Tarzan (whose mass is 90.0 kg) plans to swing down, startingfrom rest, from a ledge using a light vine 7.4 m long. he holdsone end of the vine, and the other end is tied higher up on a tree, with the vine being 10 degrees from vertical. at the lowest pointof his swing, he plans to let go and drop a short distance to theground. if tarzan missed the first chance to let go and drop tothe ground, how long after first beginning his swing will tarzanreach his lowest point for the second time?

  2.73 seconds

Step-by-step explanation:

The period in seconds of a simple pendulum is given by the formula ...

After missing his first drop, Tarzan will have to wait 1/2 period before the next opportunity. He will reach the lowest point again 2.73 seconds after passing it the first time.

8(-10x+3.5y-7)

8×-10x + 8×3.5y + 8×-7

-80x + 28y - 56

therefore

-80x+28y-56 is the correct answer

let f (x ) is a function and c be a positive real number,   the graph of the function g (x ) = f (cx ) is represented as follows.

when, c > 1,   the function compresses it in the x - direction.

when, 0 < c < 1, the function stretches it.

the function is g ( x ) = (9x )2.

the heighest power of x in g ( x ) = (9x )2 is 2, so the parent function is square function.

the equation of parent function is f ( x ) = x 2 .

the function is g ( x ) = (9x )2 and the parent function is f ( x ) = x 2 .

so, the functions f and g have the following relationship.

g ( x ) = f ( 9x ).

compare the function g ( x ) = f ( 9x ) with g (x ) = f (cx ).

c = 9 ( > 1 ).

so, the function g (x ) = (9x )2 compresses it in the x - direction.

step-by-step explanation: