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Ronch [10]
3 years ago
12

The function Q(t)=Qoe^kt May be used to model radioactive decay. Q representing the quantity remaining after t years; k is the d

ecay constant. What is the decay constant for plutonium -240 if it's half-life is 6,300 years?
Mathematics
2 answers:
rewona [7]3 years ago
5 0

Answer:

A. -[ln(0.5)/6,300]

Step-by-step explanation:

Done on apex, it is correct.

Gnom [1K]3 years ago
3 0

Answer : The value of decay constant is, 1.1\times 10^{-4}\text{ years}^{-1}

Explanation :

Half-life of plutonium-240 = 6300 years

The expression used to calculate the rate constant is:

k=\frac{0.693}{t_{1/2}}

where,

k = decay constant

t_{1/2} = half-life

Now put all the given values in the above formula, we get:

k=\frac{0.693}{6300\text{ years}}

k=1.1\times 10^{-4}\text{ years}^{-1}

Therefore, the value of decay constant is, 1.1\times 10^{-4}\text{ years}^{-1}

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Inga [223]
Start by multiplying both sides by 2:n+4=12
Subtract 4 from both sides:n=8
5 0
3 years ago
Read 2 more answers
Y/7 +6=11 two step Equation
Dima020 [189]

Answer:

                  y = 35

Step-by-step explanation:

Step  1  :

           y

Simplify   —

           7

Equation at the end of step  1  :

  y          

 (— +  6) -  11  = 0

  7          

Step  2  :

Rewriting the whole as an Equivalent Fraction :

2.1   Adding a whole to a fraction

Rewrite the whole as a fraction using  7  as the denominator :

        6     6 • 7

   6 =  —  =  —————

        1       7  

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

y + 6 • 7     y + 42

—————————  =  ——————

    7           7  

Equation at the end of step  2  :

 (y + 42)    

 ———————— -  11  = 0

    7        

Step  3  :

Rewriting the whole as an Equivalent Fraction :

3.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  7  as the denominator :

         11     11 • 7

   11 =  ——  =  ——————

         1        7  

Adding fractions that have a common denominator :

3.2       Adding up the two equivalent fractions

(y+42) - (11 • 7)     y - 35

—————————————————  =  ——————

        7               7  

Equation at the end of step  3  :

 y - 35

 ——————  = 0

   7  

Step  4  :

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 y-35

 ———— • 7 = 0 • 7

  7  

Now, on the left hand side, the  7  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  y-35  = 0

Solving a Single Variable Equation :

4.2      Solve  :    y-35 = 0

Add  35  to both sides of the equation :

                     y = 35

One solution was found :

                  y = 35

8 0
3 years ago
You are doing a mark-recapture experiment to determine the population size of the MendAliens living on an island in my back yard
Nikitich [7]

Answer:

E

Step-by-step explanation:

When you perform an experiment on a population, the majority of the time, you cannot use the entire population, so instead you use a sample of that population.

In this case, you mark 130 MendAliens out of an unknown population. After that you capture 90, and see that 20 are marked. You can use this to assume that for every 90 MendAliens, you marked 20, so if you calculate that as a percentage, you would get 22.22%.

This means that you marked approximately 22% of the population, when you marked those 130 MendAliens. Using basic math, we can work backwards to calculate the total population.

Percentage (%) = Sample / Total

Inserting the values we know...

22.22% = 130 / Total

Rearranging the formula, we get...

Total = 130 / 22.22%

Since we know 22.22% is actually equal to (22.22 / 100)= 0.2222

Total = 130 / 0.2222

Total = 585

4 0
3 years ago
Anyone wanna help me with this??
elena-s [515]

Answer:

1.c

2.b

3. c

4.d

Step-by-step explanation:

leave an brainlest!

4 0
3 years ago
Find the value of x in the following figure. Show equations and work that lead to your answer.
UkoKoshka [18]

Answer:

x=7

Step-by-step explanation:

We have been given all exterior angles of a quadrilateral which is a polynomial having 4 sides


We know that sum of all exterior angles of a regular polygon is always 360 degree.

So we can all given exterior angles and set it equal to 360


(12x+37)+(12x-2)+(46)+(20x-29)=360

12x+37+12x-2+46+20x-29=360

12x+12x+20x+37-2+46-29=360

44x+52=360

44x=360-52

44x=308

divide both sides by 44

x=7

<u>Hence final answer is x=7.</u>



4 0
3 years ago
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