Answer:
Your answer is <em>8.06</em>.
Step-by-step explanation:
Since you're finding the hypotenuse of the triangle through Pythagorean theorem, you need to use the formula:
a² + b² = c²
Here, you have to remember that x is the same as c in the formula. c is the hypotenuse and x.
a is going to be your smallest leg, so in this case a = 4.
b is going to be your longest leg, so it is b = 7.
Now, you don't know what c yet is so you simply write it as:
4² + 7² = c²
Do the exponents.
16 + 49 = c²
Add.
65 = c²
Now you need to get the exponent away from the c. To do that, all you have to do is square root both sides.
√65 = √c2
Once you do that, you have your answer!
<u>8.0622577483 = c</u>
Now just simplify and you're done :)
<u>8.06</u>
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Might sound hard now but you'll get the hang of it.
We use the formula for exponential growth:
P = Po exp(kt)
Using the population data from 1993 to 1996, we can solve for the growth rate k
76 = 72 exp(k(3))
76/72 = exp(3k)
ln (76/72) = 3k
k = ln(76/72) / 3 = 0.0180
In 10 years (2003), the population will be:
P = Po exp(0.0180t)
P = 72 exp(0.0180(10))
P = 86.22 million
Answer:
Step-by-step explanation:
<u>Step 1: Combine like terms</u>
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Answer:
I believe its 0.08522727, idk if this is correct
i'm sorry if i'm wrong
~Zane
