Accuplacer Math College Exam questions and answers |complete solutions

Accuplacer Math College Exam questions and answers |complete solutions What is 2^(5/2) - 2^(3/2) * 2√2 * 2^(5-2) can be broken into: 2^4/2 == 2^2 == 4 so 4 2^1/2 or 4√2 2^3/2 can be broken into: 2^1 == 2 2^1/2 == √2 so 2√2 4√2 - 2√2 = 2√2 What is 5! 5 4 3 2 1 00:37 01:42 What is (2^4) * (2^5) 2^9 How do you calculate the determinant of a matrix Imagine a 2x2 cube, where top left = a top right = b bottom left = c bottom right = d Determinant == (a/c) - (b/d) What is the conversion of log3(27) = Y 3^y = 27 What is the conversion of 4^x = 16 log4(16) = x What is 2√10 * 2√3 4√30 Factor (2x^5)-(2x^4)-(40x^3) (2x^3)(x^2-x-20) How do you determine if 2 lines are parallel? Convert to y=mx+b If both x's are the same, it is parallel What is the slope of a line that crosses (5,6) and has a y-int of (0,2) 4/5 James has $10,000. He puts some of his money in a savings account that yields 1% annually. He invests the rest in bonds that yield 5% annually. If after one year, James earns a total of $400 from both the savings and bond investment, how much money did he put in his savings account? 7500 So, you know the interest is .01 on the saving and .05 on the bonds, profit is set to 400, so : 400 = .01S + .05B You also know that S + B = 10,000, so: 10,000 = S + B You can isolate S, S = 10,000 - B Now you can plug that in for S in the other equation: 400 = .01(10,000 - B) + .05B 400 = 100 - .01B + .05B 400 = 100 + .04B 300 = .04B 300 * 25 What is the relationship between Sine and Cosine Sin is essentially just Pi/2 to the right of a cosine function 00:06 01:42 If the cosine of an acute angle x in a right triangle is 1/2, what is sin(x)? This is relatively epic, because if you know SOHCAHTOA You can literally figure it out by drawing a right triangle Complementary angles Two angles that together form a 90 degree angle - they compliment each other in their goal to obtain 90 degrees Supplementary Angles These angles take supplements to reach 180 degree because compliments are simply not enough Rewrite log3(x+5)=2 3^2=x+5 What is the equation for a circle? (x−a)^2+(y−b)^2=r^2 A safe has a four digit code, with each digit taking on values 1-5. How many possible combinations are there for the code? 5^4, so 625 There are 5 combination for the 4 digits that need to be calculated Stacy has 3 Math books, 4 Science books, and 5 English books. How many different ways can she arrange them on her shelf if she wants to keep the books arranged by subject? 3!4!5!3! What is Bottoms up? Whatever factors of C add up to B. If A!=1, you divide the factors by A The equation y=x2−5y=x2−5 goes through which of the following points? PLUG IN THE ANSWER CHOICES (x^5)(y^−4)(z^−1) / (x^−2)(y^2)(z^−4) (x^7)(z^3) / (y^6) How do you divide by Negative Exponents? ... What is 3(-1)^2 3 Find Volume of Rectangle ... Find Circumfrance of Circle ... Find area of rectangle ... Triangle Height ... Traingle Area ...