The word in the problem that indicates that a negative sign should be used is "descend"
<h3>
</h3><h3>How many meters did he descend?</h3>
We know that he stops for water breaks four times, and between each water break, he descends 15 meters.
The written equation is:
4*(-15)m = -60m
Why the negative sign is used?
The negative sign is used because the hiker is descending, so its height is decreasing. The word in the problem that indicates that a negative sign should be used is "descend"
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Answer:
$282.59 per share
Step-by-step explanation:
Given that,
Stockholders' equity = $323 million
price/earnings ratio = 14
shares outstanding = 8,800,000
Market/book ratio =7.7
Book Value per share:
= Stockholders' equity ÷ shares outstanding
= $323,000,000 ÷ 8,800,000
= $36.70
Market price per share:
= Book Value per share × Market/book ratio
= $36.70 × 7.7
= $282.59 per share
He would only be able to make 6 rows with 3/4 of another
The solution to the given differential equation is yp=−14xcos(2x)
The characteristic equation for this differential equation is:
P(s)=s2+4
The roots of the characteristic equation are:
s=±2i
Therefore, the homogeneous solution is:
yh=c1sin(2x)+c2cos(2x)
Notice that the forcing function has the same angular frequency as the homogeneous solution. In this case, we have resonance. The particular solution will have the form:
yp=Axsin(2x)+Bxcos(2x)
If you take the second derivative of the equation above for yp , and then substitute that result, y′′p , along with equation for yp above, into the left-hand side of the original differential equation, and then simultaneously solve for the values of A and B that make the left-hand side of the differential equation equal to the forcing function on the right-hand side, sin(2x) , you will find:
A=0
B=−14
Therefore,
yp=−14xcos(2x)
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Absolute value only removes the negative signs. Just multiply the numerator and the denominator