The 12th term of the sequence is 133
<h3>How to determine the 12th term?</h3>
The nth term is given as:
Tn = 11n + 1
The 12th term is calculated as:
T(12) = 11(12) + 1
Evaluate
T(12) = 133
Hence, the 12th term of the sequence is 133
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Answer:
12 = 5k/2
24 = 5k
Step-by-step explanation:
Raul is making chocolate chip pancakes.
The number of chocolate chips he uses is proportional to how many ounces of mix he makes.
Hence,
Chocolate chips ∝ Number of Ounces
Chocolate chips = c
Number of Ounces = m
= cm
c = km
Where k = Constant of Proportionality
The recipe said that for every 2 1/2 ounces of the mix, 12 chocolate chips be added.
Hence
12 = 21/2 × k
12 = 5/2 × k
12 = 5k/2
Cross multiply
12 × 2 = 5k
24 = 5k
The equation that represents the relationship between c the number of chocolate chips and m the number of ounces is
12 = 5k/2
24 = 5k
Answer:
volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( 
x + b )² dx
Step-by-step explanation:
Given the data in the question and as illustrated in the image below;
R is in the region first quadrant with vertices; 0(0,0), A(a,0) and B(0,b)
from the image;
the equation of AB will be;
y-b / b-0 = x-0 / 0-a
(y-b)(0-a) = (b-0)(x-0)
0 - ay -0 + ba = bx - 0 - 0 + 0
-ay + ba = bx
ay = -bx + ba
divide through by a
y = x + ba/a
y = x + b
so R is bounded by y = x + b and y =0, 0 ≤ x ≤ a
The volume of the solid revolving R about x axis is;
dv = Area × thickness
= π( Radius)² dx
= π ( x + b )² dx
V = π ₀∫^a ( x + b )² dx
Therefore, volume of the solid generated when region R is revolved about the x-axis is π ₀∫^a ( x + b )² dx
Answer:
The answer is $61.20
Step-by-step explanation:
First you multiply 72 by .15 (which is 15% converted to a decimal), which gives you 10.8. You then subtract 10.8 from 72.
Answer:
31.53
Step-by-step explanation:
6% of 525.50 is 31.53
