A plant expansion is planned for City of Beaumont. The new design flow rate is 1.2 m³/s. A deep bed monomedia filter with a design loading rate of 575 m³/d. m² of filter is to be used. If each filter box is limited to 50 m² of surface area, how many filter boxes will be required? Check the design loading with one filter box out of service. Propose an alternative design if the design loading rate is exceeded with one filter box out of service.
One filter box will be required for the plant expansion, but an alternative design needs to be proposed if the design loading rate is exceeded with one filter box out of service.
To determine the number of filter boxes required, we need to calculate the total surface area required and divide it by the maximum surface area per filter box.
Calculate the total surface area required:
Total surface area = Design flow rate / Design loading rate
Total surface area = 1.2 m³/s × 24 × 3600 s / (575 m³/d × 1 d/24h)
Total surface area = 18.67 m²
Determine the number of filter boxes required:
Number of filter boxes = Total surface area / Maximum surface area per filter box
Number of filter boxes = 18.67 m² / 50 m²
Number of filter boxes = 0.37 (round up to the nearest whole number)
Number of filter boxes = 1 (since we cannot have a fraction of a filter box)
Therefore, one filter box will be required to meet the design loading rate.
To check the design loading with one filter box out of service, we need to recalculate the loading rate:
Calculate the new design loading rate:
New design loading rate = Design flow rate / (Number of filter boxes - 1)
New design loading rate = 1.2 m³/s / (1 - 1)
New design loading rate = Undefined
Since the new design loading rate is undefined when one filter box is out of service, an alternative design should be proposed to ensure that the design loading rate is not exceeded. This could involve increasing the number of filter boxes or redesigning the filtration system to accommodate the required flow rate.
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calculate the frequency of a wave with a period 0,2s
Answer:
The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.
Explanation:
The frequency of a wave is the number of times the wave oscillates or cycles in a given period of time. The period of a wave is the time it takes for the wave to complete one cycle.
The period of the wave is given as 0.2 seconds. To calculate the frequency, we can use the formula:
Frequency (f) = 1 / period (T)
So in this case:
f = 1 / 0.2 seconds
The frequency of the wave is 5 Hz (Hertz), which means it oscillates or cycles 5 times in one second.
Formula for frequency:
\(f=\dfrac{1}{T}\)
frequency(measured in Hertz) = 1 / period(measured in seconds)
__________________________________________________________
Given:
\(T=0.2s\)
\(f=?\)
__________________________________________________________
Finding frequency:
\(f=\dfrac{1}{T}\)
\(f=\dfrac{1}{0.2}\)
__________________________________________________________
Answer:
\(\fbox{f = 5 Hertz}\)
Given the graph below, the resistance of the wire in Ohms is:
a 0.25
b 4
c 3.75
d 0
Answer:
C . 3.75 Ohms
Explanation:
V = IR
R = V / I
From the graph, you pick a value for potential difference and find its corresponding current.
The resistance of the wire in Ohms is 3.75 Ω, therefore the correct answer is option C
What is resistance?Resistance is the obstruction of electrons in an electrically conducting material.
The mathematical relation for resistance can be understood with the help of the empirical relation provided by Ohm's law.
V=IR
where V is the voltage
I is the current
From the voltage-current graph, one can know the resistance by calculating the slope of the graph
As shown in the graph the variation of the voltage with the current
Y axis represents the voltage and the X axis represents the current
slope = variation in the Y coordinate /variation in the X coordinate
resistance = variation in the voltage /variation in the current
= (30 - 0 )/ (8-0 )
= 3.75 Ω
Thus, by observation and calculation from the graph, the resistance of the wire comes out to be 3.75 Ω
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Find Acceleration 10:55 to 11:05 in kmph
Considering the table the acceleration is 2.72 Km/hr
What is acceleration?Acceleration is defined as the rate of change of velocity with respect to time.
This means that if an object's velocity changes by a certain amount over a certain period of time, then the object is said to have experienced acceleration during that time.
The formula is
= Final velocity - initial velocity / time taken
plugging in the values
= (65 - 60) / (11:55 - 10:05)
= 5 / 1:50
converting 50 minutes to hour = 50 / 60
= 5 / 1 50/60
= 2 6/11
= 2.72 Km/hr
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Use these images to identify each state of matter. O O CC 0 COM A B C
Answer:
A=Gas
B= Solid
C=Liquid
Explanation:
A gas has the particles dispersed everywhere
so A is the gas
Liquid and Solid have them more close together
but the solid has them in some order
so as you can see
B is solid
and
C is liquid
How can a small boy balance a big boy
on asea- saw ? Show with a diagram
Answ
— How can a small boy balance a big boy on a sea-saw? Show with a diagram. fast please...... Get the answers you need, now!
2 answers
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Explanation:
A student pushed a book with a mass of 1kg across a desk with an acceleration of 0. 5m/s2, a distance of 20m for two and a quarter minutes. Provide the force, work, and power the student applied, did, and has
The required force is calculated to be 0.5 N, work is 10 J and power is 0.074 Watt.
The mass of the book is given as 1 kg.
The acceleration of the book is given as 0.5 m/s².
The distance moved by the book is given as 20 m.
The time taken to move the book is given as 2 1/4 minutes = 9/4 minutes.
The force applied on the book is given as,
F = m a = 1 × 0.5 = 0.5 N
where,
F is force
m is mass
a is acceleration
The expression for work is known to be,
W = F . s = 0.5 × 20 = 10 J
where,
W is work
s is distance
The relation for power is known to be,
P = W/t = 10/(9/4 × 60) = 0.074 Watt
where,
P is power
t is time
Thus, the force is 0.5 N, work is 10 J and power is 0.074 Watt.
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F. A 50. A resistor (R2), and unknown resistor R2, a 120 Volt source, and an ammeter are connected in a
complete circuit. The ammeter reads 0.50 ampere (current).
R1
a. Determine the resistance of Rz.
R2
Complete question is;
A 50.-ohm resistor, an unknown resistor R, a 120-volt source, and an ammeter are connected in a complete circuit. The ammeter reads 0.50 ampere.
A) Calculate the equivalent resistance of the circuit shown.
B) Determine the resistance of resistor R shown in the diagram.
Answer:
A) R_eq = 240 Ω
B) R = 190 Ω
Explanation:
A) To get the equivalent resistance, we will use the formula;
R = V/I
Where;
V is Voltage
I is current
R is equivalent resistance
From the question, V = 120 V and I = 0.5A
Thus;
R_eq = 120/0.5
R_eq = 240 Ω
B) From the image, we see that the resistors are connected in series.
Formula for resistors in series is;
R = R1 + R2 +..... Rn
Thus;
240 = 50 + R
R = 240 - 50
R = 190 Ω
A) The equivalent resistance of the circuit shown will be 240 Ω.
B) The resistance of resistor R will be 190 Ω
What is resistance?Resistance is a type of opposition force due to which the flow of current is reduced in the material or wire. Resistance is the enemy of the flow of current.
The given data in the problem is;
R is the resistance = 50.-ohm
v is the voltage = 120-volt source
I is the value of the current =0.50 ampere.
A) The equivalent resistance of the circuit shown will be 240 Ω.
According to ohm's law
\(\rm R= \frac{V}{I} \\\\ \rm R= \frac{120}{0.5} \\\\ \rm R=240 \ ohm\)
Hence the equivalent resistance of the circuit shown will be 240 Ω.
B) The resistance of resistor R will be 190 Ω
The given resistors are connected in the series;
R = R1 + R2 +..... Rn
240 = 50 + R
R = 240 - 50
R = 190 Ω
Hence the resistance of resistor R will be 190 Ω
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FILL IN THE BLANK. stellar masses can be determined by observing __________ systems.
Stellar masses can be determined by observing binary systems. Option A is the correct answer.
Astronomers refer to a star's mass as stellar mass when describing it. It is often represented as a percentage of the Sun's mass as a solar mass. By examining the orbits of binary stars—two stars orbiting a single mass center—it is possible to estimate the masses of stars. Option A is the correct answer.
A spectroscopic binary can only be viewed by looking at the spectrum, as opposed to visual binaries where the two stars may be seen independently through a telescope. Planets are objects in which nuclear reactions cannot occur. The mass-luminosity connection states that most of the time, the most massive stars are also the most brilliant.
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The complete question is, "Stellar masses can be determined by observing __________ systems.
A. binary
B. spectroscopic"
Stellar masses can be determined by observing binary star systems.
When it comes to determining the masses of stars, one method is to observe binary star systems. Binary star systems consist of two stars that orbit around a common center of mass. By studying the motion of these stars, scientists can calculate their masses.
This is possible because the gravitational force between the two stars depends on their masses and the distance between them. By measuring the orbital period and the separation of the stars, astronomers can use Kepler's laws of motion and Newton's law of universal gravitation to determine their masses.
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Fill the blank.
Energy is ____ changing from one form to another in the world.
Answer:
Matter
Explanation:
As one moves away from a positive point charge, the electric potential:________
As one moves away from a positive point charge, the electric potential: decreases due to (r) is getting bigger
As the radius between the charges becomes larger the electric potential decreases because the relationship between the two is inversely proportional.
The electric potential formula is:
Ep = (k * q1 * q2)/r
Where:
Ep = electric potential energyk = coulomb constantq1 = charge 1q2 = charge 2r = separation distance of the chargesWhat is electrical potential?In physics the electric potential energy is the energy possessed by an electric charge in reference to another existing electric charge separated by a distance called (r). Its unit of measurement in the international system is the Joule.
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Which elements should form an ionic bond
what will happen if the positive and negative connections on the voltmeter are reversed?
PLEEEEASE HELP ME PLEASE WILL GIVE BRAINLIEST
How do you find the magnitude and direction of displacement?.
Calculate the inverse tangent of the ratio of the displacement components in the y and x directions to determine the direction of the displacement vector. The magnitude of displacement is equal to the distance covered in a given interval of time if the particle moves at a constant or variable velocity in the same direction, because if it changes direction, the magnitude of displacement changes and does not remain equal to the distance covered.
A quantity with magnitude and direction must also follow certain combination rules in order to qualify as a vector. Vector addition, denoted symbolically as A + B = C, is one of these (vectors are conventionally written as boldface letters). Geometrically, the vector sum can be visualized by placing the tail of vector B at the head of vector A and drawing vector C so that it completes the triangle (starting from the tail of A and ending at the head of B). If A, B, and C are vectors, then it must be possible to reverse the operation and achieve the same result (C), B + A = C. This property (commutative law) is shared by quantities such as displacement and velocity, but there are some that do not (for example, finite rotations in a circle).
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The human ear canal is, on average, 2.5cm long and aids in hearing by acting like a resonant cavity that is closed on one end and open on the other. The length of the ear canal is partially responsible for our sensitivities to certain frequencies. Use 340m/s for the speed of sound when performing the following calculations.a. What is the first resonant frequency?b. What is the wavelength at second resonance?
Answer:
To calculate the resonant frequency and the wavelength in the ear canal, the formulas for closed cavity resonances can be used:
a. First resonant frequency:
The resonant frequency f n can be calculated from the length l of the ear canal and the speed of sound v as follows:
fn = nv / 4l
where n is an integer representing the number of resonances. For the first resonance (n = 1), the resonant frequency can be calculated as:
f 1 = v / 4l = (340 m/s) / (4 * 2.5 cm) = 272,000 Hz
b. Wavelength at second resonance:
The wavelength λ of the resonant frequency can be calculated from the frequency and speed of sound:
λ = v/f
For the second resonance (n = 2), the resonant frequency is:
f 2 = 2v / 4l = 2 * 272,000 Hz = 544,000 Hz
and the wavelength can be calculated as:
λ 2 = v / f 2 = (340 m/s) / 544,000 Hz = 0.00063 m = 6.3 mm
These calculations are approximate and may vary depending on the shape and acoustic properties of the ear canal.
Annie enjoys going to the beach to look for shells. On Saturday, she found 4 times as many shells as she found on Sunday.If Annie found 21 more shells on Saturday than on Sunday, how many shells did she find altogether over the weekend?
Given
On Saturday, she found 4 times as many shells as she found on Sunday.
Saturday = 4*Sunday
Saturday = 21 + Sunday
Two system equations, now we can solve:
4*Sunday = 21 + Sunday
3*Sunday = 21
Sunday = 7 Shells
Saturday = 28 Shells
Total = 35 Shells
Answer:35 in total
Explanation:
- A periodic composite signal with a bandwidth of 2000 Hz is composed of two sine waves. The first one has a frequency of 100 Hz with a maximum amplitude of 20 V; the second one has a maximum amplitude of 5 V. Draw the bandwidth. - A TV channel has a bandwidth of 6MHz. If we send a digital signal using one channel, what are the data rates if we use one harmonic, three harmonics, and five harmonics?
The bandwidth of the periodic composite signal is drawn as a range between 100 Hz and 2100 Hz , The data rates for sending a digital signal using one harmonic, three harmonics, and five harmonics on a TV channel with a 6 MHz bandwidth would be 6 MHz, 18 MHz, and 30 MHz .
For the first question
Draw the bandwidth of a periodic composite signal, we need to consider the highest frequency component present in the signal.
We have two sine waves one with a frequency of 100 Hz and the other unspecified. Since the bandwidth is given as 2000 Hz, we can assume that the second sine wave has a frequency of 2100 Hz (2000 Hz above the first sine wave frequency).
Draw the bandwidth, we can create a graph with frequency on the x-axis and amplitude on the y-axis.
We plot the amplitude values for the two sine waves at their respective frequencies (100 Hz and 2100 Hz). The bandwidth will be the range between these two frequencies on the x-axis.
For the second question
The data rate for a digital signal transmitted using one harmonic, three harmonics, and five harmonics can be calculated by multiplying the channel bandwidth by the number of harmonics used. Since the bandwidth is given as 6 MHz, the data rates would be as follows:
One harmonic: 6 MHz
Three harmonics: 18 MHz
Five harmonics: 30 MHz
The data rate increases with the number of harmonics used because each harmonic contributes additional information to the signal, allowing for a higher data transmission rate.
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A hippo's body is 4.0 m long with front and rear feet located as in (Figure 1). The hippo carries 80% of its weight on its front foot. Part A How far from its tail is the hippo's center of gravity?
The hippo's center of gravity is located 3.2 meters from its tail.
To determine the distance of the hippo's center of gravity from its tail, we need to consider the weight distribution between its front and rear feet. Given that the hippo carries 80% of its weight on its front foot, we can assume that 80% of the hippo's total weight acts at the front. Let's denote the distance from the tail to the center of gravity as "x."
Since the rear foot is located at the tail, the remaining 20% of the weight acts at the rear foot. Using the principle of moments, we can set up the equation: (80% of the weight) * (distance from front foot to center of gravity) = (20% of the weight) * (distance from rear foot to center of gravity). Plugging in the given values, we have (0.8) * (4.0 - x) = (0.2) * x. Solving this equation, we find x = 3.2 meters. Therefore, the hippo's center of gravity is located 3.2 meters from its tail.
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5- A 2.0 kg block of aluminum (specific heat = 897 J/kg·K) is at an initial temperature of 300 K. What will its final temperature be if (3.35 × 105 J )of thermal energy is transferred to the block?
Answer:
T = 486.6 K
Explanation:
The final temperature of the block can be found using the following formula:
\(Q = mC\Delta T\\\)
where,
Q = Thermal Energy Transferred = 3.35 x 10⁵ J
m = mass of aluminum block = 2 kg
C = Specific Heat = 897 J/kg.K
ΔT = Change in Temperature = T - 300 K
T = Final Temperature of the Block = ?
Therefore,
\(3.35\ x\ 10^5\ J = (2\ kg)(897\ J/kg.K)(T-300\ K)\\\\5.38\ x\ 10^5\ J + 3.35\ x\ 10^5\ J = (1794 J/K)(T)\\\\T = \frac{8.73\ x\ 10^5\ J}{1794\ J/K}\)
T = 486.6 K
Say what main energy change
takes place in the following
examples.
a) clockwork toy
b) boy kicking a football
c) boiling kettle on a gas ring
d) person walking upstairs
Answer:
b) boy kicking a football
Explanation:
it 's because the ball was at rest but when it was kicked, it starts to more
Hello people ~
Which of the following options are correct?
If a conductor has a potential V 4- 0 and there are no charges anywhere else outside, then _____
(a) there must not be charges on the surface or inside itself.
(b) there cannot be any charge in the body of the conductor.
(c) there must be charges only on the surface.
(d) there must be charges inside the surface.
The charge would be in equilibrium so there would be no charge in the body of the conductor.
Answer:
(b) there cannot be any charge in the body of the conductor
Answer:
B
Explanation:
Note the line that there is no charges anywhere else outside means the charge is placed in equilibrium position.
Hence there cannot be any charge in the body of conductor
An electron is projected with an initial speed of 2.6 × 105 m/s directly toward a proton that is fixed in place. If the electron is initially a great distance from the proton, at what distance from the proton is the speed of the electron instantaneously equal to 8 times the initial value?
The distance from the proton where the speed of the electron is instantaneously equal to 8 times its initial value is approximately 2.05 × 10^-11 meters.
To find the distance from the proton where the speed of the electron is instantaneously equal to 8 times its initial value, we can apply the principles of conservation of energy and electrostatics.
The initial kinetic energy of the electron is given by:
KE_initial = (1/2) * m * v_initial^2
where
m is the mass of the electron and
v_initial is the initial velocity of the electron.
The potential energy between the electron and proton is given by:
PE = -k * (e^2) / r
where
k is the electrostatic constant,
e is the charge of the electron,
and r is the distance between the electron and proton.
At any distance r, the total mechanical energy of the system is conserved and equal to the sum of the initial kinetic energy and potential energy:
KE_initial + PE = KE_final
Since the speed of the electron is instantaneously equal to 8 times its initial value, the final kinetic energy (KE_final) can be expressed as:
KE_final = (1/2) * m * (8 * v_initial)^2 = 32 * KE_initial
Setting up the equation with conservation of energy:
(1/2) * m * v_initial^2 - k * (e^2) / r = 32 * KE_initial
Substituting the given values:
m = mass of electron = 9.11 × 10^-31 kg
v_initial = initial velocity = 2.6 × 10^5 m/s
k = electrostatic constant = 8.99 × 10^9 N·m²/C²
e = charge of electron = -1.6 × 10^-19 C
Simplifying the equation and solving for r:
(1/2) * (9.11 × 10^-31 kg) * (2.6 × 10^5 m/s)^2 - (8.99 × 10^9 N·m²/C²) * (1.6 × 10^-19 C)^2 / r = 32 * [(1/2) * (9.11 × 10^-31 kg) * (2.6 × 10^5 m/s)^2]
r = (8.99 × 10^9 N·m²/C²) * (1.6 × 10^-19 C)^2 / [(32 * [(1/2) * (9.11 × 10^-31 kg) * (2.6 × 10^5 m/s)^2]) - (1/2) * (9.11 × 10^-31 kg) * (2.6 × 10^5 m/s)^2]
Simplifying the expression and calculating:
r ≈ 2.05 × 10^-11 meters
Therefore, the distance from the proton where the speed of the electron is instantaneously equal to 8 times its initial value is approximately 2.05 × 10^-11 meters.
At a distance of approximately 2.05 × 10^-11 meters from the proton, the speed of the electron will be instantaneously equal to 8 times its initial value. This calculation is based on the principles of conservation of energy and electrostatics, taking into account the initial velocity and the interaction between the charges of the electron and proton.
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A bowling ball is rolling at a velocity of 56 km/h with a momentum of 130 kg-m/s. What is its
mass?
+
Answer:
Explanation:
Momentum
What is the difference between the temperatures on Earth and the moon?
Answer:
The earth is hotter
Explanation:
the average temperature on earth is 57 degrees Fahrenheit the average on the moon is -298 degrees Fahrenheit
a car of mass 1200kg travelling at 30m/s runs into the back of a stationary
lorry. The car and lorry move at 4m/s after impact. Determine the mass of the
lorry.
Answer:
The mass of the lorry 7800 kg
Explanation:
Momentum conservation law for inelastic collision:
\(m1*V1 + m2*V2 =( m1 + m2)*V^{'} \\ \\1200*10^{3} g * 30 m/s + m2*0 m/s =(1200*10^{3} g + m2)*4 m/s\\ \\\frac{1200*10^{3} g * 30 m/s}{4 m/s} -1200*10^{3} g=m2\\ \\m2=9000*10^{3} g-1200*10^{3} g=7800*10^{3} g=7800 kg\)
on a very large distant screen, what is the total number of bright fringes (those indicating complete constructive interference), including the central fringe and those on both sides of it? solve this problem without calculating all the angles! (hint: what is the largest that
The total number of bright fringes on a very large distant screen can be determined without calculating all the angles by using the concept of the interference pattern produced by a double slit.
In the double-slit interference pattern, bright fringes occur when the path difference between the waves from the two slits is an integer multiple of the wavelength. The central bright fringe is formed when the path difference is zero.
If we consider the central fringe as the zeroth order, the first-order fringe will be formed when the path difference is one wavelength, the second-order fringe when the path difference is two wavelengths, and so on.
Assuming that the distance between the two slits is d, the angle θ for the nth-order fringe can be approximated as θ = nλ/d, where λ is the wavelength of light.
The largest angle, θ_max, is determined by the screen size. Let's say the screen has a width L. To find θ_max, we need to consider the fringe that is at the edge of the screen. The angle for this fringe can be given by θ_max = λ/L.
To find the total number of bright fringes, including the central fringe and those on both sides of it, we can divide θ_max by the angle between adjacent fringes, Δθ. Δθ can be approximated as Δθ = λ/d.
The total number of fringes, N, can be calculated using the formula N = 2θ_max/Δθ.
Therefore, the total number of bright fringes can be determined without calculating all the angles by using the formula N = 2(λ/L)/(λ/d), which simplifies to N = 2d/L.
In conclusion, the total number of bright fringes, including the central fringe and those on both sides of it, is given by the formula N = 2d/L, where d is the distance between the double slits and L is the width of the screen.
More than 100 words.
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An electron is accelerated through a distance of 15mm the work done on the electron is 1.2x10^-13J calculate the force on the electron
help pleaseee
Write step by step solutions and justify your answers. Question 1: Evaluate a) (10 points) L {e+ (2t - 1)2 + sin(–3t) + cos 5t}. - b) (10 points) L-1 1 (s + 1)(s2 + 5 – 12) +- }
Evaluate
a) L{e+(2t - 1)² + sin(-3t) + cos(5t)}
To evaluate this Laplace transform, we'll use the basic Laplace transform properties and formulas.
Step 1: Apply the Laplace transform to each term separately.
L{e} = 1/s [Using the Laplace transform of the exponential function]
L{(2t - 1)²} = (2/s)² [Using the Laplace transform of (at + b)^n, where a, b are constants]
L{sin(-3t)} = -3/(s² + 9) [Using the Laplace transform of sin(at)]
L{cos(5t)} = s/(s² + 25) [Using the Laplace transform of cos(at)]
Step 2: Apply the linearity property of the Laplace transform to combine the individual transforms.
L{e+(2t - 1)² + sin(-3t) + cos(5t)} = L{e} + L{(2t - 1)²} + L{sin(-3t)} + L{cos(5t)}
= 1/s + (2/s)² - 3/(s² + 9) + s/(s² + 25)
= 1/s + 4/s² - 3/(s² + 9) + s/(s² + 25)
Therefore, the Laplace transform of the given expression is 1/s + 4/s² - 3/(s² + 9) + s/(s² + 25).
b) L^(-1) {1 / [(s + 1)(s² + 5 - 12)]}
To evaluate the inverse Laplace transform, we'll use partial fraction decomposition and the inverse Laplace transform formulas.
Step 1: Factorize the denominator.
(s + 1)(s² + 5 - 12) = (s + 1)(s² + 5 - 12)
= (s + 1)(s² + 4s - 7)
= (s + 1)(s + 7)(s - 1)
1 / [(s + 1)(s + 7)(s - 1)] = A / (s + 1) + B / (s + 7) + C / (s - 1)
For s^2 term: 0 = A + B + C
For s term: 0 = 6A - 6B + 8C
For constant term: 1 = -7A
From the third equation, A = -1/7. Substituting this into the second equation, we get -6/7 - 6B + 8C = 0, which simplifies to -6B + 8C = 6/7.
From the first equation, we get C = -A - B, which simplifies to C = 1/7 - B.
Substituting C into the equation -6B + 8C = 6/7, we have -6B
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SELECT ALL of the TRUE statements about voltage:
Voltage is like water pressure in a pipe.
Voltage is what "pushes" electrons through a circuit
Voltage is the potential difference between (+) and (-) charges
Assuming the resistance in a circuit stays the same, the greater the voltage, the more current can flow through a circuit.
Answer:
All of the above
Explanation:
I saw this on an EdPuzzle.