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What is the difference between M1 and M2?
What is the difference between M1 and M2?
What does M square equal to?
M2
-the sum of one number and four times another number is 64 Find the value of the numbers so that their product is a maximum?
The numbers are 8 and 32 and the max product is 256.Let one number be mLet the other be nWe have m + 4n = 64So 4n = 64 - mor n = 16- m/4We want mn = m(16 - m/4) to be a max value.That is to say the product of these two numbers equals -(1/4)m2 + 16m.Now depending on you level of math there are many ways to do this.If you know calculus, you can take the derivative of f(m)= -(1/4)m2 + 16mand you find it as -(1/2)m + 16.Now you would set that equal to zero which will indicates m = 32.So you have:-(1/2)m + 16 = 0m = 32To find the other number, substitute 32 for m into the equation n = 16 - m/4 and solve for n.So that the other number is 16-32/4 or 8.Thus, the numbers are 8 and 32, and their product is 256.Since f(m)=16m-m2 /4, we can also look at f(32)= 16(32)-322 /4=512-256=256METHOD TWONow if you don't know calculus, here is another way to do it.You can see that f(m)= -(1/4)m2 + 16m is a quadratic function written in standard form asax2 + bx + c, where a = -1/4, b = 16, and c = 0.The graph is a parabola which opens down since the sign of the coefficient of m2 is negative (a = -1). We need to find the vertex of the parabola where the y-coordinate will be the max value.The formula for the vertex is (-b/2a, f(-b/2a)), so we have-b/2a = -16/(2(-1/4)) = 32, andf(m) = -(1/4)m2 + 16mf(-b/2a) = f(32) = -(1/4)(32)2 + 16(32) = 256Therefore, the vertex of the parabola is at (32, 256) and the maximum value of 256 happens when m = 32. Since this max value is the product of m and n, then n = 8 (256/32).METHOD THREEOnce again look at the function f(m)=16m-m2 /4 and write it in standard formf(m)=-m2 /4 +16mNow complete write this as -1/4(m2 -64m) and complete the square.We havef(m)=-1/4(m -32)2 +256This tells us the graph is a parabola with vertex (32, 256)Since the parabola opens downward, 256 is the max.
How many five sixteenths are there in an inch?
how many 5/16 in an inch... rephrased: how many 5/16 in 1? Multiply by the reciprocal and reduce. 1* 16/5 = 16/5 = 3 and 1/5 = 3.2
How many GBS equal 1 TB?
1024 GB = 1 TB.
How many square meter in 1 acre?
1 acre = 4,046.86 m2
How many square meter is 1 acre?
1 acre = 4,046.86 square meters
How big is a half- acre in m2?
1/2 acre is 2,023.4 m2
How much is 1 acre in m2?
1 acre is 4,046.9 square meters.
How much m2 in acre?
One acre is defined as 4046.86m2. How many acres is 10000m2? plz tell me
How many acre in a square?
4046.9 m2
Acre equals how many square meters?
One acre = 4,047 m2
How many meters in 1 acre?
One international acre is defined as exactly 4046.8564224 m2 or 1/640 of a square mile. An acre is about 40% of a hectare or 40.4686 are. The perimeter of acre is about 254.44 m
How many square meter in a acre?
4046.9 m2
How many m2 in an acre?
4046.873
How many sq meters in one acrea?
1 acre = 4840 sq yds ~= 4046.86 m2.
How many acres is 1722 m2?
0.43 (0.4255155) acre.
