The correct answer is option C which is
.
<h3>What is a matrix?</h3>
Matrix is defined as the arrangement of the numbers variables and expressions in the table as rows and columns.
The multiplication of the matrix will be calculated as:-
M = ![\dfrac{1}{2}\left[\begin{array}{cc}12&64&\\78&30&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cdfrac%7B1%7D%7B2%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D12%2664%26%5C%5C78%2630%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M = ![\left[\begin{array}{cc}\dfrac{12}{2}&\dfrac{64}{2}&\\\dfrac{78}{2}&\dfrac{30}{2}&\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Cdfrac%7B12%7D%7B2%7D%26%5Cdfrac%7B64%7D%7B2%7D%26%5C%5C%5Cdfrac%7B78%7D%7B2%7D%26%5Cdfrac%7B30%7D%7B2%7D%26%5C%5C%5Cend%7Barray%7D%5Cright%5D)
M =
.
Therefore the correct answer is option C which is
.
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Given:
Amplitude = 2
Midline = 5
Period of
.
To find:
The cosine function.
Solution:
The general cosine function is:
...(i)
Where, |A| is amplitude,
is period,
is phase shift and D is the mid line.
Period of function is
. So,



Substituting
in (i), we get


Therefore, the required cosine function is
.
Answer:
=3
Step-by-step explanation:
following the order of operations, whatever is in the parentheses gets done first. so you would add 13 + 2 and get 15. then you would subtract 9-4 and get 5. then you would divide the numbers that you got and get 3.
Answer: 0.7 m/s
Step-by-step explanation:
The problem gives you the distance and the ammout of time this distance was traveled in. so you divide the distiance by the time and it will give you the answer
Answer:
$2,833.47
Step-by-step explanation:
n = [lnA - lnP] / ln(1 + i)
n = [ln15000 - ln10000] / ln(1 + 0.03)
n = [9.6158 - 9.2103] / 0.0296
n = 13.70
13 years, 8 months and 12 Days
Part 2:
P = A / [(1 + i)n]
P = 15000 / [(1.03)4]
P = 15000 / 1.1255
P = $13,327.31
Part 3:
A = 10000 (1 + 0.04)5
A = $12,166.53
The amount of money you need to save to buy a car at $15,000 would be;
$15,000 - $12,166.53
=> $2,833.47