Which unit of measurement should Troy use to describe the weight of a strawberry?

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

You are putting a rectangular hot tub on your back porch. It is 6 feet long, 5 feet wide, and 3 feet deep. How much will it cost

sleet_krkn [62]

It costs $ 3.4 to fill the hot tub

<h3>Solution:</h3>

Given that, You are putting a rectangular hot tub on your back porch

The rectangular hot tub is of shape cuboid

The volume of cuboid is given as:

$\text{Volume of cuboid } = length \times width \times height$

It is 6 feet long, 5 feet wide, and 3 feet deep

Therefore,

length = 6 feet

width = 5 feet

height = 3 feet

Thus volume of rectangular hot tub is:

$volume = 6 \times 5 \times 3 = 90$

Thus volume of rectangular tub is $90 ft^3$

Convert feet to gallons

We know that,

1 cubic feet = 7.48052 gallon

Therefore,

90 cubic feet = 7.48052 x 90 = 673.247

Thus gallons of water tub can hold is 673.247 gallons

Given that it costs $ 5 per 1000 gallons

1000 gallons = $ 5

Therefore,

1 gallons = $ $\frac{5}{1000}$

Find for 673.247 gallons

673.247 gallons = $\frac{5}{1000} \times 673.247 = 3.366235 \approx 3.4$

Thus it costs $ 3.4 to fill the hot tub

5 0

2 years ago

The first decision is a choice between

pantera1 [17]

Answer:

min-mid-max-mid-min

-cosine

Step-by-step explanation:

This is the correct answer, further proof in the file attached.

4 0

3 years ago

Read 2 more answers

Find the slope between the points (2, -10) and (-4, 2). A) 1/4 B) -2 C) 4 D) -1/2

CaHeK987 [17]

Answer:

B) -2

Step-by-step explanation:

m=(y2-y1)/(x2-x1)=(2-(-10))/(-4-2)=(2+10)/-6=12/-6=-2

8 0

2 years ago

NEED HELP FAST!!

Dafna11 [192]

Answer:

see below

Step-by-step explanation:

dilation with a scale factor of 1/3 means the distances to the center shrink by 1/3

so for center (4,-2)

distance of (7,4) is 3 n 6 to center

1/3 of distance = 1 n 2

so (7,4) become (4+1, -2+2) = (5, 0) after the dilation

similarly u can find the other 2 pts

distance of (-2,4) is -6 n 6 to center

1/3 of distance = -2 n 2

so (-2,4) become (4-2, -2+2) = (2, 0) after the dilation

distance of (1, 10) is -3 n 12 to center

1/3 of distance = -1 n 4

so (1,10) become (4-1, -2+4) = (3, 2) after the dilation

plot the new triangle using the 3 pts

8 0

2 years ago