Decay constant: the ratio of the number of radioactive atoms in a population to the rate at which they are vanishing due to radioactive decay. The rate of change is determined by the equation dN/dt = N, where is the decay constant, assuming N is the size of a population of radioactive atoms at a particular time t and dN is the amount by which the population declines in time dt.
When this equation is integrated, N = N0et is obtained, where N0 is the starting population size of radioactive atoms at time t = 0. This demonstrates that the rate of population decay is dependent on the decay constant and is exponential.
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The decay constant: the ratio of the number of radioactive atoms in a population to the rate at which they are vanishing due to radioactive decay.
The rate of change is determined by the equation dN/dt = N,
where is the decay constant, assuming N is the size of a population of radioactive atoms at a particular time t and dN is the amount by which the population declines in time dt.
When this equation is integrated, N = N0et is obtained, where N0 is the starting population size of radioactive atoms at time t = 0. This demonstrates that the rate of population decay is dependent on the decay constant and is exponential.
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Find k if the line y = kx-5 passes through the point (-6,14).
Answer:
19/-6
Step-by-step explanation:
y=kx-5 (-6, 14)
14=k(-6)-5
14=-6k-5
-6k=14+5
-6k=19
k=19/-6
How to solve this equation
Answer:
[tex]\frac{y^{6}}{4x^{2} }[/tex]
Step-by-step explanation:
A group of 1,254 people are going on a boat tour. If each boat holds 8 people, how many boats will they need?
Answer:
Step-by-step explanation:
1254p(b/(8p))=156.75b
The number of boats must be an integer because you can’t have a fraction of a boat so
b=157
simplify the following expression, show all work you did to get the results
Answer:
(sqrt(7))/3 or decimal 0.8819171036881968635005385845464201419034197276941500601227781530...
Step-by-step explanation:
Simplify the following:
(sqrt(14))/(sqrt(18))
Hint: | Simplify radicals.
sqrt(18) = sqrt(2×3^2) = 3 sqrt(2):
(sqrt(14))/(3 sqrt(2))
Hint: | Multiply numerator and denominator of (sqrt(14))/(3 sqrt(2)) by sqrt(2).
Rationalize the denominator. (sqrt(14))/(3 sqrt(2)) = (sqrt(14))/(3 sqrt(2))×(sqrt(2))/(sqrt(2)) = (sqrt(14) sqrt(2))/(3×2):
(sqrt(14) sqrt(2))/(3×2)
Hint: | Multiply 3 and 2 together.
3×2 = 6:
(sqrt(14) sqrt(2))/6
Hint: | For a>=0, sqrt(a) sqrt(b) = sqrt(a b). Apply this to sqrt(14) sqrt(2).
sqrt(14) sqrt(2) = sqrt(14×2):
(sqrt(14×2))/6
Hint: | Multiply 14 and 2 together.
14×2 = 28:
(sqrt(28))/6
Hint: | Simplify radicals.
sqrt(28) = sqrt(2^2×7) = 2 sqrt(7):
(2 sqrt(7))/6
Hint: | In (2 sqrt(7))/6, divide 6 in the denominator by 2 in the numerator.
2/6 = 2/(2×3) = 1/3:
Answer: (sqrt(7))/3
21 divided by 4,857 with remainder
solve the question 7 _ 2 3/7
Answer:
Do you mean 7 - 2 and 3/7?
If so:
Convert the mixed numbers to improper fractions, then find the LCD and combine.
Exact Form:
32 /7
Decimal Form:
4. 571428
Mixed Number Form:
4 and 4 /7
Step-by-step explanation:
Have a great day!
Answer:
3.7 the answer.........
Sixty less than ten times ten
Answer:
40
Step-by-step explanation:
10x10=100
100-60=40
Hope this helps! :)
Help me please. I don’t understand at all. I’m stressing. Like what?!?!?!
Answer:
z = [tex]\sqrt{117}[/tex]
Step-by-step explanation:
find 'y' first by using the altitude rule:
y/4 = 9/y
cross-multiply:
y² = 4(9)
y² = 36
y = [tex]\sqrt{36}[/tex] = 6
Find 'z' by using the Pythagorean Theorem with legs equal to 6 and 9
6² + 9² = z²
36 + 81 = z²
117 = z²
z = [tex]\sqrt{117}[/tex]
CAN SOMEONE PLEASE HELP ME!!!!!!!!!
Answer:
12(m +1) > 18m - 3
12m + 12 > 18m - 3
12+3 > 18m - 12m
15 > 6 m.
m < 15/6
m < 2.5
4th option is correct.
Answer:
{m| m < 2.5}
Step-by-step explanation:
m < 2 1/2,m < 2.5 , m ∑ [-∞, 5/2]
hope that helped!
A map of Levi’s property is being made with a scale of 4 centimeters: 6 meters. What is the scale factor?
Find the missing lengths or missing angles
Answer:
18
Step-by-step explanation:
its an isoceles triangle, the two sides (NP and Q) are equal
Answer:
18
Step-by-step explanation:
Graph the line passing through (6,−2) whose slope is m=−3
Answer:
Step-by-step explanation:
When you know the slope m of a line and a point (x₀,y₀) on the line, you can write an equation for the line in "point-slope" form:
y-y₀ = m(x-x₀)
In your case,
y+2 = -3(x-6)
The line is easier to graph if you rearrange the equation to solve for y:
y = -3x+16
You know that (0,16) is one of the points on the line.
Plot the two points that you know, (6,-2) and (0,16), then draw a line through them.
If Mary has a $140 balance in her bank account before she pays a utility bill. After the bill is paid she has a new balance of and overdraft balance of (-$35). How much was the utility bill?
Answer:
I think 105......
Step-by-step explanation:
I hope I'm right and good luck
It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how long can you rent the boat? CLEAR CHECK 6.6 hours 5 hours 313 hours 8 hours
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply.
7 x + 4 and 3 x + 5 + 4 x minus 1
-When x = 2, both expressions have a value of 18.
-The expressions are only equivalent for x = 4 and x = 6.
-The expressions are only equivalent when evaluated with even values.
-The expressions have equivalent values for any value of x.
-The expressions should have been evaluated with one odd value and one even value.
-When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
-The expressions have equivalent values if x = 8.
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
help pls!!!!!!!!!!!!!!!!
Answer:
b 3.13
Step-by-step explanation:
did this beofer
Answer:
B = 3.13
Step-by-step explanation:
The graph below shows it's peak/highest which takes about 1.5 seconds. Then it take about 3.13 seconds to hit the ground.
Therefore your answer is B - 3.13
what THE fRiCk is 3 3/4 as a fraction Bigger than 1
Answer:
I am pretty sure that it is.
Step-by-step explanation:
Isn't 3 bigger than 1
Well i hope this helps
Have a great day!!!!!!!
Sydney bought 5 books for $79.75. If each book cost the same amount, find the price of each book.
Answer:
15.95
Step-by-step explanation:
Hope this helps
Answer:
398.75
Step-by-step explanation:
I multiplied 5 by 79.75 and got 398.75
7/6 x 2/5, then put in simplest form
Answer:
The answer would be 7/15 in the simplest form.
Step-by-step explanation:
Answer:
7/15
Step-by-step explanation:
7/6 x 2/5 = 7/15
Seven over fifteen can not be simplified. In decimal form, 7/15 can be written as, 0.66667.
How do you graph for the function Y= 3x-2
What is the slope-intercept form of the equation?
Answer:
y = 1/3x + 4/3
OR
y = 1/3x + 1 1/3
Hope this helps!! (Please give Brainliest if possible!!)
what is the solution f/4 = 12/5
Step-by-step explanation:
cross multiply
4(12) = 5f
48 = 5f
48/5 = f
9 3/5
3x – 4y = 31
y = -2x + 6
Answer:
x = 5
Step-by-step explanation:
3x – 4y = 31
y = -2x + 6
Plug in Y
3x – 4(-2x + 6) = 31
Distribute
3x +8x-24= 31
Add like terms
11x - 24 = 31
Add 24 on both sides
11x = 55
Divide both sides by 11
x = 5
We want to cover the poster with small stamps. We don't have any to begin with and we can't buy partial bags of stamps. Each bag of stamps 110.5 in covers . How many whole bags of stamps will we need to buy in order to completely cover the poster?
Answer:
2243.7?
Step-by-step explanation:
Answer:
not right i think
Step-by-step explanation:
At a summer camp, 5 out of 12 campers are signed up for horseback riding. If there are 432 campers at the camp, how many are signed up for horseback riding?
Answer:
The answer is 180.
Step-by-step explanation:
(5/12) x 432 = 180
Answer:
I just need points
Step-by-step explanation:
Miguel withdrew $20 per week from his bank account for 4 weeks. Which expression shows the change in his account balance?
A. -20+4
B. -20-4
C. -20x4
D. -20 ÷4
Answer:
c
Step-by-step explanation:
The expression that shows the change in Miguel's account balance is -20×4. Thus, option (C) is correct.
Given, Miguel withdrew $20 per week from his bank account for 4 weeks.
Since he withdrew money, the change in his account balance would be negative.
The expression -20 represents the amount he withdrew each week, and the -4 represents the number of weeks.
Multiplying 4 with the initial balance of -20 gives us the change in his account balance.
Therefore, the expression -20×4 correctly represents the change in Miguel's account balance.
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Can someone please help me
Answer:
the answer is d
Step-by-step explanation:
Answer:
It's either A or D but I don't know because I don't know where the 1 starts.
Step-by-step explanation:
Convertion
2 km lh to m/s
Answer:
[tex]\huge\boxed{2\dfrac{km}{h}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}}[/tex]
Step-by-step explanation:
[tex]1km=1,000m\\1h=3,600s\\\\2\dfrac{km}{h}=2\cdot\dfrac{1000m}{3600s}=2\cdot\dfrac{10m}{36s}=\dfrac{20}{36}\ \dfrac{m}{s}=\dfrac{20:4}{36:4}\ \dfrac{m}{s}=\dfrac{5}{9}\ \dfrac{m}{s}\approx0.56\dfrac{m}{s}[/tex]
b. Solve for x, given the
MZ2 = 9x + 6
Answer:
Step-by-step explanation:
hello :
9x+6 =60
9x+6-60 =60-60
9x -54 =0
9x -54+54 =+54
9x=54
x = 54/9
x= 6°
PLEASE HELP !! ILL GIVE BRAINLIEST *EXTRA POINTS*..
IM GIVING 40 POINTS !! DONT SKIP :((.
Answer:
Step-by-step explanation:
(1, -16) (2, -7)
(-7 + 16)/(2 - 1) = 9/1= 9
y + 16 = 9(x - 1)
y + 16 = 9x - 9
y = 9x - 25