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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How to solve this equation
Answer:
[tex]\frac{y^{6}}{4x^{2} }[/tex]
Step-by-step explanation:
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
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!!)
21 divided by 4,857 with remainder
Sixty less than ten times ten
Answer:
40
Step-by-step explanation:
10x10=100
100-60=40
Hope this helps! :)
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:
A map of Levi’s property is being made with a scale of 4 centimeters: 6 meters. What is the scale factor?
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
How do you graph for the function Y= 3x-2
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
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:
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]
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°
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:
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
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
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!!!!!!!
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
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
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]
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.
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.........
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
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!
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:
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
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.
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