To get from 27 to 67.5 you multiply 27 by 2.5 so you need to do the same to the 5
5x2.5=12.5
=12.5in
Exponential change can be modeled by:
N = N(0) x λⁿ; where λ is the rate of change. It is greater than 1 when there is growth and less than 1 when there is decay. n is the number of time periods passed.
λ is 1 + 0.083 = 1.083
N(0) is the initial value of 750
n is 2050 - 2005 = 45 years
N = 750 x (1.083)⁴⁵
= 27,000 fish
Answer: 11
Step-by-step explanation:
2 3/4 × 8 = p/4 × 8/1
Let p be the missing number
Convert the mixed fraction 2 3/4 to proper fraction, multiply 4 x 2, then add 3= 11/4
11/4 × 8 = p/4 ×8
p= 11
I hope this helps.
Answer: x = 14.43
Step-by-step explanation:
The Pythagorean Theorem states the following:
a^2 + b^2 = c^2
Make one side of the triangle x
Make the second side of the triangle 2x
Now, you can plug the values into the equation, right?
x^2 + 2x^2 = 25^2 or 625
3x^2 = 625
Divide each side by 3 and you are left with:
x^2 = 208.33
Now, take the square root of 208.33
x = 14.43
That is the shorter side. The longer side is twice that value: Therefore, 14.43 x 2 = 28.86 14.43 is one side of the triangle. The other is that same value times two. Therefore, the sides of your triangle are: 14.43 Shorter side 28.86 Longer side