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3 years ago

Find the integer a such that a.a ≡ 43 (mod 23) and −22 ≤ a ≤ 0.

1 answer:

8 0

Given that a is an integer from -22 to 0 such that a is equivalent to 43 (mod 23).

Such a can be obtained as follows:

a = 43 (mod 23) - 23 = 20 - 23 = -3.

Therefore, a = -3.

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the ratio of men to women in a certain factory is 3 to 4. there are 210 men. How many workers are there?

Nadusha1986 [10]

So men to women=3 to 4
210 men

210 represents 3 units
wome=4

210=3 units
divide by 3
70=1 unit
multiply by 4 to find women
280=women

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women=280
men=210
280+210=490

total =490

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3 years ago

If the graph of y=f(x) passes through the point (0,1), and dy/dx=xsin(x^2)/y, then f(x)= ?

Zigmanuir [339]

The differential equation

dy/dx = x sin(x ²) / y

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Solve for y implicitly:

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C = 2

Then the particular solution to the DE is

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Solving explicitly for y would give two solutions,

y = ± √(2 - cos(x ²))

but only the one with the positive square root satisfies the initial condition:

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-√(2 - cos(0²)) = -√1 = -1 ≠ 1

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y = √(2 - cos(x ²))

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g100num [7]

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