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Marat540 [252]
3 years ago
13

A scientist has a sample of the radioactive isotope bismuth-212. The isotope decays exponentially as shown in the table. Time (s

econds) Mass (grams) 10 26.8 20 23.9 30 21.3 40 19.0 50 16.9 60 15.1 Which equation best represents the curve of best fit for this set of data? A. f(x) = 29 • 0.989x B. f(x) = 27 • 1.011x C. f(x) = 30 • 0.989x D. f(x) = 28 • 0.234x
Mathematics
1 answer:
luda_lava [24]3 years ago
7 0

Answer:

f(x) = 30 • 0.989x

Step-by-step explanation:

Given the data :

10 26.8

20 23.9

30 21.3

40 19

50 16.9

60 15.1

Using technology, the exponential model equation obtained by plotting the data is :

y = 30.068(0.989)^x

Based on the general exponential formula :

y = ab^x

y = predicted value

Initial value, a = 30.068

Rate = b = 0.989

The most appropriate model equation from the options given is :

f(x) = 30 • 0.989^x

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Solve. 4.75t + 5 = 13.5t + 12 The solution is t = .
Eddi Din [679]
Answer: t= -0.799
This can also be written as t= -0.8

How to do it :

4.74t+ 5 = 13.5t + 12

first, subtract 4.74t from both sides
5= 8.76t + 12

next, subtract 12 from each side
-7 = 8.76t

next, divide 8.76 from each sides

-0.799 = t
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2 years ago
James recycled 22 1/2 pounds of aluminum in one week. Matt recycled 18 3/7 pounds of aluminum the same week. How many more pound
guajiro [1.7K]

Answer:

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4 years ago
What is the equation of a line that passes through the point (1, 8) and is perpendicular to the line whose equation is y=x/2+3 ?
Svet_ta [14]

<u>Answer</u>

y = -2x + 10


<u>Explanation</u>

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3 years ago
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Answer:


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