What is the expression for 40 more than twice the quotient of two amounts

The distance of one light-year is approximately 9,500,000,000,000 kilometers. What is this distance in scientific notation?

zhenek [66]

Answer:

9.5*10^12 km

Step-by-step explanation:

7 0

2 years ago

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Suppose you Just purchased a used truck. The number of miles on the odometer can be represented by the equation y = x + 40, 000,

igor_vitrenko [27]

Answer: $f(x)= x+40000$

Step-by-step explanation:

We write a function f(x) which gives the values of the function that are dependent on the independent variable "x".

Given: The number of miles on the odometer can be represented by the equation y = x + 40, 000, where y is the number of miles on the odometer, and x is the number of miles you have driven it.

Here y is dependent on x, so we replace y by f(x), then we get

$f(x)= x+40000$ which is the required answer.

8 0

3 years ago

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species

kotegsom [21]

Answer:

$P(t) = \frac{160000e^{1.36t}}{2000 + 80(e^{1.36t} - 1)}$

Step-by-step explanation:

The logistic equation is the following one:

$P(t) = \frac{KP(0)e^{rt}}{K + P(0)(e^{rt} - 1)}$

In which P(t) is the size of the population after t years, K is the carrying capacity of the population, r is the decimal growth rate of the population and P(0) is the initial population of the lake.

In this problem, we have that:

Biologists stocked a lake with 80 fish and estimated the carrying capacity (the maximal population for the fish of that species in that lake) to be 2,000. This means that $P(0) = 80, K = 2000$ .