Answer:
a n = -3+(n-1)-30
Step-by-step explanation:
-3 - 30 = -33
-33 - 30 = -63
-63 - 30 = -93
The common difference here is -30. d = -30
The explicit formula is a n = a1 + (n-1)d
Lateral Area of a cylinder is ; 2πR.H
R=12 mm and H= 15 mm
Then LATERAL area = 2π(12)(15) =48π ≈ 150 mm²
p(-5, 2)
the rule is x + 3, so add -5 + 3 = -2
the x coordinate of P' is -2
Answer: There were 10 students in the class on the first day.
Step-by-step explanation:
Let x be the number of students of the first day.
Given: A college writing seminar increased its size by 50 percent from the first to the second day.
i.e. Number of students on second day = (Number of students on first day)+(50% of Number of students on first day)
= x +50% of x
= x+0.50x
= (1.50)x
=1.50x
Since, it is given that the total number of students in the seminar on the second day was 15.
i.e. 
Hence, there were 10 students in the class on the first day.
Answer:
Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
Step-by-step explanation:
First, we need to <em>divide</em> 927.8 miles by 5.
927.8 ÷ 5 = 185.56 is her daily mileage, including the detour.
Since her detour <em>added </em>17.3 miles to her <em>daily mileage</em>, we need to <em>subtract </em>this from her current daily mileage.
185.56 - 17.3 = 168.26 is her daily mileage when there is no detour.
Now, in order to find her mileage for 5 days, we need to <em>multiply</em> this number by 5.
168.26 x 5 = 841.3
Therefore, Alice drives 168.26 miles daily and 841.3 miles per 5 days on her regular route when there is no detour.
