Accuplacer Math College Exam
What is 2^(5/2) - 2^(3/2) Correct Answer: ** 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√
...
Accuplacer Math College Exam
What is 2^(5/2) - 2^(3/2) Correct Answer: ** 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! Correct Answer: 5 * 4 * 3 * 2 * 1
What is (2^4) * (2^5) Correct Answer: 2^9
How do you calculate the determinant of a matrix Correct Answer: 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 log\3\(27) = Y Correct Answer: 3^y = 27
What is the conversion of 4^x = 16 Correct Answer: log\4\(16) = x
What is 2√10 * 2√3 Correct Answer: 4√30
Factor (2x^5)-(2x^4)-(40x^3) Correct Answer: (2x^3)(x^2-x-20)
How do you determine if 2 lines are parallel? Correct Answer: 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) Correct Answer: 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? Correct Answer: * 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 Correct Answer: Sin is essentially just Pi/2 to the right of a cosine function
If the cosine of an acute angle x in a right triangle is 1/2, what is sin(x)? Correct Answer: This is relatively epic, because if you know SOHCAHTOA You can literally figure it out by drawing a right triangle
Complementary angles Correct Answer: Two angles that together form a 90 degree angle - they compliment each other in their goal to obtain 90 degrees
Supplementary Angles Correct Answer: These angles take supplements to reach 180 degree because compliments are simply not enough
Rewrite log3(x+5)=2 Correct Answer: 3^2=x+5
What is the equation for a circle? Correct Answer: (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? Correct Answer: 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? Correct Answer: 3!4!5!3!
What is Bottoms up? Correct Answer: 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? Correct Answer: PLUG IN THE ANSWER CHOICES
(x^5)(y^−4)(z^−1) / (x^−2)(y^2)(z^−4) Correct Answer: (x^7)(z^3) / (y^6)
How do you divide by Negative Exponents? Correct Answer:
What is 3(-1)^2 Correct Answer: 3
Find Volume of Rectangle Correct Answer:
Find Circumfrance of Circle Correct Answer:
Find area of rectangle Correct Answer:
Triangle Height Correct Answer:
Traingle Area Correct Answer:
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