The last pair.
Because 2*4/3*4=8/12
The time spent by the repairman there will be 3 hours so the correct answer is option D.
<h3>What is an expression?</h3>
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
A roof repairman charges a $60 consult fee, and then $45 per hour to complete repairs. if the homeowner pays a total of $195.
The time will be calculated as:-
Total amount = $195
Now the fixed consulting cost will be $60 and will be deducted from the
total amount.
Variable cost = 195 - 60 = 135
The $45 per hour charge so for $145 the time will be:-
Time = 135 / 45
Time = 3 Hours
Therefore the time spent by the repairman there will be 3 hours so the correct answer is option D.
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Answer:
D. 180 degres
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
It is given that the sum of first two terms of an infinite GP is 6.
nth term of a GP is
...(1)
Each term is 5 times the sum of the succeeding terms.
Divide both sides by a.
The common ratio is 1/6.
Put r=1/6 in (1).
Second term
Therefore, the second term is
.
Answer:
![X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7BBmatrix%7D2%26%201%20%2610%20%5C%5C-3%20%26%205%20%26%204%5Cend%7BBmatrix%7D)
Step-by-step explanation:
From the question we are told that
Matrix is given as ![A=\begin{Bmatrix}2 & -1 & 10\\-3 & 8 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=A%3D%5Cbegin%7BBmatrix%7D2%20%26%20-1%20%26%2010%5C%5C-3%20%26%208%20%26%204%5Cend%7BBmatrix%7D)
Generally let the change in matrix be given as X
![X_1_2 = 2*(-(-1)) + - 1 = 1X_2_2 = -3 * (-(-1))+ 8 = 5](https://tex.z-dn.net/?f=X_1_2%20%3D%202%2A%28-%28-1%29%29%20%2B%20-%201%20%3D%201X_2_2%20%3D%20-3%20%2A%20%28-%28-1%29%29%2B%208%20%3D%205)
Matlab output
![A=[2 -1 10;-3 8 4]\\a=(A(1,1)*-A(1,2))+A(1,2)\\b=(A(2,1)*-A(1,2))+A(2,2)\\X=[A(1,1) a A(1,3); A(2,1) b A(2,3)]\\](https://tex.z-dn.net/?f=A%3D%5B2%20-1%2010%3B-3%208%204%5D%5C%5Ca%3D%28A%281%2C1%29%2A-A%281%2C2%29%29%2BA%281%2C2%29%5C%5Cb%3D%28A%282%2C1%29%2A-A%281%2C2%29%29%2BA%282%2C2%29%5C%5CX%3D%5BA%281%2C1%29%20a%20A%281%2C3%29%3B%20A%282%2C1%29%20b%20A%282%2C3%29%5D%5C%5C)
Generally the matrix that makes row 2 of matrix A equal to first row of A multiplied by the negative of the first element of row 2 plus the original row is
![X=\begin{Bmatrix}2& 1 &10 \\-3 & 5 & 4\end{Bmatrix}](https://tex.z-dn.net/?f=X%3D%5Cbegin%7BBmatrix%7D2%26%201%20%2610%20%5C%5C-3%20%26%205%20%26%204%5Cend%7BBmatrix%7D)