1/10 of 32 million is 3.2 million.
Because
1/10 x 32,000,000 = 3,200,000
1 km = 0.621371 miles
5 km = 5 x 0.621371 = 3.106855 miles
1 mile = 5,280 feet
3.106855 miles x 5,280 = 16,404.1944 feet
1 foot = 12 inches
16,404.1944 feet x 12 = 196,850.3328 inches
Answer: A) Greater than
The equation y = 2x+5 has a greater rate of change compared to the table.
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Pick any two points from the table. I'm going to pick the first two rows so I picked (-1,0) and (2,3) as the two points. From here, the idea is to use the slope formula
m = (y2 - y1)/(x2 - x1)
m = (3-0)/(2 - (-1))
m = (3 - 0)/(2 + 1)
m = 3/3
m = 1
The slope of the line going through all of the points shown in the table is m = 1. So the rate of change for the table is also 1.
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The slope of y = 2x+5 is m = 2. The equation y = 2x+5 is in the form y = mx+b. So the rate of change for y = 2x+5 is 2.
Comparing the table's rate of change to the equation's rate of change, we see that the equation's rate of change is larger.
19% is 0.19. 0.19 x 90 is 17.1. Clarence saved $17.1
Answer:
Dh/dt = 1.273 ft/min
Step-by-step explanation:
Volume of cone V = 1/3 * π *r² * h
Then
DV/dt = 1/3* π *r² * Dh/dt (1)
We have to find out values of r when h = 5
By symmetry in a cone (we have proportion between h and r
when h = 10 ft r = 3 ft from problem statement
Then h = 5 ft r = 1.5 ft
That is from proportion 3/10 = X/5
Then by subtitution in (1)
DV/dt = 3 ft³/min r = 1,5 ft
3 = 1/3*π*(1.5)²* Dh/dt
3 = 2.355 Dh/dt
Dh/dt = 1.273 ft/min