Answer:
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
Step-by-step explanation:
<u>Numbers:</u>
<u>Let's see which option is correct:</u>
-1.1 is a rational number, 4.5 and -6 are integers, and 12 is a whole number.
- 4.5 in not an integer, it is incorrect
-1.1 and -6 are rational numbers, 12 is an integer, and 4.5 is a whole number.
- 4.5 is not a whole number, this is incorrect
4.5 and -1.1 are rational numbers, -6 is an integer, and 12 is a whole number.
12 is a rational number, -1.1 and -6 are integers, and 4.5 is a whole number.
- -1.1 is not and integer, 4.5 is not a whole number, this is incorrect
So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.
In the case of bacteria, we use the continuous growth equation:
Final=Initial×e∧(r×t)
In other words, the final amount is equal to the initial amount times e to the rate times time. In order to find your rate, you would plug in the numbers as follows:
3600=3000×e∧(6r)
Therefore: r=0.03
Next, you would plug in the r value and 13 hours into the equation to solve for the final amount.
F=3000×e∧(13×0.03)=4,453 bactera after 13 hours
Essentially any like term is a variable with the same letter at the end or the same letter and power.
In this equation, we are given:
- a variable, a letter, and a power
- a variable, and a letter
- a variable
They are all different, so there are 3 different terms in the equation
Best of Luck!
