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2 years ago

5 POINTS, 5 STARS, BRAINLIEST, AND THANKS

Mathematics

1 answer:

Aneli [31]2 years ago

6 0

No cause it’s a curved line so it’s not direct

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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 the total cost with tip.

SpyIntel [72]

Answer:

$147

Step-by-step explanation:

so to find 20% I usually divide the original cost by 100 to get 1% then multiply that number by 20.

in this case 122.50/100= 1.225, 1.225x20 = 24.5

24.5 + 122.50 = 147

5 0

2 years ago

(1.2×10^2) + (3.04×10^5)

PSYCHO15rus [73]

(1.2×10^2) + (3.04×10^5)

They must be to the same power to add

3.04 *10^5 to change to the 2nd power (5-2=3) move the decimal 3 places to the right = 3040. * 10^2

1.2 * 10^2 + 3040 *10^2=

add the numbers keep the exponents the same

3041.2 * 10^2

there can only be 1 number before the decimal in scientific notation so we need to move the decimal 3 places to the left, which adds 3 to the exponent

3.0412 * 10 ^ (2+3)

3.0412 * 10^5

8 0

3 years ago

What is .363636 as a fraction

Kay [80]

.363636 as a fraction is 4/11

6 0

3 years ago

Read 2 more answers

Help plsss!!!!! Urgent question now

lbvjy [14]

Answer:

<1 and <3

Step-by-step explanation:

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2 years ago