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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
Acre equals how many square meters?
One acre = 4,047 m2
How many square meter in a acre?
4046.9 m2
How many m2 in an acre?
4046.873
How many meters in 1 acre?
There are approximately 4,047 square meters in 1 acre.
How many sq meters in one acrea?
1 acre = 4840 sq yds ~= 4046.86 m2.
How many acres in 1113 square meters?
1113 m2 = 0.275 acres1 acre = 4046.9 m2
How many canal makes 1 acre?
I believe there are 550 square yards to a canal, so that makes 8.8 canals / acre, but my brother-in-law says there are 26 canals / acre, which does not tie in. {| |- | 1 canal = 550 sq. yds = 4,950 sq. ft. there are 0.3048 ft / metre = 0.0929 sq. ft/m2 so 1 canal = 460 m2 1 hectare = 10,000 m2 so there are 22 canals / hectare there are 0.4047 acres / hectare so there are 8.8 canals / acre |} I believe there are 550 square yards to a canal, so that makes 8.8 canals / acre, but my brother-in-law says there are 26 canals / acre, which does not tie in. {| |- | 1 canal = 550 sq. yds = 4,950 sq. ft. there are 0.3048 ft / metre = 0.0929 sq. ft/m2 so 1 canal = 460 m2 1 hectare = 10,000 m2 so there are 22 canals / hectare there are 0.4047 acres / hectare so there are 8.8 canals / acre |}
