This is a geometric series with a common ratio between successive terms that is less than 1 in absolute value. This means the series will converge. The value of the sum is
.
5x -15 + 3 -8x = 13
5x -12 -8x = 13
5x -8x =13 -12
-3x = 1
x = -1/3
12 hours worth $87
1 hour would be $87/12 = $7.25
9 hours worth $65.25
1 hour would be $65.25/9 = $7.25
The constant of proportionality is $7.25 per hour.
Step-by-step explanation:
d=(3/4)-(1/4)=(5/4)-(3/4)=(7/4)-(5/4)=1/2
then it is an arithmetic sequence
by using this equation :
a(n) = a1 +(n-1)d
and we have : a1=(1/4), d=(1/2)
So:
Explicit formula: a(n) = (1/4) +(n-1)*(1/2)
<em>hope this helps </em>
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Answer:
The fourth choice
24.2° and 114.2°
Step-by-step explanation:
Complementary angles add up to 90°
Supplementary angles add up to 180°
*a trick to remember this is to know that C is before S in the alphabet, and 90 is before 180, so Complementary is 90 and Supplementary is 180
Step 1: Find the complementary angle
Take 90° and subtract the give angle to find the angle you would need...
90° - 65.8° = 24.2°
Step 1: Find the supplementary angle
Take 180° and subtract the give angle to find the angle you would need...
180° - 65.8° = 114.2°
