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A 1D signal of up to 20,000 samples is considered.
Using data structures specific to simple chained lists, determine the number of zero passes of the signal. The signal goes through 0 if it changes its sign from one sample to another. 0 is not considered a sign change.
The use of STL is prohibited. Any data structure in the STL or function in the STL used will lead to a 0-point solution.
The use of vectors is prohibited. Any static (T V [N]) or dynamic (T * V = new T [N]) vector structure used will lead to the 0 score of the solution.
Input data:
N number of samples signal samples
Output data:
the number of passes through zero
Example:
Input data:
10
1 3 -2 -6 4 10 1 -5 4 1 Output data:
4
Explanation:
There are 4 sign changes between two consecutive samples:
3 -2 -> sign change (first zero crossing)
-6 4 -> sign change (second zero crossing)
1 -5 -> sign change (third zero crossing)
-5 4 -> sign change (fourth zero crossing)

Answers

Answer 1

Answer:

er of passes through zero

Example:

Input data:

10

1 3 -2 -6 4 10 1 -5 4 1 Output data:

4

Explanation:

There are 4 sign changes between two consecutive samples:

3 -2 -> sign change (first zero crossing)

-6 4 -> sign change (second zero crossing)

Explanation:

er of passes through zero

Example:

Input data:

10

1 3 -2 -6 4 10 1 -5 4 1 Output data:

4

Explanation:

There are 4 sign changes between two consecutive samples:

3 -2 -> sign change (first zero crossing)

-6 4 -> sign change (second zero crossing)er of passes through zero

Example:

Input data:

10

1 3 -2 -6 4 10 1 -5 4 1 Output data:

4

Explanation:

There are 4 sign changes between two consecutive samples:

3 -2 -> sign change (first zero crossing)

-6 4 -> sign change (second zero crossing)er of passes through zero

Example:

Input data:

10

1 3 -2 -6 4 10 1 -5 4 1 Output data:

4

Explanation:

There are 4 sign changes between two consecutive samples:

3 -2 -> sign change (first zero crossing)

-6 4 -> sign change (second zero crossing)er of passes through zero

Example:

Input data:

10

1 3 -2 -6 4 10 1 -5 4 1 Output data:

4

Explanation:

There are 4 sign changes between two consecutive samples:

3 -2 -> sign change (first zero crossing)

-6 4 -> sign change (second zero crossing)


Related Questions

Which type of container traps the most heat a shoe box covered in aluminum foil plastic wrap or wax paper?

Answers

The container that traps the most heat is a shoebox covered in aluminum foil.

What is the use of aluminum foil?

An aluminum foil is used for food storage, and to wrap items, such as meats, to minimize moisture loss while cooking.

Aluminum foil is also an excellent insulator. This is due to the fact that it reduces heat emission by reflecting it back.

Therefore, in a shoebox container, the aluminum foil helps to trap most heat better than a plastic wrap or wax paper.

Learn more about aluminum foil here:

https://brainly.com/question/277354

#SPJ2

A single fixed pulley is used to lift a load of 400N by the application of an effort of 480N in 10s through a vertical height of 5m. Determine the V.R, M.A and efficiency of the machine.​

Answers

Answer:

(a) the velocity ratio of the machine (V.R) = 1

(b) The mechanical advantage of the machine (M.A) = 0.833

(c) The efficiency of the machine (E) = 83.3 %

Explanation:

Given;

load lifted by the pulley, L = 400 N

effort applied in lifting the, E = 480 N

distance moved by the effort, d = 5 m

(a) the velocity ratio of the machine (V.R);

since the effort applied moved downwards through a distance of d, the load will also move upwards through an equal distance 'd'.

V.R = distance moved by effort / distance moved by the load

V.R = 5/5 = 1

(b) The mechanical advantage of the machine (M.A);

M.A = L/E

M.A = 400 / 480

M.A = 0.833

(c) The efficiency of the machine (E);

[tex]E = \frac{M.A}{V.R} \times 100\%\\\\E = 0.833 \ \times \ 100\%\\\\ E = 83.3 \ \%[/tex]

A clay sample was consolidated in a triaxial test under an all-around conning pressure of 15 lb/in.2. The sample was then loaded to failure in undrained condition by applying an additional axial stress of 22 lb/in.2. A pore water pressure sensor recorded an excess pore pressure of (Dud)f 5 29 lb/in.2 at failure. Determine the undrained and drained friction angles for the soil

Answers

Answer:

- the undrained friction angles for the soil is 25.02°

- the drained friction angles for the soil is 18.3°

Explanation:

Given the data in the question;

First we determine the major principle stress using the express;

σ₁ = σ₃ + (Δσ[tex]_d[/tex] )[tex]_f[/tex]

where σ₃ is the total minor principle stress at failure ( 15 lb/in² )

(Δσ[tex]_d[/tex] )[tex]_f[/tex] is the deviator stress ( -9 lb/in² )

so

σ₁ = 15 lb/in² + 22 lb/in²

σ₁ = 37 lb/in²

Now, we calculate the consolidated-undrained friction angle as follows;

∅ = sin⁻¹[ (σ₁ - σ₃ ) / ( σ₁ + σ₃ ) ]

∅ = sin⁻¹[ (37 - 15 ) / ( 37 + 15 ) ]

∅ = sin⁻¹[ 22 / 52  ]

∅ = sin⁻¹[ 0.423 ]

∅ = 25.02°

Therefore, the undrained friction angles for the soil is 25.02°

-  The drained friction angles for the soil;

∅ = sin⁻¹[ (σ₁ - σ₃ ) / ( σ₁ + σ₃ - 2(Δσ[tex]_d[/tex] )[tex]_f[/tex] ) ]

so we substitute

∅ = sin⁻¹[ (37 - 15 ) / ( 37 + 15 - 2( -9 ) ]

∅ = sin⁻¹[ 22 / ( 37 + 15 + 18 ) ]  

∅ = sin⁻¹[ 22 / 70 ]

∅ = sin⁻¹[ 0.314 ]

∅ = 18.3°

Therefore, drained friction angles for the soil is 18.3°

When you're running a test bench, you would like to include a printout to the screen to inform yourself on the status of the current simulation. Which command you could use to monitor specific variables or signals in a simulation every time one of the signals changes value?

Answers

Answer:

$Monitor

Explanation:

The command that would be used when running a test bench to monitor variables or signals ( i.e. changes in the values of specific variables and signa)

is the $Monitor command

This command is also used to monitor the varying values of signals during simulation.

IV. An annealed copper strip 9 inches wide and 2.2 inches thick, is rolled to its maximum possible draft in one pass. The following properties of annealed copper are given: strength coefficient is 90,000 psi; true strain at the onset of non-uniform deformation is 0.45; and, engineering strain at yield is 0.11. The coefficient of friction between strip and roll is 0.2. The roll radius is 14inches and the rolls rotate at 150 rpm. Calculate the roll-strip contact length. Calculate the absolute value of thetrue strain that the strip undergoes in this operation. Determine the average true stress of the strip in theroll gap. Calculate the roll force. Calculate the horsepower required.

Answers

Answer:

13.9357 horse power

Explanation:

Annealed copper

Given :

Width, b = 9 inches

Thickness, [tex]$h_0=2.2$[/tex] inches

K= 90,000 Psi

μ = 0.2, R = 14 inches, N = 150 rpm

For the maximum possible draft in one pass,

[tex]$\Delta h = H_0-h_f=\mu^2R$[/tex]

     [tex]$=0.2^2 \times 14 = 0.56$[/tex] inches

[tex]$h_f = 2.2 - 0.56$[/tex]

     = 1.64 inches

Roll strip contact length (L) = [tex]$\sqrt{R(h_0-h_f)}$[/tex]

                                             [tex]$=\sqrt{14 \times 0.56}$[/tex]

                                             = 2.8 inches

Absolute value of true strain, [tex]$\epsilon_T$[/tex]

[tex]$\epsilon_T=\ln \left(\frac{2.2}{1.64}\right) = 0.2937$[/tex]

Average true stress, [tex]$\overline{\gamma}=\frac{K\sum_f}{1+n}= 31305.56$[/tex] Psi

Roll force, [tex]$L \times b \times \overline{\gamma} = 2.8 \times 9 \times 31305.56$[/tex]

                                 = 788,900 lb

For SI units,

Power = [tex]$\frac{2 \pi FLN}{60}$[/tex]  

           [tex]$=\frac{2 \pi 788900\times 2.8\times 150}{60\times 44.25\times 12}$[/tex]

           = 10399.81168 W

Horse power = 13.9357

A large tank, at 500 K and 200 kPa, supplies isentropic air flow to a nozzle. At section 1, the pressure is only 120 kPa. What is the temperature at section 1

Answers

It is hot I do say that
The answer is (c) 0.89

____ are intended to help provide the correct amount of ventilation and also help reduce cooling costs by allowing outside air to be introduced to the conditioned space when conditions are correct

Answers

The answer is Economizers

HELP! It’s for an architecture class on PLATO
Select the correct answer.
Which association maintains the International Building Code?
A. NFPA
B. ICC
C. EPA
D. DOJ

Answers

Answer:

ICC

Explanation:

The International Building Code (IBC) is a model building code developed by the International Code Council (ICC). It has been adopted for use as a base code standard by most jurisdictions in the United States.

Pretty sure the answer is B

A small hot surface at temperature Ti-430K having an emissivity 0.8 dissipates heat by radiation into a surrounding area at T2-400K. If this radiation transfer process is characterized by a radiation heat transfer coefficient h, calculate the value of h (a) 14.4 W/m2.C (b) 114.4 W/m2C (c) 314.4 W/m2.C ( 514.4 W/m2.c

Answers

Answer:

389.6 W/m²

Explanation:

The power radiated to the surroundings by the small hot surface, P = σεA(T₁⁴ - T₂⁴) where σ = Stefan-Boltzmann constant = 5.67 × 10⁻⁸ W/m²-K⁴, ε = emissivity = 0.8. T₁ = temperature of small hot surface = 430 K and T₂ = temperature of surroundings = 400 K

So, P = σεA(T₁⁴ - T₂⁴)

h = P/A = σε(T₁⁴ - T₂⁴)  

Substituting the values of the variables into the equation, we have

h = 5.67 × 10⁻⁸ W/m²-K⁴ × 0.8 ((430 K )⁴ - (400 K)⁴)  

h = 5.67 × 10⁻⁸ W/m²-K⁴ × 0.8 (34188010000 K⁴ - 25600000000 K⁴)  

h = 5.67 × 10⁻⁸ W/m²-K⁴ × 0.8 × 8588010000K⁴

h = 38955213360 × 10⁻⁸ W/m²

h = 389.55213360 W/m²

h ≅ 389.6 W/m²

Air enters a turbine with a stagnation pressure of 900 kPa and a stagnation temperature of 658K, and it is expanded to a stagnation pressure of 100 kPa. Assuming the expansion process is isentropic, determine the turbine power for a mass flow rate of 0.04 kg/s. What does the sign of the calculated power indicate

Answers

Answer:

12.332 KW

The positive sign indicates work done by the system ( Turbine )

Explanation:

Stagnation pressure( P1 ) = 900 kPa

Stagnation temperature ( T1 ) = 658K

Expanded stagnation pressure ( P2 ) = 100 kPa

Expansion process is  Isentropic, also assume steady state condition

mass flow rate ( m ) = 0.04 kg/s

Calculate the Turbine power

Assuming a steady state condition

( p1 / p2 )^(r-1/r)  = ( T1 / T2 )

= (900 / 100)^(1.4-1/1.4) = ( 658 / T2 )

=  ( 9 )^0.285 = 658 / T2

∴ T2 = 351.22 K

Finally Turbine Power / power developed can be calculated as

Wt = mCp ( T1 - T2 )

    = 0.04 * 1.005 ( 658 - 351.22 )

    = 12.332 KW

The positive sign indicates work done by the system ( Turbine )

You will only have two attempts to answer this question correctly. Assuming you determine the required section modulus of a wide flange beam is 200 in3, determine the lightest beam possible that will satisfy this condition.

Answers

Answer:

W18 * 106

Explanation:

Section modulus of wide flange = 200 m^3

Determine the value of the lightest beam possible

The lightest beam possible that will satisfy the given condition will  have a section modulus ≥ 200m^3 ( note: it will also be the nearest to 200 in^3 )

From Beam Table ; The Lightest beam with its section modulus( 204 in^3) > 200in^3  is   W18 * 106

Pie charts should have no more than eight segments. True or False?

Answers

Answer:

Explanation:

Pie charts generally should have no more than eight segments.

No more then 8 segments

The flow between two infinitely flat parallel plates displays a parabolic profile, and is called plane Poiseulle flow.

a. True
b. False

Answers

Answer:

a. True

Explanation:

The study of fluids in a state of rest or in motion and the forces involved in it is called fluid mechanics. Fluid mechanics has a wide range of applications in the field of mechanical engineering as well as civil engineering.

When we study the flow of fluid between any two flat plates that is indefinitely flat and is parallel, the flow of the fluid is known as plane Poiseulle flow. The profile of a plane Poiseulle flow is parabolic.

The velocity profile of a plane Poiseulle flow is :

[tex]$\frac{u(y)}{U_{max}}=1-\left(\frac{2y}{h}\right)^2$[/tex]

Thus the answer is TRUE.

_____ is the set of processes used to get members of an organization to work together to further the interests of the organization.

Answers

Answer:

organizational goals

Explanation:

In a residence, the control of a room's baseboard electric resistance heating system would be accomplished automatically using a?
A. wall-mounted pressure sensor.
B. duct-mounted thermostat.
C. wall-mounted humidity sensor.
D. wall-mounted thermostat.

Answers

Answer:

I think D is the correct answer

Explanation:

hope it is

A square plate of titanium is 12cm along the top, 12cm on the right side, and 5mm thick. A normal tensile force of 15kN is applied to the top side of the plate. A normal tensile force of 20kN is applied to the right side of the plate. The elastic modulus, E, is 115 GPa for titanium. If the left and bottom edges of the plate are xed, calculate the normal strain and elongation of both the TOP and RIGHT side of the plate. Report your answer with proper units and signicant digits.

Answers

Answer:

For the Top Side

- Strain ε  = 0.00021739

- Elongation is 0.00260868 cm

For The Right side

- Strain ε  = 0.00021739

-Elongation is 0.00347826 cm

Explanation:

Given the data in the question;

Length of the squared titanium plate = 12 cm by 12 cm = 0.12 m by 0.12 m

Thickness = 5 mm = 0.005 m

Force to the Top F[tex]_t[/tex] = 15 kN = 15000 Newton

Force to the right F[tex]_r[/tex] = 20 kN = 20000 Newton

elastic modulus, E = 115 GPa = 115 × 10⁹ pascal

Now, For the Top Side;

- Strain = σ/E = F[tex]_t[/tex]  / AE

we substitute

= 15000 / ( 0.12 × 0.005 × (115 × 10⁹) )

= 15000 / 69000000

Strain ε  = 0.00021739

- Elongation

Δl = ε × l

we substitute

Δl = 0.00021739 ×  12 cm

Δl = 0.00260868 cm

Hence, Elongation is 0.00260868 cm

For The Right side

- Strain = σ/E = F[tex]_r[/tex]  / AE

we substitute

Strain = 20000 / ( 0.12 × 0.005 × (115 × 10⁹) )

= 20000 / 69000000

Strain ε = 0.000289855

- Elongation

Δl = ε × l

we substitute

Δl = 0.000289855×  12 cm

Δl = 0.00347826 cm

Hence, Elongation is 0.00347826 cm

A two-bus power system is interconnected by one transmission line. Bus 1 is a generator bus with specified terminal voltage magnitude of |V1| pu. We desire to solve the power flow problem for this system.

a. Identify the variables in the solution vector assuming Bus 2 is a load bus with specified demand as PD pu and QD pu.
b. Identify the variables in the solution vector assuming Bus 2 is a PV bus.

Answers

Answer:

a) | v2 | ,  β2   ( load, bus voltage at bus 2 )

  p1 ,  q1 ( slack, bus power at bus 1 )

b) q2 , β2  

  p1 and q1 ( slack, bus power at bus 1 )

Explanation:

Attached below is a schematic representation of the solution

a) Identify the variables in the solution vector assume Bus 2 is a load bus

The specified parameters are ; P2 and q2

while | v2 | and β2 are not specified

given that bus 2 is a load bus, bus 1 is a slack bus with ; | v1 |  and β1 been specified while p1 and q1 are not specified

Hence the variables in the solution

= | v2 | ,  β2   ( load, bus voltage at bus 2 )

  p1 ,  q1 ( slack, bus power at bus 1 )

b) Identify the variables in the solution vector ( assume Bus 2 is a PV bus )

specified at Bus 2 are ; | p2 | , | v2 |

unspecified : q2 , β2

Bus 1 ( still a slack bus )

specified parameter : | v1 |  and β1

unspecified : p1 and q1

Hence the variables in the solution

= q2 , β2  

  p1 and q1 ( slack, bus power at bus 1 )

A distillation column at 101 kPa is used to separate 350 kmol/h of a bubble point mixture of toluene and benzene into an overhead product with 3 mole % toluene and a bottoms product with 98 mole % toluene. The feed contains 0.45 mole fraction benzene. The overhead reflux occurs at saturation temperature (implies it is total condenser – if it was not, you would have a vapor liquid mixture or a partial condenser akin to a partial reboiler). VLE data for the mixture is given below. An average alpha can be found from the VLE data if solving analytically.

EQUILIBRIUM DATA IN MOLE- FRACTION BENZENE, 101 kPA
y 0.21 0.37 0.51 0.64 0.72 0.79 0.86 0.91 0.96 0.98
x 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 0.95

Required:
a. What are the distillate and bottoms flow rates (D and B)?
b. What is the minimum reflux ratio, Rmin (corresponding to N= infinity)?

Answers

Answer:

A)

  D = 158.42 kmol/h

  B =  191.578 kmol/h

B) Rmin = 1.3095

Explanation:

a) Determine the distillate and bottoms flow rates ( D and B )

F = D + B ----- ( 1 )

Given data :

F = 350 kmol/j

Xf = 0.45 mole

yD ( distillate comp ) = 0.97

yB ( bottom comp ) = 0.02

back to equation 1

350(0.45) = 0.97 D + 0.02 B  ----- ( 2 )

where; B = F - D

Equation 2 becomes

350( 0.45 ) = 0.97 D + 0.02 ( 350 - D )  ------ 3

solving equation 3

D = 158.42 kmol/h

resolving equation 2

B = 191.578 kmol/h

B) Determine the minimum reflux ratio Rmin

The minimum reflux ratio occurs when the enriching line meets the q line in the VLE curve

first we calculate the value of the enriching line

Y =( Rm / R + 1 m ) x   +  ( 0.97 / Rm + 1 )

q - line ;  y =  ( 9 / 9-1 ) x -  xf/9-1

therefore ; x = 0.45

Finally Rmin

=  (( 0.97 / (Rm + 1 ))  = 0.42

0.42 ( Rm + 1 ) = 0.97

∴ Rmin = 1.3095

A hemispherical shell with an external diameter of 500 mm and a thickness of 20 mm is going to be made by casting, located entirely in the upper part of the corresponding mold, with the maximum circle on the partition surface. If the density of the molten metal is 7.2 g / cm3 and the height of the pouring cavity above the partition surface is 300 mm, determine the metallostatic thrust that will be exerted on the upper mold at the end of casting.

Answers

Solution :

Given :

External diameter of the hemispherical shell, D = 500 mm

Thickness, t = 20 mm

Internal diameter, d = D - 2t

                                 = 500 - 2(20)

                                 = 460 mm

So, internal radius, r = 230 mm

                                 = 0.23 m

Density of molten metal, ρ = [tex]$7.2 \ g/cm^3$[/tex]

                                                  = [tex]$7200 \ kg/m^3$[/tex]

The height of pouring cavity above parting surface is h = 300 mm

                                                                                                  = 0.3 m

So, the metallostatic thrust on the upper mold at the end of casting is :

[tex]$F=\rho g A h$[/tex]

Area, A [tex]$=2 \pi r^2$[/tex]

            [tex]$=2 \pi (0.23)^2$[/tex]

            [tex]$=0.3324 \ m^2$[/tex]

[tex]$F=\rho g A h$[/tex]

   [tex]$=7200 \times 9.81 \times 0.3324 \times 0.3$[/tex]

     = 7043.42 N

What is the mass per unit area of an 7 inch by 10 inch lead sheet that weighs 192 gm. ____________g / cm2

Answers

Answer:

M/A = 0.425 g/cm²

Explanation:

Given the following data;

Mass = 192 grams

Dimensions = 7 * 10 inches.

To find the mass per unit area;

First of all, we would determine the area of the lead sheet;

Area = 7 * 10

Area = 70 in²

Conversion:

1 square inch = 6.452 square centimeters

70  inches = 70 * 6.452 = 451.64 square centimeters

Next, we find the mass per unit area;

M/A = 192/451.64

M/A = 0.425 g/cm²

Explain in your own words how standard form can be used to better communicate information in certain scientific or engineering contexts.

Answers

Answer:

Technical communication is a means to convey scientific, engineering, or other technical information.[1] Individuals in a variety of contexts and with varied professional credentials engage in technical communication. Some individuals are designated as technical communicators or technical writers. These individuals use a set of methods to research, document, and present technical processes or products. Technical communicators may put the information they capture into paper documents, web pages, computer-based training, digitally stored text, audio, video, and other media. The Society for Technical Communication defines the field as any form of communication that focuses on technical or specialized topics, communicates specifically by using technology or provides instructions on how to do something.[2][3] More succinctly, the Institute of Scientific and Technical Communicators defines technical communication as factual communication, usually about products and services.[4] The European Association for Technical Communication briefly defines technical communication as "the process of defining, creating and delivering information products for the safe, efficient and effective use of products (technical systems, software, services)".[5]

Whatever the definition of technical communication, the overarching goal of the practice is to create easily accessible information for a specific audience.[6]

If an electrical circuit can operate for 10.0 hours with a 2 Ah battery, what is the average current that the circuit demands?
a. 0.2 amperes.
b. 5 amperes.
c. 2 amperes.
d. 20 amperes.

Answers

Answer:

A

Explanation:

2/10 = 1/5 = 0.2

Select the correct answer.
Which type of material functions as heat shields in space shuttles?
ОА. .
elastomers
OB.
metals
O c.
semiconductors
D.
plastics
E.
composites

Answers

C. Semiconductors.

They are made up of what is called a porous silicon material that is very light and extremely heat resistant.

Answer:

composites

Explanation:

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Others like the feeling of the paper in their hands, while some state they like being able to mark the pages to come back to later.What is a main idea of the passage?A. People have different reading preferences.B. Paper books will soon be discontinued.C. Electronic books are more popular.D. Paper books remain favored with some readers.What is a main idea of the passage? A. People have different reading preferences. B. Paper books will soon be discontinued. C. Electronic books are more popular. D. Paper books remain favored with some readers. Let f(x) = x 5 and g(x) = 3x 7. Find f(x) + g(x).Show your work Gain contingencies usually are recognized in a company's income statement when: Multiple Choice The gain is reasonably possible and the amount is reasonably estimable. The gain is certain The amount is reasonably estimable. The gain is probable and the amount is reasonably estimable.] Extraer del siguiente texto la idea principal, idea secundaria yfiguras literarias presente: simil, humanizacin, metfora,hiprbole, entre otros (cuida los aspecto formales de la escritura.)La batalla de Carabobo fue una de las principales acciones militares de la Guerrade Independencia de Venezuela en el marco de las Guerras de IndependenciaHispanoamericanas que se llev a cabo en el Campo de Carabobo el 24 de juniode 1821, por parte del ejrcito patriota contra el ejrcito real espaol. Esta batallafue decisiva en la liberacin de Caracas el da 29 de junio, as como del resto delterritorio venezolano tras la expulsin definitiva de las tropas espaolas. Laconcentracin patriota se realiz en la ciudad de San Carlos, donde acudieron losejrcitos de Bolvar, parte del de Pez y la divisin del general Rafael Urdaneta.7En total ms de 10.000 hombres. La Torre tena por su parte 50007 a 6300.14 Elejrcito de Oriente, dirigido por Jos Francisco Bermdez realiz una maniobra dedistraccin avanzando sobre Caracas, La Guaira y los Valles de Aragua que obliga La Torre a enviar unos dos batallones de infantera y un escuadrn de caballeraa Barquisimeto en su contra para recobrar las posiciones y asegurar suretaguardia,7 unos mil combatientes.14 El ejrcito de Bolvar avanz de San Carlosa Tinaco cubierto por la avanzada del coronel Jos Laurencio Silva, que tom lasposiciones realistas en Tinaquillo. El 20 atraviesa el ejrcito gran colombiano el roTinaco y el 23 Bolvar pasa revista a sus fuerzas en la sabana de Taguanes. Previoal combate, Miguel de la Torre distribuy sus fuerzas de manera con tal quecubrieran por el oeste el camino de San Carlos, y por el sur el de El Pao. La primeralnea defensiva fue confiada a la Primera Divisin dirigida por el Teniente CoronelToms Garca, la cual se organiz en tres batallones principales. El batalln deValencey a cargo del Teniente Coronel Andrs Riesco, ocup la parte sur delcamino; a su derecha se situ el batalln Hostalrich comandado por el TenienteCoronel Francisco Illas, en columna de marcha detrs de las anteriores. Adems deesto, dos piezas de artillera fueron colocadas en una pequea altura, delante de lalnea formada por el Valancey y el Barbastro. La posicin correspondiente a la vade El Pao fue ocupada por la Divisin de Vanguardia liderada por el BrigadierFrancisco Toms Morales, quien contaba con dos batallones principales y uno dereserva. Primero tom posiciones el batalln ligero del Infante, a cargo del TenienteCoronel Simn Sicilia; e inmediatamente detrs de esta unidad se situ el batallnligero del Prncipe. La reserva qued integrada por el segundo batalln del Burgos,bajo la jefatura del Teniente Coronel Joaqun Dalmar, quien dispona de cuatroregimientos de caballera. En cuanto al cuartel general, el mismo qued establecidocerca del batalln Burgos. The equation y = 7.25x models the amount in dollars, that Lisette earns per hour at her part-time job. The tableshows the amount that Nataly earns at her job.Hours | Total Pay2 - $14.703 - $22.057 - $51.45What is the difference in the amounts earned per hour? Why do you think Riordan has Grover be one of the allies of Percy on this quest? What does Grover's character bring to the quest that helps Percy? Explain and cite evidence to support your idea.