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2 years ago

Which of these best represents the rate of change in the volume of the gas sample with respect to the temperature

Mathematics

1 answer:

just olya [345]2 years ago

8 0

Answer: 1/12 ml

Step-by-step explanation:

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Need help with my homework

Volgvan

Answer:

$\displaystyle y=\frac{16-9x^3}{2x^3 - 3}$

$\displaystyle y=-\frac{56}{13}$

Step-by-step explanation:

<u>Equation Solving</u>

We are given the equation:

$\displaystyle x=\sqrt[3]{\frac{3y+16}{2y+9}}$

To make y as a subject, we need to isolate y, that is, leaving it alone in the left side of the equation, and an expression with no y's to the right side.

We have to make it in steps like follows.

Cube both sides:

$\displaystyle x^3=\left(\sqrt[3]{\frac{3y+16}{2y+9}}\right)^3$

Simplify the radical with the cube:

$\displaystyle x^3=\frac{3y+16}{2y+9}$

Multiply by 2y+9

$\displaystyle x^3(2y+9)=\frac{3y+16}{2y+9}(2y+9)$

Simplify:

$\displaystyle x^3(2y+9)=3y+16$

Operate the parentheses:

$\displaystyle x^3(2y)+x^3(9)=3y+16$

$\displaystyle 2x^3y+9x^3=3y+16$

Subtract 3y and $9x^3$ :

$\displaystyle 2x^3y - 3y=16-9x^3$

Factor y out of the left side:

$\displaystyle y(2x^3 - 3)=16-9x^3$

Divide by $2x^3 - 3$ :

$\mathbf{\displaystyle y=\frac{16-9x^3}{2x^3 - 3}}$

ii) To find y when x=2, substitute:

$\displaystyle y=\frac{16-9\cdot 2^3}{2\cdot 2^3 - 3}$

$\displaystyle y=\frac{16-9\cdot 8}{2\cdot 8 - 3}$

$\displaystyle y=\frac{16-72}{16- 3}$

$\displaystyle y=\frac{-56}{13}$

$\mathbf{\displaystyle y=-\frac{56}{13}}$

8 0

2 years ago

Help correct get brainly lol

ryzh [129]

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

7 0

2 years ago

Read 2 more answers

Chloe has $15 to spend on pencils. Each box of pencils costs $2. How many

Scorpion4ik [409]

Chloe can buy 7 pencil boxes and have 1 dollar left

3 0

3 years ago

Please help matimatik 10 points

Liono4ka [1.6K]

Answer:

0.03

Step-by-step explanation:

Hope I helped

-Hunter Cross

Please mark Brainliest if Correct

6 0

2 years ago

What is 24 − 6 × 3 + 5x^{2} − (16 ÷ 2)?

Andrew [12]

<span>y=3x^2-30x-7 there u go</span>

5 0

3 years ago