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Karo-lina-s [1.5K]

3 years ago

10

Factor the trinomial below.

1 answer:

ivann1987 [24]3 years ago

6 0

Answer: Choice C. (x-7)(x-8)

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Find two numbers that...
* Multiply to 56 (last term)
* Add to -15 (middle coefficient)

Those two numbers are -7 and -8. So that's why x^2-15x+56 factors to (x-7)(x-8)

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The gas law for an ideal gas at absolute temperature T (in kelvins), pressure P (in atmospheres), and volume V (in liters) is PV

JulijaS [17]

Answer:

$\frac{dT}{dt}=3.78^{\circ}K/min$

Step-by-step explanation:

We have to calculate the time derivative of T=PV/nR with P and V variable and n and R constants. This is:

$\frac{dT}{dt} =\frac{d\frac{PV}{nR}}{dt}=\frac{1}{nR}\frac{d(PV)}{dt}$

What we have to do is the derivative of a product:

$\frac{d(PV)}{dt}=P\frac{dV}{dt}+V\frac{dP}{dt}$

Substituting, we have:

$\frac{dT}{dt} =\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}$

where all these values are given since the time derivatives of P and V are their variation rate, using minutes.

We then substitute everything, noticing that already everything is in the same system of units so they cancel out:

$\frac{dT}{dt}=\frac{P\frac{dV}{dt}+V\frac{dP}{dt}}{nR}=\frac{(8atm)(0.16L/min)+(13L)(0.14atm/min)}{(10mol)(0.0821Latm/mol^{\circ}K)}$

And then just calculate:

$\frac{dT}{dt}=3.78^{\circ}K/min$

6 0

3 years ago

Two boats started to move towards each other from two boat stations, located 30 miles apart. One boat moved at a speed of 3 mile

Ganezh [65]

Answer: <u>3 hours and 20 minutes</u>

Step-by-step explanation:

3x + 2(3)x = 30

3x + 6x = 30

9x = 30

9/9 = 30/9

x = 3 1/3 hours

6 0

2 years ago

To be able to do the problem 5(10 + 4) mentally, Zack does 50 + 20 instead of 5(14).

Maurinko [17]

He used distributive property

7 0

3 years ago

This is my 3 question please answer it

balu736 [363]

Answer:

A

Step-by-step explanation:

Hope it helps!

4 0

2 years ago

What type of function is represented in the table?

Fynjy0 [20]

I am pretty sure it linear

6 0

2 years ago