the shearing forces exerted on the cross section of a steel channel can be represented by a 900-n vertical force and two 272-n horizontal forces p as shown. replace this force and couple with a single force f applied at point c, and determine the distance x from c to line bd. (point c is defined as the shear center of the section.)

Answers

Answer 1

Since point C is defined as the shear center of the section, we know that the moment due to the applied force and couple about point C must be zero.

Taking moments about point C:

M_c = -900(8) + 272(6) - 272(2) + F(x) = 0

where F(x) is the moment due to the unknown force applied at point C.

Simplifying, we get:

F(x) = 900(8) - 272(6) + 272(2)

F(x) = 5376 N

Since this is a force couple, we can represent it as a force of 5376 N acting at point C and a moment of 5376x N·m (clockwise) where x is the distance from point C to line BD.

Setting the moment equal to zero:

5376x = 900(4) + 272(2)

x = (900(4) + 272(2))/5376

x = 0.778 m (rounded to three significant figures)

Therefore, the distance x from point C to line BD is approximately 0.778 m.


Related Questions

An object is thrown up from the top of a building of height h with an initial velocity v,. The object reaches its maximum height and then returms down to the ground. The velocity of this object when it reaches the maximum height is equal to:

An object is thrown up from the top of a building of height h with an initial velocity v,. The object

Answers

Maximum height of the object is the highest vertical position along its trajectory. The object is flying upwards before reaching the highest point - and it's falling after that point. It means that at the highest point of projectile motion, the vertical velocity is equal to 0 (Vy = 0)

A person runs 3km north. One hour later, she runs 3km south, which of the following statements describes the persons complete trip

Answers

The person's complete trip was a 6km round trip because they traveled 3km north and then 3km south, returning to their original location.

What is trip?

A trip is a journey or excursion to some destination, usually for a specific purpose. It can be as short as a day trip or as long as a round-the-world adventure. A trip typically involves travel by foot, car, railroad, boat, or airplane and often involves multiple destinations. It may also involve activities such as camping, hiking, sightseeing, and other leisure activities. Travelers usually plan trips in advance to ensure they have enough time to see and do the things they want to. Trips can also be spontaneous, with travelers deciding on the fly where to go and what to do.

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. the red light emitted by a ruby laser has a wavelength of 694.3 nm. what is the difference in energy between the initial state and final state corresponding to the emission of the light?

Answers

The energy difference between the initial and final states can be calculated using the formula E = hc/λ.

The wavelength of light is related to the energy of the photon according to the Planck's law.

Where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. Substituting the given values, we get E = (6.626 x 10^-34 J s x 3 x 10^8 m/s)/(694.3 x 10^-9 m) = 2.85 x 10^-19 J. This means that the transition from the initial state to the final state releases energy of 2.85 x 10^-19 J, which corresponds to the emission of the red light by the ruby laser.

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This glass of lemonade is sitting in the hot summer sun. As time passes, in which direction will heat transfer take place?
ОА.
ice
lemonade
B.
lemonade -- air
. C.
air
lemonade
D.
ice - straw
E.
ice - air

Answers

Answer:

it A.

Explanation:

did the test on Edmentum and got it right

Which factors are always part of linear motion?

Answers

I’m linear motion, the directions of all the vectors describing the system are equal and constant which means the object move along the same axis and do not change directions

Hope this helped

What is the energy equivalent of an object with a mass of 1. 05 g? 3. 15 Ă— 105 J 3. 15 Ă— 108 J 9. 45 Ă— 1013 J 9. 45 Ă— 1016 J.

Answers

Considering the equivalence between mass and energy given by the expression of Einstein's theory of relativity, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.

The equivalence between mass and energy is given by the expression of Einstein's theory of relativity, where the energy of a body at rest (E) is equal to its mass (m) multiplied by the speed of light (c) squared:

E=m×c²

This indicates that an increase or decrease in energy in a system correspondingly increases or decreases its mass, and an increase or decrease in mass corresponds to an increase or decrease in energy.  

In other words, a change in the amount of energy E, of an object is directly proportional to a change in its mass m.

In this case, you know:

m=1.05 kg c= 3×10⁸ m/s

Replacing:

E= 1.05 kg× (3×10⁸ m/s)²

Solving:

E= 9.45×10¹⁶ J

Finally, the correct answer is the last option: the energy equivalent of an object with a mass of 1.05 kg is 9.45×10¹⁶ J.

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A cylinder has a radius of 4 inches (in.) . If its volume is 144 pi cubic inches (in.^ 3 ) what is the height of the cylinder?

Answers

Answer:

18 inches of cube

Explanation:

Calculate the final velocity of an object, given that:
Initial velocity = 2 m/s
Acceleration = 1 m/s2
Distance moved = 16 m​

Answers

64. 16x16 = 4 so 9x9 divided by 2 equals 7

What is motion? Short sentence

Answers

Motion is action of moving.

Describe the language of the following PDA (z is the stack end symbol) (the figure can be located under a, z/bbz X, z/z b,6/1 ۸, 2/2 90 91 92 a, b/bbb 1 b,b/1

Answers

The language of the given pushdown automaton (PDA) can be described as follows:

The PDA has a stack alphabet consisting of symbols 'a', 'b', 'z', '6', '1', '۸', '2', '9', '0', 'x', 'y'. 'z' represents the stack end symbol.

The transitions of the pushdown automaton (PDA) are as follows:

(a, z, z) -> (X, z): This transition allows the PDA to replace an 'a' at the input with an 'X' on the stack while maintaining the stack end symbol 'z'.(z, b, z) -> (z, z): This transition allows the PDA to pop a 'b' from the input without modifying the stack.(z, z, b) -> (6, 1): This transition allows the PDA to push '6' and '1' onto the stack when encountering a 'b' on the input.(6, 1, b) -> (۸, 2): This transition allows the PDA to replace the '6' and '1' on the top of the stack with '۸' and '2' respectively when another 'b' is read from the input.(x, y, b) -> (b, b, b): This transition allows the PDA to replace 'x' and 'y' on the top of the stack with 'b', 'b', and 'b' when a 'b' is read from the input.(b, b, b, b) -> (1, b): This transition allows the PDA to replace the 'b', 'b', and 'b' on the top of the stack with '1' and 'b' when another 'b' is encountered.(1, b, b) -> (1, 1): This transition allows the PDA to replace the '1' and 'b' on the top of the stack with '1' and '1' when another 'b' is read from the input.(1, 1, z) -> (z, z): This transition allows the PDA to pop '1' from the stack without modifying the input.

Thus, the language accepted by this PDA is characterized by a sequence of 'a's followed by a sequence of 'b's, where the number of 'b's is three times the number of 'a's, and each 'b' is followed by a corresponding sequence of '90', '91', '92', 'a', 'b', 'b', 'b', '1', 'b', 'b', '1', and ending with '1'.

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Which of the following is a correct relationship between linear displacement and angular displacement?

Answers

Answer:

They both require displacement with respect to time

To win the game, a place kicker must kick a
football from a point 37 m (40.4632 yd) from
the goal, and the ball must clear the crossbar,
which is 3.05 m high. When kicked, the ball
leaves the ground with a speed of 21 m/s at
an angle of 35.8

from the horizontal.
The acceleration of gravity is 9.8 m/s
2
.
By how much vertical distance does the ball
clear the crossbar?
Answer in units of m.

Answers

We know that the vertical clearance of the crossbar by the ball is x=1.57m.

Clear the crossbar: What does that mean?

From a point 36.0 m from the goal, a place kicker must kick a football. The ball must clear the 3.05 m-high crossbar as a consequence of the kick. The ball kicks off the ground with a speed of 20.0 m/s at an angle of 53° from the horizontal.

v=18cos48 m/s

Time is therefore defined as distance multiplied by speed, which equals 28/18cos48 divided by 48, or 2.324

Use s = ut + (0.5)a(t2) when resolving vertically.

Where is the unidentified distance, s? (the height above the GROUND)

initials are u (vertical) 18 divided by 48 gives a speed of -9.8 meters per second (negative since we take upwards as positive)

t = 2.3247... (what we found previously) (what we found previously)

Adding the figures to the formula gives 4.616

Subtracting the goalpost's height (3.05) results in 1.57m above the crossbar, or 1.56.

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A stone is dropped from rest at a height of 2.0 m above the surface of a planet.
The planet has no atmosphere.
The speed of the stone just before reaching the surface of the planet is 3.8 m/s.
What is the acceleration of free fall on the planet?
A zero
B 1.9 m/s²
C 3.6 m/s²
D 7.2m/s² ​

Answers

The acceleration of free fall on the planet is 3.6 m/s^2. The correct answer is option C.

Let's assume that acceleration of free fall on the planet is a.

Potential energy of stone at height 2.0m is given be,

mah = 2ma

Kinetic energy of stone just before reaching the surface of the planet is,

Kinetic energy = mv^2/2

v= 3.8 m/s

Kinetic energy = 7.22m

By law of conservation of energy, Kinetic energy will be equal to Potential energy, and we get;

2ma = 7.22m

a = 3.6 m/s^2

Hence, the acceleration of free fall on the planet is is 3.6 m/s^2. Option C is the correct answer.

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Pls help me label. Anyone who answers will be marked brainiest

Pls help me label. Anyone who answers will be marked brainiest

Answers

Explanation:

what is it of? I maybe able to help.

A solid rectangular box with height 4 m and square base with side lengths 2 m is built using a lightweight material whose density is 700 kgm3. Constructing this box requires work against gravity: the required work is

Answers

The required work against gravity to construct a solid rectangular box with a height of 4m and square base with side lengths of 2m using lightweight material whose density is 700 kg/m³ can be determined through the following method:

work against gravity is 5.6 × 10³ J Formula: The weight of the object = m × g, where m = mass of the object and g = acceleration due to gravity.W = F × d, where W = work done, F = force applied, and d = distance traveled.A solid rectangular box has a height of 4m and a square base of 2m. Therefore, the volume of the box is V = 2m × 2m × 4m = 16 m³Given the density of the lightweight material is 700 kg/m³, then the mass of the box is:mass = density × volume = 700 kg/m³ × 16 m³ = 11200 kg

The weight of the box is:Weight = m × g = 11200 kg × 9.8 m/s² = 109760 NTo lift the box, a force equal to the weight of the box must be applied over a distance equal to the height of the box. Therefore, the work done is given by:W = F × d = Weight × height = 109760 N × 4 m = 439040 JHowever, the box is made of a lightweight material, therefore, the required work against gravity is less.

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3. Riddle:
I am black when you buy me, red when you use me and grey when you throw me away.
What am I?

Answers

Answer:

The answer is charcoal

Answer:

Charcoal

Explanation:

two bullets have masses of 0.004 kg and 0.008 kg, respectively. Both are fired with a speed of 60.0 m/s. which bullet has more kinetic energy?​

Answers

Answer:

eah

I don't believe in destiny

I just do what's best for me

Don't listen to my enemies

They're just full of jealousy

Duh

This legacy

You gon see what's left of me

You gon see success in me

You ain't seen the rest of me

I just wanna be the best at what I know

Better than the rest just watch me grow

Put me to the test and watch me go

This is my quest, I'ma make it known

They call me obsessive, oh I know

Call me selective with my notes

Call me agressive with my flow

Call me offensive even though

Explanation:

what did j. j. thomson discover about the cathode ray? what did j. j. thomson discover about the cathode ray? he discovered the mass of the electron. he discovered the charge of the electron. he discovered the existence of the atomic nucleus. he discovered the existence of electrons.

Answers

J.J. Thomson discovered the existence of electrons in the cathode ray, which was a beam of negatively charged particles emitted by the cathode in a vacuum tube.

Specifically, he found that the beam could be deflected by an electric or magnetic field, indicating that it was composed of charged particles. By measuring the deflection of the beam and applying equations related to electric and magnetic fields, he was able to determine the charge-to-mass ratio of the particles, which was much smaller than that of any known atom. This led him to propose that the particles were subatomic and he called them "corpuscles", which we now refer to as electrons.

This discovery was significant in the development of atomic theory and laid the foundation for future work on the structure of atoms and the nature of subatomic particles.

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Three resistors, 3.0 Ω, 12 Ω, and 4.0 Ω, are connected in parallel across a 6.0-V battery as shown above. What is the current through the battery?

Answers

Answer:

the current flowing through the battery is 4 A.

Explanation:

Given;

resistance of the three resistors in parallel, R₁, R₂ and R₃ = 3.0 Ω, 12 Ω, and 4.0 Ω

voltage of the battery, V = 6.0 V

The equivalent resistance is calculated as follows;

\(\frac{1}{R_T} = \frac{1}{R_1} + \frac{1}{R_2} + \frac{1}{R_3} \\\\\frac{1}{R_T} = \frac{1}{3} + \frac{1}{12} + \frac{1}{4} \\\\\frac{1}{R_T} = \frac{4 \ + \ 1 \ + \ 3}{12} \\\\\frac{1}{R_T} = \frac{8}{12} \\\\\frac{1}{R_T} = \frac{2}{3} \\\\R_T = \frac{3}{2} \\\\R_T = 1.5 \ ohms\)

The current flowing through the battery is calculated as follows;

\(I = \frac{V}{R_T} \\\\I = \frac{6}{1.5} \\\\I = 4 \ A\)

Therefore, the current flowing through the battery is 4 A.

Why does the moon appear to take on a colored hue during an eclipse?.

Answers

Answer: the Earths shadow

Explanation: Because the moons light supply is cut off. The earth is covering up part of the sun from getting on the moon so it cuts off the moons light supply.

Which form of emission is commonly not written in nuclear equations because they do not affect charges, atomic numbers, or mass numbers?

Answers

Answer:

Gamma radiation .

Explanation:

Three types of emission result at the time of nuclear emission .

alpha emission

Beta emission

Gamma radiation emission

Gamma radiation results in the emission of gamma ray . This is a very high frequency radiation . It is not a particle having charge and mass like alpha and beta emission . So it has no effect on the mass and charge of the product that is formed after gamma radiation . The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product . It causes negligible change in the mass of the product and no change in the charge of the product.

That is why , generally this product is not written in the nuclear reaction .

Answer:

The answer is Gamma ray

Explanation:

Because this is a very high frequency radiation, is not a particle having charge and mass like alpha and beta emission, so it has no effect on the mass and charge of the product that is formed after gamma radiation. The only effect it has on the product is that it reduces the kinetic energy of the emitting particles or it reduces the internal energy of the product, it causes negligible change in the mass of the product and no change in the charge of the product.

Quả bóng 200g chuyển động với v 4m/s đập vào tường rồi bật ra ngược chiều với cùng tốc độ độ biến thiên động lượng của quả bóng là

Answers

bièn shhddkjn usb’s svyevtec tectev ev

A kid pushes a stationary
merry-go-round, creating an
acceleration of 0.135 rad/s^2.
How much time does it take the
merry-go-round to complete
2.00 rotations?
(Unit = s)
Remember: CCW is +, CW is. 1 rev= 2*pi rad

Answers

The merry-go-round takes approximately 29.41 seconds to complete 2.00 rotations.

Given data:

Acceleration (α) = 0.135 rad/\(s^2\)

Number of rotations (θ) = 2.00

To find the time taken (t) for 2.00 rotations, we need to use the formula:

θ = 0.5 * α * \(t^2\)

Rearranging the formula, we get:

\(t^2\) = (2 * θ) / α

Plugging in the given values, we have:

\(t^2\) = (2 * 2.00) / 0.135

\(t^2\) = 29.63

Taking the square root of both sides, we find:

t ≈ √29.63

t ≈ 5.439

Therefore, the time taken for the merry-go-round to complete 2.00 rotations is approximately 5.439 seconds.

Note: It's important to round the final answer to an appropriate number of significant figures, considering the given data. In this case, we have used four significant figures in the final answer.

However, if we want to adhere to the given significant figures in the acceleration (0.135 rad/\(s^2\)), the answer should be rounded to three significant figures. In that case, the final answer would be approximately 5.44 seconds.

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More potential energy can be stored by moving against the magnetic force closer to a magnet?

Answers

Answer:

if your saying can it? then yes or if you are asking what type of magnetic force  then its fr its actual self magnetic force

Explanation:

To practice Problem-Solving Strategy 7.1 Rotational dynamics problems.
Suppose that you are holding a pencil balanced on its point. If you release the pencil and it begins to fall, what will be the angular acceleration when it has an angle of 10.0 degreesfrom the vertical?
Sort the forces as producing a torque of positive, negative, or zero magnitude about the rotational axis identified in Part A. Keep in mind that counterclockwise rotations are positive.

Answers

Problem-Solving Strategy 7.1: Rotational Dynamics Problems Rotational dynamics is the study of rotational motion, which is movement about an axis or a pivot point. We'll look at a few sample problems that illustrate the procedure to approach and resolve rotational dynamics problems in this article. The below diagram depicts the scenario given: At an angle of 10 degrees, the pencil starts to fall. We need to determine the angular acceleration. The given problem does not provide the mass, length or other physical quantities of the pencil. Therefore, we assume that the pencil is a point mass with a negligible size. The torque equation is used to solve rotational motion issues.

It is given as follows: τ = Iα where τ is torque, I is moment of inertia and α is angular acceleration. Let's use this equation to solve the problem. Ignoring air resistance, the only force acting on the pencil is the gravitational force, which acts on the center of mass of the pencil. The gravitational force can be broken down into two components, mgcosθ and mgsinθ, where m is mass, g is acceleration due to gravity, θ is the angle of the pencil with respect to the vertical axis. Let's determine the direction of torque produced by these forces.(i) mgcosθ is acting on the center of mass of the pencil. As it is acting along the vertical line passing through the pivot point, the torque produced is zero.(ii) mgsinθ is acting at a perpendicular distance r from the pivot point.

The direction of torque produced by this force is counterclockwise, hence, positive magnitude. To find the angular acceleration, let's use the torque equation.τ = Iα= F  = mr²α (Moment of inertia of point mass)α = τ / Iα = mgsinθ * r / (mr²)α = gsinθ / r Let's insert the values. g = 9.8 m/s²θ = 10.0°r = length of the pencil = unknown Here, the length of the pencil is unknown. If we take r as the length of the pencil and find the value of angular acceleration, it will be true only for this angle (10.0 degrees) because torque, and hence, angular acceleration, varies with respect to the length of the pencil. It will not be true for other angles. The relationship between the angle and the length of the pencil is given by the trigonometric function sinθ = r / L.α = gsinθ / rα = g / Lα = 9.8 / L radians/s²The angular acceleration is inversely proportional to the length of the pencil. This implies that the shorter the length of the pencil, the greater the angular acceleration and the longer the length of the pencil, the smaller the angular acceleration. Therefore, when we try to balance the pencil for a longer time, we need to use a smaller angular acceleration, so we need to keep the pencil vertical.

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Compile and share a list of "highly applicable tips" (8-10
points) related to organizational behavior and leadership. To
format your points properly, position yourself as a management
consultant who i

Answers

Each organization is unique, so tailor these tips to fit your specific context and needs. As a management consultant, I recommend assessing your organization's current state and identifying areas for improvement to implement these tips effectively.

As a management consultant, here is a compiled list of highly applicable tips related to organizational behavior and leadership:

1. Foster a positive organizational culture: Create a work environment that values collaboration, open communication, and employee well-being. Encourage a culture of respect, trust, and support.

2. Lead by example: As a leader, set a positive example through your actions and behaviors. Demonstrate the values and behaviors you expect from your team members.

3. Effective communication: Communication is crucial for building strong relationships and ensuring clarity. Practice active listening, provide constructive feedback, and encourage open and honest communication channels within the organization.

4. Empower and delegate: Trust your team members and empower them to take ownership of their work. Delegate tasks effectively, matching responsibilities with individuals' strengths and skills.

5. Encourage innovation and creativity: Foster an environment that encourages new ideas, creativity, and innovation. Provide opportunities for employees to contribute their ideas and reward innovative thinking.

6. Develop and support talent: Invest in employee development and provide opportunities for growth and learning. Offer training programs, mentorship, and coaching to help employees reach their full potential.

7. Build strong teams: Focus on building cohesive and high-performing teams. Foster collaboration, encourage diversity of thought, and promote teamwork to achieve collective goals.

8. Embrace change and adaptability: Organizational success often relies on the ability to adapt to changing circumstances. Encourage a mindset of flexibility, adaptability, and continuous improvement.

9. Practice ethical leadership: Uphold high ethical standards and lead with integrity. Make ethical decisions, promote fairness, and hold yourself and others accountable for ethical conduct.

10. Recognize and appreciate employees: Acknowledge and appreciate the contributions of your team members. Celebrate achievements, provide recognition, and offer rewards and incentives to motivate and retain talent.

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I need help guysss , how can I get a Tutor on here

Answers

Answer:

it would say ask and see the tutor

Answer:

You type out your question and it should ask you where you want to post it. You choices are tutor or community. Choose community.

Explanation:

I just did it and it worked. Good luck

The study of electrons as it relates to their use in electric devices

Answers

Answer:

An electron is a component of the broader term, electricity. Generally electricity refers to the control, manipulation, and use of the movement of electrons to perform some kind of work (motion/rotation, light, heat, etc…).

Explanation:

Or

put this

The study of electrons as it relates to their use in electric devices is electricity.

But I will go with the first one

A car starts from rest on a curve with a radius of 130m and tangential acceleration of 1.3m/s2 .Through what angle will the car have traveled when the magnitude of its total acceleration is 2.2m/s2 ?

Answers

A car starts to rest on a bend with a radius of 130 m and a tangential acceleration of 1.3. When the total acceleration of the car is 2.0m/s2, the car will move through an angle of 22.5°.

The turning radius is the distance required by the car to turn or turn around. Because of this, calculations are made from the moment the car makes a turn until it rotates in a semicircle or 180 degrees. Then, the distance from the diameter will be measured and used as the turning radius of the vehicle.

Radial acceleration (a') = √2² - √1.3²

Radial acceleration (a') = √4 - √1.69

Radial acceleration (a') = √2.31

Radial acceleration (a') = 1.5 m/s²

v = \(\sqrt{a' . r}\)

v = \(\sqrt{1.5 x 130}\)

v = \(\sqrt{195}\)

v = 14 m/s

Now,

d = v²/2a'

d = 14²/2(1.5)

d = 154/3

d = 51.3 m

Expression for circle central angular is:

θ = d/r

θ = 51.3/130

θ = 0.394 rad

θ = 22.5°

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An inductor has a 46.0 reactance at 60.0 hz. what will be the maximum current if this inductor is connected to a 50.0 hz source that produces a 105 v rms voltage?

Answers

The maximum current if this inductor is connected to a 50.0 hertz source that produces a 105 v rms voltage is 3.87A

X= ωl

where,

X is inductive reactance

ω is thee angular  frequency

L is the inductance

therefore,

46= 2π60.L                   eq-1

and

X° is inductive reactance when 50 hz source is used

X°=2π50.L                    eq-2

dividing eq 2 by eq 1 we get

X°=38.33 Ω

maximum current (I°) = maximum voltage divided by  inductive reactance

I°=√2Vrms/38.33

I°=3.87A

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write each number in scientific notation 1) 660000 2) 0.00365 3)0.009 4) 810 which are the smallest and biggest Provence of Nepal Find the producer surplus for the supply curve at the given sales level, X. p=3 - X; X = 0 a. $1 b. $2.30 c. $0 d. $1.75 Find the producer surplus for the supply curve at the given sales level, X. P = 4-3X;X = 1 a. $0.75 b. $1.50 c. $1 d. $1.33 Which of these pairs of functions are inverse functions? Which is an example of a keyword?an implied messagea vague cluea vocabulary terma highlighted phrase Suppose we see an exoplanet dim the light of a distant star by 1%. If the star has a diameter of 1. 4 million km, what is the approximate diameter of this planet?. Someone answer for angle 1 pls In HMIS, Properly describe the hospital triage evaluate the double integral. 6y 4x5 + 1 da, d = {(x, y) | 0 x 1, 0 y x2} d About three-fourths Mexico's electricity is generated by oil and natural gas.TrueFalse Which plant-cell organelle supports and maintains the cell's shape and protects the cell from damage? cell membrane cell wall chloroplast vacuole PLZ HELPCHECK ALL THAT APPLYAn athlete who trains using plyometrics will develop the skills in _____.bouncing before a servea fast, powerful movementa pliable mindset, allowing him or her to strategize quicklymuscles that pre-stretch before jumpingmeasuring the distance between the ball and goal Please help I don't understand! Can you help me please I can't understand this problem, I have tried everything. dont skip this is like my 5th time asking this question Need help ASAP and pls hurry bc if you do i will give ten pts+brainliestChallenge B: People and the LandBackground: Throughout history, the land has shaped the lives of people living on it. Mountains, valleys, rivers, coasts, and climate all affect where and how people live. At the same time, people have changed and used the land for their own needs.Challenge: Describe the many different ways that the land was critical to the development of civilization in Mesopotamia. (2 paragraphs)Tips: You could consider its location, climate, water, and soil, as well as natural barriers that surrounded it. For each feature you describe, explain how it helped civilizations to grow. In a discount clothing store, all sweaters are sold at one fixed price and all shirts are sold at another fixed price. If onesweater and four shirts cost $45, while four sweaters and three shirts cost $76, find the price of one sweater and the price of one shirt.The price of one sweater is $__and the price of one shirt is $__(Simplify) General morphology of the crab (Portunus pelagicus)Describe in detail in words the morphology of the crab; for example, features of the malacostracan form, features of the decapod form, features of crabs, dorsoventral flatenning, carapace fused venterally, features of swimming crabs (Portunidae) (see Swimming crabs (Portunidae) on the Shores of Singapore)... and other features, eyes, features of legs, length, have a claw, the cheliped (first large leg)... and so on. You can use external source material to get the correct technical names, but make sure you write down what you read in you own words. You kicked a ball on a level surface at 30 and 45 with the same total speed as shown below.45 30Which launch angle causes the ball to travel further horizontally before hitting the ground? How will the new election bill affect elections in Georgia? Need some help with trinomial