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soldi70 [24.7K]
3 years ago
10

-5/2n-5 + 2n/2n-5. Step by step explanation??

Mathematics
1 answer:
raketka [301]3 years ago
8 0
Hskaiwjqoqpqkkqiqqoqoqo

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570 Mr.Monkay :D

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Which of the following pairs of functions are inverses of each other?
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I  think its B

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I feel like something is wrong, is there?
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Answer:

# 4 (-5,2) should be placed one more place to the right

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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
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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 base and the height of a triangle are multiplied by 5/4. Which of the following describes the
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Answer:

The option that describe the effect of the change is;

  • The perimeter is multiplied by 5/4

Step-by-step explanation:

The parameters from the question are;

The (scale) factor by which the base and the height of the triangle are multiplied = 5/4

By the constant proportion of their sides, the triangle before and the triangle obtained after the multiplication are similar

Let 'a' and 'b' represent the length of the base and the height of the triangle respectively, we have;

The area of the triangle, A₁ = 1/2 × a × b = a·b/2

With the application of the scale factor of 5/4, we have;

The area of the scaled triangle, A₂ = 1/2 × (5/4) × a × (5/4) × b = (5/4)² × a·b/2

Therefore, the scale factor of the area = (5/4)²

The scale factor of the perimeter = √(The scale facto of area)

∴ The scale factor of the perimeter = √(5/4)² = (5/4)

The scale factor of the perimeter = (5/4)

Therefore, the perimeter of the scaled triangle is obtained by multiplying the perimeter of the initial triangle by (5/4).

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