Answer:
Step-by-step explanation:
When two variables vary inversely, it means that an increase in one would lead to a decrease in the other and vice versa. Since the volume of a gas, V in a container varies inversely with the pressure on the gas, P, if we introduce a constant of proportionality, k, the expression would be
V = k/P
If V = 370 in³ and P = 15psi, then
370 = k/15
k = 370 × 15 = 5550
The equation that relates the volume, V, to the pressure, P would be
V = 5550/P
if the pressure was increased to 25psi, the volume would be
V = 5550/25 = 222 in³
Answer:the nth term of the sequence, Tn= -3n +12
Step-by-step explanation:
The nth term of an arithmetic progression is given as
Tn= a+ (n-1) d
where a= first term
and d = common difference
In this sequence, 9, 6 ,3 ,0, -3, -6 we can see that the number is decreasing by 3
The first term, a= 9
and common difference, d = -3
using our formulae
Tn= a+ (n-1) d
Tn= 9 + ( n-1) -3
Tn=9- 3n+ 3
Tn= -3n +12
Answer:
P(B and B) = 1/9
Step-by-step explanation:
There are 4+3+5 = 12 tiles in total
The probability of selecting a B would be 4/12=1/3
When you are replacing a B tile, planning to pick a B tile again, the total tile count doesn't change. Therefore, because the two events are independent, their probabilities are multiplied and so P(B and B) = P(B) * P(B) = 1/3 * 1/3 = 1/9
Step-by-step explanation:
The solution is in the attached file
Answer:
8.5 in
Step-by-step explanation:
You are solving for the hypotenuse right? So you would use this formula:
c = square root a^2+b^2
the c is the hypotenuse (long side of a right triangle) and a will be 4 and b will be 7.5. substitute the numbers in, solve, and you get 8.5 inches!
x = square root 4^2 + 7.5^2
x = square root 16 + 56.25
x = square root 72.25
x = 8.5 inches
