= 1455
generate a few terms of the sequence using 
= 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using 
= 
[ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= 
[( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455
Answers:
hypotenuse = 20 feet
longer leg = 16 feet
======================================================
Explanation:
c = x = length of the hypotenuse
a = x-4 = length of one of the legs
b = 12 = length of the other leg
Use the pythagorean theorem
a^2 + b^2 = c^2
12^2 + (x-4)^2 = (x)^2
144 + x^2 - 8x + 16 = x^2
144 - 8x + 16 = 0 .... the x^2 terms cancel
160-8x = 0
160 = 8x
8x = 160
x = 160/8
x = 20 is the hypotenuse
x-4 = 20-4 = 16 is the longer leg
--------
Check:
12^2+16^2 = 144+256 = 400
20^2 = 400
Since 12^2+16^2 = 20^2 is true, this means we have a right triangle with legs of 12 and 16, while the hypotenuse is 20. The answer is confirmed.
Answer:
I think it's x-axis.
Step-by-step explanation:
but me could me wrong
Answer:
$97.50 per week and $2100
Step-by-step explanation:
1. The total number of hours worked for a week is 4 + 5 + 4 which is 13. 13 hours multiplied by $7.50 per hour is $97.50 per week.
2. If $350 is 1/6 of her total monthly pay then multiply $350 by 6 to get the monthly total pay. $350 * 6 = $2100
Answer:
False.
Step-by-step explanation:
That is false. For y = x^2 the dependent variable is y. The vertical axis is used for the dependent variable.
