Answer:
They must rent for less than 7 hours
Step-by-step explanation:
The charge for the room is the fee plus the hourly rate times the hour
f = 33+9.80t
This must be less than 101.60
101.60> 33+9.80t
Subtract 33 from each side
101.60-33> 33-33+9.80t
68.6> 9.80t
Divide each side by 9.8
68.8/9.8 > t
7>t
They must rent for less than 7 hours
The restriction of the given equation is
, other than 0≤x≤2π.
What is restriction of equation?
Restriction of the equation is the value of domain where the value is limited.
Given,

taking
common, we get

we know

we get,

and the restriction is 0≤x≤2π.
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Answer:
v = -8i - 6j
Step-by-step explanation:
The starting point is (9, 9)
The direction of the vector is the direction of the arrowhead.
The i is the horizontal component.
The j is the vertical component.
Therefore, to go from the start to the end of the line, we need to travel negative 8 units (horizontally) and negative 6 units (vertically).
Therefore, v = -8i - 6j
If you have an average of 97.2 on your current exam and you get a 99 on your next exam, your average will increase.
- Mean in mathematics is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the total number of values.
- To find the average, sum all the values in the set. Then divide the total by the number of values.
We have the current examination mean, xold = 97.2
Now, we receive, x = 99 on the next examination, the new mean will be:
xnew = (xold + x)/N
xnew = (97.2+99)/2
xnew = 196.2/2
xnew = 98.1
The new average is 98.1
98.1 > 97.2
So if you score 99 on your next exam, your average will increase.
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Answer:
b
Step-by-step explanation: