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2 years ago

What is the least common multiple 6 and 12

Mathematics

2 answers:

Zolol [24]2 years ago

7 0

Answer:

Step-by-step explanation:

In-s [12.5K]2 years ago

3 0

Answer:

it's 6 I think I was never good at this

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Im pretty sure its 14^2

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4 years ago

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Standard form of y=7x+10

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3 years ago

Initially 100 milligrams of a radioactive substance was present. After 6 hours the mass had decreased by 3%. If the rate of deca

Hitman42 [59]

Answer:

The half-life of the radioactive substance is 135.9 hours.

Step-by-step explanation:

The rate of decay is proportional to the amount of the substance present at time t

This means that the amount of the substance can be modeled by the following differential equation:

$\frac{dQ}{dt} = -rt$

Which has the following solution:

$Q(t) = Q(0)e^{-rt}$

In which Q(t) is the amount after t hours, Q(0) is the initial amount and r is the decay rate.

After 6 hours the mass had decreased by 3%.

This means that $Q(6) = (1-0.03)Q(0) = 0.97Q(0)$ . We use this to find r.

$Q(t) = Q(0)e^{-rt}$

$0.97Q(0) = Q(0)e^{-6r}$

$e^{-6r} = 0.97$

$\ln{e^{-6r}} = \ln{0.97}$

$-6r = \ln{0.97}$

$r = -\frac{\ln{0.97}}{6}$

$r = 0.0051$

$Q(t) = Q(0)e^{-0.0051t}$

Determine the half-life of the radioactive substance.

This is t for which Q(t) = 0.5Q(0). So

$Q(t) = Q(0)e^{-0.0051t}$

$0.5Q(0) = Q(0)e^{-0.0051t}$

$e^{-0.0051t} = 0.5$

$\ln{e^{-0.0051t}} = \ln{0.5}$

$-0.0051t = \ln{0.5}$

$t = -\frac{\ln{0.5}}{0.0051}$

$t = 135.9$

The half-life of the radioactive substance is 135.9 hours.

6 0

3 years ago

K-17=-12 I need help solveing this

Fed [463]

Remember, you can do ANYTHING to an equaiton as long as you do it to BOTH SIDES

we can try to get k by itself bymaking that -17 into 0 since k+0=k

-17+17=0 right so

K-17=-12
add 17 to BOTH SIDES
K+17-17=17-12
K+0=5
K=5

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3 years ago

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What are the x and y intercepts for -2x+y=-2

SpyIntel [72]

Answer: The y intercepts would be: ( 0 , -2 ).

The x intercepts would be: ( 1 , 0 ).

Step-by-step explanation:

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3 years ago

What is the least common multiple 6 and 12​

What is the least common multiple 6 and 12