Answer:
14a⁴b
Step-by-step explanation:
Factors of 28a⁴b⁸c7:
2²×7×a⁴×b⁸×c⁷
Factors of 98a⁵b:
2×7²×a⁵×b
For GCF collect the common factors:
2×7×a⁴×b
GCF = 14a⁴b
Answer:
15504 different groups
Step-by-step explanation:
We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.
The formula for combination is:
C(n, p) = n! / (p! * (n-p)!)
In this case, we have n = 20 and p = 5, so:
C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504
So we have 15504 different groups.
Answer:
Step-by-step explanation:
So we have the two functions:
And we want to find f(g(-2)).
First, let's find g(-2):
Multiply:
Subtract:
Now, substitute:
Now, find the value of f(-20):
Multiply:
Add:
So:
And we're done!
I don't know what the spaces are meant for but I think that means 934 and 6814 only. Another point is, speed should be expressed in units of distance over time. So that would be miles/min.
So, distance could be calculated by multiplying speed and time.
d = 934 mi/min * 6814 min
d = 6,364,276 miles
