Answer:
48 is the answer
Explanation provided in picture
The first term is -43.
Explanation:
an = a + (n - 1)d
a12 = a + 11d = 56, first equation
a21 = a + 20d = 101, second equation
Subtract the second equation from the first equation, cancelling +a and -a
11d - 20d = 56 - 101
-9d = -45
d = 5
Subtitute d into the first equation
a + 99 = 56
a = -43
a refers to the first term, hence the first term is -43.
Answer:
categorical ordinal
Step-by-step explanation:
The variable is categorical because not important, somewhat important and very important are three different categories and these categories are assigned numerical value 1,2 and 3 still numerical value assigning cannot lead to quantitative variable because 1 still means category not important. The scale of measurement in the variable is ordinal because it has meaningful order from category 1 not important to category 3 very important.
Answer:
y + 13 = 5(x + 2)
Step-by-step explanation:
The slope-intercept form of the equation of a line is
y = mx + b,
where m = slope, and b = y-intercept.
From the slope-intercept equation y = 5x - 3, we see that the slope of the line is 3.
The point-slope form of the equation of a line is:
y - y1 = m(x - x1)
where m = slope, and (x1, y1) is a point on the line.
We have point (-2, -13), so x1 = -2, and y1 = -13.
We also have slope 5, so m = 5.
Now we use the coordinates of the given point and the slope in the point-slope equation.
y - (-13) = 5(x - (-2))
We simplify to get
y + 13 = 5(x + 2)
Answer:
10.7cm
Step-by-step explanation:
x^2= 115
x = √115
x = 10.7
