Jake scored 269 points on three math tests. to get an a for the class, his average number of points on four tests must be no les
2 answers:
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By definition, we have
So, we have to solve two different equations, depending of the possible range for the variable. We have to remember about these ranges when we decide to accept or discard the solutions:
Suppose that
In this case, the absolute value doesn't do anything: the equation is
We are supposing , so we can accept this solution.
Now, suppose that . Now the sign of the expression is flipped by the absolute value, and the equation becomes
Again, the solution is coherent with the assumption, so we can accept this value as well.
Answer:
Step-by-step explanation:
Power is defined by work over time. In physics, work can be defined as the energy transferred over from an applied force over some distance. As a formula:
, where F = force applied and d = distance that force is applied over.
*It is worth noting that F must be parallel to the distance travelled. If it is perpendicular, no work is done, and if it is at an angle, find the parallel component and use that for F.
In this case, the force applied must counter the force of gravity on Martha, which is given by , where m = Martha's mass and g = gravitational constant 9.8 m/s/s. Therefore,
. Since she raises her body 4.0 meters, the work done must be
.
Since power is equal to work over time and t = 2.3 seconds, we have:
(to two significant figures)