Answer:
y = 43.55 + 2.15t
Explanation:
We were told that in 1983, the per capita consumption was 37.1 pounds, and in 1989 it was 50 pounds.
If we assume t = 0 corresponds to year 1980. Then, for 1983 it will be t = 3 and for 1989,it will be t = 9.
Thus, expressing the information as ordered pairs, we have; (3,37. 1) and (9,50).
Let us now find slope of the linear function:
m1 = (y2 - y1)/(t2 - t1)
m1 = (50 - 37.1)/(9 - 3)
m1 = 2.15
So, we can find the linear equation as;
y - 37.1 = 2.15(t - 3)
y = 37.1 + 2.15t - 6.45
y = 43.55 + 2.15t
(4. A bus is moving at 25 m/s when the driver steps on the brakes and brings the bus to a stop in
3.0 s.
a. What is the average acceleration of the bus while braking?
b. If the bus took twice as long to stop, how would the acceleration compare with what you
found in part a?
Answer:
(a) the average acceleration of the bus while braking is 8.333 m/s
(b) if the bus took twice as long to stop, the acceleration will be half of the value obtained in part a. [¹/₂ (8.333 m/s) = 4.16 s]
Explanation:
Given;
initial velocity of the bus, v = 25 m/s
time of the motion, t = 3 s
(a) the average acceleration of the bus while braking
a = dv/dt
where;
a is the bus acceleration
dv is change in velocity
dt is change in time
a = 25 / 3
a = 8.333 m/s
(b) If the bus took twice as long to stop, the duration = 2 x 3s
a = 25 / (2 x 3s)
a = ¹/₂ x (25 / 3)
a = ¹/₂ (8.333 m/s) = 4.16 s
Thus, if the bus took twice as long to stop, the acceleration will be half of the value obtained in part a.
(a) The average acceleration of the bus while braking is 8.333 m/s.
(b) In the case when the bus took twice as long to stop, the acceleration will be half of the value obtained in part a. [¹/₂ of 8.333 m/s) = 4.16 s]
Calculation of acceleration:initial velocity of the bus, v = 25 m/s
time of the motion, t = 3 s
(a) the average acceleration of the bus should be
a = dv/dt
Here,
a is the bus acceleration
DV is a change in velocity
dt is changed in time
So,
a = 25 / 3
a = 8.333 m/s
(b) If the bus took twice as long to stop, the duration = 2 x 3s
So,
a = 25 / (2 x 3s)
a = ¹/₂ x (25 / 3)
a = ¹/₂ (8.333 m/s)
= 4.16 s
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Charged particle that has either more or fewer electrons than protons.
Image caught
on Screen is called
Answer:
Real Image
Explanation:
Images which are formed on the screen by the actual intersection of light rays are called real images.
Answer:
Virtual imageExplanation:
Virtual image can be caught on a screenhope this helps you.
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find the area of a body which experiences a pressure of 50000 pa by a force of 100 Newton
Please do it fast
Answer:
Since pressure = force by area
50000 pa = 100N by area
area = 100N by 50000 pa
area = 0.002m²
What is the density of a 500 g rectangle block with the following dimensions: Length = 8.0 cm, Width = 6.0 cm,
and Height = 5.0 cm. I
Explanation:
Density = mass / volume
ρ = (500 g) / (8.0 cm × 6.0 cm × 5.0 cm)
ρ = 2.1 g/cm³
The volume of the block the product of its dimensions that is 240 cm³. Then density of the block weighing 500 g is 2.08 g/ cm³.
What is density ?Density of a substance is the measure of its mass per unit volume. It describes how closely its particles are packed within a given volume. It is the ratio of mass to the volume.
Volume of an object is the space occupied by the object. For a rectangle block, volume is the product of length, width and height.
Given, l = 8 cm
width = 6 cm
h = 5 cm
volume = l w h = 6 cm × 5 cm × 8 cm = 240 cm³
Mass of the block = 500 g
density = mass/ volume
d = 500 g/240 cm³
= 2.08 g/cm³
Therefore, the density of rectangular block is 2.08 g/cm³.
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1.Round off the following measurement to the three significant figures. 1.296 g.
2. How many significant figures are there in the following measurement? 2020 g.
3.Round off the following measurement to the three significant figures. 5.658 grams
Answer:
1) 1.30g2) 3 sf3) 5.66 gramsExplanation:
1) Significant figure means the amount of figure we are interested in. Note that 0 is insignificant. For example 30 is a one significant figure i. e the only figure of interest is 3.
Given the figure 1.296 g, as we can see, there are initially for figures in the value. This means we are to eliminate one to make it 3. To do that we will remove the 6 at the back by round it up to 1 and add it to the value of 29 preceding it to give 30. The figure will become 1.30 (to 3sf).
Note that only values greater than 4 are rounded up to 1 and added to the preceding value
2) Given the figure 2020, the number of significant figures present is 3 significant figure. Note that all zeros at the end of a value are considered insignificant hence the only significant value here is 202 (which is 3 sig fig.)
3) For the figure 5.658, the value to 3sf is 5.66 (Note that the value of 8 at the end is rounded up to 1 and added to 65 to make it 66). This is as explained in the first answer above.
The circus dog in the picture below is balancing a ball on his nose. The ball has __________ energy right now, but when he drops the ball it will have __________ energy.
Right now the ball only has potential energy but when the ball falls that will be converted into kinetic energy because it is moving. BTW Im 14 in 9th grade ya'll should know this.
Answer:
potential; kinetic
Explanation:
difference between fundamental unit and derived unit (any two)
grade 8 question
Answer:
fundamental units are those units that are independent to other units where as derived units are derived from fundamental units . there are altogether 7 fundamental units where as there are more than seven derived units..
Answer:
[tex] \boxed{ \sf{see \: below}}[/tex]
Explanation:
[tex]\underline{ \sf{fundamental \: unit}}[/tex]
[tex] \star[/tex] This is the unit of a fundamental quantity.
[tex] \star[/tex] This unit is independent of other units.
[tex] \star[/tex] There are only seven fundamental units. They are metre , kilogram , second , Kelvin , ampere , candela and mole.
[tex] \underline{ \sf{derived \: unit}}[/tex]
[tex] \star[/tex] This is the unit of a derived Quantity.
[tex] \star[/tex] This unit is obtained from fundamental units.
[tex] \star[/tex] It is formed in many types using seven fundamental units. They are Newton , Pascal , Joule , Watt , Hertz , Ohm etc.
Hope I helped!
Best regards! :D
a resistance of 30 ohm is placed in a circuit with 90 volt battery what current Flows In the circuit
Answer:
3amperes
Explanation:
current = voltage ÷ resistance = 90÷30= 3amperes
The current Flows In the circuit if, a resistance of 30 ohms is placed in a circuit with a 90-volt battery, is 3 Ampere.
What is resistance?The obstruction to current flow in an electrical circuit is measured by resistance. The Greek letter omega represents the unit of measurement for resistance, known as ohms. Georg Simon Ohm (1784–1854), a German physicist who investigated the connection between voltage, current, and resistance, is the name given to the unit of resistance.
Given:
The resistance of the circuit, R = 30 ohms,
The voltage in the battery, V = 90 volts,
Calculate the current using Ohm law as shown below,
The current of the circuit = The voltage in the battery / The resistance of the circuit,
The current of the circuit = 90 / 30
The current of the circuit = 3 Ampere,
Thus, the current of the circuit having a battery of 90 volts is 3 Ampere.
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in the circuit diagram even in suppose the resistor R1 R2 and R3 have the value of 5 ohm 10 ohm 30 ohm respectively which have been connected to a battery of 12 volt calculate the current through the each resistor be the total current in the circuit and see the total circuit resistance
Three identical resistors of resistances 5Ω, 10Ω and 30Ω are connected with a battery of 12V[tex].[/tex]
To Find :We have to find current through the each resistor and equivalent resistance of circuit[tex].[/tex]
SoluTion :➝ Equivalent resistance of series connection is given by
R = R1 + R2 + R3➝ We know that, Equal current flow through each resistor in series connection.
➝ As per ohm's law, Current flow through a conductor is directly proportional to the applied potential difference.
V = IR◈ Equivalent resistance :
⇒ Req = R1 + R2 + R3
⇒ Req = 5 + 10 + 30
⇒ Req = 45Ω
◈ Current flow in circuit :
⇒ V = IReq
⇒ 12 = I × 45
⇒ I = 0.27A
፨ Therefore, 0.27A current will flow through each resistor.
6. In which abdominopelvic quadrant might a patient with cirrhosis (inflammation of the liver)
experience observable swelling?
Which abdominopelvic region(s)?
what do understand by the efficiency of a machine? By using a block and tackel a man can raise a load of 720 N by an effort of 180 N.Find the mechanical advantage of the method.
Answer:
Efficiency of a machine is how well the machine works and what the machine is capable of doing.
Mechanical advantage=Load/Effort.
720/180=4
________________ is a scientific field and job that involves taking our scientific understanding of the natural world and using it to invent, design, and build things to solve problems and achieve practical goals.
Column 1
Column
Civil Engineer
Engineering
KIP
Column
Civil Engineer
Engineering
KIP
Answer:
civil engineering is the correct answer.
a student records the feather colors and beak shape of every bird observed in the park. which kind of data is the student recording
Answer:
This question is incomplete. The completed question is below
A student records the feather colors and beak shapes of every bird observation in a park. What kind of data is the student recording? A. Qualitative B. Quantitive C. Empirical D. Theoretical
The correct option is C
Explanation:
Empirical data is the data recorded during the course of an experiment/research by means of observing (it could be direct or indirect) certain properties/quality. From the question, it was described that the student observed and recorded the feather colour and beak shapes of birds that came to the park.
Observing the feather colors and beak shapes of birds and recording it is an example of empirical analysis where the student is analyzing based on an observable data.
What is empirical analysis?Empirical analysis is a method for studying and interpreting data that is based on empirical research. Information that can be obtained through experience or by using the five senses is known as empirical evidence. Empirical research is the name given to it in a scientific setting.
Evidence is needed in empirical analysis to support any theory. An empirical method collects observable data and establishes a repeatable procedure to yield results that can be independently verified. Statistics are frequently used in empirical analysis to back up a thesis.
An empirical research needs the stages namely, observation, induction, deduction, testing and evolution.
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This question is incomplete. The completed question is below
A student records the feather colors and beak shapes of every bird observation in a park. What kind of data is the student recording? A. Qualitative B. Quantitive C. Empirical D. Theoretical
what are benefits of better cardio-respiratory endurance?
Answer: By strengthening cardiorespiratory endurance your body will be able to take in and carry more oxygen. This will result in an increased number of red blood cells and hemoglobin. Your heart rate will also become stronger and be able to pump out larger volumes of blood and distribute the oxygen better.
Explanation:
larger arteries that are able to carry blood throughout the body
∵∴∵∴∵∴∵∴∵∴∴∵∴∵∴∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴∵∴
where do people get their energy to turn a wheel??
Answer:
from food eaten (i.e contain carnlbohyadrates)
The mass number of iodine is 126, and it’s in the 53rd place in the periodic table. It has protons and neutrons.
Answer:
iodine has 74 neutrons and 53 protons
Explanation:
05. The time required to complete one lap around a perfectly circular track having a radius of 1,835 meters is 86
seconds. What is the car's velocity?
please help!
Answer:
v = 134.06 m/s
Explanation:
Given that,
Radius of a circular track is 1,835 m
Time required to complete one lap around a perfectly circular track is 86 seconds
We need to find the car's velocity. Velocity is equal to,
v=d/t
On circular path,
[tex]v=\dfrac{2\pi r}{t}\\\\v=\dfrac{2\pi \times 1835}{86}\\\\v=134.06\ m/s[/tex]
So, car's velocity is 134.06 m/s.
Use the information from the graph to answer the question. A graph titled Velocity versus Time shows time in seconds on the x axis, numbered 0 to 25, velocity in meters per second on the y axis, numbered 0 to 40. A line starts at (0, 10) and ends at (25, 35). What is the total displacement of the object? m
Answer:
its -2.5 on edge 2020
Explanation:
i just took the quiz answer above is the next part of the quiz, answer is 562.5
Answer:
What is the acceleration of the object?
-2.5 m/s2
For an individual ( not a repair station) to conduct a complete 100 hour inspection on an aircraft and approve it for return to service requires a mechanic certificate with:______
Answer:
For an individual ( not a repair station) to conduct a complete 100 hour inspection on an aircraft and approve it for return to service requires a mechanic certificate with and powerplant and airframe ratings
Explanation:
Because these are important certificates issued by the FAA giving the mechanic authority to inspect to inspect an aircraft and approve its return to services
Select the correct answer.
Which quantity is a vector quantity?
OA acceleration
OB mass
OC speed
OD volume
Answer:
D volume
Explanation:
I am pretty sure
A rifle bullet is fired from the top of a cliff at an angle of 30o below the horizontal. The initial velocity of the bullet is 800 m/s. If the cliff is 80 m high, how far does it travel horizontally
Answer:
Range=U√2H/g.
=800√2×80/10.
800√160/10.
800√16.
800×4=3200m
A rifle bullet is fired from the top of a cliff at an angle of 300 below the horizontal. The initial velocity of the bullet is 800 m/s. If the cliff is 80 m high, 3200 m it travel horizontally.
What is velocity?When an item is moving, its velocity is the rate at which its direction is changing as seen from a certain point of view and as measured by a specific unit of time.
Range=U√2H/g.
= 800√2×80/10.
= 800√160/10.
= 800√16.
= 800×4
= 3200 m
A rifle bullet is fired from the top of a cliff at an angle of 300 below the horizontal. The initial velocity of the bullet is 800 m/s. If the cliff is 80 m high, 3200 m it travel horizontally.
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where do we NOT need Robots in society
High blood pressure can lead to all of the following except: Question 3 options: A) stroke B) vision loss C) aerobic fitness D) heart attack
Answer:
C) Aerobic Fitness
Explanation:
High blood pressure doesn't affect your aerobic fitness.
High blood pressure can lead to stroke, vision loss, and heart attack except in aerobic fitness. Therefore, option (D) is correct.
What is High blood pressure?High blood pressure can be described as a condition in which the force of the blood against the artery walls is too high. Usually, hypertension can be defined as blood pressure above 140/90 and can be severe if the pressure is above 180/120.
High blood pressure generally develops over time. It can occur because of an unhealthy lifestyle, or not getting enough physical activity. Certain health conditions, such as diabetes can also increase the risk of leading to high blood pressure. In high blood pressure, the force of the blood pushing against the artery walls is too high and the heart works harder to pump blood.
High blood pressure has no common symptoms. Over time, if untreated, it can cause health conditions like heart disease and stroke. Eating a healthy diet with less salt, regularly exercising, and taking medications can lower blood pressure.
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A football coach walks 24 meters eastward, then 12 meters
westward, then 36 meters eastward, and finally 22 meters
westward.
Whats the distance
Magnitude and direction
Answer:
Distance magnitude = 24 meters
The direction of the displacement = Eastward
Explanation:
The distance walked by the football coach eastward = 24 meters
The distance walked by the football coach westward = 12 meters
Then the distance walked by the football coach eastward = 36 meters
Finally, the distance walked by the football coach westward = 22 meters
The total distance walked by the coach eastward = 24 + 36 = 60 meters
The total distance walked by the coach westward = 12 + 22 = 34 meters
Taking x-direction as positive, we have;
The magnitude of the distance = 60 - 34 = 24 meters,
The direction of the coach = Eastward.
What is the electron emission produced when light is shone on a substance
Answer:
Biotron
Explanation:
Answer:
in this generation are electron emission is the alpha,gamma,beta rays attractive to gether
Denise heats a beaker of dilute acid on a hot plate in a fume hood. What should Denise wear to best protect herself when she transports the beaker to a balance outside the hood?
Answer:
D . goggles, a lab coat, heat-proof gloves, and close-toed shoes
Explanation:
Answer:
goggles, a lab coat, heat-proof gloves, and close-toed shoes
Explanation:
328,000 mm + 137 m = ______________m?
Answer:
465m.
Explanation:
Convert all units to meters. So,
328 + 137 = 465m.
What is the formula for acceleration? ( PLEASE HELP! ALSO IF YOU GET B IT'S WRONG BECAUSE I ALREADY PUT THAT AND IT WAS WRONG sorry caps)
A: Final speed-initial speed ________________________ time
B: Net force = Mass x acceleration
C: Mass x Velocity
D: Force a 5N Force B 10N Net force of forces A and B 15N
Answer:
option A is correct
Explanation:
acceleration the time rate of change of velocity or speed so
a=Δv/t
Δv=vf-vi
Δv= final speed-initial speed
now a=final speed-initial speed/time
State the name of electromagnetic wave other than visible light ?
Answer:
-Radio waves
-Microwaves
-Infrared light (IR)
-Visible light
-Ultraviolet (UV)
-X-ray
-Gamma rays
(this is in order from the longest wavelength to shortest wavelength)