Answer:
the first one, 64(-1/2)^(n-1)
Step-by-step explanation:
To go from one number to the next, we first start with 64, so everything is multiplied by that. Next, 64 turns into -32, and (-32)/64 = -1/2. Similarly, 16/-32 is -1/2, and -8/16 is -1/2 as well. Therefore, we have to multiply each number by -1/2 a number of times. For example, to get from 64 to 16, we have to multiply 64 by negative one half 2 times. The only option with -1/2 in the multiplier is the first one, making that our answer
Answer:
29
Step-by-step explanation:
using pemdas, you first need to solve 3² which is 9. Then you do what's in the parenthesis (4-1) which is 3. you'll first multiply 9 and 3 (27) add the 2 and there's your answer, 29.
Answer:
.
Step-by-step explanation:
We are told that a man drove x miles per hour for 3 hours, so he traveled 3x miles in three hours.
We are also told that he drove (2x-60) miles per hour for the next 4.75 hours. So The distance traveled by in next 4.75 hours will be:
To find the total distance traveled by man we will add distances traveled by him in first 3 hours and next 4.75 hours.
Upon combining like terms we will get,


Therefore, the total distance traveled in terms of x will be
.
Answer:
Step-by-step explanation:
Given : The total number of programmers in the company = 30
The company wants to select a group of 6 programmers to work on a particular project.
Since the order of selecting them does not matters , therefore we use combinations.
The number of combinations of r things taken from n things is given by :-

here, n= 30 and r= 6
So the number of different ways to form they could select a group of 6 would be 

i.e. Total ways =593775
In terms of factorials , the number of total ways to form they could select a group of 6 is
.