Mass of 1 sheet = (160 g/m^2)*(1/8 m^2) = 160/8 g = 20 g
mass of 25 sheets = (25 sheets)*(20 g/sheet) = 25*20 g = 500 g
Answer:
D .For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams.
Step-by-step explanation:
The given regression equation is
Predicted y = 78.5 – 1.8x where, y = mass of a bar of soap in grams and x = number of days soap has been used.
Here, slope=b=-1.8.
Slope depicts the unit increase in predicted variable due to change in independent variable.
The given slope -1.8 shows that due to change in number of days soap is used the predicted mass of the soap decreases by 1.8 units. So, we can say that "For every day the soap is used, the predicted mass of the soap will decrease by 1.8 grams".
To solve for the value of y, all you have to do is add up all the expressions and values together and make it equal to 180 degrees.
Y + (Y - 12) + 56 = 180
2Y - 12 + 56 = 180
2Y + 44 = 180
Y = 68 degrees.
Given:
The point is (-8,3).
To find:
The image of the given point after a rotation of 270 degrees counterclockwise about the origin.
Solution:
If a point is rotated 270 degrees counterclockwise about the origin, then the rule of rotation is:

Using this rule, we get


Therefore, the image of the given point after a rotation of 270 degrees counterclockwise about the origin is (3,8).