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jarptica [38.1K]
2 years ago
10

Need help ASAPPPP!!?

Mathematics
1 answer:
ddd [48]2 years ago
3 0

Answer:

alternate 2 and 7

corresponding 6 and 8

alternate exterior 1 and 8

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The volume V of a gas varies inversely as the pressure P and directly as the temperature A certain gas has a volume of 10 liters
Ad libitum [116K]

Answer:

Joint variation states that:

If z is directly proportional to x and inversely proportional to y,

i.e, z \propto x , z \propto \frac{1}{y}

then the equation is in the form: z = k\frac{x}{y} where k is the constant of variation.

From the given information: The volume V of a gas varies inversely as the pressure P and directly as the temperature

i.,e V \propto T , V \propto \frac{1}{P}

by definition of joint variation:

V = k\frac{T}{P}  .....[1] where k is the constant of variation.

It is also given that a certain gas has a volume of 10 liters(L) , a temperature of 300 kelvins(K), and a pressure of 1.5 atmosphere(atm).

Substitute these given values in [1] to solve for k;

10 = k\frac{300}{1.5}

Simplify:

10 = 200k

Divide by 200 both sides we have;

k = \frac{10}{200} =\frac{1}{20}

Now, if a gas has a temperature of 400 kelvins and a pressure of 5 atm.

To find the volume (V);

Now substitute the given data and value of k in [1] we have;

V = \frac{1}{20} \cdot \frac{400}{5} = \frac{20}{5} = 4

Therefore, the Volume of a gas is, 4 liters


5 0
2 years ago
If we transform y=x^2 by 5 units to the left and 8 units ups, what is the vertex of the resulting parabola?
sertanlavr [38]

Answer: y = (x + 5)² + 8

<u>Step-by-step explanation:</u>

y = x²

left 5 units:       y = (x + 5)²

up 8 units:        y = (x + 5)² + 8

7 0
3 years ago
Read 2 more answers
The members of the basketball team ordered 5 tuna sandwiches at $3.99 each, 5 fish tacos at $2.75 each, 3 salads at $2.70 each,
Oliga [24]

Firstly, $3.99 × 5 = $19.95

Second, $2.75 × 5 = $13.75

Third, $2.70 × 3 = $8.1 (Since it is just $8.1 that won't make sense so we'd add a 0 so It's $8.10.)

Then we do the last one which is 13 × $0.89 = $11.57.

So now since we are done multiplying we can add it all up.

The answer is $53.37 when we finish adding it up.

and I don't know what A number sentence is sorry :(

I took a long time typing this :< I hope this helps though! :D

7 0
2 years ago
Determine the domain of the function.
Dafna1 [17]
We are given with a verbal phrase of a function<span> of x is equal to the square root of x plus one divided by x plus four times x minus six. 

This is expressed as f(x) = </span>√(x) + 1/x + 4x - 6 
the domain are values which include only natural numbers because of the square root sign. answer is D. <span>x ≥ 0</span>
4 0
2 years ago
Plsss help will give a good amount of points, need done asap
Alex
4+2i because you can’t have a negative square root
7 0
3 years ago
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