PLS HELP, 50 POINTS!!!

Mathematics

2 answers:

Leona [4.1K]10 days ago

8 0

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!

AnnZ [3.8K]10 days ago

7 0

Answer:

Attached file...

Step-by-step explanation:

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How do the graphs of the functions f(x) = (Three-halves)x and g(x) = (Two-thirds)x compare?

tester [3916]

Answer:

To summarize the answer:

Step-by-step explanation:

Given:

$\bold{f(x)= (\frac{3}{2})^x}\\\\\bold{g(x)= (\frac{2}{3})^x}\\$

Here is the graph associated with this question:

The second function, denoted as $g(x)= (\frac{2}{3})^x$ , does not qualify as a function.

Keep in mind that the g(x) function is the inversion of the f(x) function. Recognizing this pattern indicates a reflection on the Y-axis.

Reflection on the axes:

In the x-axis:

Enhance the function by -1 to illustrate an exponential curve around the x-axis.

In the y-axis:

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8 0

12 days ago

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iven: C is a point on the perpendicular bisector, l, of AB. Prove: AC = BC Use the drop-down menus to complete the proof. By the

Leona [4166]

Answer:

For a clearer understanding, refer to the attached figure:

Step-by-step breakdown:

1. According to the unique line postulate, only one line segment can be created: BC

This is because a single line can only connect two distinct points.

2. Utilizing the definition of reflection, reflect BC across l.

To identify the line segment reflected over l, we will apply the reflection definition.

3. Based on the reflection definition, C remains as its own image and A represents the image of B.

The reflection definition states that a figure is transformed into a mirror image around a line. Thus, CD serves as the perpendicular bisector of AB, which makes A and B equidistant from D, producing their mirror images.

4. Because reflections maintain length, we find that AC = BC

In a reflection, the figure transforms to create a mirror image, ensuring the lengths remain unchanged.