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Find the function J(t) that satisfies dJ(t)/dt = 4J(t)         J(t) = ∫4J(t) dt         J(t) = e4t + C   where C is a constant.         J(t=0) = 5 = e4*0 + C = 1 + C    ...

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√(xy3) / xy         = (xy3)1/2 / xy         = x1/2y3/2 / xy         = x1/2-1y3/2-1         = x-1/2y1/2   The answer is B)

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f(x)=sqrt x+3 (answer)

In the real number set, you can't take the square root of a negative number.  Therefore, the expression under the radical (known as the radicand) must be greater than or equal to zero:        x+3 ≥ 0   or        ...

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30+15x =90 (answer)

30 + 15x = 90   Subtract 30 from both sides:     30 + 15x = 90 -30             -30 -------------------          15x = 60   Divide both...

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i need help (answer)

(−8a2 b3)/(−2a5 b−4 )        = (-8a2-5 b3-(-4))/(-2)        = 4a-3b7        = 4b7/a3

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Let x and y be the two unknowns positive integers the difference between 2 positive integers is 3:  x - y = 3 If the smaller is added to the square of the larger, the sum is 339:  x2 + y = 339   Since x-y = 3, then x = y+3.  Substitute y+3 in...

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Let: J = the number  of diamonds that John has K = the number of diamonds that Kayla has   If John gives Kayla a diamond, she will have twice as many as him:         J-1 = (1/2)(K+1)   If Kayla gives one to John,...

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solve problem (answer)

From a 30-60-90o right triangle, we know that sin(60o) = √3/2.  Hence sin-1(√3/2) = 60o.  To convert to radians:        60o/180o = x radians/pi radians        pi/3 radians = x

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Solve this... (answer)

Let x = the unknown number.  Six hundred minus three fourths of a number (600 - (3/4)x) is (=) three times the number (3x)         600 - 3x/4 = 3x       600 = 15x/4       600*(4/15) = x        ...

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The variable Z is directly proportional to X         z α x   and inversely proportional to Y:         z α 1/y   So the equation of variation is z = k(x/y) where k is the constant of proportionality. ...

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trigonometry (answer)

Follow this link to a picture of a 30-60-90o right triangle:   http://www.biology.arizona.edu/biomath/tutorials/trigonometric/graphics/trig_30_60_90.gif   From the picture, you can see that sin(30o) = 1/2.  Therefore, sin-1(1/2) = 30o. Hence tan(sin-1(1/2)) = tan(30o)...

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There are 8 major planets in our solar system, in the order from closest to furthest from the sun: Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune   Pluto used to be considered a 9th planet, but its status was downgraded in 2006 to a dwarf planet. ...

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