Tarzan is once again swinging on his vine while Jane times him. At time = 4 seconds, Tarzan is at one end of
his swing and 30 feet from the riverbank swinging over
land. When Tarzan is swinging over land, graphically
those distances will be positive numbers. At time = 9
seconds, Tarzan is at the other end of his swing and 42
feet from the riverbank swinging over water. When
Tarzan is swinging over water, graphically those
distances will be negative numbers.

step-by-step explanation:

hans did not square the 40-unit side; he merely multiplied it by 2.   incorrect.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for

the answer is:

the correct option:

b.

to solve the problem, we need to remember how to operate to simplify exponential expressions using the logarithms.

we are given the equation:

then, using placing logarith with base 7 on both sides of the equation, we have:

so, rounding the obtained result to two decimal places (nearest hundreth), we have:

hence, we have that the correct option:

b.

have a nice day!