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otez555 [7]
3 years ago
14

How many sides can two congruent angles share

Mathematics
1 answer:
rjkz [21]3 years ago
5 0
8 i think the answer
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$700 at 3% for 4 years find the interest earned
lara [203]

Answer:

84$

Step-by-step explanation:

700*0.03*4

8 0
3 years ago
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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

So

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
Plz hellppppp me u won’t regret it
nexus9112 [7]

Answer:

Area of circle = 200.96 units²

Step-by-step explanation:

The formula to find the area of a circle is: πr², where r is the radius (which is half of the diameter)

So the diameter is 16 and of 16 is 8, which is the radius.

Sub it into the formula of a circle and you would get the area of a circle.

3.14 x 8²

Use calculator

Area of circle = 200.96 units²

8 0
2 years ago
1350mm convert to inches
Alona [7]
1350 millimeters is equivalent to approximately 53.15 inches
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Need help ASAP midterm <br> - 40 points .
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Answer:

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Step-by-step explanation:

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