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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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Pls help me help me pls ​
grin007 [14]

Answer:

Point B

Step-by-step explanation:

Lines given:

  • y= 2/5x - 1/2
  • y= -1/3x +2/3

x coordinate of intersection of given lines is:

  • 2/5x - 1/2= -1/3x+2/3
  • 2/5x+1/3x= 2/3 +1/2
  • 6/15x+5/15x= 4/6+3/6
  • 11/15x=7/6
  • x= 7*15/11*6
  • x= 35/22

For this value of x, the value of y is:

  • y= 2/5*35/22 - 1/2
  • y=14/22- 1/2
  • y= 3/22

As per graph point (35/22, 3/22) is point B

4 0
3 years ago
Select all of the following that are ordered pairs of the given function.
Tatiana [17]
F(x) is the same as y.......so basically ur subbing in ur points into the equation to see if it comes out equal.

f(x) = 3 - 2x.....(-2,-1)....x = -2 and f(x) = -1
-1 = 3 - 2(-1)
-1 = 3 + 2
-1 = 5.....this is not true, so it is not a solution

and that is how to do this problem.....

(-1,5)......this IS a solution
(0,3)......this IS a solution
(1,0)...this IS NOT a solution
(2,-1)...this IS a solution

8 0
3 years ago
Graph the points (0,-2), (4,0) and (2,0). If you want to create a parallelogram, which of the following points should used for t
MariettaO [177]

( 2 , - 2 )

................

................

................

8 0
2 years ago
Which is the slope of the line that passes through the points (3,17)(3,17) and (7,25)(7,25)?
PilotLPTM [1.2K]
The slope is 2, because you subtract the points 3,17 from 7,25 to get 8/4/ Simplify that into 2. 
4 0
3 years ago
Find slope<br><br> A.1/2<br> B.-1/2<br> C.-2<br> D.2
fomenos

Answer:

Option B, -1/2

Step-by-step explanation:

<u>The slope is change in y over change in x.</u>

<u />

<em>Since this line is facing downward, we already know that the slope is negative.</em>

<em />

<u>To find the ratio, find the change in y and divide the change in x.</u>

<em>Change in y = -1</em>

<em>Change in x = 2</em>

<em />

<u>Change in y over change in x:</u>  <em>-1/2</em>

Answer:  Option B, -1/2

6 0
3 years ago
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