Me asap : d!
ki’von has a sink that is shaped like a half-sphere. the sink has a diameter of 20 inches. one day, his sink clogged. he has to use one of two different cups to scoop the water out of the sink. the sink is completely full when ki’von begins scooping.
(a) what is the exact volume of the sink? show your work. (3 points)
(b) one conical cup has a diameter of 8 in. and a height of 6 in. how many cups of water must ki’von scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work. (6 points)
(c) one cylindrical cup has a diameter of 4 in. and a height of 6 in. how many cups of water must he scoop out of the sink with this cup to empty it? round the number of scoops to the nearest whole number. show your work. (6 points)

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!

investment b is an ordinary annuity with $3,909.64 in the account after one year.

step-by-step explanation: