Answer:
Step-by-step explanation:
We have been given that there are 170 deer on a reservation. The deer population is increasing at a rate of 30% per year.
We can see that deer population is increasing exponentially as each next year the population will be 30% more than last year.
Since we know that an exponential growth function is in form: , where a= initial value, r=growth rate in decimal form.
It is given that a=170 and r=30%.
Let us convert our given growth rate in decimal form.
Upon substituting our given values in exponential function form we will get,
Therefore, the function will give the deer population P(t) on the reservation t years from now.
The area of a square increases by a factor 2n when its perimeter increases by a factor of n
<h3>How to determine the perimeter and area of each square?</h3>
Start by calculating the side length of each square
From the diagram, we have the following side lengths in ascending order
Square 1 = 2
Square 2 = 4
Square 3 = 8
<u>The perimeter</u>
This is calculated as:
P = 4 * Side length
So, we have:
Perimeter Square 1 = 4 * 2 = 8
Perimeter Square 2 = 4 * 4 = 16
Perimeter Square 3 = 4 * 8 = 32
Hence, the perimeters of the squares are 8, 16 and 32
<u>The area</u>
This is calculated as:
A = Side length^2
So, we have:
Area Square 1 = 2^2 = 4
Area Square 2 = 4^2 = 16
Area Square 3 = 8^2 = 64
Hence, the areas of the squares are 4, 16 and 64
<h3>What happens to the area of a square when its perimeter increases by a factor of n?</h3>
Using the computations in (a), the area of a square increases by a factor 2n when its perimeter increases by a factor of n
Read more about area and perimeter at:
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The range of years would be 493 to 745.
According to the empirical rule, 99.7% of data will fall within 3 standard deviations from the mean. Using this information, we have
619+3(42) and 619-3(42)
619+126 and 619-126
745 and 493
Answer:
C. 490.
Step-by-step explanation:
25% = 0.25.
If the number of emails that Ryan and Taylor each received is x emails then Sara received 2x + 0.25 * 2x = 2.5 emails.
So 2x + 2.5x = 882
x = 882/4.5
x = 196.
So Sara received 2.5 * 196
= 490 emails.
Answer:
so least to greatest? 1/4 1/3 1/2