2/3 ÷ 3/11
flip the second one and multiply:
2/3 × 11/3
22/9
2 4/9
Hope this helps :)
In
order to solve for a nth term in an arithmetic sequence, we use the formula
written as:<span>
an = a1 + (n-1)d
where an is the nth term, a1 is the first value
in the sequence, n is the term position and d is the common difference.
First, we need to calculate for d from the given
values above.
<span>a3 = 20.5 and a8 = 13
</span>
an = a1 + (n-1)d
20.5 = a1 + (3-1)d
</span>an = a1 + (n-1)d
13 = a1 + (8-1)d
<span>
a1 = 23.5
d = -1.5
The 11th term is calculated as follows:
a11 = a1 + (n-1)d
a11= 23.5 + (11-1)(-1.5)
a11 =
8.5</span>
Answer:
21 square feet
Step-by-step explanation:
To find out the area of this irregular figure, divide it into two rectangles and add their areas.. This can be done in two ways.
Version 1: 6 * 2 rectangle and 3 * 3 square
(6 * 2) + (3 * 3)
12 + 9
21 sq. ft.
Version 2: 5 * 3 rectangle + 2 * 3 rectangle
(5 * 3) + (2 * 3)
<em>You could really just do 7 * 3 here.</em>
7 * 3
21 sq. ft.
Either way, you still get 21 square feet as your answer.
1/2y^2=1/2x^2+8. The curve's slope at (x,y) is x/y, so dy/dx=x/y. To solve this differential equation, rearrange it to: y*dy=x*dx, and by integrating both sides, we get 1/2y^2=1/2x^2+C (some constant). Plug in (0,4) into this equation, 8=0+C, so C=8. The curve's equation is 1/2y^2=1/2x^2+8.
