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<span>Since we need to convert “miles per second” to “miles per hour,” we first need to find out how many seconds there are in a hour.
We know that there are 60 seconds in a minute, and if we wanted to do an hour we would have to do 60 * 60 which is 3600 seconds, therefore,
</span>1 mi/57.1 sec = (1 mi/ 57.1 sec)(3600 sec/1 hour)
= (3600/57.1) mi/hours
<span> = 63.047 mi/hours</span>
We want to see how much the population of goats grows each year. We will see that the correct option is c: 17%.
<h3>
Exponential growth of populations</h3>
We know that:
- The initial number of goats is 1,500.
- After 11 years, the population is 8,400.
The population can be modeled with an exponential equation as:
P(t) = A*(1 + r)^t
Where:
- A is the initial population.
- r is what we want to find, it depends on how much the population increases.
- t is the time in years.
So we have:
P(t) = 1500*(1 + r)^t
And we know that after 11 years the population is 8,400, so we have:
P(11) = 1500*(1 + r)^11 = 8400
Now we can solve this for r:
(1 + r)^11 = 8400/1500 = 5.6
(1 + r) = (5.6)^(1/11) = 1.17
r = 1.17 - 1 = 0.17
r = 0.17
To get it in percentage form, you just need to multiply it by 100%
0.17*100% = 17%
This means that the population increases a 17% each year, so the correct option is c.
If you want to learn more about exponential growth, you can read:
brainly.com/question/13223520
(x+5)(x-5)
= x^2 - 5x + 5x - 25
= x^2 - 25
(5x+3)(5x-3)
= 25x^2 - 15x + 15x - 9
= 25x^2 - 9
do you see the pattern? both the coefficient on x and constant multiply together to make a perfect square and the middle term, also known as "b" term cancels out leaving a binomial
Answer:
its A
Step-by-step explanation:
can pls have brainiest