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mojhsa [17]
3 years ago
9

Find the volume of the sphere

Mathematics
2 answers:
SpyIntel [72]3 years ago
8 0
The volume of a sphere is
(4/3)πr²
Radius is 9
(4/3)π9²
= 339.12 units³
ioda3 years ago
5 0

Volume of a sphere of radius r is

V = (4/3)πr³

r = 9

V = (4/3)π(9³) = 12(9²)π = 972 π

Answer : 972π cubic units

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Better Products, Inc., manufactures three products on two machines. In a typical week, 40 hours are available on each machine. T
Kaylis [27]

Answer:

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

Step-by-step explanation:

                                Profit $    mach. 1      mach. 2

Product 1     ( x₁ )       30             0.5              1

Product 2    ( x₂ )       50             2                  1

Product 3    ( x₃ )       20             0.75             0.5

Machinne 1 require  2 operators

Machine   2 require  1  operator

Amaximum of  100 hours of labor available

Then Objective Function:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Constraints:

1.-Machine 1 hours available  40

In machine 1    L-H  we will need

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

2.-Machine 2   hours available  40

1*x₁  +  1*x₂   + 0.5*x₃   ≤  40

3.-Labor-hours available   100

Machine 1     2*( 0.5*x₁ +  2*x₂  +  0.75*x₃ )

Machine  2       x₁   +   x₂   +  0.5*x₃  

Total labor-hours   :  

2*x₁  +  5*x₂  +  2*x₃  ≤  100

4.- Production requirement:

x₁  ≤  0.5 *( x₁ +  x₂  +  x₃ )     or   0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

5.-Production requirement:

x₃  ≥  0,2 * ( x₁  +  x₂   +  x₃ )  or    -0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

General constraints:

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

The model is:

z  =  30*x₁  +  50*x₂  +  20*x₃      to maximize

Subject to:

0.5*x₁  +  2*x₂  + 0.75*x₃  ≤  40

1*x₁  +  1*x₂   + 0.5*x₃       ≤  40

2*x₁  +  5*x₂  +  2*x₃        ≤  100

0.5*x₁  -  0.5*x₂  -  0.5*x₃  ≤ 0

-0.2*x₁  - 0.2*x₂ + 0.8*x₃   ≥  0

x₁  ≥   0       x₂    ≥   0       x₃     ≥   0           all integers

After 6 iterations with the help of the on-line solver AtomZmaths we find

z (max)  =  1250 $

x₁  = 25    x₂  =  0   x₃  =  25

6 0
3 years ago
Brooke and Kaden each sold 15 boxes of cookies for $2.25 per box. How much
Sphinxa [80]

Answer:

They sold 67.50 in total

Step-by-step explanation:

If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50

8 0
2 years ago
a local hamburger shop sold a combined total of 628 hamburgers and cheeseburgers on Wednesday. There were 72 fewer cheeseburger
defon
There were 386 hamburger sold
7 0
3 years ago
Please i know people find this stuff easy but i dont i need to find the SSS SAS AAS or HL
BaLLatris [955]

Answer:omh

Step-by-step explanation:

8 0
3 years ago
Please help me with this.
lesya [120]

Answer:

v=8

Step-by-step explanation:

12=12+v−8/2

12=12+1/2

v+−4(Distribute)

12=(1/2v)+(12+−4)(Combine Like Terms)

12=1/2v+8

Step 2: Flip the equation.

1/2v+8=12

Step 3: Subtract 8 from both sides.

1/2v+8−8=12−8

Step 4: Multiply both sides by 2.

2*(1/2v)=(2)*(4)

v=8

8 0
3 years ago
Read 2 more answers
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