A fundraising company agrees to donate an extra $75 for every $100 the school raises through selling cookies. Part A: What is the constant of proportionality

Answers

Answer 1

Answer:

3/4 0r 0.75

Explanation:

Let E represent the extra cash.

Let R represent the amount raised.

From the question given above, we can say that:

The extra cash (E) is directly proportional to the amount raised (R) i.e

Extra cash (E) ∝ Amount raised (R)

E ∝ R

E = KR

NOTE: K is the constant of proportionality.

With the above formula, we can obtain the value of K as follow:

Extra cash (E) = $ 75

Amount raised (R) = $ 100

Constant of proportionality (K) =?

E = KR

75 = K × 100

Divide both side by 100

K = 75/100

K = 3/4 0r 0.75

Thus, the constant of proportionality is 3/4 0r 0.75


Related Questions

A set of electric trains are powered by a 9 V battery. What is the resistance of the trains if they draw 4.0 A of current?

Answers

Answer:

2.25 Ω

Explanation:

Standard equation

 V = IR     re-arrange to

V /I = R   then sub in the values given

9 / 4 = 2.25 Ω

Hi
Please help on question asap if the answer is correct I'll rate you five stars a thanks and maybe even brainliest!


When two light bulbs are connected in series, the resistance in the circuit is increase compared to that with one lightbulb. The increased resistance opposes the flow of current so far fewer electrons pass per second , transferring less energy. The lightbulbs are therefore not as bright as In a circuit with same voltage but only one bulb.

However, when Two lightbulbs are connected in parallel, each loop behaves like a separate circuit . The resistance in each branch is the same as if there were just one light bulb in the whole circuit.there is the same current in each branch of the circuit ,so the bulbs Will light up with the same brightness as a single bulb circuit. The energy stored in the battery will decrease twice as quickly and battery will run out faster than I series circuit.

6) explain the advantages and disadvantages of arranging components in series or parallel.

Answers

When arranging components in a series or parallel configuration, there are advantages and disadvantages to consider:

Advantages of Components Arranged in Series:
1. Increased resistance: Connecting components in series increases the overall resistance in the circuit. This can be advantageous in situations where you want to limit the flow of current or control the amount of power being dissipated.
2. Voltage sharing: In a series circuit, the total voltage of the power supply is divided among the components. This can be useful when you want to ensure that each component receives a specific voltage.
3. Current consistency: The current remains the same throughout the series circuit, which can be beneficial when you need to ensure a consistent current flow through multiple components.

Disadvantages of Components Arranged in Series:
1. Reduced brightness or performance: As mentioned in the question, when light bulbs are connected in series, the increased resistance reduces the flow of current, resulting in dimmer bulbs or reduced performance in other electrical devices.
2. Single point of failure: If one component in a series circuit fails, it can disrupt the entire circuit and cause all components to stop functioning.

Advantages of Components Arranged in Parallel:
1. Brightness and performance: When components such as light bulbs are connected in parallel, each component receives the full voltage, resulting in brighter bulbs and better performance in other devices.
2. Redundancy: In a parallel circuit, if one component fails, the other components can continue to function independently. This provides redundancy and ensures that the failure of one component does not affect the others.
3. Increased current capacity: Parallel arrangement allows the circuit to handle higher currents, which can be useful in situations where high power or heavy loads are required.

Disadvantages of Components Arranged in Parallel:
1. Increased complexity: Parallel circuits require more wiring and connections, which can make the circuit more complex and harder to manage.
2. Higher cost: Parallel circuits may require more components and wiring, resulting in higher costs for materials and installation.

It's important to consider the specific requirements and constraints of the application when deciding whether to arrange components in series or parallel. Each configuration has its advantages and disadvantages, and the choice depends on factors such as desired current flow, voltage distribution, and reliability.I

20 points :) pls answer correctlyy
A 70.0 kg skydiver has a weight of 686 N. Just before opening the parachute, they experience 300 N of air resistance. Use F = ma to determine how much are they currently accelerating?

9.8 m/s^2 down
7.6 m/s^2 down
5.5 m/s^2 down
3.8 m/s^2 down

Answers

Answer:9.8m/s^2down

Explanation:


To help psychologists separate uninformed opinions from examined conclusions, psychologists ________ to conduct research.


use hindsight bias

use overconfidence

perceive patterns in random events

use the scientific method

Answers

To help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.

What is the Scientific method?

The scientific method may be defined as the process of objectively establishing facts through testing and experimentation.

The basic process involves making an observation, forming a hypothesis, making a prediction, conducting an experiment, and finally analyzing the results.

Psychologists generally employ the scientific method before stating the question, offering a theory, and then constructing rigorous laboratory or field experiments to test the hypothesis.

Therefore, to help psychologists separate uninformed opinions from examined conclusions, psychologists use the scientific method to conduct research. Thus, the correct option for this question is D.

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An audio speaker producing a steady sound at an outdoor concert is 42 ft away from you. If you move to a position where the speaker is 77 ft distant, by what factor will the amplitude of the sound change?

Answers

One of the phenomena whose strength changes with the square root of the inverse of the distance from the source is sound.

define amplitude ?

A periodic variable's amplitude measures its change over a single period (such as time or spatial period). A non-periodic signal's magnitude in relation to a standard value is its amplitude. There are several definitions of amplitude (see below), all of which depend on how much the extreme values of the variable deviate from one another. The phase of a periodic function is frequently referred to as the amplitude in older publications.

=(42/77)^2

=(0.545)^2

=0.297025

Thus, the sound increases in volume by around 8% from its initial level.

(The noise level has been lowered by 10.98 dB.)

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Review the characteristics of each type of cell. Then classify each of the following microscopic images as a
eukaryotic or prokaryotic cell.
Prokaryotic Cell
Eukaryotic Cell

Answers

Answer:

The predominantly single-celled organisms of the domains Bacteria and Archaea are classified as prokaryotes (pro– = before; –karyon– = nucleus). Animal cells, ...

A player hits a ball with a bat. The action force is the impact of the bat against the ball. What is the reaction to this force?A. The force of the ball against the batB. The weight of the ballc. C. Air resistance on the balld. D. The grip of the player's hand against the bate. E. none of the above

Answers

The reaction to this force is A:  "The force of the ball against the bat".

Newton's Third Law of Motion states that for every action, there is an equal and opposite reaction. When a player hits a ball with a bat, the action force is the impact of the bat against the ball. The reaction to this force is the equal and opposite force of the ball against the bat, meaning the ball will push back against the bat with the same amount of force that the bat hit it with.

So, the force of the ball against the bat is the equal and opposite reaction to the impact of the bat against the ball.

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1. A strobe pattern is made of marks on a piece of paper recorded every 0.1 s. Two adjacent marks near the middle of the pattern are 3.4 cm apart. Use this information to estimate the instantaneous speed at that point.

Answers

Speed = distance / time

3.4cm / 0.1s = 34 cm/sec

An airplane flies east with a velocity of 150 km/h. It encounters a tail wind of 30 km/h. How fast is the airplane traveling? (convert answer in m/s)

Answers

Answer:

50 m/s

Explanation:

Hi.

just for little clarification, I'd explain what a tail wind is, if you don't mind.

A tail wind is a wind that moves in the direction of the aircraft. If an aircraft is moving in a direction northwards, then a tail wind is also a wind moving northwards.

Now to the question, the airplane is flying at, 150 km/h with a tail wind of 30 km/h.

The airplane's speed is then,

150 + 30 = 180 km/h

And to convert to m/s, we have

180 km/h = 180 * 1000/3600 m/s

180 km/h = 50 m/s

What is the net force on this object A: 0 newtons b: 200 newtons c:400 newtons D:600 newtons

What is the net force on this object A: 0 newtons b: 200 newtons c:400 newtons D:600 newtons

Answers

Answer:

100kg

Explanation:

Total force =400N+600N=1000N

As we have,

F=m×g

1000N=m×10m/s²

1000N÷10m/s²=m

m=100kg

Giant electric eels can deliver a shock of 590 V with up to 1.0 A of current for a brief time. A snorkeler in salt water has a body resistance of about 770 Ω. A current of about 500 mA can cause heart fibrillation and death if it lasts too long.

A)What is the maximum power max a giant electric eel can deliver to its prey?

B)If the snorkeler is struck by the eel, what current will pass through her body?

C)Is this current large enough to be dangerous?

D)What power received does the snorkeler receive from the eel?

Answers

Answer:

Explanation:

Given:

U = 590 V

I = 1.0 A

R₁ = 770 Ω

I* = 500 mA = 0.5 A

_________________

P - ?

A)

Power:

P = U·I = 590·1.0 = 590 W

B)

Сurrent:

I₁ = U / R ₁ = 590 / 770 = 0.770 A =  770 mA

C)

This current is life-threatening!!!

I₁ > I*     (700 mA > 500 mA)

D)

Energy received:

E = I₁²·R₁ = 0.770²· 770 ≈ 460 W

Difference between compressions and rarefactions

Answers

Answer:

Compression- a region in a longitudinal (sound) wave where the particles are closest together. Rarefaction- a region in a longitudinal (sound) wave where the particles are furthest apart.

Answer:

please mark as brainliest!!!!

Explanation:

Compression- a region in a longitudinal (sound) wave where the particles are closest together.

Rarefaction- a region in a longitudinal (sound) wave where the particles are furthest apart.

Science has been wrong in the past. For example, we now know that the original models of the atom were not fully correct. In response to this, a friend tells you, "Science cannot be trusted. Don't believe anything a scientist says." What is your response to this statement? (For full credit, you need to write at least a full sentence explanation"

Answers

Although it is true that scientific models and hypotheses have been updated and improved over time, this is not sufficient justification to reject science as a whole or to doubt what scientists claim.

Given that we are aware of their limitations, why do scientists continue to employ atomic model simulations?

Models aid in our comprehension of systems and their characteristics. An atomic model, for instance, depicts what an atom's structure may like based on what is known about how atoms function. It may not accurately represent the precise makeup of an atom. Models are frequently condensed.

Why do scientific theories alter over time, including the atomic model?

Over time, this atomic model has evolved. The model was used by scientists to make predictions. Their trials occasionally yielded unexpected outcomes that did not match the pre-existing model. The model was modified by scientists so that it could account for the fresh data.

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LAb motion What do the key results indicate?

Answers

Answer:The key results explains how you achieve a certain goal. They have to be quantitative, but always measurable in terms of their progress.

Explanation:

PLEASE ANSWERRRRR

a) A microwave oven that draws 0.8 kWh is used for one hour. At a cost of 7.5 cents per kWh, what is the cost of the microwave’s electrical energy consumption?

b) What is the cost for the microwave if it is used one day for 20 min?

(c) What is the cost of using the microwave for 20 min a day for a month of 30 days?

Answers

a) A microwave oven that draws 0.8 kWh is used for one hour. At a cost of 7.5 cents per kWh, then the cost of the microwave’s electrical energy consumption is 7.5 cents per kWh.

b) the cost for the microwave if it is used one day for 20 min is  1.98 cents.

(c) the cost of using the microwave for 20 min a day for a month of 30 days is 59.4 cents.

Given,

Energy consumption of microwave = 0.8 kWh

cost = 7.5 cents/kWh

20 min = 0.33hr

Energy consumption in 20 min = 0.8 kWh × 0.33 = 0.26 kWh.

cost for 20= 0.26 kWh × 7.5 cents/kWh = 1.98 cents

cost for 30 days,

1.98 cents × 30 days = 59.4 cents.

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2. Gerard is riding his bicycle directly east. His maximum
instantaneous velocity was 8 meters per second and his
minimum instantaneous velocity was 0 meters per second. He
covered 7.20 kilometers in 20.0 minutes. What is his average
velocity for the ride?

Answers

Gerard's average velocity for the ride is 6 meters per second.

To find Gerard's average velocity for the ride, we can use the formula:

Average velocity = Total displacement / Total time

First, we need to convert the distance traveled from kilometers to meters:

7.20 kilometers * 1000 = 7200 meters

Next, we convert the time from minutes to seconds:

20.0 minutes * 60 = 1200 seconds

Now, we can calculate the total displacement by subtracting the initial position from the final position. Since Gerard is riding directly east, there is no change in the east-west direction, so the displacement is equal to the distance traveled:

Total displacement = 7200 meters

Finally, we substitute the values into the average velocity formula:

Average velocity = 7200 meters / 1200 seconds

Average velocity = 6 meters per second

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Assume that a car with a full tank of gasoline is closed system. Which two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same? The car's engine makes sounds as it runs. The car's engine gets hot as it burns gasoline. The car remains full of gasoline if its engine stays off. The car uses more gasoline as it goes faster.

Answers

The two evidence are the car's engine gets hot as it burns gasoline are the car remains full of gasoline if its engine stays off.

Which two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same?

The car's engine gets hot as it burns gasoline and the car remains full of gasoline if its engine stays off are the two pieces of evidence support the conclusion that the total amount of energy in a close system remains the same because when the gasoline burns, the engine gets hotter and when the car remains full of gasoline if its engine stays off which means no energy leaves the system.

So we can conclude that The two evidence are the car's engine gets hot as it burns gasoline are the car remains full of gasoline if its engine stays off.

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at what speed is the top of the ladder along w the electrician sliding down the wall at that instant

at what speed is the top of the ladder along w the electrician sliding down the wall at that instant

Answers

The given problem can be exemplified in the following diagram:

We are given that a ladder is against a wall. According to the diagram, the ladder, the wall, and the floor form a right triangle, therefore, if "T" is the distance from the top to the floor and "B" is the distance from the bottom to the wall we can apply the Pythagorean theorem and we get:

\(T^2+B^2=14^2\)

Now, since we want to know the speed, we will derivate implicitly with respect to time on both sides of the equation:

\(2T\frac{dT}{dt}+2B\frac{dB}{dt}=0\)

Now we solve for the value of the speed of the top of the ladder, this is dT/dt:

\(2T\frac{dT}{dt}=-2B\frac{dB}{dt}\)

The 2 cancels out:

\(T\frac{dT}{dt}=-B\frac{dB}{dt}\)

Now we divide both sides by "T":

\(\frac{dT}{dt}=-\frac{B}{T}\frac{dB}{dt}\)

Now, since we determine the value of "T" from the Pythagorean theorem, we get:

\(T^2+B^2=14^2\)

Subtracting B squared from both sides:

\(T^2=14^2-B^2\)

Taking the square root:

\(T=\sqrt[]{14^2-B^2}\)

Now we replace these values in the formula for the velocity:

\(\frac{dT}{dt}=-\frac{B}{\sqrt[]{14^2-B^2}}\frac{dB}{dt}\)

Now we have an expression for the velocity of the top of the ladder. Replacing the given values:

\(\frac{dT}{dt}=-\frac{6ft}{\sqrt[]{14^2-(6ft)^2}}(1\frac{ft}{s})\)

Solving the operations we get:

\(\frac{dT}{dt}=-0.47\frac{ft}{s}\)

Therefore, the speed of the top of the ladder is -0.47 feet per second.

at what speed is the top of the ladder along w the electrician sliding down the wall at that instant

I NEED HELP!!! PLS HELP ME MARK U BRAINLIEST!!

I NEED HELP!!! PLS HELP ME MARK U BRAINLIEST!!

Answers

Answer:

The answer is X

Explanation:

Cause the highest points will most likely have the most potential energy

A certain satellite travels in an approximately circular orbit of radius 8.8 × 10^6 m with a period of 6 h 12 min. Calculate the mass of its planet from this information.

Answers

The mass of the planet is  5.98 × 10^24 kg.

To calculate the mass of the planet, we can use Kepler's Third Law of Planetary Motion. This law states that the square of the period of revolution of a planet around the sun is directly proportional to the cube of the semi-major axis of its orbit.

First, we need to convert the period of the satellite's orbit to seconds. We know that there are 60 minutes in an hour, so the period can be expressed as (6 × 60 + 12) minutes, which equals 372 minutes. Multiplying this by 60 seconds, we get a period of 22,320 seconds.

Next, we need to find the semi-major axis of the orbit. In a circular orbit, the semi-major axis is equal to the radius of the orbit. Therefore, the semi-major axis is 8.8 × 10^6 m.

Now, we can apply Kepler's Third Law to calculate the mass of the planet. The formula is T^2 = (4π^2/GM) × a^3, where T is the period of revolution, G is the gravitational constant, M is the mass of the planet, and a is the semi-major axis of the orbit.

Rearranging the formula, we can solve for the mass of the planet:
M = (4π^2/G) × a^3 / T^2

Plugging in the values, we get:
M = (4 × π^2 / 6.67430 × 10^-11) × (8.8 × 10^6)^3 / (22,320)^2

Evaluating this expression, we find that the mass of the planet is approximately 5.98 × 10^24 kg.

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Answer this question ASAP i will mark you the brainliest

Answer this question ASAP i will mark you the brainliest

Answers

Answer:

22.7

Explanation:

I tried my best to answer this for you it may be wrong but good luck!

HELP ASAP

Newtons three laws of motion: describe the ______ between an object and the forces acting upon it, and it's motion in_______ to those forces

Answers

Relations with respect to

Explanation:

Laws of Newton are

An object remains at its position of rest or motion until or unless any external force applied.Force=Mass×Acceleration.The initial momentum and final momentum remains same.

Select the correct answer.
F:
B
F:
F:
What is the molecular geometry, or shape, of the molecule shown in the image?
OA
bent
О В.
tetrahedral
trigonal planar
D.
linear

Select the correct answer.F:BF:F:What is the molecular geometry, or shape, of the molecule shown in the

Answers

Answer:

Looks like Trigonal Planar

Explanation:

There are only 3 areas of electron density and no unpaired electrons on the central atom, which indicates trigonal planar.  This image might help...

Select the correct answer.F:BF:F:What is the molecular geometry, or shape, of the molecule shown in the

Answer:

Trigonal Planar

Explanation:

i got it right on plato

Which individual or group had perhaps the most profound effect on establishing social work as a specialized practice

Answers

Answer:

Which individual or group had perhaps the most profound effect on establishing social work as a specialized practice

Explanation:

Consider a vector G pointed 36.9 degrees clockwise from the positive y-axis. The vector's x- component has a value of 3. Find the magnitude of vector G. ​

Answers

A vector quantity has both magnitude and direction, and therefore, can be resolved into components

The magnitude of the vector, G is approximately 5 units

The value of the magnitude of the vector is correct for the following reason:

The given parameters are;

The direction in which the vector, G, is pointed, θ = 36.9° clockwise rotation from the positive y-axis

The x-component of the vector = 3

Required:

To find the magnitude of the vector

Solution:

Let |G|, represent the magnitude of the vector

Given that the angle, is measured from the y-axis, we have;

|G| × sin(θ) = The x-component of the vector

Therefore;

|G| × sin(36.9°) = 3

\(|G| = \dfrac{3}{sin(36.9^{\circ})} \approx 4.9965 \approx 5\)

The magnitude of the vector, G ≈ 5

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A uniform electric field is directed upward and has a magnitude of 24 N/C. A charge of -6 C is placed in this
field.


The direction of the force on the charge placed in the electric field is upward.
True or False

Answers

The statement" The direction of the force on the charge placed in the electric field is upward" is false because the direction of the force on a negative charge (-6 C) placed in an upward-directed uniform electric field of magnitude 24 N/C would be downward.

The direction of the force on a charged particle placed in an electric field is determined by the charge of the particle and the direction of the electric field. In this case, a charge of -6 C is placed in an electric field directed upward with a magnitude of 24 N/C.

The force on a charged particle in an electric field can be calculated using the formula:

F = q * E

Where F is the force, q is the charge of the particle, and E is the electric field.

Since the charge q in this case is negative (-6 C) and the electric field E is directed upward, we can substitute the values into the formula:

F = (-6 C) * (24 N/C)

F = -144 N

The negative sign in the force value indicates that the force is in the opposite direction to the electric field. Therefore, the force on the charge placed in the electric field is downward, not upward.

The force on a negative charge is always opposite to the direction of the electric field. This is because negative charges experience an attractive force towards positive charges, and electric fields are directed from positive charges to negative charges.

Therefore, the statement "The direction of the force on the charge placed in the electric field is upward." is false.

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A hot air balloon is rising upward with a constant speed of 3.80m/s. When the balloon is 4.25m above the ground, the balloonist accidentally drops a compass over the side of the balloon. How much time elapses before the compass hits the ground

Answers

We can calculate the time taken by the compass to hit the ground by using kinematic equations of motion. The motion of the compass is a free-fall motion since it is only under the influence of gravity. When the compass is dropped, it is initially at rest.

After that, it falls down to the ground with the acceleration due to gravity. Given that the balloon is rising upward with a constant speed of 3.80m/s. Hence, the velocity of the compass when it is dropped will be equal to the velocity of the balloon, which is 3.80m/s. The acceleration due to gravity is 9.81m/s². We can use the following kinematic equation of motion to calculate the time taken by the compass to hit the ground: `y = vi * t + 0.5 * a * t²`, where `y` is the height, `vi` is the initial velocity, `a` is the acceleration, and `t` is the time taken.We know that the initial height of the compass is 4.25m, the initial velocity is 3.80m/s, and the acceleration due to gravity is 9.81m/s². We need to find the time taken by the compass to hit the ground. Using the above kinematic equation, we get:`0 = 3.80t + 0.5 * 9.81 * t²`Simplifying the equation, we get:`4.905t² + 3.80t = 0`Factorizing the equation, we get:`t(4.905t + 3.80) = 0`Solving for `t`, we get:`t = 0` (since time cannot be negative)`t = -3.80/4.905 = -0.776s`We ignore the negative value of time since time cannot be negative. Hence, the time taken by the compass to hit the ground is `t = 0.776s`.Answer: `0.776s`

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A scientist asks, "Does a skateboard move faster on sand or gravel?" Which
experiment could answer this question?
A. Weigh 1 gallon of sand, then roll a skateboard on that sand.
B. Roll a skateboard on sand, then roll it on gravel.
C. Push a skateboard down a gravel hill, then push the skateboard on the
road.
O A
OB
O C
HINT
SUBMIT

Answers

Roll a skateboard on sand, then roll it on gravel. - this experiment could answer this question. Hence, option (B) is correct.

What is experiment?

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the likelihood or effectiveness of something that has never been tried before. Experiments show what happens when a specific factor is modified, which sheds light on cause-and-effect relationships.

The purpose and scope of experiments vary widely, but they all rely on a repeatable process and a logical examination of the outcomes. Natural experimental experiments are also a thing.

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What is kci and o2 classified as

Answers

KCl ( potassium chloride ) is classified as solid substance while O₂  ( oxygen molecule ) is classified as gaseous substance.

What is KCl?

KCl is an abbreviation for potassium chloride. Potassium chloride ( KCl ) naturally occurs as a white or colorless solid that has a powdery, crystalline appearance.

Potassium chloride ( KCl ) is one of the important raw materials required in the manufacture of potassium metal.

The metal halide salt KCl is also used in the manufacture of soaps.

The chemical formula of potassium chloride ( KCl ), consists of one potassium ( K ) atom and one chlorine ( Cl ) atom.

O₂ is a substance that is known as oxygen molecule and it usually exist in gaseous state.

Thus, we can conclude that we can classify O₂ ( oxygen molecule )which is known as oxygen molecule as gas, and KCl ( potassium chloride ) known as potassium chloride as solid substance.

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An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s = 9 cos(t) + 9 sin(t), t ≥ 0, where s is measured in centimeters and t in seconds. (Take the positive direction to be downward.) (a) Find the velocity and acceleration at time t.

Answers

Answer:

v(t) = s′(t) = −9sin(t)+9cos(t)

a(t) = v′(t) = −9cos(t) −9sin(t)

Explanation:

Given that

s = 9 cos(t) + 9 sin(t), t ≥ 0

Then acceleration and velocity is

v(t) = s′(t) = −9sin(t)+9cos(t)

a(t) = v′(t) = −9cos(t) −9sin(t)

Other Questions
Two roses cost $3.50. How many roses can youbuy for $21? how should you test the tractor semi-trailer connection for security Wednesday morning, the Frankfurt Book Fair opened its doors. Over 280,000 visitors from all over came to Frankfurt, Germany for this event. This is the biggest book fair in the world. It also has the most visited book publishing website in the world. The German Publishers and Booksellers Association runs the fair. The association says that the book market is doing very well. Over 100 countries and almost 7,500 people are showing books at the fair this year. There are over 100,000 new books being shown out of nearly 400,000 books at the fair. Prizes are given to authors and publishers at the fair. There are also meetings about new ways to present books to the public.Which statement best supports the idea that books are very popular? A. Authors and publishers can get prizes at this large book fair. B. The Frankfurt Book Fair has the world's most visited website. C. Over 280,000 visitors came to the book fair on opening day. D. There are many new ways to present books to the public. (HELP EASY MULTIPLE CHOICE ILL GIVE BRAINLY EVEN THOUGH ITS MULTIPLE CHOICE) The tree diagram represents anexperiment consisting of two trials. the hardware that actually produces your hard-copy documents is called a _______. How many acres are in 1 square mile? One acre is equal to 43,560 ft2. please help me answer this question 2. in the figure, x is an exterior angle to the triangle below. (a) explain why x is equal to the sum of the measures of the two nonadjacent interior angles. You need to present the equation with the steps/work that proves this theorem. Step 1: __ Step 2: __ Step 3: __ (b) what is the measurement of suppose that the initial capital stock of the economy is positive. the steady-state capital stock is an increasing function of the initial capital stock What is the domain and range of y=x^2-2x-3 In the long run, new firms will enter a monopolistically competitive industry: provided economies of scale are being realized. even though losses are incurred in the short run. until minimum average total cost is achieved. until economic profits are zero. (WHY DOES MY BED SHAKE AT NIGHT). It is not me because i always stay in one spot most of the time. WHAT IS THE CENTRAL ATOM OF NITRIC OXIDE (NO) Please use Law of Cosine to answer! The north end of earth's axis points the sun in winter. Someone please....Please define the following terms:mercantilism, import, export, enumerated article, legislature, indentured servant, Navigation Acts, Dominion of New England, English Bill of Rights. .A novel virus testing laboratory has 2 machines, A and B, running 60% and 40% respectively of total tests. Suppose 0.0327 of the tests conducted by Machine A and 0.0441 of the tests conducted by Machine B are inaccurate. Create a tree diagram then find the probability that a randomly selected test is inaccurate. Write your final answer in decimal form with FOUR decimal places. Please show stepshy. Solve the differential equation by power series about the ordinary point x = 1: V" + xy' + ry=0 4 (3 + c ) + c = c + 4 what is c?