Answer:
The estimated age of the skull is 39118 years.
Step-by-step explanation:
The amount of the substance after t years is given by:
In which A(0) is the initial amount, and r is the decay rate.
The half-life of carbon-14 is about 5600 years.
This means that 
. We use this to find r, or 1 - r, to replace in the equation. So
![\sqrt[5600]{(1-r)^{5600}} = \sqrt[5600]{0.5}](https://tex.z-dn.net/?f=%5Csqrt%5B5600%5D%7B%281-r%29%5E%7B5600%7D%7D%20%3D%20%5Csqrt%5B5600%5D%7B0.5%7D)
So
Only 2% of the original amount of carbon-14 remains in the burnt wood of the campfire.
This is t for which 
. So
The estimated age of the skull is 39118 years.
Answer:
100 cubic inches
Step-by-step explanation:
length times width equals volume
10 times 10 equals 100
Answer:
5
Step-by-step explanation:
SQ= 10
SO is half way so divide by 2
Answer:
49÷100
Step-by-step explanation:
49% simply means 49 divided by 100
Answer:
y=2x-7
Step-by-step explanation:
The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.
Firstly, let's assess what know and what we don't:
Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.
All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.
y=mx+b
-3=2(2)+b
-3=4+b
-3-4=b
-7=b
Now that we have b, we can write the equation:
y=2x-7
