Answer:
36⁷- 26⁷ = 70332353920 passwords.
Step-by-step explanation:
Number of digits 0-9 = 10
Number of lowercase letters a-z = 26
We have to find different passwords of length 7 that contain only digits and lower-case letters.
Total number of characters = 26 lowercase letters + 10 digits
= 36
The total number of length 7 passwords without restrictions = 36⁷
= 78364164096
The number of length 7 passwords with no digits (only lowercase letters)
= 26⁷
= 8031810176
Now the restriction here is that the password must contain at least 1 digit. This can be computed by subtracting the number of length 7 passwords with no digits from total number of length 7 passwords.
Number of length 7 passwords with restriction (at least one digit) = 36⁷- 26⁷
= 36⁷- 26⁷
= 78364164096 - 8031810176
= 70332353920
So the number of different passwords that contain only digits and lower-case letters and satisfy the given restrictions that length is 7 and the password must contain at least one digit = 70332353920
Answer:
Step-by-step explanation: Simplify both sides of the equation.
0=−16t2+24
Step 2: Add 16t^2 to both sides.
0+16t2=−16t2+24+16t2
16t2=24
Step 3: Divide both sides by 16.
16t^2/16=24/16
t^2=3/2
Step 4: Take square root.
t=± √ 3/2
t=1.224745,−1.224745
If you would like to know if 3 pounds is bigger than 50 ounces, you can calculate this using the following steps:
1 pound = <span>16 ounces</span>
3 pounds = 48 ounces < 50 ounces
The correct result would be: No, 3 pounds is less than 50 ounces.
By definition, the formula for finding the area of a trapezoid is
A = [(b1 + b2) x h] / 2
Where,
b1: Base 1
b2: Base 2
h: height, or distance between bases.
Substituting we have:
A = ((5 + 4) * (2.5)) / 2
A = 11.25 feet ^ 2
Answer:
the area of the seat is:
A = 11.25 feet ^ 2