Invasive species often display a wave of advance as they colonize new areas. Mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2 Dr , where r is the reproductive rate of individuals and D is a parameter quantifying dispersal. Calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r.
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The derivative is [tex]v(r)' = \sqrt{\frac{D}{r} }[/tex]
The correct option is option 1
Explanation:
From the question we are told that
The equation of the speed of the wave of invasion is [tex]v(r) = 2 \sqrt{Dr}[/tex]
=> [tex]v(r) = 2 (Dr)^{\frac{1}{2} }[/tex]
=> [tex]v(r) = 2 * D^{\frac{1}{2} } r^{\frac{1}{2} }[/tex]
Here r is the reproductive rate and the D is the parameter qualifying dispersal
Generally the derivative of this speed is mathematically represented as
[tex]v(r)' = \frac{2}{2} * D^{\frac{1}{2} } * r^{-\frac{1}{2} }[/tex]
=> [tex]v(r)' = \sqrt{\frac{D}{r} }[/tex]
This derivative of the speed represents the rate of change of the invasive speed with respect to the the reproductive rate of an individual
Related Questions
How many significant figures? 53,598 m/sec
Answers
Answer:
This has 5 significant figures.
Write a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs.
Answers
Answer:
Please find the answers in the below explanation
Explanation:
Example of a multiple-choice question that requires the reader to understand that velocity and acceleration can have opposite signs is;
to consider a body that is moving with a speed of 20m/s and coming to rest by decelerating at about 4m/s^2
in this scenario,
The acceleration will be negative. That is, -4m/s^2
The final velocity V will be equal to zero. that is, V = 0
And the initial velocity U will be positive, That is, U = 20m/s
In the example above, you will notice that the initial velocity and the acceleration are of the opposite sign.
The French high-speed train travels at 300 km/h. How long
(in hours) would it take the train to travel 1500 km at this
speed?
Answers
Answer:
given , v = 300 km/hr; distance d = 1500 km; then time t = d/v = 1500/300 = 5 hrs
Explanation:
What is the correct answer?
Answers
Answer:
biking / jogging/ running, walking
Explanation:
Cardio workouts can strengthen your heart and blood vessel
A writer on the Internet says he thinks people can stay healthy by eating
nothing but potatoes. How can you know whether this is truly possible?
Answers
Answer:
The answer is C
Explanation:
because humans have certain nutritional needs and you have to figure out if potatoes meet those needs
An object is tossed downward at 5 m/s. How far will it go after 3 s?
please respond quick
Answers
Answer:
The answer is 15 mExplanation:
The distance covered by an object given it's velocity and time taken can be found by using the formula
distance = velocity × timeWe have
distance = 5 × 3
We have the final answer as
15 mHope this helps you
What is the reason for converting units?
Answers
Answer:
Unit conversion is very important because the rest of the world other than three countries uses the metric system. So, converting units is important in science because it uses the metric system. The metric system is measurements like cm, m, l, mL, etc...
Explanation:
Units can: Help to show another person the exact amount you have. Assist in solving a mathematical problem, especially in chemistry, where you can follow the units to get to the answer. Show which measurement system the person is using (i.e. metric or standard)
Hope this helps :)
If a hypothesis is.......
additional tests should be done to ensure accurate results.
a. correct
b.incorrect
c. unknown
d. inconclusive
Answers
Answer:
a correct
Explanation:
a hypothesis is a supposition made of a basis of limited evidence
PLS ANSWER ASAP!!
A player punts a football at an angle of 30 degrees with an initial velocity of 20.0
m/s. What is the max range of the ball horizontally?
O 34.0 m
O24.0 m
8.30 m
0 20.0 m
Answers
Answer:
The closest choice to the answer is 34.0 m
Explanation:
Projectile Motion
It's the type of motion experienced by an object that is launched near the Earth's surface and moves along a curved path exclusively under the action of gravity.
Being vo the initial speed of the object, θ the initial launch angle, and g=9.8m/s^2 the acceleration of gravity, then the Range or maximum horizontal distance traveled by the object is:
[tex]\displaystyle d={\frac {v_o^{2}\sin(2\theta )}{g}}[/tex]
The football is kicked at an angle of 30° with an initial velocity of 20 m/s. Replacing those values:
[tex]\displaystyle d={\frac {20^{2}\sin(2\cdot 30^\circ)}{9.8}}[/tex]
[tex]\displaystyle d={\frac {400\sin(60^\circ)}{9.8}}=35.35\ m[/tex]
The closest choice to the answer is 34.0 m
What does the color of a star indicate
Answers
Answer:
Its temperature
Explanation:
Answer:
The stars age
Explanation:
As stars age, they run out of hydrogen to burn, decreasing the amount of energy they give off. So the younger stars can look bluer while older ones look more red.
Hope this helps :3
A student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω. How much current flows through the circuit?
Answers
Answer:
0.3
Explanation:
V = I R
1.5= I (50)
I = 1.5/50
I = 0.3 J
If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω, then the current flows through the circuit would be 0.12 Amperes.
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
As given in the problem If a student connects four AA batteries (1.5 V each) in series to light up a light bulb. The circuit has a resistance of 50 Ω.
V = IR
6 = 50 × I
I = 0.12 ampere
Thus, the current flowing through the circuit would be 0.12 ampere.
link given below ;
Learn more about resistance here, refer to the
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You use a knife to cut a piece of bread. What kind of simple machine are you
using?
A. Wedge
B. Inclined plane
C. Screw
O D. Lever
Answers
Answer:
the answer is A.) Wedge
A knife to cut a piece of bread is a A. Wedge
What is a simple machine?
A simple machine, any of several devices with few or no moving parts that are used to modify motion and the magnitude of a force in order to perform work.
since , a wedge is a simple machine with two inclined planes which when put together forms a sharped edge, which forms a triangular shaped tool which can be used to separate portion of two objects .
hence , a knife to cut a piece of bread is a A. Wedge
learn more about simple machine
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How do you calculate the radius of a planets orbit with mass and time ?
Answers
Answer:
By observing the time between transits, we know the orbital period. Kepler's Third law can be used to determine the orbital radius of the planet if the mass of the orbiting star is known (R3=T2−Mstar/Msun, the radius is in AU and the period is in earth years).
Explanation:
hope this helps!
WILL MARK BRAINLIEST PLS HELP
What affect does the Earth’s rotation have on objects that are near the equator?
(1 Point)
It applies a force that can reduce the effects of gravity.
It applies a force that can increase the effects of gravity.
It applies a force that can increase the mass of an object.
It applies a force that can reduce the mass of an object.
Answers
Answer:
Our planet's rotation produces a force on all bodies moving relative to theEarth. Due to Earth's approximately spherical shape, this force is greatest at the poles and least at the Equator. The force, called the "Coriolis effect," causes the direction of winds and ocean currents to be deflected.
Hope this helps!
So Can Someone Help Me Please Asap!!!!!!!!!!!!!!!!!!!!!!!
What are the rules for the game badminton??????????
Answers
Answer:
The Laws of Badminton
A match consists of the best of 3 games of 21 points.
Every time there is a serve – there is a point scored.
The side winning a rally adds a point to its score.
At 20 all, the side which gains a 2 point lead first, wins that game.
At 29 all, the side scoring the 30th point, wins that game.
What is the method of charging called?
Answers
A tree is turned into sawdust is that physical change or chemical change?
Answers
Answer:
Physical change
Explanation:
A physical change can be reversible where the original form of the matter can be restored, or irreversible where the original form cannot be restored. Therefore, sawdust is a physical change.
In space, rockets move by shooting air backwards. What moves faster the air or the ship?
Answers
Answer:
Its being pushed.
Explanation:
There is no air but its being pushed by the flames coming from the rocket.
Clouds in our atmosphere cause us to see the different phases of the moon.
True
False
Answers
Answer:
False
Explanation:
:)
Answer:
The answer is false
Explanation:
The clouds have nothing to do with the changes in the phases of the moon but, rather the postioning of the sun and the moon regarding revolution and the spinning of the earth on it axis.
I hope this helps you good luck and have a good day.
How many Stages of cancer are they?
Answers
Answer:
most cancers have four stages (1-4)
but some cancers start at 0 and end at 4 so they have five stages (0-4)
Which force is the strongest force inside an atom?
O A. Strong nuclear
B. Electromagnetic
C. Gravity
D. Weak nuclear
Answers
Inside an atom, the strongest force is the Strong Nuclear Force, indicated by option A.
The strong nuclear force is one of the fundamental forces of nature and plays a crucial role in binding the subatomic particles, specifically protons and neutrons, within the atomic nucleus.
The strong nuclear force is responsible for overcoming the electrostatic repulsion between positively charged protons in the nucleus. It acts over extremely short distances, on the order of femtometers (10^-15 meters), and is characterized by its strength and short range. It is about 100 times stronger than the electromagnetic force, which is responsible for the interaction between charged particles.
The electromagnetic force, option B, is the second strongest force inside an atom. It is responsible for the interaction between charged particles, such as electrons and protons. The electromagnetic force is involved in holding the electrons in orbit around the nucleus and determines the chemical properties of atoms.
Gravity, option C, is the weakest force among the fundamental forces. While gravity plays a significant role on a macroscopic scale, such as the gravitational attraction between planets or objects on Earth, its influence at the atomic level is negligible compared to the strong nuclear and electromagnetic forces.
The weak nuclear force, option D, is another fundamental force, but it is responsible for processes such as radioactive decay and neutrino interactions. While it is involved in certain nuclear reactions, it is not as strong as the strong nuclear force.
In summary, the strong nuclear force is the strongest force inside an atom, overcoming the electrostatic repulsion between protons and binding the atomic nucleus together. Option A.
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What is the momentum of a 15 kg tire rolling down a hill at 3 m/s?
5 kg • m/s
18 kg • m/s
45 kg • m/s
60 kg • m/s
Answers
Answer:
The answer is 45 kg • m/sExplanation:
The momentum of an object can be found by using the formula
momentum = mass × velocityFrom the question
mass = 15 kg
velocity = 3 m/s
We have
mass = 15 × 3
We have the final answer as
45 kg • m/sHope this helps you
Answer:
45 kg • m/s
Explanation:
. A person 200 m from a store walks directly away from the
store at a constant velocity of 2.5 m/s for 65 s. How far is
the person from the store now?
Answers
Answer:
362.5 m away
Explanation:
Given a constant velocity of 2.5m/s, a time of 65s, and the initial displacement 200m or initial position. Displacement is basically the difference between the objects position regarding time.
The final displacement is found by: s = 1/2(v+v1)t + s1. Since the velocity is constant, the final velocity will be the same as the initial. S = 1/2(2.5m/s+2.5m/s)65 + 200 m = 2.5m × 65 m + 200m = 162.5m + 200m = 362.5m
a ship travels from savannah georgia to lisbon spain at a rate of 27.6 miles/hour. if the distance covered is 3982 miles how long did the trip take
Answers
Answer:3982/27.6=144.275
Explanation:The trip took 144 hours as 3982/27.6 is about 144.
1. A baseball is thrown horizontally at 45 m/s. The ball slows down at a rate of 5 m/s?
a. How long is the ball in the air before coming to rest?
b. How far did the ball travel in that time?
2. A car starts from rest and accelerates at 9.54 m/s? for 6.5 seconds.
a. How much distance was covered by the car?
b. What was the final velocity of the car?
3. An arrow leaves a bow with a speed of 42 m/s. Its velocity is reduced to 34 m/s by the time it
hits its target
a. What was the acceleration of the arrow?
b. How much distance did the arrow travel over if it were in the air for 2.4 seconds?
c. What was the average velocity of the arrow?
4. A ball starts from rest and rolls down a hill with a constant acceleration of 3.0 m/s?.
a. What is its speed at the end of 4.0 s?
b. How far did the ball move in that 4.0 s?
Answers
Answer:
Explanation:
a )
initial velocity u = 45 m/s
acceleration a = - 5 m/s²
final velocity v = 0
v = u - at
0 = 45 - 5 t
t = 9 s
b )
s = ut - 1/2 at²
= 45 x 9 - .5 x5x 9²
405 - 202.5
202.5 m
2 )
a )
s = ut + 1/2 a t²
u = 0
s = 1/2 at²
= .5 x 9.54 x 6.5²
= 201.5 m
b )
v = u + at
= 0 + 9.54 x 6.5
= 62.01 m / s
3
a )
acceleration = (v - u) / t
= (34 - 42) / 2.4
= - 3.33 m /s²
b )
v² = u² - 2 a s
34² = 42² - 2 x 3.33² s
s = 27.41 m
c )
Average velocity
Total displacement / time
= 27.41 / 2.4
= 11.42 m /s
4 )
a )
v = u + at
v = 0 + 3 x 4
= 12 m /s
b )
s = ut + 1/2 a t²
= o + .5 x 3 x 4²
= 24 m
in a meter of 3 how many beats are in a measure also this is for music
Answers
Answer:
3 i think
Explanation:
hope this helps also Hiiii
You are in an airplane circling an airport at a speed of 600 km/hour on a circular path of radius 3 km. A stewardess accidentally drops a cup , of mass .1 kg, on the floor. She releases it from rest at a perpendicular distance of 1.5 m from the floor. (That is to say, the shortest distance from the cup to a spot on the floor is 1.5 m.)
a) Show that the cup hits the closest point on the floor when it falls to good approximation.
b) What is its speed, relative to the airplane, when it hits the floor? (That is what is the magnitude of the velocity of the cup, measured in the reference frame of the airplane?) Show that it is somewhat higher than it would be if the cup dropped the same distance in an inertial reference frame.
Answers
Answer:
a) (0.0004·[tex]\mathbf{\hat i}[/tex] - 1.55·[tex]\mathbf{\hat j}[/tex]) m
b) 0.31 km/h·[tex]\mathbf{\hat i}[/tex] + 0.00008 km/h·[tex]\mathbf{\hat j}[/tex]
Explanation:
The given parameters are;
The circular motion of the airplane = 600 km/hour
The radius of the circular path = 3 km
The time it takes the cup to reach the floor of the airplane is given as follows;
s = u·t + 1/2·g·t²
1.5 = 1/2 × 9.81 × t²
t² = 1.5/(1/2 × 9.81)
t = √(1.5/(1/2 × 9.81)) ≈ 0.553 s
The location of the plane in 0.533 s is 600 km/hour × 0.533 s ≈ 83.83 meters
The angular velocity, ω = v/r = 600 km/hour/3 km = 200°/hour
Therefore, the angle covered in 0.533 s is 0.533 s × 200°/hour ≈ 0.0296°
tan(0.0296)*3000 ≈ 1.55 m vertical
3000 - cos(0.0296)*3000 ≈ 0.0004 m horizontal
The location of the cup relative to the plane will be
0 - (-0.0004·i + 1.55·j) = 0.0004·i - 1.55·j m
b) The speed of the cup relative to the plane when it hits the floor is given by the
The speed of the plane = 600 km/hour × cos(90 - 0.0296)j + 600 km/hour × sin(90 - 0.0296)j = -0.31 km/hour·i + 599.99 km/hour·j
The speed of the cup = 600 km/hour·j
The relative speed = 600 km/hour·j - ( -0.31 km/hour·i + 599.99 km/hour·j) = 0.31 km/hour·i + 0.00008 km/hour·j
The relative speed of the cup to the plane = 0.31 km/h·i + 0.00008 km/h·j
Therefore, given that there will be no relative speed in an inertia frame, the speed of the cup relative to the plane will be higher than when dropped in an inertia frame
18. What do you call a change in state from a liquid to a gas?
Answers
Answer:
evaporation
Explanation:
EXPLANATION: Matter changes between the liquid and gas states through vaporization and condensation. Vaporization As liquid water is heated, its temperature rises. until it reaches 100°C. At this point, liquid water changes into water vapor. The change from a liquid to a gas is known as vaporization
At what point is the KINETIC ENERGY at its highest?
Answers
Answer:
An object has the MOST kinetic energy when it's movement is the GREATEST.
Explanation:
An object accelerated at a rate of 50 m/s/s. A force of
100 N was used to make this happen. What is the mass
of the object?
Answers
Answer:
2kg
Explanation:
100N= force 50m/s²=acceleration
mass=?
the equation is;
Mass(kg)= Force(N) ÷ Acelleration(m/s²)
100÷50=2
