Answer:
94
Step-by-step explanation:
Average = Total / Number of Data

You have a total of 280 points after 4 quizzes.
4+4=8 quizzes in total
Total you need for average to be 82

Number of points you need to hit required:

You need 376 points in total for the next 4 quizzes.

You need an average of 94 points on the next 4 quizzes.
Answer:
The correct option is (A).
Step-by-step explanation:
If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.
![\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccc%7D1%260%260%260%5C%5C0%261%260%260%5C%5C0%260%261%260%5C%5C0%260%260%261%5Cend%7Barray%7D%5Cright%5D)
Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:
![\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccccc%7D1%260%260%260%26a%5C%5C0%261%260%260%26b%5C%5C0%260%261%260%26c%5C%5C0%260%260%261%26d%5Cend%7Barray%7D%5Cright%5D)
Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.
Thus, the correct option is (A).
price of 3Step-by-step explanation:
Answer:
D, E &F
Step-by-step explanation:
Lets's go down the list and evaluate each choice
A. (3^8) / (3^4) = 3^ (8-4) = 3^4 (≠ 3^2)
B. 6²/2 = (2 x 3)²/2 = (2²·3²)/2 = 4·3²/2 = 2.3² (≠ 3^2)
C. (3^5) ·(3^3) = 3^ (5+3) = 3^8 (≠ 3^2)
D 3·3 = 3^2 (Answer)
E. (3^12) / (3^10) = 3^ (12 -10) = 3^2 (Answer)
F. (3^-3) / (3^-5) = 3^ [ -3 -(-5) ] = 3^ (-3 + 5) = 3^2 (Answer)
Answer:
Kirasent 16 and Ryan sent 96
Step-by-step explanation:
I got this because Kira is x-8 and Ryan is 4x. 4x-x-8=112 is equal to 5x=120. So x=24.Kira has 16 when plugging in x and Ryan has 96 because 4 times 24 is 96.