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SIZIF [17.4K]
3 years ago
7

(a)

Mathematics
1 answer:
Umnica [9.8K]3 years ago
5 0
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The area of a circle is 49π m2. What is the radius?
olga55 [171]

Answer: r= 3.95

Explanation: A=πr2

5 0
4 years ago
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A certain brand of upright freezer is available in three different rated capacities: 16 ft3, 18 ft3, and 20 ft3. Let X = the rat
Mrac [35]

Answer:

E(X) = 17.4

Step-by-step explanation:

We can calculate the expected value of a random X variable that is discrete (X takes specific values ) as:

E(X) =  ∑xp(x)  where x are the specific values of x and p(x) the probability associated with this x value.

In this way the expexted value is

E(X) =  ∑xp(x) =(16*0.6)+(18*0.3)+(20*0.2) = 8+5.4+4 =  17.4

5 0
3 years ago
what is the general equation of cosine function with a amplitude of 3 a period of 4pi and a horizontal shift of - pi
kicyunya [14]
The general form of such an equation will be
f(x)=A\cos\left(\dfrac{2\pi(x-B)}{C} \right)+D
where
  A = amplitude (3)
  B = horizontal shift to the right (-π)
  C = period (4π)
  D = vertical offset (0)

Your equation will be ...
f(x)=3\cos\left(\dfrac{x+\pi}{2}\right)

4 0
3 years ago
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Solve for x in the equation -2/5 x = 12
MrRissso [65]

Answer:

x= -30

Step-by-step explanation:

4 0
2 years ago
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If a cube with a 5-in side length is sliced in half. What is the surface area of the two pieces?
nydimaria [60]

 Hello there!

1.) To start, first know that a cube has the same height, length, and width, meaning that all of the dimensions are 5-in. Then, when you slice it in half, this would mean that you have now reduced the width to half of its original. This would mean that the width is now 2.5 while the height and length remain 5.

Now that you have this information, you can now find the surface area by using this formula:

A= 2lw+2lh+2hw

Now plug in your values:

A=2(5)(2.5)+2(5)(5)+2(5)(2.5)

This would simplify to:

A=25+50+25

A=100 in squared

Therefore, the surface area of the two pieces are 100 inches squared.

2.) To start, first plug the measurements of the tank into the cylinder volume formula:

V=\pir^2h

V=\pi(2.75)^2(10)

V= 237.58 cubic feet

Now, we must find how long it will take the tank to empty if the rate is 3.7 cubic feet per minute so divide the volume (in feet) by the rate:

237.58/3.7= 64.2108...

Rounded to the nearest hundredth, it would take approximately 64.21 minutes to empty the take when it is full.

:)

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7 0
4 years ago
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