Last question, please help a friend out haha thanks :D

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

3 years ago

The weight distribution of parcels sent in a certain manner is normal with mean of 12 lb and standard deviation of 3 lb. The par

kicyunya [14]

Answer:

21.16

Step-by-step explanation:

Starting from the theory we have the following equation:

$fi*P(x$

Using the data supplied in the exercise, we have subtracting the mean and dividing by the standard deviation:

$P( z \leq \frac{c-1-12}{3.5}) =0.99/fi$

solving for "c", knowing that fi is a tabulating value:

$\frac{c-13}{3.5}=0.99/fi\\\frac{c-13}{3.5}=2.33\\c-13=2.33*3.5\\c = 8.155 +13\\c = 21.155$

therefore the value of c is equal to 21.16

8 0

3 years ago

the pie factory sells an apple pie with a diameter of 16 in. for $10.99. What's the approximate cost per square inch of surface

AURORKA [14]

I'm going to assume the crust covered by the dosenot matter because the total surface area cannot be found without the depth of the pie.

So the surface are is the area of the top of the pie, the top of the pie is circular and is equal to 2 $\pi$ r²

The diameter is the sum of 2 radii, hence r=8

D=12
= 2r =12
r=8

With the raduis the area can be found
A= 2 $\pi$ r²
A=2 $\pi$ 8²
A=2(64) $\pi$
A=128 $\pi$

If the pie cost 10.99, the cost per inch can be found by dividing the area by cost

cost/inch =128 $\pi$ /10.99
cost/inch =11.64 $\pi$
= 11.64(3.14)
= 36.57

The pie costs 36 cents per square inch

5 0

3 years ago

Kevin counts 75 chicks in the hen house. He also sees more chicks outside the hen house. How can Kevin count to find how many ch

stellarik [79]

What we know:

we know that there are <u>75</u> chicks in the hen house, we also know that in all there are 108 chicks

What we need to find:

we need to find out how many chicks were outside

Answer equation:

108 - 75 = 33

8 0

3 years ago

If you pay $43 for a set of Pokémon cards online that were listed for $40 what is the tax percent you were charged

Alex777 [14]

Amount of tax paid = 43-40 = 3

Tax rate = 3/40 = 0.75

0.75 x 100 = 7.5%

Tax rate = 7.5%

3 0

3 years ago