Answer:
8.2
Step-by-step explanation:
Use cosine law:
BC² = 7² + 9² - 2(7)(9)cos(60)
BC² = 67
BC = sqrt (67)
BC = 8.1853
BC = 8.2 (nearest tenth)
X is 31
The triangles are similar so each angle measure is exactly the same. It is just the side lengths that change.
Answer:
The mean absolute deviation is 2.4
Step-by-step explanation:
Answer:
<em>It will take 26.34 minutes for the population to reach 5 times its initial value</em>
Step-by-step explanation:
<u>Exponential Growing</u>
The population of bacteria grows at a rate expressed by the equation:

Where t is in minutes.
We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

Now we find the time when the population is 5*256=1,280. The equation to solve is:

Dividing by 256:

Taking natural logarithms:

Applying the logarithm properties:

Solving for t:

It will take 26.34 minutes for the population to reach 5 times its initial value