Answer:
the square root of 306 is
17.49
Answer: 2,215,000
Step-by-step explanation:
Given: The quadratic function
models the population of a city where x represents the number of years since 2005.
To Find: population of the city in 2010
We need to put x= 2010-2005 = 5

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .
Answer:
304
Step-by-step explanation:
find the area of each side, then add together
top and bottom are 10*8= 80 80*2= 160
front and back are 10*4=40 40*2=80
left and right sides are 8*4=32 32*2=64
160+80+64=304
Volume of Solids
The volume of the solid is 758.83 in³
Step-by-step explanation:
Given that the cone and half sphere is hollow
The volume of the cone =
The Volume of the sphere = 
So the Volume of the half sphere =
The volume of solid = volume of cone + volume of the half sphere

Given
height h = 19 in
radius r = 5 in
= 
= 1/3 × 3.14 × 5 × 5 × 19
= 497.16 in³

= 2/3 × 3.14 × 5 × 5 × 5
= 261.67 in³
V = 497.16 in³ + 261.67 in³
= 758.83 in³
Hence the volume of the solid is 758.83 in³
Answer:
y = -4x - 6
Step-by-step explanation:
The equation of a line in point-slope form.

is the equation of the line containing point (x1, y1) and having slope, m.
The given point of the perpendicular bisector is (-1, -2), so in this case, x1 = -1, and y1 = -2.
We need the slope of the perpendicular bisector. First we find the slope of the segment. We start at point (-5, -3). We go up 1 unit and 4 units to the right, and we are at another point on the segment. Since slope = rise/run, the slope of the segment is 1/4. The slopes of perpendicular lines are negative reciprocals, so the slope of the perpendicular bisector is the negative reciprocal of 1/4, so for the perpendicular bisector, m = -4.
Now we use the equation above and our values.




