Answer: 320 g
Step-by-step explanation:
We can set up a ratio.
Let the amount of oats equal to x.
18/240 = 24/x
We can now cross multiply.
18x = 5760.
x = 320 g
3/12 ; 1/6 ; 1/3
Adam must first get the least common multiple of each denominator.
12 : 12, 24, 36
6 : 6, 12, 18
3 : 3, 6, 9, 12
12 is the least common denominator.
We, then, multiply each denominator by a number that will produce 12.
12 x 1 = 12
6 x 2 = 12
3 x 4 = 12
Each number multiplied to the denominator must be the number used to multiply each numerator.
3/12 * 1/1 = 3/12
1/6 * 2/2 = 2/12
1/3 * 4/4 = 4/12
Since they now share a common denominator, the numerator will become the basis of the fraction's value. The greater the numerator, the greater the fraction's value.
Fractions in order from least to greatest = 2/12 ; 3/12 ; 4/12
Substitute each fraction with its original fraction:
2/12 ⇒ 1/6 : least
3/12 ⇒ 3/12 : middle
4/12 ⇒ 1/3 : greatest
At least 4 means its minimum value is 4 so n≥4
I assume the question is multiply to -50 and add to +5... If so, the answer is +10 and -5. 10 (-5) = -50 .... and 10 + (-5) = +5
Answer:
A) ![\left[\begin{array}{cc}0&-1\\1&0\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D0%26-1%5C%5C1%260%5Cend%7Barray%7D%5Cright%5D)
Step-by-step explanation:
The rotation matrix for a clockwise rotation through angle θ is given by ...
![M=\left[\begin{array}{cc}\cos{(\theta)}&-\sin{(\theta)}\\\sin{(\theta)}&\cos{(\theta)}\end{array}\right]](https://tex.z-dn.net/?f=M%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%5Ccos%7B%28%5Ctheta%29%7D%26-%5Csin%7B%28%5Ctheta%29%7D%5C%5C%5Csin%7B%28%5Ctheta%29%7D%26%5Ccos%7B%28%5Ctheta%29%7D%5Cend%7Barray%7D%5Cright%5D)
When θ = 90°, the matrix becomes the one in choice A).
