Answer:
Arithmetic
An = A[n - 1] + 3/5
An = 3/5[n]
Step-by-step explanation:
Number of days = 5
Number of chocolate = 3
Computation:
Recursive:
Number of chocolate eat per day = 3/5
So,
First term a1 = 3/5
So,
An = A[n - 1] + 3/5
Explicit:
An = 3/5 + 3/5[n-1]
An = 3/5[n]
(1) Repetition allowed : There are 4 choices for both positions, so 4 × 4 = 16 2-digit numbers can be formed. (2) Repetition not allowed : There are 4 options for tens position, and three options for ones position. Therefore, 4 × 3 = 12 2-digit numbers can be formed.
Step-by-step answer:
Referring to the attached diagram, the resultant of two forces each with magnitude F and inclined to each other at 2a equals
Ra = 2Fcos(a) ..............................(1)
Similarly, the resultant of two forces each with magnitude F and inclined to each other at 2b equals
Rb = 2Fcos(b)..............................(2)
We are given that
Ra = 2Rb ....................................(3)
Substitute (1) & (2) in (3) gives
2Fcos(a) = 2(2Fcos(b))
Expand
2Fcos(a) = 4Fcos(b)
Simplify
cos(a) = 2 cos(b) QED
Note: Please note that you might have a faster response if you posted this question in the physics or the (new) Engineering section.
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Volume of large prism: 8 x 4 x 2 1/4 = 72 cubic inches
volume of small prism: 1/4 ^3 = 0.15625 cubic inches
72 / 0.15625 = 4,608 cubes
Answer:
3 letters can be arranged in 26*25*24 = 15600 ways
3 digits can be arranged in 10 * 9 * 8 = 720 ways
So the total number is 15600 * 720 = 11,232,000
So I agree with the number that you obtained