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3 years ago

Which expression is equivalent to (9x2y6)−1/2?

Mathematics

1 answer:

galben [10]3 years ago

8 0

Answer:

B. 1/(3xy^3)

Step-by-step explanation:

The minus sign can be dealt with first, then the root taken.

$\left(9x^{2}y^{6}\right)^{-\frac{1}{2}}=\dfrac{1}{\sqrt{9x^{2}y^{6}}}\\\\=\dfrac{1}{\sqrt{9}\sqrt{x^2}\sqrt{y^6}}=\dfrac{1}{3xy^3}$

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The cost for a ticket at the movie theater is $13. Students get a 9% discount taken off the price of a ticket. How much does the

laila [671]

$11.83 b/c 13.00 x 0.09 = 1.17 13 - 1.17= 11.83

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3 years ago

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

4 years ago

Post-test about graphs need help

Murrr4er [49]

Answer:

O A. $y=\frac{4}{3} x-\frac{1}{3}$

Step-by-step explanation:

To find the equation of the line, we need to know the slope and the y-intercept.

so, let's start by the slope. We need two points given in the graph.

(4, 5) and (-2, -3)

Then use the Slope-Formula to identify the Slope of the line.

m = slope

m = $\frac{y2-y1}{x2-x1}$ Slope Formula

m = $\frac{-3-5}{-2-4}$ subtract the second y from the first y / second x from first x

m = $\frac{-8}{-6}$ Turn the fraction to positive because two negatives = positi-

m = $\frac{8}{6}$ Simplify

m = $\frac{4}{3}$ Final Answer

The slope of the line is $\frac{4}{3}$ now what about the y-intercept?

The y-intercept is located at the y axis.

It determines how many units the graph goes up or down depending...

Well in this case, the y-intercept is negative because it is below on the yaxis

Then we must determine the y-intercept.

so we know is negative but it isn't exactly on a point so it is formed as a fra-

then we can determine it by seeing when it hits another unit (hard explainin)

y-intercept = -1/3

Final Answer: y = $\frac{4}{3} x-\frac{1}{3}$

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3 years ago

The red bus Company Charges 150+72 per hour to rent a bus The blue bus company charges 240+54 per hour for what number of hours

liraira [26]

It will take them 5 Hours to charge the same. The rental charge will be 510.

I did a manual computation per company: My computation is entirely based on trial and error.

Red Bus Co. has a fixed rental rate of 150 and additional rental of 72 per hour while Blue Bus Co. has a fixed rental rate of 240 and additional rental of 54 per hour. Both fixed rental rate are one time charges only and total rental will vary on the number of hours spent in using both vehicles.

Let's start with the Red Bus Co. I will be posting the charges per hour and its running balance. The running balance is the sum.

Fixed Rate 150 Running Balance: 150 => 150 + 0
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Hr 4 72 438 => 366 + 72
Hr 5 72 510 => 438 + 72

I'll do the same process with Blue Bus Co.

Fixed Rate 240 Running Balanc: 240 => 240 + 0
Hr 1 54 294 => 240 + 54
Hr 2 54 348 => 294 + 54
Hr 3 54 402 => 348 + 54
Hr 4 54 456 => 402 + 54
Hr 5 54 510 => 456 + 54

5 0

3 years ago

Read 2 more answers

Move the numbers to the blanks to order them from least to greatest value.

Flura [38]

-0.89, 0.4, 1/2, 9/8, |-2|

7 0

3 years ago

Read 2 more answers