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3 years ago

12

Suppose i uncharacteristically give you a multiple-choice test with 10 questions, each having 5 possible answers. how many possi

ble ways could you fill out this test assuming you are required to give exactly one answer to every question?

1 answer:

vodka [1.7K]3 years ago

8 0

9765625 different ways. Do 5 to the 10th power.

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A rectangular pyramid has a height of 15 cm. What is the volume of the rectangular pyramid in cubic feet?

Sergio039 [100]

Answer:

The answer is 360

Step-by-step explanation:

the formula for the volume of a rectangular based pyramid is 1/3 times the base area times the height and the height is given as 15 cm the base parameters are 9 and 8 respectively so deep area of the rectangular base is 9 * 8 * 15 that is 1080 x 1/3 which is 360

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2 years ago

Evaluate the line integral, where c is the given curve. c y3 ds,

postnew [5]

Parameterizing $\mathcal C$ by

$\mathbf r(t)=(t^3,t)$

with $0\le t\le2$ , we have

$\mathrm ds=\|\mathbf r'(t)\|\,\mathrm dt=\sqrt{(3t^2)^2+1^2}\,\mathrm dt=\sqrt{9t^4+1}\,\mathrm dt$

So

$\displaystyle\int_{\mathcal C}y^3\,\mathrm ds=\int_{t=0}^{t=2}t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_0^236t^3\sqrt{9t^4+1}\,\mathrm dt$
$=\displaystyle\frac1{36}\int_{u=1}^{u=145}\sqrt u\,\mathrm du$
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3 years ago

X+5-8x=26<br> Solve for x

salantis [7]

X = -3

Pull out the like terms: -7x - 21 = -7 × ( x + 3)

Solve: -7 = 0

Solve: x + 3 = 0

Subtract 3 from both sides of the equation

So, x = -3

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3 years ago

Read 2 more answers