Based on the conditions given above, the number of bacteria at any time t (in hours) is calculated by the equation,
at = (a1)(2^t/2)
where a1 is the initial number of bacteria and at is the number at any time t. Substituting the givens,
a6 = (103)(2^6/2) = 824
Thus, there are 824 bacteria after 6 hours.
Mod 8, the sequence repeats after 12 terms:
1 3 4 7 3 2 5 7 4 3 7 2
Thus the 100th term, mod 8, will be the 4th term of this sequence: 7
The vector product of
and the magnitude of
is 
Further explanation:
Given:
Vector a is 
Vector b is 
Explanation:
The cross product of a \times b can be obtained as follows,

The vector can be expressed as follows,

The magnitude of
can be obtained as follows,
43404
The vector product of
and the magnitude of
is 
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Vectors
Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.
Answer:
1800
Step-by-step explanation:
Labor quantity variance= Actual quantity ×standard price - standard quantity ×standard price
Standard quantity=2×2600=5200
Labor quantity variance
5050×12-5200×12=1800