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blagie [28]
2 years ago
7

g If the quantity of helium in a weather balloon in increased by a factor of 5 at constant temperature and pressure, by how much

does the volume of the balloon change? Decrease by 2 times Increase by 5 times Decrease by 5 times Increase by 2 times
Mathematics
1 answer:
choli [55]2 years ago
6 0

Answer:

Increase by 5 times

Step-by-step explanation:

Given that from the ideal gas law;

PV = nRT

P= pressure

V= volume

n= number of moles

R= gas constant

T = temperature

It the follows that;

V= nRT/P

When the number of moles (quantity of helium) is increased by a factor of 5 while temperature and pressure remain constant, we can write;

PV = 5nRT

V = 5nRT/P

Hence the volume increases by a factor of 5.

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What is an equation of the line that passes through the points (4, -2) and (8,3)?
Dimas [21]
Use the equation to find the slope: m=y2-y1/x2-x1 and plug in each of the y coordinates into the numerator and each of the x coordinates in the denominator

m=-2-3/4-8
-5/-4
m=5/4

Plug in the slope and one of the ordered pairs into y=mx+b. I’ll use (8,3)

3=5/4(8)+b
3=10+b
-7=b

Equation: y=5/4x-7
4 0
2 years ago
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇f. (If the vector field is
kodGreya [7K]

We're looking for a scalar function f(x,y) such that \nabla f(x,y)=\vec F(x,y). That is,

\dfrac{\partial f}{\partial x}=2x-6y

\dfrac{\partial f}{\partial y}=-6x+6y-7

Integrate the first equation with respect to x:

f(x,y)=x^2-6xy+g(y)

Differentiate with respect to y:

-6x+6y-7=-6x+\dfrac{\mathrm dg}{\mathrm dy}\implies\dfrac{\mathrm dg}{\mathrm dy}=6y-7

Integrate with respect to y:

g(y)=3y^2-7y+C

So \vec F is indeed conservative with the scalar potential function

f(x,y)=x^2-6xy+3y^2-7y+C

where C is an arbitrary constant.

6 0
3 years ago
Adrian says that 4(-9)= 36. Why is Adrian incorrect?
xenn [34]

Answer:

4(-9)= -36

Step-by-step explanation:

Since there's a negative on the 9 it will affect the product. So the answer is supposed to be a - 36.

4 0
2 years ago
Find the sum or difference 5/6 + 4/9
Naily [24]
The closest option to the actual answer is a.

1 5/18 is the actual answer.

If you make both the denominators the same, then you can actually add the fractions together.

To make both of the denominators the same, you need to multiply 5/6 by 9 and 4/9 by 6, which would result in 45/54 + 24/54= 69/54 = 23/18. If we convert it to a mixed fraction, it would result into 1 5/18.
6 0
3 years ago
According to the table, how many students in the seventh grade bike to school?
NARA [144]

Answer:

The anwser is B.) 49

Step-by-step explanation:

If you subtract 79 (the amount of 7th graders riding the bus) from 128 (the total number of 7th graders) you will get 49. Therefore 49 is the answer.

Hope this helps!!

4 0
3 years ago
Read 2 more answers
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