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2 years ago

Please help me on these problems

Mathematics

1 answer:

lukranit [14]2 years ago

6 0

Answer:

a=1 because 3x means 3 multiply 2 and it is substracted from 7 and 7-6 is 1

b=3

c=9

Step-by-step explanation:

hope you will understand from the explanation of a

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Evaluate the triple integral_E x^6e^y dV where E is bounded by the parabolic cylinder z = 25 - y^2 and the planes z = 0, x = 5,

Nimfa-mama [501]

Nothing crazy here, just a matter of figuring out the limits of integration.

$\displaystyle\iiint_Ex^6e^y\,\mathrm dV=\int_{-5}^5\int_{-5}^5\int_0^{25-y^2}x^6e^y\,\mathrm dz\,\mathrm dy\,\mathrm dx$

$=\displaystyle\int_{-5}^{-5}\int_{-5}^5x^6e^y(25-y^2)\,\mathrm dy\,\mathrm dx$

$=\displaystyle\left(\int_{-5}^5x^6\,\mathrm dx\right)\left(\int_{-5}^5e^y(25-y^2)\,\mathrm dy\right)=\boxed{\frac{625,000(3+2e^{10})}{7e^5}}$

4 0

2 years ago

A semicircular archway is built in front of a garden using 8 congruent granite tiles, as shown in the diagram. Find the area of

crimeas [40]

So there's 8 tiles.
Radius from archway to the outer edge would be : 7 +1 = 8ft

You can use this formula to count the area of semi circle : π r^2/2

A = 3.14 x 8ft^2 = 100.48 ft ^2
A = 3.14 x 7ft^2= 76.92 ft^2

100.48 - 76.92 = 23.55 ft^2

Then you have to divide it with the total tiles
23.55/8 = 2.94 ft^2 per tile >> (rounded to nearest tenth)

hope this helps

5 0

3 years ago

(08.01 MC)

Juli2301 [7.4K]

Answer:

d. 27 cubic feet

Step-by-step explanation:

volume of cube = s^3 = B * s

volume of pyramid = (1/3) * B * h

The volume of a pyramid is 1/3 of the area of the base multiplied by the height. The volume of a cube is the area of the base multiplied by the height. Since the volume of a pyramid has the fraction 1/3 and the volume of the cube does not, then the volume of a cube is 3 times greater than the volume of a pyramid that fits inside and has the same base area.

volume of pyramid = 9 cu ft

volume of cube = 3 * 9 cu ft = 27 cu ft

Answer: d. 27 cubic feet

4 0

3 years ago

Read 2 more answers

A homeowner is installing a swimming pool. You have been asked to install a circuit to operate a 600-watt underwater light and a

insens350 [35]

Answer:

The answer is given below

Step-by-step explanation:

The loads in the circuit are continuous duty, so the circuit can only loaded to 80% of its current rating.

Calculate 80% current rating of the circuit breaker.

Icb = [ 80/100] (20 A)

= (O.8) (20 A )

= 16 A

Now we assume that the value of supply voltage is 120 V

Now we will calculate current flows via under water light which will be taken as Load 1

Ii = 500 W/120 V

= 4.167 A

Current via the circulating pump which will be taken as Load 2 IS 8.5 A

I = load1 + load 2

= 4.167 A + 8.5 A

= 12.67 A

The total current in the circuit obtained which is less than the circuit breaker rating current. Therefore, the power can be operated for both the loads.

3 0

3 years ago

Find the area of a regular hexagon

xxMikexx [17]

<h2>Answer:</h2><h2>42 cm^2</h2>

please see the attached picture for full solution

hope it helps...

Good luck on your assignment....

4 0

2 years ago