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CaHeK987 [17]
3 years ago
10

An enclosed gas exerts a pressure P on the walls of the container. this pressure is directly proportional to the temperature T o

f the gas. if the pressure is 7 lb per inch squared when the temp is 420°F, find the constant of variation.
a. 1/49
b. 49
c. 1/60
d. 60​
Mathematics
1 answer:
Hitman42 [59]3 years ago
6 0

Answer:

d. 60

Step-by-step explanation:

According to Gay Lussac's Law

P1/T1=P2/T2  where

P1= Pressure at the start, T1 = initial Temperature

, P2= Final Pressure, T2 =Final Temperature

T1=P1*T2/P2= 7*420/49=60

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Answer:

Vertical Asymptote:

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Step-by-step explanation:

we are given

f(x)=log_3(x-1)

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we know that vertical asymptotes are values of x where f(x) becomes +inf or -inf

we know that any log becomes -inf when value inside log is zero

so, we can set value inside log to zero

and then we can solve for x

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we get

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Horizontal asymptote:

we know that

horizontal asymptote is a value of y when x is +inf or -inf

For finding horizontal asymptote , we find lim x-->inf or -inf

\lim_{x \to \infty}  f(x)= \lim_{x \to \infty}log_3(x-1)

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7 0
3 years ago
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The height of a triangle is 8 cm more than the base. If the area is 24 cm2, find the height and base of the triangle.
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Answer:

height = 12 cm

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Step-by-step explanation:

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solution

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y = (-8 ± sqrt(64 - 4×-48))/2 = (-8 ± sqrt(64 + 192))/2 =

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y1 = -4 + 8 = 4 cm

y2 = -4 - 8 = -12

but a negative base length did not make any sense, so only y = 4 remains.

x = y + 8 = 4 + 8 = 12 cm

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