Here is the equation if needed. the answer is x=-4.1429
Answer: b) 45"
<u>Step-by-step explanation:</u>
Tv's are measured by their diagonal length.
Use Pythagorean Theorem to find the diagonal of the tv.
a² + b² = c²
36² + 27² = c²
1296 + 729 = c²
2025 = c²
√2025 = c
45 = c
The velocity of the car at various times is given as:
Velocity at 15 seconds = f(15) = 45
Velocity at 22 seconds = f(15) = 66
Velocity at 29 seconds = f(15) = 87
Velocity at 36 seconds = f(15) = 108
We are to find the average rate of change of f(x) from x=15 to x=29, which can be written as:
Therefore, the average rate of change of function from x=15 to x=29 is 3. Since the rate of change of velocity gives us acceleration, so the acceleration of the car between 15 to 29 seconds will be 3 m/s²
Answer:
12 grams per millimeters cubed
Step-by-step explanation:
The formula for density is D=M÷V
Just divide 120 by 10 and you are done.
<h3>Answer:</h3>
y = 2·sec((x -3π/2)/2) -4
<h3>Explanation:</h3>
The general shape of the curve suggests the parent function is a secant or cosecant function. Here, we choose to use the secant. It might help to familiarize yourself with the graph of a secant function (shown in the second attachment).
The centerline between the local maximum and local minimum is at -4, so that is the vertical offset.
The distance between that centerline and a local maximum or minimum is 2 units, so the vertical expansion factor is 2.
The horizontal distance between the local maximum and local minimum is 2π, so represents a horizontal expansion by a factor of 2.
The location of the local minimum is at x=3π/2, so that represents the horizontal offset.
The form of the function with these various transformations is ...
... g(x) = (vertical scale factor) × f((x - (horizontal offset))/(horizontal expansion factor)) - (vertical offset)
Filling in the function and the various values, we get ...
... y = 2·sec((x -3π/2)/2) -4