Answer:
15 sec
Step-by-step explanation:
Data:
let m = 600 kg
b = 50
the differential equation will be:

Answer:
57.073 km/h approx.
Step-by-step explanation:
Total distance from Liverpool to Sheffield
= 56 + 61 km
= 117 km
Time from Liverpool to Manchester
=56 km ÷ 70 km/h
=0.8 hours
Time from Manchester to Sheffield
=75 mins
=1.25 hours
Total time = 0.8 h + 1.25 h
= 2.05 hours
Average speed from Liverpool to Sheffield
= 117 ÷ 2.05
= 57.073 km /h
Please mark as brainliest
Answer:
48
Step-by-step explanation:
the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.
first lets start with shirts and pants, number of unique combinations are,
(for each shirt there are 4 different pant combinations) = 
=12
similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.
thus, total number of combinations are=

= 48
Answer:
Because 2500 would be around 10 times as many pages, 3-4 times as many would be around 700-900 more pages, not 2500.
Step-by-step explanation:
Answer:
We conclude that the price is 3.5 times the number of board games.
Hence, option B is true.
Step-by-step explanation:
We know that when y varies directly with x, the equation is
y ∝ x
y = kx
k = y/x
where 'k' is called the proportionality constant.
From the table,
For the point (2, 7)
k = y/x
= 7/2
= 3.5
For the point (4, 14)
k = y/x
= 14 / 4
= 7/2
= 3.5
For the point (5, 17.50)
k = y/x
= 17.5 / 5
= 3.5
For the point (9, 31.50)
k = y/x
= 31.50 / 9
= 3.5
From the above calculations, we computed that the value of the proportionality constant remains the same.
Thus, the table of numbers represents a proportional relationship.
Therefore, the equation becomes
y = kx
The price of 2 board game
y = 3.5 (2)
= 7
The price of 4 board game
y = 3.5 (4)
= 14
Therefore, we conclude that the price is 3.5 times the number of board games.
Hence, option B is true.