how long does it take sound to travel the distance between the two microphones? Given.:wave 1 of microphone 1 has T=2 sec and f=1/2Hz and the speed of propagation of the sound is 330m/s​

How Long Does It Take Sound To Travel The Distance Between The Two Microphones? Given.:wave 1 Of Microphone

Answers

Answer 1

Answer:

0.00583 seconds

Explanation:


Related Questions

How many significant figures? 53,598 m/sec

Answers

Answer:

This has 5 significant figures.

What are the benefits and drawbacks of using renewable energy sources to generate electricity?

Answers

Answer:

benefits

Diversifying energy supply and reducing dependence on imported fuels.

Creating economic development and jobs in manufacturing, installation, and more.

drawbacks

Large areas of landfill are required

Hydroelectric power is generated from flowing water, which turns turbines and generates electricity

Explanation:

Invasive species often display a wave of advance as they colonize new areas. Mathematical models based on random dispersal and reproduction have demonstrated that the speed with which such waves move is given by the expression 2 Dr , where r is the reproductive rate of individuals and D is a parameter quantifying dispersal. Calculate v'(r), the derivative of the wave speed with respect to the reproductive rate r.

Answers

Complete Question

The complete question is shown on the first uploaded image

Answer:

The derivative is  [tex]v(r)' =  \sqrt{\frac{D}{r} }[/tex]

The correct option is option 1

Explanation:

From  the question we are told that

   The equation of the speed of the wave of invasion is  [tex]v(r)  = 2 \sqrt{Dr}[/tex]

=>  [tex]v(r)  = 2 (Dr)^{\frac{1}{2} }[/tex]

=>  [tex]v(r)  = 2 * D^{\frac{1}{2} } r^{\frac{1}{2} }[/tex]

    Here r is the reproductive rate and the D is the parameter qualifying dispersal

Generally the derivative of this speed is mathematically represented as

         [tex]v(r)' = \frac{2}{2}  *  D^{\frac{1}{2} } *  r^{-\frac{1}{2} }[/tex]

=>     [tex]v(r)' =  \sqrt{\frac{D}{r} }[/tex]  

This derivative of the speed represents the rate of change of the invasive speed with respect to the the reproductive rate of an individual

The two objects have different masses, the more massive object pulls with a greater force. TRUE OR FALSE?

Answers

Answer:

on earth yes, but in space no because there is no gravity

Explanation:

plz can i have some points

The force exerted by an object depends on the mass of the object. Greater mass results in greater force. Hence, the statement is true.

What is force?

Force is an external agent acts on a body to change the substance from the state of rest or motion. There are various kinds of force such as nuclear force, magnetic force, frictional force etc.

According to Newton's law of motion force in a moving body is the product of its mass and acceleration. Hence, force is directly proportional to mass and acceleration and an increase in these quantities will increase the force exerted by the body.

Thus, greater force is needed to a move a body with greater mass. If two objects of different masses exerts force each other, the greater force will be exerted by the massive body.

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1. If a ball is rolling horizontally on the floor with a velocity of 2.5 m/s, what are the x and y
components of the velocity?
Vx =
Vy =

Answers

Answer: Vx = 2.5m/s and Vy = 0m/s

             

Explanation: The ball is rolling horizontally on the floor, meaning there isn't a change in the vertical position, only horizontal. The ball is rolling with pure horizontal motion and isn't moving in the vertical direction.

Acceleration is the rate of change in the speed of an object. To determine the rate of acceleration, you use the formula below. The units for acceleration are meters per second per second or m/s2.

Answers

Explanation:

Acceleration is the rate of change in the speed of an object. If initial and final speed are v₁ and v₂. It changes speed in time t. Its formula is given by :

[tex]a=\dfrac{v_2-v_1}{t}[/tex]

The problem is "A skater increases her velocity from 2.0 m/s to 10.0 m/s in 3.0 seconds. What is the skater’s acceleration? "

In this problem,

v₁ = 2 , v₂ = 10 m/s and t = 3 s

Acceleration of the object,

[tex]a=\dfrac{10-2}{3}\\\\a=2.67\ m/s^2[/tex]

So, the acceleration of the skater is [tex]2.67\ m/s^2[/tex].

convert 9.2 km to m​

Answers

Answer:

9,200 m

Explanation:

1 kilometer = 1000 meters so if there is 9 kilometers then it is 9000 meters, then .2 kilometer is equal to 200 meters. Add the numbers together to get 9,200 meters

PLEASE HURRY!

Zach listed the process of how laser beams are produced with crystals.

A flashlamp pumps energy through the crystal.
Atoms in the crystal absorb and then release some of the energy as light.
Light bounces off mirrors and occasionally bounces off crystal atoms, increasing in energy.
Some light escapes the tube through the highly reflective mirror, forming a concentrated beam.

Which best describes Zach’s error?

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal.
The atoms in the crystal do not release energy; they only absorb energy.
Light does not bounce off mirrors; it focuses through glass lenses.
Light escapes through the partially reflective mirror, not the highly reflective mirror.

Answers

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal best describes Zach’s error.

What is a laser?

A device that uses stimulated emission of photons from excited atoms or molecules to produce a strong beam of coherent monochromatic light is a laser.

When electrons in optical materials like glass, crystal, or gas absorb energy from an electrical current or light, a laser is formed.

The increased energy excites the electrons, causing them to migrate from a lower-energy orbit around the nucleus to a higher-energy orbit.

The crystal pumps energy through the flashlamp; the flashlamp does not pump energy through the crystal. This statement is incorrect.

Hence Option A best describes Zach’s error.

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Answer:

D. Light escapes through the partially reflective mirror, not the highly reflective mirror.

Explanation:

edge 2022, I took the test.

MathPhys Pls PLS PLS PLS HELP ME!!!!
Which of these statements describes the relationship between mass and weight?

(1 Point)

Mass is always greater than weight.

Mass of an object changes based on location, weight stays constant.

Mass of an object is constant, weight changes based on location.

Mass and weight are the same measurement.

Answers

Answer:

Usually, the relationship between mass and weight on Earth is highly proportional; objects that are a hundred times more massive than a one-liter bottle of soda almost always weigh a hundred times more—approximately 1,000 newtons, which is the weight one would expect on Earth from an object with a mass slightly greater ...

13. A baseball pitcher throws a fastball at a speed of 46m/s. The
acceleration occurs as the pitcher holds the ball in his hand and moves it
through an almost straight line distance of 3.5 m. Calculate the
acceleration, assume it is constant and uniform. (Answer in 3 sig figs and
do not include units) *

Answers

Answer: Approximately 302 m/s^2

================================================

Work Shown:

s = starting velocity = 0

f = final velocity  = 46

d = distance = 3.5

a = acceleration = unknown (we're solving for this)

[tex]f^2 = s^2 + 2a*d \ \ \text{ ..... one of the kinematics equations}\\\\46^2 = 0^2 + 2a*3.5\\\\2116 = 7a\\\\7a = 2116\\\\a = \frac{2116}{7}\\\\a \approx 302.28571\\\\a \approx 302[/tex]

The acceleration to three sig figs is roughly 302 m/s^2

The acceleration is so large because the ball's final velocity is incredibly fast in such a short amount of time.

You use a knife to cut a piece of bread. What kind of simple machine are you
using?
A. Wedge
B. Inclined plane
C. Screw
O D. Lever

Answers

Answer:

the answer is A.) Wedge

A knife to cut a piece of bread is a A. Wedge

What is a simple machine?

A simple machine, any of several devices with few or no moving parts that are used to modify motion and the magnitude of a force in order to perform work.

since , a wedge is a simple machine  with two inclined planes which when put together forms a sharped edge, which forms a triangular shaped tool which can be used to separate portion of  two objects .

hence , a knife to cut a piece of bread is a A. Wedge

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which refers to the distance between two crests or two troughs on a transverse wave?
wavelength
amplitude
frequency
hertz

Answers

Answer:

wavelength

Explanation:

the definition of wavelength is the distance from one Crest to the next crest,or one trough to the next trough

The phenomenon that refers to the distance between two crests or two troughs on a transverse wave is wavelength.

What is wavelength?

Wavelength is simply defined as the distance between successive crests of a wave, particularly in a sound.

In conclusion, wavelength refers to a traveling particle.

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Please help A.S.A.P
If the bands in an igneous rock are dark. What kind of magma was present when it was formed?

Answers

Answer:

The magma, molten rock under the surface, and lava (molten rock on the surface) harden into igneous rock. The igneous rock then breaks apart over time through the process of weathering.

Explanation:

To decorate for a party, Simon needs 1,850 centimeters of colorful streamers. If the ratio of meters to centimeters is 1 : 100, how many meters of streamers does he require?

A.
18,500 meters
B.
185 meters
C.
18.5 meters
D.
1.85 meters

Answers

C because 1,850 divided by 100 is 18.50 but since zeros do not matter in decimals ( unless it is money ) we can removes the zero making it 18.5 meters

what is mechanical energy​

Answers

Explanation:  

In physical sciences, mechanical energy is the sum of potential energy and kinetic energy. It is the macroscopic energy associated with a system. The principle of conservation of mechanical energy states that if an isolated system is subject only to conservative forces, then the mechanical energy is constant. If an object moves in the opposite direction of a conservative net force, the potential energy will increase; and if the speed (not the velocity) of the object changes, the kinetic energy of the object also changes. In all real systems, however, nonconservative forces, such as frictional forces, will be present, but if they are of negligible magnitude, the mechanical energy changes little and its conservation is a useful approximation. In elastic collisions, the kinetic energy is conserved, but in inelastic collisions some mechanical energy may be converted into thermal energy. The equivalence between lost mechanical energy (dissipation) and an increase in temperature was discovered by James Prescott Joule.

How long will it take a car to go from a complete stop to 44 km/hr if they are accelerating at 5 km/hr^2

Answers

Answer:

8.8 hours

Explanation:

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If two cars are 5 m apart, and one car has a mass of 2,565 kg and the other
car has a mass of 4,264 kg, what is the gravitational force between the two
cars? Newton's law of gravitation is F gravity
Gm; m2 The gravitational
constant G is 6.67 x 10-11 Nm2/kg?.
A. 5.84 x 10-6N
B. 4.37 % 105 N.
C. 1.46 10-4N
D. 2.92 x 10-5 N

Answers

Gravitational force between two cars are 2.92 × 10 ⁻¹¹ Nm²/kg.

The universal force of attraction happened between two objects is called as gravitational force.

The mass of the two cars, m₁ = 2565 kg

                                            m₂ = 4264 kg

                                             r = 5m

                                            G = 6.67 ₓ 10 ⁻11 Nm²/kg

How gravitational force can be calculated?

Definition of gravitational force: The force of attraction between any two bodies is directly proportional to the product of the masses and inversely proportional to the square of the distance between them.

                            F ∝ m₁ m₂ ÷ r²

where the force exerted between the two masses m₁ and m₂,

                            F = G (m₁ m₂) ÷ r²

where as,  F - Gravitational force between two bodies,

                 G - Gravitational constant,

                 m₁ - mass of the first body,

                m₂ - mass of the second body,

                r² - square of the distance between two bodies.

                        F= 6.67 × 10⁻¹¹ Nm²/kg ( 2565 kg × 4264 kg) ÷ ( 5²)

         Hence,

                         F = 2.92 × 10⁻⁵ N

Option D is correct answer.

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In the desert air, sound travels at 358 meters per second (m/s). In the polar air, sound travels at 330 meters per
second (m/s). What can you conclude from this information?
A - The speed of sound is constant.
B - Sound waves travel fastest in a vacuum.
C-The temperature of the air affects the speed of sound.
D-Sound waves travel at the same speed everywhere on Earth.
Please provide your answer below using CER
1. Claim: What is your choice for the correct answer?
2. Evidence: What evidence did you observe from the test-like question that made you decide on your answer?
3. Reasoning: Provide an elaboration on your evidence, possible prior knowledge about your claim.

Answers

Answer:

The correct option is;

C. The temperature of the air affects the speed of sound

Explanation:

The information given are;

The speed with which sound travels in the desert air = 358 m/s

The speed with which sound travels in the polar air = 330 m/s

The major difference between the desert air and the polar air is that the temperature of the desert air is hotter than the temperature of the air in the polar region. Therefore the speed of sound is affected by the air temperature.

The equation that gives the relationship of the speed of sound in air, [tex]v_{air}[/tex], to temperature is presented as follows;

[tex]v_{air} = 331\frac{m}{s} \times \sqrt{\dfrac{T_K}{273 K} } = 331\frac{m}{s} \times \sqrt{1 + \dfrac{T_{^{\circ}C}}{273 ^{\circ} C} }[/tex]

Which shows that the speed of sound in air, [tex]v_{air}[/tex], rises as the temperature of the air rises.

Where;

[tex]T_{^{\circ}C}[/tex] = The temperature of the air in degrees Celsius

[tex]T_K[/tex] = The temperature of the air in degrees Kelvin.

An object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below. (a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second? (b) What is t the first time that the object is at its farthest right? (c) At the time found in part (b), what is the object's velocity? (d) At the time found in part (b), what is the object's acceleration?

Answers

Answer:

a.) 10Hz

b.) 0.1 s

c.) 187.4 m/s

d.) -412.6 m/s^2

Explanation:

Given that an object is moving back and forth on the x-axis according to the equation x(t) = 3sin(20πt), t> 0, where x(t) is measured in cm and t in seconds. Give decimal answers below.

(a) How many complete back-and-forth motions (from the origin to the right, back to the origin, to the left and finally back to the origin) does the object make in one second?

from the equation given,  the angular speed w = 20π

but w = 2πf

where f = frequency.

substitute w for 20π

20π = 2πf

f = 20π/2π

f = 10 Hz

(b) What is t the first time that the object is at its farthest right?

since F = 1/T

T = 1 / f

T = 1/10

T = 0.1 s

Therefore, the t of  first time that the object is at its farthest right is 0.1 s

(c) At the time found in part (b), what is the object's velocity?

The velocity can be found by differentiating the equation;

x(t) = 3sin(20πt)

dx/dt = 60πcos(20πt)

where dx/dt  = velocity V

V = 60πcos(20π * 0.1)

V = 187.4 m/s

(d) At the time found in part (b), what is the object's acceleration?

to get the acceleration, differentiate equation  V = 60πcos(20πt)

dv/dt = -1200πSin(20πt)

dv/dt = acceleration a

a = -1200πSin(20πt)

substitute t into the equation

a = -1200πSin(20π * 0.1)

a = - 412.6 m/s^2

The type of motion the object undergoes that consist of a back-and-forth

movement that is repetitive is a simple harmonic motion.

The correct responses are;

(a) Number of complete back-and-forth motions per second is 10(b) The first time is after 0.025 seconds(c) Velocity is 0(d) Acceleration is approximately -11843.53 m/s²

Reasons:

The equation that represents the motion of the object is x(t) = 3·sin(20·π·t)

Where;

t ≥ 0

x(t) is in cm, and t is in seconds.

(a) The general sine function is y = A·sin(B·(t - C) + D

[tex]\mathrm{The \ period \ P} = \dfrac{2 \cdot \pi}{B}[/tex]

By comparison, we have;

B = 20·π

Therefore;

[tex]P = \dfrac{2 \cdot \pi}{20 \cdot \pi} = \dfrac{1}{10} = 0.1[/tex]

The period, which is the time to complete one cycle = 0.1 seconds

The number of cycle completed per second, is the frequency, f

[tex]f = \dfrac{1}{P} = \dfrac{1}{0.1} = 10[/tex]

f = 10 Hz = 10 cycles

The number of cycle completed per second is f = 10 cycles

(b) When the object is at the farthest right, we have;

sin(20·π·t) = Maximum = 1

[tex]\mathbf{sin\left(\dfrac{\pi}{2}\right)} = 1[/tex]

Therefore,

[tex]20 \cdot \pi \cdot t = \dfrac{\pi}{2}[/tex]

[tex]t = \dfrac{\pi}{20 \cdot \pi \cdot 2} = \dfrac{1}{40} = 0.025[/tex]

The first time it is at the farthest right is t = 0.025 seconds after start

(c) [tex]\mathrm{Velocity, \ v, \ is \ given \ by \ v = \dfrac{dx(t)}{dt}}[/tex]

Therefore;

[tex]v = \dfrac{dx(t)}{dt} = \dfrac{dx(t)}{dt} \left(3 \cdot sin \left(20 \cdot \pi \cdot t \right) = 60\cdot \pi \cdot cos \left(20 \cdot \pi \cdot t \right)[/tex]

At t = 0.25 seconds, we have;

[tex]v = \dfrac{dx(t)}{dt} = 60\cdot \pi \cdot cos \left(20 \times \pi \times 0.025 \right) = 0[/tex]

The velocity of the object at the t = 0.025 seconds is v(t) = 0

(d) Acceleration, a, is given by [tex]a = \dfrac{dv(t)}{dt}[/tex]

Therefore;

[tex]a = \dfrac{dv(t)}{dt} = \dfrac{d}{dt} \left( 60\cdot \pi \cdot cos \left(20 \times \pi \times t\right) \right) =-1200 \cdot \pi ^2 \cdot sin(20 \cdot t \cdot \pi)[/tex]

a = -1200·π²·sin(20·t·π)

∴ a = -1200×π²×sin(20×0.025×π)

sin(20×0.025×π) = 1

∴ a = -1200×π²×1 ≈ -11843.53

At the time found in part b the acceleration of the object, a ≈ -11843.53 m/s²

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Which object has the least average speed?

A. object A
B. object B
C. object C
D. object D

Answers

Answer:

D

Explanation:

I could be wrong, But I'm pretty sure it's D

A car moved 40 km north and 90 km south. What is the displacement of the car?
A. 50 km south
B. 50 km north
C. 10 km east​

Answers

Answer:

A. 50 km south

Explanation:

hope this helps!

A student is given a 5.4 g mineral sample. She determines that the volume of her sample is 2 cm3. What is the density of her mineral

Answers

Answer:

6.7

Explanation:

Describe effect of artificial selection on the process of evolution

Answers

Answer: The process is called artificial selection because people (instead of nature) select which organisms get to reproduce.

Explanation: This is evolution through artificial selection and the characteristics to reproduce, causing the evolution of farm stock.

a train starting from a distance of velocity of 90 km.h
-1 in 10 minutes assuming that the acceleration is uniform find the acceleration and the distance travelled by the train for attending the velocity​

Answers

To make this problem solvable and you can get the help you need, I'll complete and arrange some data.

Answer:

Acceleration: [tex]0.0417\ m/s^2[/tex], Distance=7,500 m

Explanation:

Uniform Acceleration Motion

It's a type of motion in which the velocity of an object changes uniformly over time.

Being a the constant acceleration, vo the initial speed, vf the final speed, and t the time, the following relation applies:

[tex]v_f=v_o+at\qquad\qquad [1][/tex]

The distance traveled by the object is given by:

[tex]\displaystyle x=v_o.t+\frac{a.t^2}{2}\qquad\qquad [2][/tex]

Using the equation [1] we can solve for a:

[tex]\displaystyle a=\frac{v_f-v_o}{t}\qquad\qquad [3][/tex]

The problem will be rewritten as follows:

A train starting from rest reaches a velocity of 90 km/h in 10 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance traveled by the train for attending the velocity​.

Let's take the relevant data:

vo=0

vf=90 Km/h*1000/3600 = 25 m/s

t = 10 minutes = 10*60 = 600  seconds

Now compute the acceleration by using [3]:

[tex]\displaystyle a=\frac{25-0}{600}=0.0417[/tex]

[tex]a=0.0417\ m/s^2[/tex]

Finally, compute the distance:

[tex]\displaystyle x=0*600+\frac{0.0417\cdot 600^2}{2}[/tex]

[tex]x=7,500\ m[/tex]

Note: We used the value of the acceleration with more precision than shown.

Acceleration: [tex]\mathbf{0.0417\ m/s^2}[/tex], Distance=7,500 m

The data table shows how the amplitude of a mechanical wave varies with
the energy it carries. Analyze the data to identify the mathematical
relationship between amplitude and energy. Use your equation to find the
energy if the amplitude is 6 units.
Amplitude
Energy
1 unit
2 units
2 units
8 units
3 units
18 units
4 units
32 units

Answers

Answer:

162

Explanation:

When the amplitude of the wave is 8 units, the corresponding energy of the wave is 128 units. Therefore, option C is correct.

What do you mean by an amplitude ?

The term amplitude is defined as the maximum distance moved by a point on a vibrating body or wave calculated from its equilibrium position.

We have given,

first amplitude, A = 1, corresponding energy = 2

second amplitude, A = 2, corresponding energy = 8

The energy of a string at  a given amplitude is calculated as follows;

E ∝ A²

Energy varies as the square of the change in amplitude.

If amplitude of one has energy of two

Amplitude of 2 (double of 1)

= ( 2 x 2 ) = 4 x 2

= 8  4 times the energy at amplitude of 1.

Then for 8 units of amplitude change

8 x 8 = 64 x 2

= 128  

Thus, When the amplitude of the wave is 8 units, the corresponding energy of the wave is 128 units, option C is correct.

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Your question is incomplete, most probably your question was

The data table shows how the amplitude of a mechanical wave varies with the energy it carries. Analyze the data to identify the mathematical relationship between amplitude and energy. Use your equation to find the energy if the amplitude is 8 units.

Amplitude

1

2

3

4

energy

2

8

18

32

A.66 units

B. 108 units

C. 128 units

D. 88 units ​

what does a worm and wheel mechanism do to torque and speed​

Answers

Answer:Explanation:

Image result for what does a worm and wheel mechanism do to torque and speed​

Like other gear arrangements, a worm drive can reduce rotational speed or transmit higher torque. ... Each full 360 degree turn of a single start worm advances the gear by one tooth. For a multi start worm the gear reduction equals the number of teeth on the gear divided by the number of starts on the worm.

The average speed of a runner in an 800 meter race was 7.0 meters per second. How
long did it take the runner to complete the race?

Answers

Answer:

114.29s

Explanation:

average speed = distance/Time

Given

speed = 7m/s

distance = 800m

Required

Time taken by the runner to complete the race

From the formula:

Time = Distance/speed

Time = 800/7

Time = 114.29seconds

Hence it took the runner 114.29s to complete the race

A ball initially at rest is dropped from a window 24.3 m off the ground. How long does it take for the ball to reach the ground?

Answers

Answer:

The ball takes 2.23 seconds to reach the ground

Explanation:

Free Fall Motion

A free-falling object falls under the influence of gravity only. An object being acted upon only by the force of gravity is said to be in a state of free fall. Free-falling objects do not have air resistance.

If an object is dropped from rest in a free-falling motion, it falls with a constant acceleration called the acceleration of gravity, which value is [tex]g = 9.8 m/s^2[/tex].

The distance traveled by a dropped object is:

[tex]\displaystyle y=\frac{gt^2}{2}[/tex]

Knowing the height h from which the object was dropped, we can find the time it takes fo hit the ground:

[tex]\displaystyle t=\sqrt{\frac{2h}{g}}[/tex]

Since y=24.3 m:

[tex]\displaystyle t=\sqrt{\frac{2\cdot 24.3}{9.8}}[/tex]

t=2.23 seconds

The ball takes 2.23 seconds to reach the ground

what is the role of energy in the conversation about climate change?

Answers

Answer:

Energy plays an important role in many aspects of our lives. For example, we use electricity for lighting and cooling.

Explanation:

Answer:

engery

Explanation:

If the Mass Number is the sum of the protons and neutrons in an atom, what is
the mass number of

Answers

Answer:

It's 31

Explanation:

add 15 and 16

Other Questions
(3rd part) plz help i might mark brainlest :) 14n + p 6n = 16p solve for n please explain A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year? On the last day of the fiscal year, a co-worker asks you to cut a check for $2,000 as a miscellaneous expense for supplies in order to complete a project for a VIP customer today. You notice the invoice looks a little different from other invoices that are usually processed. You know that by preparing the closing entries tomorrow, the miscellaneous expense will be set to zero for the beginning of the year. Should you write this check today and record the expense or write the check tomorrow? How would the company be affected if the check is written and the invoice ends up being erroneous? In science, which of the following best describes the scientific termtheory? * A) An educated guessB) An idea with lots of evidence to support itC) possible idea that needs more evidence to be real scienceD) An undisputed law that will not change. PLEASE ANSWER!!!!!!! 1. Write an analysis of the report, making sure to identify each factor that probably playeda role in causing the collision and the injuries2. Describe how the injuries could have been prevented.-INJURY REPORT-Injuries occurred outdoors on the school campus as a result of a collision between a studenton a bicycle and a student on a skateboard. The students were riding at excessive speedsalong a pedestrian-only sidewalk - one on the north side of the building and one on the westside. The collision occurred at the northwest corner of the building. The student on the bicyclesuffered a sprained ankle and serious cuts to his head. He was transported to the emergencyroom for assessment of head trauma. The student on the skateboard suffered serious cuts tohis left leg and scrapes to his left elbow. He was also taken to the hospital for stitches to repairhis leg wounds. Neither student was wearing a helmet or other protective gear. (6 points) 2. The Length of a rectangle is (x+5) and the areax+7x+10. What is the width ? 52-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third piece is two inches more than seven times the length of the first piece. Find the lengths of the pieces. The lengths of the first, the second, and the third pieces are in, in, and in respectively. The length of a rectangle is three times longer than its width. The perimeter of the rectangle is 16 feet. If x represents the width of the rectangle in feet, which equation can be used to find its value? 3x + x = 16 (3x)(x) = 16 3x + 3x + x + x = 16 3x + 3x + x = 16 Farmer Owens has an apple orchard that must be pollinated by bees in order to bear fruit. Farmer Owens's neighbor, Maude, owns beehives with bees that can pollinate the apple trees. Suppose the benefit of the bees to Farmer Owens is $5,000 per year. Suppose the bees provide no benefit to Maude but she must pay $3,000 per year to maintain the hives. If Farmer Owens and Maude engage in Coasebargaining, what would likely result?A. Farmer Owens would pay Maude between $3,000 and $5,000 to maintain the hives.B. Maude would pay Farmer Owens between $3,000 and $5,000 to maintain the hives.C. Farmer Owens would pay Maude between $0 and $5,000 to maintain the hives.D. Farmer Owens would pay Maude at least $5,000 to maintain the hives.E. Farmer Owens would not be willing to pay Maude an amount such that she would maintain the hives. If $a$ is the $x$-intercept, $b$ is the $y$-intercept, and $m$ is the slope of the line with equation $\frac{x}4 + \frac{y}{12} = 1$, then what is the value of $a + b + m$? Dolphins have suffered from the carelessness of humans. Many dolphins are killed each year in fishing nets. Oil has been spilled into ocean water, polluting the dolphins' environment. The author's viewpoint is:A)The author's favorite animals are dolphins.B)The author thinks that humans harm dolphins.C)The author thinks that humans are helping dolphins.D)The author thinks that dolphins are dangerous. 5,049 +48=105MD Model with Mathematics A comic store sells two rarecomic books for $1,824. The price of one comic book is11 times as much as the price of the other. 'Write an equation to model the price of the less expensivecomic book. Then find the price. Write an equation to model the price of the more expensivecomic book. Then find the price. help me plzzz i don't know what to put HELP MEEEEE PLEASEEE ASAPPPPPhow can a small change in energy use make a significant difference in CO2 emissions Jane has 8 pencils and 10 erasers. What is the ratio of erasers to pencils? definition of reliability. will give brainliest! which of the following uses technical and artistic skills to create visual products that communicate information to an audience? computer engineer typography computer animator graphic designer The East River High School math teachers are buying ice cream cones for all of the algebra students. Dairy Queen charges a one time fee of $15 to deliver the treats to the school and each cone cost $2. Write an equation in y=mx+b form (NO SPACES) that can be used to find the total cost of ice cream cones for ERHS students. 3, Find the total price of a a video game that costs $60.00 with a 7% tax-Enter the number only. Round to the nearest cent.