Answer:
Step-by-step explanation:
Factor all the factors making up the square root.
108: 2*2*3*3*3
a^7: a*a*a*a*a*a*a
b^5:b * b * b * b * b
The rule for taking a square root of this is
For every pair, you get to take one number outside the root sign and throw the other one away.
2*3*a * a * a* b * b√(3*a * b)
6a^3b^2 * √(3*a*b)
Answer:
The slope is 
. The slope means that the amount of money in the account is decreasing at a rate of $
every week.
Step-by-step explanation:
Given coordinates are 
We need to find the slope of the graph, and explain what does slope means for this graph.
The formula for computing slope 
is
Where 
and 
are the point on the line.
Let us plug points in the equation
Here, the negative sign of slope represents that the value of the function (budget) is decreasing, with an increase in time (week).
The slope is . The slope means that the amount of money in the account is decreasing at a rate of $ every week.
For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft
Answer:
Note that both relations and functions have domains and ranges. The domain is the set of all first elements of ordered pairs (x-coordinates). The range is the set of all second elements of ordered pairs (y-coordinates). Only the elements "used" by the relation or function constitute the range.
Answer:
0
Step-by-step explanation:
–5(3 – q) + 4 = 5q – 11
-15 +5q + 4 = 5q -11
-11 + 5q = 5q - 11
+5q - 5q = -11 + 11
0=0
