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alexandr1967 [171]
3 years ago
12

Given P space equals space P subscript 0 space plus space rho g h, your objective is to determine the uncertainty of P by measur

ing P subscript 0 comma space rho comma space g space and space h , What is the expression for capital delta P subscript g , that is, the g's contributing term for the overall uncertainty of P
Mathematics
1 answer:
son4ous [18]3 years ago
8 0

Answer:

the g's contributing term for the overall uncertainty of P is  dP_g =  [\frac{dg}{g}]

Step-by-step explanation:

From the question we are told that

   The pressure is   P  = P_o + \rho gh

The first step in determining the uncertainty of P in by obtaining the terms in the equation contributing to it uncertainty and to do that we take the Ln of both sides of the equation

    ln P  = lnP_o + ln(\rho gh )

=>   ln P  = lnP_o + ln \rho + ln g  + ln h

Then the next step is to differentiate both sides of the equation

    \frac{d(ln P)}{dP}  =  \frac{d(ln P_o)}{dP_o} + \frac{d(ln \rho)}{d\rho} +\frac{d(ln g)}{dg} + \frac{d(ln h)}{dh}

=>    \frac{dP}{P}  =  \frac{dP_o}{P_o} + \frac{d \rho}{\rho} +\frac{d g}{g} + \frac{d h}{h}

We asked to obtain the contribution of the term g to the uncertainty of P

This can deduced from the above equation as

     dP_g =  [\frac{dg}{g}] P

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Answer:

20

Step-by-step explanation:

10+10+10+10=40

40/2=20

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3 years ago
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The base of a pyramid has n sides. Write and expression for the number of faces of the pyramid
11111nata11111 [884]

Remark

The number of faces reaching out in the 3rd dimension of the pyramid = the number of edges on the base.

Givens

Number of edges (or sides on the base)= e

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Formula

F = e + 1 Don't forget that the base is also a face.

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2 years ago
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The principal P is borrowed at a simple interest rate are for a period of time T. Find the loans future value A, or the total am
Xelga [282]

Answer:

The total amount due after five years is $57,000.

Step-by-step explanation:

Recall that simple interest is given by the formula:

\displaystyle A=P(1+rt)

Where <em>A</em> is the final amount, <em>P</em> is the principal amount, <em>r</em> is the rate, and <em>t</em> is the time (in years).

Since we are investing a principal amount of $38,000 at a rate of 10.0% for five years, <em>P</em> = 38000, <em>r</em> = 0.1, and <em>t</em> = 5. Substitute:

\displaystyle A=38000(1+(0.1)(5))

Evaluate. Hence:

\displaystyle A=\$ 57,000

The total amount due after five years is $57,000.

4 0
2 years ago
Imaginen que un maratonista corre toda una carrera a una velocidad constante. Después de dos horas lleva recorridos 22 km
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For this case we have:

If after 2 hours the marathon runner has traveled 22 kilometers we have:

2h -----------> 22km

Applying a rule of three, we can know the time it takes to run 42km. So, we have:

2h -----------> 22km

x -------------> 42km

Where "x" is the time it takes to travel 42km. Resolving we have:

x = \frac {(42 * 2)} {22}

x = \frac {84} {22}

x = \frac {42} {11}

x = 3.82 hours

Thus, after 3.82 hours the marathon runner will travel 42km.

Answer:

3.82 hours


6 0
3 years ago
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