Answer:
2/9
Step-by-step explanation:
f(x)=2*3^x
Let x=-2
f(-2) = 2 * 3^(-2)
When the exponent is negative, it flips from the numerator to the denominator
= 2 * 1/(3^2)
= 2 * 1/9
= 2/9
Answer:
the size of the bacterial population after 100 minutes is 20,158.7 bacteria
the size of the bacterial population after 10 hours is 2097152000 bacteria
Step-by-step explanation:
Given that
The bacteria contains 2000
It would be double at every half hour
We need to find out the size of the bacteria after 100 minutes & 10 hours
So,
The size of the bacteria after 100 minutes is
= 2000 × 2^(100 ÷ 30)
= 2000 × 10.079
= 20,158.7 bacteria
Now the size of the bacteria after 10 hours is
10 hours = 10 × 60 minutes = 600 minutes
= 2000 × 2^(600 ÷ 30)
= 2097152000 bacteria
Answer: 5/6÷2/3
5/6×3/2
=5/4
5/4 cups of strawberries makes 1 litre of smoothie
Answer:

General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
<u>Algebra I</u>
- Slope Formula:

Step-by-step explanation:
<u>Step 1: Define</u>
Point (-5, 8)
Point (-11, 8)
<u>Step 2: Find slope </u><em><u>m</u></em>
Simply plug in the 2 coordinates into the slope formula to find slope <em>m</em>
- Substitute in points [SF]:

- [Fraction] Subtract/Add:

- [Fraction] Divide/Simplify:

The Colosseum was the emperor's gift to the Romans. Without doubts it was not only an amphitheatre. It became a symbol of power and majesty of the emperor, Rome and Roman society. The construction began in year 71 CE on commission of the new Roman ruler Vespasian.