The series 7 + 16 + 25 +34 +43 +52 + 61 is an illusration of arithmetic series
The sigma notation of the series is: 
<h3>How to write the series in sigma notation?</h3>
The series is given as:
7 + 16 + 25 +34 +43 +52 + 61
The above series is an arithmetic series, with the following parameters
- First term, a = 7
- Common difference, d = 9
- Number of terms, n = 7
Start by calculating the nth term using:
a(n) = a + (n - 1) * d
This gives
a(n) = 7 + (n - 1) * 9
Evaluate the product
a(n) = 7 - 9 + 9n
Evaluate the difference
a(n) = 9n - 2
So, the sigma notation is:
Read more about arithmetic series at:
brainly.com/question/6561461
Answer:
-1
Step-by-step explanation:
-3t+3=6
-3t=3
t=-1
4/10 cookies so that is 2/5 or 40% :)
Y = ln {[sin(x)]^2}
use the chain rule
y' = 1 /[sin(x)]^2 * 2sin(x)*cos(x) = 2cos(x) / sin(x) = 2 cot(x)
Answer: 2 cot(x)
Answer:
Rectangle 1 area: 53 units squared
Shape 2 area: 43.75 units squared
Step-by-step explanation:
Shape 1:
We need to find the area of the two triangles in this rectangle and subtract it from the total area of the rectangle.
Total area of the rectangle:
13 * 5 = 65
Area of triangles (they are congruent):
1/2 * 4 * 3 = 6
6 * 2 = 12
65 - 12 = 53
The area of the shaded part is 53 (I don't know what your unit of measurement is. Just say units.)
Shape 2:
First, let's find the area of the parallelogram at the top.
10 * 3 = 30
Now, let's find the area of the rest of the shape. Triangle first...
1/2 * 4 * 1.5 = 3
Now, the rectangle and the tiny triangle we can section out at the end:
7 * 1.5 = 10.5 + 1/4 (Triangle) or 0.25 = 10.75
Total area: 10.75 + 3 + 30 = 43.75
