Answer:
The 64th term of the arithmetic sequence is -1075.
Step-by-step explanation:
Arithmetic sequence:
In an arithmetic sequence, the difference between consecutive terms, called common difference, is always the same.
The nth term of an arithmetic sequence is given by:
In which 
is the first term.
−4,−21,−38
First term -4, so 
Common difference of 
Thus
Find the 64th term of the arithmetic sequence
This is 
. So
The 64th term of the arithmetic sequence is -1075.
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Answer:
70= (x+3)
Step-by-step explanation:
the length of the rectangle its width by 3 inches, if the width is x,the length will be x+3. so A=LW= 70
To find= 70= (x+3)x
x= 7 or -10
In that 16 minutes, the amount that leaks out is (8 - 6) = 2 gallons.
The average unit rate of the leak is
(2 gal)/(16 min) = (2/16) (gal/min) = 1/8 gal/min
= 16 fluid ounce per min
= 4/15 fl oz per second
The Length of the Given Sign = 90 inches
The Side of the Triangle can be found by Pythagorean Theorem
⇒ (Side of the Triangle)² = 40² + 30²
⇒ (Side of the Triangle)² = 1600 + 900
⇒ (Side of the Triangle)² = 2500
⇒ (Side of the Triangle) = 50
⇒ Perimeter of the Given Sign = (4 × Side of Triangle) + (2 × Length)
⇒ Perimeter of the Given Sign = (4 × 50) + (2 × 90)
⇒ Perimeter of the Given Sign = (200 + 180) = 380 in
