Tutor profile: Sohil P.

What does the following nested loop print out? for (int i = 5; i >= 0; i--) { for (int j = 0; j < i; j++) { System.out.print("*"); } System.out.println(); }

When dealing with nested loops, always start with the inner loop! The inner loop prints out "*" from j = 0 to j = i. We know that j now depends on the value of i. Let us now look at the outer loop to determine the value of i. The initial value of i is 5. Therefore, on the first iteration of the outer loop, the inner loop goes from j =0 to j = 5. First iteration of outer loop: ***** (5x) and then a newline Now, let us look at the second iteration of the outer loop, where i = 4. The inner loop then repeats from j = 0 to j = 4: Second iteration of outer loop: **** (4x) and then a newline This process continues, that is the number of stars decreases by 1 on every line until i = 0. So on the last iteration of the outer loop, the inner loop goes form j = 0 to j = 0, but since j = i, the inner loop stops, and nothing is printed. So the final output would be: ***** **** *** ** *

Explain the Central Dogma of biology.

The Central Dogma of biology explains how proteins are made in the cell. Proteins are essential to the processes in your cells: most serve as catalysts for reactions in your body, but others perform miscellaneous functions as well. Protein synthesis starts with the DNA located in your nucleus. RNA polymerase (which is a protein itself!) transcribes, or reads a sequence of nucleotides called a gene. As RNA polymerase reads the nucleotides, it synthesizes a new sequence of nucleotides corresponding to the read sequence. This new sequence is the mRNA. The mRNA then exists the nucleus and enters the cytoplasm. Ribosomes (which are made of proteins and RNA) translate the mRNA sequence into amino acids. The translation works according to a universal genetic code. The chain of amino acids produced by the ribosome is called a protein!

Simplify the following complex equation: $(-4+4i)(3+2i) $

Using distributive property, let us expand the terms. We can treat $i$ as a variable. $(-12 - 8i +12i +8i^2)$ Combining like terms: $(-12 + 4i + 8i^2)$ $i^2$ is just -1: $(-12+4i-8)$ $4i - 20$