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nikdorinn [45]
3 years ago
14

Which statement, if any, can you prove based on the figure below?

Mathematics
1 answer:
KengaRu [80]3 years ago
3 0
The answer is D because both of those answer choices can be proved by looking at the triangle
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The mass, m grams, of a radioactive substance, present at time t days after first being observed, is given by the formula m=24e^
Reika [66]

Answer:

(i) The value of<em> m</em> when t = 30 is 13.2

(ii) The value of <em>t</em> when the mass is half of its value at t=0 is 34.7

(iii) The rate of the mass when t=50 is -0.18            

Step-by-step explanation:

(i) The <em>m</em> value when t = 30 is:

m = 24e^{-0.02t} = 24e^{-0.02*30} = 13.2

Then, the value of<em> m</em> when t = 30 is 13.2

(ii) The value of the mass when t=0 is:

m_{0} = 24e^{-0.02t} = 24e^{-0.02*0} = 24    

Now, the value of <em>t </em>is:

ln(\frac{m_{0}/2}{24}) = -0.02t

t = -\frac{ln(\frac{24}{2*24})}{0.02} = 34.7

Hence, the value of <em>t</em> when the mass is half of its value at t=0 is 34.7

(iii) Finally, the rate at which the mass is decreasing when t=50 is:

\frac{dm}{dt} = \frac{d}{dt}(24e^{-0.02t}) = 24(e^{-0.02t})*(-0.02) = -0.48*                            (e^{-0.02*50}) = -0.18

Therefore, the rate of the mass when t=50 is -0.18.

I hope it helps you!                  

3 0
3 years ago
Alberto has 92 stamps in one large album and 38 stamps in another small album. How can he use mental math to find how many more
tatyana61 [14]

Answer:

54

Step-by-step explanation:

92 - 38 = 54

      or

90 - 36 = 54

5 0
3 years ago
Add.<br> 92 +53<br> Enter the correct answer in the box.
Alja [10]

Answer:

145

Step-by-step explanation:

4 0
3 years ago
Why is it important to look at more than just the first two numbers of a pattern to decide the rule for a pattern?
poizon [28]
Sometimes there is division involved which may seem the same for the first two, but is different for the rest.

please choose brainliest :]
4 0
4 years ago
Read 2 more answers
7 A. Solid cubical block is 24cm long find its volume​
Rzqust [24]

Answer:

13824 cm ^3

Step-by-step explanation:

Cubical block volume= 24 x 24 x 24

3 0
3 years ago
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