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pochemuha
3 years ago
7

A pool can be filled bye one pipe in 10 hours and by a second pipe in 15 hours. How long will it take using both pipes to fill t

he pool?
Mathematics
1 answer:
forsale [732]3 years ago
4 0

Answer:

it will take 25 hours

Step-by-step explanation: add 10 and 15

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PLEASE HELP ASAP GEOMETRY 20 PTS REAL ANSWERS ONLY
kodGreya [7K]

Answer:

Step-by-step explanation:

Use the Law of Cosines to find the measure of angle A from the lengths of the sides.

A = arccos[(b²+c²-a²)/(2bc)] ≅ 29.9°

B = arccos[(a²+c²-b²)/(2ac)] ≅ 54.8°

C = 180 - A - B = 95.3°

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3 years ago
Use the normal distribution to find a confidence interval for a proportion p given the relevant sample results. Give the best po
s344n2d4d5 [400]

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Step-by-step explanation:

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3 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
A solid sphere, solid cylinder, and a hollow pipe all have equal masses and radii. If the three of them are released simultaneou
artcher [175]

Answer:

Solid Sphere

Step-by-step explanation:

According to the question, the three shapes have equal masses (m), radii (R) (and diameter).

The shape with the least mass moment of inertia will have the highest acceleration

Let IC represents Inertia

According to calculations, the inertia of

Solid Sphere: IC=(2/5)mR²

Solid Cylinder: IC=½mR²

Hollow Pipe: IC=⅔mR²

Where m = mass of the shape

And R is the Radius of the shape

By comparison, the solid sphere has the least mass of inertia and hollow Pipe has the most mass of inertia.

So, solid sphere will get to the bottom first.

3 0
4 years ago
Please please use explanation with answer
KIM [24]

Answer:

\large\boxed{\theta=-\dfrac{\pi}{4}+k\pi\ or\ \theta=k\pi}\ for\ k\in\mathbb{Z}

Step-by-step explanation:

\tan^2\theta+\tan\theta=0\\\\\tan\theta(\tan\theta+1)=0\iff\tan\theta=0\ \vee\ \tan\theta+1=0\\\\\tan\theta=0\Rightarrow \theta=k\pi\ \text{for}\ k\in\mathbb{Z}\\\\\tan\theta+1=0\qquad\text{subtract 1 from both sides}\\\\\tan\theta=-1\Rightarrow\theta=-\dfrac{\pi}{4}+k\pi\ \text{for}\ k\in\mathbb{Z}

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3 years ago
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