It would be = 9.76 * 10^9
For number 14 she could fold the string in fours and for 13 it is 9
Answer:
x(log(x) - 1) + C
Step-by-step explanation:
The formula for the derivative of a logarithm function is:

For your case, the base is 10. Now that we have the derivative, lets use integration by parts. I will be differentiating log(x) and integrating 1:
u = log(x)
du = dx/xlog(10)
dv = 1
v = x
You get:
log(x)x - integral(dx/log(10))
Therefore the answer is:
log(x)x - x/log(10) + C
x(log(x) - 1) + C
9514 1404 393
Answer:
16.8°
Step-by-step explanation:
The Law of Cosines can be rearranged to give the angle measure.
angle Q = arccos((p² +r² -q²)/(2pr))
angle Q = arccos((690² +450² -290²)/(2×690×450))
angle Q = arccos(594500/621000) ≈ 16.7985°
The measure of angle Q is about 16.8°.