<span>We have to find the volume of the sphere that has a radius of 9.6 m. The formula for the volume of the sphere is: V = 4/3 r^3 Pi. ( r = 9.6 m, Pi = 3.14 ) V = 4/3 * 9.6^3 * 3.14; V = 4/3 * 884.736 * 3.14; V = 3,705.97349m^3 ( when the number Pi is more accurate ). Answer: The exact volume of the sphere is 3,704.97349 m^3.</span>
2 greens
1 black 1 green
2 blacks
Hope this helps ;p have a nice day!
~pam
Answer:
Slope is defined as rise over run, which can be expressed as the difference of the y-coordinates divided by the difference of the x-coordinates. If we rise, we are moving vertically, or along the y-axis. If we run, we are moving horizontally, or along the x-axis.
The formula for the slope m of a line given two points (x1, y1) and (x2, y2) that lie on the line is:
m = (y2 - y1)/(x2 - x1)
m = (15 - 5)/(-6 - 4)
m= 10/-10
m = -1
Now, we can use the slope-intercept form of the equation of a line to obtain the equation of the line that satisfies the conditions outlined in the problem. Slope-intercept form is:
y = mx + b
Again, m represents the slope, while b stands for the y-intercept. We can use either point on the line to represent x and y. Let's choose the point (4, 5)
5 = -1(4) + b
5 = -4 + b
9 = b
The equation of the line is:
y = -x + 9
Answer:
1. (2x^2+x-1)
Step-by-step explanation:
expanding (2x^2-1)^2. multiplying (x-2) (1-2x)
= 4x^2-4x+1. = x-2x^2-2+4x
= -2x^2+5x-2
(4x^2-4x+1-2x^2+5x-2)
=2x^2+x-1
Step-by-step explanation:
Step one:
given
current (older) fridge
electricity charges= $17 monthly
maintenance costs= $220
let the number of months be x
and the total cost be yo
the expression for the cost for the old fridge is
yo=220+17x---------1
New fridge
electricity charges= $6 monthly
costs= $1,050
let the number of months be x
and the total cost be yn
the expression for the cost for the old fridge is
yn= 1050+6x---------2
Hence the system of equation for the situation is
yo=220+17x---------1
yn= 1050+6x---------2
Step two
for 10 years there are 12*10= 120 months
put x= 120 in both expressions and compare the total
yo=220+17(120)---------1
yo=220+2040
yo=$2,260
yn= 1050+6(120)---------2
yn=1050+720
yn=$1770
<u><em>Based on the analysis it will be less expensive to get the new fridge, hence buying the new fridge is worth it.</em></u>
