Final answer:
After calculating the available space on Jack's 1 TB hard drive, having used 7.4 x 10^8 bytes, the remaining space is 9.9926 x 10^11 bytes, which does not match any of the given answer choices. so, option c is the correct answer.
Step-by-step explanation:
Jack bought an external hard drive with 1 TB, which is equal to 1 x 1012 bytes of available space. He has used up 7.4 x 108 bytes so far. To calculate the remaining space, we subtract the used space from the total space:
1 x 1012 bytes - 7.4 x 108 bytes = (1 x 1012 - 7.4 x 108) bytes
Since 1 x 1012 is 1,000,000,000,000 bytes and 7.4 x 108 is 740,000,000 bytes, after performing the subtraction we get:
999,260,000,000 bytes, which is also 9.9926 x 1011 bytes. To match the answer choices, we convert this into scientific notation:
9.9926 x 1011 bytes (This is not one of the answer choices, so there seems to be a mistake in the question or the answer choices provided.)
To determine how much space Jack has available, we need to subtract the amount of space he has used from the total amount of space on the external hard drive.
Jack has used up 7.4x108 bytes, and the hard drive has 1x1012 bytes. Therefore, the amount of space he has available is 1x1012 - 7.4x108 = 9.3x1011 bytes.
Therefore, Jack has 9.3x1011 bytes of space available.