakes for 54 of his friends. One box of cupcakes is

Mathematics
1 answer:
AleksandrR [38]3 years ago
6 0

Answer:

6 boxes.

Step-by-step explanation:

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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
Express 3km 2m as a decimal of 1km.
puteri [66]

Answer:

3.002 km

Step-by-step explanation:

1000 m = 1 km

1 m = 0.001 km

3 km + 2 m = 3 km + 2(0.001 km)

3 km + 2(0.001 km) = 3.002 km

6 0
3 years ago
Each month at Sea Stars, the
Tom [10]

Answer:

A good rule is to change 10 to 15 percent of the water each week. If your tank is heavily stocked, bump that up to 20 percent each week. A lightly stocked aquarium can maybe get by for two to four weeks, but this should be the maximum length of time between water changes.

Step-by-step explanation:

This is the correct answer you want

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4 0
3 years ago
A deposit $400 into an account that pays simple interest ta a rate of 3% per year how much interest will be paid in the first 5
ValentinkaMS [17]

Answer:

$60

Step-by-step explanation:

This is because 400 times 0.03 is 12 and 12 times 5 is 60

6 0
3 years ago
HELPPPPPPPPPPPPPPPPPPP
leonid [27]

Answer:

x=4

DE=33

CD=11

Step-by-step explanation:

4 0
3 years ago
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