Taking into account the definition of speed, you get that the average speed of the entire trip is 53.33 [tex]\frac{mi}{hr}[/tex] .
It is necessary to know that speed is a quantity that expresses the relationship between the space traveled by an object and the time used for it.
In other words, speed can be defined as the amount of space traveled per unit of time with which a body moves and can be calculated using the expression:
[tex]speed= \frac{distance traveled}{time}[/tex]
In this case, you know that the shipping mall is 40 miles from the woman's house and that she is going to the mall and back home. So it runs the 40 miles of distance twice. So the distance traveled is 80 miles.
On the other hand, you know that on the trip to the mall she averages 80 [tex]\frac{mi}{hr}[/tex]. Since the woman travels the first 40 miles at that speed, and taking into account the definition of speed, the time it takes to go to the shopping mall is calculated as:
[tex]80\frac{mi}{hr} = \frac{40 mi}{time}[/tex]
Solving:
time× 80 [tex]\frac{mi}{hr}[/tex]= 40 mi
[tex]time = \frac{40 mi}{80\frac{mi}{hr}}[/tex]
time=0.5 hr
Finally, you know that on the return trip she averages just 40 [tex]\frac{mi}{hr}[/tex]. Since the woman travels the second 40 miles at that speed, and taking into account the definition of speed, the time it takes to return to her home is calculated as:
[tex]40\frac{mi}{hr} = \frac{40 mi}{time}[/tex]
Solving:
time× 40 [tex]\frac{mi}{hr}[/tex]= 40 mi
[tex]time = \frac{40 mi}{40\frac{mi}{hr}}[/tex]
time=1 hr
Then, the total time of the trip, which consists of going to the shopping mall and returning home, is calculated as:
total time= 0.5 hr + 1 hr
total time= 1.5 hr
Finally, taking into account the definition of speed, average speed of the trip is calculated as:
[tex]speed= \frac{80 miles}{1.5 hr}[/tex]
Solving:
speed= 53.33 [tex]\frac{mi}{hr}[/tex]
In summary, the average speed of the entire trip is 53.33 [tex]\frac{mi}{hr}[/tex] .
Learn more about average speed:
brainly.com/question/15273551 brainly.com/question/9834403?referrer=searchResultsA hydraulic lift has pistons with diameter 28cm and 70cm, respectively. If a force of 500 N is exerted at the input piston. What is the maximum load that can be lifted the output piston?
Answer:
3125 N
Explanation:
diameter /2 =radius
so r1 =14cm , r2 =35cm
f1/A1 =f2/A2.
f2 = f1 × A2 / A1
=500×1225 pi cm² / 96 pi cm²
f2 =3125N
Defects of vision and their correction drawing
No Spams ❌❌
Answer:
Vision Correction
You probably know people who need eyeglasses or contact lenses to see clearly. Maybe you need them yourself. Lenses are used to correct vision problems. Two of the most common vision problems are myopia and hyperopia.
Explanation:
hope this helps
write the maximum number of electrons that can be accommodated in the s,p,d,f subshells
Answer:
S=2,P=6,D=10,F=14. The total number of electrons contained by s,p,d,f subshells is 32
2. A force of 20N acts on a particle of mass 2 Kg and displaces it by 5m at an angle 30°. What is the work done? a) 40J ) b) 50 J c) 100J
Mass is not required
Force=F=20NAngle=30°Displacement=s=5m[tex]\\ \rm\longmapsto W=Fscos\Theta[/tex]
[tex]\\ \rm\longmapsto W=20(5)cos30[/tex]
[tex]\\ \rm\longmapsto W=100\times \dfrac{\sqrt{3}}{2}[/tex]
[tex]\\ \rm\longmapsto W=50\sqrt{3}J[/tex]
Answer:
[tex]we \: have \\ w = fs \cos( \alpha ) \\ f = 20n \\ m = 2kg \\ s = 5m \\ \alpha = 30 \\ \\ then \: w = 20 \times 5 \times \cos(30) \\ 100 \cos(30) \\ = 100 \frac{ \sqrt{3} }{2} \\ = 50 \sqrt{3} \\ = 86.6 \: joule\\ thank \: yo[/tex]
pls give me an answer
Answer:
IV what is it's potential energy at the maximum height
urgent!!!
factor affecting for the depth which is exerted by the foot print of a bull and a man with same masses on a sand floor is,
1.The pressure exerted by the foot of bull is low
2.the pressure exerted by the foot of man is high
3.the area wich touches the sand foor human feet is less
4.the area wich touches the sand floor of 4 feet of the bull is less than the man.
please this is urgent....
The area which touches the sand floor of 4 feet of the bull is less than the man.
because the area of surface of contact is more in bull than in man. More is the area of contact, leads is the force or pressure affected.
Give a reasonable order-of-magnitude estimate of the number of golf balls that would fill a home
swimming pool
An order of magnitude is a number of the form 10^n such that can be used to compare magnitudes or quantities.
We will find that the order of magnitude of golf balls that fill a home swimming pool is 10^6
In this case, we want to estimate the number of golf balls that would fill a home swimming pool.
We know that the diameter of a golf ball is D = 42.6mm = 0.0426m
And the volume of a sphere of diameter D is:
V = (4/3)*pi*(D/2)^3
where pi = 3.14
Then the volume of a single golf ball is:
V = (4/3)*3.14*( 0.0426m/2)^3 = 0.00004 m^3
Now we need to find the average volume of a home swimming pool, we can use 48 m^3 (an average one) to do the general math.
To find the number of golf balls that enter in that volume, we need to do the quotient between the volume of the pool and the volume of a single ball:
N = (48 m^3)/(0.00004 m^3) = 1,200,000
If we round this to the next order of magnitude: 10^6 (the exponent is the number of digits at the right of the one)
Then the order of magnitude of golf balls that enter in a home swimming pool is 10^6
If you want to learn more, you can read:
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6. 498.82 mg comverted to kg
Answer:
0.00049882 kg
........................
Answer:
498.82 mg=0.00049882 kg
Explanation:
To get this answer, you must multiply the quantity of mg by 0.000001, which is also 0.001². Since one gram is 1000 mg, and 1000 g is 1 kg, you must divide the amount of mg by one million, or multiply by 1/1000000, or 0.000001. I hope this helped you. Enjoy your day, and take care!
which of the following are fundamental unit ?
I.candela
II.ampere
III.mole
IV.all of these
Answer:
all of these very easy questions
A woman leaning over the railing of a tall bridge accidentally drops her cell phone. If
the bridge is 39.39 m high, how long will it take the phone to hit the river below the
bridge?
Which statement correctly describes a characteristic that a scientific measuring tool should have?
A. To be accurate, it must be able to make measurements that are close to the actual value.
B. To be accurate, it must be able to make measurements using very small units.
C. To be accurate, it must be able to make measurements using very large units.
D. To be accurate, it must be able to give consistent measurements of a quantity
Answer:
To be accurate, it must be able to make measurements that are close to the actual value.
Cody drives around a track that has a radius of 11460 m at a speed of 36 km/hr.
What distance did he go in one lap? (km)
What was his one lap displacement? (km)
What was his speed in km/hr?
What was his velocity in km/hr?
How long did one lap take him? (hours)
???????.............please help:)
Answer:
It is:
0.00477
0.00000301
The P.E stored by a mass spring system at an extension of 2 cm is 10 J. The P.E stored by the same system at an
extension of 4 cm will be:
Explanation:
extension(x) = 0.02m When the P.E is 10J.
extension(x)= 0.04m PE?.
P.E is proportional to Extension²
P.E/x² = P.E"/x"²
10/(0.02)² = P.E/(0.04)²
P.E= 10x(0.04)²/(0.02)²
P.E= 40J
multipling vectors
what's the answer of this
a= 3cm, 90°
b=4cm, 0°
A×B vector=??
Answer:
12
Explanation:
A x B = |A||B|sin ©
A x B = 3x4 sin 90
= 12
Prove that the acceleration due to gravity is independent to the mass of the falling body.
Answer:
½mv²=mgh
g=½(V²/h)
Explanation:
When an object is held at a height, it posses gravitational potential energy which is mgh, where m= mass, h=height, g=acceleration due gravity
When the object is dropped, the potential energy will be converted to kinetic energy which is ½mv², where V=velocity at which the object moves.
V=∆h/t, ∆h is change in height with respect to time.
½mv²=mgh
Mass cancel out,
g=v²/2h
This implies that g does not depend or is not affected by mass. Hence heavy object and light object will reach the ground at the same time when dropped from the same height. When air resistance is negligible.
As a society, living sustainably means protecting Earth's natural capital and living on its natural income. True or False
Answer:
true
Explanation:
5.
1
Shown above is a wire that is carrying current in a magnetic field. The magnetic field
is coming out the plane of the page.
What is the direction of deflection of the wire?
A) Upwards
B) Downwards
C) To the left
D) To the right
Answer:
The direction of defliection of the site to the left I think ..
A boy rode a bike and covered 90 km at an average speed equals 36 km/h but he covered the first thirty km in two hours. What is the average speed at which the remaining distance was covered ?
Answer:
40
Explanation:
because his increasing speed
In AC Theory, we are going to add components that will cause use to rely on Trigonometry to evaluate different types of Electrical Power. What three units of power will we be measuring
Answer:

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Home / AC Circuits / Power in AC Circuits

Power in AC Circuits
Electrical power consumed by a resistance in an AC circuit is different to the power consumed by a reactance as reactances do not dissipate energy
  
In a DC circuit, the power consumed is simply the product of the DC voltage times the DC current, given in watts. However, for AC circuits with reactive components we have to calculate the consumed power differently.
Electrical power is the “rate” at which energy is being consumed in a circuit and as such all electrical and electronic components and devices have a limit to the amount of electrical power that they can safely handle. For example, a 1/4 watt resistor or a 20 watt amplifier.
Electrical power can be time-varying either as a DC quantity or as an AC quantity. The amount of power in a circuit at any instant of time is called the instantaneous power and is given by the well-known relationship of power equals volts times amps (P = V*I). So one watt (which is the rate of expending energy at one joule per second) will be equal to the volt-ampere product of one volt times one ampere.
Then the power absorbed or supplied by a circuit element is the product of the voltage, V across the element, and the current, I flowing through it. So if we had a DC circuit with a resistance of “R” ohms, the power dissipated by the resistor in watts is given by any of the following generalised formulas:
A still object has a mass of 25kg, what would be the Weight? What would be the Normal Force?
[tex]\\ \rm\longmapsto Force=Mass(Acceleration)[/tex]
[tex]\\ \rm\longmapsto Force=25(10)[/tex]
[tex]\\ \rm\longmapsto Force=250N[/tex]
Which is the cause of the suns magnetic properties ?
A) upward movement or super heated gases in the convection zone
B) uneven churning of plasma
C) rapid spinning of metals in the core
D) uniform clockwise rotation of charger particles
Answer:
Q:
What characteristic is shared by sunspots, solar flares, and coronal mass ejections? Select the two correct responses.
A:
They tend to occur during active periods of the solar cycle. & They are caused by outward fluctuations of the sun's magnetic field.
Q:Drag each item to the correct location.
A: sunspot: cooler area on suns surface where the magnettic field emerges
solar flare: intense burst of radiation coming from the rapid release of magnetic energy
coronal mass ejection: large bubble of plasma from the rapid release of magnetic energy
Q: Which is the cause of the sun's magnetic properties?
A: uneven churning of plasma
Explanation:
took quick check
good luck yall
The uneven churning of plasma is the cause of the sun's magnetic properties, therefore the correct answer is option B.
What is a magnetic field?A magnetic field could be understood as an area around a magnet, magnetic material, or an electric charge in which magnetic force is exerted.
For a simple bar magnet, N-pole and S-pole are the points on a magnet that have the strongest magnetic field. The magnetic field originates from the north pole and terminates in the south pole of a magnet.
The positively charged ions and negatively charged electrons that make up the plasma of the Sun move around a lot due to its high temperatures. Multiple intricate magnetic fields that twist and turn are produced by the moving plasma. A magnetic field is produced by the extremely hot plasma that escapes from the Sun as the solar wind.
Thus, The sun's magnetic properties are caused by uneven plasma churning, so option B is the correct answer.
Learn more about the magnetic fields from here
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A bicyclist is traveling at +25m/s when he begins to decelerate at -4m/s2. How fast is he traveling after 5 seconds
Answer:
+5m/s
Explanation:
When doing the math we figure out that e is going to be slowing down at -4m/s² for 5 seconds. In total he is slowing down -20m/s which we take from the total speed of +25m/s to get his current new speed.
Which statement describes the motion of a ball as it drops onto a vertical spring?
a. The acceleration of the ball decreases as the spring shrinks.
b. The accIleration of the ball decreases as the spring extends.
c. The velocity of the ball changes from positive to negative as the spring shrinks.
d. The velocity of the ball changes from negative to positive as the spring extends.
Answer:
F = M a Newton's second law
F = - K x force exerted by compressed spring
a = - K x / M
a) is true because the ball originally is accelerated due to gravity and this acceleration will decrease as the spring in compressed
One could argue for (d) if the downward direction was designated as negative
Prior to maximum compression of the spring the velocity would negative and as the spring began to extend (and the ball began move upward) the velocity of the ball would change from negative to positive
a car advertisement States that a certain car can accelerate from rest to70km/h in 7seconds find the car's average acceleration
Answer:
Acceleration is 2.78 m/s²
Explanation:
Since the car is from rest, initial velocity, u is zero.
from first newton's equation of motion:
[tex]{ \bf{v = u + at}} \\ [/tex]
v is final velocity
u is initial velocity
a is acceleration
t is time
70 km/h is (70 × 1000 ÷ 3600) m/s = 19.44 m/s
[tex]{ \sf{19.44 = 0 + (a \times 7)}} \\ { \sf{7a = 19.44 }} \\ { \sf{a = 2.78 \: {ms}^{ - 2} }}[/tex]
34.9x46x809 Please helpp
please mark this answer as brainlist
A playground merry-go-round spins about its axis with negligible friction. A child moves from the center of the merry-go-round to the rim. For this system, indicate which of the following quantities change.
A. Potential energy
B. Angular momentum
C. Mass
D. Moment of inertia
E. Angular speed
F. Rotational kinetic energy
Answer:
B
Explanation:
In this process on merry go round there is not any external torque so angular momentum will be conserve. Mass is always conserved.
Please answer these, I’m willing to give plenty of points.
Does a person with a family history of a breast cancer have a higher chance of developing breast cancer during her life?
IV:_________
DV:__________
Hypothesis:__________
Does grass grow faster under shade of a tree or in direct sunlight?
IV:_______
DV:_______
Hypothesis:_________
Observation: students do not eat very much of their food in the lunchroom.
Question: will students eat more food in lunch room if more fresh fruit and vegetables are used?
IV:_________
DV:__________
Hypothesis:_______
Observation: my dog won’t stop barking whenever someone rings the doorbell.
Question: will my dog bark less when the doorbell rings if he exercises for an hour everyday?
IV:_____
DV:_______
Hypothesis:________
Create your own question.
Observation:___________
Question:_____________
IV:________
DV:_________
Hypothesis:____________
Please send help before school starts!!!!!
Answer:
IV family history of breast cancer or not.
DV chance of developing breast cancer. Hypothesis Someone with a family history of breast cancer will have a higher chance of developing it.
IV: Where the grass is placed: tree shade or direct sunlight.
Dv:The grasses growth rate
Hypothesis: Grass will grow faster in direct sunlight as opposed to tree shade
IV: Fresh veggies and fruit or not
Dv: how much the students eat: will they eat more or less?
Hypothesis The students will eat more in the lunchroom when Fresh veggies and fruits are served.
IV: The dog exercise everyday for 1 hour or not.
DV: The dogs barking: less or more.
Hypothesis: The dog will bark less when someone rings the doorbell if he exercises for 1 hour every day.
Explanation:
Observation When I wish my face before bed, I get less breakouts in the morning.
Question Does nightly face washing prevent morning breakouts?
IV Washing face at night or not
Dv How much breakouts in the morning.
Hypothesis Washing your face nightly decreases the occurrence of morning breakouts.
How many bones does the baby have and why does the baby has more bones than the older ones
Answer:
300
Explanation:
when the baby are born then they would have 300 bones but when they grow they would have 206 cause when they grow that 94 bones would convert into different kind of proton and energy I guess
How far would a snowmobile travel in 0.5 hours at a rate of 25 km/h?
Answer:12.5 km
Explanation:
0.5=1/2
25 x 1/2 = 12.5 (25 ÷ 2 = 12.5)
Answer:
12.5 km
Explanation:
Distance = Speed x Time
= 25 x 0.5
= 12.5 km
