12. A sprinter has an acceleration of 5m/s” during the first 2 seconds of the race. What
velocity does she reach after this time?

Answers

Answer 1

Answer:

v=10m/s

Explanation:

[tex]a=\frac{vf-vi}{t}\\ 5m/s^{2}=\frac{vf-0}{2}\\ vf=5*2\\vf=10 m/s[/tex]


Related Questions

Describe a sound wave. Discuss what determines pitch and volume.

Answers

Answer:

The amplitude of a sound wave is a reflection of how much energy is carried, which contributes to the intensity of the sound. Intensity is measured in decibels and is perceived as sound volume. Thus, the volume is proportional to the amplitude of the sound wave. The frequency of a sound wave is perceived as pitch.

Explanation:

The amount of energy carried by a sound wave is reflected in its amplitude, which affects the sound's intensity. The perception of intensity as sound loudness is expressed in decibels. Hence, the relationship between the volume and the sound wave's amplitude is clear. Pitch is the perceived frequency of a sound wave.

What is wave ?

Wave is is a disturbance in a medium that carries energy as well as momentum . wave is characterized by amplitude, wavelength and phase. Amplitude is the greatest distance that the particles are vibrating. especially a sound or radio wave, moves up and down. Amplitude is a measure of loudness of a sound wave. More amplitude means more loud is the sound wave.

Wavelength is the distance between two points on the wave which are in same phase.

Phase is the position of a wave at a point at time t on a waveform.

There are two types of the wave longitudinal wave and transverse wave.

Longitudinal wave : in which, vibration of the medium (particle) is parallel to propagation of the wave. Sound wave is a longitudinal wave.

Transverse wave : in which, vibration of the medium (particle) is perpendicular to propagation of the wave. Light wave is a Transverse wave.

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light of wavelength 587.5 nm illuminates a slit of width 0.75 mm. at what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.85 mm from the central maximum?

Answers

1.085m

Explanation:

Using

a= lambda/sinစ

Sinစ= (587.5*10^-9) x 0.75*10^-3

= 0.000783

Sinစ=0.875*10^-3/d

0.000783= 0.875/d

d= 1.085m

A sinusoidal transverse wave travels along a long, stretched string. The amplitude of this wave is 0.0957 m, its frequency is 3.75 Hz, and its wavelength is 1.97 m. What is the shortest transverse distance between a maximum and a minimum of the wave?

Answers

Answer:

Shortest distance = 0.1914 m

Explanation:

Given that,

Amplitude of the wave is 0.0957 m

Frequency of the wave is 3.75 Hz

Wavelength of the wave is 1.97 m

We need to find the shortest transverse distance between a maximum and a minimum of the wave.

The distance between maximum point in positive axis and the baseline is equal to amplitude.

Shortest distance = 2 A

D = 2 × 0.0957

D = 0.1914 m

So, the shortest transverse distance between a maximum and a minimum of the wave is 0.1914 m.

A stone is thrown directly upward with an initial speed of 4 m/s from a height of 20 m. After what time interval does the stone strike the ground

Answers

Given :

( Let , take upward direction +ve and downward direction -ve )

Initial speed of stone , u = 4 m/s .

Height , h = 20 m .

To Find : Time taken to reach ground .

Solution :

We know , by equation of motion .

Displacement is given by :

[tex]h=h_o+ut+\dfrac{gt^2}{2}\\\\0=20+4t-2t^2\\\\t^2-2t-10=0[/tex]  ( Here , g = acceleration due to gravity = [tex]-9.8\ m/s^2[/tex] .)

Solving above equation , we get :

t = 4.32 s .

Hence , this is the required solution .

A string with both ends held fixed is vibrating in its third harmonic. The waves have a speed of 193 m/s and a frequency of 235 Hz . The amplitude of the standing wave at an antinode is 0.380 cm.
A) Calculate the amplitude at a point on the string a distance of 18.0 cm from the left-hand end of the string.
B) How much time does it take the string to go from its largest upward displacement to its largest downward displacement at this point?
C) Calculate the maximum transverse velocity of the string at this point.
D) Calculate the maximum transverse acceleration of the string at this point.

Answers

Answer:

A. We know that amplitude at x is

Asin (kx)

But k= 2πf/v

k= 2*3.132*235/193= 7.65

So A = 0.35*sin( 7.65x 0.18)= 0.00841m

C

Vmax = Amplitude x angular velocity

= 0.0084 x 2πf

= 0.0084* 2*3.142* 235= 12.4m/s

D. Maximum acceleration = omega² x Amplitude

= (2πf)²* 0.00841= 183.40m/s²

Which of the following does a microscope use to produce an image?
a) reflection
b) refraction
c) total internal reflection
d) two of A, B, and C
e) all of A, B, and C​

Answers

Answer:

All of a,b, and c hope this helps

In a liquid with a density of 1400 kg/m3, longitudinal waves with a frequency of 390 Hz are found to have a wavelength of 7.60 m. Calculate the bulk modulus of the liquid. Express your answer in pascals.

Answers

Answer:

The bulk modulus of the liquid is 1.229 x 10¹⁰ Pa

Explanation:

Given;

density of liquid, ρ = 1400 kg/m³

frequency of the wave, f = 390 Hz

wavelength, λ = 7.60 m

The speed of the sound is given by;

v = fλ

v = 390 x 7.6

v = 2964 m/s

The bulk modulus of the liquid is given by;

[tex]v = \sqrt{\frac{B}{\rho}}\\\\v^2 = \frac{B}{\rho}\\\\B = \rho v^2[/tex]

where;

B is bulk modulus

B = (1400)(2964)²

B = 1.229 x 10¹⁰ N/m²

B = 1.229 x 10¹⁰ Pa

Therefore, the bulk modulus of the liquid is 1.229 x 10¹⁰ Pa

Speedy Sue, driving at 35.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 160 m ahead traveling at 5.20 m/s. Sue applies her brakes but can accelerate only at −1.90 m/s2 because the road is wet. Will there be a collision?

Answers

Answer:

Hence, there will be a collision

Explanation:

First we calculate total distance covered by the speedy sue's car before coming to rest:

2as = Vf² - Vi²

where,

a = deceleration = - 1.9 m/s²

s = distance covered = ?

Vf = Final Velocity = 0 m/s (since car finally stops)

Vi = Initial Velocity = 35 m/s

Therefore,

2(-1.9 m/s²)s = (0 m/s)² - (35 m/s)²

s = 322.37 m

Now, we calculate time taken by car to stop:

Vf = Vi + at

0 m/s = 35 m/s + (-1.9 m/s²)t

t =  18.42 s

Now, we calculate distance traveled by van in this time:

s₁ = V₁t

where,

s₁ = distance traveled by van = ?

V₁ = speed of van = 5.2 m/s

Therefore,

s₁ = (5.2 m/s)(18.42 s)

s₁ = 95.78 m

Now, for collision to occur, the following relation must be satisfied:

s ≥ 160 m + s₁

using values:

322.37 m > 160 m + 95.78 m

322.37 m > 255.78 m

Hence, there will be a collision

for an ideal gas, a plot of In P versus 1 / T (in Kelvin) yields a straight line with a slope equal to

Answers

google says −ΔHvap/R lol

A bat emits a sound at a frequency of 30.0 kHz as it approaches a wall. The bat detects a beat frequency of 700 Hz. The speed of the bat is closest to

Answers

Answer:

3.948m/s

Explanation:

To solve this we need to apply Doppler effect theory

So

To find the frequency received by insect will be gotten when the Source and observer both are moving in same direction which is given by

f1 = f0 x (V - Vo)/(V - Vs)

f0 = 30.0 kHz

V = 344 m/s

Vs will now be the speed of the bat and

Vo will be the speed of the object which is = 0 m/s

So substituting we have

f1 = 30 x 10^3 x (344- 0)/(344- Vs)

Next to find the frequency reflected by wall we use

f2 = f1 x (V + Vs)/(V + Vo)

So substituting the value of f1 calculated above we have

f2 = 30 x 10^3 x (344 + Vs) x (344 - 0)/[(344 - Vs) x (344 + 0)]

f2 = 30 x 10^3 x (344 + Vs)/(344- Vs)

But the beat frequency detected by bat is 700 Hz,

So we say

f2 - f0 = 700 Hz

30 x 10^3 x (344+ Vs)/(344 - Vs) - 30x 10^3 = 700

(344 + Vs)/(344 - Vs) = 1 + 700/30000 = 1.023

344 + Vs = 344 x 1.023 - Vs x 1.0233

Vs = 344 x ( 1.023 - 1)/(1 + 1.023)

So finally

Vs = Speed of source that is the bat is = 3.949m/s

A rough value of deceleration of a skidding automobile is about 7.0m\s^2.using this how long does it take for a car going at 30m\s to stop after the skid starts.How far dose the car go in this time??​

Answers

Explanation:

Given:

v₀ = 30 m/s

v = 0 m/s

a = -7.0 m/s²

Find: t and Δx

v = at + v₀

0 m/s = (-7.0 m/s²) t + 30 m/s

t = 4.3 seconds

v² = v₀² + 2aΔx

(0 m/s)² = (30 m/s)² + 2 (-7.0 m/s²) Δx

Δx = 64 meters

URGENT!!! Which option(s) correctly define an electric circuit? (Select all that apply) a set-up where current flows without a voltage difference an open path of conductors a set-up where current flows due to a voltage difference a closed path of conductors

Answers

Answer:

a set up where current flows without a voltage difference

Explanation:

because a circuit is a set up of different components, and throughout the circuit the voltage is the same, even with more components

Answer:

a set-up where current flows due to a voltage difference

a closed path of conductors

Explanation:

We can model the human back as a pivoted rod?

Answers

Answer:

So the answer is yes, we can the back be shaped like a spinning rod

spinal column that is approximated by a long and narrow rod,

Explanation:

The bone system of the body is very well modeled in physics, the back has a spinal column that is approximated by a long and narrow rod, this rod is fixed in the lower part to the coccyx and has a weight in the upper part (head), this rod has longitudinal vertical movement and twisting movement around the lower part of the bar.

So the answer is yes, we can the back be shaped like a spinning rod

You throw a 20-N rock vertically into the air from ground level. You observe that when it is a height 14.8m above the ground, it is traveling at a speed of 25.0 m/s upward.
A) Use the work-energy theorem to find its speed just as it left the ground. What is it?
B) Use the work-energy theorem to find its maximum height. What is it?

Answers

Answer:

30.25 m/s

46.68 m

Explanation:

Work Energy theorem states that

W = ½mv2² - ½mv1²

W = ½m(v2² - v1²)

Net work done by the force = -mgd

Net work done = -m * 9.8 * 14.8

Net work done = -145m

Using the work energy theorem

-145m = ½m(v2² - v1²)

-145m = ½ * m(25² - v1²)

-290m = 625m - v1²m

v1² = 625 + 290

v1² = 915

v1 = √915 = 30.25 m/s

B

-mgd = ½m(v2² - v1²), where v2 = 0, so

-mgd = ½mv1²

Making d the subject of the formula, we have

d = -½mv1²/mg

d = v1²/2g

d = 915/ 2 * 9.8

d = 915 / 19.6

d = 46.68 m

Jennifer has taught her pet rat to run a maze. She thinks that the rat will
go faster if she puts its favorite treat at the end. She has the rat run the
maze ten times with the favorite treat and ten times with a regular food
pellet. She uses a stopwatch to measure how long it takes for the rat to get
to the reward.
O Replication
O Repetition

Answers

your answer would be i think repetition

You're driving on a straight road (in the x direction) at a constant speed of 28 m/s. In 10 seconds, you speed up to 37 m/s to pass a truck. (a) Assuming your car speeds up at a constant rate (constant force by the road on the tires), what is your average x component of velocity vavg,x during this maneuver

Answers

Answer:

The average [tex]x[/tex] component velocity [tex]V_{avg,x}[/tex] is 32.5 m/s

Explanation:

v = u +at bhjklj kj h

x = (u + v / 2 )t

Average velocity is given by

[tex]V_{avg} = \frac{Displacement}{Time} \\V_{avg} = \frac{x_{2} - x_{1} }{t_{2} - t_{1} }[/tex]

From the question,

Initial speed, u = 28 m/s

Final speed, v = 37 m/s

Time, t = 10 secs

From the formula

[tex]x = (\frac{u + v}{2})t\\[/tex]

where [tex]x[/tex] is the displacement

Put the given values into the equation to find the displacement [tex]x[/tex]

[tex]x = (\frac{28 + 37}{2}) 10\\ x = (\frac{65}{2})10\\ x = (\frac{32.5}{10})\\ x = 325 m[/tex]

Now, for the average [tex]x[/tex] component velocity [tex]V_{avg,x}[/tex]

[tex]V_{avg} = \frac{Displacement}{Time} \\V_{avg} = \frac{x_{2} - x_{1} }{t_{2} - t_{1} }[/tex]

[tex]V_{avg,x} = \frac{325 - 0}{10 - 0}\\V_{avg,x} = \frac{325}{10}\\ V_{avg,x} = 32.5 m/s[/tex]

Hence, the average [tex]x[/tex] component velocity [tex]V_{avg,x}[/tex] is 32.5 m/s

The average x component of velocity during the maneuver of the truck is 32.5 m/s.

Velocity:

The term velocity of any object is defined as the ratio of displacement covered by any object to the time taken by the object to displace.

Given data:

The magnitude of initial speed is, u = 28 m/s.

The magnitude of final speed is, v = 37 m/s.

The time interval is, t = 10 s.

The displacement covered by the truck is calculated as,

[tex]d = \dfrac{v+u}{2} \times t\\\\ d = \dfrac{37+28}{2} \times 10\\\\ d = 325 \;\rm m[/tex]

Now, the expression for the x-component of the average velocity is given as,

[tex]v_{x}=\dfrac{d}{t}[/tex]

Solving as,

[tex]v_{x}=\dfrac{325}{10}\\\\ v_{x}=32.5 \;\rm m/s[/tex]

Thus, we can conclude that the average x component of velocity during the maneuver of truck is 32.5 m/s.

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What is (Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q3

Answers

This question is incomplete, the complete question is;

Coulomb's law for the magnitude of the force F between two particles with charges Q and Q' separated by a distance d is

|FI = |QQ'I / d²

where K = 1/4π∈0, and

∈0 = 8.854 × 10⁻¹² C²/(N.m²) is the permittivity of free space.

Consider two point charges located on the x-axis:

one charge, q₁ = -18.5 nC, is located at

x₁ = -1.715m; the charge q₂ = 30.5 nC, is at the origin ( x₂=0 )

What is (Fnet3)x, the x-component of the net force exerted by these two charges on a third charge q₃ = 51.0 nC placed between q₁ and q₂ at x₃ = -1.085 m ?

Answer: (Fnet3)x = -3.3287 × 10⁻⁵ N

Explanation:

Given that;

Q₁ = -18.5 nC       Q₃ = 51 nC        Q₂ = 30.5 nC

x₁ = - 1.715m         x₃ = - 1.085m     x₂ = 0

Now

x - component of Net force on charge Q₃ is

(Fnet3)x = -K|Q₁I|Q₃I / r₁3² - -K|Q₂I|Q₃I / r₂3²

(Fnet3)x = -(9×10⁹)(51×10⁻⁹) [ 18.5 / ((-1.085 + 1.715)²) + (30.5 / (-1.085)² ] × 10⁻⁹

(Fnet3)x = -3.3287 × 10⁻⁵ N

In the drawing, what is the vector sum of forces A→+B→+C→ if each grid square is 7.00 N on a side? If the resultant is eastward, enter a positive value and if the resultant is westward, enter a negative value.

Answers

Answer:

resultant force = 14 N  ( East direction)

Explanation:

A =   √( (4*7)² + (4*7)² )

A = 39.6 N

B = 4 * 7

B = 28 N

C = 2 * 7

C = 14 N

∑ y forces = Ay - B = (4*7) - 28 = 0

∑ x forces = Ax - C = (4*7) - 14 = 14 N

so the resultant force = 14 N  ( East direction)

g The velocity (V) of a particle is given by 5t2 meters, where t is in s. Find the acceleration of the particle at t=3s.

Answers

Answer:

Acceleration, [tex]a=45\ m/s^2[/tex]

Explanation:

The velocity of a particle is given by :

[tex]V=5t^2[/tex]

t is time in seconds

The acceleration in terms of velocity is given by :

[tex]a=\dfrac{dv}{dt}\\\\a=\dfrac{d(5t^2)}{dt}\\\\a=5\times \dfrac{t^3}{3}[/tex]

We need to find the acceleration of the particle at t = 3 s. Put t = 3 s in the expression of a.

So,

[tex]a=\dfrac{5\times 3^3}{3}\\\\a=45\ m/s^2[/tex]

So, the acceleration of the particle at t = 3 s is [tex]45\ m/s^2[/tex].

After crossing the finish line, a race car slows down from 47 m/s to 32m/s in 3seconds. What is the car’s acceleration?

Answers

Answer: -5 m/s^2

Explanation: a = v - u/t

                         = 32 - 47/3

                         = -15/3

                         = -5 m/s^2

what was the average speed in km/h of a car that travels 490.0 km in 4.2 h?

Answers

Answer:

116.67 km/h

Explanation:

avarge speed = total distance / total time

Answer: 490 / 4.2 = 116.67 km/h

A train which is traveling at 73mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreased velocity is observed to be 56mi/hr as it passes a point 1/2mi beyond A. A car moving at 45mi/hr passes point B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas." Calculate the constant acceleration a that the car must have in order to beat the train to the crossing by 3.9sec and find the velocity v of the car as it reaches the crossing.

Answers

Answer:

First to find deceleration of the train we use

v²= u²+ 2as

56²= 73²+ 2(0.5)a

a= -2193mi/hr²

Then we find time in which the train does the intersection

Using

S= ut+ 1/2 at²

1= 73t-1/2(1293)t²

t =68.5s

But since the train is to intersect in 3.9s the time will be the difference which is

65.68s

So finding acceleration

S= ut + 1/2at²

1.3mi= 45/3600mi/s(65.58s)+ 1/2a(65.5)²

So a= 1.179ft/s²

To find velocity we use

V= u + at

= 45/3600mi/s + (-2.33E-4mis²)(65.58s)

V= 0.0271mi/s

= 97.6ft/s

Timmy drove 2/5 of a journey at an average speed of 20 mph.
He drove the remaining 60 miles at another speed. If the
average speed for the whole journey was 25 mph, what's the
amount of time for the whole journey?

Answers

Answer:

4hr

Explanation:

The total time Timmy spent in the whole journey is 4 hours.

The given parameters;

average speed of Timmy for [tex]\frac{2}{5}[/tex] of the journey = 20 mphthe remaining fraction of the journey = 60 milesaverage speed of the entire journey = 25 mph

The total distance of the journey is calculated as follows;

[tex]( 1 - \frac{2}{5} ) \times total = 60 \ miles\\\\\frac{3}{5} \times total = 60\\\\total = \frac{60 \times 5}{3} \\\\total = 100 \ miles[/tex]

The amount of time for the whole journey is calculated as follows;

[tex]average \ speed = \frac{total \ distance}{total \ time} \\\\total \ time = \frac{100 \ miles }{25 \ mph} \\\\total \ time = 4 \ hours[/tex]

Thus, the total time Timmy spent in the whole journey is 4 hours.

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Explain in your own words the interaction between the electric and magnetic fields that make up a light wave.

Answers

Answer:

They oscillates perpendicularly to one another, the oscillation of one field generates the other field.

Explanation:

In a light wave, an oscillating electric field of a light wave produces a magnetic field, and the magnetic field also oscillates to produce an electric field. The magnetic field and the electric field of a light wave both oscillates perpendicularly to one another. The resultant energy and direction of the wave generated as a result of these oscillating fields is propagated perpendicularly to both fields.

similarity of gravity and electromagnetic force

Answers

Answer:

Gravity is an attractive force as well as electromagnetic, but electromagnetic attracts and repels.

Explanation:

What does CWT stand for?

Answers

hundredweight cwt is a standard unit of weight or mass used in certain commodities trading contracts.

Answer:

hundredweight

Explanation:

Which of the following statements are true according to the uncertainty principle? A. It is impossible to simultaneously determine both the energy and the momentum of a particle with arbitrary accuracy. B. It is impossible to determine a particle's energy with arbitrary accuracy in a finite amount of time. C. It is impossible to simultaneously determine both the position and the momentum of a particle with arbitrary accuracy. D. It is impossible to measure the position of a particle with arbitrary accuracy in a finite amount of time. E. It is impossible to simultaneously measure both the energy and position of a particle with arbitrary accuracy.

Answers

Answer and Explanation: Heisenberg's Uncertainty Principle states that if the position of the particle is known, its momentum is unknown and vice-versa.

So, it is impossible to determine both the position and the momentum of a particle with arbitrary accuracy.

The statement, " It is impossible to simultaneously determine both the position and the momentum of a particle with arbitrary accuracy" is correct. Hence, option (c) is correct.

The given problem is based on the Heisenberg's uncertainty principle. As per the Heisenberg's uncertainty principle, "It is not possible to obtain both the momentum and position of particles at same time, if one is obtained with full certainty then other comes uncertain". And the expression for the Heisenberg's principle is,

[tex]\Delta x \times \Delta p \geq \dfrac{h}{4\pi}[/tex]

Here,

[tex]\Delta x[/tex] is the uncertainty in position.

[tex]\Delta p[/tex]  is the uncertainty in momentum.

h is the Planck's constant.

So, as per the above definition the statement, " It is impossible to simultaneously determine both the position and the momentum of a particle with arbitrary accuracy" is justified.

Thus, we can conclude that the statement, " It is impossible to simultaneously determine both the position and the momentum of a particle with arbitrary accuracy" is correct. Hence, option (c) is correct.

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What is the variable that is manipulated by the experimenter during an experiment called

Answers

independent variable
The independent variable is the variable that is controlled and manipulated by the experimenter. For example, in an experiment on the impact of sleep deprivation on test performance, sleep deprivation would be the independent variable.

How could you record the number 4000 and report 2 significant figures?

Answers

Explanation:

Write in scientific notation.

4000 = 4.0×10³

34. JAnswer this: Pure (24 carat) gold has a density of 19 g/mL. If you bought"gold" ring and found it had a volume of 0.3 ml and that it weighed 5.7 grams, is it pure gold? Show your work to support your answer.​

Answers

Explanation:

Density = mass / volume

ρ = 5.7 g / 0.3 mL

ρ = 19 g/mL

Yes, it's pure gold.

Yes, it's pure gold.

How do you calculate gold density?The mass of an object divided by its volume is the formula for determining density. This is expressed mathematically as d = m/v, where d denotes density, m denotes mass, and v denotes object volume. The common measurements are kg/m³.

What is the formula of volume?The basic formula for volume is length, breadth, and height, as opposed to length, width, and height for the area of a rectangular shape.

What is the volume of pure gold?Gold has a specific gravity of 19.3. In light of this, 19.3 grams take up 1 cubic centimeter. 31.1 grams make up a Troy ounce. As a result, we need 31.1/19.3 = 1.61 cubic centimeters to equal 1 Troy Oz.

According to the question:

Density = mass / volume.

ρ = 5.7 g / 0.3 mL.

ρ = 19 g/mL.

Hence, Yes it's pure gold.

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The flight path of a jet aircraft as it takes off is defined by the parmetric equations x=1.25 t2 and y=0.03 t3, where t is the time after take-off, measured in seconds, and x and y are given in meters. If the plane starts to level off at t = 40 s, determine at this instant:a. The horizontal distance it is from the airport b. Its altitudec. Its speed. 17) Eli packed 1,920 peanuts into 8 sacks. He packed an equal number of peanuts in each sack. How many peanuts did he pack into each sack? Question 3 of 10Epidemiologists would NOT study W.W. Grainger, Inc. is one of the world's largest largest business-to-business distributors of equipment, component parts, and supplies in the united states and Canada. It has ownership title to over 220,000 products, which are stocked in one national and nine regional warehouses to gurantee product availability and quick service to the many manufacturers who are its customers. W.W. Grainger is an example of a(n):_________.a. agent or brokerb. merchant wholesalerc. retailerd. consumer markete. hypermarket intermediary what do all atoms of any single element have in common Jaime flipped a coin 20 times, and it landed on heads 15 out of the 20 times. Which would be the BEST way for Jaime to change his experiment so that his experimental probability of the coin landing on heads is closer to the theoretical probability? why was labor a problem for the southern colonies?Who ever gets this right will get cash app $5 from me so drop your cash app after you answer. Which 3 letters are not used very often at the beginning of a word in Spanish? 1. What role did leadership play in the rise and fall of the West African Kingdoms? Convert 325 mililiters to liters A group of 8 children and 8 adults are going to a movie. Child tickets cost $2, and adult tickets cost $6. How much will the movie tickets cost in all? ANSWER PLEASE LOTS LOTS OF POINTS. "A bug repellant is sprayed on one arm the other arm is not sprayed. The number of bug bites is recorded after 2 hours." What is the dependent variable? Number of bug bites 2 hours Bug spray/no bug spray Determine which of the following are the solutions to the equation below. Points A, P, and B are collinear on AB, and PB:AB = 2/7. A is located on the origin (0,0), P is located at (10, -5), and B is located at (x, y). Which axis is closer to B, the x-axis or the y-axis? Justify your answer. I don't know how to show the work. Part BWrite an expression that represents the net change in Rylee's bank account balance after paying for fuel at the gas station. if h(x)=5+c and k(h)=1/x, which expression is equivalent to (kh)(x) a. (5+x)/x b.1/(5+x) c. 5+(1/x) d. 5+(5+x) What is the area of the composite figure?4 inO (877 + 6) in.2(817 + 12) in 2(877 + 18) in 2(81T + 24) in 23 in Read and select the correct answer. Frank is from Atlanta and Maria Tuberto Barbero is from Ciudad de Mxico. They became pen pals and communicate by phone because they love to talk in addition to communicate through emails. Based on what you learned, how would Frank dial Maria's phone numbers when he talks to her? What is Identity? What words or indicators would you use to tell someone who you are? 6. What actions did the Hongwu Emperor (ruled 136898) take to gain,consolidate, and maintain power ?