Manuel wants to go snowboarding with his friends. The closest ski and snowboard resort is approximately 20 miles west and 50 mil

Answer:

Part A: During the interval from 0 to 2 seconds, the water balloon reaches a height of 75 feet from an initial height of 60 feet, showing an increase in height during [0,2]

Part B: Between 2 to 4 seconds, the height remains constant at 75 feet, indicating a stable height during [2,4]. Similarly, from 10 to 12 seconds, the height stays at 0 feet, thus remaining unchanged during [10,12] and from 12 to 14 seconds, it also remains at 0 feet, indicating stability during [12,14].

Part C: The water balloon height decreases most rapidly between the intervals [4,6], dropping by 35 feet. The other intervals that show a decrease, [6,8] and [8,10], drop by 20 feet each. Thus, it reveals that the decreasing interval [4,6] is the most significant, as 35 feet is a more considerable reduction compared to 20 feet.

Part D: I estimate that at 16 seconds, the height of the water balloon will be 0 feet. This correlates with the height of the balloon being 0 feet between 10 and 14 seconds. In real-life contexts, if the balloon rests on the ground at 0 feet, it stays on the ground because of gravitational force.

Step-by-step explanation:

I hope this offers some assistance! I can't confirm if everything is accurate, but I have researched thoroughly, so fingers crossed it is correct! Best of luck!

For this inquiry, we are presented with a graph, and we're tasked with determining the x-coordinate of where the two lines intersect.

An examination of the graph indicates that the input value is around 3.3.

In the graph,

To derive g(x), we need the slope and y-intercept.

The slope represents the ratio of vertical change to horizontal change.

In this case, the rise is 3 units and the run is 2 units. The line intersects the y-axis at -2.

Thus, the equation for g(x) becomes

Next, we will perform

Substituting the values of both functions will yield

By adding 2 to both sides, we have

We will apply cross multiplication

Thus, the approximate input value is 3.3.

The salsa consists of 65% tomatoes, which amounts to 5.2 cups.

Let’s denote the total salsa as "x" cups, representing 100%. Given that 5.2 cups makes up 65%, we have:

Response:

Jack's weight on the moon will be 26.52 pounds

Step-by-step explanation:

x = 156 (Weight on Earth)

y = 0.17 (Moon's gravity)

z = Your weight on the moon

x * y = z

156 * 0.17 = 26.52

Jack will weigh 26.52 pounds.

Answer:

(1, 3)

Step-by-step explanation:

Provided:

A circle containing these specified points-

(4, 2), (-2, 2), (-1, 4), (1, 1), (1, 3), (2, -3).

A function resembles a mechanism that produces an output for each unique input. Each input must yield a distinct output.

The function's input is characterized as the domain, and the output corresponds to its range.

The domain is indicated by the 'x' coordinate while the range is represented by the 'y' coordinate.

This means the domain serves as the independent variable, and the range is contingent upon the domain’s values.

In this case, a relation or set of points constitutes a function only if every 'x' in the ordered pairs is unique.

Within the described relation, the pairs (1, 1) and (1, 3) share the same input. Thus, removing either one will convert the relation into a function.

Therefore, choosing (1, 3) is the right answer.