Answer:
D - 5 min 10 sec
Step-by-step explanation:
First of all, we need to convert the marathon running time into seconds. We have:
2 hours = 2 x 3,600 s = 7,200 s
15 minutes = 15 x 60 s = 900 s
25 seconds = 25 s
So, in total,
During this time, Ambers covered 26.2 miles. We can find the time Amber would take to run 1 mile by using the following proportion:
Since
5 min = 5 x 60 s = 300 s
We see that 310 seconds corresponds to 5 min and 10 seconds.
Answer:
c) three
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Step-by-step:
The tetrahedron is a triangular pyramid with equilateral triangles on each face.
The formula to find any term of an an arithmetic sequence is given by
=
=(n-1)d,
where we have first term
=8,
and d which is the common difference , and n is the term we need to find (in our case is 20)
the difference d=3, as you see each number is the previous minus 3
for S20=8+(20-1)*(-3)=8+(19)*(-3)=8-57=-49
S20=-49, this the 20th term
Answer: 120
Step-by-step explanation:
From the question, we are informed that there are 10 people in a math club and that three people will be chosen for the Pi Day committee.
The number of different ways that the club members can structure the committee goes thus:
This can be solved by:
nCr = n! / r! (n - r)!
where n = 10
r = 3
= n! / r! (n - r)!
= 10! / 3! (10 - 3)!
= (10 × 9 × 8) / (3 × 2)
=120
Answer:
n = 2
Step-by-step explanation:
Take square,