Answer:
The amount of yarn changes at 0.5 yards per hour.
Step-by-step explanation:
Since Kendra knits hats, and she starts with 3 3/4 yards of yarn, but after knitting for 5 1/4 hours, there is 1 1/8 yards of yarn left, to determine at what rate does the amount of yarn change the following calculation must be performed:
3/4 = 0.75
1/4 = 0.25
1/8 = 0.125
3.75 - 1.125 = 2.625
2.625 / 5.25 = 0.5
Thus, the amount of yarn changes at 0.5 yards per hour.
Answer:
- 48
Step-by-step explanation:
by PEDMAS, we evaluate the exponent first before the multiplication
(-12)·(-2)²
= (-12)·(4)
= - 48
Answer:
C.
Step-by-step explanation:
The diameter is the line across the center of the circle
Answer:
25% increase
Step-by-step explanation:
final value (20) -minus- starting value (16)
-------------------divided by ---------------- times * 100
starting value (20)
4
--- x 100
20
25%
Answer:
Matrix transformation = ![\left[\begin{array}{ccc}-1&0\\0&1\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D)
Vertices of the new image: P'= (5,-2), Q'= (6,-3), R'= (2,-3)
Step-by-step explanation:
Transformation by reflection will produce a new congruent object in different coordinate. Reflection to y-axis made by multiplying the x coordinate with -1 and keep the y coordinate unchanged. The matrix transformation for reflection across y-axis should be: .
To find the coordinate of the vertices after transformation, you have to multiply the vertices with the matrix. The calculation of the each vertice will be:
P'= ![\left[\begin{array}{ccc}-5\\-2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-5%5C%5C-2%5Cend%7Barray%7D%5Cright%5D)
= (5,-2)
Q'= ![\left[\begin{array}{ccc}-6\\-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-6%5C%5C-3%5Cend%7Barray%7D%5Cright%5D)
= (6,-3)
R'= ![\left[\begin{array}{ccc}-2\\-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-2%5C%5C-3%5Cend%7Barray%7D%5Cright%5D)
= (2,-3)
