I am assuming you are trying to find the sum.
First, plug in n for 1, then n for 80 to get the following numbers:
5/6 and 163/6
As you go up the sequence, as n is increased by 1, then the next number is increased by 1/3
Use the arithmetic sequence formula to solve for the sum.
n * (a1 + a2)/2 where a1 is 1st number and a2 is last number.
80 * (5/6 + 163/6)/2
Simplify the expression to get 1120.
(55 - 14.25) divided by 1.25 = g
Given the sides of a triangular rug and an included angle between them, the area is calculated through the equation,
A = 0.5ab (cos C)
where a and b are the lengths of the side and C is the included angle.
A = 0.5(5 ft)(4 ft)(cos 79°)
A = 1.9 ft²
Thus, the area of the triangular rug is approximately 1.9 ft².
Answer:
C
Step-by-step explanation:
Given that Q varies inversely as the square of p then the equation relating them is
Q = 
← k is the constant of variation
To find k use the condition Q = 36 when p = 7
k = Qp² = 36 × 7² = 36 × 49 = 1764
Q = 
← equation of variation
When p = 6, then
Q = 
= 
= 49 → C
The slope intercept form of a linear equation has the following form where the equation is solved for y in terms of x:
<span>y = a + bx
b is the slope
a is a constant term. It is the y intercept, the place where the line crosses the y axis.</span>
Example 1
y = -13 + 7x
This equation is in slope intercept form. The y intercept is (0,-13) and the slope is 7.
Example 2
4x + 3y = 12
Rewrite this equation in slope intercept form.
<span>3y = 12 - 4x</span>
The equation is now in slope intercept form. The y intercept is (0,4) and the slope is
-4/3.
Example 3
5x - 3y - 15 = 0
Rewrite this equation in slope intercept form.
<span>3y = -15 + 5x</span>
The equation is now in slope intercept form. The y intercept is (0,-5) and the slope is
5/3.
Example 4
The equation is now in slope intercept form. The y intercept is (0,-7.5) and the slope is
1.5.
