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Galina-37 [17]
3 years ago
9

I only need help on number 6 plzzzz help

Mathematics
2 answers:
Gennadij [26K]3 years ago
4 0
That question is asking for the time so your answer will specifically be in hours. And I'm not sure if you divide or you multiply but I'm pretty sure the correct answer is dividing because tomorrow so cancel the miles they will be left with hours. I don't know if that makes sense to you but it kind of makes sense to me somehow.
nignag [31]3 years ago
4 0
64 minutes, because it is 1 hour and 4 minutes. Assuming that you need it in hours, because the speed there was given in miles per hour.
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Carbon-14 is a radioactive isotope that has a half-life of 5,730 years. Approximately how many years will it take for carbon-14
PilotLPTM [1.2K]

Answer:

<em>Carbon-14 will take 19,035 years to decay to 10 percent.</em>

Step-by-step explanation:

<u>Exponential Decay Function</u>

A radioactive half-life refers to the amount of time it takes for half of the original isotope to decay.

An exponential decay can be described by the following formula:

N(t)=N_{0}e^{-\lambda t}

Where:

No  = The quantity of the substance that will decay.

N(t) = The quantity that still remains and has not yet decayed after a time t

\lambda     = The decay constant.

One important parameter related to radioactive decay is the half-life:

\displaystyle t_{1/2}=\frac {\ln(2)}{\lambda }

If we know the value of the half-life, we can calculate the decay constant:

\displaystyle \lambda=\frac {\ln(2)}{ t_{1/2}}

Carbon-14 has a half-life of 5,730 years, thus:

\displaystyle \lambda=\frac {\ln(2)}{ 5,730}

\lambda=0.00012097

The equation of the remaining quantity of Carbon-14 is:

N(t)=N_{0}e^{-0.00012097\cdot t}

We need to calculate the time required for the original amout to reach 10%, thus N(t)=0.10No

0.10N_o=N_{0}e^{-0.00012097\cdot t}

Simplifying:

0.10=e^{-0.00012097\cdot t}

Taking logarithms:

ln 0.10=-0.00012097\cdot t

Solving for t:

\displaystyle t=\frac{log 0.10}{-0.00012097}

t\approx 19,035\ years

Carbon-14 will take 19,035 years to decay to 10 percent.

6 0
3 years ago
Read 2 more answers
find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut
Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

5 0
3 years ago
<img src="https://tex.z-dn.net/?f=f%20%2B%20523.89%20%20%3D%20812.57" id="TexFormula1" title="f + 523.89 = 812.57" alt="f + 523
Evgesh-ka [11]

Answer:

D.f=288.68

Step-by-step explanation:

f+ 523.89 = 812.57

subtract 523.89 from both sides

f+ 523.89-523.89 = 812.57-523.89

f = 288.68

8 0
3 years ago
Read 2 more answers
Please Answer!! Thanx❤️
katrin2010 [14]

Answer:

the answer is 8.5

Step-by-step explanation:

divide 85 by 10 to get 8.5 for all the dimension

8 0
3 years ago
Please no "files": Simplify. Express your answer as the given base raised to a single exponent.
Kipish [7]

Answer:

9^48

Step-by-step explanation:

when parenthesis are involved, you multiply the powers

6*8=48

5 0
2 years ago
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