Given in the problem is the diameter of the Ferris Wheel.
Thus, we can compute for the Ferris Wheel Circumference. This is the circular distance a single capsule attached to the wheel needs to do a full circle to.
Using 2 Step, we find the rate of how fast the capsule needs to be moving to complete 1 full cycle in 30 minutes.
1. Formula for computing the circumference
C = 2 x π x R
where R = Diameter divided by 2
C = 2π(120/2 )
C = 120π
2. Compute the rate or speed of the capsule / coach.
Rate or Speed = Distance to cover / Time it takes to cover
R/S = 120π/30 = 4π m/min or 12.57737 meters / min
Answer:
Step-by-step explanation:
1. You can use the intercepts to graph the line. The graph of 2x + 3y = 12 crosses the x-axis at (6, 0), so its x-intercept is 6. The graph of 2x + 3y = 12 crosses the y-axis at (0, 4), so its y-intercept is 4.
2. Point-Slope Form: y - y1 = m(x - x1)
Standard Form: ax + by = c
5x - 2y = 10
-2y = -5x + 10
y = (5/2)x - 5 The slope is 5/2.
y - 2 = (-5/2)(x - 10)
y = (-5/2)x + 25 + 2
y = (-5/2)x + 27 The slope is -5/2.
y = (-5/2)x - 10 The slope is -5/2.
<h2><u>
C D E</u></h2>
A is false because this graph doesn't have any relative minimums because it never increases
B is false because this graph never increases
C is true
D is true because the graph never goes below 3, but it's blurry so I might be wrong
E is true because it never stops decreasing and has a domain of all real numbers
Answer:
1. No solution
2. Infinite solutions
Step-by-step explanation:
1. To solve the system, set the equations equal to each other and solve for x.
2x - 5 = 2x + 7
-5 = 7
This is a false statement. This means there is no solution.
2. To solve the system, graph each equation.
y = -3/4 x - 5/2 has a y-intercept -5/2 and slope -3/4.
3x + 4y = -10 converts to y = -3/4x -5/2.
This graphs as the exact same line. This system has infinite solutions.
: Let y = f(x) = x^1/3
Then dy = 1/3*x^(−2/3) dx
Since f(64) = 4.
We take x = 64 and dx = ∆x = 1
This gives dy = 1/3*(64)^(−2/3)* (1) = 1/48
∴65^(1/3) = f(64 + 1) ≈ f(64) + dy = 4 + 1/48 ≈ 4.021 <span>
</span>
