Step-by-step explanation:
Greatest is starting by 8 and the littlest is 1.
Answer:
Area = 121pi/12
~= 31.66 sq units
Step-by-step explanation:
They are talking about looking at an umbrella like its a circle. The radius is 11 units. That is from the center to the edge.
Consecutive means "in a row" or "next to each other" The 12 "ribs" are the like skeleton structure in the umbrella. But they cut the umbrella into 12 areas. They are asking for the area of one "slice". It is 1/12 of the area of the whole circle.
Area of a circle is
A = pi × r^2
Area of one slice is 1/12 of the whole.
A(1 slice)
= 1/12× pi × r^2
See image.
Answer:
39.50
42.50
Step-by-step explanation:
Age of the 2 men = sum of the ages of the 6 men - sum of the ages of the 4 men
Average = sum of ages / total number of men
35 = sum of ages / 6
sum of ages = 35 x6 = 210
32 = sum of ages / 4
32 x 4 = sum of ages
128
210 - 128 = 82
age of the younger man = x
age of the older man = 3 + x
x + 3 + x = 82
2x + 3 = 82
2x = 82 - 3
2x = 79
x = 79/2 = 39.5
older man = 39.5 + 3 = 42.50
It is not appropriate because it isn't reflective of the points on the right side and its deviation from the points, which has an obvious positive correlation, is too great to be a line of best fit. To make it better, make it less steep and start the line close to the origin.
To solve using synthetic division:
Draw an upside down division symbol (I did the best I can given the format). Place the constant of x - 1 (1) on the outside, and the coefficients of x³ - 2x² - 1 on the inside, like so:
| x³ x² x¹ x⁰
1 | 1 -2 0 -1
|
|___________
Next, bring down the first coefficient.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
|
|___________
1
Multiply the number on the outside of the symbol (1) by the coefficient you've just brought down (1). Place that number under the next coefficient to the right.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1
Add the new number (1) to the coefficient above it (-2) and place that number directly underneath it.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1
|___________
1 -1
Continue this process until you've run out of numbers to multiply.
| x³ x² x¹ x⁰
1| 1 -2 0 -1
| 1 -1 -1
|___________
1 -1 -1 -2
The resulting numbers are coefficients. The first three are part of the quotient, and the last one is part of the remainder. The remainder becomes the last coefficient (-2) over the divisor (x - 1).
Answer:
(x³ - 2x² - 1) / (x - 1) = x² - x - 1 + -2/x - 1
