1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
siniylev [52]
3 years ago
11

2. The number of atoms of a particular chemical element is modelled by

Mathematics
1 answer:
____ [38]3 years ago
6 0

9514 1404 393

Answer:

  a) 600

  b) see below

  c) 1.26 hours

Step-by-step explanation:

a) The value of y when x=0 is the coefficient of the exponential term:

  y = 600·3^(-0) = 600·1 = 600

There were 600 atoms to start.

__

b) see attached for a graph

__

c) The graph shows 150 atoms at t = 1.26, about 1.26 hours after the start of time counting.

If you want to find that value algebraically, substitute for y and solve for x. Logarithms are involved.

  150 = 600·3^(-x)

  150/600 = 3^(-x)

  log(1/4) = -x·log(3)

  x = -log(1/4)/log(3) = log(4)/log(3) ≈ 1.2618595

After about 1.26 hours, there were 150 atoms.

You might be interested in
Write the slope - intercept form of the equation of each line through the points -2,5) and (0,-2)​
grin007 [14]
Gradient (m) = change in y/change in x
-2-5/0–2 = 3.5
gradient (m) = 3.5
Now evaluate one of the coordinates and the gradient in the equation
y = mx + c
-2 = 3.5(0) + c
c = -2
so the answer is
y = 3.5x -2
3 0
2 years ago
Find the slope of the line that contains the following ordered pairs (4,2) (7,6.5)
klio [65]

Answer:

4.5/3 or 1.5

Step-by-step explanation:

slope formula: (y2-y1)/(x2-x1)

(6.5-2)/7-4)=4.5/3... you can further simplify to 1.5.

8 0
2 years ago
Four points are labeled on the number line. K L M N + 0.5 0 Which point best represents ? colm ? Point 2 Point M Point K Point N
MakcuM [25]

Answer:

point k and point n

K L M N

Step-by-step explanation:

6 0
3 years ago
Can anyone figure this out???
Anestetic [448]
It’s a right triangle because it has a 90 degree angle
5 0
3 years ago
Read 2 more answers
Plsss helppppp I’ll mark u brainlist no links pls
Basile [38]

Step-by-step explanation:

you flip it from the line, match the letters (Z woube be C, X would be A, etc.) and then writw the new coordinates

3 0
3 years ago
Other questions:
  • 11c) Find the values for a and b.
    12·1 answer
  • how do you find the radius of a cylinder given the volume and height ? If the volume of a cylinder 100 cubic feet and height 10f
    6·1 answer
  • What three numbers come next 2.4, 3.2, 4.0, 4.8...
    9·2 answers
  • Two classmates are preparing research papers and are organizing their information on index cards.
    10·1 answer
  • PLEASE HELP!!! See attachment
    12·1 answer
  • 1/3 the weight of beef and 1/4 the weight of chx make up 54 3/4 pounds of meat he has. if he has a total of 194 1/2 pounds of be
    14·1 answer
  • Please help !!! i don’t know how to write down the number of tiles :(
    11·1 answer
  • Unit 1 Lesson 2 - Exit Ticket - Geometry
    14·1 answer
  • The 12th term of an arithmetic sequence is 29 and the 32nd term is 169. What is the the 25th term?
    11·1 answer
  • This claim is to be investigated at .01 levels. “Forty percent or more of those persons who retired from an industrial job befor
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!