Which statement best explains the relationship between current, voltage, and resistance?

a.If we increase the amount of voltage applied, and do not change the resistance, this will result in a decrease in current.

b.If we decrease the current applied, and do not change the resistance, we increase the voltage.

c.If we increase the amount of voltage applied, and do not change the resistance, we will also increase the current.

d.If we decrease the amount of current, this will not affect the amount of voltage, only the amount of resistance.

Answers

Answer 1

Explanation:

Ohm's law gives the relationship between current, voltage, and resistance. Its mathematical form is given by :

V = IR

I is current and R is resistance

Resistance resists the flow of electric current in a circuit. When the amount of applied voltage is increased, it will not change the resistance. It increases the current. Hence, the correct option is (C).


Related Questions

CAN YOU HELP ME IN THE FOLLOWING EQUATION THE SPEED IS V = A + BT. DETERMINE THE DIMENSIONS OF A AND B

Answers

Answer:

A = [m/s]

B = [m/s²]

Explanation:

Assuming that V has SI units of m/s, then A and BT must also have units of m/s.

A = [m/s]

BT = [m/s]

Since T has SI units of s:

B [s] = [m/s]

B = [m/s²]

In a normal use bicycle, the angular speed of the minor gear has been found to be 25 rad / s. Find the angular speed of the larger gear, knowing that the small gear has a diameter of 4 R and the large gear 10 R.

Answers

Answer:

10 rad/s

Explanation:

The gears have the same linear speed.

ω₁ r₁ = ω₂ r₂

(25 rad/s) (2R) = ω (5R)

ω = 10 rad/s

2.0 MW is to arrive at a large shopping mall over two 0.100Ω lines. Estimate how much power is saved if the voltage is stepped up from 120 V to 1200 V and then down again, rather than simply transmitting at 120 V. Assume the transformers are each 99% efficient.

Answers

Answer:

55 MW.

Explanation:

So, we are given the following data or parameters Below;

=> "2.0 MW is to arrive at a large shopping mall over two 0.100Ω line.

=> " the voltage is stepped up from 120 V to 1200 V and then down again, rather than simply transmitting at 120 V."

=> "Assume the transformers are each 99% efficient."

STEP ONE: determine the current in the transmission line.

Output Current, i = Power/ voltage.

Output Current,i = (2.0 MW × 10^6 W/ 1 MW)/120.

Output Current,i = 1.66 × 10^4 A.

Therefore, current in the transmission line = output voltage × output current/99% × line voltage.

= 120 × 1.66 × 10^4/ 99% × 1200 = 1.68 × 10^3 A.

STEP TWO: determine the power loss in the two lines.

Power loss = i^2 × Resistance

Power loss = (1.66 × 10^4 )^2 × 0.1 × 2 = 5.5 × 10^7 watt.

STEP THREE: determine the power generated.

Power generated = 2 × 10^6 +5.5 × 10^7.

Power generated = 5.57 × 10^7 watt.

STEP FOUR: determine the step down transformer power.

= 2 × 10^6/99% = 2.02 × 10^6.

Thus, 2.02 × 10^6 + 5.57 × 10^5 = 2.58 × 10^6 watt.

STEP FIVE: Determine the total power and the saved power.

Total power = 2.58 × 10^6/ 99%= 2.6 × 10^6.

Saved power = 5.7 × 10^7 - 2.6 × 10^6 .

Conversion to MW gives saved power = 55 MW.

=

There is a Full Moon on September 14th. On which date will the New Moon occur? A.September 21st B.September 28th C.13th D.October 31st

Answers

Answer:

the answer B

Explanation:

Whenever the alternating current frequency in a series RLC circuit is halved,
a. the inductive reactance is doubled and the capacitive reactance is halved.
b. the inductive reactance is doubled and the capacitive reactance is doubled.
c. the inductive reactance is halved and the capacitive reactance is halved.
d. the inductive reactance is halved and the capacitive reactance is doubled.
e. the reactance of the circuit remains the same.

Answers

Answer:

The correct option is

a. The inductive reactance is doubled and the capacitive reactance is halved

Explanation:

For a series RLC circuit, is a resonant circuit such that the impedance, Z, is minimum at the resonance frequency

Also we have that the capacitive reactance [tex]X_C[/tex], is given as follows;

[tex]X_c = \dfrac{1}{\omega \cdot C}[/tex]

Where;

ω = Angular frequency = 2πf

Where;

f = The frequency in the circuit

[tex]\therefore X_c = \dfrac{1}{2 \cdot \pi \cdot f \cdot C}[/tex]

The inductive reactance is also given as follows;

[tex]X_L = \omega \cdot L = 2 \cdot \pi \cdot f \cdot L[/tex]

Therefore, when the circuit frequency doubles, the inductive reactance doubles and the capacitive reactance halves

When the alternating current frequency in a series RLC circuit is halved,  the inductive reactance is doubled and the capacitive reactance is halved.

What is an alternating current frequency?

An Alternating current (ac) frequency is known to be the amount of cycles per second that can be found  in an ac sine wave.

The Frequency is known to be the rate through which the current changes direction in terms of per second. It is said to be often measured in hertz (Hz). Note that the alternating current frequency in a series RLC circuit is halved,  the inductive reactance increases and the capacitive reactance is reduced.

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A 0.10 g honeybee acquires a charge of 23 pC while flying. The electric field near the surface of the earth is typically 100 N/C, directed downward. What is the ratio of the electric force on the bee to the bee's weight

Answers

Answer:

Explanation:

force on charge q  in electric field E = q E

force on charge of bee in given electric field

= 23 x 10⁻¹² x 100

= 23 x 10⁻¹⁰ N

weight of honey bee = .10 x 10⁻³ x 9.8

= 9.8 x 10⁻⁴ N

Ratio of force / weight of bee

= 23 x 10⁻¹⁰  / 9.8 x 10⁻⁴

= 2.347 x 10⁻⁶ .

A classic physics problem states that if a projectile is shot vertically up into the air with an initial velocity of 142 feet per second from an initial height of 93 feet off the ground, then the height of the projectile, h h, in feet, t t seconds after it's shot is given by the equation:

Answers

Explanation:

It is given that,

Initial velocity of the projectile, u = 142 ft/s

Initial height off the ground, [tex]h_o = 93\ feet[/tex]

We need to find the height of the projectile t seconds after its shot. It is a concept of kinematics. The equation of projectile is given by the formula as follows :

[tex]h= -16t^2+ut+h_o[/tex]

t is time in seconds

So, putting all the values we get :

[tex]h= -16t^2+128t+112[/tex]

Hence, this is the required solution.

Which of the following are double-displacement reactions? multiple answers
A. 2H2(g) + O2(g) -> 2H2O(g)
B. Zn(s) + 2HCI(aq) -> H2(g) + ZnCI2(s)
C. Ba(OH)2(aq) + 2HCIO4(aq) -> Ba(CIO4)2(aq) + 2H2O(I)
D. HNO3 (aq) + KOH (aq) -> H2O(I) + KNO3 (aq)​

Answers

Answer:

C and D

Explanation:

A: is a simple composition

B: is a single replacement

C: C is a double displacement

D: is a double replacement

Answer:

The answers are C abd D.

Explanation:

Here,

A no. Is a combination or analysis chemical reaction.

B no.is a single displacement reaction as cl2 goes to zn.

C no. Is double displacement reaction.

D no. Is a double displacement reaction.

Hope it helps.....

A man drives his car 5 km east of his starting point then he travels 10 km south and reaches a point. From here he travels 15 km towards west and reaches another point .Finally he travels 20 km towards north. Find the net displacement of the man from where he started. plz nswer it and ell the scale or it!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

According to the question ,

Source point is A and the destination point is D

We have to find the distance of AD

From figure,

AE = AB - EB

EB = DC and ED = BC

Therefore in triangle AED

AD² = AE² + ED²

AD² = 4² + 3²

AD² = 16 + 9

AD² = 25

AD = 5

So , the man is 5km far from the starting point

Hope this helps and pls mark as brainliest :)

calculate the magnitude of the electric field intensity in vacuum at a distance of 20 cm from a charge of 5 * 10 raise to power - 3 column​

Answers

Answer:

1.1259*10^9 Newton per Columb

Explanation:

the magnitude of the electric field intensity can be calculated using the expresion below;

E=Kq/r^2

Where k= constant

q= electric charge

r=distance= 2cm= 20*10^-2m( we convert to m for unit consistency

:,K=59*10^9 Columb

If we substitute the value into above formula we have

E=(9*10^9)*(5*10^-3)/(20*10^-2)^2

=1.1259*10^9 Newton per Columb

Therefore,the magnitude of the electric field intensity in vacuum at a distance of 20 cm is 1.1259*10^9 Newton per Columb

Can someone please help me?

An alien spaceship is 650 m above the ground and moving at a constant velocity of 175 m/s upwards.
How high above the ground is the ship after 5 seconds?​

Answers

Answer:

1525 meters above ground

Explanation:

So to do this you will need to write this in slope intercept form or [tex]y=mx+b[/tex]. So 650 would be the b, 175 would be the m, and the x would be 5 so the equation would be [tex]y=175(5)+650[/tex] so if you solve or simplify the equation you will get 1525 meters above the ground and that would be our final answer.

Given the reaction: N2(g) +2O2(g) ⇌ 2NO2(g) The forward reaction is endothermic. Determine which of the following changes would result in more reactant being produced. I. Increase NO2 II. Increase O2 III. Add a catalyst IV. Increase the temperature V. Decrease the pressure A. I and V B. II and IV C. II, III, and V D. All

Answers

Answer:

A. I and V

Explanation:

According to Le Chatelier's Principle, increasing the product side will cause the equilibrium to shift back towards the reactant side, so I is true.  By the same principle, II is false.

For gases, decreasing the pressure will cause the equilibrium to shift towards the side with higher number of moles.  So V is true.

The reaction is endothermic, so increasing the temperature will shift the equilibrium to the products, so IV is false.  And adding a catalyst has no effect on the equilibrium, so III is false.

The changes would result in more reactants being produced will increase NO₂ and decrease the pressure. Then the correct option is A.

What is a chemical reaction?

The chemical reaction is the reaction between two reactants that led to the formation of products.

The products are substances that form after the reaction. The reactants are the substances that are original materials.

Given the reaction: N₂(g) +2O₂(g) ⇌ 2NO₂(g)

The forward reaction is endothermic. Increasing the product side will cause the equilibrium to shift back towards the reactant side, so I is true.  

By the same principle, II is false.

For gases, the decrease in pressure will shift the equilibrium toward the high number of moles side.  

So V is true.

The reaction is endothermic, so increasing the temperature will shift the equilibrium to the products, so IV is false.  Adding a catalyst has no effect on the equilibrium, so III is false.

The changes would result in more reactants being produced will increase NO₂ and decrease the pressure.

Then the correct option is A.

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what is relative velocity?​

Answers

Relative velocity is the velocity of an object or observer B in the rest frame of another object or observer A

Answer:

the velocity of a moving body relative to another body is called relative velocity.

Whats a scientific clame?

Answers

Answer:

A claim made by scientists backed up with evidence and research!

Explanation:

Hope this helped! :)

define the apparent cubic expansivity of a liquid​

Answers

Answer:

THE APPARENT CUBIC EXPANSIVITY OF A LIQUID : is defined as the increase in volume per unit volume per unit rise in temperature when the liquid is heated in an expansible vessel.

The volume V of a cube with sides of length x in. is changing with respect to time. At a certain instant of time, the sides of the cube are 7 in. long and increasing at the rate of 0.3 in./s. How fast is the volume of the cube changing (in cu in/s) at that instant of time

Answers

Answer:

my big long peen for ur mom

Explanation:

Consider that each tick mark represents 1 mile on the vector grid, use the Gizmo to simulate the following scenario: Imagine that a hiker walked 6 mi SE and then 4 mi N. Find the sum of the vectors. Which of the following best describes the general direction that the blue line points?
a) south
b) west
c) east
d) cannot be determined from this information

Answers

Answer:

The best description of the general direction that the blue line points is East direction

Answer:

c. east

Explanation:

Which force is there between an ice skate and the ice​

Answers

The answer is friction
friction

At the same time, if there were no friction at all on ice, skating would be impossible, because it is the friction between the skate and the ice when a skater pushes off that starts the motion to begin with. And friction is also what allows a skater to ever come to a stop.

how can i solve density​

Answers

Answer:

p=m÷v

Explanation:

that is the formula for it. now, using your numbers p=density,m=mass and v= volume. you just divide it.

after you measurement would be in cm/3

Answer:

You can simply find density by using formula

[tex]d = \frac{m}{v} [/tex]

where m represents mass of an object and v represents volume of an object.

hope it helps..

an attempt to estimate the height of a tree the Shadow of an upright metre rule was found to be 25 cm and the length of the Shadow of the tree was 7 m what is the height of the tree​

Answers

Answer:

The actual height of the tree is 28 m

Explanation:

The given information are;

The length of the shadow of an upright meter rule = 25 cm

The actual height of the meter rule = 100 cm

The length of the shadow of the tree = 7 m

The actual  height of the tree  = h

We have

[tex]\dfrac{The \ length \ of \ the \ shadow \ of \ an \ upright \ metre \ rule}{The \ actual \ height \ of \ the \ metre \ rule} = \dfrac{The \ length \ of \ the \ shadow \ of \ the \ tree}{The \ actual \ height \ of \ the \ tree}[/tex]Which gives;

[tex]\dfrac{25 \ cm}{100 \ cm} = \dfrac{7 \ m}{The \ actual \ height \ of \ the \ tree}[/tex]

Therefore;

[tex]The \ actual \ height \ of \ the \ tree = 7 \ m \times \dfrac{100 \ cm}{25\ cm} = 7 \ m \times 4 = 28 \ m[/tex]

That is the actual height of the tree = 28 m.

A board used to pry a boulder loose and roll it over is an example of which of these simple machines?
A.
inclined plane
B.
wheel and axle
C.
lever
D.
pulley

Answers

Answer:

  C.  lever

Explanation:

Any sort of prying tool is an example of a lever.

Answer:

A lever

Explanation:

A ball is launched horizontally at 150 m/s from a cliff. What is its horizontal velocity after 3 seconds? A. 0 m/s B. 30 m/s C. 150 m/s D. 50 m/s

Answers

Answer:

50m/s

Explanation:

Formula:

velocity= distance/ time

velocity= 150/ 3

velocity= 50 m/s

I hope this helped you :)

When a  ball is launched horizontally at 150 m/s from a cliff then its horizontal velocity after 3 seconds would be 150 m/s, therefore the correct option is C.

What is Velocity?

The total displacement covered by any object per unit of time is known as velocity. It depends on the magnitude as well as the direction of the moving object. The unit of velocity is meter/second. It can also be represented by the infinitesimal rate of change of displacement with respect to time. The generally considered unit for velocity is a meter per second.

The mathematical expression for velocity is given by

velocity= total displacement/Total time

Suppose an object has a total displacement of 100 meters in a total time of 25 seconds its velocity would be 4 meter/seconds

For the given problem situation when a ball is launched horizontally at 150 m/s from a cliff then its horizontal velocity after 3 seconds would be 150 m/s  because the horizontal component of the velocity remains constant during a projectile motion, therefore, the correct option is C.

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Supposing we launched a very fast dart from the Space Shuttle, pointed in some direction away from any planet, so that it could travel beyond the solar system. What would it be most likely to hit first after traveling outward for a while

Answers

Rocks and minerals kind of dust like, that’s really all there is in space.

If we launched a very fast dart from the Space Shuttle in a direction away from any planet, Assuming the dart is traveling at an extremely high speed (close to the speed of light), it might eventually encounter a cloud of interstellar gas or dust.

What does the space contain?

Space is mostly empty, consisting of a vacuum with very low density. However, space also contains various astronomical objects, such as stars, planets, moons, asteroids, comets, and other celestial bodies.

There is also interstellar gas and dust scattered throughout space, which can sometimes form clouds that give birth to new stars. Additionally, space is permeated by electromagnetic radiation, including cosmic rays, X-rays, ultraviolet radiation, visible light, infrared radiation, and radio waves.

Space also contains various forms of energy, including dark energy, which is believed to be responsible for the accelerating expansion of the universe, and dark matter, which is thought to make up the majority of the matter in the universe but cannot be directly observed. Overall, space is a vast and complex environment that continues to fascinate astronomers and scientists.

Here in this question,

Therefore, if launched a very fast dart from the Space Shuttle, is pointed in some direction away from any planet, it could travel beyond the solar system. it would be most likely to hit a cloud of interstellar gas or dust. first after traveling outward for a while.

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A car is travelling at a speed of 90 km/h. Brakes are applied so as to produce a uniform acceleration of -0.5 m/s2(metre per sec.Square). Find how far the car will go before it is brought to rest?

Answers

The only thing that mkes this question inconvenient is that it uses a mixture of units ... speed in km/hr, and acceleration in m/s².  You can't directly mash those together.

What's the speed when we express it in m/s ?

Speed = (90 km/hr) · (1,000 m/km) · (1 hr/3,600 sec)

Speed = (90 · 1,000 · 1 / 3,600) · (km-m-hr / hr-km-sec)

Speed = 25 m/s

OK great !  

-- The car is traveling at 25 m/s when the brakes are applied.

-- The brakes slow it down by 0.5 m/s every second.

-- So it takes (25/0.5) = 50 seconds to stop the car.

-- During that time, the car's average speed is (1/2)·(25m/s + 0) = 12.5 m/s .

-- Moving at an average speed of 12.5 m/s for 50 sec, the car travels

(12.5 m/s) · (50 s)  =  625 meters

(a) Two microwave frequencies are authorized for use in microwave ovens: 900 and 2560 MHz. Calculate the wavelength of each. (b) Which frequency would produce smaller hot spots in foods due to interference effects

Answers

Answer:

a) wavelength for the two frequencies are 0.33 m and 0.12 m

(b) 2560 MHz

Explanation:

Given:

microwave frequencies are

900 and 2560 MHz

f1= 900MHz we need to convert it to Go so the unit will be able to be consistent

f1= 900MHz= 900× 10^6Hz

f2= 2560 MHz= 2560×10^6Hz

a)Calculate the wavelength of each

But we can calculate our wavelength λ using the below formula

λ=c/f

c which is the speed of light has a constant value of =3*10^8m/s

Then for the first frequency

λ=c/f =(3×10^8)/900×10^6

=0.33 m

=33 cm.

For the second frequency

λ=c/f = (3×10^8)/2560×10^6

=0.12 m

=12 cm

(b) Which frequency would produce smaller hot spots in foods due to interference effects

(b) 2560 MHz( has the smallest wavelength)

This is because a small wavelength microwave gives a pattern with which is interference with waves and have a closer hotspot

There are only six player per teams in a hockey game. A group of 14 friends wants to start a game. What is the most sportsman-like way to set up the game ?

Answers

Answer:

We have 14 friends, and each team must have 6 players:

Then, in the two teams, we have 2*6 = 12 players.

This will mean that 2 of the friends can not be included in the game.

To solve this:

For example, each of those 2 players go to one of the teams, so we actually have two teams of 7 players.

Only 6 of them will play at the time, and the other player will rotate each fixed amount of time

Then the correct answer would be:

Rotate the players (in the teams) so all of them can play.

Ozone molecules in the stratosphere absorb much of the harmful radiation from the sun. How many ozone molecules are present in 2.00 L of air under the stratospheric ozone conditions of 275 K temperature and 1.89 × 10−3 atm pressure?

Answers

Answer:

1.01×10^20 molecules of ozone.

Explanation:

Data obtained from the question include:

Volume (V) = 2 L

Temperature (T) = 275 K

Pressure (P) = 1.89×10¯³ atm

Gas constant (R) = 0.0821 atm.L/Kmol

Number of mole (n) of ozone =.?

Using the ideal gas equation, we can obtain the number of mole of ozone as follow:

PV = nRT

1.89×10¯³ x 2 = n x 0.0821 x 275

Divide both side by 0.0821 x 275

n = (1.89×10¯³ x 2) /(0.0821 x 275)

n = 1.67×10¯⁴ mole.

Therefore the number of mole of ozone in 2 L of air is 1.67×10¯⁴ mole.

Finally, we shall determine the number of molecules present in 1.67×10¯⁴ mole of ozone.

This can be obtained as follow:

From Avogadro's hypothesis, 1 mole of any substance contains 6.02×10²³ molecules. This implies that 1 mole of ozone contains 6.02×10²³ molecules.

If 1 mole of ozone contains 6.02×10²³ molecules,

therefore, 1.67×10¯⁴ mole of ozone will contain = 1.67×10¯⁴ x 6.02×10²³ = 1.01×10^20 molecules.

Therefore, 1.01×10^20 molecules of ozone are present in 2 L of air.

Help!
6. Assume a position vs time graph displays a horizontal line, what does this represent?
A. Constant Velocity
B. 0 Acceleration ​

Answers

if it is horizontal line, that means position is same but time is increasing.

velocity=0 . particle is not even moving

The north pole of a bar magnet is rapidly introduced into a solenoid at one end (say A). Which of the following statements correctly depicts the phenomenon taking place?
(a) No induced emf is developed.
(b) The end A of the solenoid behaves like a south pole.
(c) The end A of the solenoid behaves like north pole.
(d) The end A of the solenoid acquires positive potential.

Answers

Answer:

The correct option is;

(b) The end A of the solenoid behaves like a north pole

Explanation:

According to Lenz's law we have that the induced emf direction in the solenoid due to the rapid introduction of the bar magnet will be such that the electric current induced will have a resultant magnet field that will  oppose to the movement of the north pole of the bar magnet that resulted in the magnetic field

Therefore, the opposing magnetic pole to the north pole of a magnet is a north pole and the solenoid end A will act like the north pole.

It is nighttime, and you dropped your goggles into a swimming pool that is 3.0m deep. If you hold a laser pointer 1.0m directly above the edge of the pool, you can illuminate the goggles if the laser beam enters the water 2.0m from the edge. How far are the goggles from the edge of the pool

Answers

Answer:

The distance of the goggle from the edge of the pool is 4.726 m

Explanation:

The given information are;

The depth of the swimming pool = 3.0 m deep

The height of the laser pointer above the swimming pool edge = 1.0 m

The distance from the pool edge the laser  pointer enters the water  = 2.0 m

The angle between the pool and the laser = ∅ = tan⁻¹(1/2) = 26.57°

Therefore, the angle of incidence to the vertical [tex]\theta_i[/tex],  = θ - ∅ = 90 - 26.57° = 63.43°

By Snell's law we have;

The ratio of the sin of the angle of incidence to the sin of the angle of refraction is a a constant equal to the ratio of the refractive indices as follows;

[tex]\dfrac{sin (\theta_i)}{sin (\theta_r} =\dfrac{n_r}{n_i}[/tex]

Where:

[tex]n_r[/tex] = Refractive index of the refractive medium which is water = 1.33

[tex]n_i[/tex] = Refractive index of the incidence medium which is air = 1.00

Therefore;

[tex]\theta_r = sin^{-1} \left (\dfrac{n_i \times sin (\theta_i)}{n_r} \right) = sin^{-1} \left (\dfrac{1\times sin (63.43)}{1.33} \right) = 42.26 ^{\circ}[/tex]

We have that tan([tex]\theta_r[/tex]) = (Distance of the goggles from the point directly above the point of incidence of the beam)/(The water depth)

tan(42.26) = (The horizontal distance of the goggles from the point of incidence of the laser on the water surface)/(3.0)

∴ The horizontal distance of the goggles from the point of incidence of the laser on the water surface = 3.0 × tan(42.26) = 2.726 m

The distance of the goggle from the edge of the pool = The horizontal distance of the goggles from the point of incidence of the laser on the water surface + The distance from the edge of the water surface the laser enters the water

The distance of the goggle from the edge of the pool = 2.726 + 2 = 4.726 m

The distance of the goggle from the edge of the pool = 4.726 m.

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Clarise evaluated this expression.(66.3 14.62) 0.6 0.22(51.68) 0.6 0.22(51.68) 0.4251.68 0.1632.3Which errors did Clarise make? The technology developed during World War I resulted in(1) smaller nations becoming part of larger empires after the war(2) a smaller number of refugees during the war(3) increased military casualties in battles fought during the war(4) a slowdown in transportation improvements after the war Which of the following is an arithmetic sequence? How many hydrogen atoms are there in the following compound: 4CHA (2 points)Select one:a 4b. 8c. 12d. 16 Help please!!!!!! Thank you what is the rational exponent from of this expression Thomas Textiles Corporation began November with a budget for 60,000 hours of production in the Weaving Department. The department has a full capacity of 75,000 hours under normal business conditions. The budgeted overhead at the planned volumes at the beginning of November was as follows:Variable overhead $450,000Fixed overhead 262,500Total $712,500The actual factory overhead was $725,000 for November. The actual fixed factory overhead was as budgeted. During November, the Weaving Department had standard hours at actual production volume of 64,500 hours.Determine the variable factory overhead controllable variance and the fixed factory overhead volume variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. Round your interim computations to the nearest cent, if required.a. Variable factory overhead controllable variance: $ b. Fixed factory overhead volume variance: $ High dose radiation for cancer treatment has been shown to increase risk for breast cancer years after the treatmentTrue or False? The amount that two groups of students spent on snacks in one day is shown in the dot plots below. Which statements about the measures of center are true? Select three choices. The mean for Group A is less than the mean for Group B. The median for Group A is less than the median for Group B. The mode for Group A is less than the mode for Group B. The median for Group A is 2. The median for Group B is 3. Help i have to pass in 2 days please help!!!!!!!!! Sophie is riding her bike home when she runs over a nail. It gets stuck to the tire of her bike but does not pop the tire. As she continues to cycle home the nail hits the ground every 2 seconds and reaches a maximum height of 48cm. a) Write a sinusoidal equation that models the nails height off the ground in cm, h, in terms of time,t. Sketch one full revolution of the nail, assuming that sophie first runs over the nail at 0seconds . b) Algebraically determine the height of the nail above the ground at 0.8 seconds. Round your answer to the nearest tenth of a cm Tony borrrows $20 000. He aggrees to repay this loan with 15 equal annual payments with the first payment to commence at the end of 5 years. The annual effective rate of interest on the loan is 4%. calculate the amount of annual payments What is the product?(negative 3 s + 2 t)(4 s minus t)negative 12 s squared minus 2 t squarednegative 12 s squared + 2 t squarednegative 12 s squared + 8 s t minus 2 t squarednegative 12 s squared + 11 s t minus 2 t squaredMark Concentrated hydrochloric acid, HCl, comes with an approximate molar concentration of 12.1 M. If you are instructed to prepare 350.0 mL of a 0.975 M HCl solution, how many milliliters of the stock (concentrated) HCl solution will you use 2. A large banana split costs $5.80 plus $0.45 per topping. Write and solve an inequality that representsthe maximum number of toppings you can order if you want to spend at most $8.50.Define variable:Equation:Solution:can someone check my work? ty!! In practice, the cost minimization strategy can be more expensive than the opportunity maximization strategy. Which of the following is a way in which the cost minimization strategy is less expensive than the opportunity minimization strategy? a. The loss of unexpected opportunities b. The cost of extensive monitoring mechanisms c. The costs of writing detailed contracts d. The prevention of opportunistic behavior by the partner(s) 01:53:26 The main factors that determine the amount of runoff in an area include the shape of the land, how people use the land, the type of soil, and: a. amount of soil and vegetation b. amount of rain and vegetation c. amount of rain and amount of soil d. amount of rain and rock formations In a duopoly game we observe the following payouts: if the two firms collude they will each earn $50,000. If one firm cheats then he earns $60,000 and the other firm earns -$10,000. If both firms cheat then they each earn zero economic profit. In this game what is the Nash equilibrium? Please Help! A pair of equations is shown below. x + y = 2 y = one halfx + 5 If the two equations are graphed, at what point do the lines representing the two equations intersect? (4, 2) (2, 4) (2, 5) (5, 2) what is three positive effects of the Industrial Revolution and the way it changed society?