Complete Question
The complete question is shown on the first uploaded image
Answer:
The value is 
Step-by-step explanation:
From the question we are told to obtain the area to the of the z-score 1.39 and to the left of the z-score 1.53, this is mathematically represented as
From the z table on the question the area under the normal curve to the left corresponding to 1.53 and 1.39 is
and
So
=>
Answer:
The triangle is acute because all of the angles are less than 90º
Answer: Surface area of the cone is 40.85cm^2
Step-by-step explanation:
Factor x^5 - x to get x(x^4 - 1) = x(x^2-1)(x^2+1) = x(x-1)(x+1)(x^2+1)
We see that x = 0, x = 1 and x = -1 are the real number roots or x intercepts. Ignore the complex or imaginary roots. Unfortunately, the graph shows the x intercepts as -2, 0 and 2 which don't match up.
So there's no way that the given graph matches with f(x) = x^5-x.
-------------------
As more proof, let's consider the end behavior.
As x gets really large toward positive infinity, x^5 will do the same and so will x^5-x. Overall, f(x) will head off to positive infinity. Visually, moving to the right will have the graph move upward forever. This is the complete opposite of what is shown on the graph.
Likewise, the left endpoint should be aimed down instead of up. This is because x^5-x will approach negative infinity as x heads to the left.
In short, the graph shows a "rises to the left, falls to the right" end behavior. It should show a "falls to the left, rises to the right" pattern if we wanted to have a chance at matching it with x^5-x. Keep in mind that matching end behavior isn't enough to get a 100% match; however, having this contradictory end behavior is proof we can rule out a match.
I recommend using Desmos, GeoGebra, or whatever graphing program you prefer to plot out y = x^5-x. You'll get a bettter idea of what's happening.
Answer:
2055 km²
Step-by-step explanation:
The amount of forest remaining after t years can be modeled by the exponential equation ...
remaining = original · (multiplier each year)^(number of years)
area = 4100·0.955^t
Then for t=15, the area is ...
area = 4100·0.955^15 ≈ 2055.1 . . . . km²
The area of the forest after 15 years will be about 2055 square kilometers.
