If at noon , the ship A is 170 km west of ship B , then the distance between the ships changing at 4:00 p.m. is 28.85 kmph .
The ship A is 170 km west of ship B and
ship A is sailing east at the speed of 40 km/h ;
ship B is sailing north at the speed of 25 km/h ;
let us consider "x" and "y" as initial position of ships A and B ;
let the distance between ship A and "x" = x ;
let the distance between ship B and "x" = y ;
let the distance between ship A and ship B = z ;
By using Pythagoras Theorem ; z² = x² + y² ;
differentiating w.r.t. "t" ,
we get ;
2z*dz/dt = 2x*dx/dt + 2y*dy/dt
on Dividing equation by 2 on both sides ;
z*dz/dt = x*dx/dt + y*dy/dt .....equation(1)
given ; dx/dt = 40 km/hr and dy/dt = 25 km/hr
Now , When t = 4 hours,
since at noon ; the ship A is west of Ship B ;
we get ; x = 40*4 = 170 - 160 = 10 ; y = 25*4 = 100 and
z = √(x² + y²) , putting the values of x and y ,
we get ;
z = √(x² + y²) ;
z = √(10² + 100²) ;
substituting the values ; we get
z = √100+10000
z = √10100
z = 100.49
putting the values of x , y and z , in equation(1) ,
we get ;
100.49*dz/dt = 10*40 + 100*25 ;
100.49*dz/dt = 400 + 2500
100.49*dz/dt = 2900
dz/dt = 2900/100.49
dz/dt = 28.85 kmph ;
Therefore , The distance between the ships is changing at 4:00 p.m. is 28.85 kmph .
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Imagine you inherit a farm and now have to purchase fertilizer for the farm. The farm is 340 acres and had corn planted the previous year. You must add fertilizer to the soil before you plant this year's crop. You go to the local fertilizer store and find SuperPhosphate-brand fertilizer. You read the fertilizer bag and can recognize from your high school chemistry class a molecular formula C*a_{3}*P_{2}*H_{14}*S_{2}*O_{21} (you don't understand anything else written on the bag because it is imported fertilizer from Japan). You must decide how much fertilizer to buy for application to your cornfields. If each bag contains 25 kg of fertilizer and costs $54.73, how many bags of fertilizer must you purchase, and how much will it cost you to add the necessary fertilizer to your fields ?
Total Cost is = $107,380 if The farm is 340 acres and had corn planted add fertilizer to the soil before you plant this years' crop.
What is called fertilizer?A fertiliser is a natural or artificial substance containing chemical elements (such as Nitrogen (N), Phosphorus (P) and Potassium (K)) that improve growth and productiveness of plants. Some synonyms include the terms "enrichment" or "plant nutrient".
Why is fertilizer important?Without fertilizers, nature struggles to replenish the nutrients in the soil. When crops are harvested, important nutrients are removed from the soil, because they follow the crop and end up at the dinner table. If the soil is not replenished with nutrients through fertilizing, crop yields will deteriorate over time.
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if the distance is 207m what is the time
Answer:
That depends on your average speed and the number of stops you make. However, assuming you could average 55 miles per hour for the entire distance, your total driving time would be about 3 hours and 45 minutes.
how to find the density of air?
How long would it take Jesse with an acceleration of -2.50 m/s/s to bring his bicycle with an initial velocity of 13.5 m/s to a complete stop?
Answer:
srarch from website please
An electric dipole is released from rest in a uniform electric field with the orientation shown. Which entry in the table below correctly describes the net torque and the net force on the dipole?*Net torque: clockwise, net force: zero*Net torque: counterclockwise, net force: zero*net torque: counterclockwise net force: non zero*net torque: clockwise, net force: non zero*Both are zero
We will have the following:
From the graph and the direction of the focus of the electric field assuming it is a negative electric field will be:
*Net torque: Clockwise.
*Net force: Zero.
An electric dipole consisting of charges of magnitudea. trueb. false
The given statement about “An electric dipole consisting of charges of magnitude” is true because the electric dipole moment is a vector quantity that has a specific magnitude and direction.
A pair of equal and opposing charges that are separated by a very small distance form an electric dipole. Both of the charges that make up an electric dipole will have the same magnitude; we cannot contemplate a set of two charges that have different magnitudes because of the nature of the electric dipole. The definition of the dipole moment is given as the product of the magnitude of the charges and the distance that separates them from one another. The magnitude of the electric field that is produced by an electric dipole is directly proportional to its dipole moment.
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ball rolls horizontally along the sand and decelerates at a rate of 6 m/s2. Calculate the force of friction that caused this deceleration
if the mass of ball is 'm' then force of friction is f=m*a [where a=deceleration ]
=6m
Answer:6m
Explanation:
if the mass of the volleyball is m the force of friction f=m*a
you push a freezer with a force of 250 N. if you move it a distance of 15 m, how much work was done?
Answer:
375J
Explanation:
W=F x d
=250 x 15
=375J
The work W is equal to the force f times the distance d, or W = fd, to mathematically describe this idea. If the force is applied at an angle to the displacement, the work is W = fd cos.
What force is related to work done?Work in physics is the energy that is transferred to or from an item when a force is applied along a displacement. In its simplest form, For a constant force that is oriented in the same direction as the motion, it is easiest expressed as the product of the force's magnitude and the distance travelled.
A desk is being subjected to applied force if someone is pushing it across the room. The person's force applied to the desk is known as the applied force.
Mass and weight are not the same.The normal force is the supporting force exerted on an object when it collides with another stable object.
Therefore, W=F × d =250 × 15 =375J
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calculate the answer to the correct number of significant digits
0.055 * 5.1 =
Answer:
0.055 * 5.1 = 0.2805
Explanation:
I used a calculator so it should be accurate! yw!! :D
Who sponsored Felix Baumgartner in the second space jump that took placed in
2008?
Alban Geissler, who developed the SKYRAY carbon fiber wing with Christoph Aarns, suggested after Baumgartner's jump that the wing he used was a copy of two prototype SKYRAY wings sold to Red Bull (Baumgartner's sponsor) two years earlier. - wiki
On the decibel scale,an increase of 1 dB means that sound intensity is increased by a factor of ________?
A.10
B.20
C.100
D 200
Answer:
A. 10
Explanation:
it increases by 10 each level
mark brainliest
A rocket travels vertically at a speed of 1200 km/h. The rocket is tracked through a telescope by an observer located 16km from the launching pad. Find the rate at which the angle between the telescope and the ground is increasing 3 min after lift-off. Round your answer to the nearest hundredth rad/hr
Answer:
w = 0.01 t⁻² rad/h
Explanation:
Let's use trigonometry to find the elevation angle of the telescope, we assume that the rocket remains fixed in the telescope.
tan θ = CO / CA
the adjacent leg is CA = 16 km = 16 10³ m
Let's use kinematics to find the height of the rocket
v = y / t
y = v t
this height is equal to the opposite leg
CO = v t
we substitute
tan θ = vt / 16
tan θ = 1200/16 t
tan θ = 75 t
θ = tan⁻¹ ( 75 t )
speed is defined by
w = dθ/dt
w = \(\frac{1}{1 + (75 t)^2} \ 75\)
as time increases we can neglect the 1 of the denominator
w = 1/75 t²
w = 0.0133 t⁻²
Using three significant figures
w = 0.01 t⁻² rad/h
for this answer the time must be given in hours
how long does it take to get to the titanic from the surface
Considering the depth and the speed, it would take approximately 2.5 to 3 hours to get to the Titanic from the surface.
The time it takes to get to the Titanic from the surface depends on various factors, such as the depth of the Titanic wreck and the speed of the vessel you are using to reach it. The Titanic is located approximately 12,500 feet (3,800 meters) below the surface of the ocean.
Assuming you are using a submarine or a deep-sea diving vessel, it typically takes around 2.5 to 3 hours to reach a depth of 12,500 feet. This is because these vessels generally have a cruising speed of about 4 to 5 knots (4.6 to 5.8 miles per hour).
Therefore, considering the depth and the speed, it would take approximately 2.5 to 3 hours to get to the Titanic from the surface.
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7. sketch the electric field lines between two positively charged small spheres placed a short distance from each other.
The electric field lines between two positively charged small spheres placed a short distance from each other will originate from each sphere's surface, repel away from each other, and bend around the spheres, showing the repulsive force between the positive charges.
To sketch the electric field lines between two positively charged small spheres placed a short distance from each other follow the steps below:
Step 1: Draw two small circles, representing the positively charged spheres, placed a short distance apart from each other.
Step 2: Since both spheres are positively charged, the electric field lines will originate from each sphere and repel away from each other.
Step 3: Draw electric field lines starting from each sphere's surface and pointing outward. These lines should curve away from each other as they show repulsion between the positive charges.
Step 4: In the region between the two spheres, the electric field lines will bend outward from one sphere, towards the other sphere, and continue to curve away from the second sphere. These lines illustrate the repulsive force between the two positive charges.
Step 5: Finally, draw some electric field lines that start from one sphere and curve around the outer side of the other sphere, demonstrating the repulsion between the two positively charged spheres.
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Which has the greater acceleration, a person going from 0 m/s to 10 m/s in 10 seconds or an ant going from 0 m/s to 0.25 m/s in 2.0 seconds?
Person-1
Initial velocity=u=0m/sFinal velocity=v=10m/sTime=10s=t\(\\ \sf\longmapsto Acceleration=\dfrac{v-u}{t}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{10-0}{10}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{10}{10}\)
\(\\ \sf\longmapsto Acceleration=1m/s^2\)
Person-2
initial velocity=0m/s=uFinal velocity=v=0.25m/sTime=t=2s\(\\ \sf\longmapsto Acceleration=\dfrac{0.25-0}{2}\)
\(\\ \sf\longmapsto Acceleration=\dfrac{0.25}{2}\)
\(\\ \sf\longmapsto Acceleration=0.125m/s^2\)
Person-1 is accelerating faster.
How to integrate 1/ 1 + x2
The integral of 1/(1 + x²) is (1/2)ln|1 + x²| + C where C is the constant of integration.
Integration is a mathematical process of finding the antiderivative of a function. To integrate the given expression 1/(1 + x²), we will use the substitution method.
Let u = 1 + x², du/dx = 2x dx, then dx = du/2x and the integral becomes:
∫1/(1 + x²) dx = ∫1/u * (1/2x) du= (1/2)∫1/u du
The antiderivative of 1/u is ln|u| + C, where C is the constant of integration.
Therefore, the final solution of the integral is (1/2)ln|1 + x²| + C.
Let us work through the steps:
Step 1:Let u = 1 + x² and then differentiate both sides with respect to x to obtain du/dx. du/dx = 2x
Substitute 2x dx = du into the integral ∫1/(1 + x²) dx to get the integral in terms of u:∫1/u * (1/2x) du = (1/2) ∫1/u du
Step 2:Calculate the antiderivative of 1/u, which is ln|u|. Thus, the final solution is (1/2)ln|1 + x²| + C, where C is the constant of integration. The constant C will vary depending on the initial conditions of the problem.
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Express the function n3/1000 − 100n2 − 100n + 3 in terms of Θ-notation.
The main answer for expressing the function n3/1000 − 100n2 − 100n + 3 in terms of Θ-notation is Θ(n3).
To find the Θ-notation of the given function, we need to determine the highest degree term in the polynomial expression. In this case, the highest degree term is n3/1000.
Since the constant factor (1/1000) does not affect the order of growth, we can simplify the expression to n3.
Therefore, the function is Θ(n3).
Considering the dominant term in the given function, we can express it in Θ-notation as Θ(n^3).
Summary: The function n3/1000 − 100n2 − 100n + 3 can be expressed in terms of Θ-notation as Θ(n3), which represents the order of growth of the function as n cubed.
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the ability to see the world in three dimensions is called
The ability to see the world in three dimensions is called depth perception. It is the visual ability to perceive the relative distance of objects in space and to see them in three dimensions.
Depth perception is an important aspect of vision that allows us to accurately judge distances, perceive spatial relationships, and interact with our environment.
It is the result of the brain processing information from both eyes to create a single, three-dimensional image.
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john has 200 joules of gravitational potential energy when he is standing still on a diving board. john jumps off the diving board. what is his gravitational potential energy when he is halfway to the water? (answer 100j)
His gravitational potential energy when he is halfway to the water is 100 joules.
What is potential energy?Potential energy in physics is the energy that an item retains as a result of its position in relation to other objects, internal tensions, electric charge, or other elements.
The gravitational potential energy of an item, the elastic potential energy of a stretched spring, and the electric potential energy of an electric charge in an electric field are examples of potential energy.
Initial potential energy of John is 200 joules.
Hence, his gravitational potential energy when he is halfway to the water is = (200/2) joules = 100 joules.
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the proper time between two events is measured by clocks at rest in a reference frame in which the two events
The correct answer is Option(C). The proper time between two events is measured by clocks at rest in a reference frame in which the two events are separated by the distance a light signal can travel during the time interval.
The concept of proper time is a fundamental concept in special relativity. It refers to the time interval measured by an observer who is at rest relative to the events being measured. According to special relativity, the passage of time can be affected by relative motion and gravitational fields.
The proper time between two events is independent of the reference frame from which it is measured. It is a fundamental property of the events themselves. In order to measure the proper time between two events, one must use clocks that are at rest relative to the events being measured.
Option (C) states that the two events are separated by the distance a light signal can travel during the time interval. This is the correct choice because the speed of light is a fundamental constant in special relativity and is the maximum speed at which information can propagate. Using the distance traveled by light during a time interval ensures that the measurement of proper time is consistent with the principles of special relativity.
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--The question is incomplete, the complete question is:
"The proper time between two events is measured by clocks at rest in a reference frame in which the two events: (A). occur at the same time (B). occur at the same coordinates (C). are separated by the distance a light signal can travel during the time interval (D). occur in Boston E. satisfy none of the above"--
The globe is divided into time zones, so that any given hour of the day in one time zone occurs at a different time in other time zones. For example, New York City is in one time zone and Los Angeles is in another time zone. When it is 8:00 a.m. in New York City, it is only 5:00 a.m. in Los Angeles. Explain how Earth’s motions cause this difference in times.
Answer:
The rotation of the earth on its tilted axis is the reason behind the difference in the length of the day and night time in different parts of the earth throughout the year. The annual motion of the Earth is called revolution. Since the path of the Earth is elliptical, the interval between the Earth and the Sun keeps shifting.
Explanation:
By solving the equation A) f(t)= = B) f(t): C) f(t) D) f(t)= = on [² f(u)du = t_ -L₁ €² 2 f(u)du is obtained: Jo 1+e²t 1 1+ e2t t = 1 1 2t 1-e²t
By solving the given equation on [² f(u)du = t_ -L₁ €² 2 f(u)du is obtained, we can find t.= J 1+e²t / 1 + e2t / 1-e²tdt. Now, we need to solve the integral,∫ 1+e²t / (1 + e2t)(1-e²t) dt.
For this integral, let u = 1+ e²tSo, du/dt = 2e²And, dt = du/2e²= 1/2e² ∫1+e²t / (u)(1-e²t) du= 1/2e² ∫ (1/u) - (e²/(1-e²t)) du= 1/2e² [ln|u| - ln|1-e²t|] + c.
Now, substituting back the value of u,= 1/2e² [ln|1+ e²t| - ln|1-e²t|] + c= 1/2e² ln|1+ e²t / 1-e²t| + c.
Now, putting the limits in the above expression and solving it, we get the value of t.= [1/2e² ln|1+ e²t / 1-e²t|] t = 1 2t / [1 + e²t] - L₁ 2t / [1-e²t].
Hence, the answer is D) f(t)= 2t / [1 + e²t] - L₁ 2t / [1-e²t].
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1. A 250g bullet is fired with a speed of 300m/s. if it stopped after hitting a target 150m away, (a) what is its initial kinetic energy? (b) What is the magnitude of the force that stopped it? 2. Determine the GPE of a 0.5kg object when it is raised (a.) 0.75m from the floor. (b) What happens to its GPE if we double the height? 3. How high could a 40kg mass be lifted if an energy of 2x10^6 J is used in lifting it?
Answer:
See below
Explanation:
KE = 1/2 m v ^2
= 1/2 (250/1000) 300^2 j the bullet is 250/1000 kg ( assuming g is grams and not GRAINS - in which bullet weight is usually measured)
force to stop it is the same number
PE = mgh = .5 *9.81 * .75 =
doubling height will double PE
2 x 10^6 = 40 * 9.81 * h sove for 'h' in meters
Initial kinetic energy is 11250 J and magnitude of force to stop bullet is 75 N.
The GPE for 0.75m height floor is 3.75J.
The GPE for double of 0.75m height is 7.5J.
The high on which 40 kg mass is lifted is 5000m.
What is kinetic energy?The kinetic energy of an object is the energy that it possesses due to its motion.
\(KE = 1/2 m v ^2\)
\(=1/2 (250/1000) 300^2 J\\= 11250 J\)
Work done,
\(W= fs\\\\f=\frac{W}{s}\\\\f=\frac{11250}{150}\)
\(f=75 N\)
What is GPE?Gravitational potential energy is the potential energy a massive object has in relation to another massive object due to gravity.
PE = mgh
= .5 *9.81 * .75
= 3.75 J
Potential energy when height doubles = 7.5J
What is height to which object lift?The potential energy is given by
\(PE = mgh\\\\h = PE/ mg\\\\h = 2*10^6 J /40*9.8\\\\h = 5000 m\)
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Please design the differential amplifier shown in Fig. P3 to meet the following specifications: (1) Two NMOS transistors are matched: unCox = 400 UA/V2, Vtn = 0.8 V, n = 0.02 V-!, Wn = 4.Wp, L = 0.2 um. Please short the BODY to the SOURCE. (2) Two PMOS transistors are matched: up Cox = 200 UA/V², Vtp = -0.8 V, p = 0.04 V?, Wp = TBD, L = 0.2 um. Please short the BODY to the SOURCE. (3) Iss = 2 mA. (4) Vs = 0.3 V. (5) The DC voltages of both VOP and VON 3.5 V. (6) The small-signal gain Av = (vop – Von) (Vip - Vin) 10. (7) The differential AC sinusoidal signal, vi = (Vip - Vin), has 100 mV amplitude and 1 kHz frequency (8) VDD = 5 V. Design procedure: (a) Design Wp, W. (=4.Wp), VB, and Rp by hand-calculations. Please round the resolution of Wp and Wn to 0.1 um. (Hint: 2n and 2p could be zero for your hand-calculations.)
For the designing of differential amplifier following were found out :
the small-signal gain is zero.
the transconductance (gm) and output resistance (ro) of the NMOS transistors are -640 * (W/L) μA/V and 1 / (8 * (W/L)) kΩ respectively.
the transconductance (gm) and output resistance (ro) of the PMOS transistors are -320 * (W/L) μA/V and respectively.
NMOS transistor: Wn = 0.03 μm, L = 0.2 μm
PMOS transistor: Wp = 0.0075 μm, L = 0.2 μm
Bias current: Itail = 1 mA
Resistance: R = 0.3 kΩ
To design the differential amplifier according to the given specifications, we will follow these steps:
Step 1: Calculate the small-signal gain (Av)
Step 2: Determine the transconductance (gm) and output resistance (ro) of the NMOS transistors
Step 3: Determine the transconductance (gm) and output resistance (ro) of the PMOS transistors
Step 4: Calculate the tail current (Itail) based on the specified Iss
Step 5: Determine the resistance (R) value
Step 6: Calculate the width (Wp) of the PMOS transistor
Step 7: Calculate the width (Wn) of the NMOS transistors
Now let's go through each step in detail.
Step 1: Calculate the small-signal gain (Av)
Given: Av = 10, VOP = VON = 3.5V
Av = (vop - von) / (vip - vin)
10 = (3.5 - 3.5) / (0.1)
10 = 0 / 0.1
Since the numerator is zero, the small-signal gain is zero.
Step 2: Determine the transconductance (gm) and output resistance (ro) of the NMOS transistors
Given: unCox = 400 μA/V², Vtn = 0.8V, n = 0.02 V^(-1), L = 0.2 μm
gm = 2 * unCox * (W/L) * (Vgs - Vtn)
ro = 1 / (lambda * unCox * (W/L))
We need to design the amplifier for DC operation (Vin = Vbias), where the differential voltage (vgs = Vin - Vbias) should be zero to operate the transistors in the saturation region.
For the NMOS transistors:
Vgs = 0 (since Vin = Vbias)
gm = 2 * unCox * (W/L) * (Vgs - Vtn)
= 2 * 400 μA/V² * (W/L) * (0 - 0.8)
= -640 * (W/L) μA/V
ro = 1 / (lambda * unCox * (W/L))
= 1 / (0.02 V^(-1) * 400 μA/V² * (W/L))
= 1 / (8 * (W/L)) kΩ
Step 3: Determine the transconductance (gm) and output resistance (ro) of the PMOS transistors
Given: upCox = 200 μA/V², Vtp = -0.8V, p = 0.04 V^(-1), L = 0.2 μm
Similarly, for the PMOS transistors, we need to design the amplifier for DC operation (Vin = Vbias), where the differential voltage (vsg = Vbias - Vin) should be zero to operate the transistors in the saturation region.
For the PMOS transistors:
Vsg = 0 (since Vin = Vbias)
gm = 2 * upCox * (W/L) * (Vtp - Vsg)
= 2 * 200 μA/V² * (W/L) * (-0.8 - 0)
= -320 * (W/L) μA/V
ro = 1 / (lambda * upCox * (W/L))
= 1 / (0.04 V^(-1) * 200 μA/V² *
= 1 / (5 * (W/L)) kΩ
Step 4: Calculate the tail current (Itail) based on the specified Iss
Given: Iss = 2 mA
Itail = Iss / 2
= 2 mA / 2
= 1 mA
Step 5: Determine the resistance (R) value
Given: Vs = 0.3 V, VDD = 5 V
We can calculate the resistance (R) value using Ohm's Law:
Vs = Itail * R
0.3 V = 1 mA * R
R = 0.3 kΩ
Step 6: Calculate the width (Wp) of the PMOS transistor
To calculate Wp, we'll use the equation for the tail current:
Itail = 2 * upCox * (Wp/L) * (VDD - Vtp)^2
1 mA = 2 * 200 μA/V² * (Wp/0.2 μm) * (5 V + 0.8 V)^2
1 mA = 2 * 200 μA/V² * (Wp/0.2 μm) * (5.8 V)^2
Solving for Wp:
Wp = (1 mA * 0.2 μm) / (2 * 200 μA/V² * (5.8 V)^2)
Wp = 0.01 μm / (2 * 200 μA/V² * 33.64 V^2)
Wp ≈ 0.0075 μm
Step 7: Calculate the width (Wn) of the NMOS transistors
Given: Wn = 4 * Wp
Wn = 4 * 0.0075 μm
Wn = 0.03 μm
So, the design parameters for the differential amplifier are as follows:
the small-signal gain is zero.
the transconductance (gm) and output resistance (ro) of the NMOS transistors are -640 * (W/L) μA/V and 1 / (8 * (W/L)) kΩ respectively.
the transconductance (gm) and output resistance (ro) of the PMOS transistors are -320 * (W/L) μA/V and respectively.
NMOS transistor: Wn = 0.03 μm, L = 0.2 μm
PMOS transistor: Wp = 0.0075 μm, L = 0.2 μm
Bias current: Itail = 1 mA
Resistance: R = 0.3 kΩ
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Write your answer as: base^exponent*base^exponent
The exponential form of the given number is (-7)⁴. 6⁵.
Exponent is the term used to describe a way to represent huge numbers using powers. In other words, the exponent describes how many times a number has been multiplied by itself.
A number that appears as a superscript over another number is the exponent. In other words, it means that the base has been elevated to a particular level of power. Other names for the exponent are index and power. mn indicates that m has been multiplied by itself n times if m is a positive number and n is its exponent which can be said as the m raised to n.
The given numbers are,
(-7) . (-7) . (-7) . (-7) . 6. 6 . 6 . 6 . 6
So, 7 is multiplied by itself 4 times and 6 is multiplied by itself 5 times.
Therefore, it can be written in the exponential form as,
(-7)⁴. 6⁵
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Please help me!! I need the answer to this!
Answer:
A. 30 yards
Explanation:
40 yards - 10 yards = 30 yards
So he displaced 30 yards. Since no directions are given, I'm guessing that it can be assumed he displaced in a positive direction and not negative. So just 30 yards.
Answer:
d
Explanation:
40 divided by 10 give u 4
A transformer has 100 turns in its primary coil and 75 turns in its secondary coil. If the input voltage is 12.0 V, what is the output voltage?
NO LINKS
How much kinetic energy does a baseball with a mass of 0.143 kg have it it is traveling at a velocity of 41.1 m/s?
89.7 Joules
108 3 Joules
156.6 Joules
120.8 Joules
Answer:
E = 120.77 J
Explanation:
Given that,
Mass of a baseball, m = 0.143 kg
Velocity of a baseball, v = 41.1 m/s
We need to find the kinetic energy of the baseball. We know that the kinetic energy of an object is associated with its motion. It can be given by the formula as follow :
\(E=\dfrac{1}{2}mv^2\\\\E=\dfrac{1}{2}\times 0.143\ kg\times (41.1\ m/s)^2\\E=120.77\ J\)
So, the kinetic energy of the baseball is 120.77 J.
The kinetic energy of the baseball is 120.8 J.
What is kinetic energy?The kinetic energy of an object is associated with its motion. It can be related to the mass and velocity as
K.E = 1/2 mv²
Given is the Mass of a baseball, m = 0.143 kg and Velocity of a baseball, v = 41.1 m/s
substitute the values, we have
K.E = 1/2 x 0.143 x (41.1)²
K.E = 120.77 J
Hence, the kinetic energy of the baseball is 120.8 J.
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A school bus traveles at 35 mph and slows down as is approches a red light. This is an example of
The situation described, where a school bus travels at 35 mph and slows down as it approaches a red light, is an example of deceleration or negative acceleration.
Acceleration refers to any change in velocity, which includes both increasing and decreasing speed. In this case, the bus is initially traveling at a constant speed of 35 mph, indicating zero acceleration. However, as it approaches the red light, the bus slows down, which means its velocity decreases. This change in velocity is known as deceleration or negative acceleration. The bus is slowing down to eventually come to a stop at the red light. A school bus is a type of vehicle specifically designed for transporting students to and from educational institutions. It is typically larger than a regular passenger car and is equipped with safety features to ensure the well-being of the students.
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Physics. 40 points.
Help please :) (View attached image)
Answer:
1) 10 m/s 2) 14.1 m/s 3) 6.7 m 4) 11.25 m 5) 4.5 m/s 6) 12 joules
Explanation: