A student is jogging a rate of 2/3 of a mile in 2/5 of an hour
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ANSWER
The sphere is 10762 cubic centimeters bigger than the cube.
EXPLANATION
We want to find the difference in the volumes of the sphere and the cube.
To do this, we have to find the volumes of the sphere and cube and subtract that of the cube from the sphere.
The volume of a sphere is given as:
where r = radius
The radius of the sphere is 15 centimeters. Therefore, the volume of the sphere is:
The volume of a cube is given as:
where s = length of the side
The length of the side of the cube is 15 centimeters. Therefore, the volume of the cube is:
Therefore, the difference in the volumes of the sphere and cube is:
Therefore, the sphere is 10762 cubic centimeters bigger than the cube.
Answer:
<h2>y = -2x + -3</h2>Step-by-step explanation:
Slope-intercept form is y = mx + b
"m" is the slope, how steep the line is.
"b" is the y-intercept, where to graph hits the y-axis.
Check the scale for this grid. Since there are "1" written on the first box after the middle, <u>one square = one unit</u>.
To find "m", use between the two dotted points on the graph. The first point is always on the left.
<u>"Rise" means how many squares above</u> the first point the second point is.
Since the second point is below the first point, the number is negative.
<u>"Run" means how many squares to the right</u> the second point is.
To find "b", look at where the graph it touching the y-axis.
The y-axis is the vertical line (going from top to bottom).
Count the number of squares from the grid's middle to the graph line.
There are 3 squares.
Since the graph touches below the origin, this is a negative number.
b = -3
In the boxes, you put negative two (-2) and negative three (-3).
* Usually we would simplify the equation to y = -2x - 3.