The distance between the two balls at the given force is 0.7 m.
The given parameters;
mass of each ball, m = 0.8 kggravitational force between the balls from sample problem C, F = 8.92 x 10⁻¹¹ NThe distance between the balls is calculated by applying Coulomb's law as shown below;
\(F = \frac{Gm^2}{r^2} \\\\r^2 = \frac{Gm^2}{F} \\\\r = \sqrt{\frac{Gm^2}{F} } \\\\r = \sqrt{\frac{(6.67\times 10^{-11}) \times (0.8)^2}{8.92 \times 10^{-11}} } \\\\r = 0.7 \ m\)
Thus, the distance between the two balls is 0.7 m.
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what is the weight of a 3.67kg ball?
Answer:
mass 3.67 kg, density 600 kg/m3) is fitted
with lead (density 1.14 * 10^4 kg/m3) so that it floats in water with
0.900 of its volume submerged. Find the lead mass if the lead is fitted
to the block’s (a) top and (b) bottom.
an antenna with a pattern solid angle of 1.5 (sr) radiates 60 w of power. at a range of 1 km, what is the maximum power density radiated by the antenna?
The formula: may be used to determine the power density (S) emitted by the antenna at a distance of 1 kilometre.\(S = P / (4πr^2)\) where r is the distance from the antenna . .
P is the power emitted by the antenna. P is equal to 60 W in this instance, and 1 km equals 1000 m. Furthermore, = 1.5 sr is specified as the pattern solid angle. When the radiated power is focused in a narrow beam in a certain direction, the greatest power density occurs. The power density in this direction may be higher than the mean power density in all directions. M The average power density over all directions for a point source radiating evenly is given by:\(P / (4 r 2) = S\) avg But in this instance, the antenna has a non-uniform radiation pattern and the power is concentrated in a particular direction.
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a 6,300-kg truck runs into the rear of a 1,000-kg car that was stationary. the truck and car are locked together after the collision and move with speed 2 m/s. what was the speed of the truck before the collision?
The speed of the truck before the collision was 3.2 m/s.
The speed of the truck before the collision can be determined using the principle of conservation of momentum. Momentum is the product of mass and velocity. Therefore, the momentum of the truck-car system before the collision is equal to the momentum of the truck-car system after the collision.
Let us assume the speed of the car before the collision is zero. Then the momentum of the truck-car system before the collision is equal to the momentum of the truck alone. This can be expressed mathematically as:
Mbefore = MtruckVtruck = (6,300kg)(Vtruck)
Mafter = (6,300kg + 1,000kg)(2 m/s)
By equating the two equations, we can solve for V, which gives us a value of 3.2 m/s.
Therefore, the speed of the truck before the collision was 3.2 m/s.
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A car is traveling with a velocity of 40. 0 m/s and has a mass of 1120 kg. How much kinetic energy does the car have?
Answer:
896 kj
Explanation:
KE= 1/2 mv^2 = 1/2 1120 40^2 =
how does the phase line indicate that any solution to the logistic model approaches the equilibrium solution p(t) ≡ a b as t approaches [infinity]?
The phase line of the logistic model indicates that any solution approaches the equilibrium solution p(t) ≡ a b as t approaches infinity. This is demonstrated by the behavior of the arrows on the phase line, which point towards the equilibrium point as time progresses.
The logistic model is a differential equation that describes population growth with a carrying capacity. It is represented by the equation \(\frac{d}{dt} p\) = k × p × (1 - \(\frac{p}{a}\)), where p represents the population size, t is time, k is a growth rate constant, and a is the carrying capacity.
The phase line is a visual representation of the solutions to this equation. It consists of a horizontal line representing the population equilibrium solution p(t) ≡ a, and arrows indicating the direction of change for different initial population values.
As time approaches infinity, the arrows on the phase line point towards the equilibrium solution p(t) ≡ a. This indicates that any solution to the logistic model, regardless of its initial population value, will eventually approach the equilibrium population size.
The population growth will slow down and stabilize around the carrying capacity a. This behavior is a result of the logistic growth pattern, where population growth rate decreases as it approaches the carrying capacity.
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The voltage across two points in an electric circuit is
876 mV. A power source does 1 901 kJ of work
when moving a certain amount of charge between
these two points.
Determine the amount of charge that moved between
between the two points.
Answer:
V=w/q V= 1.2/0.4* 10 ^-3 V = 3 * 10 ^ 3 V = 3000 v
if its not correct let me know so I can figure it out
a spherical, concave shaving mirror has a radius of curvature of 0.718 m. what is the magnification of a person's face when it is 0.155 m from the vertex of the mirror (answer sign and magnitude)?
The magnification of a person's face when it is 0.155 m from the vertex of the mirror is +1.76.
To find the magnification of the person's face when it is 0.155 m from the vertex of the mirror, we can use the mirror equation and magnification equation.
1. First, let's define the variables:
f = focal length of the mirror
R = radius of curvature of the mirror
u = object distance (distance of the face from the mirror's vertex)
v = image distance (distance of the image from the mirror's vertex)
M = magnification
2. Calculate the focal length (f) using the radius of curvature (R):
f = R / 2
f = 0.718 m / 2
f ≈ 0.359 m
3. Use the mirror equation to find the image distance (v):
1/f = 1/u + 1/v
4. Rearrange the equation to solve for v and substitute the values of f and u:
1/v = 1/f - 1/u
1/v = 1/0.359 m - 1/0.155 m
1/v ≈ 2.785 - 6.452
1/v ≈ -3.667
Now, we can find the value of v:
v ≈ -0.273 m (the negative sign indicates that the image is virtual)
5. Calculate the magnification (M) using the magnification equation:
M = -v / u
M = -(-0.273 m) / 0.155 m
M ≈ 1.76
The magnification of the person's face when it is 0.155 m from the vertex of the mirror is approximately 1.76, which means the face appears 1.76 times larger than its actual size. The positive value of magnification indicates that the image is upright.
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If the net force on an object is zero, the object could (a) be at rest, (b) be in motion at a constant velocity, (c) have zero acceleration , (d) all of the preceding.
Answer:
BLACKPINK IN YOUR AREA MATH IS SO MUCH FUN
Explanation:
PERIOD AHH
Plants make food through photosynthesis, and photosynthesis takes place mostly in plant leaves, but when plants lose their leaves in the winter, they do not die. This is evidence that A. someone gives the plants food every day. B. plants can use heat in the ground to make food. C. plants store food for later use. D. photosynthesis also takes place in plant roots.
Answer:
The answer is not B or D because they need light co2 and water to make their food so B and D are out. and unless someone is walking during winter to feed it. It will not be A so the answer is C.
Explanation:
Plants can use heat in the ground to make food in winters. Plants make food through photosynthesis, and photosynthesis takes place mostly in plant leaves, but when plants lose their leaves in the winter, they do not die. Thus, the correct option is B.
What is Photosynthesis?Photosynthesis is the process through which plants use the sunlight, which is trapped in the chlorophyll pigment present in the chloroplast of cells to convert water, and carbon dioxide to produce oxygen gas and energy in the form of sugar (carbohydrate).
Photosynthesis is the process in which energy transformation takes place. In this process, light energy from the sun is converted into chemical energy that is in the form of carbohydrate in the leaves of the plant.
Therefore, the correct option is B.
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A 45.2 kg softball player slides across dirt with Uk=0.340. What is her acceleration?
Answer:
The answer is -3.34 m/s^2.
Explanation:
I used another brainly question to help me find the answer. It was pretty similar to this one so yeah. Good luck to you nonetheless.
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The light beam shown in the figure below makes an angle of? = 15.5° with the normal line NN' in the linseedoil. Determine the angles θ and θ'.(The refractive index for linseed oil is 1.48.)
θ = 1
°
θ' = 2
°
The angle θ is approximately 0.688°, and the angle θ' is approximately 1.988°.
To determine the angles θ and θ' in the given scenario, we can use Snell's Law, which relates the angles of incidence and refraction to the refractive indices of the media involved. Snell's Law can be stated as follows:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Where:
n₁ is the refractive index of the medium of incidence (in this case, air with a refractive index close to 1),
θ₁ is the angle of incidence,
n₂ is the refractive index of the medium of refraction (in this case, linseed oil with a refractive index of 1.48), and
θ₂ is the angle of refraction.
Let's solve for the unknown angles θ and θ' using the given information.
Given:
Angle of incidence θ = 1°
Refractive index of linseed oil n₂ = 1.48
We need to find the angle of refraction θ₂.
Using Snell's Law, we have:
n₁ * sin(θ₁) = n₂ * sin(θ₂)
Since the refractive index of air (n₁) is approximately 1, we can simplify the equation to:
sin(θ₁) = n₂ * sin(θ₂)
Plugging in the values:
sin(1°) = 1.48 * sin(θ₂)
We can now solve for θ₂:
θ₂ = arcsin(sin(1°) / 1.48)
Calculating this value, we find:
θ₂ ≈ 0.688°
Now, let's determine the angle θ'.
Given:
Angle of refraction θ₂ = 0.688°
Refractive index of linseed oil n₂ = 1.48
We need to find the angle of incidence θ'.
Using Snell's Law, we have:
n₂ * sin(θ₂) = n₁ * sin(θ')
Since the refractive index of air (n₁) is approximately 1, we can simplify the equation to:
n₂ * sin(θ₂) = sin(θ')
Plugging in the values:
1.48 * sin(0.688°) = sin(θ')
Solving for θ', we find:
θ' = arcsin(1.48 * sin(0.688°))
Calculating this value, we get:
θ' ≈ 1.988°
Therefore, the angle θ is approximately 0.688°, and the angle θ' is approximately 1.988°.
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Thirteen resistors are connected across points A and B as shown in the figure. If all the resistors are
accurate to 2 significant figures, what is the equivalent resistance between points A and B?
The equivalent resistance between points A and B in the diagram is 22 Ω
How do I determine the equivalent resistance?We shall begin by obtaining the equivalent resistance in parallel (i,e the three 6 Ω resistor). Details below:
Resistor 1 (R₁) = 6 ΩResistor 2 (R₂) = 6 ΩResistor 3 (R₃) = 6 ΩEquivalent resistance (Rₜ) = ?1/Rₜ = 1/R₁ + 1/R₂ + 1/R₃
1/Rₜ = 1/6 + 1/6 + 1/6
1/Rₜ = 3/6
1/Rₜ = 1/2
Rₜ = 2 Ω
Finally, we shall determine the equivalent resistance between A and B (i.e series arrangement). Details below:
Resistor 1 (R₁) = Resistor 2 (R₂) = ... = Resistor (R₁₁) = 2 ΩEquivalent resistance (R) =?R = R₁ + R₂ + R₃ + R₄ + R₅ + R₆ + R₇ + R₈ + R₉ + R₁₀ + R₁₁
R = 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2
R = 22Ω
Thus, we can conclude that the equivalent resistance is 22 Ω
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Select all of the following that are ways to prevent cavities and gum disease.
flossing your teeth
brushing your teeth
eating foods that are high in sugar
drinking soda
Answer:flossing and brushing your teeth
Explanation:
because eating bad food could give you more cavities
does anyone know how to do this? the scenario is ""dominique reads that race cars have wide tires because the increased area of contact between the tire and the road results in a stronger force of friction. she hypothesizes that the force of kinetic friction on an object is directly proportional to the area of the object in contact with the surface and wants to test this hypothesis. Dominique and Blake take a long wooden plank and cut the plank into pieces that have different lengths but the same width and height. The students also have access to other equipment commonly available in a school physics lab.
Answer:
Stupid
Explanation:
Because there is never a answer when we are trying to find one
Question 4 of 10
If infrared waves can move information through air, what is the advantage of
sending their signals through networks of cables?
A. Cables are easy to maintain.
B. These waves need to travel only short distances.
C. Cables transmit infrared waves over longer distances.
O D. The denser the medium, the faster the wave.
Answer:
C. Cables transmit infrared waves over longer distances.
Explanation:
A.pex
Answer:
The answer is C.Cables transmit infrared waves over longer distances.
Explanation:
I took AP EX quiz.
Which element is represented by Bohr model
Answer:
The Bohr atom The Rutherford–Bohr model of the hydrogen atom. In this view, electron orbits around the nucleus resemble that of planets around the sun in the solar system.
Hope it will help you !A)What is the mass, in grams, of 28.76 mL of acetone?
B)What is the volume, in milliliters, of 6.40 g of acetone?
both in significant figures
A) The mass of 28.76 mL of acetone is approximately 22.7 g.
B) The volume of 6.40 g of acetone is approximately 8.12 mL.
A) To determine the mass of 28.76 mL of acetone, we need to know the density of acetone. The density of acetone is approximately 0.789 g/mL. Therefore, we can calculate the mass as follows:
Mass = Volume * Density
Mass = 28.76 mL * 0.789 g/mL
Performing the calculation:
Mass ≈ 22.67564 g
Rounding the result to the correct number of significant figures, the mass of 28.76 mL of acetone is approximately 22.7 g.
B) To determine the volume of 6.40 g of acetone, we can rearrange the formula:
Volume = Mass / Density
Volume = 6.40 g / 0.789 g/mL
Performing the calculation:
Volume ≈ 8.116 g/mL
Rounding the result to the correct number of significant figures, the volume of 6.40 g of acetone is approximately 8.12 mL.
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Based on Nia's notes, what would be the BEST way to investigate the heat transfer based on the movement of the molecules?
Answer: Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.
Explanation:
Answer:
Nia could measure the temperature of the bottom floor of a house to see if the heat had risen in the house due to convection.
Explanation:
Because energy transferred by the mass motion of molecules.
help! im timed. A ball is thrown downward with an initial velocity of 12.1 m/s. How long will it take to reach a velocity of -24.5 m/s?
Answer:
\(1.27\:\text{s}\)
Explanation:
We can use the following kinematics equation to solve this problem:
\(v_f=v_i+at\)
Solving for \(t\):
\(-24.5=-12.1+-9.8t,\\-12.4=-9.8t,\\t=\frac{-12.4}{-9.8}\approx \boxed{1.27\:\mathrm{s}}\)
A tank initially contains 25 kg of salt dissolved in 6000 L of water. Brine that contains 0.02 kg of salt per liter of water enters the tank at a rate of 30 L/min
. The solution is kept thoroughly mixed and drains at the same rate. Find the amount of salt in the tank after t minutes.
The amount of salt in the tank after t minutes is 25 + 0.475 t, in kg.
We can solve this problem using the concept of mass balance. The rate of change of the amount of salt in the tank is equal to the difference between the rate of salt entering the tank and the rate of salt leaving the tank.
Let S be the amount of salt in the tank at time t, in kg. Then the rate of salt entering the tank is:
30 L/min × 0.02 kg/L = 0.6 kg/min
The rate of salt leaving the tank is:
\(\frac{25\ kg}{6000\ L}\) × 30 L/min = 0.125 kg/min
Therefore, the rate of change of S is:
\(\frac{dS}{dt}\) = 0.6 - 0.125 = 0.475 kg/min
We can solve this differential equation to find the amount of salt in the tank as a function of time. The general solution is:
S(t) = \(S_{0}\) + 0.475 t
where \(S_{0}\) is the initial amount of salt in the tank. We can find \(S_{0}\) by using the initial conditions:
S(0) = 25 kg
Therefore, \(S_{0}\) = 25 kg.
So the amount of salt in the tank after t minutes is:
S(t) = 25 + 0.475 t, in kg.
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A body of mass 5kg initially at rest is acted upon by two mutually perpendicular forces 12n and 5n. If the particle moves in direction of QA,calculate the magnitude of the acceleration
The acceleration is in the same direction and has a magnitude of 3.4 m/s2.
What is acceleration?Acceleration is the rate of change of an object's velocity over time. It is a vector quantity, measured in meters per second squared (m/s2), and is denoted by the symbol a.
The acceleration of the body can be calculated using the equation of motion,
F = ma
where F is the net force and m is the mass of the body.
In this case, the net force is the vector sum of the two forces, Fnet = F1 + F2 = 12N + 5N = 17N.
Therefore, the acceleration of the body is given by a = Fnet/m = 17N/5kg = 3.4m/s2.
Since the body moves in the direction QA, the acceleration is in the same direction and has a magnitude of 3.4 m/s2.
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If 5800 J of work is done when a person pushes a refrigerator weighing 720 N across a floor where the force of friction between the refrigerator and the floor is 480 N, how far is the refrigerator going to move? (Make sure to put the correct unit on your answer. )
If 5800 J of work is done when a person pushes a refrigerator weighing 720 N across a floor where the force of friction between the refrigerator and the floor is 480 N, the refrigerator is going to move approximately 24.17 meters across the floor.
To determine the distance the refrigerator will move, we can use the work-energy principle. According to this principle, the work done on an object is equal to the change in its kinetic energy.
The work done on the refrigerator is given as 5800 J, and we know that work done is equal to the force applied multiplied by the distance moved in the direction of the force:
Work = Force × Distance
In this case, the force applied is the net force acting on the refrigerator, which is the difference between the force of pushing and the force of friction:
Net Force = Force of pushing – Force of friction
Substituting the given values, we have:
Net Force = 720 N – 480 N
Net Force = 240
Now, we can rearrange the work equation to solve for the distance:
Distance = Work / Net Force
Distance = 5800 J / 240 N
Distance ≈ 24.17 meters
Therefore, the refrigerator is going to move approximately 24.17 meters across the floor. The unit for distance is meters, which matches the SI unit for measuring length.
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Jason recently got his license to practice as a private investigator. For his first assignment, he was required to identify a serial killer. Within three days of receiving the case, Jason was able to identify the killer by finding patterns in the available evidence and using these patterns to reason and deduce the killer's peculiar behavior and methods. In the context of the theories of intelligence, which of the following statements is most likely true of Jason?
Select one:
A. He has high emotional intelligence.
B. He has high fluid intelligence.
C. He has high crystallized intelligence.
D. He has high interpersonal intelligence.
In the context of the theories of intelligence, the statement that is most likely true of Jason, who recently got his license to practice as a private investigator and was able to identify a serial killer by finding patterns, is that he has high crystallized intelligence.
What is crystallized intelligence?
Crystallized intelligence refers to the accumulation of knowledge, facts, and skills that a person has acquired through education and life experiences. It is the ability to apply previously acquired knowledge to current problems or situations.
Crystallized intelligence is also referred to as stored knowledge, and it is measured through tests of vocabulary, general knowledge, and verbal comprehension.
Why is it most likely that Jason has high crystallized intelligence?In the question, it is stated that Jason was able to identify the serial killer by finding patterns in the available evidence and using these patterns to reason and deduce the killer's peculiar behavior and methods. This suggests that Jason has a lot of accumulated knowledge, skills, and experience that he was able to apply to the case at hand.
He also demonstrated a high level of reasoning and deductive skills, which are key components of crystallized intelligence. Therefore, it is most likely that Jason has high crystallized intelligence.
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a body is in mechanical equilibrium when the sum of the external forces and the sum of the external torques acting on it is zero it is being moved by a constant force the sum of the external forces acting on it is zero
Mechanical equilibrium refers to a state in which a body is not experiencing any acceleration, meaning it is either at rest or moving at a constant velocity.
In order to achieve this state, the sum of the external forces acting on the body must be equal to zero. This means that all the forces acting on the body must be balanced and cancel each other out, resulting in no net force.
Additionally, the sum of the external torques acting on the body must also be equal to zero. Torque is a measure of rotational force and determines how much an object will rotate when subjected to a force.
Therefore, for a body to be in mechanical equilibrium, the forces acting on it must not only balance out, but the torques acting on it must also be balanced.
It's important to note that even if a body is being moved by a constant force, it can still be in mechanical equilibrium if the sum of the external forces acting on it is zero. This is because the constant force is countered by an equal and opposite force, resulting in a net force of zero.
Overall, mechanical equilibrium is a crucial concept in physics that helps us understand how objects behave when subjected to external forces.
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Sergio is performing 30 joules of work by pushing an object 25 meters. How much force did he put on the object?
Sergio put a force of 1.2 newtons on the object to perform 30 joules of work by pushing it 25
What is force?
Force is a physical quantity that describes the interaction between two objects, causing a change in their motion. It is measured in units of newtons (N) and is defined as the product of an object's mass and acceleration, as described by Newton's second law of motion.
The force exerted by Sergio on the object can be calculated using the formula:
Work = Force × Distance × cos(theta)
where Work is the work done (in joules), Force is the force applied (in newtons), Distance is the distance moved (in meters), and cos(theta) is the cosine of the angle between the force and the direction of motion (assuming the force is applied parallel to the direction of motion, cos(theta) = 1).
Rearranging the formula, we get:
Force = Work / (Distance × cos(theta))
Substituting the given values, we get:
Force = 30 J / (25 m × cos(0°))
Since cos(0°) = 1, we can simplify the expression to:
Force = 30 J / 25 m
Force = 1.2 N
Therefore, Sergio put a force of 1.2 newtons on the object to perform 30 joules of work by pushing it 25
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What type of electromagnetic wave has a frequency of around 1012 Hz?
memory connections link each bit of knowledge in memory (e.g., ideas) to other bits of knowledge and other memories. options: true false
The statement "Memory connections link each bit of knowledge in memory (e.g., ideas) to other bits of knowledge and other memories" is true as Memory connections also known as associations, are vital for linking and organizing information within our memory system.
These connections facilitate the retrieval of information and help us make sense of new experiences by relating them to previously stored knowledge.
Associative memory is based on the idea that bits of knowledge are interconnected in a network, and these connections are strengthened or weakened depending on how often they are used. This organization enables us to efficiently retrieve information when needed, as well as adapt and learn from new experiences.
To create memory connections, our brains use processes such as chunking, which groups related pieces of information together, and elaboration, which involves adding meaningful context to information. Both processes help make information more memorable and easily retrievable.
In summary, memory connections are essential for linking bits of knowledge and other memories, allowing us to make sense of our experiences and efficiently access information when needed. These connections are formed through processes like chunking and elaboration, which help organize and strengthen associations in our memory system.
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1. What is the net force acting on an object, if both are pushing it in the
same direction and each is exerting 25 N of force?
2. What is the net force acting on an object, if one is pushing it to the right with 20 N of force and the other is pushing with 20 N of force to the left?
3. What is the net force acting on an object, if one is pushing it to the right with 20 N of force and the other is pushing with 30 N if force to the left?
Hi there!
1. Both forces are in the SAME direction, so:
25 N + 25 N = 50 N
2. The forces are in opposite directions, so:
20 N to the right (+) and 20 N to the left (-)
20 N - 20 N = 0 N
3. The forces are in opposite directions, so:
20N to the right (+) and 30 N to the left (-)
20 N - 30 N = -10 N
81.3% completeQuestionYou supervise a team of seven workers. You record the number of team members who reach their production goal each day. For the past week, you record the following data: Monday 5 team members reached their goal; Tuesday 4 team members reached their goal; Wednesday 2 team members reached their goal; Thursday 7 team members reach their goal; Friday 3 team members reached their goal. What was the average number of team members who reached their goal per day?A.4.2B.5.0C.6.6D.14.7E.21.0
Average number of team members who reached their goal per day = 4.2
Explanation:Number of team members that reached their goals on Monday = 5
Number of team members that reached their goals on Tuesday = 4
Number of team members that reached their goals on Wednesday = 2
Number of team members that reached their goals on Thursday = 7
Number of team members that reached their goals on Friday = 3
Total number of team members that reached their goals = 5 + 4 + 2 + 7 + 3
Total number of team members that reached their goals = 21
Average number of team members who reached their goal per day = 21/5
Average number of team members who reached their goal per day = 4.2
Which statement about velocity is true?
Answer: velocity is the study of how fast an object changes its place, or is displaced.
Explanation: An example would be how fast a basketball reaches the other side of a gym, the acceleration and speed are measured and calculated to find velocity