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Elenna [48]
3 years ago
10

Simplify the expression by using a double-angle formula. −2cos2π91

Mathematics
1 answer:
Hatshy [7]3 years ago
7 0
The Answer of <span>−2cos2π91 =</span> is -2 
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Find positive numbers x and y satisfying the equation xyequals12 such that the sum 4xplusy is as small as possible. Let S be the
WITCHER [35]

Answer:

The objective function in terms of one​ number, x is

S(x) = 4x + (12/x)

The values of x and y that minimum the sum are √3 and 4√3 respectively.

Step-by-step explanation:

Two positive numbers, x and y

x × y = 12

xy = 12

S(x,y) = 4x + y

We plan to minimize the sum subject to the constraint (xy = 12)

We can make y the subject of formula in the constraint equation

y = (12/x)

Substituting into the objective function,

S(x,y) = 4x + y

S(x) = 4x + (12/x)

We can then find the minimum.

At minimum point, (dS/dx) = 0 and (d²S/dx²) > 0

(dS/dx) = 4 - (12/x²) = 0

4 - (12/x²) = 0

(12/x²) = 4

4x² = 12

x = √3

y = 12/√3 = 4√3

To just check if this point is truly a minimum

(d²S/dx²) = (24/x³) = (8/√3) > 0 (minimum point)

4 0
2 years ago
If two orders are​ selected, find the probability that they are both from Restaurant D. a. Assume that the selections are made w
Katena32 [7]

Answer:

The probability is

nothing.

8 0
3 years ago
8+30\2+4=27 put parentheses so it can equal 23 and 13
zhannawk [14.2K]

Answer:

correct anwer=27

Step-by-step explanation:

the anwer for this equation comes out to be 27. As simple as it becomes on applying paranthesis to this equation therefore we get

8+(30/2)+4=27

we need to apply the paranthesis using the method of BODMAS.

which favours division over addition.

therefore,correct anwer is 27 and not 13

6 0
3 years ago
Why did the farmers daughter watch the lazy cows
artcher [175]
Because she was bored
3 0
2 years ago
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These are the round-trip distances that city buses traveled on different routes each month. Calculate the distance, in miles, th
prohojiy [21]
I think you have to use the distance formula
4 0
3 years ago
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