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3 years ago

Could someone please explain this to me I’m new to this topic.

Mathematics

1 answer:

algol133 years ago

5 0

Essentially, you’re solving/isolating the variable you want to be the subject. So, since we want x as the subject, we’ll solve for x.
For example. let’s take the first one. We want to make x the subject. So, we’ll solve for x.
x+h=4
Subtract h from both sides
x+h-h=4-h
The h’s cancel on the left side, so we’re left with only an h on the other side.
x=4-h
The variable x is now the subject, as the equation is arranged so that the variable x equals something.

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4 years ago

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2 years ago

The area of Australia is approximately 7.7 x 10^6 km. If it were to be divided into states of about 1.54 x 10^6 km, how many sta

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3 years ago

. In the design of an electromechanical product, 12 components are to be stacked into a cylindrical casing in a manner that mini

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Answer:

(a) 479,001,600 combinations (b) 95,040 combinations (c) 3,326,400 combinations

Step-by-step explanation:

(a) In the case we have 12 different elements to stack, the possible combinations can be calculated as a premutation of 12 elements:

P = 12! = 479,001,600 combinations

(b) If seven components are identical, we have a permutation with repetition.

We have 7!=5040 combinations that are the same, so there is only one unique out of 5040 combinations. We have to divide the total possible combinations by 5040.

P = 12! / 7! = 479,001,600 / 5,040 = 95,040 combinations

(c) In the same way, if we have 3 components of Type 1 and 4 components of Type 2 (and the others all different), we have 3!*4! = 144 combinations that are the same.

P = 12!/(3!*4!) = 479,001,600 / 144 = 3,326,400 combinations

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4 years ago