Answer:
x = 1/3
Step-by-step explanation:
15 = 1/2 + 3/2x + 10
15 - 1/2 -10 = 3/2x
9/2 = 3/2x
9 x 2x = 3 x 2
18x = 6
x = 6/18
x = 1/3
Answer:
C. Every year the number of subscribers is estimated to increase by 8% over the
number of subscribers the year before.
Step-by-step explanation:
Using the formula :
S = 20,000 (1 + 0.08)^y to estimate ;
S = number of subscribers ; y = years
The expression : (1 + 0.08)^y
0.08 = 0.08 * 100% = 8%
(1 + 0.08)^y represents a continous growth or increase in the number of subcsribers by 8% over the number of subscribers the preceeding year
Answer:
- 12 ft parallel to the river
- 6 ft perpendicular to the river
Step-by-step explanation:
The least fence is used when half the total fence is parallel to the river. That is, the shape of the rectangle is twice as long as it is wide.
72 = W(2W)
36 = W²
6 = W . . . . . . the width perpendicular to the river
12 = 2W . . . . the length parallel to the river
_____
<em>Development of this relation</em>
Let T represent the total length of the fence for some area A. Then if x is the length along the river, the width is y=(T-x)/2, and the area is ...
A = xy = x(T -x)/2
Note that the equation for area is that of a parabola with zeros at x=0 and at x=T. That is, for some fence length T, the area will be a maximum at the vertex of this parabola. That vertex is located halfway between the zeros, at ...
x = (0 +T)/2 = T/2
The corresponding area width (y) is ...
y = (T -T/2)/2 = T/4
Equivalently, the fence length T will be a minimum for some area A when x=T/2 and y=T/4. This is the result we used above.
Answer:
n = 22
Step-by-step explanation:
Since they are vertical angles they are the same.
Therefore you can put together this equation:
2n - 8 = 36
Add 8 to both sides
2n = 44
Divide by 2
n = 22
Answer:
For example, if you wish to find the average grade on a test for your class but one student fell asleep and scored a 0, the mean would show a much lower average because of one low grade, while the median would show how the middle group of students scored.
Step-by-step explanation:
