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Yakvenalex [24]
3 years ago
9

A sports team donates 252 tickets to a sporting event, with tickets to be shared equally among 9 classrooms. How many tickets do

es each classroom receive?
Mathematics
1 answer:
Tcecarenko [31]3 years ago
8 0

Answer:

28 tickets

Step-by-step explanation:

252/9=28

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coldgirl [10]

With the given order of integration, the interval over D is

\displaystyle \iiint_D f(x,y,z) \, dV = \int_{-3}^{3} \int_{-\sqrt{9-x^2}}^{\sqrt{9-x^2}} \int_{-\sqrt{9-x^2-z^2}}^{\sqrt{9-x^2-z^2}} f(x,y,z) \, dy \, dz \, dx

8 0
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
Write an algebraic expression for the word phrase 8 times the product of Drag the word to the description it matches. Each word
yawa3891 [41]

Answer:

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Leviafan [203]

Answer:

$61.17

Step-by-step explanation:

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The graph shows the data points in the table and the exponential regression model associated with the data ?
Orlov [11]

Answer:

Option: A is the correct answer.

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Step-by-step explanation:

Clear;y from the scatter plot we could observe that with the increasing value of one variable the other variable is decreasing.

Hence, The number of weeds is decreasing.

Also as we could see that the line of best fit is a curve and not a line Hence, the number of weeds are not decreasing by a additive rate  ( since the rate or a slope of a line is constant) it is decreasing by a multiplicative rate.

<em>Based on the graph of a regression model:</em>

<em>Option: A is correct.</em>

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