Answer:
5040,56
Step-by-step explanation:
We have to construct pass words of 4 digits
a) None of the digits can be repeated
We have total digits as 0 to 9.
4 digits can be selected form these 10 in 10P4 ways (since order matters in numbers)
No of passwords = 10P4
= 
b) start with 5 and end in even digit
Here we restrain the choices by putting conditions
I digit is compulsorily 5 and hence only one way
Last digit can be any one of 0,2,4,6,8 hence 5 ways
Once first and last selected remaining 2 digits can be selected from remaining 8 digits in 8P2 ways (order counts here)
=56
Answer:
Step-by-step explanation:
1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.
2) Collect like terms.
3) Simplify.
Therefor, the answer is, 10x^3 - 26x^2 - 12x.
Answer:
The answer is D.
Step-by-step explanation:
130 x 60 = 7,800 miles. you don't need the extra information "5 days a week" to solve the problem.
Answer: 
Step-by-step explanation:
Observe in the figure given in the exercise that four right triangles are formed.
In this case you can use the following Trigonometric Identity to solve this exercise:
From the figure you can identify that:
Then, you can substitute values:
The next step is to solve for DE in order to find its value. This is:
Finally, rounding the result to the nearest tenth, you get that this is:
Answer:
The sum of first five term of GP is 19607.
Step-by-step explanation:
We are given the following in the question:
A geometric progression with 7 as the first term and 7 as the common ration.
Sum of n terms in a geometric progression:
For sum of five terms, we put n= 5, a = 7, r = 7
The sum of first five term of GP is 19607.
Verification:
Thus, the sum is equal to product of 2801 and 7.
