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7nadin3 [17]
3 years ago
10

Plutonium-240 decays according to the function Q(t)=Q(subscripto)e^(-kt) where Q represents the quantity remaining after t years

and k is the decay constant, 0.00011... How long will it take 27 grams of plutonium-240 to decay to 9 grams? A.) 1.44 years B.) 18,900 years C.) 9,990 years D.) 2,100 years
Mathematics
2 answers:
svetoff [14.1K]3 years ago
7 0
<span>The answer is 9,990 years. Using the exponential decay question, we can figure out how long it will take Plutonium-240 to decay from 27 grams to 9 grams. Setting the equation up looks like this, 9 = 27 e^ (-0.00011 t). From this you get, 0.333333 = e ^(-0.00011 t). Next, you simplify by dividing both sides by the natural log, -1.0986 = -0.00011 t. Finally, you solve by dividing both sides by -0.00011, giving 9,987 years for t, rounded up to 9,990 years.</span>
laila [671]3 years ago
6 0

Answer:9,990 years


Step-by-step explanation:


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Jayden has $1.20 worth of nickels and dimes. He has twice as many nickels as dimes. Determine the number of nickels and the numb
melamori03 [73]

Answer:

Total number of dimes=6

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Step-by-step explanation:

The expression for the total value of money Jayden has is;

Nickels have a value of= $0.05

Dimes have a value of= $0.10

Total value=(value of nickels×number of nickels)+(value of dimes×number of dimes)

where;

Total value=$1.20

Value of a nickel=$0.05

number of nickels=y, but y=2 x

Value of a dime=0.10

number of dimes=x

replacing;

1.20=(0.05×2 x)+(0.1×x)

0.1 x+0.1 x=1.2

0.2 x=1.2

x=1.2/0.2

x=6

y=2 x=2×6=12

Total number of dimes=6

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3 years ago
Kenya is solving the equation 5 3/4 - 1/6x = 4 1/2. She gets to 1 1/4 = 1/6x. Is this a valid way to solve the equation? answer
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Answer:

15/2

Step-by-step explanation:

5 3/4 - 1/6x = 4 1/2

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change the subtracting side to have common denominators

5 3/4 - 4 2/4 = 1/6x

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divide both sides by 1/6, same thing as multiplying both sides by 6 (reciprocal)

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