9514 1404 393
Answer:
- 0 ≤ m ≤ 7
- 0.4541 cm/month; average rate of growth over last 4 months of study
Step-by-step explanation:
<u>Part A</u>:
The study was concluded after 7 months. The fish cannot be expected to maintain exponential growth for any significant period beyond the observation period. A reasonable domain is ...
0 ≤ m ≤ 7
__
<u>Part B</u>:
The y-intercept is the value when m=0. It is the length of the fish at the start of the study.
__
<u>Part C</u>:
The average rate of change on the interval [3, 7] is given by ...
(f(7) -f(3))/(7 -3) = (4(1.08^7) -4(1.08^3))/4 = 1.08^3·(1.08^4 -1)
≈ 0.4541 cm/month
This is the average growth rate of the fish in cm per month over the period from 3 months to 7 months.
Answer:
4 - 7g
Step-by-step explanation:
Combine like terms: 5 - 9 - 7g = -4 - 7g (answer)
the answer is five point six five, 5.65
Answer:
Step-by-step explanation:
6x^2+4x-42
2(3x^2+2x-21)=0
3x^2+2x-21=0
3x^2+(9-7)x-21=0
3x^2+9x-7x-21=0
3x(X+3)-7(X+3)=0
(3X-7)(X+3)=0
So Answer is (3x-7)(X+3)
Answer:
The lenghts of both legs: ![\frac{15\sqrt{2}}{2}\ inches](https://tex.z-dn.net/?f=%5Cfrac%7B15%5Csqrt%7B2%7D%7D%7B2%7D%5C%20inches)
Step-by-step explanation:
By definition, when a triangle has angles that measures 45°, 45° and 90°, its legs are congruent.
Then, knowing the lenght of the hypotenuse, we can find the lenght (in inches) of any leg of the given triangle by applying the Trigonometric Identity
:
![sin(45\°)=\frac{leg}{15}\\\\leg=\frac{15}{\sqrt{2}}](https://tex.z-dn.net/?f=sin%2845%5C%C2%B0%29%3D%5Cfrac%7Bleg%7D%7B15%7D%5C%5C%5C%5Cleg%3D%5Cfrac%7B15%7D%7B%5Csqrt%7B2%7D%7D)
Finally, simplifying, we get:
![leg=\frac{15(\sqrt{2})}{(\sqrt{2})(\sqrt{2})}=\frac{15\sqrt{2}}{2}](https://tex.z-dn.net/?f=leg%3D%5Cfrac%7B15%28%5Csqrt%7B2%7D%29%7D%7B%28%5Csqrt%7B2%7D%29%28%5Csqrt%7B2%7D%29%7D%3D%5Cfrac%7B15%5Csqrt%7B2%7D%7D%7B2%7D)