Answer: the height in inches, of the pile after 3 weeks is 34 11/12 inches
Step-by-step explanation:
Each consecutive week for the next 5 weeks the height of pile increase by 8 7/12 inches. Converting 8 7/12 inches to improper fraction, it becomes 103/12 inches. The height is increasing in an arithmetic progression. The formula for determining the nth term of an arithmetic sequence is expressed as
Tn = a + (n - 1)d
Where
a represents the first term of the sequence.
d represents the common difference.
n represents the number of terms in the sequence.
From the information given,
a = 17 3/4= 71/4 inches
d = 103/12 inches
n = 3 weeks
the height in inches, of the pile after 3 weeks, T3. Therefore,
T3 = 71/4 + (3 - 1)103/12
T3 = 71/4 + 2 × 103/12 = 71/4 + 103/6
T3 = 419/12 inches = 34 11/12 inches
Answer:
M=-3
Step-by-step explanation:
10=7-m
Subtract 7 from both sides
3=-m
Divide by negative
-3=m
The answer is 6. Hopefully this helped!!
Answer:
see explanation
Step-by-step explanation:
A cube has 6 congruent square faces
The area of 1 face = 
× = 
Multiply by 6 to obtain surface area of cube
surface area = 6 × = 
= 
units²
Answer:
(4, 1/4)
Step-by-step explanation:
Factoring the numerator and the denominator, we have:
