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MA_775_DIABLO [31]
4 years ago
10

An enclosed gas exerts a pressure p on the walls of a container. This pressure is directly proportional to the temperature t of

the gas. if the pressure is 7 lb per square inch, when the temperature is 420 f find the constant variation
Mathematics
1 answer:
liberstina [14]4 years ago
6 0
P = kT where k is a constant to be found.

from the given data:-

7 = 420k
k = 7/420  =  1/60  or 0.0167  to nearest 10 thousandth
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How do you do this question?
likoan [24]

Answer:

a) -7/9

b) 16 / (n² + 15n + 56)

c) 1

Step-by-step explanation:

When n = 1, there is only one term in the series, so a₁ = s₁.

a₁ = (1 − 8) / (1 + 8)

a₁ = -7/9

The sum of the first n terms is equal to the sum of the first n−1 terms plus the nth term.

sₙ = sₙ₋₁ + aₙ

(n − 8) / (n + 8) = (n − 1 − 8) / (n − 1 + 8) + aₙ

(n − 8) / (n + 8) = (n − 9) / (n + 7) + aₙ

aₙ = (n − 8) / (n + 8) − (n − 9) / (n + 7)

If you wish, you can simplify by finding the common denominator.

aₙ = [(n − 8) (n + 7) − (n − 9) (n + 8)] / [(n + 8) (n + 7)]

aₙ = [n² − n − 56 − (n² − n − 72)] / (n² + 15n + 56)

aₙ = 16 / (n² + 15n + 56)

The infinite sum is:

∑₁°° aₙ = lim(n→∞) sₙ

∑₁°° aₙ = lim(n→∞) (n − 8) / (n + 8)

∑₁°° aₙ = 1

8 0
3 years ago
F(x) = -x^2 + 5x – 2<br> Find f(-4)
disa [49]

Answer:

2

Step-by-step explanation:

if f(4), than -4^2=-16

5(4)=20

-16+20-2=2

8 0
3 years ago
Why did Chase (and many others) oppose passage of the Kansas-Nebraska Act?
Misha Larkins [42]
Some objected to slavery on moral grounds, believing that it violated christian teachings , while others simply did not want to complete economically with slave-owners.
6 0
2 years ago
Cuales son los terminos que siguen en cada sucesion:a)2,4,8,16,32,64,....B)1,3,5,7,9,....C)1,3,6,10,15,21,28,36,45
Elanso [62]

Answer:

a) Número siguiente = Número anterior * 2

b) Número siguiente = Número anterior + 2

c) Número siguiente = Número anterior + (n + 1)

Step-by-step explanation:

a) Para la secuencia 2,4,8,16,32,64, ....

El siguiente número es dos veces el número anterior.

Por ejemplo, 4 = 2 * 2, 8 = 4 * 2, 16 = 8 * 2 etc.

b) Para la secuencia 1,3,5,7,9, ....

El siguiente número es igual al número anterior + 2

Por ejemplo, 3 = 1 + 2, 5 = 3 + 2, 7 = 5 + 2 etc.

c) Para la secuencia1,3, 6,10,15,21,28,36,45

La diferencia entre los números aumenta en +1.

3-1 = 2

6-3 = 3

10-6 = 4

15-10 = 5

21-15 = 6

28-21 = 7

3 0
3 years ago
Click on the picture to look at some equivalent fractions. Look at them closely. Can you see a relationship of any kind between
Vera_Pavlovna [14]

when you simplify 2/4 it equals 1/2. Making them both equal the same.


2/3 when you double the numbers to make a bigger fraction you make 4/6.

2x2 = 4/ 3x3= /6 = 4/6


3/9 simplified is 1/3. Three goes into three one time, making the top one and three goes into 9 three times making the bottom 3.


When 9/12 is rounded down it is equivalent to 3/4

5 0
3 years ago
Read 2 more answers
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