There are two cables coming off the top of a building from the same point. Each cable is secured to the ground. The longest cabl

6 × 10 × 10 × 10 × 10 = Step-by-step breakdown: The exponent of any number reveals how many times that number is multiplied. It signifies the power applied to a number indicating how often that number is multiplied. Here, 10 is used four times, indicating an exponent of 4 for 10. Therefore, the expression can be represented as:

The sine function that corresponds to the scenario is y = 6sin((π / 10) x) - 10.

Step-by-step explanation:

The general equation for a sine function is Asin(Bx)+C.

A buoy rises and drops 6 meters, indicating a vertical and horizontal movement of 6 meters—this is the amplitude.

Thus, the amplitude A is 6.

The period is defined as the horizontal distance for one complete wave cycle.

The buoy takes 10 seconds to go from its peak to its lowest point (half a cycle).

Hence, the total period for a complete cycle is 20 seconds.

Additionally, Period = 2π divided by B.

Thus, 20 (B) = 2π.

This results in B being equal to 2π / 20.

= π / 10.

Since the buoy operates at a depth of 10 meters, C equals -10.

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⇒y = 6sin((π/10)x) - 10.

The first point marks the midline,

When x=0,

⇒y=6sin(0)-10.

y= -10.

∴ Thus, the line begins at y = -10.

The consecutive point will represent the maximum or minimum value.

Those are (5,-4) and (15, -16.)

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He needs to make 12 successful shots.

Based on the information:
Loan amount = $3,000
Interest accrued = $61.88
Time period = 3 months

Total amount due = 3000 + 61.88 = 3061.88
Monthly repayment = 3061.88 divided by 3 = $1,020.63

Final answer: $1,020.63