Since a log graph is with base 10 and a ln graph is with base e (2.something), the log x graph will clearly have smaller numbers (as, for example, log100=2 and ln100=around 4.6). In addition, you only have to multiply a number by e to increase the power by 1 but you have to multiply a number by 10 (which is significantly larger than e) to increase logx's power by 1, therefore proving that the log x graph will grow slower
Question:
A population of insects, in thousands, can be modeled using the function
, where t is time in months. Which statement best
describes the population of insects?
A. The population is decaying at a rate of 3% each month.
B. The population is decaying at a rate of 25% each month.
C. The population is growing at a rate of 75% each month.
D. The population is growing at a rate of 97% each month.
Answer:
A. The population is decaying at a rate of 3% each month.
Step-by-step explanation:
Given
Required
True statement about the function
From the options, we can see that we are to answer the question on the basis of decay and growing rates.
An exponential form is:
Compare to
If 
, then 
r represents growth rate
else, 
r represents decay rate
Since b < 0.97:
Answer:
C. The sum of the areas of the two smaller squares is equal to the area of the larger square.
Step-by-step explanation:
9 + 16 = 25
36 + 64 = 100
25 + 144 = 169
The relations "less than" and "greater than" can be ruled out. These observations are consistent with selection C.
The triangle area is half the product of the square roots of the squares on the legs, so the areas of the triangles are (respectively) 6, 24, 30. These are not related to the sum of the smaller squares, so the last selection can also be ruled out.
The answer is <span>f(x) = sin pi over 215x
I just took the test</span>
Answer:
The three most common ways to find a sample space are: To List All the Possible Outcomes. Create a Tree-Diagram. Use a Venn Diagram.
For example, let's suppose we flip a coin and roll a die.
1. How many outcomes are possible?
2. What is the probability space?
3. Identify the events.
Step-by-step explanation:
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