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3 years ago

solve the formula for calculating the perimeter of a parallelogram with sides b and c for c p = 2b+2c

Mathematics

2 answers:

Aleonysh [2.5K]3 years ago

7 0

The answer is P/2-b=c.

Airida [17]3 years ago

5 0

P = 2b+2c
-2b -2b

p -2b =2c
/2 /2

p/2 -b =c

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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:

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

Step-by-step explanation:

Exponential Decay Function

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.

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3 years ago

Read 2 more answers

2. CAN SOMEONE PLEASE HELP ME? I'M NOT GOOD IN MATH. Explain your work

Elodia [21]

Answer:

Step-by-step explanation:

Since triangles ABC and CDB are similar, CD and CB is the same as the ratio between CB and CA. 15:9=x:15. x=25. Subtracting CD to just be left with AD, we get 25-9=16, or answer choice D. Hope this helps!

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11111nata11111 [884]

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Step-by-step explanation:

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100\400 As a percentage

finlep [7]

25% because if you simplify the fraction, it would be 1/4 and that is equal to 0.25

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Can someone help me in #66

VladimirAG [237]

$\bf log_{{ a}}(xy)\implies log_{{ a}}(x)+log_{{ a}}(y)
\\ \quad \\
% Logarithm of rationals
log_{{ a}}\left( \frac{x}{y}\right)\implies log_{{ a}}(x)-log_{{ a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{ a}}\left( x^{{ b}} \right)\implies {{ b}}\cdot log_{{ a}}(x)\\\\
-------------------------------\\\\
$

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3 years ago