Microbursts are dangerous for commercial aircraft on takeoff or landing because of the associated high wind gusts and turbulence.
Microbursts can create strong and sudden downdrafts that can cause a rapid decrease in airspeed and altitude, leading to a potential loss of lift and control. This can be especially dangerous during takeoff or landing when the aircraft is already at a low altitude and has limited ability to recover.
Microbursts are intense, short-lived downdrafts that can cause severe turbulence and strong winds in a localized area. They occur during thunderstorms and can last from a few seconds to a few minutes.
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What is the shape of a line graph that shows the temperature change over time of the liquid before it starts to boil.
The shape of a line graph displaying temperature change over time before boiling is typically linear and increasing.
In a line graph showing the temperature change over time of a liquid before it starts to boil, the shape is generally linear and increasing.
This is because as heat is applied to the liquid, its temperature increases at a consistent rate.
During this phase, the heat energy is used to increase the kinetic energy of the molecules in the liquid, causing a rise in temperature.
Once the boiling point is reached, the graph may show a plateau, as the energy is then used to change the liquid's state rather than further increase the temperature.
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how many newtons does a 190 lb person weigh? express your answer in newtons. activate to select the appropriate template from the following choices. operate up and down arrow for selection and press enter to choose the input value typeactivate to select the appropriates symbol from the following choices. operate up and down arrow for selection and press enter to choose the input value type w
The weight of a 190 lb person is 844.5 N.
What is the definition of 1 Newton?Newton is the SI (International System) unit of force, named after Sir Isaac Newton, a famous physicist, and mathematician. It is defined as the force required to accelerate a mass of one kilogram at a rate of one meter per second squared (1 N = 1 kg m/s²).
To convert pounds (lb) to Newtons (N), we need to use the conversion factor:
1 lb = 4.45 N
Therefore, a 190 lb person weighs:
190 lb × 4.45 N/lb = 844.5 N
So the weight of a 190 lb person is 844.5 N.
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A 1400 kg car drives at 27 m/s over a circular hill that has a radius of 460 m as shown in (Figure 1). At the point shown in (Figure 1), what is the normal force on the car?
The normal force acting on the car that weighs 1400 kg and drives at 27 m / s is 8390.82 N
The car is not horizontal. So the force mg is resolved into its horizontal and vertical component.
cos θ = Adjacent side / Hypotenuse
cos 30° = r / mg
r = m g cos 30°
Since the path is a circular, the net force acting on the car is equal to the centripetal force,
m g cos 30° - N = m v² / r
m = Mass
g = Acceleration due to gravity
N = Normal force
v = Velocity
r = Radius
N = m g cos 30° - m v² / r
N = ( 1400 * 9.8 * 0.87 ) - [ ( 1400 * 33² ) / 430 ]
N = 11936.4 - 3545.58
N = 8390.82 N
Therefore, the normal force acting on the car is 8390.82 N
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the object that emit light when they are hot called.......
Two identical ice hockey pucks, labeled A and B, are sliding toward each other at speed v. Which one of the following statements is true concerning their momenta and kinetic energies?
a. p(A) = p(B) and KEA= KEB
b. pA= - pB and KEA= -KEB
c. pA= -pB and KEA= KEB
d. pa= pb and KEA =- KEB
Answer:
C. \(p_{A} = -p_{B}\) and \(K_{A} = K_{B}\).
Explanation:
The two hockey pucks travels in opposite sides with velocities of same magnitude, by definitions of linear momentum and translational kinetic energy:
Linear momentum
Hockey puck A
\(p_{A} = m\cdot v\) (1)
Hockey puck B
\(p_{B} = -m\cdot v\) (2)
\(p_{A} = -p_{B}\)
Translational kinetic energy
Hockey puck A
\(K_{A} = \frac{1}{2}\cdot m\cdot (v)^{2}\)
\(K_{A} = \frac{1}{2}\cdot m \cdot v^{2}\) (3)
Hockey puck B
\(K_{B} = \frac{1}{2}\cdot m\cdot (-v)^{2}\)
\(K_{B} = \frac{1}{2}\cdot m \cdot v^{2}\) (4)
\(K_{A} = K_{B}\)
Hence, the correct answer is C.
How many Hydrogens are present on the Products side?
Answer:
two H atoms
Explanation:
3. Observe: An organelle is a cell structure that performs a specific function. Observe the samples below under the highest magnification. Click the Show labels checkbox to label the organelles. List the organelles and approximate size of the cells in each sample.
Organelles are specialized structures within cells that perform specific functions, such as energy production, protein synthesis, and waste removal.
Some examples of organelles include mitochondria, which produce energy for the cell, and ribosomes, which are involved in protein synthesis.
The size of cells can vary widely depending on the organism and the type of cell. For example, human cells can range from 10 to 30 micrometers in diameter, while bacterial cells are typically much smaller, ranging from 1 to 5 micrometers in diameter.
In summary, organelles are specialized structures within cells that perform specific functions, and the size of cells can vary widely depending on the organism and the type of cell.
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How much thermal energy is needed to boil 2.65 kg of water at its boiling
point?
Use Q = mass x latent heat of vaporization.
A. 265 kJ
B. 11.1 kJ
C. 5990 kJ
D. 882 kJ
Answer: 5990 kJ :)
Explanation: a p e x <3
The amount of thermal energy needed to boil 2.65 kg of water at its boiling point is 5990 kJ. So, the correct answer is option C.
What is thermal energy?Thermal energy is the energy that is generated by the movement of particles within a substance or system. It is a type of internal energy and is directly related to the temperature of the system. The faster the particles are moving, the more thermal energy the system has. Thermal energy can be transferred from one system to another through the processes of conduction, convection, and radiation. It is a form of energy that is used in many different applications, such as heating homes and buildings, powering engines, and cooking food.
Here in the Question,
To calculate the thermal energy needed to boil the water, we can use the formula,
Q = m x L
where Q is the thermal energy, m is the mass of the water, and L is the latent heat of the vaporization of water.
Q = m x L
Q = 2.65 kg x 2260 kJ/kg
Q = 5990 kJ
Therefore, 2.65 kg of water will require 5990 kJ of thermal energy to reach its boiling point.
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WILL MARK YOU BRAINLIEST
Describe the importance and reliability of systems that use digital signals to store information. (Include the advantages of storing information digitally, as opposed to physical copies.)
Describe three instances of digital transmission and storage in your everyday life. Be sure to explain how you know data transmission or storage is occurring in each instance.
Explain how radio waves and digital signals will store and transmit this assignment to your instructor.
Describe how wave behavior and interactions can affect the quality of a signal received by a mobile device.
A medical office is planning to convert to an electronic database to store patient information. What are the pros and cons to making changes in this form of storage of personal medical information instead of written physical files? Provide evidence based on your knowledge of digital storage to support your reasoning.
As seen in the lesson video, solar photovoltaic technologies help provide clean electrical energy. Using the video animation as a guide, diagram and label the absorption of photons and production of electrons (photoelectric effect) used in solar PV systems. Include a screen shot or picture of your diagram below.
Digital signals are a more reliable form of transmitting information because an error in the amplitude or frequency value would have to be very large in order to cause a jump to a different value. Signals are composed of infinite possible values. ... Sound signals can vary smoothly in volume and pitchAdvantages to using digital signals, including digital signal processing (DSP) and communication systems, include the following:
Digital signals can convey information with less noise, distortion, and interference.
Digital circuits can be reproduced easily in mass quantities at comparatively low costs.
Answer:
it is easy to change the data if you have the right computer programs
Explanation:
PLZZZ HELP!!! 80PTS!!!
You are given a toy car and told it has a density of 0.54 g/mL and a volume of 38.2 mL. Calculate impulse, given that the toy car's acceleration is 10 m/s^2 and time is 10 s. WRITE THE NUMBER ONLY and DO NOT ROUND.
Answer:
Impulse = \(206.28 * 10 = 2062.8\) g.m/s
Explanation:
Impulse is equal to the product of force and time
Here
Density of car = \(0.54\) g/mL
Volume of car \(= 38.2\) mL
Mass of the car is equal to the product of density and volume of car
Mass of the car \(= 0.54 * 38.2\) \(= 20.628\) grams
Acceleration of the car is \(10\) m/s^2
Force is equal to product of mass and acceleration
F = \(20.628 * 10 = 206.28\) g .m/s^2
Impulse = F * t
Impulse = \(206.28 * 10 = 2062.8\) g.m/s
Frequency= Wavelength = 502 km Speed= 100 m/s
Answer:
Explanation:
Wavelength = 100m. Speed = V. 2.) Frequency = 20 Hz. Wavelength = 200 m. Speed = ... 2=1.7m. F=Y/2 f=2×10. 5.) Wavelength = 502 km. Speed= 100 m/s.
A skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south and a constant acceleration of 2.6 m/s2 toward the east. Let the x direction be eastward and the y direction be northward, and let the skateboarder be at the origin at t=0 .
What is her x position at t=0.80s ?
What is her y position at t=0.80s ?
What is her x velocity component at t=0.80s ?
What is her y velocity component at t=0.80s ?
a. Her x position at t = 0.80 s is 0.0832 m
b. Her y position at t = 0.80 s is -28.8 m
c. Her x velocity component at t = 0.80s is 2.08 m/s
d. her y velocity component at t = 0.80s is -3.6 m/s
Since the skateboarder travels on a horizontal surface with an initial velocity of 3.6 m/s toward the south and a constant acceleration of 2.6 m/s² toward the east.
Her velocity v = (0i - 3.6j) m/s and her acceleration a = (2.6i + 0j) m/s²a. What is her x position at t = 0.80s ?Now since she starts from the origin, to find her x position after 0.80 s, using the equation of motion for the x - components of motion,
x = ut + 1/2at² where
u = x - component of velocity = 0 m/s, a = x - component of acceleration = 2.6 m/s² and t = time = 0.8 sSo, substituting the values of the variables into the equation, we have
x = ut + 1/2at²
x = 0 m/s × 0.8 s + 1/2 × 2.6 m/s² × (0.8 s)²
x = 0 m + 1.3 m/s² × 0.64 s²
x = 0 m + 0.832 m
x = 0.832 m
So, her x position at t = 0.80 s is 0.0832 m
b. What is her y position at t = 0.80s ?Using the equation of motion for her y - components of motion, her y position is y = ut + 1/2at² where
u = y - component of velocity = -3.6 m/s, a = y - component of acceleration = 0 m/s² and t = time = 0.8 sSo, substituting the values of the variables into the equation, we have
y = ut + 1/2at²
y = -3.6 m/s × 0.8 s + 1/2 × 0 m/s² × (0.8 s)²
y = -3.6 m × 0.8 s + 0
y = -28.8 m
So, her y position at t = 0.80 s is -28.8 m
c. What is her x velocity component at t = 0.80s ?Using the equation of motion for her x - component of motion, her x velocity compoent after t = 0.8 s is
v = u + at where
u = initial x - component of velocity = 0 m/s, a = x - component of acceleration = 2.6 m/s² and t = time = 0.8 sSo, we have
v = u + at
v = 0 m/s + 2.6 m/s² × 0.8 s
v = 0 m/s + 2.08 m/s
v = 2.08 m/s
So, her x velocity component at t = 0.80s is 2.08 m/s
d. What is her y velocity component at t = 0.80s ?Using the equation of motion for her y - component of motion, her xyvelocity compoent after t = 0.8 s is
v = u + at where
u = initial y - component of velocity = -3.6 m/s, a = y - component of acceleration = 0 m/s² and t = time = 0.8 sSo, we have
v = u + at
v = -3.6 m/s + 0 m/s² × 0.8 s
v = -3.6 m/s + 0 m/s
v = -3.6 m/s
So, her y velocity component at t = 0.80s is -3.6 m/s
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4. A vehicle
accelerates from
0 km/h to
100 km/h in 10 s.
What is its average
acceleration?
Answer:
Average acceleration, \(a=2.77\ m/s^2\)
Explanation:
Given that,
Initial velocity, u = 0 km/h
Final velocity, v = 100 km/h = 27.77 m/s
Time, t = 10 s
We need to find the average acceleration of the vehicle. It is given by the change in velocity divided by time. Som,
\(a=\dfrac{v-u}{t}\\\\a=\dfrac{27.77-0}{10}\\\\a=2.77\ m/s^2\)
So, its average acceleration is \(2.77\ m/s^2\).
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point. What is the heat of fusion of the substance?
1,000 J of energy are needed to melt 10 g of a solid substance that is already at its melting point , the heat of fusion of the substance is 548 joules .
What is heat of fusion ?Heat of fusion, also known as enthalpy of fusion or latent heat of fusion, is the amount of energy required to melt or freeze a substance under constant pressure conditions. When it comes to chemistry, "fusion" is basically synonymous with "melting." In the classroom, heat of fusion is typically used when a substance is at its melting or freezing point. In such instances, most people consider heat of fusion to be a constant.
Water, for example, has a heat of fusion of 334 J/g at its melting point of 0°C. At 0°C, one grams of liquid water requires 334 Joules of energy to completely freeze into ice. In addition, one grams of ice requires 334 Joules of energy to melt entirely.
q = m×∆Hf
q: Total change in heat energy (in Joules)
∆Hf: Heat of fusion of substance (in Joules per gram)
m: Mass of substance (in grams)
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A yo-yo is released from a stationary hand and spins freely without slipping as the string unwinds. Simultaneously, the yo-yo moves downwards 0.70 m. The radius of the yo-yo is 0.008 m, the mass is 0.05 kg, and the rotational inertia is 3.5 * 10 -5kg*m 2 . a. Calculate the initial gravitational potential energy
The initial rotational kinetic energy of the yo-yo is equal to ½ × 3.5 ×10-5 kg×m2 ×(0.70m/ 0.008m)2 = 0.000912 Joules.
What is kinetic energy?Kinetic energy is the energy of motion. It is the energy an object has due to its motion. Kinetic energy can be calculated by multiplying the mass of an object with the square of its velocity. Kinetic energy is a form of energy that is associated with the movement of objects. It is released when objects collide or when objects are deformed. Kinetic energy can also be converted into other forms of energy, such as thermal energy, sound energy and electrical energy.
The initial gravitational potential energy of the yo-yo is equal to the change in height multiplied by the weight of the yo-yo. The weight of the yo-yo can be calculated using the equation W = m × g, where m is the mass and g is the acceleration due to gravity. Therefore, the initial gravitational potential energy of the yo-yo is equal to 0.05 kg ×9.8 m/s2 ×0.70 m = 0.343 Joules.
b. Calculate the initial rotational kinetic energy of the yo-yo.
The initial rotational kinetic energy of the yo-yo is equal to ½Iω2, where I is the rotational inertia and ω is the angular velocity. The angular velocity can be calculated using the equation ω = v/r, where v is the linear velocity and r is the radius of the yo-yo. Therefore, the initial rotational kinetic energy of the yo-yo is equal to ½ × 3.5 ×10-5 kg×m2 ×(0.70m/ 0.008m)2 = 0.000912 Joules.
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High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers have calculated the maximum horsepower for the engine to be 630HP
. Twenty five engines are randomly selected for horsepower testing. The sample has an average maximum HP of 650
with a standard deviation of 60HP
. Assume the population is normally distributed.
Step 1 of 2 : Calculate a confidence interval for the average maximum HP for the experimental engine. Use a significance level of α=0.01
. Round your answers to two decimal places.
The 99% confidence interval for the average maximum HP for the experimental engine is (610.12, 689.88).
To calculate the confidence interval for the experimental engines' average maximum HP, we can use the following formula:
To find the z-score for α=0.01, we can refer to a standard normal distribution table or use a calculator. The z-score is approximately 2.58.
Substituting the given values into the formula, we get:
CI = 650 ± 2.58*(60/√25) CI = 650 ± 30.96
Rounding to two decimal places, the confidence interval for the experimental engines' average maximum HP is:
CI = [619.04 HP, 680.96 HP]
Therefore, we can say with 99% confidence that the true average maximum HP for the experimental engines falls between 619.04 HP and 680.96 HP. Thus, we can conclude that the experimental engines' average maximum HP is likely to be within this range. However, note that this range does not include the manufacturer's claimed maximum HP of 630 HP, which may indicate that the engines are performing below expectations.
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The current in the wires of a circuit is 60 milliamps. If the resistance of the circuit were doubled (with no change in voltage), then it’s new current would be _____ milliamps
Answer:30
Explanation:
Current=60 milliamps
Current=(voltage)/(resistance)
60=(voltage)/(resistance)
Doubling the resistance means multiplying both sides by 1/2
60x1/2=(voltage)/(resistance) x 1/2
30=(voltage)/2(resistance)
Therefore the resistance would be 30 milliamp if we double the resistance
WHAT IS THE MEAING OF- Grouping Data
Grouping data refers to the process of categorizing or organizing data based on specific criteria or attributes.
It involves grouping similar data points together to gain a better understanding of patterns, relationships, and trends within the dataset. By grouping data, you can simplify complex information and derive meaningful insights from large amounts of data. The purpose of grouping data is to create subsets or clusters that share common characteristics.
This enables easier analysis, summarization, and comparison of data within each group. Grouping can be performed on various types of data, such as numerical, categorical, or time-based data. Grouping data allows for the exploration of data at different levels of granularity.
For example, you can group sales data by region to analyze regional performance, or group customer data by demographics to identify specific customer segments. This process helps in identifying outliers, detecting patterns, and making data-driven decisions.
Common techniques for grouping data include using functions like GROUP BY in SQL or utilizing data visualization tools to create charts or graphs that illustrate the grouped data. Grouping can be applied in various fields, such as marketing, finance, healthcare, and research, to uncover insights and support decision-making processes.
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Match the Erikson stage with the example and the Piaget stage with example. This is a little harder but will be good practice for
your exam.
✓identity vs role confusion
✓ concrete operational stage
✓ sensorimotor stage
✓integrity vs despair
✓ intimacy vs isolation
A. Mo does not know what he wants to do after graduation.
Maybe join the army, maybe go to Wake Take?
B. Mo is an older adult and is questioning all of the
accomplishments he completed in life.
C. Mo is beginning to acquire motor skill and develop object
permanence.
D. Mo is developing healthy friendships but is still struggling
with forming a relationship with a significant other.
E. Mo can think logically and has mastered the law on
conservation.
A. Identity vs role confusion: Mo's uncertainty about post-graduation plans.
B. Integrity vs despair: Mo's questioning of life accomplishments as an older adult.
C. Sensorimotor stage: Mo's development of motor skills and object permanence.
D. Intimacy vs isolation: Mo's struggle with forming relationships.
E. Concrete operational stage: Mo's ability to think logically and understand conservation.
A. The example matches with the Erikson stage of "identity vs role confusion." During this stage, individuals go through a period of exploration and self-discovery to establish a sense of identity and determine their roles and goals in life. Mo's uncertainty about what he wants to do after graduation reflects the challenges and decision-making processes associated with identity formation.
B. The example matches with the Erikson stage of "integrity vs despair." This stage occurs in late adulthood, where individuals reflect on their life choices, accomplishments, and experiences. Mo, as an older adult questioning his accomplishments, is facing the task of finding a sense of integrity and satisfaction with the life they have lived or experiencing feelings of despair and regret.
C. The example matches with the Piaget stage of "sensorimotor stage." This stage occurs in infancy, where children develop coordination and motor skills and begin to understand object permanence, which is the understanding that objects continue to exist even when they are out of sight. Mo's acquisition of motor skills and developing object permanence aligns with the characteristics of the sensorimotor stage.
D. The example matches with the Erikson stage of "intimacy vs isolation." This stage occurs during early adulthood, where individuals seek to form deep and meaningful relationships with others. Mo's struggle with forming a relationship with a significant other reflects the challenges and conflicts associated with the intimacy vs isolation stage.
E. The example matches with the Piaget stage of "concrete operational stage." This stage occurs in middle childhood, where children develop logical thinking and can grasp the concept of conservation. Mo's ability to think logically and understand the law of conservation aligns with the characteristics of the concrete operational stage.
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pls pls help i am in 8th grade k12 How is the temperature affected (increased or decreased) when the iron block is placed in the water?
a. the iron black (temp increase or decrease)
b. the water (temp increase or decrease)
Question 3 options:
Blank # 1
Blank # 2
Explanation:
the water temperature increase or decrease
when a man throws a stone in the direction of maximum range the stone rises to a height of 20m . what is the range and how long is the stone in air
Answer:
50m
Explanation:im just smart thank me later
The range is 80 meter and the stone is 4.04 second in air.
What is projectile?When a particle is hurled obliquely near the surface of the earth, it travels along a curved path while accelerating continuously in the direction of the planet's center (we assume the particle stays close to the surface of the globe). Such a particle's motion is known as projectile motion, and its route is referred to as a projectile.
Given that: maximum height obtained by the projectile; H = 20 m.
Let initial velocity = u
For maximum range:
H = u²/4g
u = √(4gH) = 28 m/s
and the range of the projectile = u²/g = 4H = 4 ×20 m = 80 m.
Total time of flight = √2· u/g = √2 ×28/9.8 = 4.04 second.
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What force produces an extension of 2.5 cm?
why an object weighs less on moon than earth?
Human reaction times are worsened by alcohol. How much further (in feet) would a drunk driver's car travel before he hits the brakes than a sober driver's car? Assume that both are initially traveling at 50.0 mi/h and their cars have the same acceleration while slowing down, and that the sober driver takes 0.33 s to hit the brakes in a crisis, while the drunk driver takes 1.0 s to do so. (5280 ft = 1 mi)
Answer:
A drunk driver's car travel 49.13 ft further than a sober driver's car, before it hits the brakes
Explanation:
Distance covered by the car after application of brakes, until it stops can be found by using 3rd equation of motion:
2as = Vf² - Vi²
s = (Vf² - Vi²)/2a
where,
Vf = Final Velocity of Car = 0 mi/h
Vi = Initial Velocity of Car = 50 mi/h
a = deceleration of car
s = distance covered
Vf, Vi and a for both drivers is same as per the question. Therefore, distance covered by both car after application of brakes will also be same.
So, the difference in distance covered occurs before application of brakes during response time. Since, the car is in uniform speed before applying brakes. Therefore, following equation shall be used:
s = vt
FOR SOBER DRIVER:
v = (50 mi/h)(1 h/ 3600 s)(5280 ft/mi) = 73.33 ft/s
t = 0.33 s
s = s₁
Therefore,
s₁ = (73.33 ft/s)(0.33 s)
s₁ = 24.2 ft
FOR DRUNK DRIVER:
v = (50 mi/h)(1 h/ 3600 s)(5280 ft/mi) = 73.33 ft/s
t = 1 s
s = s₂
Therefore,
s₂ = (73.33 ft/s)(1 s)
s₂ = 73.33 ft
Now, the distance traveled by drunk driver's car further than sober driver's car is given by:
ΔS = s₂ - s₁
ΔS = 73.33 ft - 24.2 ft
ΔS = 49.13 ft
Explain why sugar was used in this experiment. How does the experiment relate to a baker adding yeast to bread to make it rise?
Answer:
Yeast can use oxygen to release the energy from sugar (like you can) in the process called "respiration". ... So, the more sugar there is, the more active the yeast will be and the faster its growth (up to a certain point - even yeast cannot grow in very strong sugar - such as honey).
Answer #49 please and thank you
when Force (N) is 10.0 Length (m) is 0.60
when Force (N) is 8.0 Length (m) is 0.40
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 4.0 Length (m) is 0.20
when Force (N) is 2.0 Length (m) is 0.10
chatgpt
49. To find the length of a pendulum that has a period of 2.3 seconds on the Moon, where the gravitational acceleration (g) is 1.6 N/kg, we can use the formula:
Period (T) = 2π√(Length (L) / g)
Substituting the given values:
2.3 = 2π√(L / 1.6)
To solve for L, we can rearrange the formula:
L = (2.3 / (2π))^2 * 1.6
L ≈ 0.781 meters (or 78.1 centimeters)
So, the pendulum must be approximately 0.781 meters (or 78.1 centimeters) long to have a period of 2.3 seconds on the Moon.
50. Ranking Task:
To rank the pendulums according to their periods, we need to consider both the length and mass of each pendulum.
Ranking from least to greatest period:
1. A: 10 cm long, mass = 0.25 kg
2. C: 20 cm long, mass = 0.25 kg
3. B: 10 cm long, mass = 0.35 kg
There is a tie between pendulums A and C, as they have the same length but different masses.
Which of the following relationships is correct?
2 points
1 N = 1 kg
1 N = 1 kg·m
1 N = 1 kg·m/s
1 N = 1 kg·m/s2
6.When light bends it is called
a - broken
b- benzene
C - reflection
d - refraction
Answer:
D refraction
Explanation:
I had a question like this so and I got it right so I believe this is the correct answer
If A = (6i-8j) units, B = (-8i-3j) units, and C = (26i-19j) units, determine a and b
such that aA + bB + C = 0
Answer:
Explanation:
given equation
aA + bB + C = 0
Putting the given values
a(6i-8j) +b (-8i-3j) +(26i-19j) = 0
i ( 6a - 8b ) - j ( 8a + 3 b ) = - 26 i + 19 j
comparing the coefficients of i and j
6a - 8b = -26
8a + 3b = -19.
multiplying first equation by 4 and second equation by 3
24a - 32 b = - 104
24a + 9b = -57
9b + 32b = -57 + 104
41 b = 47
b = 1.41
6 a - 8 x 1.41 = -26
6a = -14.72
a = - 2.45
sort the properties of metalloids into the correct categories
Boron
Sillicon
Germanium
Arsenic
Antimony
Tellurium
Pelorium
Metallic characteristics: lustrous, solid at room temperature
In-between characteristics: semiconducting, amphoteric
Nonmetallic: brittle