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Alex777 [14]
3 years ago
10

Work out (5.32 x 10^-7): (2.5 x 10^-5)Give your answer in standard form​

Mathematics
1 answer:
Mrrafil [7]3 years ago
8 0

Answer:

1.33×10^-6

Step-by-step explanation:

5.32 x 10^-7= 5.32×10^(-5-2)= 5.32×10^-2×10^(-5)

=0.0532×10^-5

(0.0532×10^-5) (2.5 x 10^-5)

0.0532×2.5 × 10^-5

0.133×10^-5= 1.33×10^-1 ×10^-5

1.33×10^-6

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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
PLEASE HELP ASAP!!!!!!!! NEED HELP ASAP!!!!!!!
bazaltina [42]

Answer:

x = 10

y = 14

Step-by-step explanation:

Here, we want to get the values of x and y

Since all sides are equal, the internal angle is 60 degrees for each internal angle

Since AC = 14

Then y is also 14 since what we have is an equilateral triangle

Secondly ;

6x = 60

x = 60/6

x = 10

4 0
3 years ago
Read 2 more answers
When written in simplest form the expression 5(3x + 2)+2(x-7) is?
Sophie [7]

Answer:

Option 1

Step-by-step explanation:

5(3x+2) + 2(x-7)

15x + 10 + 2x -14

15x + 2x + 10 - 14

17x - 4

6 0
2 years ago
One-hundred people were surveyed to find if they owned a cat
r-ruslan [8.4K]

Answer:

1. I dont know what format they want you to write it in but its 27/100 which is 0.27 as a decimal and 27% as a percent

2.  it'll be 11/100 which is 0.11 as a decimal and 11% as a percent

Step-by-step explanation:

Since adding up all the people with cats, dogs or both is 73, and theres 100 people surveyed, that means  100-73=27 so 27 people dont have a cat or dog. Therefore its 27/100 which is 0.27 as a decimal and 27% as a percent

For number 2, because 11 people have both a dog and cat I believe itll be 11/100 which is 0.11 as a decimal and 11% as a percent

4 0
3 years ago
Find the domain and range of the function below
natali 33 [55]
X is greater than or equal to 0
y is greater than or equal to 0
6 0
3 years ago
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