Answer:
It is called the unit function because it is the identity element for Dirichlet convolution. It may be described as the "indicator function of 1" within the set of positive integers. It is also written as u(n) (not to be confused with μ(n), which generally denotes the Möbius function).
(2)
(Total 6 marks)
6
Karen wants to pump up her car tyre.
Her pump has a piston with an area of 7 cm^2
175 N
area = 7 cm^2
Karen pushes the handle down with a force of 175 N.
(a)
What pressure does she exert on the air in the pump?
Answer:
250000Pa
Explanation:
Given parameters:
Force applied = 175N
Area = 7cm²
Unknown:
Pressure exerted by the air in the pump = ?
Solution:
Pressure is the force per unit area acting on a body;
Pressure = \(\frac{force }{area}\)
Area = 7cm² ;
10000cm² = 1m²
7cm² is 7 x 10⁻⁴m²
Pressure = \(\frac{175}{0.0007}\) = 250000Pa
What is Concave lenses ?
Explanation:
A concave lens is also known as a diverging lens because it is shaped round inwards at the centre and bulges outwards through the edges, making the light diverge. They are used to treat myopia as they make faraway objects look smaller than they are.
Which statements describe scientific laws but not theories or hypotheses? Check all that apply.
They are likely to change as new evidence is discovered.
They do not provide explanations for why they are true.
They are considered to be proven facts.
They have not yet been tested.
They are the bases for experiments instead of the results.
Answer:
B. They do not provide explanations for why they are true.
C. They are considered to be proven facts.
Explanation:
edge 2021
The statements describe scientific laws but not theories or hypotheses are they do not provide explanations for why they are true and they are considered to be proven facts.
What are scientific laws?The law given by the experimenters or scientists after years of observations and experiments based on the scientific reasons are called scientific laws.
The laws are not the proven facts. They even don't explain why the scientific laws are true.
Thus, the correct option is B and C.
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if a car travels 200 m to the east in 8.0 s what is the cars average velocity?
Answer:
25 m/s
Explanation:
200/8 = 25
A retaining wall is 5m long (into the plane of the paper), and it is supported by an anchor rod. The soil it supports has a weight density of 1.4 metric tonnes per cubic metre and K = 0.25. what is the greatest horizontal pressure the retained soil generates on the wall
Knowing that the greatest horizontal pressure is the pressure made by the material on the wall -considering for that the total height of the wall-, then P = 4.375 t/m
---------------------
Available data:
The wall is 5m long into the plane ⇒ HThe soil density is 1.4 metric tonnes per cubic metre ⇒ γ K = 0.25 ⇒ Coefficient of earth pressure. Depends on the angle.From this information, we need to calculate the greatest horizontal pressure.
Horizontal pressure refers to the force made by the supported soil on the retaining wall that tends to deflect the wall outward.
We can calculate horizontal pressure at different heights from the top. And since we need to calculate the greatest horizontal pressure, we need to consider the total height that equals the wall height, H.
To do it, we will use the following formula, and replace the terms.
P = [ k γ H² ] / 2
P = [ 0.25 x 1.4 t/m³ x 5m² ] / 2
P = 8.75/2
P = 4.375 t/m
------------------------------------------
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Please solve this, I’ll give brainliest if it’s correct but
AI answers will be reported!
Q6. Saul (30 kg) is tobogganing down a hill on a toboggan that has a mass of 10 kg. Part way down, when he is still 20 m (measured vertically) above the bottom of the hill, he passes his sister Nadia at a velocity of 15 m/s. [9 marks]
(a) What is the total energy of Saul and the toboggan?
(b) What is the height of the hill?
(c) What will Saul’s velocity at the bottom of the hill be?
(d) What will Saul’s height be when he is moving at a velocity of 9.5 m/s?
part a.
the total energy of Saul and the toboggan is 70530 J
part b.
The height of the hill is 235.1 m.
part c.
Saul's velocity at the bottom of the hill will be 22.3 m/s.
part d.
Saul's height when he is moving at a velocity of 9.5 m/s is 10.5 m
How do we calculate?
The total energy of Saul and the toboggan is the addition all of potential energy and kinetic energy.
we know that the initial total energy = potential energy at top of hill
Therefore total energy is gien as
initia total energy = mass of Saul + mass of toboggan x gravity x height
initia total energy = (30 kg + 10 kg) x (9.81) x (20 m)
initia total energy = 5886 J
Total energy = potential energy + kinetic energy
Total energy = (30 kg + 10 kg) (9.81 ^2) x (20) + (30 kg + 10 kg) x (15)^2/2
= 70530 J
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a circuit consist of four resistor in parallel with a battery three resistors have resistance of 1 ohms ,2 ohms and 3 ohms , respectively, the total resistance the circuit is 0,5 ohms and the current through the 1 ohms resistor is 4A
what is the value of fourth resistor
The value of the fourth resistor in the parallel circuit is 6 ohms.
What is the value of the fourth resistor?
The value of the fourth resistor is calculated by applying the formula for effective resistance of a parallel circuit.
1/Re = 1/R₁ +1/ R₂ + 1/R₃ + 1/R₄
where;
R₁, R₂, R₃, R₄ are the individual resistors in parallelRe is the effective resistance1/0.5 = 1/1 + 1/2 + 1/3 + 1/R₄
2 = 1 + 0.5 + 0.333 + 1/R₄
0.167 = 1/R₄
R₄ = 1/0.167
R₄ = 6 ohms
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Which type of marco molecules help a cell break down food?
Answer: Each macromolecule is broken down by a specific enzyme. For instance, carbohydrates are broken down by amylase, sucrase, lactase, or maltase. Proteins are broken down by the enzymes pepsin and peptidase, and by hydrochloric acid. Lipids are broken down by lipases.
Explanation:
Hope this will help
What is the potential gravitational energy of a 2 kg ball thrown up in the air to a height of 7 m?
Answer:
PE = 137.2931 J
Explanation:
PE = 137.2931 J
if the momentum of an object is doubled then kinetic energy is ...?
Answer:
increased with the same rate as momentum
The chemical equation for the decomposition of potassium chlorate into potassium chloride and oxygen gas is
KCIO: |_ KCI + ___ 02
Which coefficients correctly balances the equation?
A) 4.4,3
B 3,3,2
C) 2,2,3
D
2, 1,3
E The equation is already balanced.
Answer:
Option C. 2, 2, 3
Explanation:
__KClO₃ —> __ KCl + __O₂
The above equation can be balance as illustrated below:
KClO₃ —> KCl + O₂
There are 2 atoms of O on the right side and 3 atoms on the left side. It can be balance by writing 2 before KClO₃ and 3 before O₂ as shown below:
2KClO₃ —> KCl + 3O₂
There are 2 atoms of K on the left side and 1 atom on the right side. It can be balance by writing 2 before KCl as shown below:
2KClO₃ —> 2KCl + 3O₂
Thus, the equation is balanced. The coefficients are: 2, 2, 3
The
states that price and quantity move in opposite directions.
The Law of Demand states that price and quantity move in opposite directions.
What does the law of demand mean?According to the Law of Demand, there is an indirect correlation between a good or service's price and the amount of that good or service that customers are willing and able to purchase. In other words, consumers are less able and willing to purchase an item as its price rises and vice versa.
This connection between a product's price and demand for it in terms of quantity is captured by the Law of Demand. It asserts that the price of a good and the amount desired are negatively) relate
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4. What is the instantaneous acceleration at t= 10 s?
Answer:
I am fairly certain the answer is 2m/s^2
Explanation:
Technician A says that cabin filters are accessible behind the glove compartment. Technician B says that cabin filters are accessible from under the hood. Who is correct? A. Technician B only B. Both Technicians A and B C. Technician A only D. Neither Technician A nor B
Answer:
A
but it depends on the car
Explanation:
A 0.0400 kg meter stick is placed on a thin rod at the 30.0 cm mark. What is the minimum mass required to be placed on the 0.00 cm mark on the stick to maintain equilibrium?
Answer in kg
The minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
To maintain equilibrium, the torques acting on the meter stick must balance each other. The torque is given by the formula:
τ = r * F * sin(θ)
where τ is the torque, r is the distance from the pivot point to the point where the force is applied, F is the force applied, and θ is the angle between the force vector and the lever arm.
In this case, the meter stick is in equilibrium when the torques on both sides of the pivot point cancel each other out. The torque due to the weight of the meter stick itself is acting at the center of mass of the meter stick, which is at the 50.0 cm mark.
Let's denote the mass to be placed on the 0.00 cm mark as M. The torque due to the weight of M can be calculated as:
τ_M = r_M * F_M * sin(θ)
where r_M is the distance from the pivot point to the 0.00 cm mark (which is 30.0 cm), F_M is the weight of M, and θ is the angle between the weight vector and the lever arm.
Since the system is in equilibrium, the torques on both sides of the pivot point must be equal:
τ_M = τ_stick
r_M * F_M * sin(θ) = r_stick * F_stick * sin(θ)
Substituting the given values:
30.0 cm * F_M = 20.0 cm * (0.0400 kg * 9.8 m/s^2)
Solving for F_M:
F_M = (20.0 cm / 30.0 cm) * (0.0400 kg * 9.8 m/s^2)
F_M = 0.0264 kg * 9.8 m/s^2
F_M = 0.25872 N
Finally, we can convert the force into mass using the formula:
F = m * g
0.25872 N = M * 9.8 m/s^2
M = 0.0264 kg
Therefore, the minimum mass required to be placed on the 0.00 cm mark of the meter stick to maintain equilibrium is 0.120 kg.
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What is the Momentum of a ball that has a mass of 0.5 kg and a velocity of 20 m/s?
John and Tom were given one mirror each by their teacher. Tom found his image to be erect and of the same size whereas John found her image erect and smaller in size. This means that the mirrors of John and tom are, respectively
(a) plane mirror and concave mirror.
(b) concave mirror and convex mirror.
(c) plane mirror and convex mirror.
(d) convex mirror and plane mirror
Answer:
(d)
Explanation:
John- convex mirror
Tom - plane mirror
Answer:
(d) convex mirror and plane mirror
Explanation:
A plane mirror forms an image that is : virtual { behind the mirror } , image and object are at the same distance from the flat mirror, image is upright and image size is the same as object size. Tom's image.
A concave mirror form both real and virtual images. When a concave mirror is very near to an object , the image is virtual and magnified. When the distance between object and mirror is increased, a real image is formed and the size is reduced.
In a convex mirror, the image formed is smaller than the object, it is upright and is located behind the mirror. The image is virtual. John's image.
who was the first person to describe the earth as a magnet
Answer:
William Gilbert
Explanation:
first described the Earth as a giant dipole magnet 400 years ago. But, as Rod Wilson recounts, he did far more than this.
Answer:
william gilbert
Explanation:
first described the Earth as a giant dipole magnet 400 years ago. But, as Rod Wilson recounts, he did far more than this.
Where are metals generally found on the periodic table ?
Answer:
on the left of the periodic table
Answer:
in the middle towards the left
Explanation:
just finished the quiz
basics of gravitation:
Planet a exerts a force on planet b. What can be said about the magnitude and direction of the gravitational force planet b exerts on planet a?
Answer:
Explanation:
According to Newton's Law of Gravitation, the gravitational force between two objects is always mutual, meaning that the force that one object exerts on the other is equal in magnitude but opposite in direction.
This means that if planet A exerts a gravitational force on planet B, then planet B will also exert a gravitational force on planet A. The magnitude of this force will be equal to the magnitude of the force that planet A exerts on planet B, but the direction will be opposite.
For example, if planet A exerts a gravitational force on planet B that is pulling planet B towards planet A, then planet B will also exert a gravitational force on planet A that is pulling planet A towards planet B. The magnitude of these two forces will be equal, but the directions will be opposite.
hat he sais
Answer:w
Explanation:
Problem
THE FLIGHT OF A BALL A ball is launched at 5.5 m/s at 76° above
the horizontal. It starts and lands at the same distance from the
ground. What are the maximum height above its launch level and the
flight time of the ball?
1. The maximum height above its launch level is 1.45 m
2. The time of flight of the ball is 1.1 s
1. How do I determine the maximum height?
From the question given above, the following data were obtained:
Initial velocity (u) = 5.5 m/sAngle of projection (θ) = 76 °Acceleration due to gravity (g) = 9.8 m/s²Maximum height (H) =?The maximum height can be obatianed as follow:
H = u²Sine²θ / 2g
H = [5.5² × (Sine 76)²] / (2 × 9.8)
Maximum height = 1.45 m
How do I determine the time of flight?
The time of flight of the ball can be obtained as follow:
Initial velocity (u) = 5.5 m/sAngle of projection (θ) = 76 °Acceleration due to gravity (g) = 9.8 m/s²Time of flight (T) = ?T = 2uSineθ / g
T = [2 × 5.5 × Sine 76] / 9.8
Time of flight = 1.1 s
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Suppose a woman wearing high-heeled shoes has a mass of 20 kg the area of each shoe is 10 cm2. How much pressure does she exert on the ground with both feet or with one foot? Explain your reasoning
She will exert a pressure of 20N/m² for one foot. For both feet 40N/m². The reason is that pressure increases with an increase in force. pressure and decreases within the area.
What is Pressure?
This is the force acting per unit area. It can be calculated using the formula
P=F/A or P= mg/A
Where m = mass of the object
g = acceleration due to gravity
A = area.
From the question given:
m =20kg
A =10cm²
Applying the above formula,
P= (20*10)/10
P=20N/m²
Hence, the pressure exerted by the two feet will be 20+20= 40N/m²
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if a car travels 125 miles in 2.5 hours, what was the cars average speed over the 2.5 hours?
Answer:
50 miles per hour
Explanation:
125/2.5 which equals to 50
Answer:
50 miles per hour
Explanation:
125 divided by 2.5 = 50
A missile is launched vertically from a missile silo, it will explode after 32 s. It's launch speed was 145 m/s, and it doesn't accelerate after launch. Will the missile have hit its highest point before it explodes? Will it have landed before it explodes?
Answer:
Landed before it explodes
Explanation:
vf = vi + at,
0 = 145 - (9.8)t,
t = 14.79 s (Time to reach highest point)
14.79 x 2 = 29.59 s (Time to land on the ground)
It will have landed before it explodes because both the time to reach the highest point and the time to land on the ground are less than 32 seconds.
McKenna is performing an experiment. She is testing the relationship between the temperature of water, and how long it takes for rust to form on iron plates. If she finds that higher temperatures lead to lower times for rusting, what is the qualitative relationship?positive correlationno correlationnegative correlationinverse square correlation
As with the increase in the temperature, the time taken to form the rust on the iron plate decreases.
This correlation is known as a negative correlation.
Thus, the relationship between the temperature of the water and the time taken to form rust on the iron plate is a negative correlation.
Hence, the third option is the correct answer.
Name:.
Date:
Homework: Writing an Argument About
Australia's Skin Cancer Rate
G
4
You now have enough evidence to explain why Australia's skin cancer rate is so high. Review your
argument from Chapter 2 and think about how you will convince the AHA that both Claim 2 and
Claim 3 are accurate. You will use your completed Reasoning Tool from Activity 3 to revise and add to
your argument.
Question: Why is the skin cancer rate in Australia so high?
A robot used in a pharmacy picks up a medicine bottle at t=0. It accelerates at 0.15 m/s2 for 7.0 s , then travels without acceleration for 64 s and finally decelerates at -0.50 m/s2 for 2.1 s to reach the counter where the pharmacist will take the medicine from the robot. From how far away did the robot fetch the medicine?
Answer:
Explanation:
distance while accelerating
d = ½at² = ½(0.15)7.0² = 3.675 m
velocity at the end of 7 s
v = at = 0.15(7.0) = 1.05 m/s
distance at constant velocity
d = vt = 1.05(64) = 67.2 m
distance while decelerating
d = ut + ½at² = 1.05(2.1) + ½(-0.50)2.1² = 1.1025 m
velocity at the end of deceleration
v = u + at = 1.05 + (-0.5)2.1 = 0 m/s
total distance traveled
d = 3.675 + 67.2 + 1.1025 = 71.9775 m
rounding to the two significant figures of the question numerals
d = 72 m
that's a HUGE pharmacy.
Group B[1] 12 State Huygens's Principle [2] b) In a Young's double slit experiment, the fringe width obtained is 0.6 cm. When light of wave length 4500 Aº is used if the distance between the screen and the slit is reduced in half, what should be the wavelength of light used to obtain fingers 0.0045 m wide? [3]
The wavelength of light that should be used to obtain fringes that are 0.0045 m wide after reducing the distance between the screen and the slit by half is 2.25 * 10^7 Å.
Huygens's Principle states that every point on a wavefront can be considered as a source of secondary spherical wavelets that spread out in all directions with the same speed as the original wave. The new wavefront is formed by the envelope of these secondary wavelets at a later time.
Now, let's consider a Young's double-slit experiment. In this experiment, when light passes through two narrow slits, it creates an interference pattern on a screen behind the slits. The fringe width is the distance between two consecutive bright or dark fringes in the pattern.
Given that the fringe width obtained is 0.6 cm and the wavelength of light used is 4500 Å (Angstroms), we can calculate the wavelength of light required to obtain fringes that are 0.0045 m wide.
We can use the formula for fringe width in Young's double-slit experiment:
w = (λ * D) / d
Where:
w is the fringe width,
λ is the wavelength of light,
D is the distance between the screen and the double slits, and
d is the distance between the two slits.
Let's calculate the value of D/d using the given information:
D/d = w / λ
= 0.006 m / 4500 Å (1 m = 10^10 Å)
= 0.006 * 10^10 / 4500 m^-1
Now, if the distance between the screen and the slit is reduced by half, the new value of D/d would be:
(D'/d) = (0.006/2) * 10^10 / 4500 m^-1
Now, we can rearrange the equation to solve for the new wavelength (λ'):
(λ' * D') / d = (D/d)
λ' = (D/d) * d / D
= [(0.006/2) * 10^10 / 4500] * (4500 / 0.006) Å
= 0.0045 m * 10^10 / 2 Å
= \(0.00225 * 10^{10\) Å
=\(2.25 * 10^7\)Å
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During the experiment, the angular velocity will be allowed to vary. If the mass of the rotating object is 5 kg and the radius of rotation is 0.2 m, what will be the angular velocity, ω, when the force sensor reads 3.4 N?
Answer: w=1.84 rad/s
Explanation:
During the experiment, the angular velocity will be allowed to vary. If the mass of the rotating object is 5 kg and the radius of rotation is 0.2 m, what will be the angular velocity, ω, when the force sensor reads 3.4 N?
first we set 3.4N = to the equation \(5kg(w)^{2}* .20\)
solving for w \(w^2=17/5\)
\(w=(\sqrt{85})/5 \\\)
\(w=1.84391\)
w=1.84 rad/s
Evaluate (2-3)^(4) - 9 - 3.
-7
VX
-2.
1
2
Answer:
−10.1−3.−7VX,2
Explanation:
Answer:
Evaluate (2 - 3)4(4) - 9 ÷ 3.
-7
-2
1
2
Explanation:
answer is 1