Step-by-step explanation:
Use the formula (Y2 - Y1)/(X2 - X1) to find the slope between two points
We'll make Point 1 (which is X1 and Y1) the Y-intercept so
X1, Y1 = (0, 5.00)
And we'll make Point 2 (which is X2 and Y2) the point on the trend line
X2, Y2 = (200, 6.00)
Plug into the formula:
(6.00 - 5.00)/(200 - 0)
= 1/200 or 0.005
Slope: 1/200 or 0.005
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Answer:
7/8
Step-by-step explanation:
When 16 students are playing kickball, there are 16/16 students on the field. After 2 leave, this becomes 16-2/16, therefore 14/16 which is divisible by 2. and therefore 7/8, which the numerator and denominator have no common divisors.
Answer:
y = -7 and x = -36
Step-by-step explanation:
x - 4y = -8
5y - 1 = x
→ Substitute 5y - 1 into x - 4y = -8
5y - 1 - 4y = -8
→ Simplify
y - 1 = -8
→ Add 1 to both sides
y = -7
→ Substitute y = -7 into 5y - 1
( 5 × -7 ) - 1 = -36
Answer:
Yes the cube will fit.
Step-by-step explanation:
If we don't take into account of how wide of long the cube is and just focus on the height, the edge of a cube with a volume of 9 feet is roughly 2.08 feet. That totals to less than 27 inches, therefore the cube will fit on the shelf.
<span>the particle's initial position is at t=0, x = 0 - 0 + 4 = 4m
velocity is rate of change of displacement = dx/dt = d(t^3 - 9t^2 +4)/dt
= 3t^2 - 18t
acceleration is rate of change of velocity = d(3t^2 -18t)/dt
= 6t - 18
</span><span>the particle is stationary when velocity = 0, so 3t^2 - 18t =0
</span>3t*(t - 6) = 0
t = 0 or t = 6s
acceleration = 6t - 18 = 0
t = 3s
at t = 3s, velocity = 3(3^2) -18*3 = -27m/s
displacement = 3^3 - 9*3^2 +4 = -50m