Answer:
Fourth option.
Sixth option.
Step-by-step explanation:
We know that:
- Any number you can find on the number line, is a Real number.
- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.
- A Rational number is that number that can be written in the following form:
![\frac{a}{b}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D)
Where "a" and "b" are integers (
).
- An Irrational number cannot be written as a simple fraction.
- A Whole number is any of the numbers {
}. Every Whole number is a Rational number.
- Natural numbers contain the set of positive integers{
} or to the set of nonnegative integers {
}, Every Natural number is a Rational number.
Based on this, since
is in the form
where
and
, it is a Rational Number and therefore a Real number.
Answer:
t = 6162 years
Step-by-step explanation:
Apparently you are asked to use the constant k = 0.0001 instead of the most common 0.00012. We'll answer the problem using such number you typed, but make sure that there is no omission in your typing.
The equation to use is that for carbon decay:
![N(t)=N_0\,e^{-0.0001\,\,t}](https://tex.z-dn.net/?f=N%28t%29%3DN_0%5C%2Ce%5E%7B-0.0001%5C%2C%5C%2Ct%7D)
If the skull contains 54% of its original amount of C14, then that means that :
![N(t)=0.54 \,\,N_0](https://tex.z-dn.net/?f=N%28t%29%3D0.54%20%5C%2C%5C%2CN_0)
we use this to solve for the time (t) in our equation:
![0.54\,\,N_0=N_0\,e^{-0.0001\,\,t}\\\frac{0.54\,\,N_0}{N_0}=e^{-0.0001\,\,t}\\0.54=e^{-0.0001\,\,t}\\ln(0.54)=-0.0001\,\,t\\t=\frac{ln(0.54)}{-0.0001} \\t=6161.86\,\,years](https://tex.z-dn.net/?f=0.54%5C%2C%5C%2CN_0%3DN_0%5C%2Ce%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5C%5Cfrac%7B0.54%5C%2C%5C%2CN_0%7D%7BN_0%7D%3De%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5C0.54%3De%5E%7B-0.0001%5C%2C%5C%2Ct%7D%5C%5Cln%280.54%29%3D-0.0001%5C%2C%5C%2Ct%5C%5Ct%3D%5Cfrac%7Bln%280.54%29%7D%7B-0.0001%7D%20%5C%5Ct%3D6161.86%5C%2C%5C%2Cyears)
which rounded to the nearest year as requested gives :
t = 6162 years
Answer:
![\Huge\boxed{\mathsf{\Rightarrow 10x+35}}](https://tex.z-dn.net/?f=%5CHuge%5Cboxed%7B%5Cmathsf%7B%5CRightarrow%2010x%2B35%7D%7D)
Step-by-step explanation:
Isolate x on one side of the equation.
<u><em>DISTRIBUTIVE PROPERTY:</em></u>
⇒ A(B+C)=AB+AC
⇒ A(B-C)=AB-AC
A=5
B=2x
C=7
5*2x+5*7
Solve.
Multiply.
5*2x=10x
5*7=35
10x+35
![\Large\boxed{\mathsf{10x+35}}}](https://tex.z-dn.net/?f=%5CLarge%5Cboxed%7B%5Cmathsf%7B10x%2B35%7D%7D%7D)
Therefore, the final answer is 10x+35.
Answer:
3
Step-by-step explanation:
2•3=6 +2=8 8 squared is 8•8 which is 64. This problem is quite simple.
Answer:
150
Step-by-step explanation:
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