To find slope use the slope formula. Then, use y=mx+b. Plug in the numbers.
36.25/5 = 7.25
The first digit of the quotient is in the ones. Paul is correct.
Answer:
13.6 gallons
Step-by-step explanation:
Miles Driven = Gallons Burnt * Miles Per Gallon
So if yo drive 20.88 miles on one gallon how many gallons does it take to drive 284 miles. This is 284/20.88 = 13.6 gallons
Whilst the numerical answer is correct the previous answer, it does not maintain the validity of the units - in which things are measured. You will see this is very important in science
What can we learn from this. As an intermediate step we have learnt that the car does 20.88 mpg, lets call it 21. So a car that has a sticker at the show room with an MPG of more than 21 will consume less gas and one that has a smaller mpg will consume more.
Answer:
12ft
Step-by-step explanation:
use sin cos tan method
here, we can see 6ft as adj to the angle and the ladder as hypotenuse
so, adj/hyp = cosθ
--> 6/hyp = cos60
--> hyp = 6/cos60
--> hyp, length of ladder = 12ft
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