Write prime factorizations of the number 18.
1 answer:
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Answer:
2) -141 hits/da
Step-by-step explanation:
Calculate the values of h(2) and h(4)
h(2) = 2170(0.92)² = 2170 × 0.8464 = 1837
h(4) = 2170(0.92)⁴ = 2170 × 0.7164 = 1555
Calculate the average rate of change
Rate of change = (y₂ - y₁)/(x₂-x₁) = (1555 -1837)/(4 - 2) = -282/2 = -141 hits/da
The average rate of change is -141 hits/da.
In the figure below, the red curve represents the function h(d), while the green dashed line represents the average rate of change over the interval 2 ≤ d ≤4.
Step-by-step explanation:
Let
= mass of the painter
= mass of the scaffold
= mass of the equipment
= tension in the cables
In order for this scaffold to remain in equilibrium, the net force and torque on it must be zero. The net force acting on the scaffold can be written as
Set this aside and let's look at the net torque on the scaffold. Assume the counterclockwise direction to be the positive direction for the rotation. The pivot point is chosen so that one of the unknown quantities is eliminated. Let's choose our pivot point to be the location of . The net torque on the scaffold is then
Solving for T,
or
To solve for the the mass of the equipment , use the value for T into Eqn(1):