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:

If the skull contains 54% of its original amount of C14, then that means that :

we use this to solve for the time (t) in our equation:

which rounded to the nearest year as requested gives :
t = 6162 years
Answer:
C, 20 units
Step-by-step explanation:
We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).
By AA Similarity, we know that triangle QTR is similar to triangle QRS.
With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.
Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.
Finally, we set these two ratios equal to each other:

Cross-multiplying, we get:
.
Thus, x =
. The answer is C, 20 units.
Hope this helps!
Answer:
4 im pretty sur
Step-by-step explanation:
Answer:
x = 2
4 (x + 6) - 3x = 26
solve the parenthesis
4x + 24 - 3x = 26
subtract 24 from both sides to get x by itself
4x - 3x = 2
solve
x = 2
Volume of a rectangular prism = l × w × h.
In this case,
V = 270 cubic feet
l = 15 feet
w = 4 ft
h = ?
Plug our values into the volume formula.
270 cubic feet = 15 feet × 4 feet × h.
Simplify the right side
270 = 60 × h.
Divide each side by 60.
4.5 = h
The height is 4.5 feet.