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Lostsunrise [7]
3 years ago
9

Simplify the product.

Mathematics
2 answers:
Marina86 [1]3 years ago
8 0
(x - 4)(x + 3) = x^2 + 3x - 4x - 12 = x^2 - x - 12
const2013 [10]3 years ago
6 0
In order to simplify the product, multiply the factors by taking the term in the first factor and multiplying it to every term in the second factor. Then take the second term in the first factor and multiply it to every term in the second factor. Add all terms and the correct answer is x^2 - x -12
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Which is the estimate of 2584?
Tema [17]
Not quite sure about the answer...maybe we should look for some better like problems....overall, Good luck. I'm sorry I tried to think the best I can..
8 0
3 years ago
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
THIS IS FOR 29 POINTS!!!!!
ivanzaharov [21]
So 52 words per 1 minute

364 words per x minute
52:1 as is 364:x so
divide 364 by 52 and get 7
she typed 7 minutes

so 40% means 40/100 or 4/10 

so 364=4/10
divide 364 by 2
364/2=182=2/10
multiply 182 by 5 ( to make 2/10 into 10/10) and get 910=words total to type

BUT WE WANT TO FIND WORDS LEFT so
910-364=546
she has 546 words left to type
5 0
3 years ago
Read 2 more answers
If n represents a number, then write an expression for the difference of three times the number after it was increased by 3 and
faust18 [17]
• Increased by 3
n+3
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2(n+3)
• Three times the number
3n
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2(n+3)-3n
5 0
3 years ago
What is the diameter of a cone with height 8 m and volume 150xm3?
Reika [66]
On google, it says 8.463.
6 0
3 years ago
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