Answer:
The population will be 240,116
Step-by-step explanation:
Exponential growth can be represented by the expression:
where:
is the population at time (t)
is the initial value of the population
"r" is the annual rate of growth (written in decimal form)
and "t" is the time in years.
Therefore in this situation, P(16) is what we want to find [the population after 16 years]
the initial population is 110,000
the rate of growth is 0.05 [decimal form of 5%]
and t is 16 years.
Replacing all these in the given functional form gives:
Answer:
y = -2x
Step-by-step explanation:
For direct variation: y = kx, where k is the constant of proportionality.
Given that Y equals -12 when x equals 6, we have -12 = k(6). Solve this for k by dividing both sides by 6:
k = -12/6 => k = -2
Then the "direct variation equation" here is y = -2x.
Answer:
the answer is incorrect though the first step is correct but the second step is wrong and so is the answer. the correct answer would be x raise to the power of 2by 5
Step-by-step explanation:
{x⁶/⁵⁻²/⁵} ¹/²= {x⁴/⁵}¹/²= x²/⁵
in the second step the power of the denominator must be subtracted from the power of the numerator using the law of indices then we would get the correct answer
<span>The ordered pair (0 minutes, 6 miles from hive) is the initial value on the graph (the value with time=0). The distance value is 6 miles.
It tells you the distance of the bee from its hive "originally" or "initially" or "at t=0" or whatever equivalent description you might like.
The appropriate choice is ...
6 miles; it represents the original distance of the bee from its hive</span>
