ANSWER
The multiplication, CA is defined, and its dimension is 3×2
EXPLANATION
Matrix A is a 2x3 matrix.
Matrix C is a 3×2 matrix.
The product of the two matrices , CA, is defined if and only if the inner product of their dimension are the same.
The inner products are the same.
Hence the matrix multiplication, CA is defined and its dimension is the outer products.
Answer:
72
Step-by-step explanation:
Let the number of candies = n
Tracy ate = 1/3 of n = n/3 remaining 2n / 3
she gave 1/4 of the remainder to her friend = 1/4 of ( n - n/3) = 2n / 12
the new remainder = (2n / 3) - (2n / 12) = n /2
she and her mom then ate altogether = 30
and the brother took from 1 to five, the number he took = x
and she has 3 left
( n/2) - 30 - x = 3
n = 2 ( 33 + x)
now we know that the candies could not be broken and x is between 1 to 5
n = 2 (33 + 1), 2 (33+2), 2(33 +3), 2 (33+ 4) and 2 (33 + 5) this are the possible values of n, ( 68, 70, 72, 74, 76) and the multiple of 3 is 72
n therefore = 72
Answer:
24,150
Step-by-step explanation:
Given that :
Salary earned this year = 23,000
Percentage Raise in salary for the new year = 5%
The new yearly salary can be obtained thus ;
(100% + percentage raise in salary) * salary earned this year
(100% + 5%) * 23,000
105% * 23000
1.05 * 23000
24,150
Secant is the same as 1/cos so you can just write it as 1/2pi then you can put that into your calculator as 1/cos(2pi) and it equals 1.
The boat travels 501 miles in 3 weeks.
