<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>
Answer:
Infinitely many solutions
Step-by-step explanation:
2y=14-2x
y=-x+7
------------
2(-x+7)=14-2x
-2x+14=14-2x
-2x-(-2x)=14-14
-2x+2x=0
0=0
infinitely many solutions
2 ways to find the y int.
(1) put the equation in y = mx + b form and the y int will be in the b position
7x - 3y = -5
-3y = -7x - 5
y = 7/3x + 5/3....so 5/3 is ur y int
(2) another way is to sub in 0 for x and solve for y
7(0) - 3y = -5
-3y = -5
y = -5/-3
y = 5/3...ur y int
PART A
The geometric sequence is defined by the equation

To find the first three terms, we put n=1,2,3
When n=1,



When n=2,



When n=3



The first three terms are,

PART B
The common ratio can be found using any two consecutive terms.
The common ratio is given by,



PART C
To find

We substitute n=11 into the equation of the geometric sequence.

This implies that,


Answer:
B) 8
Step-by-step explanation:
Triangles MNC and RSC are similar because all 3 angles are the same, so the the ratio between each side should be the same.
If NC=12 and SC=6 then triangle MNC is scaled up by 2 from triangle RSC. This means each side of MNC is 2 times bigger than on RSC. So, sense RS=4, we can multiply that by 2 to get MN=8.