Explanation:
Finding the (maximum) respective prime powers would yield the answer. Also we need not ... Is perfectly divisible by 720^n? ... So we can say that for any positive value of n it not
divisible.
marissas car accelerates uniformly at a rate of -2.60m/s^2. how long does it take for marissas car to accelerate from a velocity of -28.2m/s to -42.3m/s?
Answer:
1.02s
Explanation:
In this situation the following equation will be useful:

Where:
 is Marissa's car final velocity
 is Marissa's car initial velocity
 is Marissa's car constant acceleration (assuming this is the acceleration, since 1269 m/s^{2} does not make sense)
 is the time it takes to accelerato from  to 
I just need to make sure about 7, 8, 9 if it is right
7)
The internal angles of a triangle must add up to 180.
The given answer is 64º and we can verify that:
\(64+26+90=180\)Then, the answer is correct.
Notice that the measurement of 26.0º has three significant figures while the 90º angle is an exact value. Then, the answer must have 3 significant figures too: 64.0º.
8)
The tangent of an angle in a right triangle is the quotient between the side opposite to it and the side adjacent to it.
The tangent of 26º is 0.4877, and the quotient of the lengths of the sides according to the answer, is:
\(\frac{8.00\operatorname{cm}}{16.4\operatorname{cm}}=0.488\ldots\)The length of 16.4cm has the correct number of significant figures and matches the value of the tangent. Then, the answer is correct.
9)
Using the Pythagorean Theorem, we should verify that:
\(\begin{gathered} (18.3\operatorname{cm})^2=(8.00\operatorname{cm})^2+(16.4\operatorname{cm})^2 \\ \Rightarrow335cm^2=64.0\operatorname{cm}+269\operatorname{cm} \\ \Rightarrow335\operatorname{cm}^2=333\operatorname{cm} \end{gathered}\)To be precise, if the length of the hypotenuse is calculated, the result is 18.249...cm, so it should be rounded down to 18.2cm.
Derive the formula to the equivalent hydraulic diameter for the channels with the cross-section: a) circular, b) square, c) rectangular, d) annular, and additionally for the so-called shell-and-tube system (i.e. for the cross section formed by a pipe (jacket) with an inner diameter of (D) and longitudinally placed inside it a bunch of (n) tubes with an external diameter of (d).
a) Equivalent hydraulic diameter for a circular cross-section:
Deq = 4 * Ac / P
(b) Equivalent hydraulic diameter for a square cross-section: Deq = a
(c) Equivalent hydraulic diameter for a rectangular cross-section:
Deq = 2 * (a * b) / (a + b)
d) Equivalent hydraulic diameter for an annular cross-section: Deq = D - d
a) In a circular cross-section, the equivalent hydraulic diameter (Deq) is defined as four times the cross-sectional area (Ac) divided by the perimeter (P). It represents a hypothetical diameter of a circular pipe that would have the same flow characteristics as the given non-circular cross-section.
b) In a square cross-section, the equivalent hydraulic diameter (Deq) is equal to the side length of the square. This simplification is possible because the flow characteristics in a square channel are similar in all directions.
c) In a rectangular cross-section, the equivalent hydraulic diameter (Deq) is given by two times the product of the width (a) and height (b) divided by their sum (a + b). This formula takes into account the dimensions of the rectangular channel to determine the equivalent diameter.
d) In an annular cross-section, the equivalent hydraulic diameter (Deq) is equal to the difference between the outer diameter (D) and the inner diameter (d) of the annulus. This simplification assumes that the flow occurs only through the annular region.
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the main problem with early attempts to listen for radio signals from space was
The main problem with early attempts to listen for radio signals from space was the interference from terrestrial radio signals and insufficient technology to filter out the background noise. This made it difficult to distinguish potential signals from space and accurately identify any extraterrestrial sources.
The main problem with early attempts to listen for radio signals from space was that they were limited by the technology available at the time. The equipment used was not sensitive enough to detect faint signals from faraway sources, and there was a lot of interference from sources on Earth. Additionally, there was limited knowledge about the types of signals that might be emitted from space, which made it difficult to know where and how to search for them. Despite these challenges, scientists continued to develop new technologies and techniques, eventually leading to the discovery of many new and exciting sources of radio signals from space.
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how do modern scientists measure and calculate the speed at which the continents are moving
In todays modern word modern scientists measure and calculate the speed at which the continents are moving using the Global Positioning System (GPS).
What do you mean by the term Global Positioning System (GPS)?A satellite-based radio navigation system which is owned by the US government and run by the US Space Force is termed as the Global Positioning System, or Navstar GPS.It Has the following specifications:Satellites in orbit: 32 (31 operational)Coverage: GlobalCost: $12 billion; (initial constellation); $750 million per year; (operating cost)Total satellites: 24First launch: February 22, 1978; 44 years agoOperator(s): US Space ForceOrbital height: 20,180 km (12,540 mi)To know more about Global Positioning System visit
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1. Black Panther ran 567.6 km to the east in 23 hours then turned around and ran 221.8 km to the west in 1.2 hours. What was his average velocity during the trip in km h?p
Answer:
80.08 km/h
Explanation:
Given that Black Panther ran 567.6 km to the east in 23 hours
Velocity = distance covered/time
Substitute the distance covered and time into the formula
Velocity = 567.6/23
Velocity = 24.68 km/h
then turned around and ran 221.8 km to the west in 1.2 hours.
Velocity = 221.8/1.2
Velocity = 184.83 km/h
What was his average velocity during the trip in km/h ?
Average velocity = (V + U)/2
Since the two velocity are opposite to each other, the average velocity will be:
Average velocity = (-24.68 + 184.83)/2
Average velocity = 160.15/2
Average velocity = 80.08 km/h
Therefore, his average velocity during the trip is 80.08 km/h
A ball is rolled twice across the same level laboratory table and allowed to roll off
the table and strike the floor. In each trial, the time it takes the ball to travel from the
edge of the table to the floor is accurately measured. [Neglect friction.]
a) In trial A, the ball is traveling at 2.50 meters per second when it reaches
the edge of the table. The ball strikes the floor 0.391 second after rolling
off the edge of the table. Calculate the height of the table. (Organize your
given variables. Do not mix x-variables with the y-variables)
Answer:
Explanation:
To calculate the height of the table in this scenario, we can use the equations of motion. Let's define the variables first:
Initial velocity (u) = 2.50 m/s (given)
Time taken to reach the floor (t) = 0.391 s (given)
Acceleration due to gravity (g) = 9.8 m/s² (assuming the ball falls freely near the surface of the Earth)
Now, we can use the kinematic equation:
h = u * t + (1/2) * g * t²
Plugging in the given values, we have:
h = (2.50 m/s) * (0.391 s) + (1/2) * (9.8 m/s²) * (0.391 s)²
Simplifying the equation:
h = 0.97875 m + 0.07511 m
h = 1.05386 m
Therefore, the height of the table is approximately 1.05386 meters.
A mountain climber has a mass (with all of their equipment) of 95, point, 0, k, g,95.0kg. If they were perfectly efficient, and ate 500, g,500g of chocolate (providing 11, point, 1, M, J,11.1MJ of chemical energy), how high could they climb?
Answer:
11900 meters
Explanation:
Use the Potential energy = mgh formula, substituting these in to get 11.1x10^6 = 95 x 9.81 x h.
Rearrange to make h the subject and the answer given is 11900 (3sig.fig.)
The maximum height to which he can climb will be 1.168 x 10⁴ meters.
What is potential energy?
The potential energy of a body is the energy of the body due it position. The potential energy always exist for two bodies which are in mutual interaction with each other for example by a force. For body a on earth, the potential energy of the body - earth system is -
E[P] = mgh
Given is a mountain climber that has a mass of 95 kg.
We can write -
Mass of climber = [M] = 95 kg
Energy gained by eating the chocolate = [E] = 11.1 MJ = 1.11 x 10⁷ joules
Assume that the height achieved achieve by the climber is [h] meters
Therefore, the potential energy gained at that height will be equal to 11 MJ
Therefore -
mgh = 1.11 x 10⁷
95 x 10 x h = 1.11 x 10⁷
95 x 10 x h = 1110 x 10⁴
h = (1110 x 10⁴)/950
h = 1.168 x 10⁴ meters
Therefore, the maximum height to which he can climb will be 1.168 x 10⁴ meters.
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A student releases a marble from the top of a ramp. The marble increases speed while on the ramp then continues across the floor. The marble travels a total of 120cm in 3.40s.
What is the final velocity (in cm/s)
Answer:
35.2941176 cm/s
Explanation:
round it if you need too
Distance divided by time.
Calculate the volume of this regular solid. A cone 4.5 centimeters high with a radius of 3 centimeters. Label B is pointing to the circular base of the cone.
Answer:42.41
Explanation:
A cross-country skier moves 36 meters eastward, then 44
meters westward, and finally 22 meters eastward.
For this motion, what is the distance moved?
Tap button at left to enter
Distance = 102
answer using our built-in
number pad.
What is the magnitude and direction of the
displacement?
Magnitude =
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answer using our built-in
number pad
Dir'n =
(Tap field to change.)
Check Answers
Answer:
a) 102 meters
b) 14 meters
c) The direction is eastward.
Explanation:
Distance is said to be the length between two points. It is a scalar quantity.
a) The distance moved = 36 + 44 + 22
= 102 meters
b) Displacement is the distance moved in a specified direction.
Representing the distance moved with specific direction as a directed number, 36 meters eastward = +36, 44 meters westward = -44, and 22 meters eastward = +22
/Displacement/ = +36 -44 +22
= +58-44
= 14
The magnitude of the displacement is 14 meters.
c) The direction is eastward.
So that the magnitude of displacement and his direction is 14 meters eastward.
Which one is electrolyte - salt or sugar? Give reasons.
Answer:
Sugar ofc.
Explanation:
Have you seen energy drinks such as gatorade? Electrolytes
Answer:
An electrolyte solution contains water, salt, potassium and sugar in the proper concentration. The salt and sugar also have an added benefit of helping the body absorb the water - it turns out we absorb water with a little salt and sugar much better than we do plain water.
Explanation:
A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.
A rocket ship has several engines and thrusters. While the solid rocket booster (srb) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8. 5 minutes after the launch. Once the srbs are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s. During the first two minutes of flight, the SRB and main engine accelerate at a rate of 52.16 m/s2.
Acceleration is the rate at which a moving object's speed and direction change over time. When something moves faster or slower, it is considered to be accelerating. The engine's initial velocity (u), final velocity (v), and time of motion (t), which is equivalent to two minutes, are the parameters given (2 x 60 s).
The calculations for the main engine's and SRB's acceleration are listed below.
a= Δv / Δt
a=7600-1341 /2*60s
a=52.16 m/s²
As a result, during the first two minutes of flight, the main engine and SRB accelerate at a rate of 52.16 m/s2.
Your question is incomplete but most probably your full question is
A rocket ship has several engines and thrusters. While the Solid Rocket Booster (SRB) and main engines only work together during the first 2 minutes of flight, the main engines operate for a total of 8.5 minutes after the launch. Once the SRBS are released, the main engines alone accelerate the rocket from about 1341 m/s to 7600 m/s.
What is the height of the rocket when the rocket reaches the speed of 7600 m/s? Show your work.
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Which of the following bonds strength ranks in the correct order?
A. S-S < K-K < K-S
B. Mg-Mg < O-O < Mg-O
C. H-H < Ca-H < Ca-Ca
D. Na-Na < Na-Br < Br-Br
Answer:
the answer is A
Explanation:
The answer is A
The Choice in which the bond Strength ranks in the correct order is Choice A; S-S < K-K < K-S
According to the question;
We are required to determine in which choice Bond strength ranks in the correct order.The bond strength of a bond increases with increasing polarity of the bond.
Evidently, From the options above; In Choice A;
The polarity of S-S < K-K < K-S
As such, the bond strength which ranks in the correct order is Choice A: S-S < K-K < K-S
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Using the Kohler curves estimate the following: (a) the radius of the droplet that will form on a sodium chloride particle of mass 10^-18 kg in air that is 0. 1% supersaturated; (b) the relative humidity of the air adjacent to a droplet of radius 0. 4 microns that contains 10^-19 kg of dissolved ammonium sulfate; (c) the critical supersaturation required for an ammonium sulfate particle of mass 10^-19 kg to grow beyond the haze state
By using the Kohler curves is 4×\(10^{-5} cm\). If Rh is not shown in the graph therefore the sensitivity is near 1.00 S Rh is 88%. That is 0.0055 means 0.55%.
Kohler curves, also known as Kohler plots, are a graphical representation of the magnetoresistance of a material as a function of the magnetic field strength. They were first introduced by Walter Kohler in 1934 to describe the behavior of ferromagnetic materials. Kohler curves are useful in the study of magnetic materials and have applications in the development of magnetic sensors and memory devices.
Kohler curves plot the ratio of the resistance of a material at a given magnetic field strength to its resistance in the absence of a magnetic field, versus the square of the magnetization of the material. The resulting curve can be used to determine the degree of spin polarization in the material, which is a measure of the alignment of electron spins in the material with the magnetic field.
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Complete Question:
Using the Kohler curves estimate the following: (a) the radius of the droplet that will form on a sodium chloride particle of mass 10^-18 kg in air that is 0. 1% supersaturated; (b) the relative humidity of the air adjacent to a droplet of radius 0. 4 microns that contains 10^-19 kg of dissolved ammonium sulfate; (c) the critical supersaturation required for an ammonium sulfate particle of mass 10^-19 kg to grow beyond the haze state
The lens of a telescope has a diameter of 25 cm. You are using it to look at two stars that are 2 × 1017 m away from you and 6 × 109 m from each other. You are measuring light with a wavelength of 700 nm. As the light goes through the lens, it diffracts. a. Is it possible, using this telescope, to see the two stars as separate stars? b. What is the minimum possible lens diameter you would need in order to resolve these two stars?
Answer:
a)It is NOT possible using this telescope, to see the two stars as separate stars
b)\(d_{min} =28.466m\)
Explanation:
From the question we are told that:
Diameter of lens,\(d = 25 cm \approx 0.25 m\)
Distance from both star \(D_f= 2*10^{17} m\)
Distance between both stars \(D_b= 6*10^9 m\)
Wavelength of light \(\lambda =700 nm \approx 700*10^-9 m\)
Generally the equation for angle subtended by the two stars at the lens is mathematically given by
\(\theta=\frac{D_f}{D_b}\)
\(\theta=\frac{6*10^9}{2*10^{17}}\)
\(\theta=3.0*10^{-8} rad\)
Generally the equation for minimum angular separation of two object is mathematically given by
\(\theta_{min} = 1.22*\lambda/d\)
\(\theta_{min}= \frac{1.22*700*10^-9}{0.25}\)
\(\theta_{min}= 3.416*10^-^6 rad\)
Therefore
\(\theta < \theta_{min}\)
\(3.0*10^{-8} rad< 3.416*10^-^6 rad\)
It is NOT possible using this telescope, to see the two stars as separate stars
b)
Generally the equation for minimum diameter of the lens is mathematically given by
\(d_{min} =\frac{ 1.22*\lambda}{\theta}\)
\(d_{min} =\frac{ 1.22*700*10^{-9}}{3*10^{-8}}\)
\(d_{min} =28.466m\)
an electric heater is really just a resistor with a voltage across it. if you want to have 530 w of heat with a voltage v = 125 volts, what resistance (ω) should the heater coil have?
The resistance of the heater coil should be approximately 29.5 Ω. The power (P) dissipated by a resistor with resistance R and voltage V across it can be calculated using the formula P = V^2/R. Rearranging this formula, we can solve for R: R = V^2/P.
Substituting the given values, we get R = (125 V)^2 / 530 W = 29.5 Ω (rounded to one decimal place).
Therefore, the resistance of the heater coil should be approximately 29.5 Ω to provide 530 W of heat with a voltage of 125 V.
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A sample of oxygen gas occupies a volume of 200 mL at a pressure of 720 torr. What volume will the gas occupy at a pressure of 800 torr if temperature is held constant
We have that the gas will occupy at a pressure of 800 torr if temperature is held constant a Volume of
\(V_2=0.18L\)
From the Question we are told that
Initial Pressure \(P_1=720\)
final Volume \(V_1=200mL\)
Initial Pressure \(P_2=800\)
final Volume \(V_2=?\)
Generally the equation for Boyle's law is mathematically given as
\(P_1V_1= P_2V_2\)
Therefore
\(V_2=\frac{ P_1V_1}{P_2}\\\\V_2=\frac{ 720*200}{800}\\\\V_2=180mL\)
\(V_2=0.18L\)
The gas will occupy at a pressure of 800 torr if temperature is held constant a Volume of
\(V_2=0.18L\)
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A 1.0-cm-thick layer of water stands on a horizontal slab of glass. Light from within the glass is incident on the glass-water boundary. (a)What is the maximum angle of incidence for which a light ray can emerge into the air above the water?
To find the maximum angle of incidence for which a light ray can emerge into the air above the water, we can apply Snell's law, which relates the angles and refractive indices of the two media involved.
Snell's law states:
n1 * sin(∅1) = n2 * sin(∅2)
where:
n1 is the refractive index of the first medium (in this case, glass),
∅1 is the angle of incidence,
n2 is the refractive index of the second medium (in this case, water),
∅2 is the angle of refraction.
In this problem, the light is incident from the glass into the water, so n1 is the refractive index of glass and n2 is the refractive index of water.
The critical angle (∅c) is the angle of incidence at which the refracted angle becomes 90°. When the angle of incidence exceeds the critical angle, the light is totally internally reflected and does not emerge into the air.
The critical angle can be calculated using the equation:
∅_c = arcsin(n2 / n1)
In this case, the refractive index of glass (n1) is approximately 1.5, and the refractive index of water (n2) is approximately 1.33.
∅_c = arcsin(1.33 / 1.5)
∅_c ≈ arcsin(0.8867)
∅_c ≈ 60.72 degrees
Therefore, the maximum angle of incidence for which a light ray can emerge into the air above the water is approximately 60.72 degrees.
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Describe in words how the nucleus of an atom changes when it undergoes alpha decay.?
I just need a brief description
Alpha decay is a type of nuclear decay occurring by the emission of alpha particles. Thus the nuclei changes to a new nuclei with mass number decreased by 4 units and atomic number decreased by 2 units from the parent atom.
What is nuclear decay?Nuclear decay is the process of radioactive decay of unstable isotopes to form its stable isotopes or new nuclei. Unstable atoms undergo nuclear decay by the emission of alpha or beta particles or by electron capture.
In alpha decay, an alpha particle that is a helium nuclei is emitted with the new nuclei where the mass number reduces by 4 and atomic number reduces by 2.
For instance consider the alpha decay of carbon -14 produces stable beryllium -10 with an alpha particle.
\(\rm _{6}^{14}C \rightarrow _{10}^{4}Be + _{2}^{4}He\).
Similarly in beta decay, an electron is emitted where the atomic number increases by one and mass number does not change.
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What does an element’s molar mass tell you about the element?
Answer:
The molar mass of a compound tells you the mass of one mole of that substance. In other words, it tells you the number of grams per mole of a compound.
A skier traveling downhill has this type of energy
Answer:
potential energy
Explanation:
To understand how to use the relative position and velocity equations to find the linear and angular velocity of members in an assembly.A piston is driven by a crankshaft as shown. The crank arm (member AB) has a length of r1=0.50 in and the connecting rod(member BC) has a length of r2=5.05 in. The crankshaft rotates in the counterclockwise or positive direction.Find the magnitude of the velocity of C, vC, when the piston has moved to the new position?=30.0? and ?=4.92? The crankshaft (member AB) is still rotating at 220 rpm.
The magnitude of the velocity of point C (vC) when the piston has moved to the new position is approximately 6.001 in/s, in the opposite direction of the original motion.
Let's calculate the values to find the magnitude of the velocity of point C (vC) when the piston has moved to the new position.
Length of crank arm, r1 = 0.50 in
Length of connecting rod, r2 = 5.05 in
Angle between the crank arm and the connecting rod, θ = 30.0°
Angle of rotation of the crankshaft, α = 4.92°
Rotational speed of the crankshaft, ω = 220 rpm
Converting lengths to inches:
r1 = 0.50 in
r2 = 5.05 in
Converting angular velocity to rad/s:
ω = (2π * 220 rpm) / 60
ω ≈ 23.094 rad/s
Calculating angular displacement:
θ = α + 180°
θ = (4.92° + 180°)
θ ≈ 184.92°
Calculating the linear velocity of point B:
vB = ω * r1
vB = (23.094 rad/s) * (0.50 in)
vB ≈ 11.547 in/s
Calculating the velocity of C relative to B:
vC/B = ω * r2 * sin(θ)
vC/B = (23.094 rad/s) * (5.05 in) * sin(184.92°)
vC/B ≈ -17.548 in/s (negative sign indicates the direction)
Calculating the magnitude of the velocity of C:
vC = vB + vC/B
vC ≈ 11.547 in/s - 17.548 in/s
vC ≈ -6.001 in/s (negative sign indicates the direction)
Therefore, the magnitude of the velocity of point C (vC) when the piston has moved to the new position is approximately 6.001 in/s, in the opposite direction of the original motion.
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The harmfulness of a germ is called?
suggest how the thermal conductivity of a metal depends on its temperature
Answer:
With an increase in temperature, the electrical conductivity of a pure metal decreases. This implies that the thermal conductivity of the pure metal shows little variance with an increase in temperature. However, a sharp decrease is observed when temperatures approach 0K
A plane is traveling at 300 m/s. How far will it travelin 1 hour?
Answer:
1080000
Explanation:
300 x 60s=18000m/minute
18000 x 60min=1080000m/h
Explanation:
What was the MAIN purpose of the International Cotton Expositions held in Atlanta
during the New South Era?
Answer:
To foster trade between southern states and South American nations. Also to show the products and facilities to share in Europe & rest of nation.
A 2 kg block is pulled with 5.3 N of force to the right. The block experiences 0.9 N of friction. What is the acceleration of the block?
0.265m/sec is the acceleration of the block when it is pulled with force of 5.3n having mass 2kg with friction 0.9N
F=ma, Where as F= force m= mass a= acceleration f = friction
F=5.3N m=2kg a=? f=0.9N
The net force applied on the block is original force - friction force which is
(F-Ff)=ma
5.3- (5.3)(0.9)= 2x a
a= 0.265m/sec
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Which wind blows 30 latitude in both hemisphere almost to the equator
In _________, atrial contraction occurs at such a rapid rate that discrete P waves separated by a flat baseline cannot be seen
In atrial flutter, atrial contraction occurs at such a rapid rate that discrete P waves separated by a flat baseline cannot be seen.