The population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
We have the following function -
p(t) = 5 [tex]$e^{tk} }[/tex]
We have to determine the total population after 7 days.
What is the general meaning of Growth rate?In general, growth rate is the measurement of how fast something increases in size during a particular period.
According to the question, we have -
p(t) = 5 [tex]$e^{tk} }[/tex]
Now -
for t = 7 -
p(7) = 5 [tex]$e^{7k} }[/tex]
where k is growth rate.
Hence, the population after seven days will be p(7) = 5 [tex]$e^{7k} }[/tex].
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What is the electric flux passing through a gaussian surface that surrounds a 0.075 c point charge?
An 0.075 c point charge's surrounding gaussian surface's electric flux is 8.5 ×10⁹Nm²/C.
Which is a gaussian surface?In three dimensions, the Gaussian surface is referred to as a closed surface where the flux of a vector field may be determined. The gravitational field, the electric field, or the magnetic field are all examples of these vector fields.
Why is a Gaussian surface drawn?We build a fictitious Gaussian surface around the supplied surface when the surface of which an electric field or flux must be established is asymmetrical or the surface area is challenging to obtain, such as the surface area for an infinitely long wire or plane. The Gaussian surface is said to utilize symmetry the best.
When a charge q is surrounded by a gaussian surface, the electric flux that passes through it is
[tex]\phi=q / \epsilon 0[/tex]= 0.075 / ( 8.85 ×10⁻¹²)
= 8.5 ×10⁹Nm²/C.
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6. Predicting If you added salt instead of sugar
to a pitcher of lemonade, how would this
change the properties of the lemonade?
—NEED HELPP NOWW
also wouldn’t the properties stay the same because every substance has the the same properties and table salt and table sugar are examples of pure substance??
The lifespan of lemonade is significantly extended if salt is used in place of sugar. In other words, it lasts a lot longer than it would typically.
Despite having a similar appearance, salt and sugar taste considerably differently. Chemically, they differ greatly as well. Salt is an ionic compound comprised of sodium and chloride. Contrarily, sugar contains covalent bonds and is made up of carbon, oxygen, and hydrogen. Similar to adding a pinch of the traditional sodium chloride to baked goods like pies or cakes, adding salt to lemonade can help enhance the sweet flavors and lessen any bitterness that may be present.
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Starting from rest and moving in a straight line, a runner achieves a velocity of 14 m/s in 10 seconds. what is the average acceleration of the runner?
The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]
An object is said to be accelerated if there is a change in its velocity. The change in the velocity of an object could be an increase or decrease in speed or a change in the direction of motion.
Acceleration is a vector quantity as it has both magnitude and direction. It is also the second derivative of position with respect to time or it is the first derivative of velocity with respect to time.
Average acceleration refers to the rate at which the velocity changes. We divide the change in velocity by an elapsed time to find out the average acceleration of anything.
given
final speed = 14 m/s
initial speed = 0
time taken = 10 seconds
Average acceleration = change in speed / change in time
= final - initial / time
= 14 - 0 / 10 = 1.4 m/[tex]s^{2}[/tex]
The average acceleration of the runner will be 1.4 m/[tex]s^{2}[/tex]
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Infrared radiation has wavelengths ranging from about 800 nm to 1 mm. What is the corresponding frequency of radiation of a wavelength of 970 nm?.
The corresponding frequency of infrared radiation of a wavelength of 970 nanometer (nm) is 3 x 10^14 Hertz.
The relation between the frequency and wavelength of a radiation is as follows:
c = f x λ
Here c = speed of light = 3 x 10^8 m/s
So, the frequency of a given wavelength can be calculated by applying the above formula,
Putting λ = 970 nm = 970 x 10^-9 m
3 x 10^8 m/s = f x 970 x 10^-9
f = 3 x 10^14 Hz.
Hence, the corresponding frequency of radiation of a wavelength of 970 nm is 3 x 10^14 Hertz.
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The distance and direction an object moves from its starting point?
Displacement has direction as well as magnitude. Distance traveled is the total length of the path traveled between two positions.
Approximately how many women in the sample have a body temperature lower than 98 degrees fahrenheit?
In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.
The correct option is D.
What is Graph?In mathematics, and much more specifically through the graph theory, a chart is a structure that essentially consists of a set of objects, some of which are paired together to form "related" objects. The related pairs of vertices are known as edges, and the objects are equivalent to mathematical abstractions known as vertices.
What purposes does a graph serve?Graphs are frequently used to visually represent data relationships. Data that are too numerous or complex to be adequately described in the text and in a smaller amount of space are presented using graphs.
What do graph types mean?Graphs come in a variety of shapes and sizes, including connected and disconnected graphs, bipartite graphs, weighted graphs, directed and undirected graphs, and simple graphs.
According to the given information:As we can see in the graph:
In class limit 96-97 = 3
In class limit 97-98 = 12
Therefore, 3+12 = 15
Approximately 15 women.
In the sample, 15 women have body temperatures that are lesser than 98 degrees Fahrenheit.
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I understand that the question you are looking for is:
This histogram shows body temperatures, in degrees Fahrenheit, for 65 healthy adult women. frequency 40 97 98 99 temperature 100 101 Approximately how many women in the sample have a body temperature lower than 98 degrees Fahrenheit?
A. 45
B. 50
C. 20
D. 15
The wavelength of green light is about 500 nanometers. what is this length in meters?
By conversion unit, the length in meters of green light wavelength is 5 x 10¯⁷ m.
We need to know about a conversion unit to solve this problem. Meter is the SI unit for length but there are other units which able to determine the length such as nanometer. The conversion unit of nanometer to meter is
1 nm = 10¯⁹ m
From the question above, we know that the wavelength of green is 500 nanometers. in a meter, we can write as
500 nm = 500 x 10¯⁹ m
500 nm = 5 x 10¯⁷ m
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Marcus is driving his car at 15 km/h when he brakes suddenly. he comes to a complete stop in 2 seconds. what was his acceleration in km/h/sec? was his acceleration positive, negative, or zero?
When Marcus brakes suddenly and comes to a complete stop in 2 seconds the acceleration in km/h/sec is: -7.5 km/h/sec it is negative because it is decelerating
The formula and procedure we will use to solve this exercise is:
a = (vf - vi) /t
Where:
a = accelerationvf = final velocityvi = initial velocityt = timeInformation about the problem:
vi= 15 km/hvf = 0 km/ht = 2 seca=?Applying the acceleration formula we have:
a = (vf - vi) /t
a = (0 km/h - 15 km/h) /2 sec
a = (-15 km/h) /2 sec
a = -7.5 km/h/sec
Acceleration is negative because it is decelerating
What is acceleration?It is a physical quantity that indicates the variation of velocity as a function of time, it is expressed in units of distance per time squared e.g.: m/sec2 ; km/h2
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When you push against a wall with your fingers, they bend. Identify the force or forces involved.
Which ball takes a greater force to stop: a slow-moving ball or a fast-moving ball of the same mass? explain your reasoning in terms of newton's second law.
The fast-moving ball will require a greater force to stop than the slow-moving ball of the same mass because the fast-moving ball has more acceleration than the slow-moving ball.
Newton's second law of motion states that "the magnitude of the force acting on an object is equal to the mass of that object and and the acceleration with which it moves.
In other words, the rate of acceleration with which a body moves is directly proportional to the force needed to stop it, and inversely proportional to the mass of the body. Thus, the faster an object moves, the greater the force that will be required to stop it.
That is why the fast-moving ball in the question needed a greater force to stop it than the slow-moving ball, even though they are of the same mass.
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For a fixed (constant) rate of heat transfer in one-direction a material with a very large thermal conductivity will have what relative size temperature gradient?
For a fixed (constant) rate of heat transfer in one-direction a material with a very large thermal conductivity will have small relative size temperature gradient.
What is thermal conductivity?
A material's capacity to conduct heat is measured by its thermal conductivity, or k [W/mK]. The rate of heat transfer through a unit thickness of material per unit area per unit temperature difference is known as the thermal conductivity.The thermal conductivity is measured by experiments and varies with temperature. When certain minerals become superconductors, their thermal conductivity dramatically changes at temperatures close to absolute zero. A substance that exhibits consistent qualities in all directions is said to be isotropic. Materials used as insulators primarily serve to block the flow of heat. Their thermal conductivity is low.Learn more about the Thermal conductivity with the help of the given link:
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Explain What is economics?
Compare collinear points and coplanar points- ar ecollinear points also coplanar?
The collinear points are also known as coplanar but coplanar cannot be collinear all the time.
What is collinear points and coplanar points?The difference between Collinear Points and Coplanar Points is that the former a states that if three or more points lies in a straight line and a line on which the points lie, especially if it is related to a geometric figure such as triangle, is also called an axis while the latter are simply the same as the meaning of the Collinear but lies on the same plane.
Collinear points lie on the same line and Coplanar points also lies in the same plane.
For example, we have a image which has 3 points A, B and C on the plane M. Those points and plane lies on the same line. So, that it can be known as collinear and coplanar.
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The large-scale transfer of material downslope under the pull of gravity is called:______.
The large-scale transfer of material downslope under the pull of gravity is called a mass movement, also known as mass wasting, the quick or gradual sinking of the Earth's ground surface in a primarily vertical direction, or bulk movements of soil and rock debris downslopes in reaction to the pull of gravity.
What does the term "mass movement" mean? What does the term "material moving downward under the influence of gravity" mean?The meaning of a mass movement:
An organized movement is made up of many people, especially those who do not belong to the social elite of a given society, intending to bring about significant changes to the social, economic, or political institutions that already exist.
The mass movement also refers to the downward motion of earth elements caused by gravity. If the stress applied is greater than the capacity of the substance to hold it in place, the earth's materials will detach and migrate. Shear strength is a gauge of an earth material's resistance to being moved.
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How will you make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution?
To make a 200 ml solution of 5 mm sucrose from a 100 mm sucrose solution we have to take a volume of: 10ml of the concentrated solution
To solve this problem, the formula and the procedure that we have to use is:
c1 * v1 = c2 * v2
Where:
c1= concentration of the concentrated solutionv1 = volume of the concentrated solutionc2 = concentration of the diluted solutionv2 = volume of the diluted solutionInformation about the problem:
c1 = 100 mmv1=?c2 = 5 mmv2=200 mlApplying the dissolution of concentrations formula and clearing the volume of the concentrated solution (c1) we get:
c1 * v1 = c2 * v2
v1 = (c2 * v2)/ c1
v1 = (5 mm * 200 ml)/ 100 mm
v1= 10 ml
What is a solution?In chemistry a solution is known as a homogeneous mixture of two or more components called:
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Diiodine pentaoxide is used as an oxidizing agent that converts carbon monoxide to carbon dioxide. what is its chemical formula?
The chemical formula of diiodine pentoxide is I2O5.
The chemical compound with the formula I2O5 is known as iodine pentoxide. The only stable iodine oxide is this one, which is the anhydride of iodic acid. It is made by dehydrating iodic acid in a stream of dry air at 200 °C.
2HIO3 = I2O5 + H2O.
At ambient temperature, iodine oxide (I2O5), which is created by dehydrating iodic acid (HIO3), is a white, crystalline solid that is stable up to 300°C (573K). I2O5 is a potent oxidizer. Its structure is described below. Iodine pentoxide is an oxidizing agent that transfers oxygen atoms to substrate. It functions as an oxidizing agent and speeds up the oxidation process by transferring oxygen atoms.
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At which lettered point or points is the object moving to the left, if the positive x-direction corresponds to its rightward movement?
At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.
Δx = [tex]X _{2}[/tex] - [tex]X_{1}[/tex]
where,
Δx = Change in position
[tex]X _{2}[/tex] = Final position
[tex]X_{1}[/tex] = Initial position
If Δx is positive, the object is moving forwards ( Right ).
If Δx is negative, the object is moving backwards ( Left ).
If the curve is moving from top to bottom Δx will be negative and if the curve is moving from bottom to top Δx will be positive.
So, in this given curve, at the points B, C and D, the curve is moving from bottom to top meaning that the object is moving to the right and at the point F, the curve is moving from top to bottom meaning that the object is moving to the left.
Therefore, At F the object moving to the left, if the positive x-direction corresponds to its rightward movement.
The given question contains no distance - time graph. I considered the attached image as the graph.
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Can you physically touch a person without that person touching you with the same amount of force?.
No, you cannot physically touch a person without that person touching you with the same amount of force.
According to Newton's third law of motion, for every action there is an equal and opposite reaction which means that when two objects come in physical contact with each other the exert forces on one another that is equal in terms of magnitude and opposite in terms of direction.
So, in this case you physically touch a person with x amounts of force and basically they exert the same amount of force on you.
Therefore, you cannot physically touch a person without that person touching you with the same amount of force.
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A physics student places an object 6.0 cm from a converging lens of focal length 9.0 cm. what is the magnitude of the magnification?
The magnitude of the magnification for converging lens is 3
Converging lens is convex lens whereas diverging lens is a concave lens.
Given:
distance of object from converging lens = 6.0 cm
focal length = 9.0 cm
To Find:
magnitude of the magnification
Solution: Magnification is the ability of a microscope to produce an image of an object at a scale larger (or even smaller) than its actual size.
Magnification (m) = h / h' Here, h is the height of the object and h' is the height of the object. Besides, it can also be related to the object distance and image distance. So, it can be written as: m = -v/u
Using the formula for magnitude of magnification
1/f = 1/d° + 1/di
M = - d1/d° = 3
Hence, magnitude of the magnification is 3
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11. A proton is uniformly accelerated from rest to 80.0% of the speed of light in
18 hours, 6 minutes, 45 seconds. What is the acceleration of the proton?
The acceleration of the proton is 3681 m/s^2
What is the acceleration?The term acceleration has to do with the change in the speed of the body with time. We can see here that the proton started from rest and was accelerated to 80.0% of the speed of light in 18 hours, 6 minutes, 45 seconds.
Initial velocity of the proton = 0 m/s (from rest)
Final velocity of the proton = (0.8 * 3 * 10^8 m/s) = 2.4 * 10^8 m/s
Time taken = 18 hours, 6 minutes, 45 seconds or 65205 s
Acceleration = 2.4 * 10^8 m/s - 0 m/s/65205 s
= 3681 m/s^2
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Which voltage would cause a current of 0.5 ampere in a circuit that has a resistance of 24 ohms? question 3 options:
a. 48 v
b. 6.0 v
c. 24 v
d. 12 v
By Ohm's Law, the voltage across the circuit is D. 12 v.
We need to know about Ohm's Law to solve this problem. Ohm's Law describes the relationship between voltage and current. It can be determined as
V / I = R
where V is voltage, I is current and R is resistance.
From the question above, we know that
I = 0.5 A
R = 24 Ω
By substituting the following parameters, we can calculate the voltage
V / I = R
V = I x R
V = 0.5 x 24
V = 12 volt
Hence, the voltage is 12 volts.
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A compound held together by ionic bonds is called a
a. diatomic molecule
b. polar compound
c. salt
d. covalent molecule
Answer:
its probably covalent compound
A 6 kg object has a speed of 24 m/s. What is its kinetic energy?
Answer:
K.E = 1/2mv²
K.E = 1/2 * 6 * 24²
K.E = 1728J
Explanation:
Astronauts brought back 500 lb of rock samples from the moon. how many kilograms did they bring back? 1 kg = 2.20 lb
A. 227 kg
B. 498 kg
C. 500 kg
D. 1,100 kg
Answer:
1100 kg
Explanation:
500 lb x 2.20lb (1kg) =1100kg
Increase the distance between you and the car ahead of you to more than 3 seconds when __________.
When the road and weather are ideal, the three-second rule is advised for passenger cars. When driving in bad weather or when visibility is poor, slow down even more and widen your following space. If you are operating a bigger vehicle or pulling a trailer, you should also widen your following distance.
What is distance?
Distance is a measure of how far away two objects or locations are using numbers. Distance can refer to a physical length in physics or to an estimate based on other factors in ordinary language (e.g. "two counties over"). It is occasionally used to indicate the distance between two points[tex]{\displaystyle |AB|}|AB|[/tex]. The terms "distance from A to B" and "distance from B to A" are frequently used interchangeably. A distance function or metric is a technique to describe what it means for components of a space to be "near to" or "far away" from each other in mathematics. It is an extension of the idea of physical distance.
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Two identical toy race cars drive horizontally of the top of a table from the same initial height, but with different initial velocities. Which one reaches the ground first?
A. The race cars will hit the ground at the same time.
B. Which one hits the ground first depends on the initial height.
C. The race car with the slower launch speed will hit the ground first.
D. The race car with the faster launch speed will hit the ground first.
If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities, then the race cars will hit the ground at the same time, therefore the correct answer is option A.
What is gravity?It can be defined as the force by which a body attracts another body towards its center as the result of the gravitational pull of one body and another.
As given in the problem If two identical toy race cars drive horizontally on the top of a table from the same initial height, but with different initial velocities,
The final velocity of the race cars depends only on the height, as the height is the same for both the cars, the race cars will hit the ground at the same time.
Thus, the correct answer is option A.
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Answer: The answer is A
Explanation:
On newton's color wheel, colors that lie directly between a secondary and primary are called?
The colors that fall directly between a secondary and a primary on Newton's color wheel are referred to as intermediate colors
Isaac Newton revisited this same white sunlight's rainbow-colored dispersion when he was 23 years old. He noticed that the white sunshine was divided into red, orange, yellow, green, cyan, and blue light when he held a prism of glass in the direction of a beam of sunlight streaming through a hole in the blind of his darkened chamber. He found that the red, green, and blue areas of his rainbow's three distinct colors could be merged to create white light using prisms and mirrors. These are the fundamental hues, as he put it. Secondary hues were created when any two of these were blended. He noticed cyan-colored light when he blended blue and green light.
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The frequency of new cases of a disorder within a given time period is referred to as:______
Incidence is referred to as the frequency of new cases of a disorder in a given period of time.
What is incidence?The prevalence of an illness over a specific time period can be calculated using the incidence metric, which measures disease prevalence. In light of this, the incidence of a disease is the quantity of newly discovered cases. An illness' incidence rate is calculated by dividing the number of people at risk for the illness by the number of new cases of the illness. Out of 200 women who participated in the study (and who were free of breast cancer at the start of the study period), five would be diagnosed with breast cancer during the course of a year. In this case, the incidence of breast cancer in this cohort would be 0.025. (Or 2,500 per 100,000 study years among women)
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How long does it take a message to travel from earth to a spacecraft at mars at its closest to earth (about 56 million km)?
A message to travel from earth to a spacecraft at mars as its closest to earth is about 3.11 minutes.
To find the time, the given values are,
Distance = 56 million kilometers.
What is distance?The amount of space or the length between two points or two objects is said to be distance.The length of displacement between two points.Distance can be measured through meters.Distance is a scalar quantity.
Here,
A message needs to be traveled to mars from earth and the distance between Earth and Mars (given) s = 56 million km
Speed of light = 3.00—10^5 km/ sec
As We know Velocity,
Velocity = distance / time
=> time = distance / velocity
Time taken t = 56 million km / 3.00—10^5
= 56 x 10^6 / 3 x 10^5
= 186.666 sec
Time taken t = 3.11 min.
So, the message to travel from earth to a spacecraft at mars as its closest to earth is about 3.11 minutes.
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What magnitude charge creates a 3.20 n/cn/c electric field at a point 3.40 mm away?
Magnitude charge creates electric field at a point 3.40m away is 4.11×1⁻⁹C
Electric field - It is defined as electric force per unit charge.
The direction of field is taken to be the direction of the force.
The electric field is outward from a positive charge and in towards negative point charge.
To calculate magnitude charge. Let us take electric field
E = Kq/r²
where
K = electric field constant
q = magnitude of charge
r = distance of separation
E = Kq/r²
Er² = Kq
q = Er²/K -------1.
given values are
E =3.20 n/c
r = 3.40 m
q = 9.0 × 10⁹
using these values in equation 1 we get
q = 3.20N/C * (3.40 m)^2/9.0 × 10⁹
q = 4.11×1⁻⁹C
Magnitude charge that creates electric field at a point 3.40m away is 4.11×1⁻⁹C.
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