A box is being pulled to the right. What is the direction of the gravitational force?
up
down
Oright
left

Answers

Answer 1

Answer:

The correct answer would be downwards

Hope this helps have a good day

Answer 2

Final answer:

The gravitational force on a box being pulled to the right is downward towards the Earth's center.

Explanation:

The direction of the gravitational force on a box being pulled to the right is downward towards the Earth's center. This is because gravitational force is a vector that points downwards, regardless of any horizontal movement or force applied to an object. The gravitational force can be calculated using the equation F = mg, where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity, which is approximately 9.81 m/s² near the Earth's surface. Therefore, even when the box moves to the right, the gravitational force only acts downward.


Related Questions

In the periodic table of elements, what do all of the elements in group 2 have in common?

Answers

Answer:

The correct answer is chemical properties.

Explanation:

In a group, the chemical properties are very similar, because all the elements of the group have the same number of electrons in their last or last layers. The electronic configuration of its last layer is the same, varying only the period of the element. Alkaline earth metals are harder than alkaline metals, have brightness and are good electrical conductors; less reactive than alkalines, good reducing agents and form ionic compounds.

Have a nice day!

Kepler's third law relates the period of a planet
to its orbital radius r, the constant G in Newton's law of gravi-
tation (F = Gm1m2/r^2), and the mass of the sun M.. What com-
bination of these factors gives the correct dimensions for the
period of a planet?​

Answers

Answer:

√(r³ / (MG))

Explanation:

The dimensions of each variable are:

r = [m]

G = [m³/kg/s²]

M = [kg]

Multiplying M and G eliminates kilograms:

MG = [m³/s²]

The radius cubed divided by MG eliminates meters:

r³ / (MG) = [s²]

The square root gives us seconds:

√(r³ / (MG)) = [s]

Kepler's third law relates the time  period of a planet to its orbital radius r, the gravitational constant G  and the mass of the sun M, the combination of these factors gives the correct dimensions for the period of a planet would be √( 4πr³/GM)

What are Kepler's laws of planetary motion?

There are three laws of Kepler as follows

The orbit of the planet is elliptical and the sun is present at one of the two focuses of the elliptical path followed by the revolving planet.

A line segment joining a planet and the Sun covers equal areas during equal intervals of the time period.

The square of a planet's orbital period is proportional to the cube of the length of the semi-major axis of its elliptical orbit.

Think about a small mass M traveling in a circle around a large mass M. The centripetal force for mass m comes from gravity. Taking circular motion as an example and applying Newton's second law,

gravitational force balances the centripetal force

GMm/r²  = mv²/r

GM/r = v²/r

Let us take a Time period of the orbital is P

v = 2πr/P

GM/r = 4πr²/P²

P² = 4πr³/GM

P = √( 4πr³/GM)

Thus the correct dimension for the time period in terms of the orbital radius (r), gravitational constant (G ), and the mass of the sun (M) would be √( 4πr³/GM).

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I give a ball a push on an acclivity. The "start velocity" is on 7m/s. The time it took the ball to get back to me was 10 seconds. The acceleration is a constant. How much is the acceleration?

Answers

Answer:

7÷10

Explanation:

initial velocity=7m/s

final velocity=0m/s

Answer:

-1.4 m/s²

Explanation:

The initial velocity is 7 m/s.  When the ball rolls back, its velocity is -7 m/s.

Acceleration is change in velocity over change in time.

a = Δv / Δt

a = (-7 m/s − 7 m/s) / 10 s

a = -1.4 m/s²

An astronaut on spacewalk floats a little to far from space station without air to push against he can’t paddle back however he is holding a hammer explain how he could use the hammer to get him back to space station l

Answers

Answer:

The astronaut can throw the hammer in a direction away from the space station. While he is holding the hammer, the total momentum of the astronaut and hammer is 0 kg • m/s. According to the law of conservation of momentum, the total momentum after he throws the hammer must still be 0 kg • m/s. In order for momentum to be conserved, the astronaut will have to move in the opposite direction of the hammer, which will be toward the space station.

Explanation:found this as a verified answer on here

Answer:

He can throw the hammer in the direction opposite to the direction he wants to travel in. The hammer will exert an equal and opposite force on him, as per Newton's third law, and this will help him move towards the space station

Explane

above

How are the input and output forces of the parts of a compound machine related?

Answers

Answer:

Within a compound machine, the output force of one simple machine becomes the input force of another simple machine.

Gravitational pull is determined by
-the sun and stars
-acceleration and volume
-volume and mass
-mass and distance​

Answers

Answer:

The gravitational pull is determined by the mass and distance.

Explanation:

According to Newton's law of universal gravitation

[tex]F = G\frac{m1.m2}{r^{2} }[/tex]

where F is the gravitational pull, G is gravitational constant, m₁ and m₂ are masses of bodies and r is the distance between them.

It can be seen from the above equation that F is directly proportional to the product of the masses and inversely proportional to the square of distance between them.

                      F ∝ m₁m₂

                      F ∝ 1/r²

A hockey puck slides across the ice with an initial velocity of 7.2 m/s. It has a deceleration of 1.1 m/s2 and is traveling toward the goal 5.0 m away. How much time does the goalie have to stop the puck​

Answers

Answer:

0.74 s

Explanation:

We can solve the problem by using the following SUVAT equation:

[tex]d = ut + \frac{1}{2}at^2[/tex]

where

d = 5.0 m is the displacement

u = 7.2 m/s is the initial velocity

a = -1.1 m/s^2 is the acceleration (which is negative since it is a deceleration)

t is the time

Substituting numbers into the equation, we find:

[tex]5.0 = 7.2 t -0.55t^2\\0.55t^2 -7.2t + 5.0 = 0[/tex]

This is a second-order equation, whose solutions are given by:

[tex]t=\frac{-(-7.2) \pm \sqrt{(-7.2)^2-4(0.55)(5.0)}}{2(0.55)}[/tex]

And the solutions are

t = 0.74 s

t = 12.36 s

The solution we are looking for is the first one, because it corresponds to the first time at which the hockey puck has travelled the distance of 5.0 m, reaching the goal.

Final answer:

The goalie has approximately 6.55 seconds to stop the hockey puck. This is calculated using the motion equation v = u + at, taking into account that the puck is decelerating.

Explanation:

This is a question of physics, specifically dealing with the concept of motion and deceleration. We use the equation of motion that relates final velocity (v), initial velocity (u), acceleration (a), and time (t): v = u + at. However, since the puck is decelerating, we are actually dealing with a negative acceleration.
Therefore, the equation becomes final velocity (0 m/s because it will eventually stop sliding) = initial velocity (7.2 m/s given) + acceleration (-1.1 m/s²) * time.
By rearranging this equation we can solve for time (t): t = (final velocity - initial velocity) / acceleration. So it then becomes t = (0 - 7.2) / -1.1. Solving this yields a time of approximately 6.55 seconds for the puck to stop.

Note: The distance to the goal does not play a role in the time it takes for the puck to stop sliding because the puck's motion is determined by its initial velocity and deceleration, not its destination.

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(oof already know the answer but at less yall answer so i can add a brainliest) Is this true or false? Think about the differences between climate and weather and complete the following sentence:The short-term, constantly changing state of the air in an area is known as weather, while the conditions of an area over a long period of time is known as climate.

Answers

Answer:

True, the statement is correct

Answer:

True

Explanation:

Weather: It is the atmospheric condition for a small area over a short span of time. For example: cloudy weather. If one place is witnessing this condition it may or may not be same for all the places.

Climate: It refers to the atmospheric condition of an area over a long period of time for say a decade or a century. For example: the climate of the polar region is changing drastically and resulting in the reduction of glacial ice.

pls how to solve this problem. help would be appreciated ​

Answers

Answer:

80 m/s

Explanation:

Given:

a = -5 m/s²

v = 0 m/s

Δx = 640 m

Find: v₀

v² = v₀² + 2a(x − x₀)

(0 m/s)² = v₀² + 2(-5 m/s²) (640 m)

v₀ = 80 m/s

significant digits show the _____ of measurements and calculations.

1) accuracy
2) precision

Answers

Significant digits show the precision of measurements and calculations

A right triangle with the base labeled 40 meters and the height labeled 30 meters. The hypotenuse is a dotted arrow labeled R. What is the magnitude of the resultant vector? 10 meters 50 meters 1200 meters 2500 meters

Answers

Answer:

The magnitude of the resultant vector R is 50 meters ⇒ 2nd answer

Explanation:

The resultant vector is the vector sum of two or more vectors

If the two vectors perpendicular to each other, then the magnitude of

the resultant vector is the square root of the sum of their squares

If x and y are two vectors perpendicular to each other, then the

magnitude of its resultant vector R is:

→ [tex]R=\sqrt{x^{2}+y^{2}}[/tex]

Lets solve the problem

A right triangle with the base labeled 40 meters and the height labeled

30 meters

The hypotenuse is a dotted arrow labeled R

→ The base and the height of the right triangle are perpendicular

→ The hypotenuse is the resultant vector of them

Assume that x represents the base of the triangle and y represents the

height of it

By using the rule above

→ x = 40 m , y = 30 m

→ [tex]R=\sqrt{x^{2}+y^{2}}[/tex]

→ [tex]R=\sqrt{(40)^{2}+(30)^{2}}[/tex]

→ [tex]R=\sqrt{1600+900}[/tex]

→ [tex]R=\sqrt{2500}=50[/tex]

The magnitude of the resultant vector R is 50 meters

wavelength if the wave​

Answers

Answer:

A what? Is this even a question?

Explanation:

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can you help me??????????????????????????)?

Answers

Answer:

Velocity is a change in displacement over change in time and uses the units m/s.

Both are rates of change and can be positive or negative.

Acceleration is a change in velocity over change in time and uses the units m/s².

Explanation:

Velocity is the change in displacement over change in time, this makes it a rate of change. It can be positive or negative because it is a vector quantity. It uses the units m/s because that is a displacement unit over a time unit.

Acceleration is the change in velocity over change in time, this makes it a rate of change. It can be positive or negative because it is also a vector quantity. It uses the units m/s² (m/s/s) because that is a velocity unit over a time unit.

A bulldozer does 4,500 J of work to push a mound of soil to the top of a ramp that is 15 m high. The ramp is at an
angle of 35° to the ground. How much force did the bulldozer apply to the mound of soil? Round your answer to two
significant figures.



Its 520 N

Answers

Answer:

520 N

Explanation:

Work is the dot product of the force vector and displacement vector.

W = F · x

This means it is the product of the magnitudes of the vectors and the cosine of the angle between them.

W = F x cos θ

The displacement of the soil is 15 m up.  The force is parallel to the ramp.  So the angle between the vectors is 90° − 35° = 55°.

Plugging in the values and solving for F:

4500 J = F (15 m) (cos 55°)

F = 523 N

Rounded to two significant figures, the force is 520 N.

which system of government has a leader that takes power by force

Answers

Answer:

The Autocratic system of governance

Explanation:

This is because,in Autocratic system of governance decision making is done by only individual. And his/her decision is final.

Answer:

The Autocratic system of governance

Explanation:

what is the best description of a wave

Answers


Wave involves transmission of energy from one point to another through a materials medium. ... Mechanical waves transfers energy through the vibration of particles of the medium through which the wave travels, while electromagnetic waves transfer energy through the vibration of electric or magnetic fields
Final answer:

A wave is a disturbance that travels through space and matter, characterized by its wavelength, frequency, and amplitude.

Explanation:

A wave is a disturbance or oscillation that travels through space and matter, transferring energy from one place to another. Waves are characterized by three main features: wavelength, frequency, and amplitude. The wavelength is the distance between two identical points on successive waves. The frequency refers to the number of wave cycles that occur in a second. The amplitude is a measure of the wave's height from the rest position.

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Bernoulli’s principle states that fluid velocity decreases when flow is restricted. True False

Answers

True. The given statement is true

a granite monument has a volume of 25,365.4 cm3. The density of granite is 2.7 g/cm3. Use this information to calculate the mass of the monument to the nearest tenth.



The mass of the granite monument is
g.

Answers

Answer:

The mass of the monument (to the nearest tenth)  where volume of the granite monuments is  [tex]25,365.4 \mathrm{cm}^{3}[/tex] and density of the granite is  [tex]2.7 g / \mathrm{cm}^{3}[/tex] is  68,486.6 g          

 Explanation:  

Given:

Volume of the granite monument, p[tex]=25,365.4 \mathrm{cm}^{3}[/tex]

density of granite, [tex]V=2.7 \mathrm{g} / \mathrm{cm} 3[/tex]

To find:

The mass of the monument to the nearest tenth= ?

Solution:

Step 1:

mass of the monument ,[tex]m=p V \text { grams }[/tex]

step 2:

[tex]m=p V[/tex]

substituting the values,

m[tex]=(25,365.4)(2.7)[/tex]

m[tex] =68,486.58 g[/tex]

m [tex]= 68,486.6 g[/tex]           (rounding off to nearest tenth)

Result :

The mass of the monument (to the nearest tenth) where volume of the granite monuments is  [tex]25,365.4 \mathrm{cm}^{3}[/tex] and density of the granite is [tex]2.7 \mathrm{g} / \mathrm{cm}^{3}[/tex] is 68,486.6 g.           

The mass of the granite monument is 68,486.58 g  which has a volume of [tex]25364.4 cm^{3}[/tex] and density of [tex]2.7 gcm^{-3}[/tex].

Given data:

To calculate the mass of the granite monument, we can use the formula:

mass = density * volume

Given that the density of granite is [tex]2.7g cm^{-3}[/tex] and the volume of the monument is [tex]25364.4 cm^{3}[/tex]

we can substitute these values into the formula:

mass = 2.7  * 25,365.4 

Calculating the mass:

mass = 68,486.58 g

To express the mass in kilograms, we can divide by 1000 (since there are 1000 grams in a kilogram):

mass = 68,486.58 g / 1000 kg

Calculating the mass in kilograms:

mass = 68.48 kg

Hence, the mass of the granite monument is approximately 68.57 kg, rounded to the nearest tenth.

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How are energy of motion and speed are related to each other?

Answers

The energy transferred is known as kinetic energy, and it depends on the mass and speed achieved. Kinetic energy can be transferred between objects and transformed into other kinds of energy.

Which of the following is a way that microwaves and x-rays are similar?
A. They both have technological uses.
B. They are both high energy waves,
C. They are both to be exposed to at high doses.
D. They are both used to transmit information.
(I’m between A and B)

Answers

Answer:

A

Explanation:

In my opinion I'm pretty sure it's A because WE DO use microwaves and x-rays as techonological uses.

Answer:

A

Explanation:

3. Order the following lengths from shortest to longest.
a. 400 millimeters
b. 22 kilometers
c. 170 meters
d. 3.3 centimeters

Answers

Answer: [tex]d < a < c < b[/tex]

[tex]3.3 cm < 400 mm < 170 m < 22 km[/tex]

Explanation:

Firstly, let's convert these length to meters [tex]m[/tex], in order to work with the same units:

a. 400 millimeters

[tex]400 mm \frac{1m}{1000 mm}=0.4 m[/tex]

b. 22 kilometers

[tex]22 km \frac{1000m}{1 km}=22000 m[/tex]

c. 170 meters

Here the lenght is already in meters

d. 3.3 centimeters

[tex]3.3 cm \frac{1m}{100 cm}=0.033 m[/tex]

Now that we have all the lengths in meters, we can order them from shortest to longest:

[tex]0.033 m < 0.4 m < 170 m < 22000 m[/tex]

or

[tex]d < a < c < b[/tex]

At summer camp, the swimming course runs the length (L) of a small lake. To determine the length of the course, the camp counselors measure the two "dry" legs of a right triangle. What is the length in meters of the swimming course in the figure below? A right triangle overlaps a lake. It has sides 25 and 40 meters. Hypotenuse labeled L goes through the lake.

Answers

Answer:

The length of the swimming course is 47.16 meters.

Explanation:

It is given that the right triangle overlaps the lake and hypotenuse L runs through the length of the lake. Thus length of the lake will be the length of this hypotenuse.

The instructors have conducted measurements of the right triangle and has found the legs to be 25 and 40 meters. The sum of squares of base and height of  a right triangle gives the value of its hypotenuse according to Pythagoras theorem.

Thus [tex]h^2+b^2=H^2[/tex]

b - base

h - height.

[tex]40^2+25^2=1600+625=2225[/tex]

[tex]H=\sqrt{2225}=47.16 m[/tex]

how much force would be needed to move a car with the mass of 100kg to an acceleration of 5m/s/s?​

Answers

Answer:

500 newton force is needed to move a car of mass 100kg to an acceleration of 5m/s/s.

Explanation:

As we know from Newton's second law of motion that force= F = m×a

=> F = 100 × 5 = 500 N

Which of the following do you calculate
when you divide the total distance trav-
eled by the total travel time?​

Answers

dividing distance by time gives you speed

Anna heated 15 g of Substance A to obtain 5 g of Substance B, 4 g of Substance C, and a certain amount of Substance D. Which statement is correct?

The mass of Substance D was 10 g less than the mass of Substance A.
The mass of Substance D was 1 g greater than the mass of Substance B.
The mass of Substance A was equal to the total mass of Substance C and Substance D.
The mass of Substance A was equal to the total mass of Substance B and Substance D.

Answers

Answer:

The mass of Substance D was 1 g greater than the mass of Substance B.

Explanation:

15 g of A → 5 g of B + 4 g of C + x g of D

From the law of conservation of mass, Mass of D should be x = (15 - 5 - 4 ) g = 6 g

This is 1 g more than the mass of B and 2 g more than mass of C.

Thus, correct option is The mass of Substance D was 1 g greater than the mass of Substance B.

Classify the waves as being mechanical or electromagnetic. microwave ocean wave seismic wave radio wave

Answers

Answer:

Micro waves and radio waves are electromagnetic waves while ocean wave  and seismic wave are mechanical waves.

Explanation:

Electromagnetic waves do not require a medium for propagation. They can travel along vacuum just like they travel through matter.

Further examples of electromagnetic waves are x rays, infrared waves etc.

Spectrum of electromagnetic waves in the increasing order of frequency is radio waves, microwaves, infrared waves, visible light, ultraviolet, x ray, gamma ray.

Mechanical waves require a medium for propagation. Thus they cannot travel through a vacuum.

Sound wave is an example of mechanical wave.

Final answer:

Microwaves and radio waves are electromagnetic waves that do not require a medium to travel, whereas ocean waves and seismic waves are mechanical waves that require a medium for their propagation.

Explanation:

Waves can be broadly classified into two categories: mechanical waves and electromagnetic waves. This classification is based on whether the waves require a medium to travel through or not.

Microwave and radio wave are types of electromagnetic waves. These waves do not require a medium to travel and can move through the vacuum of space. Examples of electromagnetic waves include light, radio waves, and X-rays.Ocean wave and seismic wave are categorized as mechanical waves. They require a medium (such as water, air, or the Earth's interior) to travel. Ocean waves move through water, while seismic waves travel through the Earth's crust.

To summarize, microwaves and radio waves are electromagnetic in nature, capable of traveling through a vacuum, whereas ocean waves and seismic waves are mechanical, needing a medium to propagate.

Can someone please tell me how to solve these question below.

16. A man stands on top of a 25 m tall cliff. The man throws a rock upwards at a 25 degree angle above the horizontal with an initial velocity of 7.2 m/s. What will be the vertical position of the rock at t = 2 seconds? What will be the horizontal position of the rock at that time?

Answers

Answer:

Vertical position of the rock after 2 seconds = 11.46 m

Horizontal position of the rock after 2 seconds = 13.06 m

Explanation:

Initial height = 25 m

Angle of throw = 25 degrees

Velocity of throw = 7.2 m/s

Horizontal velocity of throw = 7.2 cos 25 = 6.53 m/s

Vertical velocity of throw = 7.2 sin 25 = 3.04 m/s

Acceleration in horizontal direction = 0 m/s²

Acceleration in vertical direction = -9.8 m/s²

Vertical position of the rock at t = 2 seconds

We have equation of motion s = ut + 0.5at²

                                     s = 3.04 x 2 - 0.5 x 9.81 x 2²

                                     s = -13.54 m

Vertical position = 25 - 13.54 = 11.46 m

Horizontal position of the rock at t = 2 seconds

We have equation of motion s = ut + 0.5at²

                                     s = 6.53 x 2 + 0.5 x 0 x 2²

                                     s = 13.06 m

Horizontal position = 13.06 m

Vertical position of the rock after 2 seconds = 11.46 m

Horizontal position of the rock after 2 seconds = 13.06 m

When you are running, there is friction between your feet and the ground and
air resistance between your body and the air. Where does the extra energy
that keeps you moving come from?
OA) kinetic energy
OB) chemical potential energy
OC) potential energy of springs
OD) gravitational potential energy

Answers

Answer:

B) chemical potential energy

Explanation:

Your body uses chemical energy from the food you eat to power your motion.

How are light and sound waves affected by the different media they travel though?

Answers

Sound waves need to travel through a medium such as solids, liquids and gases. The sound waves move through each of these mediums by vibrating the molecules in the matter. The molecules in solids are packed very tightly. Liquids are not packed as tightly. And gases are very loosely packed. This enables sound to travel much faster through a solid than a gas. Sound travels about four times faster and farther in water than it does in air.

Light waves do not require a medium to travel. This is how light can travel through space and we can see stars. Light waves travel at a much higher velocity as compared to sound waves. The velocity of light waves (through a vacuum) is 3 xx 10^8 m/s. In comparison, the velocity of sound waves (in air) is about 343 m/s. Different frequencies of light waves give rise to different colors. On the other hand, different frequencies of sound waves result in different pitches. Light waves and sound waves have very different frequencies from each other. Sound waves have low frequencies (20 to 20,000 Hz) as compared to light waves (~ 10^14 Hz).

Final answer:

Sound waves, as mechanical waves, need a medium to travel and are affected by its properties, while light waves, which are electromagnetic, can travel through a vacuum. When light travels through media of different densities, it experiences changes in speed, leading to refraction and reflection, changing brightness and color perception.

Explanation:

Light and sound waves are fundamentally different in how they interact with various media they travel through. Sound waves are mechanical waves meaning they require a medium like air, liquid, or solid to travel. The density and elasticity of these media affect the speed and quality of sound, with denser media generally allowing faster sound transmission. Also, movements in the medium, such as wind, can also influence the speed and direction of sound waves.

On the other hand, light waves, being electromagnetic waves, do not require a medium and can travel through a vacuum. However, when they pass through different media, their speed can vary. In denser media, light waves slow down which can lead to phenomena such as refraction (bending of the light) or reflection. The changes in speed and direction make light interact with objects differently, often affecting the brightness and color as perceived by the observer.

3. A car drives horizontally off of a cliff that is 40 meters tall and lands 65 meters from the base of
the cliff. What was the initial velocity of the car?

Answers

Answer:

23 m/s

Explanation:

First, find the time it takes for the car to fall 40 meters.

y = y₀ + v₀ t + ½ at²

0 = 40 + (0) t + ½ (-9.8) t²

0 = 40 − 4.9 t²

t = 2.89 s

Next, find the velocity needed to travel 65 meters in that time.

x = x₀ + v₀ t + ½ at²

65 = 0 + v₀ (2.89) + ½ (0) (2.89)²

v₀ = 22.75 m/s

Rounding to two significant figures, the car's initial speed was 23 m/s.

Other Questions
In a recent year, 17.7% of household watched the finals of a popular reality series. There are 110.2 million households in the United States. How many households watched the finals? This is Find the percent of a number. 3. Your car gets 30 mpg on the highway. If gas costs $4.20 pergallon, how much does it cost to drive your car per mile? The lighting needs of a storage room are being met by six fluorescent light fixtures, each fixture containing four lamps rated at 60 W each. All the lamps are on during operating hours of the facility, which is 6 a.m. to 6 p.m., 365 days a year. The storage room is actually used for an average of 3 h a day. If the price of electricity is $0.11/kWh, determine the amount of energy and money that will be saved as a result of installing motion sensors. Also, determine the simple payback period if the purchase price of the sensor is $32 and it takes 1 h to install it at a cost of $66. what is a text feature for a country Why does Piggy not believe in the beast, in the novel "Lord of the Flies?" How does a molecule form? based on the details im the excerpt what is the primary purpose of this passage If the pediatric dosage of chlorothiazide (DIURIL) is 10 to 20mg/kg of body weight per day in a single dose or two divided doses,not to exceed 375 mg/day, calculate the daily dosage range of anoral suspension containing 250 mg chlorothiazide per 5 mL thatshould be administered to a 48-lb child. A manufacturer has a monthly fixed cost of $110,000 and a production cost of $14 for each unit produced. The product sells for $20 per unit.(a) What is the cost function?C(x) =(b) What is the revenue function?R(x) =(c) What is the profit function?P(x) =(d) Compute the profit or loss corresponding to a production level of 12,000 and 23,000 units. (Input a negative value to indicate a loss.)at 12,000 units $ ______at 23,000 units $______ Convert each of the following to three significant figures: (a) 20 lb.ft to N.m, (b) 450 Ib/ft^3 to kN/m^3, and (c) 15 ft/h to mm/s. Actual fixed overhead for Kapok Company during March was $92,780. The flexible budget for fixed overheadthis period is $89,000 based on a production level of 5,000 units. If the company actually produced 4,200 units what is the fixed overhead volume variance for March?A. $ 3,780 favorable.B. $18,020 unfavorable.C. $14,240 unfavorable.D. $ 3,780 unfavorable.E. $14,240 favorable. A good rule of thumb in hazardous conditions is to?A. Speed up and get off the road quicker.B.counter steer your way to your destination, so you maintain control.C.have your hazard lights on, so vehicles on all sides can see you.D. Slow down and increase your following distance to five seconds or more. Nuclei with the same mass number but different atomic numbers are called isobars. Consider Ca-40, Ca-41, K-41 and Ar-41. (a) Which of these are isobars? Which are isotopes? (b) What do Ca-40 and Ca-41 have in common? (c) Correct the statement (if it is incorrect): Atoms of Ca-41, K-41, and Ar-41 have the same number of neutrons. A 1 kg particle moves upward from the origin to (23) m. Wit is work done by the force of gravity which is in - y direction s B. 19,6 D. 29.4) A.-19.6 J C. -29.4 J a ball is rolled down hill with an initial velocity of 4.2 m/s. how far will it roll in 11.6s if it accelerates at 2.3m/s2 For fertilization to occur in humans, only one sperm is needed to weaken the barrier that surrounds the egg. a. Trueb. False Why is the demand for environmental scientists and specialists expected to increase? (Site 1 Consider two force vectors in the xy-horizontal plane. Suppose a force of 12.7 N pointing along the +x-axis is added to a second force of 18.1 N directed at 30 degrees to the +x-axis , also in the horizontal plane. Find the resultant vector for this sum. magnitude direction degrees above the +x-axis in the horizontal plane In a certain region of the country it is known from past experience that the probability of selecting an adult over 40 years of age with cancer is 0.05. If the probability of a doctor correctly diagnosing a person with cancer as having the disease is 0.78 and the probability of incorrectly diagnosing a person without cancer as having the disease is 0.06, what is the probability that an adult over 40 years of age is diagnosed as having cancer? Which of these best represents a fatty-acid molecule?