Answer:0.246 ft/s
Step-by-step explanation: As the worker starts moving and stops 10 feet away from the side rope connected to the load, it creates a right triangle, as illustrated in the image.
V = s/t... equation 1
S = distance the worker travels while pulling the rope = 10 ft
V = worker's velocity = 2 ft/s
T = time it takes for the worker to cover 10 ft = the same time the load takes to rise = 5 seconds
Using Pythagorean theorem to find the distance from the pulley to the new position of the worker
Square root of (40^2 + 10^2) = 41.23 ft
Distance covered by load = D = 41.23 - 40
= 1.23 ft
Load speed = D/t...equation 2
Substituting D and t into equation 2 gives us
Load speed = 1.23/5 = 0.246 ft/s
Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.
In this scenario, we start with the following expression:
The first step involves evaluating the quadratic component.
Next, we have:
The following step is to subtract the two resultant values:
It is clear that the outcome of this operation is a negative value.
Answer:
The expression results in:
The world’s largest pumpkin weighed 1,805 kilograms.
Answer:
D.
Step-by-step explanation:
This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!
