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Illusion [34]
3 years ago
10

What is the ratio of the volume of Sphere A to the volume of Sphere B

Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:1

Step-by-step explanation:

To find the ratio of the volume of sphere A to B

We get

A:B

V=4/3πr^3:4/3πr^3

4/3πr^3×3/4πr^3

Ratio of A to B

=1

tia_tia [17]3 years ago
8 0

Answer: 27

Step-by-step explanation:

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If a bike is $125 how much will it be when its discounted by 20%
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That is 125 - 0.20 * 125

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If line d intersects plane F, then how many points on line d also lie on plane F?
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The Springer Dog Food Company makes dry dog food from two ingredients. The two ingredients (A and B) provide different amounts o
Nataly [62]

Answer:

a) Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) Attached

c) The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

Step-by-step explanation:

a) The LP formulation for this problem is:

Objective function (minimize cost):

C=0.50A+0.20B

Restrictions

Proteins per pound: 16A+8B\leq 12

Vitamins per pound: 4A+8B\leq 6

Non-negative values: A,B\geq0

b) The feasible region is attached.

c) We have 3 corner points. In one of them lies the optimal solution.

Corner A=0 B=0.75

C=0.50*0+0.20*0.75=0.15

Corner A=0.5 B=0.5

C=0.50*0.5+0.20*0.5=0.35

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution (minimum cost) is 0 pounds of ingredient A and 0.75 pounds of ingredient B. The cost is $0.15 per ration.

d) If the company requires only 5 units of vitamins per pound rather than 6, one of the restrictions change.

The feasible region changes two of its three corners:

Corner A=0 B=0.625

C=0.50*0+0.20*0.625=0.125

Corner A=0.583 B=0.333

C=0.50*0.583+0.20*0.333=0.358

Corner A=0.75 B=0

C=0.50*0.75+0.20*0=0.375

The optimum solution changes. The cost is now 0 pounds of ingredient A and 0.625 pounds of ingredient B. The cost is $0.125 per ration.

3 0
3 years ago
Help me with my math please​
sergij07 [2.7K]

Step-by-step explanation:

1 _21:00_ , _22:10_, 1:10

2. 1:20

3. 18:00

4. 21:35

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2 years ago
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