Expand the numerator using FOIL: (16 + 64i + 3i +12i2)/i i2 = -1 (16 - 12 + 67i)/i combine like terms (4 + 67i)/i Multiple by i/i (4i + 67i2) / i2 and simplify (-67 +...

((16+3i)(1+4i))/i (answer)

Expand the numerator using FOIL: (16 + 64i + 3i +12i2)/i i2 = -1 (16 - 12 + 67i)/i combine like terms (4 + 67i)/i Multiple by i/i (4i + 67i2) / i2 and simplify (-67 +...

(7/8)x - 7/3 < 1/3 -(1/8)x Solve as you would any inequality x < 8/3 In interval notation: (8/3 , Neg Inf)

College Pre Algebra HELP!! (answer)

Let x = # of student tickets sold, then 345-x = # of non-student ticket sold. Set up a revenue equation: 3x + 5(345-x) = 1283 3x + 1725 - 5x = 1283 -2x = -442 x = 221, non-students = 124

Hard word problem (answer)

Let x = amount of 24% fertilizer, then 100-x = amount of 12% fertilizer. Set up the following equation: x(.24) + (100-x)(.12) = 100(.21) .24x + 12 - .12x = 21 .12x = 9 x = 75 You need 75 kg of 24% fertilizer...

The probability of the first being blue is 6/17, the second is 5/16 and the third is 4/15. Multiply these together to get the total probability: 6/17 x 5/16 x 4/15 = .029

Find the volume of the brass piece. (answer)

The displacement of the water = 50 x 40 x 13 = 26000 cm3 = 2.6 liters

Your data points are the number of people in the car which could be 1, 2, 3, or 4. Set the data up like this: People Occurrences 1 40 2 28 3 10 4...

With a 5% interest rate, what is the minimum time required for $2500 to grow to at least $4500? (answer)

If we assume simple interest (compounded annually), we use the following: 4500 = 2500(1.05)t where t is the time in years, solve for t 9/5 = 1.05t ln(9/5) = t(ln(1.05)) t = ln(9/5)/ln(1.05) =12.04 years

I will assume that the "length" in question is along the outside of the circle. In this case 1 radian = 20 cm, so an 85 cm arc length = 85/20 radians = 17/4 radians or 243.5 degrees

Solve the equation for y: y = (11/6)x -7/3 Therefor the graph of the line has a slope of 11/6 and a y-intercept of -73. To write a parallel line, use the same slope and a different y-intercept, such as: y = (11/6)x + 1 To write...

A=P(1+ r/n)nt A=total amount payed=300 x 12 x 5 = 18000 P = amount borrowed (unknown) r= rate = .066 n = times per year compounded = monthly = 12 t = years = 5 18000 = P(1 + .066/12)(12x5) 18000...

dog = 6 ft/sec = 2 yd/sec cat = 9 ft/sec = 3 yd/sec Add them together and get 5 yd/sec 165/5 = 33 seconds

Let x = Amount invested in the 1st account and (35750-x) = amount invested in the second account. .1625x + .095(35750-x) = 4746.20 .0675x + 3396.25 = 4746.20 .0675x = 1349.95 x = 20000 in teh 1st account 15750...

The coefficient is the rational number proceeding a certain term of a polynomial. In this case the coefficient of the x term is -5.

31.25% = .3125 = 3125/10000 = 5/16

(6-4)/(2- -3) = 2/5

Set them up in order from smallest to largest: 2, 3, 4, 8, 8 the number in the middle (4) is the median

Probability (answer)

When rolling two dice, there are 36 possible outcomes. There are 6 sets of doubles and a sum of six can be (1,5), (2,4), (3,3), (4,2) and (5,1). but we cant double count the (3,3). So there are a total of 10 combinations of 6 or doubles. Therefor the probability...

You need to find the distance each boat is from the building and then subtract them: Boat 1: tan 54 = x/35 x = 48.2 Boat 2: tan 31 = y/35 y = 21 difference is 48.2-21 = 27.2 m apart

fluid conversion (answer)

There are 8 pints in a gallon, so the Cl = 3.2/8 = .4