Answer:
-24.8 m/s
Step-by-step explanation:
Given:
y₀ = 60 m
y = 40 m
v₀ = 15 m/s
a = -9.8 m/s²
Find: v
There are three constant acceleration equations we can use:
y = y₀ + v₀ t + ½ at²
v = at + v₀
v² = v₀² + 2a(y − y₀)
We aren't given the time, so we need to use the third equation, which is independent of time:
v² = v₀² + 2a(y − y₀)
Plug in the values:
v² = (15 m/s)² + 2(-9.8 m/s²) (40 m − 60 m)
v² = 617 m²/s²
v ≈ ±24.8 m/s
Since the coin is on the way down, the velocity is negative. So v = -24.8 m/s.
Answer:
K = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin K = 11 / 61
Taking the inverse sin of each side
sin ^-1 ( sin K) = sin ^-1 (11/61)
K =10.38885782
K = 10
2160 cm^3 since the width of prism b is half of the width of prism a
Answer:
The equivalent expression is 6x+8.
Step-by-step explanation:
Given expression is:
1.5(3x + 4) + 0.25(6x + 8)
We will solve the expression and combine alike terms.
4.5x + 6 + 1.5x + 2
6x + 8
Therefore,
The equivalent expression is 6x+8.
Answer:
Step-by-step explanation:
part A:
okay so you saved $300 and choose to spend $50 a week
the 300 is positive and is the y-intercept since thats the amount of money you start with
and the 50 is negative because that is being spent and is the slope
so the equation is:
y = -50x + 300
part B:
the graph will be on the bottom
the (6, 0), aka the x-intercept, shows that in 6 weeks you will be out of money
the (0, 300), aka the y-intercept, shows that in the beginning of summer you have $300
part C:
the y-intercept is 300; it represents the amount of money you have in the beginning of the summer
