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3 years ago

When the volume of a gas is

Mathematics

1 answer:

Fudgin [204]3 years ago

3 0

Answer: The initial volume is 593.76mL

Step-by-step explanation:

As you do not say anithing about the pressure, i guess that the pressure remains constant.

If the gas is an ideal gas, we have:

P*V = n*R*T

where P is pressure, n is number of moles and R is a constant.

Now, initially we have:

P*Vi = n*R*315°C

finally we have:

P*825mL = n*R*452°C

Now we can take the quiotient of those two equations and get:

(P*Vi)/(P*852mL) = (n*R*315°C)/( n*R*452°C)

Now we have:

Vi/852mL = 315/452

Vi = (315/452)*852mL = 593.76mL

So when we expand the gas at constant pressure, we increase the temperature.

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Using the completing-the-square method, rewrite f(x) = x2 + 10x + 7 in vertex form

mr Goodwill [35]

Answer:

f(x) = (x - (-5))^2 + (-18)

Step-by-step explanation:

Given:

f(x) = x^2 + 10x + 7

Rewrite f(x) in vertex form

Solution:

f(x) = ax^2 + bx + c is a quadratic function.

The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.

=> f(x) = x^2 + 10x + 7

= x^2 + 10x + 25 - 18

= (x + 5)^ - 18

= (x - (-5))^2 + (-18)

=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18

6 0

3 years ago

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat

aliina [53]

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

Cost of concert tickets for general admission= $15

Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

Get the x-intercept.

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

Get the y-intercept.

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

7 0

2 years ago

Marissa's Fashions purchases designer boots from a manufacturer for $50.88 per pair. Marissa then adds a certain amount to the p

KATRIN_1 [288]

Answer:

Markup of _66.67_ % or $ _33,92_ per pair of boots

Step-by-step explanation:

In order to find the markup per pair of boots, we need to find the sales price BEFORE tax.

That can be done simply with a cross-multiplication (106.25 represents total price with 6.25% tax, and 100 represent amount of sales before tax)

$\frac{90.10}{106.25} = \frac{x}{100}$

if we isolate x we have x = (90.10 * 100) / 106.25 = $84.80

We can then easily calculate the markup amount, since the boots were sold $84.80 and Marissa paid $50.88, that means her markup amount is $33.92.

Now, let's calculate the markup percentage by see how much $33.92 represents compared to the initial price of $50.88:

$33.92 / $50.88 = 66.67%

6 0

3 years ago

The sum of two numbers is 30. one number is 12 more than the second number. what are the two numbers

astraxan [27]

Answer:

18 and 12

Step-by-step explanation:

4 0

3 years ago

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11 The cost of petrol is £1.32 per litre. The price is reduced by 6%. Work out the new price. Give your answer to the nearest pe

Ivahew [28]

Answer:

The new price is $/£1.25

Step-by-step explanation:

8 0

2 years ago