Answer:
you must multiply the numerator and denominator by 6
Step-by-step explanation:
because 5 x 6 = 30
Answer: a)
<u>Step-by-step explanation:</u>
Matrix multiplication is the sum of Row 1 (of first matrix) x Column 1 (of second matrix) ...repeat for each row.
Transpose means to switch the rows to columns.
![A=\left[\begin{array}{cc}5&2\\3&-1\end{array}\right] \qquad \times \qquad A^T=\left[\begin{array}{cc}5&3\\2&-1\end{array}\right] \\\\\\= \left[\begin{array}{cc}5(5)+2(2)&5(3)+2(-1)\\3(5)+(-1)(2)&3(3)+(-1)(-1)\end{array}\right] \\\\\\= \left[\begin{array}{cc}29&13\\13&10\end{array}\right]](https://tex.z-dn.net/?f=A%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%262%5C%5C3%26-1%5Cend%7Barray%7D%5Cright%5D%20%5Cqquad%20%5Ctimes%20%5Cqquad%20A%5ET%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%263%5C%5C2%26-1%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D5%285%29%2B2%282%29%265%283%29%2B2%28-1%29%5C%5C3%285%29%2B%28-1%29%282%29%263%283%29%2B%28-1%29%28-1%29%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5C%5C%3D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D29%2613%5C%5C13%2610%5Cend%7Barray%7D%5Cright%5D)
Answer: +7
Step-by-step explanation: Since a negative divided
by a negative always equals a positive, (-28) ÷ (-4) = +7
Answer:
4
Step-by-step explanation:
This situation has two unknowns - the total number of half dollars and the total number of quarters. Because we have two unknowns, we will write a system of equations with two equations using the two unknowns.
- h+q=31 is an equation representing the total number of coins
- 0.50h+0.25q=11 is an equation representing the total value in money based on the number of coin. 0.50 and 0.25 come from the value of a half dollar and quarter individually.
We write the first equation in terms of q by subtracting it across the equal sign to get h=31-q. We now substitute this for h in the second equation.
0.50(31-q)+0.25q=11
15.5-0.50q+0.25q=11
15.5-0.25q=11
After simplifying, we subtract 15.5 across and divide by the coefficient of q.
-0.25q=-4.5
q=4
We now know of the 31 coins that 4 are quarters.
Answer:
The number of Bactria after 5.8 hours is 12242.
Step-by-step explanation:
The number of bacteria in a refrigerated food product is given by
where, T is the temperature of the food.
When the food is removed from the refrigerator, then the temperature is given by
We need to find the composite function N(T(t)).
where N(T(t)) is the number of bacteria after t hours.
Substitute t=5.8 in the above function.
Therefore, the number of Bactria after 5.8 hours is 12242.
