A car has uniformly accelerated from rest to a speed of 25m/s after traveling 75m. What is its acceleration in m/s^2

Answers

Answer 1
So there is two truths given. After an amount of time Ttotal (lets call it ‘t’): The car’s speed is 25m/s The distance travelled is 75m Then we have the formulas for speed and distance: v = a x t -> 25 = a x t s = 0.5 x a x t^2 -> 75 = 0.5 x a x t^2 Now, we know that both acceleration and time equal for both truths. So we can say: t = 25 / a t^2 = 75 / (0.5 x a) = 150 / a Since we don’t want to use square root at 2) we go squared for 1): t^2 = (25 / a) ^2 = 625 / a^2 t^2 = 150 / a Since t has the same value for both truths we can say: 625 / a^2 = 150 / a Thus multiply both sides with a^2: 625 = 150 x a, so a = 625 / 150 = 4.17 We can now calculate t as well t = 25 * 150 / 625 = 6

Related Questions

how fast is a ball rolling if it contains 98 J of kinetic energy and had a mass of 4 kg

Answers

The speed of the rolling ball having a kinetic energy of 98J and a mass of 4kg is 7m/s.

How fast was the ball rolling?

Kinetic energy is simply the energy a body possesses due to its motion;

It is expressed as;

K.E = 1/2 × m × v²

Where m is mass and v is the velocity of the body.

Given the data in the question;

Kinetic energy K.E = 98J = 98kgm²/s² Mass of the ball m = 4kgSpeed v = ?

Plug the given values into the Kinetic energy formular and solve for v.

K.E = 1/2 × m × v²

98kgm²/s²  = 1/2 × 4kg × v²

98kgm²/s²  = 2kg × v²

v² = 98kgm²/s² / 2kg

v² = 49kgm²/s²

v = √( 49kgm²/s² )

v = 7m/s

Therefore, the speed of the ball is 7 meters per second.

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a child is stationary on a swing. The child is given a push by a parent and the child starts swinging

Answers

Answer:

you havent given the full question

but im guessing momentum

momentum is the quantity of motion of a moving body, measured as a product of its mass and velocity or the impetus gained by a moving object.

Explanation:

as the child is pushed, it gathers momentum as its weight allows it be pushed forward, and the velocity is the speed driven by the amount of force the parent pushes on the child whilst they are swinging. The momentum is the result of this action

the equation that links these factors together are

p = mv

p = momentum

m = mass

v = velocity

hope i got it right ._.

Select the correct answer.
The motion of a car on a position-time graph is represented with a horizontal line. What does this indicate about the car's motion?
А.
It's not moving
B.
It's moving at a constant speed.
It's moving at a constant velocity
D. It's speeding up.

Answers

Answer:

a

Explanation:

Answer:

its a because its the only thing not moving

Explanation:

A 77.0 kg woman slides down a
42.6 m long waterslide inclined at
42.3º. At the bottom, she is
moving 20.3 m/s. How much work
did friction do on the woman?
(Unit = J)
(Hint: Her starting height is NOT 42.6 m.)

Answers

Assuming the woman starts at rest, she descends the slide with acceleration a such that

(20.3 m/s)² = 2 a (42.6 m)   →   a ≈ 4.84 m/s²

which points parallel to the slide.

The only forces acting on her, parallel to the slide, are

• the parallel component of her weight, w (//)

• friction, f, opposing her descent and pointing up the slide

Take the downward sliding direction to be positive. By Newton's second law, the net force in the parallel direction acting on the woman is

F (//) = w (//) - f = ma

where m = 77.0 kg is the woman's mass.

Solve for f :

mg sin(42.3°) - f = ma

f = m (g sin(42.3°) - a)

f = (77.0 kg) ((9.80 m/s²) sin(42.3°) - 4.84 m/s²) ≈ 135 N

Compute the work W done by friction: multiply the magnitude of the friction by the length of the slide.

W = (135 N) (42.6 m) ≈ 5770 N•m = 5770 J

Answer:

-5770 J

Explanation:

look above this lol

what is the wavelength of this wave?
4cm
7cm
8cm
14 cm

what is the amplitude of this wave?
4cm
7cm
8cm
14cm

what is the wavelength of this wave? 4cm 7cm8cm14 cmwhat is the amplitude of this wave? 4cm7cm8cm14cm

Answers

The wavelength of the given transverse wave is 8 cm and the amplitude is approximately 14 cm.

What is wavelength ?

Wavelength of a transverse wave is the distance between two consecutive crests or troughs of the wave. Wavelength of a wave is inversely proportional to the  frequency and energy  of the wave.

The amplitude of a transverse wave is the distance from the base line to the top of the crest or to the bottom of the trough.It is directly proportional to the frequency of the wave.

For the given wave, the wavelength is 8 cm and the amplitude that is , the distance to the base line to the top of the peak is 14 cm.

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what happens to denstity of air as altitude decreases

I WILL GIVE BRAINLIEST

Answers

wasssssupp okay so i believe that i don’t know i’m sorry

A 58-kg boy swings a baseball bat, which causes a 0.140-kg baseball to move toward 3rd base with a velocity of 38.0 m/s.
Calculate the kinetic energy of the baseball (rounding your answer to the integer).

Answers

Answer:

101 J

Explanation:

Answer:

\(\boxed {\boxed {\sf 101 \ Joules}}\)

Explanation:

Kinetic energy can be found using the following formula:

\(KE=\frac{1}{2}mv^2\)

The mass of the baseball is 0.140 kilograms and the velocity is 38.0 meters per second.

\(m= 0.140 \ kg \\v= 38.0 \ m/s\)

Substitute the values into the formula.

\(KE=\frac{1}{2} [0.140 \ kg][(38.0 \ m/s)^2]\)

First, evaluate the exponent.

(38.0 m/s)²= 38.0 m/s * 38.0 m/s = 1444 m²/s²

\(KE=\frac{1}{2}(0.140 \ kg)(1444 \ m^2/s^2)\)

Multiply the two numbers in parentheses together.

\(KE=\frac{1}{2}(202.16 \ kg*m^2/s^2)\)

Multiply the fraction by the number, or divide the number by 2.

\(KE=101.08 \ kg*m^2/s^2\)

Round to the nearest whole number. The 0 in the tenth place tells us we can leave the number as is.

\(KE\approx 101 \ kg*m^2/s^2\)

1 kg*m²/s² is equal to 1 Joule. Therefore, our answer of 101 kg*m²/s² is equal to 101 Joules (J).

\(KE\approx 101 \ J\)

The kinetic energy of the baseball is about 101 Joules.

find the position and velocity of a particle at t = 2.04 s if the particle is initially moving east at a speed of 21.4 m/s and experiences an acceleration of magnitude 3.88 m/s2, directed west.

Answers

The velocity of the particle at t = 2.04 s is 13.4848 m/s to the east.

What is the equation of motion?

Equations of motion are equations that describe a physical system's behavior in terms of its motion as a function of time. Equations of motion, The three equations of the motion are,

v - u = at

S = ut + 0.5(at²)

v² - u² = 2as

where

S is the distance,

u is the initial velocity,

v is the final velocity,

t is the time,

a is the acceleration.

To find the position and velocity of a particle at a specific time, we can use kinematic equations.

Given:

Initial velocity (v0) = 21.4 m/s (east)

Acceleration (a) = -3.88 m/s^2 (west)

Time (t) = 2.04 s

We can use the following equations of motion:

Position:

x = x0 + v0t + (1/2)at^2

Velocity:

v = v0 + at

First, let's calculate the position (x):

x = 0 + (21.4)(2.04) + (1/2)(-3.88)(2.04)^2

x = 43.6176 - 7.9552

x = 35.6624 m (east)

So, the position of the particle at t = 2.04 s is 35.6624 m to the east.

Now, let's calculate the velocity (v):

v = 21.4 + (-3.88)(2.04)

v = 21.4 - 7.9152

v = 13.4848 m/s (east)

Therefore, the velocity of the particle at t = 2.04 s is 13.4848 m/s to the east.

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A sample of an unknown substance has a mass of 0. 158 kg. If 2,510. 0 J of heat is required to heat the substance from 32. 0°C to 61. 0°C, what is the specific heat of the substance? Use q equals m C subscript p Delta T. 0. 171 J/(gi°C) 0. 548 J/(gi°C) 15. 9 J/(gi°C) 86. 6 J/(gi°C).

Answers

The specific heat of the unknown substance with a mass of 0.158kg is 0.5478 J/g°C

HOW TO CALCULATE SPECIFIC HEAT CAPACITY:

The specific heat capacity of a substance can be calculated using the following formula:

Q = m × c × ∆T

Where;

Q = quantity of heat absorbed (J)c = specific heat capacity (4.18 J/g°C)m = mass of substance∆T = change in temperature (°C)

According to this question, 2,510.0 J of heat is required to heat the 0.158kg substance from 32.0°C to 61.0°C. The specific heat capacity can be calculated:

2510 = 158 × c × (61°C - 32°C)

2510 = 4582c

c = 2510 ÷ 4582

c = 0.5478 J/g°C

Therefore, the specific heat capacity of the unknown substance that has a mass of 0.158 kg is 0.5478 J/g°C.

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(b) What is the probability that the electron can be detected in the middle one third of well, region (b)

Answers

In order to determine the probability that an electron can be detected in the middle one-third of a well region, we need to take into account the wave function and the boundary conditions.The wave function represents the probability density of finding the electron in a particular location within the well. The boundary conditions are determined by the geometry of the well, which can be rectangular, triangular, or other shapes.

The Schrodinger equation is used to calculate the wave function and determine the probability density of finding the electron in a particular location. The wave function is a complex function that describes the position and momentum of the electron. It is also used to calculate the energy of the electron in the well.The probability of finding the electron in the middle one-third of the well can be determined by integrating the probability density over the middle one-third of the well region. This will give us the probability of finding the electron in that region. The integral can be evaluated using numerical methods or analytical methods, depending on the complexity of the wave function and the boundary conditions.In general, the probability of finding the electron in the middle one-third of the well will depend on the shape of the well, the energy of the electron, and the boundary conditions. For example, if the well is rectangular and the electron is in the ground state, then the probability of finding the electron in the middle one-third of the well will be high. However, if the well is triangular and the electron is in an excited state, then the probability of finding the electron in the middle one-third of the well will be lower.

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When using higher magnification, you need more light. which parts of the microscope can be adjusted to provide more light, and how would you adjust those parts to increase the light?

Answers

Increased lamp voltage is achieved by turning the light intensity dial.

To enlarge the diameter of the hole and let more light through the slide, the iris diaphragm was modified.

Condenser: Position it higher and closer to the slide's bottom to better direct light to the centre of the slide.

How do you adjust the light level on a microscope?

Utilize the brightness adjustment knob to change the brightness. Turn the brightness control knob while looking through the eyepieces to make sure there is no glare in the field of view.

Use a daylight balancing filter if your compound microscope has a certain sort of illumination. It typically rests directly on top of the luminator or in a filter holder above the light. This filter is blue.

The daylight balancing filter will correct the colour temperature and produce a higher-quality image if your microscope is lighted by tungsten or halogen (and a better colour image). This blue filter is not necessary if your microscope is an LED.

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Consider the 56 N weight held by two cables
shown below. The left-hand cable is horizon-
tal.
F
38°
56 N
a) What is the tension in the cable slanted
at an angle of 38°?
Answer in units of N.
part 2 of 2
b) What is the tension in the horizontal
cable?
Answer in units of N.

Consider the 56 N weight held by two cablesshown below. The left-hand cable is horizon-tal.F3856 Na)

Answers

(a) The tension in the cable slanted at an angle of 38° is 90.32 N.

(b) The tension in the horizontal cable is 71.2 N.

What is net force on the weight?

The net force on the weight is determined by resolving the forces into x and y components as follows;

Let the rightward tension = T₁

Let the leftward tension = T₂

Sum of the horizontal forces is calculated as follows;

T₁cos(38) - T₂cos(0)  - 56 cos(90) = 0

0.788T₁ - T₂ = 0

0.788T₁ = T₂

Sum of the Vertical forces is calculated as follows;

T₁sin(38) + T₂sin(0) - 56sin(90) = 0

0.62T₁  - 56 = 0

T₁ = 56/0.62

T₁ = 90.32 N

The tension in the horizontal cable is calculated as follows;

T₂ = 0.788T₁

T₂ = 0.788 x 90.32 N

T₂ = 71.2 N

Thus, the tension in each cable is determined by resolving the forces into various components as shown above.

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5. a hockey puck struck by a hockey stick is given an initial speed of 10 m/s. if the coefficient of kinetic friction between ice and puck is 0.10, how far will the puck slide before stopping?

Answers

According to the given statement 5.24 m  far will the puck slide before stopping.

What other names are given to kinetic friction?

Sliding friction, commonly referred to as kinetic friction, develops when two surfaces rub against one another. The interlocking of surface imperfections causes kinetic friction.

Briefing:

Let m represent the puck's mass. Since Newton's law states that the net force acting on the puck in the vertical direction is ∑ F = n - mg = 0, the upward normal force produced by the ice has a value of n = mg.

Newton's second law states that the net horizontal force exerted on the puck as a result of the frictional force is f = 0.10mg.

∑ F = -f = ma

Solve for the acceleration a :

-0.10mg = ma

a = -0.10 (9.8 m/s²)

a ≈ -0.98 m/s²

The puck slides to a rest over a distance x such that, assuming constant friction

0² - (10 m/s)² = 2ax

Solve for x :

x = -(10 m/s)²/(2a)

x = -(10 m/s)² / (2 (-0.98 m/s²))

x ≈ 5.24 m

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how did photosynthesis start?

Answers

Answer:

Fossils of what are thought to be filamentous photosynthetic organisms have been dated at 3.4 billion years old. More recent studies, reported in March 2018, also suggest that photosynthesis may have begun about 3.4 billion years ago.

Answer:

Overwhelming evidence indicates that eukaryotic photosynthesis originated from endosymbiosis of cyanobacterial-like organisms, which ultimately became chloroplasts (Margulis, 1992). So the evolutionary origin of photosynthesis is to be found in the bacterial domain.

Explanation:

A block of weight W is pushed to the right across a level surface at a constant velocity by a force P acting at an angle above the horizontal, as shown. The magnitude of the normal force exertedon the block by the surface is

A block of weight W is pushed to the right across a level surface at a constant velocity by a force P

Answers

ANSWER:

(a)

\(w+P\cdot\sin \theta\)

STEP-BY-STEP EXPLANATION:

The first thing is to make the force diagram to be able to determine the answer, just like this:

Therefore, in the y-direction, we can determine the value of the normal force as follows:

\(N=w+P\cdot\sin \theta\)

A block of weight W is pushed to the right across a level surface at a constant velocity by a force P

What are compounds considered to be

Answers

Answer:A compound is a substance formed when two or more elements are chemically joined.

Explation:Water, salt, and sugar are examples of compounds.

I hope this helps<3

density of certain liquid is2.4 g/cc. calculate the mass of 100cc of such liquid​

Answers

Answer:

Explanation:

Density = mass / volume

density = 2.4

volume = 100 cm^3

2.4 = m / 100     Multiply both sides by 100

2.4 * 100 = m

m = 240 grams

Choose the correct order of the Sun's layers from the center outward. a. corona, chromosphere, photosphere, convective zone, radiative zone, core b. core, magnetosphere, heliosphere, atmosphere c. atmosphere, heliosphere, magnetosphere, core, solar wind d. corona, chromosphere, convective zone, photosphere, radiative zone, core e. core, radiative zone, convective zone, photosphere, chromosphere, corona

Answers

The correct order of the Sun's layers from the center outward is e. core, radiative zone, convective zone, photosphere, chromosphere, corona.                                                                                                                                                                          

The chromosphere is the layer above the photosphere and below the corona. It is characterized by a reddish glow that is visible during a total solar eclipse.
The core is where nuclear fusion occurs, generating the Sun's energy. The radiative and convective zones transport this energy outward. The photosphere is the visible surface of the Sun, while the chromosphere is a layer above it, giving rise to solar phenomena. Finally, the corona is the Sun's outermost layer, characterized by its high temperature and plasma emissions.

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what's the minimum separation between the bees for you to be able to resolve them as two distinct insects? assume visible light with 470- nm wavelength.

Answers

The minimum separation between the bees to resolve them as two distinct insects is approximately 1.22 times the wavelength of the visible light.

To determine the minimum separation between the bees, we can use the Rayleigh criterion. The Rayleigh criterion states that two objects can be resolved as distinct if the central maximum of one object's diffraction pattern falls on the first minimum of the other object's diffraction pattern. The formula for the angular separation (θ) is:

θ = 1.22 * (λ / D)

Where θ is the angular separation, λ is the wavelength of light (in this case, 470 nm or 4.7 x 10⁻⁷ meters), and D is the diameter of the aperture (such as a lens or an eye's pupil).

To find the minimum separation (d) between the bees in real space, we can use the formula:

d = L * tan(θ)

Where L is the distance between the observer and the bees. Since we don't know L, we can't provide an exact value for d. However, it's important to note that the minimum separation is directly proportional to the angular separation (θ) and depends on the wavelength of light and the diameter of the aperture used to observe the bees.

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Please help with one and two (no links) will give brainleast

Please help with one and two (no links) will give brainleast

Answers

Answer:

1. B

2. C

WELCOME!!

Explanation:

I have had the same thing for school and I got it correct :(

what happens if you change the width of slits for a double-slit interference

Answers

Changing the width of the slits in a double-slit interference experiment affects the intensity and the width of the interference pattern formed on the screen.

In a double-slit interference experiment, light passes through two narrow slits and creates an interference pattern on a screen. The pattern consists of alternating bright and dark bands called fringes. When the width of the slits is increased, the intensity of the bright fringes increases, while the width of these fringes decreases. This occurs because the light waves passing through the wider slits interfere more constructively, resulting in brighter fringes. Conversely, when the slit width is decreased, the intensity of the bright fringes decreases, and their width increases.

Altering the width of the slits in a double-slit interference experiment impacts the interference pattern by modifying the intensity and width of the fringes. Wider slits produce brighter and narrower fringes, while narrower slits result in dimmer and wider fringes.

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It is very common for the P waves in Atrial Tachycardia to be:
a. hidden in the T wave
b. flat
c. sawtooth
d. irregular

Answers

The correct option is option (c): In Atrial Tachycardia, the P waves are commonly seen as irregular or have a sawtooth pattern.

Atrial Tachycardia is a condition characterized by a rapid heart rate originating from abnormal electrical activity in the atria of the heart. In this condition, the P waves, which represent the electrical activity generated by the atria, can exhibit certain characteristic patterns. One common finding in Atrial Tachycardia is irregular P waves.

The irregularity occurs because the electrical signals responsible for generating the P waves are not originating from the sinus node, the normal pacemaker of the heart, resulting in a lack of consistent rhythm. Another common presentation of P waves in Atrial Tachycardia is a sawtooth pattern, known as "sawtooth flutter waves."

These waves have a distinct appearance, resembling a series of sharp peaks and valleys, which can be observed on an electrocardiogram (ECG). The irregular or sawtooth P waves in Atrial Tachycardia can help differentiate this condition from other types of tachycardia and aid in its diagnosis.

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Suppose you are conducting an experiment concerning gravity's effects on falling objects, and you want to minimize air resistance.
Which of these would be the MOST useful and practical way to do this?
A)
Use larger objects.
B)
Use extremely dense objects.
O
Conduct the experiment in a vacuum.
D)
Conduct the experiment at various altitudes.

Answers

Answer: C) Conduct the experiment in a vacuum.

If an object is moving at a constant velocity, it means that?

Answers

It will not change speed or direction when it is at a constant velocity. it will be a straight line graph.

When a car suddenly stops at a red light, a book lying on the car seat slides forward. Why does the book continue to move forward?

A. The book loses its backward momentum

B. The car moves in reverse more rapidly than the book

C. The friction of braking transfers energy to the book

D. The book’s inertia causes it to continue

Answers

Answer:

i think the answer is c if you get it wrong then it is b

Explanation:

Answer:

Your answer is: D) The book's inertia causes it to continue

Explanation:

Hope this helped : )

What force is affected when the distance between two objects remains the same and the mass of each object is doubled?.

Answers

Answer:

Gravitational force between masses there is Gravitational force .

True or false:

1.Gravity is the weakest universal force, but it is the most effective over long distances.


True or false:

2.An artificial satellite in a low orbit will slow down and lose altitude due to the pull of Earth's gravity.

True or false:

3.Electromagnetic force is associated with charged particles.

Answers

False true true. Ébène end end e e e e

Which best describes energy changes in a system?


Energy is not conserved, but it cannot be created or destroyed.

Energy is conserved, but it can be created or destroyed.

Energy is conserved, and it cannot be created or destroyed.

Energy is not conserved, and it can be created or destroyed.

Answers

Answer:

The correct answer is: Energy is conserved, and it cannot be created or destroyed. This is known as the law of conservation of energy, which states that in a closed system, the total amount of energy remains constant and cannot be created or destroyed, only transformed from one form to another. This means that energy can be converted from one form to another, such as from potential energy to kinetic energy, but the total amount of energy in the system remains the same.

Why is acceleration due to gravity low in the space?

Answers

Answer:

Explanation:

actually , the acceleration due to gravity depends on the distance from it's center of the earth.

when the distance from the earth increases , the acceleration due to gravity decreases as a result . The value of gravity in space is zero.

A plane makes a complete circle with a radius of
3622 m in 2.10 min. What is the speed of the plane?

Answers

Answer:

10

Explanation:

Other Questions
Follow the steps below to find and classify the extrema (maximum, minimum, or saddle points) of the function f(x) = -9x + 6 a. Find f'(x) b. Set f'(x) from answer (a) equal to zero and solve for x (use the method of factoring to solve the equation) The values of x you found in part (b) should be x=-3, and x = +3. These are the x values of the two extrema of f(x). Next, We will classify the extrema as maximum, minimum, or saddle point c. Calculate the second derivative f"(x) d. Check the extrema at x=-3 by evaluating f"(x=-3). Based on the value of f"(x=-3), is the extremum at x=-3 a maximum, a minimum, or a saddle point? e. Check the extrema at x=+3 by evaluating f"(x=+3). Based on the value of f"(x=+3), is the extremum at x=+3 a maximum, a minimum, or a saddle point? When Robert's great-grandfather was a detective many decades ago, he frequentlyused the A-B-O system to help solve crimes. How did he MOST likely do this? John purchased a $20,000 20-year bond at a 2% dis- count. It pays semiannually at a rate of 4% per year. If he wishes to make 6% per year on his investment, the semiannual dividend he will receive is QUESTIONSignature Corp. has WACC of 12%. Its capital structure is based on 100% equity but it has ability to borrow at a rate of 10%. Compute the followings:a. The Cost of equity of Signature Corp.;[3 marks]b. If Signature Corporation converts to 75% equity, calculate its cost of equity.[7 marks]c. If Signature Corporation converts to 50% equity, calculate its cost of equity.7 marks]ii. Atalian Manufacturing Ltd. Uses 1,900 switch assemblies per week and then reorder another 1,900. If therelevant carrying cost per switch assembly is $9, and the fixed order cost is $850. Is Atalian's inventory policyoptimal? Explain. 3(5 + 6) =What is the answer? to which superkingdom does the organism that causes malaria belong Which type of hard stabilization increases beach erosion? choose all that apply. Please help me find all solutions to the equation below on the interval [0,2pi), thank you! What led to the deportation of Mexican Americans in the Southwest during the Depression? 14b = 56 Answer pls brainlist will be included if got right some African American students sued their states for not providing a quality education. These students wanted public schools to PLEASE ANSWER ASAP WILL MARK BRAINLIEST!!A cone is composed of two congruent bases and a lateral surface.a. Trueb. False marketing strategies for the business-to-business market multiple choice are concerned with the same types of purchasing influences as those in the consumer market. are basically similar to the consumer market, because business buyers are also consumers. are not concerned with relationship marketing techniques. differ from consumer marketing strategies because business buyers have their own decision-making process. the area of a parallelogram is 1801, and the lengths of its sides are 19 and 99. determine, to the nearest tenth of a degree, the measure of the acute angle of the parallelogram. The following information pertains to Marvolo, Inc. What is the sales volume (in units) required to obtain a target AFTER-TAX profit of $120,000? Selling price per unit $100 Variable costs per unit $80 Total fixed costs $400,000 Tax rate 40% 10,000 units 30.000 units 35,000 units 7.500 units QUESTION 38 Middle Inc income statement is as follows: 0930 client software that displays web page elements and handles links between those pages. T/F For each value of u, determine whether it is a solution to 6u-1< 19. u Is it a solution? Yes or No 5 4 3 8 Steel pier company has issued bonds that pay semiannually with the following characteristics: coupon yield to maturity maturity macaulay duration 10% 10% 10 years 6. 76 years if the bond's coupon was smaller than 10%, the modified duration would be Suppose that there are 12 teachers for every 39 students at a small private school.What is the unit rate of teachers per student?The unit rate of teachers per student is......... How does the pacing of the second paragraph create tension in the story