Answer:
Below in bold.
Step-by-step explanation:
In each case you divide top and bottom by the GCF.
A. The GCF of 45 and 56 is 1.
so the answer is 45/56.
B. 15/16 (GCF = 1)
C. Here the GCF is 5 so the answer is (35/5) / (80/5)
= 7/16.
D. 5/6 (GCF is 4).
Here we're applying a basic physics rule for vertical motion where the only pull on the object is gravity.
This rule has the form
h(t) = h + v t + (1/2)a*t^2
o o
To adapt this rule to this particular question replace h with 0, as the
o
upward path of the object begins at 0 ft. Replace v with +15 ft/sec.
o
Replace "a" with (-32.2 ft/(sec^2); this is the acceleration due to gravity.
Then we have the following, with the label F(t):
F(t) = 0 + (15 ft/sec)t + (1/2)(-32.2 ft)/(sec^2), or
F(t) = 15t - 16.1t^2. Thus, Choice D is correct.
Please note: To avoid confusion, please use " ^ " to denote exponentiation:
F(t) = -16t^2 + 15t
Answer:
Um wat?
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
These angles are vertical angles so they are equal.
7x-99 = 2x+1
Subtract 2x from each side
7x-2x -99 = 2x-2x+1
5x -99 =1
Add 99 to each side
5x-99+99 = 1+99
5x = 100
Divide each side by 5
5x/5 =100/5
x = 20
Answer:
The correct option is C.
Step-by-step explanation:
The bike shop owner rents out bikes and scooters.
The cost to rent a bike is $15 plus $8 per hour for each hour the bike is rented.
Rent of bike = Fixed rent + Variable rent
The rent function of a bike is
Where, t is number of hours.
The cost to rent a scooter is $35 plus $5 per hour for each hour the scooter is rented.
The rent function of a scooter is
Where, t is number of hours.
The slope intercept form of a line is
Where, m is slope and b is y-intercept.
So by slope intercept form the rate of change of bike is $8 and rate of change of scooter is 5.
8>5
Therefor option C is correct.
