The final solution sales will always be fractions. The final solution deals do not need to be integers.
Linear programming (LP) or Natural Optimization is the issue of maximizing or underestimating a straightforward work subject to linear restrictions.
What is Linear Programming?The problem of maximizing or minimizing a straight work subject to linear constraints is known as linear programming (LP) or direct optimization.Equities or imbalances could be the constraints. Among the advancement issues are profit and loss calculations.Linear programming problems are a type of optimization problem in which the feasible region is determined and the arrangement is optimized to have the highest or lowest esteem of the work.The various types of linear programming are as follows: To solve linear programming problems, the Simplex method is used.R is a programming language used to solve linear programming problems. To solve linear programming, a graphical method is used.To learn more about linear programming, visit;
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The frequency of the radio station is 105.9mhz. how much is the frequency in hertz
If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.
How to convert Hertz to Megahertz?Frequency in physics is the quotient of the number of times or a periodic phenomenon that occurs over the time (t) in which it occur.
Hertz and Megahertz are both units of measurement of frequency, which means inverse of the seconds i.e. 1/s.
However, the conversion factor of Hertz and Megahertz are as follows:
1 megahertz = 1000000 hertz
According to this question, the frequency of a radio station is 105.9 MHz, this frequency can be converted as follows:
105.9 × 1000000 = 1.059 × 10⁸ Hertz
Therefore, If the frequency of a radio station is 105.9 MHz, the frequency in hertz is 1.059 × 10⁸ Hertz.
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If this light exerts a total force f = 4.6 nn on the wall, how many photons per second are hitting the wall?
A photon is a tiny particle made up of electromagnetic radiation waves. Photons are simply electric fields traveling through space, as demonstrated by Maxwell. Let the number of photons N.
the surface: F = N (h/λ)
What are photons?A photon is a fundamental particle that is a quantum of the electromagnetic field, including electromagnetic radiation such as light and radio waves, and the electromagnetic force carrier. Because photons have no mass, they move at the speed of light in a vacuum, 299792458 m/s photons are quantized packets of energy. Because photons have a wavelength, their wave nature can be demonstrated. They have both velocity and mass, which gives them molecule nature. Photons and electrons are both fundamental quantum-mechanical particles, but they have very different properties. The photon is a type of elementary particle that acts as an energy carrier, whereas the electron is a subatomic particle that exists in all atoms.Therefore on the surface: F = N (h/λ)
Given F = 4.6 nN
assume λ = 633 nm
N = (4.6 ×[tex]10^{-9}[/tex] × 633 ×[tex]10^{-9}[/tex] )/(6.63 × [tex]10^{-34}[/tex]) photons / s
N = 4.68 × [tex]10^{18}[/tex] photons / s
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A cylinder contains 0.35 m3 of air at 50oc and 276 kn/m2 absolute. the air is compressed to 0.071 m3. assuming isentropic conditions, what is the isentropic bulk modulus of elasticity?
By using Hooke's Law, the isentropic bulk modulus is 1,360,563.38 Pa.
We need to know about Hooke's Law to solve this problem. Hooke's Law describes the force applied to spring (elastic materials) will proportional to spring constant and displacement under the elastic condition. It can be described as
F = k . x
where F is force, k is spring constant and x is displacement.
The bulk modulus can be measured by stress and strain which
B = σ/ε
B = (F/A) / (ΔV/V)
where σ is stress, ε is strain, A is surface area, ΔV is change in volume and L is initial volume.
From the question above, we know that
σ = 276 kN/m² = 276 kPa = 276000 Pa
V = 0.35 m³
ΔV = 0.071 m³
By substituting the given parameters, we get
B = σ/ε
B = 276000 / (ΔV/V)
B = 276000 / (0.071/0.35)
B = 1,360,563.38 Pa
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The typical range of human hearing is: _________
a) 0 to 300 hz
b) 0 to 1,200 hz
c) 0 to 4,000 hz
d) 0 to 56,000 hz
e) 20 to 14,000 hz
The typical range of human hearing is 20 to 14,000 hz
Around 20 Hz to 20 kHz is the range of frequencies that humans can hear. However, as they become older, human infants lose some of their high-frequency sensitivity; the highest limit in ordinary adults is frequently closer to 15–17 kHz. Human neonates can actually hear sounds somewhat higher than 20 kHz. Although most speech frequencies fall between 100 and 4,000 Hz, the human ear can detect sounds between 20 Hz to 20,000 Hz (20 kHz).
Ultrasonic frequencies are those that are higher than 20,000 Hz. Many animals can hear ultrasonic frequencies even though they are outside the range of human hearing. A person with typical hearing may hear noises between 20 and 20,000 hertz (Hz). For voice processing, frequencies between 500 and 4000 Hz are crucial.
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Two units of measurement for energy are calories and joules. the measurement of 25.1 cal is the same amount of energy as ___________.
Two units of measurement for energy are calories and joulesthe measurement of 25.1 cal is the same amount of energy as 105.42 joule
1 cal = amoun tof heat energy required to raise the temperature of 1 g of matter by 1 degree.
1 Kcal = 1000 cal
S.I unit of energy = joule
The relation between calorie and joule
1 calorie = 4.2 joule
measurement of energy = 25.1 cal
= 25.1 * 4.2 joule
= 105.42 joule
so 25.1 cal is the same amount of energy as 105.42 joule
one joule is the work done when a force of 1 newton moves its point of application 1 metre in the direction of the forceTo know more about joule visit :https://brainly.com/question/25947916
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The arabinose operon in e. coli is regulated by the trans-acting factor arac in response to the presence or absence of sugar arabinose. arac functions as ____________________
The arabinose operon in e. coli functions as the regulatory protein
The L-arabinose operon, commonly known as the ara operon, is a gene sequence that encodes enzymes required for arabinose catabolism to xylulose 5-phosphate, an intermediate in the pentose phosphate pathway. It is governed by both positive and negative control. Escherichia coli contains the operon (E. coli).
AraC, the regulator protein, is sensitive to arabinose levels and acts as both an activator in the presence of arabinose and a repressor in the absence of arabinose to regulate the expression of araBAD.
In the absence of arabinose, the dimer AraC protein represses the structural gene by binding to araI1 and araO2, and the DNA creates a loop, preventing RNA polymerase from connecting to the ara operon promoter and therefore stopping transcription. When arabinose is present, it binds to AraC, preventing it from interacting.
The DNA loop is therefore broken. AraC-arabinose complexes attach to the araI site, promoting transcription. When arabinose is present, AraC functions as an activator, resulting in the formation of a complex: AraC + arabinose. This complex is required for RNA polymerase to bind to the promoter and initiate transcription of the ara operon.
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In 3-5 sentences, summarize how the change of state from ice to water is affected by the relationship between kinetic energy and the forces of attraction.
As ice melts into water, kinetic energy is being added to the particles. This movement causes them to be 'excited' and causes the break in the bonds which hold them together as a solid. This also results in a change of state from solid to liquid.
What is kinetic energy?kinetic energy can be described as a form of energy that an object or a particle possess by reason of its motion.
Kinetic energy is a property of a moving object or particle and that depends on the motion and mass of the object involved in the motion.
The change in state of an object is due to the change in the average kinetic energy of the particles. This average kinetic energy is proportional to the temperature of those particles.
The reason is that heat is a form of energy and if you add heat energy to ice you "excite" the water molecules which in turn breaks the interactions in the lattice structure and forming weaker, looser hydrogen-bonding interactions.
In conclusion, the change in state of an object is due to the change in the average kinetic energy of those particles.
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A domestic car manufacturer claims that their sports car will accelerate from rest to a speed of 41.0 m/s in 7.20 s.
(a) Determine the magnitude of the average acceleration of the car (in m/s2).
m/s²
(b) Assume that the car moves with constant acceleration. Find the distance (in m) the car travels in the first 7.20 s.
m
(c) What is the speed of the car (in m/s) 10.0 s after it begins its motion if it continues to move with the same acceleration?
m/s
The magnitude of the average acceleration of the car is 5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.
What is average acceleration?Average acceleration is defined as the average rate of change of velocity per unit time. Mathematically -
a[avg] = Δv/Δt
Given in the question a sports car will accelerate from rest to a speed of 41.0 m/s in 7.20 s. From this, we can write -
Initial velocity [u] = 0 m/s
Final velocity [v] = 41 m/s
time taken (Δt) = 7.2 s
Part A → Average acceleration
The average acceleration of car can be calculated as follows -
a = Δv/Δt = (v - u)/t = (41 - 0) / 7.2 = 5.69 m/s²
Part B → Distance covered
The distance travelled by the car in first 7.20 seconds will be -
S = ut + 1/2 at²
S = 1/2 at²
S = 0.5 x 5.69 x 7.2 x 7.2
S = 147.5 m
Part C → Speed after 10 seconds
Using the first equation of motion -
v = u + at
v = at
v = 5.6 x 10
v = 56 m/s
Therefore, the magnitude of the average acceleration of the car is 5.69 m/s², the distance (in m) the car travels in the first 7.20 s is 147.5 m an the speed of the car (in m/s) 10.0 s after it begins its motion will be 56 m/s.
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Atoms are very small compared to objects on the macroscopic scale. the radius of a gold atom is 144 pm. what is this value in meters and in centimeters?
The value in centimeters is [tex]1.44 \times 10^{-8}[/tex] cm.
Dimensional analysis is a method for changing a measurement's unit of measurement. A single unit of measurement can be multiplied by a number of fractions that, although expressed in different units, are essentially the same measurement.
A unit of measurement is a specific magnitude of a quantity that is adopted by law or convention and used as a standard for measuring other quantities of the same kind. Another amount of that type may be expressed as a multiple of the measuring unit.
Radius of gold =144pm
[tex]=144pm\times 1m/10^{12}pm[/tex]
[tex]=144 \times 10^{12} m[/tex]
[tex]=1.44 \times 10^{-10} m[/tex]
[tex]= 1.44 \times 10^{-8} cm.[/tex]
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A circular rod with a length of 3.6 m and a diameter of 2.6 cm is subjected to an axial load of 61 kn . if the resulting change in length is 3.52 mm , what is the modulus of elasticity?
The modulus of elasticity is 117.5 KN/[tex]cm^{2}[/tex].
How can we find the modulus of elasticity?
Modulus of elasticity is commonly known as Young's Modulus, which is denoted as E. To find modulus of elasticity we know that,
E = σ / ∈-----(1)
where σ is denoted as stress,
and ∈ is denoted as strain.
σ = F/A ------(2)
where F is denoted as load,
and A is denoted as area.
∈= ΔL/L ------(3)
where ΔL is denoted as the resulting change in length,
and L is denoted as the original length.
Given that,
L = 3.6m = 360cm
d = 2.6cm
F = 61 KN
ΔL = 3.52mm = 0.352cm
E = ?
By substituting the values in (2) & (3) we get,
⇒ σ = F/A
A = π/4 [tex]d^{2}[/tex] = (π/4)×([tex]2.6^{2}[/tex]) = 5.3092 [tex]cm^{2}[/tex]
σ = 61/(5.309) = 11.5
⇒ ∈ = ΔL / L
= (0.352) / 360
E = σ / ∈
= [tex]\frac{(61)(360)}{(5.309)(0.352)}[/tex] = 1177 KN/[tex]cm^{2}[/tex]
Therefore the modulus of elasticity is 1177 KN/[tex]cm^{2}[/tex]
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In problem 16, in the workbook, let the current have a uniform speed of 1.35 m/s and let the width of the river be 100 m. what is the speed of the boat relative to a stationary observer on the shore?
The current have a uniform speed of 1.35 m/s and let the width of the river be 100 m. what is the speed of the boat relative to a stationary observer on the shore is 67.5 m.
The distance traveled in a unit of time is referred to as speed. The meter per second (m/s) is a SI unit. Any mathematical operation must be performed while maintaining the same units for all terms. If the units are different, the result will be incorrect. Until and unless terms have the same units, we cannot perform mathematical operations on them.
The posed issue is based on the correlation between distance, time, and speed. We must convert km/hr into m/sec in order to convert the specified unit of speed into SI units. The required distance will then be determined using the formula for distance speed and time.
Boat speed in relation to water = 2 m/sec
1.35 meters per second for water
time t = 100/2.00 = 50 s
the required distance = 1.35*50 = 67.5 m
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An object is accelerating at a= 23 m/(s^2), it has a mass of m=45kg. How much force is on the object?
Answer:
FORCE=Mass*Acceleration
So, Force=45*23=115 N
The definition of force in physics is the push or pull on a massed object that changes its velocity. An external force is an agent that has the power to alter the resting or moving condition of a body. The force is 115 N.
Force is a physical factor that alters or has the potential to alter an object's state of rest or motion as well as its shape. Newton is the SI unit of force.
One of the most fundamental types of physical entities is the force. Due to the fact that force is a vector quantity, it possesses both a magnitude and a direction. Frictional force and contact force are the two categories under which all forces can be classified.
F = m × a
F = 45 × 23
F = 115 N
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What is the acceleration of the car in section a
Answer:
I am going to make an educated guess and say... B. 3 m/s²
Explanation:
I'm pretty certain that this is the correct answer.
For me, it was a toss-up between B and C, but I don't really think it's C.
But, then again, I am not 100% sure.
I hope you get it right! Have a blessed day! (✿◠‿◠)
Which statements accurately describe how physicists view the role of mathematics?
1 . Equations represent relationships between measurements.
2 . Equations are tools for modeling observations.
3 . Mathematics is a language.
4 . Mathematics is designed to replace observation wherever possible.
The statements that accurately describe how physicists view the role of mathematics is: equations represent relationships between measurements; option 1
What is the role of Mathematics in Physics?Mathematics is a branch of science that deals with numbers, formulas and related structures, shapes and spaces as well as the changes that occur in them.
Physics is a branch of science that studies matter, its constituents, motion and behavior through space and time, and their relation with energy and force.
The branches of Physics include:
MechanicsThermodynamicsWaves and vibrationOpticsElectromagnetismRelativityQuantum Mechanics.Mathematics plays a very important role in physics as the equations of mathematics helps to explain relationship between measurements.
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Need help with these problems! Thanks so much
Answer:
14.SI unit of
Distance →Metre(m)
Time →second(s)
Mass→kilogram(kg)
15. Dynamics
16. Optics
17. Electromagnetism
18.Thermodynamics
Answer:
14)
Distance : metres
Time: seconds
Mass: kilograms
15) Mechanics
16) Optics
17) Electromagnetism
18) Thermodynamics
Explanation:
Si units stand for 'International Units' these are units that are used universally for certain quantities
Hope this helps :)
A lightbulb with a resistance of 45.0 ohms (R) is used in a circuit with a 9.0V battery. What is the current through the bulb?
The current that flows in the circuit is 0.2 A.
What is the current?We know that circuit is a path that has been specially prepared and set aside for the flow of current. This implies that we could only observe the flow of current in a an electric circuit. We could use the Ohm's law to be able to obtain the voltage an the current.
Ohms law states that the current that flows in the circuit is directly proportional to the voltage in the circuit. This implies that we could be able to write from this statement that; V α I. When we try to introduce the constant of proportionality then we can write;
V = IR
Where;
V = voltage
I = current
R = resistance
I = V/R
V = 9.0V
R = 45.0 ohms
I = 9.0V/ 45.0 ohms
I = 0.2 A
The current that flows in the circuit is 0.2 A.
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Scientists have organized all forms of energy into two types—kinetic and potential. Kinetic energy is the energy of motion, and potential energy is stored energy. At the top of its swing, does the pendulum have kinetic or potential energy?
Answer: At the top of a pendulum's swing, the ball is no longer moving (at that very specific point of time). All of its kinetic energy has been converted to potential energy (or more specifically in this instance, gravitational potential energy).
Explanation: hope this helps
Decane is an alkane having ten carbon atoms in its carbon chain. what is the total number of hydrogen atoms in decane?
Decane is an alkane with ten carbon atoms in its carbon chain. Hence, there are 22 hydrogen atoms.
Alkanes are acyclic, saturated hydrocarbons. Hydrocarbons are organic compounds made up of carbon and hydrogen only. Alkanes could be straight chained or branched.
Decane is a straight chained alkane with ten carbon atoms. To find the number of hydrogen atoms in any given alkane, we use the following molecular formular:
CₓH₂ₓ₊₂
The x in the formular stands for the number of carbon atoms. The C represents carbon, and the H represents hydrogen. If we put ten in place of x in the formular, we would have:
C₁₀H₂₀₊₂
= C₁₀H₂₂
Therefore, Decane has 22 hydrogen atoms.
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What quality differentiates hydrogen (H) from the other elements in group 1, the alkali metals?
a. It has more than one valence electron.
b. It is found by itself in nature.
c. It is not very reactive.
D. It is a non-metal.
Answer:
D. It is a non-metal.
Ka, kb, and ksp are all different types of equilibrium constants. what is the difference between ka, kb and ksp?
Ka, Kb, and Ksp are all different types of equilibrium constants. The difference between these three is that Ka is the acid dissociation constant, Kb is the base dissociation constant and Ksp is the solubility product constant.
The relationship between a reaction's products and reactants with regard to a certain unit is expressed by the equilibrium constant, K. When an acid and its conjugate base are in equilibrium, Kb serves as the equilibrium constant, Ka is the acid equilibrium constant. Simply put, pKa is the -log of Ka.
Similar to this, Kb is the base dissociation constant and pKb is its -log. The moles per liter (mol/L) unit of measurement is commonly used to express the acid and base dissociation constants. The amounts of species present when ions are in equilibrium with undissolved salt are described by the solubility product (Ksp).
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What is the magnitude of the resultant vector? 10 meters 50 meters 1200 meters 2500 meters
Answer:
either vector
Explanation:
If the magnitude of the resultant of the two equal vectors is equal to the magnitude is equal to neither both vectors
A person skating on ice at a constant velocity is a static or dynamic situation in reference to biomechanical subdivisions?
A person skating on ice at a constant velocity is a static situation in reference to biomechanics subdivisions
An interdisciplinary science known as biomechanics studies how organisms move and interact with their environment by applying physics concepts to biological systems. Biomechanics is interested in a wide range of motions, from small-scale, whole-body movements like a jumping cat to large-scale, complex movements like the contraction of muscles in cells. In order to characterize and comprehend the complex forces involved in biological systems, biomechanics utilizes the rules of physics with relation to levers, pulleys, and other known functions.
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Calculate the height of a cliff if it takes 2. 35 s for a rock to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8. 00 m/s.
The height of the cliff from the rock is thrown with an initial velocity of 8.00 m/s is: 45.8602 m
The formula for the downward vertical launch and the procedure we will use is:
y = V₀*t + (gt²) /2
Where:
v₀ = initial velocityg = gravityy = heightt = timeInformation about the problem:
g = 9.8 m/s²v₀ = 8.00 m/st= 2.35 sy = ?With the information gave, we can calculate the height from the rock is thrown, using the formula of downward vertical launch:
y = V₀*t + (gt²) /2
y = (8.00 m/s * 2.35 s) + [9.8 m/s² * (2.35 s)²] /2
y = 18.8 m + [9.8 m/s² * 5.5225 s²] /2
y = 18.8 m + [54.1205 m] /2
y = 18.8 m + 27.0602 m
y = 45.8602 m
What is vertical launch?In physics vertical launch is the motion described by an object that has been launched vertically in which the acceleration is the earth's gravitational force.
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An electric field is defined along the x-axis by the function . what is v(g)-v(h), where g=1.5m and h=6m?
An electric field is defined along the x-axis by the function then if g=1.5m and h=6m, then v(g)-v(h) = 7768.40V.
Explain what the electric field is.When charge is present in any form, a point in space has an electric field that is connected to it.
The value of E, often known as the electric field strength, electric field intensity, or just the electric field, expresses the strength and direction of the electric field.
What is the formula for the electric field?Each location in space where a charge exists in any form can be considered to have an electric field attached to it. The electric force per unit charge is another name for an electric field. The electric field’s equation is given as E = F / Q.
E = + 5 x^4 x^n
Also, E = -x^n r/rx (v)
⇒ 5 x^4 x^n = -x^n r/rx (v)
⇒ v = - ∫ 5 x^4 dx
⇒ v = -5 x^5/5
⇒ v = - x^5 v
So, v(g) - v(h) = - (1.5)^5 + (6)^5
= -7.59375 + 7776
=7768.40 V
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A helicopter flies 165m horizontally and then moves downward 45m below. What is the helicopter's resultant displacement
The helicopter flies 165m horizontally and then moves downward 45m below so ,the helicopter's resultant displacement is 171 m.
What is resultant displacement ?
Resultant displacement is defined as the the shortest distance from initial point of movement to the final point of movement.
What is Pythagoras theorem ?
Pythagoras theorem is defined for a right angled triangle as the square of the hypotonus being equal to sum of square of base and square of perpendicular.
given :
helicopter flies horizontally a displacement (x) = 165m
helicopter flies vertically a displacement (y)= 45m
the above condition can be imagined in a 2-D graph or plane with x and y axis
and since the curve will be a sharp 90° the resultant figure is of a right angled triangle.
therefore,
using Pythagoras theorem we get;
( resultant displacement )²= (165)² + (45)²
( resultant displacement ) = 171 m
The helicopter flies 165m horizontally and then moves downward 45m below so ,the helicopter's resultant displacement is 171 m.
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When you hold your cardboard square between the lights source and the wall what do you observe
When you hold your cardboard square between the lights source and the wall you observe a shadow.
Does light penetrate a cardboard?We know that light is a source of energy. Light travels in straight lines and this is called the rectilinear propagation of light. Having known that light travels along a straight path, we know that light would pass through the cardboard which is not too thick.
This cardboard is now able to scatter the light waves. We would then see a shadow at the wall. This shadow would have two regions; the region of complete darkness called umbra and the region of partial darkness called penumbra.
Thus, when you hold your cardboard square between the lights source and the wall you observe a shadow.
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When fully mature, the muscular walls of the epididymis move sperm into the _______, where they are stored until ejaculation.
When fully mature, the muscular walls of the epididymis move sperm
into the vas deferens where they are stored until ejaculation.
What is vas deferens?The male reproductive system includes your two vasa deferentia (plural). The ductus deferens or sperm duct are other names for the vas deferens (singular). This lengthy muscular tube connects to your urethra via the ejaculatory duct and travels from the epididymis into the pelvic cavity behind your bladder. Your spermatic cord surrounds your vas deferens, which move mature sperm to the urethra prior to ejaculation.Sperm cells are produced inside of your testes. The sperm then continues into the epididymis, a structure that is situated on top of the testicle. The epididymis is responsible for maturing and storing sperm cells so they can fertilize eggs.Muscle contractions caused by sexual arousal cause the sperm to move from the epididymis to the vas deferens and then into the urethra, allowing you to ejaculate semen outside of your body. Your body creates semen by mixing secretions with sperm cells during the process.
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Let the frequencies be substantially different if any frequency is at least twice any other frequency. does it appear that these births occur on the days of the week with equal frequency?
yes, it appears that births occur on the days of the week with frequencies that are about the same.
It is obvious from the relative frequency table that almost no day has a relative frequency value that is double that of any other day. We may thus draw the conclusion that these births happen almost equally frequently on each day of the week. Please keep in mind that the relative frequency statistics vary slightly over the course of seven days.
what is frequency?The quantity of waves passing a fixed point in a unit of time, as well as the quantity of cycles or vibrations a body in periodic motion experiences in a given period of time. After going through a sequence of actions or postures and then returning to its initial condition, a body in periodic motion is said to have experienced one cycle or one vibration.Greek letters nu (v) and omega (ω) are also often employed as symbols denoting frequency. Nu is more frequently used to describe electromagnetic waves like light, X-rays, and gamma rays. Omega is often used to represent the angular frequency, which is the amount of rotation or circumference an object experiences in radians per unit of time.To know more about frequency visit:
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Every particle of matter in the universe attracts every other particle with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of the distance between them. True or false?.
Newton's law of universal gravitation tells us that all particles are attracted to each other with a force that is directly proportional to the product of the masses of the particles and inversely proportional to the square of their distance apart. Hence, the answer to the question is true.
The statement on the question is in line with Newton's law of universal gravitation, which states that "the force of attraction between two objects with masses m1 and m2 is directly proportional to the product of their masses and inversely proportional to the square of their distance apart. The 'force of attraction' stated in the law the law is gravity. Mathematically, it is written as:
[tex]F= G\frac{m1*m2}{d^{2} }[/tex]
where G is the universal gravitational constant.
This means that the force of gravity between two particles increases as the mass of the particles increase, and gravity exponentially reduces as the distance between the two particles increase.
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A ball is dropped from rest and takes 1.3 s to hit the ground. From what height was it dropped? a. 7.5 m b. 8.3 m c. 13 m d. 17 m
The ball that is dropped from rest and takes 1.3 s to hit the ground was dropped from 8.28 m of height
The free fall formula and the procedure we will use is:
h = (g * t²)/2
Where:
g = acceleration due to gravityt = timeh = height traveledInformation of the problem:
g = 9.8 m/s²t = 1.3 sh =?Applying final height formula we get:
h = (g * t²)/2
h = (9.8 m/s² * (1.3 s)²)/2
h = (9.8 m/s² * 1.69 s²)/2
h = 16.56 m/2
h = 8.28 m
What is free fall?It is when the object or mobile falls from a height (h) with a positive acceleration equal to the gravity, describing a vertical rectilinear travel.
Learn more about free fall at brainly.com/question/11257529
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