9514 1404 393
Answer:
C. (45+11i)/29
Step-by-step explanation:
Multiply numerator and denominator by the conjugate of the denominator.
Answer: See explanation
Step-by-step explanation:
We will use the formula for an arithmetic sequence which will be:
a + (n - 1)d
where a = unknown
n = 6
d = 4
We then slot them into the formula
a + (6 - 1)4 = 12
a + 5(4) = 12
a + 20 = 12
a = 12 - 20
a = -8
The 6 numbers are
1st term = -8
2nd term = -8 + 4 = -4
3rd term = -4 + 4 = 0
4th term = 0 + 4 = 4
5th term = 4 + 4 = 8
6th term = 8 + 4 = 12
We have to round the value of 0.1561 to the nearest tenth.
The number after decimal is the number at tenth place. Consider the number to the right of the tenths place and use the number to determine if you will round up or stay the same. Notice that the number to the right of tenth place is more than or equal to 5 or less than 5. If that number is greater than or equal to 5, then the number will round up but if that number is less than 5, then the number will not round up. It will remain same.
Let us consider the given number 0.1561
The number at tenths place is 1
The number after the tenths place is 5 (which is either greater than or equal to 5)
So, the number will round up to 0.2
The greatest common factor (GCF) of 9, 21 and 60 is: 3
Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7
Factors of 60: 1, 2, 3, 4, 5, 6
The common factors between the three numbers are 1 and 3, but since 3 is the highest number, it is considered the GCF.
1 + (-5/8) = 3/8
Explanation: If the coffee wasn’t drank it would’ve been at fraction 1 (or 100%)
Since he drank 5/8 of it. The coffee left is now 1-(5/8)
But since the question has asked to give the equation in addition format. Put a plus sign in between the two.
Therefore,
1 + (-5/8)
Solve it,
= 1-(5/8)
= (8-5)/8
= 3/8
Hence the equation is:
1 + (-5/8) = 3/8.
