We can select the cases in the order of selection matters 254,251,200
Permutation is the act of putting all the members of a set into a sequence or order in mathematics. In other words, if the set is already sorted, the act of reordering its pieces is known as permuting. Permutations may be found in practically every branch of mathematics, at varying degrees of prominence. They frequently appear when alternative orderings on finite sets are examined. The permutation formula is as follows.
nPr = ((n!) )/((n-r)!)
nPr = ((50!) )/((50-5)!)
nPr = ((50!) )/((45)!)
nPr = ((50*49*48*47*46*45)!)/((45)!)
nPr = 11441304000/45
nPr = 254,251,200
Therefore, there are 254,251,200 ways to select these cases if order of selection matters.
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To determine the displacement, we first identify the initial and final positions. The initial position is Xi= 5.0m, and the final position is
Xf= 8.0m. Therefore, the displacement is
The displacement of the object is determined as 3.0 m.
What is displacement?
The displacement of an object is the change in the position of the object.
displacement = Δx = xf - xi
where;
xf is the final position of the object'xi is the initial position of the objectΔx = xf - xi
Δx = 8.0 m - 5.0 m
Δx = 3.0 m
Thus, the displacement of the object is determined as 3.0 m.
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what is weight?write the formula of weight
Answer: The weight of an object is defined as the force of gravity on the object and may be calculated as the mass times the acceleration of gravity, w = mg.
Explanation:
Atoms that combine in What plsss
When atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.
How does atom combine?
Atoms can combine with each other through sharing of the electrons, donating the electrons etc. to make molecules.
When atoms combine by forming covalent bonds, the resulting collection of atoms is called a molecule. We can therefore say that a molecule is the simplest unit of a covalent compound.
Thus, when atoms combine to form covalent bonds, the resulting collection of atoms or group of atoms is called a molecule.
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what is the slope method
Answer: The Slope method calculates the flowrate of material in each stream from the slope of the moving cumulative sum with respect to time.
Explanation: hope this helps!!!!
A group of magnetic force lines going from the north pole of a magnet to the south pole is called:_________
A group of magnetic force lines going from the north pole of a magnet to the south pole is called magnetic field line.
What Is Magnetic Force?
If we put a point charge q within the presence of both a magnitude field given by magnitude B(r) and an electric field given by a magnitude E(r), at that point the whole force on the electric charge q can be composed as the whole of the electric force and the magnetic force acting on the question .
This force is named as the Lorentz Drive. It is the combination of the electric and magnetic force on a point charge due to electromagnetic fields.
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When using the high-low method, should you base the high and low observations on the dependent variable or on the cost driver?
Option B) cost driver
10-9 In a cost function, the dependent variable and the cost driver are the lines of causality. In the high-low strategy, picking the highest and lowest observations of the cost driver is therefore suitable.
When should the high low approach not be used?If the highest and lowest activity levels reflect the company’s general cost pattern, the high-low technique can be reasonably accurate. However, the high low technique will give false results if the two extreme activity levels are systematically different.
How does the high-low approach work?Find the activity with the highest cost and highest operational unit.
Add the highest activity to the variable cost per unit.
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Suppose a simple pendulum consists of a 3.5 m string and a 0.3-kg bob, and its period is 3.75 s. what would be the period of the pendulum if the mass of the bob were doubled?
The period of pendulum is still the same at 3.75 seconds.
We need to know about pendulum experiment to solve this problem. The pendulum is a simple experiment to calculate gravitational acceleration. The gravitational acceleration can be calculated by
g = 4π² . L / T²
where g is gravitational acceleration, L is the length of the string and T is the period.
From the question above, we know that:
L = 3.5 m
m1 = 0.3 kg
T1 = 3.75 s
m2 = 2m1
Find the period of pendulum
g = 4π² . L / T²
T² = 4π² . L / g
T = √(4π² . L / g)
The period of a pendulum does not depend on the mass of the object, hence the period is still the same at 3.75 seconds.
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What is the atomic number for an element whose mass number is 92, which contains 52 neutrons per atom?
The atomic number for an element whose mass number is 92, which contains 52 neutrons per atom is: 40
The formulas and procedures we will use to solve this problem are:
number of protons = mass number - number of neutronsatomic number = number of protonsInformation about the problem:
mass number = 92number of neutrons = 52atomic number =?Applying the number of protons formula we get:
number of protons = mass number - number of neutrons
number of protons = 92 - 52
number of protons = 40
Applying the atomic number formula we get:
atomic number =number of protons
atomic number = 40
What is an atom?The atom is the smallest part of the composition of matter, it is indivisible and is composed of a nucleus that has protons and neutrons, and around the nucleus there are the electrons.
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Practice another the wheels of a car have radius 10 in. and are rotating at 700 rpm. find the speed of the car in mi/h.
The car with wheels of 10in that are rotating at 700 rpm has a speed of 6.629 mi/h
To solve this tangential velocity problem the formula and the procedure we will use is:
v = w * r
Where:
v = tangential velocityw = angular velocityr = radiusInformation about the problem:
v = ?w = 700 rpm = revolutions / minr = 10 inApplying the tangential velocity formula, we get:
v = w * r
v = 700 rpm * 10 in
v = 7000 in/ min
Converting the velocity from in/min to mi/h, we have:
7000 in/min * (1 mile/ 63360 in) * (60 min / 1h) = 6.629 mi/h
What is tangential velocity?In physics is the length of arc traveled in each unit of time in uniform circular motion. It is expressed in units of distance per time (m/s), (km/h).
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Microwaves, such as those used for radar and to heat food in a microwave oven, have wavelengths greater than 3 mm. What is the corresponding frequency of radiation of a wavelength of 13. 4 mm?.
The frequency of electromagnetic waves is 22.32 x 10⁹ Hz or 22.32 GHz.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
λ = 13.44 mm = 0.01344 m
By substituting the given parameter, we can calculate the frequency of microwaves
c = λ . f
f = c / λ
f = 3 x 10⁸ / 0.01344
f = 22.32 x 10⁹ Hz
f = 22.32 GHz
Hence, the frequency of radiowaves is 22.32 x 10⁹ Hz or 22.32 GHz.
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Iodine-131 has a half-life of 8.0 minutes. how many half-lives will pass in 120 minutes?
By the half-life of radioactive, the Iodine-131 experienced 15 half-lives.
We need to know about the half-life of the radioactive elements to solve this problem. The radioactive element will decay over time and follow the equation
N = No(1/2)^(t/t'')
where N is the final quantity, No is the initial quantity, λ is the decaying constant, t is time and t'' is the half-life of a radioactive element.
From the question above, we know that
t'' = 8 min
t = 120 min
Calculate the remaining mass
N = No(1/2)^(t/t'')
N = No(1/2)^(120/8)
N = No / 32768
As we know that half-lives is (No / (2^n)), Hence
N = No / 32768
N = No / 2^(²log(32768))
N = No / 2¹⁵
Hence, the Iodine-131 experienced 15 half-lives.
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1. Two charged spheres are held a distance r apart, as shown in the figure below. Compare
the force of sphere A on sphere B with the force of sphere B on sphere A.
A.
B.
C.
D.
Sphere A
+3aC
FA on B-FB on A
3FA on B-9FB on A
9FA on B = -3FB on A
FA on B=-6FB on A
he
+9 MC
Sphere B
the two changes
horos
Answer:
F = K Qa Qb / R^2
The forces are equal - the same on each sphere
Suppose the force was repulsive, for simplicity, obviously a string holding them together would have the same tension in both directions
Activity no. 2 You can do it!
Title: Select and prepare frults/ vegetables for Jam, jelly, and marmalade making.
Directions: Perform the following tasks. Place your answer in the boxes provided.
●
Draw the preparatory methods in making sugar concentrates such as washing and
cleaning, peeling, and cutting the fruits.
WASHING & CLEANING
PEELING
CUTTING
Jams, marmalades, preserves, and conserves are fruit merchandise preserved with the aid of sugar. these merchandises fluctuate in gel consistency, substances, and the way the fruit is ready. they're easy to make at home. Jams are made from crushed or ground fruit and commonly have a thick consistency due to excessive pectin content material.
Jelly is a semisolid aggregate of fruit juice and sugar that is clear and firm enough to hold its form. The fruit gives every unfold its precise flavor and color. It additionally components the liquid to dissolve the relaxation of the important elements and furnishes some or all of the pectin and acid. high best, flavorful fruits make the fine jellied merchandise.
Marmalade is a fruit hold crafted from the juice and peel of citrus end result boiled with sugar and water. it is able to be made out of lemons, limes, grapefruits, mandarins, sweet oranges, bergamots, and other citrus end results, or any aggregate thereof marmalades.
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Two-digit natural numbers are formed, with replacement, from the digits 0 through 9. how many numbers are greater than 67?
32 of those natural numbers are greater than 65.
Natural numbers are those in mathematics that are utilized for counting and ordering. Cardinal numbers are those used for counting, and ordinal numbers are those used for ordering.
Two digit natural numbers range from 10 to 99.
Since there are replacement, each number formed from 10 to 99 is valid in this exercise.
Of those, 99-67 = 32 are greater than 65. Those number are 67,68,69,...,98,99.
Therefore, when two-digit natural numbers are formed, with replacement, from the digits 0 through 9.32 of those numbers are greater than 65.
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9. What do the results tell you about your hypothesis
The results tell you about your hypothesis and whether the assumptions about the problem are correct and aligned with the experimental results or not.
What is the scientific claim?Scientific claims are statements made in science based on an experiment.
If your theory is confirmed, you may come up with methods to improve it and test those ideas. In either case, the act of experimenting frequently generates entirely new issues to research.
The outcomes inform you of your hypothesis and whether or not your problem-solving presumptions are accurate and consistent with the experimental outcomes.
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A+2.0-microf+capacitor+that+is+initially+uncharged+is+charged+through+a+50-kilo-ohm+resistor.+how+long+does+it+take+for+the+capacitor+to+reach+90%+of+its+full+charge?
A 2.0 micr of capacitor that is initially uncharged is charged through a 50-kilo ohm resistor, it will take a time of 2.3sec to charge 90%.
What is the formula for a capacitor’s charging?C or Q may be equal. Thus, the charge needed to raise a conductor’s potential through unity is numerically equivalent to the conductor’s capacitance.
What occurs as the capacitor charges?There is no current flowing across the circuit when a capacitor is fully charged. This is true because the voltage source’s potential difference across the capacitor is also equal.
In other words, the charging current reaches zero and the capacitor voltage equals the source voltage.
The charge present on the capacitor is changing in time as follows:
q(t)=qo (1−e−tRC)
Here,
• qo is provided as the maximum charge on the capacitor.
• R=50000 Ω is the resistor value.
• C=2⋅10−6 F is the capacitance of the capacitor.
Solving for the time, we obtain:
t=−RCln(1−qq0)
Here,
• q=0.9qo is the charge on the capacitor at the moment t;
The Computation yields:
t=−5⋅10^4Ω⋅2⋅10^-6 F⋅ln(1−0.9q0)
≈0.23 s
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Which of the following parts of a motor cycle is there only to give the feedback ( information) to the driver?
The brake light is a part of the motorcycle which is there only to give the feedback ( information) to the driver.
What is a Motorcycle?This is referred to as a type of vehicle which has only two wheels and is without pedals. it is used in the transportation of people and goods from one location to another.
This vehicle has different parts and an example is the brake light which denotes that the driver is slowing down as a result of the brake being pressed which helps to reduce sand eliminate incidences of collisions and other forms of accident.
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1. The charged particles from the Sun interact with Earth's intense magnetic field at the North and South Poles, making the sky glow in colors in the effect known as:
A.the Coriolis force.
B.the magnetosphere.
C.solar wind.
D.an aurora.
A scientist shines light with energy greater than the binding energy of platinum on a thin film of it. The same scientist then repeats the experiment with a higher intensity light. According to the photoelectric effect, what should be observed?.
It could be observed that the number of electrons escaping the film is increased.
The photoelectric effect, in a sense, is the emission of electrons from a metal surface upon an incident of radiation of a suitable wavelength on it.A radiation wave is thought to be made of a number of photons each having energy ([tex]E = h\nu[/tex]) described by the Plank's constant and the frequency of that radiation.For the photoelectric effect, we could think that a single photon causes the emission of a single electron out of the surface.Higher intensity means that the radiation being consisting of a high number of waves per unit area.Therefore, for a given instance of time, the number of radiation falling on the surface or the number of single photons falling on the surface is increased meaning that the number of electrons emitted is increased.Higher intensity [tex]\Large \to[/tex] more electrons.#SPJ4
A copper wire is 40.93 cm long and weighs 1.141 g. the density of copper is 8.933 g/cm3 . what is the radius of the wire in millimeters?
The radius of the wire in millimeters is 0.33 mm.
The length of the copper wire is l.
l = 40.93 cm
The mass of the copper wire is m.
m = 1.141 g
The density of the copper is p.
p = 8.933 g/cm³
The volume of the copper of the wire is,
[tex]Density = \frac{ Mass}{ Volume}[/tex]
[tex] Volume = \frac{Mass}{ Density}[/tex]
[tex]v = \frac{m}{p} [/tex]
[tex]v = \frac{1.141}{8.933}[/tex]
= 0.15 m³
The volume of the copper wire is 0.15 m³.
The radius of the copper wire is,
The volume of the wire = π × (radius)² × height
v = π × r² × l
[tex]r ^{2} = \frac{v}{\pi \times l} [/tex]
[tex] r ^{2} = \frac{7 \times 0.15}{22 \times 40.933} [/tex]
r = 0.033 cm
The radius of the copper wire is 0.033 cm.
The radius of the copper wire in millimeters is,
1 cm = 10 mm
0.033 cm = 0.33 mm
Therefore, the radius of the wire in millimeters is 0.33 mm.
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A 14 carbon-long hydrocarbon chain with a single c=c double bond between the third and fourth carbon and carboxyl group at one end is called:______
A monounsaturated fatty acid is a 14 carbon-long hydrocarbon chain with a single c=c double bond between the third and fourth carbon and carboxyl group at one end.
MUFAs, or monounsaturated fatty acids, are a form of unsaturated fat. Fatty acids are lipid macromolecules composed of a hydrocarbon and a terminal carboxylic acid. Fatty acids are classed as lipids because they are nonpolar and hydrophobic. It can be used as an energy source by the organism through beta-oxidation in the mitochondria. Triacylglycerol also contains fatty acids. The term "mono," which means "one," refers to the fact that monounsaturated fats have only one double bond. Plant foods and animal products both include monounsaturated fat.
Olive oil is a healthy example of monounsaturated fat that many people are familiar with. At normal temperature, these lipids are generally liquid, but when cold, they solidify. Monounsaturated fats, like all other forms of fats, include nine calories per gram. Myristoleic acid is the chemical name for a 14-chain monounsaturated fatty acid (MUFA).
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Light with a frequency of 7. 30 x 1014 hz lies in the violet region of the visible spectrum. What is the wavelength of this frequency of light?.
According to electromagnetic waves, the wavelength of light is 410.96 nm.
We need to know about electromagnetic waves to solve this problem. Electromagnetic waves can propagate without media. The speed of electromagnetic in vacuum media is equal to the speed of light. Hence, the wavelength and frequency can be determined as
c = λ . f
where c is the speed of light (3 x 10⁸ m/s), λ is wavelength and f is frequency.
From the question above, we know that
f = 7.3 x 10¹⁴ Hz
By substituting the given parameter, we can calculate the frequency of microwaves
c = λ . f
λ = c / f
λ = 3 x 10⁸ / 7.3 x 10¹⁴
λ = 4.1096 x 10¯⁷ m
λ = 410.96 x 10¯⁹ m
λ = 410.96 nm
Hence, the wavelength of the light is 410.96 nm.
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Passive heat absorption refers to multiple choice the cooling of solar panels used to generate electricity. using natural materials to gather and hold heat. using water to cool nuclear power plants.
Passive heat absorption refers to multiple choice the cooling of solar panels used to generate electricity. using natural materials to gather and hold heat. using water to cool nuclear power plants.
The process of anything becoming totally absorbed into another substance is known as absorption. Adsorption and absorption are very independent processes that must not be confounded.
Any process by which a liquid or solid material penetrates the surface of another substance is known as chemical absorption. Intestinal absorption is the process by which the byproducts of digestion are transported from the gastrointestinal tract to the blood vessels, lymphatic system, and tissue cells.
A process known as absorption can be either chemically (reactive) or physically (non-reactive). A chemical response between the compounds being absorbed and those being absorbed is known as chemical absorption or reactive absorption.
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Any object that is falling through the air is called...
Answer:
Any object that is falling through the air is called a projectile
Three seconds after a gun is fired, the person who fired the gun hears an echo. how far away (in m) was the wall that reflected the sound of the gunshot? assume the speed of sound is 343 m/s.
The faraway was that reflected the sound of gunshot is 510m.
A sort of energy created by vibrations is sound. The vibration of an object causes the molecules of the air around it to move. These molecules collide with molecules nearby, causing those molecules to vibrate as well. As a result, they collide with more surrounding air molecules. Divide the sound's speed by the amount of time needed to hear the echo to determine how far the surface is. 1020 m/s equals 340 m/s divided by 3 s.
1020/3= 340 m/s
The distance should be divided by 2, though, as the sound is reflected. Received upto
510m that is
1020/2 = 510m
In order to evaluate the exposure to gunfire sound, the peak sound pressure level (SPL), spreading of the pressure wave, and other physical features of the impulse noise from firearms were researched in real-world shooting scenarios
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a sample of radioactive material emits 400000 particles over a period of 20 minutes calculate the activity of the source in Becquerel
The activity of the source in Becquerel is 333.3Bq
What is Activity ?The number of nuclei that disintegrate or decay per unit time is known as Activity.
Given that a sample of radioactive material emits 400000 particles over a period of 20 minutes.
N = 400000 particlest = 20 min = 20 x 60 = 1200 sActivity A = dN/dt
A = 400000 / 1200
A = 333.3 particles / s
A = 333.3 Bq
Therefore,
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A small exercise area for dogs is 27 meters long and 3.2 meters wide. What is the area of the dog run in square meters?
The area of the dog run in square meters is 86.4 m².
What is the area of a shape?The area of a given shape is the amount of space enclosed within the given shape.
The area of different shapes is calculated using different formulas.
Some formulas for calculating the area of shape area;
Area of Square = side * sideArea of rectangle = length * breadthArea of circle = πr²The given exercise area is a rectangle.
The area of the exercise area = length * breadth
Length = 27 m
breadth = 3.3 m
Area = 27 * 3.2
Area = 86.4 m²
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_______________ carries the electrons from nadh dehydrogenase to cytochrome c reductase.
NADH carries the electrons from NADH dehydrogenase to cytochrome c reductase.
Nicotinamide adenine dinucleotide (NAD) and hydrogen (H) are two molecules that naturally occur in the body and are involved in the chemical reaction that produces energy. Supplements containing NADH are used medically.
NADH is used to treat dementia and Alzheimer's disease as well as to enhance mental clarity, alertness, attention, and memory. NADH is utilized to treat chronic fatigue syndrome and enhance athletic performance due to its function in energy production (CFS).
Our bodies' production of NADH is involved in the body's process of generating energy. While there is some data that supports NADH supplements may lower cholesterol, lower blood pressure, aid in the treatment of chronic fatigue syndrome by supplying energy, and improve Parkinson's disease patients' nerve signals.
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NADH carries the electrons from NADH dehydrogenase to cytochrome c reductase.
Nicotinamide adenine dinucleotide (NAD) and hydrogen (H) are two molecules that naturally occur in the body and are involved in the chemical reaction that produces energy. Supplements containing NADH are used medically.
NADH is used to treat dementia and Alzheimer's disease as well as to enhance mental clarity, alertness, attention, and memory. NADH is utilized to treat chronic fatigue syndrome and enhance athletic performance due to its function in energy production (CFS).
Our bodies' production of NADH is involved in the body's process of generating energy. While there is some data that supports NADH supplements may lower cholesterol, lower blood pressure, aid in the treatment of chronic fatigue syndrome by supplying energy, and improve Parkinson's disease patients' nerve signals.
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What is the percent uncertainty in the measurement 5.8 +_ 0.25 m
The percent uncertainty in the measurement ( 5.8 ± 0.25 m) is 4.31%.
By definition, a percentage is a value out of a possible 100. The measurement's absolute error is multiplied by the measurement's value to determine the percentage. The result is then multiplied by 100.
Percent uncertainty:
Uncertainty is stated as a percentage, or fractional uncertainty is fractional uncertainty multiplied by 100.
Consider the measurement,
5.8 ± 0.25 m
Let 5.8 ± 0.25 m = x ± Δx
Then,
x = 5.8 and Δx = 0.25
The percent uncertainty will be:
% uncertainty = [ Δx / x ] × 100
% uncertainty = [ (0.25 m) / ( 5.8 m) ] × 100
% uncertainty = ( 0.04310344827 ) × 100
% uncertainty = 4.31 %
Therefore, the percent uncertainty of the measurement 5.8 ± 0.25 m is 4.31 %.
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Henry heavyweight weighs 1700 n and stands on a pair of bathroom scales so that one scale reads twice as much as the other
The scales readings are 1133.3 N and 566.6 N.
Weight = 1700 N
Calculating the scale reading is necessary.
We are aware that he weighs twice as much on one scale, for a total of 1700 N. These can be expressed as two concurrent equations.
W=scale1+scale2
1700=scale1+scale2...(i)
scale1=2x scale2...(ii)
Put the value from equation (II) into equation (I)
1700=2x scale2+scale2
1700=3scale2
[tex]scale2=\frac{1700}{3}[/tex]
scale2= 566.66 N
Put the value from equation (II) into equation (I)
1700= scale1+566.66
scale1= 1700-566.66
scale1= 1133.33N
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