A cyclist going around a circular track at 10.0 m/sm/s has a centripetal acceleration of 5.00 m/s2m/s2 . What is the radius of the curve

Answers

Answer 1

A cyclist going around a circular track at 10.0 m/s^2 has a centripetal acceleration of 5.00 m/s2m/s2 .The radius of the curve is 20.0 meters.

To find the radius of the curve, we can use the formula for centripetal acceleration:

a = (v^2) / r

Where:

a is the centripetal acceleration (given as 5.00 m/s^2)

v is the velocity of the cyclist (given as 10.0 m/s)

r is the radius of the curve (unknown)

Rearranging the formula to solve for r, we have:

r = (v^2) / a

Plugging in the given values:

v = 10.0 m/s

a = 5.00 m/s^2

r = (10.0^2) / 5.00

Calculating the expression:

r = 100 / 5.00

r = 20.0 meters

Therefore, the radius of the curve is 20.0 meters.

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Related Questions

what is the next larger thickness that would produce constructive interference for this wavelength? g. what are the shortest 2 wavelengths that destructively interfere for the bubble thickness from part e?

Answers

The next larger thickness that would produce constructive interference for this wavelength would be 2t , where t is the thickness of the material.

The two shortest wavelengths that would destructively interfere for the bubble thickness from part e would be 2λ and 4λ, where λ is the wavelength of the incident light.

Constructive interference occurs when two waves from the same source overlap and their amplitudes add together. When the thickness of a material is equal to a half-wavelength of the incident light, the two reflected waves will have the same amplitude and opposite phase, resulting in complete cancellation.

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I wave is a disturbance in matter that transfers energy through the matter.​

Answers

Answer:

ok is this a question? if so i can edit my answer

Explanation:

The brightness of identical bulbs varies depending on whether or not they are connected in series or parallel.(Figure 3) Rank in order, from brightest to dimmest, the identical bulbs A, B, and C. If two bulbs have the same brightness, place one on top of the other.

Answers

The correct option is (E) A is the brightest, and B and C have equal brightness but less than A.

What is electric circuit?

A full conducting path for an electric current is known as an electric circuit. When a battery is plugged into the circuit, electrons go from the battery's negative terminal through one or more electrical devices before returning to the battery's positive terminal. Circuits can be wired in a variety of ways, and these wiring methods can be defined using commonly understood and used language or symbols.The amount of electrons that pass through the circuit per second determines how much current flows through it. When working with batteries, raising the voltage likewise raises the circuit's current. When the brightness of the bulb rises, an increase in current is seen. Any series bulb that is unscrewed creates an open circuit with no current flowing through it.

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I understand that the question you are looking for is "In the circuit shown in the figure, all the lightbulbs are identical. Which of the following is the correct ranking of the brightness of the bulbs?

(A) A and B have equal brightness, and C is the dimmest.

(B) All three bulbs have the same brightness.

(C) B and C have equal brightness, and A is the dimmest.

(D) A is brightest, C is dimmest, and B is in between.

(E) A is the brightest, and B and C have equal brightness but less than A."

if you stare at a red x and then shift your eyes to a white surface, what happens to the image of the x?

Answers

If you stare at a red object and immediately look at a white area afterward, you will see an afterimage that is the same size and shape, but it is blue-green, or cyan, in color. '

This is known as the opponent process theory

State the opponent process theory?

The opponent process theory of color vision says that color is processed in pairs (red-green, yellow-blue, and black-white.)

It means that Light that stimulates one half of the pair inhibits the other half.

In conclusion, this opponent process is thought to be responsible for our perception of color and explains why people experience afterimages.

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Equation for a particle vibrating in simple harmonic motion is 2y = 8 sin (4πt). Its amplitude and angular frequency is:
(a) 6 cm and 2π rad (b) 4cm and 4π rad (c) 16 cm and 4 Hz (d) 32 m and 2 Hz

Answers

Explanation:

The equation 2y = 8 sin (4πt) is a general equation for a particle vibrating in simple harmonic motion. The amplitude of the oscillations is given by the coefficient of the sine term, which is 8 in this equation. Therefore, the amplitude of the particle vibrating in simple harmonic motion is 8 cm.

The angular frequency is given by the coefficient of the variable t, which is 4π in this equation. Therefore, the angular frequency of the particle vibrating in simple harmonic motion is 4π rad/s.

Therefore, the answer is (b) 4 cm and 4π rad.

The work done on an object is equal to the force times the distance moved in the direction of the force. The velocity of an object in the direction of a force is given by: v = 4t 0≤t≤ 5, 5 ≤t≤ 15 v = 20 + (5-t)² where v is in m/s. With step size h=0. 25, determine the work done if a constant force of 200 N is applied for all t a) using Simpson's 1/3 rule (composite formula) b) using the MATLAB function trapz

Answers

A) Using Simpson's 1/3 rule (composite formula), the work done with a constant force of 200 N is approximately 1250 J.

B) Using the MATLAB function trapz, the work done is approximately 7750 J.

Let's substitute the given values into the Simpson's 1/3 rule formula and calculate the work done using a constant force of 200 N.

A) Force (F) = 200 N (constant for all t)

Velocity (v) = 4t (0 ≤ t ≤ 5) and v = 20 + (5 - t)² (5 ≤ t ≤ 15)

Step size (h) = 0.25

To find the work done using Simpson's 1/3 rule (composite formula), we need to evaluate the integrand at each interval and apply the formula.

Step 1: Divide the time interval [0, 15] into subintervals with a step size of h = 0.25, resulting in 61 equally spaced points: t0, t1, t2, ..., t60.

Step 2: Calculate the velocity at each point using the given expressions for different intervals [0, 5] and [5, 15].

For 0 ≤ t ≤ 5: v = 4t For 5 ≤ t ≤ 15: v = 20 + (5 - t)²

Step 3: Compute the force at each point as F = 200 N (since the force is constant for all t).

Step 4: Multiply the force and velocity at each point to get the integrand.

For 0 ≤ t ≤ 5: F * v = 200 * (4t) For 5 ≤ t ≤ 15: F * v = 200 * [20 + (5 - t)²]

Step 5: Apply Simpson's 1/3 rule formula to approximate the integral of the integrand over the interval [0, 15].

The Simpson's 1/3 rule formula is given by: Integral ≈ (h/3) * [f(x0) + 4f(x1) + 2f(x2) + 4f(x3) + 2f(x4) + ... + 4f(xn-1) + f(xn)]

Here, h = 0.25, and n = 60 (since we have 61 equally spaced points, starting from 0).

Step 6: Multiply the result by the step size h to get the work done.

Work done: 1250 J

B) % Define the time intervals and step size

t = 0:0.25:15;

% Calculate the velocity based on the given expressions

v = zeros(size(t));

v(t <= 5) = 4 * t(t <= 5);

v(t >= 5) = 20 + (5 - t(t >= 5)).^2;

% Define the force value

F = 200;

% Calculate the work done using MATLAB's trapz function

\(work_t_r_a_p_z\) = trapz(t, F * v) * 0.25;

% Display the result

disp(['Work done using MATLAB''s trapz function: ' num2str(\(work_t_r_a_p_z\)) ' J']);

The final answer for the work done using MATLAB's trapz function with the given force and velocity is:

Work done using MATLAB's trapz function: 7750 J

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An astronaut is on a spacewalk to make repairs to the solar panel array on the international space station. The astronaut somehow accidentally bumps into the soyuz space( the one the crew rode up to the iss) and the capsule breaks free of its dock. Which statement describes the motion of the capsules after it breaks free of the iss but before the panicked astronaut are able to retrieve it?

Answers

The motion of the Soyuz capsule after it breaks free of the ISS but before the panicked astronaut retrieves it can be described as an initial state of zero velocity and a free-fall motion caused by gravity.

When the Soyuz capsule breaks free of the ISS, it has an initial velocity of zero relative to the ISS. Since there is no air resistance in space, the only force acting on the capsule is gravity, which causes it to fall towards the Earth. The motion of the capsule can be described as a free-fall motion until some other force, such as atmospheric drag, slows it down or stops it.


What quantity is measured on the x-axis of a position vs. time graph.

distance
time
velocity
position

Answers

Answer:

Velocity

Explanation:

An aquarium has a volume of 2.75 cubic
meters. How many liters of water can the
aquarium hold?

Answers

The aquarium can hold 2750 liters because 1 cubic meter equals 1000 liters.

1. What mass can be lifted by the hydraulic press if it is known that the are:
of the small piston is 48cm and that of the large piston is 1440cm, and
the force acting on the small piston can be as large as 1000N. (use g =
10m/s)
C. 3000kg
B. 30kg
D. 30,000kg
A. 300kg

Answers

Answer:

Answer: C. 3000kg

Explanation:

Hydraulic Jack

It's a device that is used to lift heavy loads by applying force via a hydraulic cylinder.

Since the internal pressure on the liquid of the jack is constant, the following relation applies:

\(\displaystyle \frac{F_1}{A_1}=\frac{F_2}{A_2}\)

Where

F1  = Force applied in one end of the jack

A1  = Area of the cylinder of the same end

F2  = Force applied in the other end of the jack

A2  = Area of the cylinder of the other end

If we assume the force is being applied on side 1, then the force on side 2 is calculated by solving for F2:

\(\displaystyle F_2=\frac{F_1.A_2}{A_1}\)

We have F1=1000N, A1= 48~cm^2, A2= 1440~cm^2, thus:

\(\displaystyle F_2=\frac{1000.1440}{48}\)

\(F_2 = 30000 ~N\)

Since we need to know the mass that can be lifted by that force, we use the formula:

W = m.g

Where W is the weight of the mass and g= 10~m/s^2. Since the weight is equal to the force exerted by the jack:

\(\displaystyle m=\frac{W}{g}=\frac{30000}{10}\)

m = 3000 Kg

Answer: C. 3000kg

The period of a pendulum of length 0.500 m is

14.2 s
7.02 s
1.42 s
0.702 s
0.450 s

Answers

Answer:

C. 1.42 s

Explanation:

Givens:

length = 0.5m

gravity = 9.807 m/s

Solve:

T = 2π√(L/g)

T = 2π√(0.5/9.807)

T = 2π√(0.0509)

T = 2π * 0.22579

T = 6.28318 * 0.22579

T = 1.418 ≈ 1.42s

How do you think weather can increase the demand for electricity?




Someone help me! it's 1:23am were i live and i feel like my brain is going to implode

Answers

Answer:

Extreme temperatures can increase demand for heating and cooling, and the resulting increases in electricity demand can push up fuel and electricity prices.

Explanation:

A solid sphere and a hollow sphere, both uniform and having the same mass and radius, roll without slipping toward a hill with the same forward speed V. Which sphere will roll farther up the hill?

Answers

The solid sphere and the hollow sphere will have different rolling motions due to their different moments of inertia. The moment of inertia of a solid sphere is greater than that of a hollow sphere with the same mass and radius because the solid sphere has more mass distributed further from its axis of rotation.

As a result, the solid sphere will roll slower than the hollow sphere, but will have more rotational energy and be able to roll farther up the hill due to its greater inertia.

Therefore, the solid sphere will roll farther up the hill than the hollow sphere, even though they have the same mass and radius and are rolling with the same forward speed V.

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La velocidad de la luz es de 300 000 km/s, convertir a m/s.
ayudenme porfa

Answers

Can you spell it in English

What would happen if an Asteroid hit earth?

Answers

Answer:

There would be tremendous earthquakes and tsunamis, followed by massive volcanism around the impact zone. The ozone layer would be destroyed. The oceans would turn acidic. The Sun would be blotted out, probably for decades.              

Explanation:

    Hope this helps!

Answer: Well it depends on the size. If the asteroid was the size of a basketball, it would most probably turn to dust by the time it reaches the surface. But, if it was the size of Australia, then most probably everyone would die.

Explanation:

2 points
11) Which of the following statements properly relates the variables in the
equation Fdeltat = Deltap?*
A large constant force does not necessarily cause a change in an object's
momentum.
A large constant force acting over a long time interval causes a large change in
momentum.
O A large constant force changes an object's momentum at various time intervals.
A large constant force changes an object's momentum over a long time interval.

Answers

Answer:

A large constant force acting over a long time interval causes a large change in  momentum.

Explanation:

Unpolarized light is passed through two successive polaroid filters, each with its transmission axis at 45.0° to the preceding filter. what percentage of light energy gets through?

Answers

Orange, Blue, and Red are the three filters. They are easy to attach and cover the lens and flash on the front of the Polaroid Go camera.

What do you meant by Polaroid?

The primary benefit of Polaroid photography is the immediate visual feedback. Sharing Polaroid photos is one of the simplest things you can do with them.

An image of a friend is taken and given to the friend. Being one-to-one rather than one-to-the-world makes it a little different from other forms of sharing. Polaroid started to lose some of its major clients in the real estate, insurance, and photo identi-fication industries as digital cameras proliferated on the market.

As film sales collapsed, Polaroid declared bankruptcy in October 2001. A series of chemicals and dyes are sandwiched between layers to make up a Polaroid;

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what are someone of the sources of errors in the ohm's law experiment​

Answers

Common sources of error include instrumental, environmental, procedural, and human. All of these errors can be either random or systematic depending on how they affect the results.

Navigate to the Uniform Circular Motion Interactive in the Physics Interactives section of The Physics Classroom website. https://www.physicsclassroom.com/Physics-Interactives/Circular-and -Satellite Motion Uniform-Circular-Motion/Uniform-Circular-Motion Interactive Experiment with the on-screen buttons in order to gain familiarity with the control of the animation. The object speed, radius of the circle, and object mass can be varied using the sliders or the buttons. The vector nature of velocity and acceleration can be displayed on the screen. A trace of the object's motion is shown. The acceleration of and the net force values are displayed in the animation window. The animation can be started, paused, continued or rewound. After gaining familiarity with the program, use it to answer the following questions.

Answers

The Uniform Circular Motion Interactive is a tool that allows users to explore the physics of uniform circular motion. The user can change the radius of the circle, the speed of the object, and the mass of the object.

When an object moves in a circle at a constant speed, it is said to be in uniform circular motion. The velocity of the object is constantly changing direction, even though the speed is constant. This means that the object is accelerating.

The acceleration of an object in uniform circular motion is directed towards the center of the circle. The magnitude of the acceleration is equal to the square of the speed of the object divided by the radius of the circle.

The net force on an object in uniform circular motion is always directed towards the center of the circle. The magnitude of the net force is equal to the mass of the object times the acceleration of the object.

The Uniform Circular Motion Interactive is a valuable tool for understanding the physics of uniform circular motion. It allows users to explore the effects of changing the radius of the circle, the speed of the object, and the mass of the object on the velocity, acceleration, and net force of the object.

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What does it mean if the gravitational potential energy of an Earth-apple system is 10J?10J? (a) Someone did 10J10J of work lifting the apple. (b) Earth did negative work when someone was lifting the apple. (c) A 100−�100−g apple is 10m10m above the ground. (d) Parts (a) and (c) are both correct. (e) We need more information about the coordinate system and the object.

Answers

The gravitational potential energy of an Earth-apple system is 10 J, a) it means someone did the 10 J of work in lifting the apple and c) A 100 gm apple is 10 m above the ground.

Gravitational potential energy is the energy possessed by an object due to its position relative to the ground surface. It is formulated as:

P = mgh

Where m is the mass of the object, g is the acceleration due to gravity of Earth, and h is the height of the object above ground level. So if someone lifts the apple of 100 gm mass, up to 10 m, then the work done by the person will be the equal to the potential energy of the apple at 10 m height.

m = 100 gm = 0.1 kg

g = 10 m/s²

h = 10 m

P = 0.1 × 10 × 10

P = 10 j

Hence the option (d) is correct.

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An eraser is thrown upward with an initial velocity of 5.0 m/s. The eraser's velocity after 7.0 seconds is ____ m/s.
Answer: -64

Answers

Given parameters:

Initial velocity of eraser  = 5.0m/s

Time  = 7.0s

Unknown:

Final velocity = ?

Solution:

Since we have been given the initial velocity and duration of the throw, we can apply the appropriate motion equation to solve this problem.

       V  = U - 2gt

where V is the final velocity

            U is the initial velocity

             g is the acceleration due to gravity = 9.8m/s²

            t is the time taken

       V  = U - gt

       V = 5 - (9.8)(7)

       V = -63.6 or -64m/s

The velocity is -64m/s

   

As the eraser is thrown upward, its velocity after 7.0 seconds is approximately -64m/s.

Given the data in the question;

Initial velocity of the eraser; \(u = 5.0m/s\)

Final velocity; \(v = \ ?\)

Time; \(t = 7.0s\)

To determine the eraser's velocity after 7.0 seconds, we us the First Equation of Motion:

\(v = u + at\)

Where v is the final velocity, u is the initial velocity, t is the time and a is the acceleration. Since the eraser was thrown upward, acceleration due to gravity becomes ( negative acceleration ) \(g = -9.8m/s^2\)

Hence, the equation becomes

\(v = u - gt\)

We substitute in our values and solve for "v"

\(v = 5.0m/s - ( 9.8m/s^2 \ *\ 7.0s )\\\\v = 5.0m/s - 68.6m/s\\\\v = -63.6m/s\\\\v = -64m/s\)

Therefore, as the eraser is thrown upward, its velocity after 7.0 seconds is approximately -64m/s.

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An eraser is thrown upward with an initial velocity of 5.0 m/s. The eraser's velocity after 7.0 seconds

How many groups are in the modern periodic table?
12
18
22
24

Answers

There are 12 18 22 24 26 30 34 and 579

Answer:

18

Explanation:

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A westward-moving bicycle slows down from 10.0m/s to 4.0m/s. What is the magnitude and direction of the acceleration

Answers

Answer:

a = -6/t (on the opposite direction of the bicycle motion)

Explanation:

For all problems of physics we need to set the positive axis direction. and the origin. In our case the origin location does not make difference since we are only interested in velocities and acceleration. So I'm gonna set the positive axis in the same direction that the bicycle is moving. Therefore, our initial (10 m/s)  and final (4 m/s) velocities are also positive.

However we have some problems. We do not know how this bicycle was decelerated (constant or not). Besides we do not have the information like time or displacement of this deceleration.

So, supposing an uniform deceleration and using the velocity time function for uniform "a", we get:

v = vo + at (set the initial time to 0s)

4 = 10 + at

a = -6/t

So you only can determine the acceleration if you have either the time or the displacement (using Torricelli equation). But we know that our bicycle acceleration points against the direction of the bicycle motion due to the negative sign.

Identify the​ P-value.
​P-value=enter your response here
​(Round to three decimal places as​ needed.)

Answers

I'm sorry, but I cannot provide an answer without additional information. The P-value is typically a result of a statistical test and requires the test statistic force and degrees of freedom to calculate.

Please provide more context or information about the situation or analysis in order to identify the P-value. The P-value is a statistical measure that indicates the likelihood of observing a test statistic as extreme or more extreme than the one calculated if the null hypothesis is true. It is typically used in hypothesis testing to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

To calculate the P-value, you need to know the test statistic, degrees of freedom, and significance level. The P-value is then compared to the significance level to determine whether to reject or fail to reject the null hypothesis.
To identify the P-value, please provide the necessary information related to your statistical test, such as the test statistic, degrees of freedom, and the type of test (e.g., t-test, chi-square test, etc.). Once you provide this information, I can help you find the P-value.

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hiii please help i’ll give brainliest if you give a correct answer please thanks!

hiii please help ill give brainliest if you give a correct answer please thanks!

Answers

The tension force transmitted through the chains.

Answer:

I would say tension force the last one because the gravitational force brinsg it down more.

Explanation:

Dont mind if its wrong im sorry

What is the speed of a wave with a frequency of 10 Hz. and a wavelength of 10 m? (Show Work)

Answers

Answer:

100m/s

Explanation:

speed of wave=frequency × wave length

=10 × 10

=100m/s

Answer:

100 m/s

Explanation:

Formula :

Wave speed (m/s) = Frequency (s⁻¹) x Wavelength (m)

Solving using the given values :

Wave speed = 10 Hz x 10 mWave speed = 100 m/s

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.2×104 N/m.
a. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg?
b. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack?
c. What is the frequency, in Hz, at which he bounces, given his mass and the mass of his equipment is 98 kg if the rope is twice as long?
d. How much would this rope stretch, in centimeters, to break the climber's fall if he free-falls 1.8 m before the rope runs out of slack if he rope was twice the length?

Answers

The length of nylon rope from which a mountain climber is suspended has a force constant of 1.15 ✕ 104 N/m.

What is the force constant measured in?

Spring constant is the common name for the force constant. Hooke's law states that F=-kx. k=N/m is used to replace units in the equation where F is force, x is displacement, and k is force constant (spring constant) to determine the SI unit of force constant (spring constant).

What is a graph's force constant?

The slope (gradient) of the graph equals the force constant. The proportionality constant, or k, is also known as the force constant in physics. A spring that is more rigid will have a higher value for k. The graph is no longer a straight line beyond point A since the gradient has changed and the formula F = Kx is no longer valid.

Calculation:

Maximum speed is at equilibrium where:

F = kx ⇒x =F/k

Now, F x=1/2mv²+1/2kx²

Solving we get,

V=F/√mk=Vmax

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what is Adolescence??​

Answers

Answer: the definition of adolescence is-Adolescence is a transitional stage of physical and psychological development that generally occurs during the period from puberty to adulthood. Adolescence is usually associated with the teenage years, but its physical, psychological or cultural expressions may begin earlier and end later.

Explanation:

the magnetic field lines around a long, straight current are in the form of group of answer choices straight lines parallel to the current. straight lines that radiate perpendicularly from the current, like the spokes of a wheel. concentric circles centered on the current. concentric helixes whose axis is the current.

Answers

The magnetic field lines around a long, straight current are in the form of concentric circles centered on the current.

This is because the magnetic field lines follow the right-hand rule, which dictates that the direction of the magnetic field is perpendicular to both the direction of the current and the direction of the thumb when the fingers are wrapped around the current.

Therefore, the magnetic field lines will form circles around the current, with the current passing through the center of these circles. This concept can discussing the physics behind the right-hand rule, the properties of magnetic fields, and the specific shape of the field lines around a long, straight current.

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According to newton’s first law of motion, an object that is moving will change its motion only if what kind of forces act on it?.

Answers

When an outside force acts on an object in motion, the object's motion will alter.

In the event that the forces acting on the object are balanced, what does Newton's first law state about a moving item?

According to Newton's First Law of Motion, an object at rest will stay at rest unless another object applies an imbalanced force on it. Additionally, it asserts that a body in motion will continue to move in the same direction and at the same pace unless it is being affected by an imbalanced force.

What does the first law of motion for a moving object state?

According to Newton's first law, unless it is affected by an unbalanced force, an item will either stay at rest or move at a constant speed in a straight line.

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Question 1 (1 point)Where did Hinduism first develop?IndiaabEurope0Africa.odChina If 15.5 mL of 0.225 M aqueous magnesium chloride is added to 37.5 mL of 0.250 M aqueous lead(II) nitrate, then what mass of lead(II) chloride precipitates?A. 0.485 g.B. 0.971 g.C. 1.94 g.D. 3.888 g.E. 5.82 8 g. Which statement best characterizes under what circumstances you should add your social media profile to a resume? You should add your profile even if it is not entirely professional. You should add your profile even if it is not entirely professional. You should add your profile, but it should be entertaining and help you stand out. You should add your profile, but it should be entertaining and help you stand out. You should not add your profile under any circumstancesit is unprofessional. You should not add your profile under any circumstancesit is unprofessional. You should add your profile, but it should be professional and positive. at rest, what is the relative contribution of the sympathetic and parasympathetic nervous systems to the regulation of homeostasis? 1. Suppose that z depends on variables r, s, and t, and r, s, and t each depend on a variable . Find a formula for dz/dx. (a) dz/dx = z/r dr/dx = z/s ds/dx = z/t dt/dx(b) dz/dx = z/r dr/dx + z/s ds/dx + z/t dt/dx(c) dz/dx = x/t dr/dx + x/s ds/dt + x/t dt/dt(d) dz/dx = x/r r/z + x/s s/z + x/t t/z(e) None of the other choices. How did the poster above reflect the changing role of women in American society? you own a 5.5%, semiannual coupon bond that matures in 8 years. the par value is $1,000 and the current yield to maturity is 6.4%. what will the percentage change in the price of your bond be if the yield to maturity suddenly increases by 50 basis points? The CPU begins program execution of instructions specified in the class containing the main method True False what is the solution to the division problem below? The primary care pediatric nurse practitioner diagnoses a 5yearold child withasthma and prescribes an oral steroid and a shortacting betaadrenergic medication via a metereddose inhaler to manage acute symptoms. Along with education about the prescribed medications, what information is important to give the child's family at this visit? What are the slope and the y-intercept of the linear function that is represented by the table? x y Negative three-fourths Negative StartFraction 1 Over 30 EndFraction Negative one-half Negative StartFraction 2 Over 15 EndFraction One-fourth Negative StartFraction 13 Over 30 EndFraction Two-thirds Negative three-fifths a The slope is Negative two-fifths, and the y-intercept is Negative one-third. b The slope is Negative one-third, and the y-intercept is Negative two-fifths. c The slope is One-third, and the y-intercept is Negative two-fifths. d The slope is Two-fifths, and the y-intercept is Negative one-third. Find two consecutive odd integers such that 28 more than the lesser is three times the greater.The lesser consecutive odd integer is , and the greater consecutive odd integer is What is the length of the unknown side of this right triangle? (DO NOTESTIMATE) 3) Analysis: Imagine you were an American citizen in 1962 listening to President Kennedy'sspeech. Would you be convinced after this speech that America should invest in theSpace Race? Why or why not? | Question # 1Multiple ChoiceWhich of the following terms refers to the area of law that defines the relationship between the federal government and stategovernments?common lawO judicial reviewO stare decisisO constitutional lawO federal system Alma was given some money as a gift and deposited it into a savings account. She makes a withdrawal of the same amount at the end of each month. At the end of the 5th month, her balance was $442. At the end of the 13th month, her balance was $226.What is the input?O- the monthly withdrawalO- the number of monthsO- the balance of the accountO- the starting amount in the accountWhat is the output?O- the monthly withdrawalO- the number of monthsO- the balance in the accountWhat are the two points described in the real-world scenario?O- (442, 5) and (226,13)O- (5, 226) and (13, 442)O- (5, 442) and (13, 226)O- (442, 13) and (226. 5) What are 5 examples of potential energy? Could you actually show me how to do the whole answer .Number 21. Solve the equation. What is the equation of the function that is graphed as line a? Calculate the mass of water produced when 2.78 g of butane reacts with excess oxygen.Express the mass of water numerically in grams.