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BabaBlast [244]
2 years ago
15

Factor: 128 + 2d^3 cubes lol

Mathematics
1 answer:
BARSIC [14]2 years ago
4 0

The factorization if the given expression 128 + 2d³ is 2(64 + d³).

<h3>Factorization</h3>

128 + 2d³

There are two parameters in the expression;

  • 128
  • 2d³

The common factors between 128 and 2d³ is 2

So,

128 + 2d³

= 2(64 + d³)

Learn more about factorization:

brainly.com/question/25829061

#SPJ1

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aleksley [76]

Answer:

3/9

Step-by-step explanation:

15*4= 60 so 15/60 is equivalent to 1/4.

1/16 is just a smaller equivalent of 2/8 which is just a smaller equivaent of 1/4.

3/9 simplified is 1/3. I/s is bigger than 1/4.

Hope this helps

8 0
2 years ago
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Put the following equation of a line into slope-intercept form, simplifying all fractions. 3x + 6y = 42​
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Y = 1/2 +7
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Three percent of the caterpillars metamorphosed into butterflies. If Ramona could count 120 butterflies, how many caterpillars h
Harman [31]
The answer to your problem would be 400 because to find the answer you need to multiply 120 by .3 to get the answer because 3 % means per 100 and that is why you make it .3 hope i help.
3 0
2 years ago
Southern Oil Company produces two grades of gasoline: regular and premium. The profit contributions are $0.30 per gallon for reg
Contact [7]

Answer:

a) MAX--> PC (R,P) = 0,3R+ 0,5P

b) <u>Optimal solution</u>: 40.000 units of R and 10.000 of PC = $17.000

c) <u>Slack variables</u>: S3=1000, is the unattended demand of P, the others are 0, that means the restrictions are at the limit.

d) <u>Binding Constaints</u>:

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

Step-by-step explanation:

I will solve it using the graphic method:

First, we have to define the variables:

R : Regular Gasoline

P: Premium Gasoline

We also call:

PC: Profit contributions

A: Grade A crude oil

• R--> PC: $0,3 --> 0,3 A

• P--> PC: $0,5 --> 0,6 A

So the ecuation to maximize is:

MAX--> PC (R,P) = 0,3R+ 0,5P

The restrictions would be:

1. 18.000 A availabe (R=0,3 A ; P 0,6 A)

2. 50.000 capacity

3. Demand of P: No more than 20.000

4. Both P and R 0 or more.

Translated to formulas:

Answer d)

1. 0.3 R+0.6 P ≤ 18.000

2. R+P ≤ 50.000

3. P ≤ 20.000

4. R ≥ 0

5. P ≥ 0

To know the optimal solution it is better to graph all the restrictions, once you have the graphic, the theory says that the solution is on one of the vertices.

So we define the vertices: (you can see on the graphic, or calculate them with the intersection of the ecuations)

V:(R;P)

• V1: (0;0)

• V2: (0; 20.000)

• V3: (20.000;20.000)

• V4: (40.000; 10.000)

• V5:(50.000;0)

We check each one in the profit ecuation:

MAX--> PC (R,P) = 0,3R+ 0,5P

• V1: 0

• V2: 10.000

• V3: 16.000

• V4: 17.000

• V5: 15.000

As we can see, the optimal solution is  

V4: 40.000 units of regular and 10.000 of premium.

To have the slack variables you have to check in each restriction how much you have to add (or substract) to get to de exact (=) result.  

3 0
3 years ago
What property is illustrated by the statement? 0 + x = x A. Inverse Property of Multiplication B. Commutative Property of Additi
Firlakuza [10]
<h2>Answer:</h2>

Option: D is the correct answer.

The property which is illustrated by the given statement is:

              D. Identity Property of Addition

<h2>Step-by-step explanation:</h2>

We know that an identity is a value which when added to any element of the set gives the resultant as the element itself.

Also, we know that the identity under addition is always: zero.

Because when zero is added to any number then the resultant is the number itself i.e. adding zero does not affect the value.

Hence, by the Identity Property of Addition we have:

                              0 + x = x  

7 0
3 years ago
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