Answer:
98, 317, 342
Step-by-step explanation:
Answer:
As can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Step-by-step explanation:
Given that a national organization sets out to investigate the change in prevalence of HIV since the last census in 2010, ya total of 4,706 participants were interviewed and a total of 468 responses were confirmed to be HIV positive, assuming that the data from the census indicated that the prevalence of HIV in the particular population was 7.5%, to determine if the proportion of the prevalence of HIV has changed (is equal to 7.5%) the following calculation should be performed:
4706 = 100
468 = X
468 x 100/4706 = X
46,800 / 4,706 = X
9.94 = X
Therefore, as can be seen, there has been a rise in the proportion of the population with HIV positive, from 7.5% to 9.94%.
Answer:
x = -1, x = 1
Step-by-step explanation:
Factor the equation. (It's a difference of squares, so we know the form will be (a-b)(a+b).)
![y = x^{2} - 1\\y = (x-1)(x+1)](https://tex.z-dn.net/?f=y%20%3D%20x%5E%7B2%7D%20-%201%5C%5Cy%20%3D%20%28x-1%29%28x%2B1%29)
Test this by FOILing it out, if you're unsure. This is something it can be good to memorize!
Set it equal to 0.
![0 = (x+1)(x-1)](https://tex.z-dn.net/?f=0%20%3D%20%28x%2B1%29%28x-1%29)
Separate the two parenthetical expressions by the Zero Product Property.
![0 = x+1\\0 = x-1](https://tex.z-dn.net/?f=0%20%3D%20x%2B1%5C%5C0%20%3D%20x-1)
Solve for x!
![x=-1, x=1](https://tex.z-dn.net/?f=x%3D-1%2C%20x%3D1)
Answer:
Part 1) The area of the circle is ![A=50.24\ yd^2](https://tex.z-dn.net/?f=A%3D50.24%5C%20yd%5E2)
Part 2) The circumference of the circle is ![C=25.12\ yd](https://tex.z-dn.net/?f=C%3D25.12%5C%20yd)
Step-by-step explanation:
step 1
The area of a circle is equal to
![A=\pi r^{2}](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E%7B2%7D)
we have
---> the radius is half the diameter
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![A=(3.14)(4)^{2}](https://tex.z-dn.net/?f=A%3D%283.14%29%284%29%5E%7B2%7D)
![A=50.24\ yd^2](https://tex.z-dn.net/?f=A%3D50.24%5C%20yd%5E2)
step 2
The circumference of a circle is equal to
![C=\pi D](https://tex.z-dn.net/?f=C%3D%5Cpi%20D)
we have
![\pi =3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D3.14)
substitute
![C=(3.14)8](https://tex.z-dn.net/?f=C%3D%283.14%298)
![C=25.12\ yd](https://tex.z-dn.net/?f=C%3D25.12%5C%20yd)
Answer:
The x-intercept is x = -2, and the graph approaches a vertical asymptote at x = -3.
Step-by-step explanation:
The given graph is a transformed logarithm function.
The graph is obtained by shifting the parent function three units left.
The vertical asymptote is now
![x = - 3](https://tex.z-dn.net/?f=x%20%3D%20%20-%203)
The x-intercept is where the graph intersect the x-axis, which is x=-2
Therefore the last option is correct.