How can the decimal shown be written as a fraction?

Sketch the quadratic function ƒ(x) with a vertex at (–1, 2) and the points (0, 0) and (–2, 0). Which statement describes the par

Andrei [34K]

Answer:

Use this Formula m= y2 - y1 / x2-x2

Than find rise and run and graph it

Step-by-step explanation:

7 0

3 years ago

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A gas is said to be compressed adiabatically if there is no gain or loss of heat. When such a gas is diatomic (has two atoms per

Tems11 [23]

Answer:

The pressure is changing at $\frac{dP}{dt}=3.68$

Step-by-step explanation:

Suppose we have two quantities, which are connected to each other and both changing with time. A related rate problem is a problem in which we know the rate of change of one of the quantities and want to find the rate of change of the other quantity.

We know that the volume is decreasing at the rate of $\frac{dV}{dt}=-4 \:{\frac{cm^3}{min}}$ and we want to find at what rate is the pressure changing.

The equation that model this situation is

$PV^{1.4}=k$

Differentiate both sides with respect to time t.

$\frac{d}{dt}(PV^{1.4})= \frac{d}{dt}k\\$

The Product rule tells us how to differentiate expressions that are the product of two other, more basic, expressions:

$\frac{d}{{dx}}\left( {f\left( x \right)g\left( x \right)} \right) = f\left( x \right)\frac{d}{{dx}}g\left( x \right) + \frac{d}{{dx}}f\left( x \right)g\left( x \right)$

Apply this rule to our expression we get

$V^{1.4}\cdot \frac{dP}{dt}+1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}=0$

Solve for $\frac{dP}{dt}$

$V^{1.4}\cdot \frac{dP}{dt}=-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}\\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot V^{0.4} \cdot \frac{dV}{dt}}{V^{1.4}} \\\\\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}$

when P = 23 kg/cm2, V = 35 cm3, and $\frac{dV}{dt}=-4 \:{\frac{cm^3}{min}}$ this becomes

$\frac{dP}{dt}=\frac{-1.4\cdot P \cdot \frac{dV}{dt}}{V}}\\\\\frac{dP}{dt}=\frac{-1.4\cdot 23 \cdot -4}{35}}\\\\\frac{dP}{dt}=3.68$

The pressure is changing at $\frac{dP}{dt}=3.68$ .

7 0

3 years ago

Find a formula for the sun S of any three consecutive odd number?

bixtya [17]

Answer:

Let first no. be x

Therefore,

2nd no. is x+1

Third no. is x+2

SUM OF NO.'s=x+x+1+x+2

S=3x+3

S=3(x+1)

8 0

3 years ago

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Tabby read 254 pages in 8 days. What is her unit rate in pages per day?

Agata [3.3K]

Answer:

31.75 round it off to 32 pages per day

Step-by-step explanation:

254/8=31.75 but you cant but a decimal so its 32

5 0

2 years ago

The answer for this math problem

laiz [17]

Hi, We have a isosceles triangle.

Then,

There is two angles = (2x +2)°

As the sum of angles = 180° To the any triangle.

Then we wiil stay with:

(2x+2)° + (2x+2)° +(3x+1)° = 180°

Canceling °

2x+2+2x+2+3x+1=180

7x +5 = 180

7x = 180-5

7x = 175

Passing 7 dividing 175

x = 175/7

x = 25

This would be your answer!

7 0

2 years ago