Write the equation that models the linear relationship

Mathematics

1 answer:

Anettt [7]3 years ago

7 0

Answer:

is it degrees

Step-by-step explanation:

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Determine the temperature of 2.6 moles of gas contained in a 5.00-L vessel at a pressure of 1.2atm.

strojnjashka [21]

Answer:

28.108 K.

Step-by-step explanation:

Given: Pressure (P)= 1.2atm

Number of moles (n)= 2.6 moles

Volume (V)= 5.00-L

Now finding the temperature (T).

Formula; T= $\frac{P\times V}{n\times R}$

R is a constant factor which makes other factors work together.

There is a numerical value for R which we use is $0.0821 \times \frac{L.atm}{mole.K}$

∴ Temperature (T)= $\frac{1.2\times 5}{2.6\times 0.0821 \frac{L.atm}{mol.K} }$

⇒ Temperature (T)= $\frac{6}{0.21346} = 28.1083\ K$

∴ Temperature is 28.108 K

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3 years ago

You are buying boxes of cookies at a bakery. Each box of cookies costs 4 dollars. In the equation below, c represents the number

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3 years ago

Frank cut a 52 inch string into 3 pieces. The first piece is 20 inches long. The second piece is at least 12 inches long, but no

Eddi Din [679]

We need to figure out how much string would be left, after taking away the first two pieces.
We know that the first piece is 20 inches long, so we can say that there is 52-20 inches left, or 32 inches.

The second piece is between 12 and 18 inches, meaning that there would be between 32-12 and 32-18 inches left for the third piece, or 20 and 14 inches. This means that the third piece would be at least 14 inches long, but no more than 20, since we don’t have more string than that (20+12+20=52, and 20+14+18=52)

So we can say that x is greater or equal to 14, but less than or equal to 20, or:

14<=x<=20 (“<=“ is written like a normal “<“ sign with a line _ right under it)

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3 years ago

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Helga [31]

The measure of angle J is 19.8°, and the correct option is D.

<h3>What is the formula of cosine?</h3>

The law of cosine or cosine rule in trigonometry is a relation between the side and the angles of a triangle. Suppose a triangle with sides a, b, c and with angles cosC.

The following formula is used to find the angle j is;

$\rm j^2 = h^2 + i^2 -2hicosC$

Triangle HIJ has side lengths h=12, i = 17, j = 7.

Substitute all the values in the formula;

$\rm j^2 = h^2 + i^2 -2hicosJ\\\\(7)^2=(12)^2+(17)^2-2 \times 12 \times 17 cosJ\\\\49=144+289-408cosJ\\\\144+289 -49 =408cosJ\\\\384 =408cosJ\\\\cosJ=\dfrac{384}{408}\\\\cosj = 0.94\\\\J =cos^{-1}(0.94)\\\\J=19.8$