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Ahat [919]
3 years ago
11

What is the answer to -3/4 p= 1/2?

Mathematics
1 answer:
denpristay [2]3 years ago
4 0
Multiply each side by 4 to get p a whole number, you should get -3p=2
now divide each side by -3: p=-2/3
The answer is -2/3
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The base of a solid in the region bounded by the two parabolas y2 = 8x and x2 = 8y. Cross sections of the solid perpendicular to
Usimov [2.4K]

The two curves intersect at two points, (0, 0) and (8, 8):

x^2=8y\implies y=\dfrac{x^2}8

y^2=\dfrac{x^4}{64}=8x\implies\dfrac{x^4}{64}-8x=0\implies\dfrac{x(x-8)(x^2+8x+64)}{64}=0

\implies x=0,x=8\implies y=0,y=8

The area of a semicircle with diameter d is \dfrac{\pi d^2}8. The diameter of each cross-section is determined by the vertical distance between the two curves for any given value of x between 0 and 8. Over this interval, y^2=8x\implies y=\sqrt{8x} and \sqrt{8x}>\dfrac{x^2}8, so the volume of this solid is given by the integral

\displaystyle\frac\pi8\int_0^8\left(\sqrt{8x}-\dfrac{x^2}8\right)^2\,\mathrm dx=\frac{288\pi}{35}

6 0
3 years ago
Which expression is a sixth root of -1 + i√3?
Marat540 [252]

Answer: D

Step-by-step explanation:

By De Moivre's theorem, the argument will be 120 degrees, which is the same as the argument of -1+i \sqrt 3.

This isn't the case for the other 3 options.

5 0
2 years ago
The bill was $14.00. She left a 20% tip for the waitress. How much change did she get back from $20.00
drek231 [11]
20%=0.2
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3 0
3 years ago
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Answer:

option 3

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x = \frac{60}{9}

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3 0
2 years ago
Read 2 more answers
3n+22 +2n+38=180 m angle
s344n2d4d5 [400]
3n+2n= 5n
22+38=60
180-60=60
60=5n
n=12
8 0
3 years ago
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