It is in the air 5.625 seconds.
Using the quadratic formula,
0 is when the ball is first launched, 5.625 is when it hits the ground again.
Answer:
83,400
Step-by-step explanation:
Just carry the decimal point over to the right 4 places.
A)
Knights:
25n-C+1250=0
25n+1250=C
C=25n+1250
Legions:
30n+995-C=0
30n+995=C
C=30n+995
b)
fixed cost=b in y-intercept form
variable cost, dependent on n=m in y-intercept form
Knights:
fixed=1250
variable=25
Legions:
fixed=995
variable=30
c)
insert 45 into n for both formulas:
Knights:
25*45+1250=1125+1250=2375
Legions:
30*45+995=1350+995=2345
d)With 45 guests the Legion's Banquett Hall is cheaper, but due to the higher variable cost this changes with a few more people.
calculate break even point:
difference in variable cost=5 -> per person the cost difference will decrease by this much if another person joins
current price difference: 2375-2345=30
30/5=6 -> if there are 6 additional guest (total= 51) they will cost the same
if there are more than 6 additional guest (total >51) the knight's banquett will be cheaper.
Scale :
Map 1 : Actual
1 cm : 2 km
1 cm : 200 000 cm | Convert 2km to 200 000cm
Answer: The scale is 1 : 200 000
Map 1 : Actual
1 cm : 200 000 cm
(x8) : (x8)
8 cm : 1 600 000cm
1 600 000 cm = 16 km
Answer: The length of the actual trail is 16 km
Map 1 : Map 2
8cm : 6cm
1cm : 0.75 cm
Answer : The scale is 1 : 0.75
Map 1 : Map 2
1 : 0.075
3mm : 0.075 x 3 = 0.225mm
4mm : 0.075 x 4 = 0.3 mm
5mm : 0.075 x 5 = 0.375 mm
Answer: The side lengths are 0.225mm, 0.3 mm and 0.375 mm
