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Roman55 [17]
3 years ago
6

Rearrange the variables to write the equation, V = 8t/p to solve for temperature, t , h, as a function of volume and pressure, v

and p
Mathematics
1 answer:
Elodia [21]3 years ago
5 0

Answer:

t = Vp / 8

Step-by-step explanation:

Given:

V = 8t/p

Where,

V = volume

t = temperature

p = pressure

solve for temperature, t as a function of volume and pressure, v and p

V = 8t/p

Cross product

V*p = 8t

Vp = 8t

Divide both sides by 8

Vp / 8 = 8t / 8

Vp / 8 = t

Therefore,

t = Vp / 8

That is, temperature = product of volume and pressure divided by 8

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The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of app
AfilCa [17]

Answer:

Q(t) = 4.5(1.013)^{t}

The world population at the beginning of 2019 will be of 7.45 billion people.

Step-by-step explanation:

The world population can be modeled by the following equation.

Q(t) = Q(0)(1+r)^{t}

In which Q(t) is the population in t years after 1980, in billions, Q(0) is the initial population and r is the growth rate.

The world population at the beginning of 1980 was 4.5 billion. Assuming that the population continued to grow at the rate of approximately 1.3%/year.

This means that Q(0) = 4.5, r = 0.013

So

Q(t) = Q(0)(1+r)^{t}

Q(t) = 4.5(1.013)^{t}

What will the world population be at the beginning of 2019 ?

2019 - 1980 = 39. So this is Q(39).

Q(t) = 4.5(1.013)^{t}

Q(39) = 4.5(1.013)^{39} = 7.45

The world population at the beginning of 2019 will be of 7.45 billion people.

6 0
4 years ago
Can someone help me please I’m stuck
Oxana [17]

Answer: 9

you have to multiply. f × x. substitute x as 3 shown in the question and on the x side of the tabel you will see 3 right across from it is 9 that's how I got my answer.

7 0
3 years ago
Because of the vertical angles and alternate interior angles we know these are similar triangles. Use what you know about propor
Makovka662 [10]

Answer:

x = 20

Step-by-step explanation:

Length 6 corresponds to length 15

Length 8 corresponds to length x

15 ÷ 6 = 2.5

8 • 2.5 = 20

x = 20

2.5 is the scale factor of the small triangle to the big triangle.

4 0
3 years ago
If the vertex is (2, -8), what is the axis of symmetry? *
frozen [14]

Answer:

The axis of symmetry is x=2

5 0
3 years ago
If 60 marks is 40% what is full marks
Rina8888 [55]
60 = 40% * x ;
60 = ( 40 / 100 ) * x ;
60 = 2x / 5 ;
2x = 300 ;
x = 300 / 2 ;
x = 150 is full marks.
4 0
3 years ago
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