Answer:
T=N*M and he needs to read 44 books.
Step-by-step explanation:
Note: Let T represent the total amount of books that Alan needs to read in 11 months.
If we plug in the information we have been given we will find the total:
T=N*M
T=4*11
T=44
Alan has to read 44 books within a 11 month period.
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<span>Volume of the Sphere V = 4/3pi x r^3
So when diameter d = 3 inches => r = 1.5 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 1.5^3 = 14.14 in
So when diameter d = 8 inches => r = 4 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 4^3 = 268.03 in
So when diameter d = 9 inches => r = 4.5 inches
volume of the sphere = 4.188 x r^3 = 4.188 x 4.5^3 = 381.63 in
value for option (a) is 3 x 14.14 = 42.42 inches
value for option (b) is 268.03 inches
value for option (c) is 381.63 / 2 = 190.815 inches
So the correct option would be (b)</span>
Answer:
Step-by-step explanation:
4 is coefficient
x is variable
12 is constant
= 1455
generate a few terms of the sequence using = 3n + 2
= ( 3 × 1) + 2 = 5
= (3 × 2) + 2 = 8
= (3 × 3 ) + 2 = 11
= (3 × 4 ) + 2 = 14
= ( 3 × 5 ) + 2 = 17
the terms are 5, 8, 11, 14, 17
these are the terms of an arithmetic sequence
sum to n terms is calculated using = [ 2a + (n-1)d]
where a is the first term and d the common difference
d = 8 - 5 = 11 - 8 = 14 - 11 = 3 and = 5
= [( 2 × 5) + (29 × 3) ]
= 15( 10 + 87) = 15 × 97 = 1455