Answer:
1974 mm^3
Step-by-step explanation:
The formula to find the volume of a rectangular prism/cuboid: l x w x h, where l is the length, w is the width and h is the height.
1) Input the values into the formula and solve it.
= 47 x 14 x 3
= 1974 mm^3
The formula for area of a trapezoid is: 1/2 (b1+b2) h
b1=10
b2=10·2=20 because it stated the side parallel is twice as long as the side above
h=10/2=5 because the height is half as long as the give side length
area of the trapezoid is: 1/2 (10+20) 5
(5·10)·5
50·5
area of the trapezoid is 250 in²
First, simplify the expression of the function
highlighting the perfect square:

Then find the vertwx of parabola. When x=2, f(2)=2 and the coordinates of the vertex are (2,2). The axis of symmetry passes through the vertex and is parallel to the y-axis. Therefore, its equation is x=2 (see attached graph for details).
Answer: x=2.
Answer:
In the beginning, there is 60 L of water in the bathtub. The water drains out from the bathtub at 2.5 L per minute. How many minutes does it take until all of the water is drained out?
Zero of the function: (24, 0)
The value 24 min represents the number of minutes it takes for the water to completely drain out from the bathtub.
Step-by-step explanation:
Zero of the function is when y=0
0 = 60 -2.5 x
x = 24
The formula for slope is
Slope = Rise / Run = Risers / Treads
Slope = 7.75 in /10 in = 0.775
The slope Is 0.775.
The vertical distance is not continuous, thus it is
discrete. A discrete function only allows certain points in the interval. When
you walk up or down the stairs, the vertical distances are not continuous
because of the treads. You cannot stay also mid-air, so it should be discrete.
An example of a continuous function would be when you walk up or down an
inclined plane.