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
Danny's score at the end of the game is 30 because:
We started our with 10 points.
He loses 20 points, which brings him down to -10 points.
In the final round he earned 40 points. 40 minus the negative ten points gives us an answer of 30 points.
Answer:
-2
Step-by-step explanation:
because we can solve and get answer
Answer:
a) m = -6/5
b) m = -5/6
Step-by-step explanation:
The slopes of parallel lines are the same. The parallel line will have a slope equal to that of the line it is parallel to, -6/5.
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The slopes of perpendicular lines are the opposite of the reciprocal of one another. The perpendicular line will have a slope that is the negative reciprocal of the slope of the one it is perpendicular to: -1/m = -1/(6/5) = -5/6.
Answer:
- -2^x
- (1/3)^x +5
- 3^(x +2) -3
- (1/2)^x -2
- 4^(x/3)
- 2^(x -3) +4
Step-by-step explanation:
In general, the transformation ...
g(x) = f(x -h) +k
translates f(x) right h units and up k units.
The transformation ...
g(x) = f(x/a)
stretches the graph horizontally by a factor of "a".
The transformation ...
g(x) = -f(x)
causes the graph to be reflected over the x-axis.
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Applying the above, we have ...
f(x) = 2^x reflected over x is g(x) = -2^x
f(x) = (1/3)^x translated up 5 is g(x) = (1/3)^x +5
f(x) = 3^x translated by (-2, -3) is g(x) = 3^(x +2) -3
f(x) = (1/2)^x translated down 2 is g(x) = (1/2)^x -2
f(x) = 4^x stretched horizontally by a factor of 3 is g(x) = 4^(x/3)
f(x) = 2^x translated by (3, 4) is g(x) = 2^(x -3) +4
