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anastassius [24]
3 years ago
6

The pressure exerted on the walls of a container by a gas enclosed within it is directly proportional to the temperature of the

gas. If the pressure is 6 pounds per inch when the temperature is 440 F, find the pressure exerted when the temperature of the gas is 380 F?
Mathematics
1 answer:
Inessa [10]3 years ago
3 0

Answer:

Step-by-step explanation:

If y is directly proportional to x, then the formula for that is a linear one:

y = kx, where k is the constant of proportionality.  In our situation, if the pressure is directly proportional to the temp, then our formula is

P = kT.  We need to find that value of k.  Plug in what we have:

6 = k(440) so

k = .01363636 or as an equivalent fraction,

k=\frac{3}{220}

Now that have that value of k, we can use it in the formula again, this time with a different value for T to solve for P.

P=(\frac{3}{220})380 so

P = 5.181818 or as an equivalent fraction,

P=\frac{513}{100}

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Answer:

8r + 9p

Step-by-step explanation:

Combine like terms. Like terms are terms with the same variables as well as the same amount of said variable.

In this case, combine 12p with -3p

8r + 12p - 3p

8r + (12p - 3p)

8r + 9p

8r + 9p is your answer.

~

3 0
3 years ago
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You buy a car in 2017 for $25,000. The value decreases by 16% each year. How much will the car be worth
pychu [463]

Answer:

The appropriate answer is "10,455.29856".

Step-by-step explanation:

According to the question,

The time will be:

⇒  t = 2022-2017

⇒    = 5

On applying formula, we get

⇒ f(t)=25000(1-.16)^t

On substituting the value of "t", we get

⇒ f(5)=25000(1-.16)^5

⇒         =25000(0.84)^5

On solving the power, we get

⇒         =25000\times 0.4182119424

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6 0
3 years ago
Determine the value of x, using the following transversal. The value of x is
GuDViN [60]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

Let's find the value of x :

According to given picture, the angles (x + 75)° and (x + 125)° forms Co interior angle pair.

so,

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7 0
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How to add rational expressions.
timurjin [86]
First, some general rules to remember:

Rational expressions (fractions) can only be added or subtracted if they have a common denominator.
The numerator and denominator of a fraction may be multiplied by the same quantity. This will result in a fraction that is equivalent to the original fraction.
For a fractional answer to be in final form, the fraction must be reduced to lowest terms.
Adding or subtracting rational expressions is a four-step process:

Write all fractions as equivalent fractions with a common denominator.
Combine the fractions as a single fraction that has the common denominator.
Simplify the expression in the top of the fraction.
Reduce the fraction to lowest terms.
To see this process, we'll look at some examples.


Example 1

Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is 2(x+6)(x-6).

Looking at the first fraction, we can see that the factor missing from its denominator is (x-6). In the next step, we'll multiply the top and bottom of the first fraction by (x-6).

Looking at the second fraction, we can see that the factor missing from its denominator is 2. In the next step, we'll multiply the top and bottom of the second fraction by 2.






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.



Step 4: Now we'll reduce the fraction to lowest terms










Example 2



Step 1: To find a common denominator, start by factoring the denominators of both fractions.



The least common denominator of these two fractions is (x+4)(x+1)(x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+3). In the next step, we'll multiply the top and bottom of the first fraction by (x+3).

Looking at the first fraction, we can see that the factor missing from its denominator is (x+4). In the next step, we'll multiply the top and bottom of the first fraction by (x+4).






Step 2: Now that the fractions have the same denominators, we'll create one combined fraction by adding the two fractions together:






Step 3: We'll simplify the top of the fraction. Notice that we are only simplifying the top of the fraction; the bottom of the fraction remains unchanged.










Step 4: Now we'll reduce the fraction to lowest terms

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Answer:

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Step-by-step explanation:

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