Answer:
s(t) = -4.9t² + 39.2t
Step-by-step explanation:
Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²
Given
g = -4.9m/s²
v0 = 39.2m/s
s0 = 0m (the initial height)
On substituting into the formula;
s(t) = gt² + v0t + s0
s(t) = -4.9t² + 39.2t + 0
s(t) = -4.9t² + 39.2t
This gives the equation that models the height
Answer:
Mean:
a) 4
b) 2
c) 2
d) 2
Median:
a) 4,2
b) 5,2
c) 5,1
d) 4,1
Mode:
a) 1
b) 1
c) 1
d) 1
Step-by-step explanation:
Mean:
a) 1+4+2+1 = 8/4=4
b)1+5+2+1 = 9/4= 2.25 (round to the nearest whole number = 2)
c) 1+5+1+0 = 7/4 = 1.75 (round to the nearest whole number = 2)
d) 1+4+1+0 = 6/4 = 1.5 (round to the nearest whole number = 2)
Find a common denominator between the two
1/6 - 2/12
1/4 - 3/12
3/12 - 2/12 because 2/12 is what you started with
= 1/12
If 1/12 is 8 litres, it’s 8 x 12 = 96
The tank can hold 96 litres.
Answer:
No, 6 hours would cost $335, 35 over her limit of $300.
Step-by-step explanation:
she has to pay $200 plus 22.50 for every hour she rents. So, if she rents for 6 hours, she has to pay $200 + 6(22.50) or $200 + 135=335. She only has $300 so she can’t afford the event.
First simplify the equation.
3x+3y= -x+5y
4x=2y
2x=y
y=2x
Means that the y value is 2 times the x value.
answer: C but there are more solutions than just (1,2) and (2,4)