Question

ANY ONE PLZZ !!!

1.
Suppose that the amount of algae in a pond doubles every 4 hours. If the pond initially contains 90 pounds of algae, how much algae will be in the pond after 12 hours? (1 point)720 pounds
360 pounds
1,440 pounds
114 pounds







2.
What is the order of the numbers from least to greatest?

A = 1.5 x 103 B = 1.4 x 10–1 C = 2 x 103 D = 1.4 x 10–2 (1 point)D < B < A < C
C < A < B < D
D < B < C < A
B < D < A< C

Answer 1

For question #1, the equation for exponential growth is this:

\[n=n _{0}(2)^{\frac{ t }{ t _{double} }}\]
Where:
n is the final number of things you have
n(0) is the starting number of things you have
t is the total time
t(double) is doubling time

Note that when you divide the total time by the doubling time, you get the number of doublings that have occurred.

In this case, n(0) = 90, t = 12, and t(double) = 4. Sub these values into the equation above and solve for n!

Answer 2

For question #2, these are all numbers written in scientific notation. When we fully write numbers out, we write 10, 100, 1000, etc. However, we can express these numbers in a shorter form known as scientific notation by using exponents.

100 can also be written as 10^2, because it is equal to 10 x 10.
1000 can also be written as 10^3, because it is equal to 10 x 10 x 10.

You can see that the greater the exponent, the higher the number (e.g. 10^2 < 10^3). Every other number can be expressed in scientific notation in this way. For instance, if you have 200, you can also write it as 2 x 10^2, and if you have 7500, you can also write it as 7.5 x 10^3.

Hopefully this will help you find the write answer!

Answer 3

thanks for helping me understand the question (: