Looks like you just evaluated the summand for the given value of
, whereas the question is asking you to find the value of the sum for the first
terms.
Let
. Then
is the
th partial sum.
happens to be the first term in the series, which is why that box is marked correct:
But the next partial sum is not correct:
and this is not the same notion as the second term (which indeed is 0.75) in the series.
Answer:
Equation of line best fits the scatter plot is y = 
Step-by-step explanation:
Let the equation of line be y = mx + c
where m = slope of line and c is the intercept on y -axis
from the graph intercept on y-axis is 108
and the slope of line is given by m = 
where (
) and (
) is the points on line
let, points be (4,96) and (18,36)
on calculating this m = = 
Therefore equation of line best fits the scatter plot is y =
Answer:
A. (0, -2) and (4, 1)
B. Slope (m) = ¾
C. y - 1 = ¾(x - 4)
D. y = ¾x - 2
E. -¾x + y = -2
Step-by-step explanation:
A. Two points on the line from the graph are: (0, -2) and (4, 1)
B. The slope can be calculated using two points, (0, -2) and (4, 1):
Slope (m) = ¾
C. Equation in point-slope form is represented as y - b = m(x - a). Where,
(a, b) = any point on the graph.
m = slope.
Substitute (a, b) = (4, 1), and m = ¾ into the point-slope equation, y - b = m(x - a).
Thus:
y - 1 = ¾(x - 4)
D. Equation in slope-intercept form, can be written as y = mx + b.
Thus, using the equation in (C), rewrite to get the equation in slope-intercept form.
y - 1 = ¾(x - 4)
4(y - 1) = 3(x - 4)
4y - 4 = 3x - 12
4y = 3x - 12 + 4
4y = 3x - 8
y = ¾x - 8/4
y = ¾x - 2
E. Convert the equation in (D) to standard form:
y = ¾x - 2
-¾x + y = -2
Answer:
43/8
Step-by-step explanation:
if you split 5 into parts of 8 than that becomes 40/8 plus the 3/8 is 43/8
Answer:
x = 27°
Step-by-step explanation:
m<D
m<CBE = 63° (Given)
m<CBE = m<ABD (vertical angles)
m<ABD = 63° (substitution)
x = 180 - (m<ABD + m<D) (Sum of triangle)
x = 180 - (90 + 63)
x = 27°
