Answer:
<u>Use Pythagorean:</u>
<h3>#1</h3>
- x² = 16² - 8²
- x² = 192
- x = √192
- x = 12.73, not an integer
<u>Not a Pythagorean triple</u>
<h3>#2</h3>
- x² = 40² + 9²
- x² = 1681
- x = √1681
- x = 41
<u>It is a Pythagorean triple (9, 40, 41)</u>
<h3>#3</h3>
- x² = 6² + 13²
- x² = 205
- x = √205
- x = 14.32, not an integer
<u>Not a Pythagorean triple</u>
Answer:
p + 0.11p
Step-by-step explanation:
The merchandise is marked up 11%. This means you pay 100% of the price plus 11%. We can represent that as (1+r) where r is the percent marked above. For 11%, this expression would be 1+0.11. We multiply that by the price p. p(1+0.11). This simplifies to p+0.11p. We can further simplify it to 1.11p.
P(1+r) = p(1+0.11)= p+0.11p=1.11p
Step-by-step explanation:
factor sin(x) out of the equation
sin(x) * (
) = sin(x)
Use the trigonometric identity 
sin(x) * 1 = sin(x)
sin(x) = sin(x)
Hello! Let's look at the two parts of this question.
Complete the table:
In this case, you just substitute the value of "hour" into the equation, for the value of t. For example:
P(0) = 120 
P(0) = 120 (1)
P(0) = 120
Therefore, the number of bacteria for hour 0 is 120.
You can do this for the next ones. Hour 1 = 240, hour 2 = 480, and so on. (In this case, you can keep multiplying by 2)
Estimate when there will be more than 100,000 bacteria:
Set the final value of P(t) = 100,000, then solve.
100,000 = 120 (2
833.33 = (2
t = 
t = 9.702744108
So your answer would be around 9.7 years, or, around 10 years.
Hope this helps!