Answer:
20π or 62.8
Step-by-step explanation:
Volume of a cone = 1/3πr²h
1/3(π)(2)²9
= 12π or 37.7
Volume of a hemisphere = 2πr²/3
2(π)(2)²
= 8π or 25.1
Total Volume = 20π or 62.8
(1) For the parabola on the bottom row, the domain would be R and the range would be y ≥ -5
(2) For the hyperbola on the bottom row, the domain would be R\{3} (since there is an asymptote at x = 3) and the range would be R\{4} (since there is an asymptote at y = 4)
(3) For the square root function on the bottom row, the domain would be x ≥ -5 and the range would be (-∞, -2]
(4) For the function to the very right on the bottom row, the domain would be R and the range would be (-∞, -3]
Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: 
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:

Simplify:
18 - 14 = 4
1 - 0 = 1

The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
Answer:
10,93,500.
Step-by-step explanation:
On first February total number of rabbits were 500.
Now it is given that after each month rabbit population will become triple of initial.
So, after one month rabbits will become 3×500.
After two months they will become
×500.
Thus , after m months total number of rabbits will become
×500.
Now,
On August 1 , 7 months will get passed from February 1 so putting m = 7 in the equation we get ,
Total number of rabbits =
×500 = 10,93,500.
(1,-1)(2,2)
slope = (2 - (-1) / (2 - 1) = 3/1 = 3
y = mx + b
slope(m) = 3
use either of ur points...(2,2)...x = 2 and y = 2
now we sub and find b, the y int
2 = 3(2) + b
2 = 6 + b
2 - 6 = b
-4 = b
so ur equation is : y = 3x - 4