Cual es el 5% de 80?
1 answer:
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Step-by-step explanation:
steps by steps are in the picture I hope this helps you!
Given:
Initial number of bacteria = 3000
With a growth constant (k) of 2.8 per hour.
To find:
The number of hours it will take to be 15,000 bacteria.
Solution:
Let P(t) be the number of bacteria after t number of hours.
The exponential growth model (continuously) is:
Where, is the initial value, k is the growth constant and t is the number of years.
Putting in the above formula, we get
Taking ln on both sides, we get
Therefore, the number of bacteria will be 15,000 after 0.575 hours.
Answer:
Step-by-step explanation:
By definition, a relation is a function if each input value has one and only one output value.
The input values are the x-values and the output values are the y-values.
Given:
and
We can identify that we need to find the output values of these input values:
Observe in the graph attached that:
- When
- When
- When
Therefore:
Option C:
x = 90°
Solution:
Given equation:
<u>To find the degree:</u>
Subtract 1 + cos²x from both sides.
Using the trigonometric identity:
Let sin x = u
Factor the quadratic equation.
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.