Concept:
First eliminate the t from x=3t and then put it in y=t² and then graph it. As, limit of t is not restricted so t ∈ R(all real numbers)
As it is difficult to make graph here so I have solved it by hand and add all detail regarding it.
Answer:
18 minutes
Step-by-step explanation:
Given that the time (T) varies directly as the number of spectators (S) and varies inversely as number of open exits (E).
Hence:
T ∝ S; T ∝ 1 / E
Let k be the constant of proportionality. This gives:
T = kS / E
when T = 12 minutes, S = 20000, E = 20. Hence:
12 = k(20000) / 20
20000k = 240
k = 12 / 1000
This gives:
T = 
When S = 36000, E = 24, we are to calculate the time (T):
T = 18 minutes
7
Clocks can display up to the number 59 (60 minutes in an hour). If you list all of the perfect squares that are under 59, you will find that there is 7 of them: 1, 4, 9, 16, 25, 36, and 49.
Answer:
r = 2
Step-by-step explanation:
2(8r + 5) = 24 + 9r
16r + 10 = 24 + 9r
16r - 9r = 24 - 10
7r = 14
r = 2
The correct answer is A) yes, the sum of each pair is greater than the third.
The triangle inequality theorem states that the sum of any two sides of a triangle is longer than the third side. This is true for these numbers, so this does form a triangle.
