Answer:
Dependent variable: Memory
Independent variable: Position
Step-by-step explanation:
We are given the following in the question:
Dr. Graham was curious as to whether memory is affected by position during study.
He wants to check the effect of position(either laying down on a bed or sitting up at a desk) effects the memory(list of 50 words).
Dependent and independent variable:
- Dependent variable is affected by the changes in the independent variable.
- Dependent variable are also known as response variable.
- Independent variables are the free variables.
For the given study
Dependent variable:
Memory that is determined by the recalling power of list of 50 words.
Independent variable:
Position that is either laying down on a bed or sitting up at a desk
9(x + 1)^4 - 19(x + 1)^2 + 2 = 0
After expanding and re-factoring, we have:
(3x + 2)(3x + 4)(x^2 + 2x - 1) = 0
solutions are x = -2/3, x = -4/3, x = -1 - sqrt(2), x = sqrt(2) - 1
A greatest common factor is the largest number that goes into two or more numbers (in this case two). To find the GCF of two numbers, we have to find the prime factorization (how to express a number as a product of prime numbers) and then see which numbers are common in both of the prime factorizations.
11. The prime factorization of 12 is 3 * 2 * 2. The prime factorization of 18 is 3 * 3 * 2. Looking at the prime factorizations, we can see that both of them have 3 and 2. That means that the GCF is 3 * 2 which is 6.
12. The prime factorization of 48 is 2 * 2 * 2 * 2 * 3. The prime factorization of 80 is 2 * 2 * 2 * 2 * 5. We see that the numbers shared are 2, 2, 2, and 2. That means that the GCF is 2 * 2 * 2 * 2 or 16.
Answer:
17.9
Step-by-step explanation:
