4 ^ (1/7 ) is the 7th root of 4 or the 3rd box
4 ^ (7/2) is 4 to the 7th power then the square root or the 2nd box
7 ^ (1/4) is the 4th root of 7 or the 4th box
7 ^ (1/2) is the square root of 7 or the 6th box
Answer:
y = -2/3 x - 13/3
Step-by-step explanation:
We have one point at (-5,-1) and there is another point at (1,-5)
The slope is
m= (y2-y1)/(x2-x1)
= (-5--1)/(1--5)
= (-5+1)/(1+5)
= -4/6
=-2/3
The point slope form of the equation is
y-y1 = m(x-x1)
y--1 = -2/3(x--5)
y+1 =-2/3( x+5)
Distribute
y+1 = -2/3 x -10/3
Subtract 1 from each side
y +1-1 = -2/3 x -10/3 -1
Get a common denominator
y = -2/3 x -10/3 -3/3
y = -2/3 x - 13/3
Answer: <u>150 students</u>
Step-by-step explanation:
Let X be the total number of students. We are told that:
0.60X = 90 students
X = (90 students)/0.60
X = 150 students
Yes because it's a random sample and it doesn't target any specific group
9514 1404 393
Answer:
(x, y) = (5, 9)
Step-by-step explanation:
We must find the value of x before we can find the value of y. Fortunately, simply adding the arcs around the circle will give an equation for x.
25x +20x +7x +20x = 360 . . . . angles in degrees
72x = 360 . . . simplify
x = 5 . . . . . . divide by 72
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The value of the external angle at J is half the difference of arcs GL and HK. That is, ...
5y = (25x -7x)/2 = 9x = 9(5) . . . . simplify, fill in for x
y = 9 . . . . . . divide by 5
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(x, y) = (5, 9)
