Answer:
The answer to your question is speed = 81.5 mi/h
Step-by-step explanation:
Data
distance = 230 ft
time = 1.932 s
speed = ? mi/h
Process
1.- Convert the distance to mi
1 mile ----------------- 5280 ft
x ----------------- 230 ft
x = (230 x 1) / 5280
x = 0.044 mi
2.- Convert time to hours
1 h ------------------ 3600 s
x ------------------ 1.932 s
x = (1.932 x 1) / 3600
x = 0.00054 h
3.- Calculate the speed
speed = distance / time
-Substitution
speed = 0.044/ 0.00054
-Result
speed = 81.5 mi/h
Answer:

Step-by-step explanation:
Given


Required
Determine the 7th term
The nth term of a gp is:

So, we have:





Answer:
250 questions
Step-by-step explanation:
65 is equal to 26% of the total number of questions so:
65 / total number of questions (x) is equivalent to 26 / 100
(65 and 26 are a fraction of the whole thing. it doesn't matter whether they go on the numerator or denominator, as long as they are either both on one or the other)
65/x = 26/100
you can simplify this into
26x = 6500
/26 /26
then you divide by 26 on both sides to isolate the variable
x = 250
Answer:
24
Step-by-step explanation:
Factorial is applicable only for natural numbers and 0.
0! =1 trivially.
FOr other numbers, factorial is defined as 1x2x...n
For example 1! = 1
2! = 1x2 = 2
and so on.
i.e. n! = product of all natural numbers from 1 to n
= 1x2x....n
Using the above
we have n =4
Natural numbers from 1 to 4 are 1,2,3,4
Find the product of these 4 natural numbers to get 4!
4! = 1x2x3x4 = 24