Let a be directly proportional to m and n^2, and inversely proportional to y^3. if a=4 when m=9, n=4, and y=2, find a when m=7, n=3, and y=5.

a=? (type an integer or a simplified fraction.)

4

Step-by-step explanation:

Step 1

Let a be directly proportional to m and n^2

a m(n)²

a = km(n)²

Step 2

Let a be inversely proportional to y^3

a

a =

Step 3

Plug values in the equation to find k

4 = k (9)(4)²/2³

4 = k 144 / 8

4 = 18k

k = 4/18

k = 2/9

Step 4

find a

a = (2/9)(9)(4)²/2³

  = 32 / 8

  = 4

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this