Answer: 190
Split the summation into smaller summations that fit the summation rules
10∑ j=1 (2j+8) = 2 10∑ j=1 (j) + 10 ∑ j=1 (8)
Firstly Evaluate
10
2 ∑ j=1 j
The formula for the summation of a polynomial with degree one is:
n∑ k=1 k =n (n+1) / 2
putting the values
2∑ j=1 j = (2)* 10 * (10+1) / 2
= 110…………………..(1)
second Evaluate :
10 ∑ j=1 (8)
The formula for the summation of a constant is:
N ∑ k=1 c = cn
Putting the values
10 ∑ j=1 (8) = 8 * 10
= 80……………….(2)
Adding both (1) and (2)
110+80
190
Answer:
The inequality that represents the second graph is:
Step-by-step explanation:
From the second number line, you can see that the circle is <u>closed</u> on positive 3 and the arrow is pointing <u>left</u> - the direction of negative numbers, so you know that the value of x must be <u>less than or equal to 3</u>. Thus, you can write the inequality: - <u>X is less than or equal to 3</u>
<u></u>
Hope this helps!
Answer:
D. 13.9
Step-by-step explanation:
Find the missing side
x = 16 ×
x = 13.9
It is sin because its opposite over hypotenuse
let P(-2,0) & Q(0,2)
slope = 2-0/0+2
= 1
the slope is 1 which will be 45°