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krek1111 [17]
3 years ago
12

Question: Carbon-11 has a half-life of about 20 minutes. If we start with 200 grams, how

Mathematics
1 answer:
irakobra [83]3 years ago
3 0

Answer:

C). 0.39 grams

Step-by-step explanation:

First find how many half-lifes are in 3 hours:

3 hours ÷ 20 minutes = 9 half-lifes

Find the total left:

0.5^9*200 ≈ 0.39

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Answer:96

Step-by-step explanation:24•16/4

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3 years ago
Find the LCM of 52 and 39
qwelly [4]
Lcm of 52 and 39 is 156
8 0
3 years ago
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A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
zepelin [54]

Answer:

340 degrees

Step-by-step explanation:

So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).

So the circumference of a circle = 2pi(r)

This means:

6 = 2pi(r)

Which means that

r = 6/2pi or r = 3/pi

Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:

Arc length is defined by: length = θr

Where θ is our angle value.

So lets plug in:

\frac{17}{3} = (angle)\frac{3}{\pi }

Multiply by pi to get:

\frac{17\pi }{3} = 3(angle)

Divide by 3 to get that:

θ = 17pi/9

So if we convert that from radians to degrees we get 340 degrees.

7 0
2 years ago
To make Diane's special punch it take 4 cups of juice for every 7 cups of Lime soda. How much juice will be needed if we have 21
stiks02 [169]

Answer:

Step-by-step explanation:

4 cups of J for every 7 cups of soda  4:7

21 cups of soda will take 12 cups of J

If you take the 7 and multiply by 3 you get the 21.

So you will need to multiply the 4 by the 3 to get the 12. You need to keep everything in proportion.

4:7   same as 12:21

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3 years ago
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