Can the tangent line to a velocity vs. time graph ever be vertical? Explain.

Answers

Answer 1

Answer:

No. Because it would correspond to zero Instantaneous acceleration.

Explanation:

hope this helps


Related Questions

Consider a block of mass m at rest on an inclined plane of angle theta. An acrobat of mass m_A is standing on the top corner of the block so that their weight presses vertically (perpendicular to the flat ground under the incline) downward. If the coefficient of static friction between the block and the incline is mu_s find an expression relating m_A, m, theta, and mu_s just before the block begins slipping. If the condition for slipping does not involve some of these parameters, leave them out.
Enter your expression as best you can and I will check it. Do not forget to upload your work as well.

Answers

Answer:

μ = tan θ

Explanation:

For this exercise let's use the translational equilibrium condition.

Let's set a datum with the x axis parallel to the plane and the y axis perpendicular to the plane.

Let's break down the weight of the block

         sin θ = Wₓ / W

         cos θ = W_y / W

         Wₓ = W sin θ

         W_y = W cos θ

The acrobat is vertically so his weight decomposition is

         sin θ = = wₐₓ / wₐ

         cos θ = wₐ_y / wₐ

         wₐₓ = wₐ  sin θ

         wₐ_y = wₐ cos θ

let's write the equilibrium equations

Y axis  

     N- W_y - wₐ_y = 0

     N = W cos θ + wₐ cos θ

X axis

        Wₓ + wₐ_x - fr = 0

         fr = W sin θ + wₐ sin θ

the friction force has the formula

         fr = μ N

         fr = μ (W cos θ + wₐ cos θ)

we substitute

         μ (Mg cos θ + mg cos θ) = Mgsin θ + mg sin θ

         μ = [tex]\frac{(M +m) \ sin \ \theta }{(M +m) \ cos \ \theta }[/tex]

 

         μ = tan θ

this is the minimum value of the coefficient of static friction for which the system is in equilibrium.

A skater spins with an angular speed of 5.9 rad/s with her arms outstretched. She lowers her arms, decreasing her moment of inertia by a factor of 1.7. Ignoring friction on the skates, determine the ratio of her final kinetic energy to her initial kinetic energy.

Answers

Answer:

the ratio of her final kinetic energy to her initial kinetic energy is 1.7.

Explanation:

Given;

initial angular speed, ω₁ = 5.9 rad/s

let her initial moment of inertia = I₁

her final moment of inertia [tex]I_2 = \frac{I_1}{1.7}[/tex]

Apply the principle of conservation of angular momentum to determine the final angular speed of the girl;

[tex]\omega_1I_1 = \omega_f I_2\\\\\omega_f = \frac{\omega _1 I_1}{I_2} \\\\\omega_f = \frac{5.9 \times I_1}{I_1/1.7} \\\\\omega = 5.9 \times 1.7 \\\\\omega_f = 10.03 \ rad/s[/tex]

The initial rotational kinetic energy is given as;

[tex]K.E_I = \frac{1}{2}I_1 \omega_I ^2[/tex]

The final rotational kinetic energy is given as;

[tex]K.E_f = \frac{1}{2}I_2 \omega_f ^2[/tex]

The ratio of her final kinetic energy to her initial kinetic energy is given as;

[tex]\frac{K.E_f}{K.E_I}= \frac{\frac{1}{2}I_2 \omega_f^2 }{\frac{1}{2} I_1\omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{I_2 \omega_f^2}{ I_1\omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{I_1/1.7 \times \omega_f^2}{ I_1 \times \omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{ \omega_f^2}{ 1.7 \omega _1^2} \\\\\frac{K.E_f}{K.E_I}= \frac{ (10.03)^2}{ 1.7(5.9)^2} = \frac{17}{10} = 1.7[/tex]

Therefore, the ratio of her final kinetic energy to her initial kinetic energy is 1.7.

What is surface tension ​

Answers

Answer:

Surface tension is,  the surface where the water meets the air, water molecules cling even more tightly to each other.

In a physics lab experiment for the determination of moment of inertia, a team weighs an object and finds a mass of 4.07 kg. They then hang the object on a pivot located 0.155 m from the object's center of mass and set it swinging at a small amplitude. As two of the team members carefully count 113 cycles of oscillation, the third member measures a duration of 247 s. What is the moment of inertia of the object with respect to its center of mass about an axis parallel to the pivot axis

Answers

Answer:

I = 0.65 kgm²

Explanation:

Since the mass is an inertial pendulum, we use the formula for the period, T of an inertial pendulum.

T = 2π√(I/mgh) where I = moment of inertia of object about pivot point, m = mass of object5 = 4.07 kg, g = acceleration due to gravity = 9.8 m/s² and h = distance of center of mass of object from pivot point = 0.155 m.

Given that the team measures 113 cycles of oscillation in 247 s, the period, T = time of oscillations/total number of oscillations = 247 s/113 oscillations = 2.186 s/oscillation

So, T = 2.186 s

We now find I by making it subject of the formula in the equation for T.

So,

T = 2π√(I/mgh)

dividing both sides by 2π, we have

T/2π = √(I/mgh)

squaring both sides, we have

(T/2π)² = [√(I/mgh)]²

T²/4π² = I/mgh

multiplying both sides by mgh, we have

T²mgh/4π² = I

I = T²mgh/4π²

substituting the values of the variables into the equation, we have

I = T²mgh/4π²

I = (2.186 s)² × 4.07 kg × 9.8 m/s² × 0.155 m/4π²

I = 4.778 s² × 4.07 kg × 9.8 m/s² × 0.155 m/4π²

I =  29.539 kgm²/4π²

I = 0.748 kgm²

Now I = I' + mh²  (parallel axis theorem) where I' = moment of inertia of object about its center of mass, m = mass of object = 4.07 kg and h = distance of center of mass object from pivot point.

So, I' = I - mh²

Substituting the values of the variables into the equation, we have

I' = I - mh²

I' = 0.748 kgm² - 4.07 kg × (0.155 m)²

I' = 0.748 kgm² - 4.07 kg × 0.02403 m²

I' = 0.748 kgm² - 0.098 kgm²

I = 0.65 kgm²

What type of electromagnetic radiation is being shown in the picture?

A. Gamma rays
B. Ultraviolet radiation
C. X-rays
D. Infrared radiation

Answers

Answer:

I think D. Infrared radiation.

Answer:

infrared radition

Explanation:

valid

A plano concave lens is one that has a surface that curves inward, making the lens thinner at its center than at its edges. Its effect on light is :_______.
a.) to make it appear as if incident parallel light is coming from a point close to the lens on the opposide side from the light source
b.) the diverge in incident beam of light
c.) to converge light to a focus
d.) to make it appear as if incident parallel light is coming from a point close to the lens on the same side as the light source

Answers

Answer:

b.) the diverge in incident beam of light

Explanation:

A lens refers to any refracting surface. The manner in which a lens is curved tells whether it is a concave(diverging) lens or a convex (converging) lens.

A convex lens is thicker at the center than at the edges. It makes light to converge at a point.

A concave lens is is thinner at the center than at the edges. It makes light to appear to diverge from a point, hence the answer above.

⦁ An electron is moving through a 10 T magnetic field at a speed of 3.5 x107m/s perpendicular to the direction of the field. What is the force that applied on the charge?

Answers

Answer:

    F = 5.6 10⁻¹¹ N

Explanation:

The magnetic force is given by

         F = q v x B

The bold  indicate vectors, the scalar form of this expression is

         F = q v B sin θ

in this case they indicate that the speed and the magnetic field are perpendicular, so the angle is 90º and the sin 90 = 1

         F = q v B

the magnitude of the force is

         F = 1.6 10⁻¹⁹  3.5 10⁷ 10

         F = 5.6 10⁻¹¹ N

If objects are traveling in opposite directions, what do you know about the signs of their momenta?

Answers

Explanation:

the impulse and momentum change on each object are equal in magnitude and opposite in directions. Thus the total momentum is reserved

They have no overall momentum at all. They are travelling in opposing directions yet having the same mass and velocity. Their momentum vectors add up to exactly zero when added together.

What If objects are travelling in opposite directions?

When two objects collide, opposite-direction forces of equal magnitude are exerted to each item. When there are such pressures, it usually happens that one item speeds up and gains momentum, while the other object slows down (lose momentum).

Think about a situation where two similar objects are going in opposite directions at the same speed. It's noteworthy to note that despite both items moving, the momentum of the system as a whole is zero because the oppositely oriented vectors cancel out.

Therefore, Every object experiences an equal but opposite change in impulse and momentum. Thus, the entire momentum is held back.

Learn more about objects here:

https://brainly.com/question/3417843

#SPJ2

Friction forces cannot change the speed and direction of an object True or false

Answers

Answer:

false

Explanation:

This statement is false since frictional force always reduces the speed of and object and also always acts opposite to the direction of a motion. The correct answer is False

FRICTION

Frictional force is a force that opposes motion of an object.

When an object is in motion, the speed of the object will be constant only when the forces acting on the object are balanced. That is, the frictional force balanced or equal to the force applied. A balanced force cannot change the speed and direction of an object in motion.

There will be change in speed and direction when forces acting on the object are not balanced.

Friction forces cannot change the speed and direction of an object. This statement is false since frictional force always reduces the speed of and object and also always acts opposite to the direction of a motion.

Therefore, the correct answer is False.

Learn more about Friction here: https://brainly.com/question/1424758

The instantaneous speed of a cat running 400 meters in 20 seconds is 20 meters per second.

OTrue
O False

Answers

Answer:

true

Explanation:

400/20=20

Answer:

True

Explanation:

400/20=20mps

plz mark me as brainliest.

Examine the model of the phrases of the moon. Which of these statements is true, based on the information shown in the model.
Select ALL that apply.

A) The new moon occurs when the moon is the sun.
B) The quarter moons occur when the moon is closest to the sun
C) The Full moons Occur when the moon is farthest from the earth.
D) The relative position of the moon, Earth, Sun causes the moon phases.
E) Only half of the moon is illuminated by the sun at any point in the cycle

Answers

Answer:

D and E

Explanation:

I had this quiz as well so-


What is a negative effect of increased carbon dioxide within the carbon cycle?

Answers

Answer:

Explanation:

Carbon dioxide controls the amount of water vapor in the atmosphere and thus the size of the greenhouse effect. Rising carbon dioxide concentrations are already causing the planet to heat up.


What is oscillating to form a light wave?
O Electric and Magnetic Fields
O Matter
O Light is only a particle, not a wave
O The Luminiferous Aether

Answers

I think the answer is B ( matter )

Planet X has a moon similar to Earth’s moon.

Which path would this moon’s orbit take?

Answers

what are the choices?

A wheel rotating about a fixed axis with a constant angular acceleration of 2.0 rad/s2 starts from rest at t = 0. The wheel has a diameter of 20 cm. What is the magnitude of the total linear acceleration of a point on the outer edge of the wheel at t = 0.60 s? Hint: To find total linear acceleration (in m/s2)you need to have tangential and radial acceleration . Tangential acceleration can be calculated using angular acceleration at=rα To find redial acceleration you need to calculate final linear speed of that point and use ar=vf2r . And vf=rωf.

Answers

Answer:

The total linear acceleration is approximately 0.246 meters per square second.

Explanation:

The total linear acceleration ([tex]a[/tex]) consist in two components, radial ([tex]a_{r}[/tex]) and tangential ([tex]a_{t}[/tex]), in meters per square second:

[tex]a_{r} = \omega^{2}\cdot r[/tex] (1)

[tex]a_{t} = \alpha \cdot r[/tex] (2)

Since both components are orthogonal to each other, the total linear acceleration is determined by Pythagorean Theorem:

[tex]a = \sqrt{a_{r}^{2}+a_{t}^{2}}[/tex] (3)

Where:

[tex]r[/tex] - Radius of the wheel, in meters.

[tex]\omega[/tex] - Angular speed, in radians per second.

[tex]\alpha[/tex] - Angular acceleration, in radians per square second.

Given that wheel accelerates uniformly, we use the following kinematic equation:

[tex]\omega = \omega_{o}+ \alpha\cdot t[/tex] (4)

Where:

[tex]\omega_{o}[/tex] - Initial angular speed, in radians per second.

[tex]t[/tex] - Time, in seconds.

If we know that [tex]r = 0.1\,m[/tex], [tex]\alpha = 2\,\frac{rad}{s^{2}}[/tex], [tex]\omega_{o} = 0\,\frac{rad}{s}[/tex] and [tex]t = 0.60\,s[/tex], then the total linear acceleration is:

[tex]\omega = \omega_{o}+ \alpha\cdot t[/tex]

[tex]\omega = 1.2\,\frac{rad}{s}[/tex]

[tex]a_{r} = \omega^{2}\cdot r[/tex]

[tex]a_{r} = 0.144\,\frac{m}{s^{2}}[/tex]

[tex]a_{t} = \alpha \cdot r[/tex]

[tex]a_{t} = 0.2\,\frac{m}{s^{2}}[/tex]

[tex]a = \sqrt{a_{r}^{2}+a_{t}^{2}}[/tex]

[tex]a \approx 0.246\,\frac{m}{s^{2}}[/tex]

The total linear acceleration is approximately 0.246 meters per square second.

If acceleration is zero what statement about velocity is true *
A)Velocity is zero
B)Velocity is constant
C)Velocity cannot be determined
D) Velocity is changing

Answers

Answer:

Option"B" is correct.

Explanation:

when a body move with constant velocity then acceleration is zero.

If the acceleration of an object is 0, it means the velocity of an object is constant and not changing with respect to time,

So, the correct option will be :

=》B)Velocity is constant

A device known as an optical resonator is used in lasers. An optical resonator consists of an arrangement of mirrors that reflect electromagnetic radiation back and forth within an empty cavity. The electromagnetic radiation within the cavity reflects off of the mirrors multiple times. The mirrors are precisely placed so that only particular frequencies can survive within the cavity via constructive interference. All other frequencies are suppressed via destructive interference. The end result is a beam of light of a certain frequency.

An optical resonator of the type described above depends on the tendency of light to
A. behave as a wave.
B. excite atoms to certain energy levels.
C. excite electrons to certain energy levels.
D. behave as a particle.

Answers

Answer:

A. The resonator behaves as a wave guide (a hollow pipe used as a transmission line). The characteristics of the pipe depend on the type of the wave to be transmitted.

Can someone take there time and answer this :)

Answers

Answer: I think B.)

Explanation:

the answer is D, because if there are the exact same organisms that are extinct in these two places, that means that they must have started at a similar place that no longer is connected.

Consider the model of the energy transformation of this system. What can you say about N and M in the model?
A) M < N
B) N = M
C) N < M
D) N + M =

Answers

The correct answer is A

Model of the energy transformation of this system we can say about N and M in the model is M < N.

What is energy?

Energy is the ability or capability to do tasks, such as the ability to move an item (of a certain mass) by exerting force. Energy can exist in many different forms, including electrical, mechanical, chemical, thermal, or nuclear, and it can change its form.

The model shows the energy transformation in electrical appliance Fan the is lass of energy in form of heat so  M < N.

Model of the energy transformation of this system we can say about N and M in the model is M < N.

To learn more about energy refer to the link:

brainly.com/question/1932868

 #SPJ2

You and a friend are playing with a Coke can that you froze so it's solid to demonstrate some ideas of Rotational Physics. First, though, you want to calculate the Rotational Kinetic Energy of the can as it rolls down a sidewalk without slipping. This means it has both linear kinetic energy and rotational kinetic energy. [The freezing only matters because if there is liquid inside, the calculation for the Moment of inertia becomes more complicated]. A Coke can can be modeled as a solid cylinder rotating about its axis through the center of the cylinder. This can has a mass of 0.33 kg and a radius of 3.20 cm. You'll need to look up the equation for the Moment of Inertia in your textbook. It is rotating with a linear velocity of 6.00 meters / second in the counter-clockwise (or positive) direction. You can use this to determine the angular velocity of the can (since it is rolling without slipping). What is the Total Kinetic Energy of the Coke can

Answers

Answer:

  K_{total} = 8.91 J

Explanation:

In this exercise you are asked to find the kinetic energy of the can of coca-cola

         K_total = K_ {Translation} + K_ {rotation}

the translational kinetic energy is

         K_ {translation} = ½ m v²

the kinetic energy of rotation is

         K_ {rotation} = ½ I w²

The moment of inertia of a cylinder is

           I = ½ m r²

we substitute

          K_ {total} = ½ m v² + ½ (½ m r²) w²

angular and linear velocity are related

          v = w r

we substitute

          K_ {total} = ½ m v² + ¼ m r² v² / r²

          K_ {total} = m v² (½ + ¼)

          K_ {total} = ¾ m v²

let's calculate

          K_ {total} = ¾ 0.33 6.00²

           K_{total} = 8.91 J

If acceleration is zero what statement about velocity is
true *
A)Velocity is zero
B)Velocity is constant
C)Velocity cannot be determined
D) Velocity is changing​

Answers

Answer: A

Velocity is zero because the acceleration isn't affected, and velocity is the rate of change, so it can't be any other options.

Answer:

B)Velocity is constant

Explanation:

If an object moves with a velocity and there is no acceleration, then the velocity remains constant. His velocity after five second will be equal to his initial velocity.

#keeplearning dude:)

Two long, straight wires are separated by a distance of 32.2 cm. One wire carries a current of 2.75 A, the other carries a current of 4.33 A. (a) Find the force per meter exerted on the 2.75-A wire. (b) Is the force per meter exerted on the 4.33-A wire greater than, less than, or the same as the force per meter exerted on the 2.75-A wire

Answers

Answer:

a)[tex]\frac{F_1}{L}=1.95*10^-^5N[/tex]

b)[tex]\frac{F_2}{L}=1.95*10^-^5N[/tex]

Explanation:

From the question we are told that:

Distance between wires [tex]d=32.2[/tex]

Wire 1 current [tex]I_1=2.75[/tex]

Wire 2 current [tex]I_2=4.33[/tex]

a)

Generally the equation for Force on [tex]l_1[/tex] due to [tex]I_2[/tex] is mathematically given by

[tex]F_1=I_1B_2L[/tex]

Where

B_2=Magnetic field current by [tex]I_2[/tex]

[tex]B_2=\frac{\mu *i_2}{2\pi d}[/tex]

Therefore

[tex]F_1=I_1B_2L[/tex]

[tex]F_1=I_1(\frac{\mu *i_2*l_1}{2\pi d})L[/tex]

[tex]\frac{F_1}{L} =\frac{4*\pi*10^{-7}*2.75*4.33*100 }{2*\pi*12.2 }[/tex]

[tex]\frac{F_1}{L}=1.95*10^-^5N[/tex]

b)

Generally the equation for Force on [tex]I_2[/tex] due to [tex]I_1[/tex] is mathematically given by

[tex]F_2=I_2B_1L[/tex]

Where

B_1=Magnetic field current by [tex]I_2[/tex]

[tex]B_1=\frac{\mu *I_1}{2\pi d}[/tex]

Therefore

[tex]\frac{F_2}{L} =I_2(\frac{\mu *I_1*I_2}{2\pi d})[/tex]

[tex]\frac{F_2}{L}=1.95*10^-^5N[/tex]

Which of the following is not a unit of speed *
a) m/s
b) km/s
c) mph [miles per hour]
d) light year

Answers

Answer:

I think it's light year but there shouldn't be also km/s but km/h

A ball is attached to one end of a wire, the other end being fastened to the ceiling. The wire is held horizontal, and the ball is released from rest. It swings downward and strikes a block initially at rest on a horizontal frictionless surface. Air resistance is negligible, and the collision is elastic. The masses of the ball and block are, respectively, 1.48 kg and 2.77 kg, and the length of the wire is 1.11 m. Find the velocity of the ball just after the collision.

Answers

Answer: Velocity of the ball just after the collision is -1.414 m/s.

Explanation:

As energy is conserved in a reaction so here, energy before collision will be equal to the energy after collision.

[tex]E_{before} = mgh = E_{after} = \frac{1}{2}mv_{o}^{2}[/tex]

where,

m = mass

g = gravitational energy = [tex]9.8 m/s^{2}[/tex]

h = height or length

[tex]v_{o}[/tex] = initial velocity

Also here, height is the length of wire. Let the height be denoted by 'L'. Therefore,

[tex]\frac{1}{2}mv_{o}^{2} = mgL\\v_{o}^{2} = 2gL\\v_{o} = \sqrt{2gL}\\= \sqrt{2 \times 9.8 m/s^{2} \times 1.11 m}\\= 4.66 m/s[/tex]

Formula used to calculate velocity after the collision is as follows.

[tex]v_{f ball} = v_{o} [\frac{m_{ball} - m_{block}}{m_{ball} + m_{block}}][/tex]

where,

[tex]v_{f ball}[/tex] = final velocity of ball after collision

[tex]m_{ball}[/tex] = masses of ball

[tex]m_{block}[/tex] = masses of block

Substitute the values into above formula as follows.

[tex]v_{f ball} = v_{o} [\frac{m_{ball} - m_{block}}{m_{ball} + m_{block}}]\\= 4.66 m/s [\frac{1.48 kg - 2.77 kg}{1.48 kg + 2.77 kg}]\\= 4.66 m/s \times (-0.303)\\= -1.414 m/s[/tex]

Thus, we can conclude that velocity of the ball just after the collision is -1.414 m/s.

What are the two forces acting on a balanced hot air balloon.
of
O a. Gravity and Weight
O b.
Air resistance and upthrust
O c. Applied force and upthrust
d.
Gravity and air resistance

Answers

Answer:

I want to say option C) Applied force and upthrust.

Explanation:

Sorry if my answer is wrong. You can look in your book or study up on the website.

Please help...
!!!!!!!

Answers

Answer:

1) C. The precise location of weather-related phenomena

2) C. It shows that the galaxies are moving farther away.

Explanation:

1) The global positioning system can be used in many ways, like in navigation, mapping and surveying the land. It is also used to observe the small changes taking place in the movement of objects on earth. They are usually used to study earthquakes.

2) When light from the galaxies is shifted towards the longer wavelengths, it is called red shift. When light shifts towards the shorter wavelengths, it is called blue shift. Big bang theory states how the primordial universe started expanding from a hot and dense singularity, in the process of evolution of the universe.

The  universe is expanding always. Galaxies that are a part of the universe keep expanding and move farther away from each other. The galaxies that are very far off appear to  move much faster than the nearby galaxies.

PLZ help 10 points!!! space question!

Answers

Answer:

B. They are smaller and made of rocky material

Explanation:

i think it's right??

Increasing the telescope diameter beyond the value found in part (a) will increase the light-gathering power of the telescope, allowing more distant and dimmer astronomical objects to be studied, but it will not improve the resolution. In what ways are the Keck telescopes (each of 10-m diameter) atop Mauna Kea in Hawaii superior to the Hale Telescope (5-m diameter) on Palomar Mountain in California

Answers

Answer:

Ability of the Keck telescope to capture more distant object despite been atop Mauna kea that Hale Telescope may not capture even if it is atop Palomar mountain in California

Explanation:

If increasing the Diameter of a Telescope beyond a given value will increase the ability of the telescope to capture more light and also capture astronomical objects located in a very distant position without improving resolution.

Hence the superiority of Keck telescope atop Mauna Kea over Hale Telescope atop Palomar mountain in California is the ability of the Keck telescope to capture more distant object despite been atop Mauna kea that Hale Telescope may not capture even if it is atop Palomar mountain in California

Chemotherapy is used to treat
cervical cancer.
endometriosis.
undescended testicles.
benign prostatic hypertrophy.

Answers

Answer:

Cervical cancer

Explanation:

Chemotherapy is a common treatment or most cancers

Answer:

A

Explanation:

A level of
class one
has a length of
4m
and is
able
to lift
a load of 40kg with a force of 40N. Find
the position Of
fulcrum.

Answers

Answer:

x = 2 meters.

Explanation:

Let the position (distance) of fulcrum to the load be x.

Given the following data;

Load = 40 kg

Effort (force) = 40 Newton

Effort arm = 4 - x

To find the position of the fulcrum, we would use the expression;

Effort * effort arm = load * load arm

40 * (4 - x) = 40 * x

160 - 40x = 40x

160 = 40x + 40x

160 = 80x

x = 160/80

x = 2 meters

Therefore, the position (distance) of fulcrum to the load is 2 meters.

Other Questions
Two point charges, initially 3 cm apart, are moved to a distance of 1 cm apart. By what factor does the resulting electric force between them change?A. 3B. 1/9C. 1/3D. 9 Leah predicts that she will need to contribute $7,000 per year for college tuition and already has $4,000 in savings. She is beginning her Junior year in high school and knows she has 2 years to save to pay for her first year. How much does Leah need to put into her savings account each month to pay for her first year? As part of the global economy, the United States plays the role ot:A. the country with the lowest standard of living,B. the largest of the developing countries,O c. the country most focused on agriculture.D. the most economically powerful country. Maya has a car loan of $31,470. The loan has a simple interest rate of 5% per year.What is the amount of interest that Maya will be charged on this loan at the end of one year? How many ways can three people be selected from a group of seven people if orderDOES matter? Two years ago, you purchased 100 shares of General Mills Corporation. Your purchase price was $53 a share, plus a total commission of $34 to purchase the stock. During the last two years, you have received the following dividend amounts: $1.90 per share for the first year and $2.03 per share the second year. Also, assume that at the end of two years, you sold your General Mills stock for $59 a share minus a total commission of $41 to sell the stock.Required:a. Calculate the dividend yield for your General Mills stock at the time you purchased it.b. Calculate the dividend yield for your General Mills stock at the time you sold it.c. Calculate the total return for your General Mills investment when you sold the stock at the end of two years.d. Calculate the annualized holding period yield for your General Mills investment at the end of the two-year period. Classify the triangle by its angle measures. 80 30 70 _____ is the process of linking smaller molecules to form long chains of higher molecular weight. HELP... I will give brainliest to the best answer! :))(a) Write 2500 in expanded notation. (b) Write the prime factorization of 2500 using exponents(c) Find 2500. What is the solution to follow system of equations? x-3y=7 2x-6y=12 an insurance agent is paid a salary of 200gh cedis and a commission of 3% on all sales over 2000gh cedis per month. if his total income in a particular month was 530gh cedis, what was the amount of his sales for that month? Is it possible to use substitution to solve a system of linear equations if one equation represents a horizontal line and the other equation represents a vertical line? help ik its not math btw brainliest ill give What does China specialize in today? Write the equation of a circle that has a center of (-8, 0)and a diameter of 8. In your own words explain the benefits of the invention of the cotton gin Ms. Gonzalez had $70 to purchase school supplies for her class. She bought 29 glue sticks and 29 boxes of crayons. Each glue stick cost $1.29, and each box of crayons cost $0.79. How much money did Ms. Gonzalez have left after these purchases? What is the 18th term for the following sequence?-3, 1, 5, 9, 13, please help no links or ill report you anyone wanna hop on 1v1.lolparty code : usfhb6