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3 years ago

1. It refers to the size of a surface. What is it?

1 answer:

6 0

Area of course also just a reminder Area is measured in square units such as square centimteres, square feet, square inches, etc

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When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f

valkas [14]

Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

$V\propto \frac{1}{P}$

We can rewrite the above equation is

$\frac{V_1}{V_2}=\frac{P_2}{P_1}$ [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

$V_1$ = 93 cubic inches, $P_1$ = 14 pounds per square inches,

$V_2$ =31 cubic inches, $P_2$ = ?

$\frac{V_1}{V_2}=\frac{P_2}{P_1}$

$\Rightarrow \frac{93}{31}=\frac{P_2}{14}$

$\Rightarrow \frac{P_2}{14}=\frac{93}{31}$

$\Rightarrow {P_2}=\frac{93}{31}\times 14$

$\Rightarrow {P_2}=42$ pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

4 0

4 years ago

Find the solution of the differential equation that satisfies the given initial condition. dy/dx=x/y , y(0)=-1

Charra [1.4K]

Separating variables, we have

$\dfrac{dy}{dx} = \dfrac xy \implies y\,dy = x\,dx$

Integrate both sides.

$\displaystyle \int y\,dy = \int x\,dx$

$\dfrac12 y^2 = \dfrac12 x^2 + C$

Given that $y(0)=-1$ , we find

$\dfrac12 (-1)^2 = \dfrac12 0^2 + C \implies C = \dfrac12$

Then the particular solution is

$\dfrac12 y^2 = \dfrac12 x^2 + \dfrac12$

$y^2 = x^2 + 1$

$y = \pm\sqrt{x^2 + 1}$

and because $y(0)=-1$ , we take the negative solution to accommodate this initial value.

$\boxed{y(x) = -\sqrt{x^2+1}}$

7 0

2 years ago

John joined a gym for 6 months. He pays 20$ per month plus a membership fee. If his bill is 150$, what was the membership fee?

Jlenok [28]

Answer:

Step-by-step explanation:

If he's been at the gym for 6 months, and he is charged $20 each month, then he has paid $120 dollars, not counting his membership fee. His total bill is $150.

150-120= $30

His membership fee was $30.

Hope this helps!

Mark Brainliest plz!

3 0

3 years ago

Read 2 more answers

Brilliant question!!!!

avanturin [10]

Answer:

a) 21

b) 78.5 - 28.3 - 12.57 = 37.63

Step-by-step explanation:

For the triangle, you want to use the formula 1/2 base times height and then subtract 2 time 2. For the circle, the formula is pi times the radius squared. Then, subtract the other circles using the same formula. I hope this helps! Please mark me brainliest because I have been scammed many times. Please and thank you.

6 0

3 years ago

Read 2 more answers

At rolling hills middle school, the ratio of the total number of students to the number of students with pets is 3 to 1. If ther

Roman55 [17]

3/1 = 243/x
243 = 3x
81 students

5 0

3 years ago