In a naturally occurring sample of copper, there is approximately 98.93% Cu-63 and 1.07% Cu-65.
To calculate the final temperature of 245 mL of water initially at 32 C upon absorption of 17 kJ of heat, we can use the equation Q = mcΔT, where Q is the heat absorbed, m is the mass of water, c is the specific heat capacity of water, and ΔT is the change in temperature.
First, we need to convert the volume of water to mass using its density of 1 g/mL. Therefore, the mass of water is 245 g.
Next, we can use the specific heat capacity of water, which is 4.184 J/g°C, to calculate the change in temperature. Rearranging the equation, we get ΔT = Q / (mc) = 17 kJ / (245 g x 4.184 J/g°C) = 16.3°C.
Therefore, the final temperature of the water is 32°C + 16.3°C = 48.3°C.
To determine the relative abundance of Cu-63 and Cu-65 in a naturally occurring sample of copper, we can use the atomic mass of copper, which is the weighted average of the masses of its isotopes.
The atomic mass of copper is (0.6915 x 62.9396 amu) + (0.3085 x 64.9278 amu) = 63.546 amu.
The relative abundance of Cu-63 can be calculated by dividing its mass by the atomic mass of copper and multiplying by 100%. Therefore, the relative abundance of Cu-63 is (62.9396 amu / 63.546 amu) x 100% = 98.93%.
Similarly, the relative abundance of Cu-65 can be calculated by dividing its mass by the atomic mass of copper and multiplying by 100%. Therefore, the relative abundance of Cu-65 is (64.9278 amu / 63.546 amu) x 100% = 1.07%.
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The phase Ø of light of wavelength λ travelling through a shifter with refraction index n is given by Øs = 2πntλ-1, where t is the shifter thickness. The phase of the same light wave travelling through air for a distance equal to t is Øa= 2ntλ-1. Derive an expression for the thickness of the shifter as a function of λ and n in order to obtain a phase shift of 180°.
The thickness of the shifter is given as t = λ / 2n.
The given equation of the phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1, where t is the thickness of the shifter.
The phase of the same light wave traveling through air for a distance equal to t is Øa= 2ntλ-1.
We are supposed to derive an expression for the thickness of the shifter as a function of λ and n to get a phase shift of 180°.
Given, The phase of light of wavelength λ traveling through a shifter with a refractive index n is given by: Øs = 2πntλ-1
The phase of the same light wave traveling through air for a distance equal to t is Øa = 2ntλ-1
To obtain a phase shift of 180°, we have: Øs - Øa = πi where i is an integer.
Substituting the value of Øs and Øa in the above expression, we have:
2πntλ-1 - 2ntλ-1 = πi2πntλ-1 - 2ntλ-1
= π(2nλt) / λ2πntλ-1
= 2nλt / λπt
= λ / 2n
Hence, the thickness of the shifter is given as t = λ / 2n.
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The Brazilian rain forest is an area with significant biodiversity.
As the rain forest is replaced with agricultural land, it is
reasonable to predict a reduction in -
consumption of solar energy.
sustainability over time.
precipitation levels.
average daily temperature.
Answer:
sustainability over time.
Explanation:
The largest Brazilian rainforest is the Amazon rainforest, which is the largest rainforest in the world and occupies 42% of the Brazilian territory. The forest is composed of a rich environmental diversity, constituted by many species of fauna and flora and diverse river resources.
However, there is a growing transformation in the Amazon rainforest caused by organizational exploitation that uses its resources to transform the forest area into agricultural land and pastures for livestock. This problem will cause a reduction in sustainability over time, which will cause serious negative effects on the environment, such as a reduction in biodiversity and an increase in the emission of gases responsible for the greenhouse effect on the planet.
Answer:
Bb
Explanation:
7. A car is
speeding up
with a force of
a
120 N, heading
East. The
force of
friction acts
against the car
with a force of
80 N West.
What is the net
force?
Answer:Fricition
Explanation: It is fricition in the net force
A car is speeding up with a force of 120 mph and heading east. The force of friction acts against the car with a force of 80 N westward, and the net force acting on the car is 40 N eastward, which means the car is accelerating eastward with a force of 40 N.
What is the calculation of net force?To calculate the net force acting on the car, one needs to consider the direction and magnitude of the forces acting on it. A force of 120 N to the east is acting to accelerate the car in that direction, and a force of 80 N to the west is acting to oppose the motion of the car.
Net force = force of acceleration -force of friction.
Net force = 120 N east- 80 N west.
Net force = 40 N East
Hence, the net force acting on the car is 40 N eastward, which means the car is accelerating eastward with a force of 40 N.
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A scale at a grocery store is made of a metal pan (of negligible mass) placed on an ideal spring. The spring has a force constant of 655 N/m. A customer gently rests 1.00 kgs of bananas and 2.00 kg of potatoes on the scale. When the 2.00 kg potatoes is suddenly removed, how high above the starting position do the bananas reach?
Answer:
The ideal spring is 0.030 meters above the starting position.
Explanation:
Let consider that spring is modelled by the Hooke's Law, which is represented by the following expression:
\(F = k\cdot \Delta x\)
Where:
\(F\) - Force exerted on the ideal spring, measured in newtons.
\(k\) - Spring constant, measured in newtons per meter.
\(\Delta x\) - Spring elongation, measured in meters.
The elongation is now cleared:
\(\Delta x = \frac{F}{k}\)
The initial force experimented by the spring is due to the weight of bananas and potatoes.
\(F = (m_{b} + m_{p})\cdot g\)
Where:
\(m_{b}\), \(m_{p}\) - Masses of bananas and potatoes, measured in kilograms.
\(g\) - Gravitational acceleration, measured in meters per square second.
If \(m_{b} = 1\,kg\), \(m_{p} = 2\,kg\), \(g = 9.807\,\frac{m}{s^{2}}\) and \(k = 655\,\frac{N}{m}\), the initial elongation of the ideal spring is:
\(F = (1\,kg + 2\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)
\(F = 29.421\,N\)
\(\Delta x_{o} = \frac{29.421\,N}{655\,\frac{N}{m} }\)
\(\Delta x_{o} = 0.045\,m\)
The final elongation is obtained after eliminating the influence of potatoes due to gravity. That is to say:
\(F = m_{b}\cdot g\)
\(F = (1\,kg)\cdot \left(9.807\,\frac{m}{s^{2}} \right)\)
\(F = 9.807\,N\)
The final elongation of the ideal spring is:
\(\Delta x_{f} = \frac{9.807\,N}{655\,\frac{N}{m} }\)
\(\Delta x_{f} = 0.015\,m\)
The displacement of the spring due to the removal of potatoes is:
\(d = \Delta x_{o} - \Delta x_{f}\)
\(d = 0.045\,m-0.015\,m\)
\(d = 0.030\,m\)
The ideal spring is 0.030 meters above the starting position.
According to Levins Morales, in "What Race Isn't: Teaching About Racism, when confronted with the reality that
race is not biologically real, does she find it problematic to respond "We're all human beings" why or why not? Is this
similar to stating "All Lives Matter"?
Answer: According to author bell hooks, in "What Race Isn't: Teaching About Racism," when confronted with the reality that race is not biologically real, it is problematic to respond "We're all human beings" because it obscures the ways in which race and racism are social constructs that impact people's lives. This response can be seen as similar to stating "All Lives Matter" because it ignores the systemic inequalities and racial injustices that some communities face. Both of these responses downplay the complexities and nuances of race and racism, and prioritize the idea of racial unity over acknowledging and addressing systemic inequalities and injustices.
During combustion reactions, explain why the energy of the reactants must exceed the total energy of the products
Answer:
In these reactions the products are higher in energy than the reactants. ... This barrier is due to the fact that to make CO2 and H2O we have to break 4 carbon-hydrogen bonds and some ...
Explanation:
Suppose an x-ray tube produces x-rays with a range of wavelengths, the shortest of which is 0.0093 nm. (lemda= 0.0093 nm)
What is the accelerating voltage of the x-ray tube in kilovolts?
The accelerating voltage of the x-ray tube in kilovolts is 1335 kV.
An x-ray tube produces x-rays with a range of wavelengths, the shortest of which is 0.0093 nm. To determine the accelerating voltage of the x-ray tube in kilovolts, we can use the following formula:
Energy of a photon = Planck's constant × frequency of the photon
Ephoton = h * f
Where Ephoton = hc / λ and
h = Planck's constant = 6.626 x 10⁻³⁴ J s,
c = speed of light = 3 x 10⁸ m/s,
λ = 0.0093 nm.
Therefore, we can calculate f as follows:f = c / λ = (3 x 10⁸) / (0.0093 x 10⁻⁹) Hz = 3.2258 x 10¹⁷ Hz
Then, we can find the energy of a photon:Ephoton = h * f = 6.626 x 10⁻³⁴ J s × 3.2258 x 10¹⁷ Hz = 2.14 x 10¹⁶ J
The energy of a photon is also related to the accelerating voltage, V as follows: Ephoton = eV where e = the elementary charge = 1.602 x 10⁻¹⁹ C
Therefore, we can find the accelerating voltage, V
:V = Ephoton / e = 2.14 x 10⁻¹⁶ J / 1.602 x 10⁻¹⁹ C = 1335 kV.
Therefore, the accelerating voltage of the x-ray tube in kilovolts is 1335 kV.
Thus, the accelerating voltage of the x-ray tube in kilovolts is 1335 kV.
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Atoms of the same element that contain different numbers of neutrons are called _____.
Atoms of the same element that contain different numbers of neutrons are called Isotopes.
Isotopes are members of an element family that have the same number of protons but differ in the number of neutrons. The atomic number of an element on the Periodic Table is determined by the number of protons in its nucleus.
The mass of an isotope, which is the total amount of protons and neutrons, is used to identify it. Isotopes are often written in one of two ways. They both employ the atomic mass, which is defined as mass = (number of protons) + (number of neutrons).
Carbon-14, tritium (hydrogen-3), chlorine-36, uranium-235, and uranium-238 are examples of radioactive isotopes.
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Science If you want to find the energy quantum of light, you multiply the frequency of the radiation (v) by "h". What is "h"?
Answer:
"h" signifies Planck's constant
Explanation:
In the equation energy E = h X v
The "h" there signifies Planck's constant
Planck's constant is a value, that shows the rate at which the energy of a photon increases/decreases, as the frequency of its electromagnetic wave changes.
It was named after Max Planck who discovered this unique relationship between the energy of a light wave and its frequency.
Planck's constant, "h" is usually expressed in Joules second
Planck's constant = \(6.62607015 \times 10^{-34} J.s\)
PLEASE HELP ME,, I WOULD BE SO HAPPY
You push against a wall with all your might and generate an insane 2500N of force. However, the wall doesn't move. How much work did you do?PLEASE HELP ME,, I WOULD BE SO HAPPY You push against a wall with all your might and generate an insane 2500N of force. However, the wall doesn't move. How much work did you do?
Answer: None
Explanation:
Since the wall did not move, it does not matter how much force you generated. You did no work in the physics sense.
Work is calculated by multiplying the displacement by the force. Since there was no displacement (no movement) we put the value as 0. 0 times anything is still 0, as shown below.
2500 N * 0 = 0.
You did no work, or 0 J of work.
a soccer ball at rest is kicked horizontally for a displacement of 21 m. What is the ball's final velocity after 4s
The final velocity of the ball after 4s will be 5.25m/s2.
What is Velocity?Velocity of a body is its speed and the direction in which it is moving.
Velocity is the directional speed of an object in motion as an indication of its rate of change in position as observed from a particular frame of reference and as measured by a particular standard of time (e.g. 60 km/h northbound).
It can also be described as the instantaneous rate of change of the body's distance traveled, and the direction in which the distance is changing.
Velocity is a vector quantity as it has both magnitude and direction.
From the question;
displacement, s = 21m
time = 4s
Velocity = displacement / time
Velocity = 21/4
Velocity = 5.25m/s2
Hence, the ball would move with a velocity of 5.25m/s2.
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Let's assume that the camera was able to deliver 1.4 frames per second for this photo, and that the car has a length of approximately 5 meters. Using this information and the photo itself, approximately how fast did the car drive?
The car was driving at approximately 7 meters per second.
To determine how fast the car was moving, which is that the camera took 1.4 frames per second and the car's length is 5 meters, and then calculate the car's speed.
Here's how to solve it.
Step 1: Find the distance traveled by the car
The length of the car is given in meters, so you don't need to convert it. The distance traveled by the car can be calculated by counting the number of car lengths that are visible in the photo. From the photo given, it appears that there are about 7 lengths of the car visible. Therefore, the distance traveled by the car is:
Distance traveled by the car = 7 x 5 meters = 35 meters
Step 2: Find the time it took for the car to travel this distance
The camera took 1.4 frames per second for this photo. Since there are 7 car lengths visible in the photo, the time it took for the car to travel this distance can be calculated as follows:
Time = (Number of frames) / (Frames per second)Time = 7 / 1.4 = 5 seconds
Step 3: Calculate the speed of the car
The speed of the car can be calculated using the formula:
Speed = Distance / Time
Substituting the values we found in Steps 1 and 2, we get:
Speed = 35 meters / 5 seconds = 7 meters per second
Therefore, the car was driving at approximately 7 meters per second.
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a ringing alarm clock is put under a glass jar. the air is slowly removed from the space around it. what will happen as the air is removed?
The level of the sound can be decreased by gradually draining the air from a plastic bottle. The sound about an alarm clock cannot be heard at all since sound cannot travel through a vacuum.
What will occur once the air is drained away?A ringing alarm clock will gradually grow quieter when air is gently drawn out of the area around it and placed beneath a glass jar. Because sound is indeed a mechanical wave that moves across a medium, this is the case.
We can hear the sound because the air molecules in the jar shake as sound waves pass through them. The amount of air particles available to vibrate and convey sound waves declines when air is eliminated, which lessens the sound's strength. There will be so little remaining air to vibrate due to the almost full removal of the air that the sound will be almost undetectable.
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The maximum efficiency possible in an energy-conversion process that is not limited by the second law of thermodynamics.100%95%30%15%1%
100% is the maximum efficiency possible in an energy-conversion process that is not limited by the second law of thermodynamics.
The maximum efficiency possible in an energy-conversion process that is not limited by the second law of thermodynamics is 100%.
However, in reality, no energy conversion process can achieve 100% efficiency due to various factors such as friction, heat loss, and other forms of energy dissipation.
The second law of thermodynamics states that the total entropy (disorder or randomness) of a closed system will always increase over time, making it impossible to convert all of the energy input into useful work output without some energy loss or waste.
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A motorboat starting from rest travels in a straight line on a lake.(a)If the boat achieves a speed of 7.00 m/s in 15.0 s, what is the boat's average acceleration?magnitude in ____m/s2 What direction? opposite to the direction in motion or in the direction of motion? (b)If the boat continues with the same acceleration, what would be its speed after another 6.00 s? in ____m/s
a)
Explanation:The initial speed, u = 0 m/s (The boat starts from rest)
Th final speed, v = 7 m/s
The time, t = 15 s
To find the average acceleration, use the equation below
\(\begin{gathered} a=\frac{v-u}{t} \\ \\ a=\frac{7-0}{15} \\ \\ a=\frac{7}{15} \\ \\ a=0.47\text{ m/s}^2 \end{gathered}\)The acceleration of the boat is in the direction of the motion
b) If the boat continues with the same acceleration for another 6 seconds:
Total time, t = 6 + 15 = 21 s
Speed = Acceration x time
Speed = 0.47 x 21
Speed = 9.87 m/s
23. As the frequency of a wave increases, the period of the wave
Answer: decreases
Explanation: As frequency increases the period of a wave decreases because they have an inverse relationship. The equation for wave period (T) is the inverse of the frequency (f). So, as frequency increases, the value for period will decrease accordingly.
When the sun and moon are lined up and pull together, the tides they raise are called:________.
Answer:
spring tides
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how is matter identified
Answer:
It can be identified using physical properties such as density
Explanation:
Matter is any substance that has mass and takes up space. Therefore, it can be identified using physical properties such as density
Explanation:
We can identify matter by:
1.physical properties.
2.chemical properties.
Hope this helps...
Your spacecraft lands on an unknown planet. To determine the characteristics of this planet, you
drop a 1.3 kg wrench from 5 m above the surface and find that it hits the ground 0.811 s later.
You know that the circumference of the planet is 62,400 km. What is the planet's mass?
Answer:
2.25*10^25
Explanation:
Calculate the gravitational attraction between two objects which masses are: mass A: 2.5kg, mass B: 5kg. The distance between them is 250m.
From the calculation, the gravitational force of attraction is 1.33 * 10^-14 N.
What is the gravitational force?The gravitational force is an attractive force that acts between any two masses.
It is given by;
F = Gm1m2/r^2
F = 6.67 * × 10−11 * 2.5 * 5/(250)^2
F = 83.4 × 10−11 /62500
F= 1.33 * 10^-14 N
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Hello, I needed help with the question boxes on what to fill in.
Given:
To find:
Fill in the blanks
Explanation:
1) Energy can undergo conversion, changing from one form to another. For example, a wind turbine converts the mechanical energy of the wind into electric energy in the power grid. This power grid can then be converted into thermal energy by an electric heater.
2) Solar panels generate electrical energy by taking radiant energy from the sun and having it undergo conversion. This process does obey the law of conservation of energy because energy isn't randomly created, but it is simply converted.
Think about the relationships you observed and then answer these questions:
a. What the difference between the quantities that have vector drawings and the ones that don’t?
b. In your own words, what does "elastic collision" mean?
c. List quantities that have the same value (and direction if a vector) before and after the collision.
In terms of direction, a scalar quantity differs from a vector quantity. A vector has direction, whereas a scalar does not. A vector quantity can be multi-dimensional while a scalar quantity can be said to be expressed in one dimension.
Define elastic collision.
An elastic collision is one in which the system does not experience a net loss of kinetic energy as a consequence of the collision. In elastic collisions, momentum and kinetic energy are both preserved.
It is believed that during collisions, the objects interact for such a brief period of time that the impulse caused by outside forces is insignificant. Consequently, the system's overall momentum just before the collision is the same.
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Suppose you flip 20 fair coins:
a) How many possible outcomes (microstates) are there?
b) What is the probability of getting the sequence: HTHHTTTHTHHHTHHHHTHT (in exactly that order)?
c) What is probability of getting 12 heads and 8 tails (in any order)?
There are 1,048,576 possible outcomes (microstates) when flipping 20 fair coins. The probability of getting the sequence "HTHHTTTHTHHHTHHHHTHT" in exactly that order is approximately 9.5367e-07.
a) There are 2 possible outcomes (heads or tails) for each coin flip, and since there are 20 coin flips, the total number of possible outcomes, or microstates, is given by 2²⁰
Answer: 2²⁰= 1,048,576 possible outcomes.
b) To calculate the probability of getting the sequence "HTHHTTTHTHHHTHHHHTHT" in exactly that order, we need to determine the probability of obtaining each individual outcome (head or tail) and multiply them together.
Since each coin flip is independent and has a 1/2 chance of resulting in either heads or tails (assuming the coins are fair), the probability of obtaining the desired sequence is (1/2)²⁰
Answer: (1/2)²⁰≈ 9.5367e-07
c) To calculate the probability of getting exactly 12 heads and 8 tails in any order, we need to determine the number of ways to arrange 12 heads and 8 tails within the 20 coin flips.
This can be calculated using the binomial coefficient, also known as "n choose k." The formula for the binomial coefficient is:
C(n, k) = n! / (k! * (n-k)!)
Where n is the total number of coin flips and k is the number of heads.
Using this formula, the probability can be calculated as follows:
P(12 heads and 8 tails) = C(20, 12) * (1/2)^20
Calculating C(20, 12):
C(20, 12) = 20! / (12! * (20-12)!)
= 20! / (12! * 8!)
= (20 * 19 * 18 * 17 * 16 * 15 * 14 * 13) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1)
= 125,970
P(12 heads and 8 tails) = 125,970 * (1/2)^20
Answer: P(12 heads and 8 tails) ≈ 0.12013435364 (approximately)
a) There are 1,048,576 possible outcomes (microstates) when flipping 20 fair coins.
b) The probability of getting the sequence "HTHHTTTHTHHHTHHHHTHT" in exactly that order is approximately 9.5367e-07.
c) The probability of getting exactly 12 heads and 8 tails in any order is approximately 0.12013435364.
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Indicate the point where a monopoly will set its price.
Price
In a monopoly, the firm has the ability to set the price for its product in the market. The point where a monopoly will set its price depends on various factors, including the demand for the product, the firm's costs, and its profit-maximizing objective.
To determine the price, a monopoly will typically aim to maximize its profits. This means setting the price at a level where the marginal revenue (MR) equals the marginal cost (MC). Marginal revenue represents the additional revenue generated by selling one additional unit of the product, while marginal cost represents the additional cost incurred to produce one additional unit.
In a monopoly, the marginal revenue curve is downward sloping because the firm must lower the price to sell more units. The marginal cost curve, on the other hand, typically slopes upward as production increases due to diminishing returns.
The monopoly will set the price at the point where MR = MC. This is because at this price level, the additional revenue generated from selling one more unit is equal to the additional cost of producing that unit. By setting the price in this way, the monopoly can maximize its profits.
It's important to note that monopolies have market power and can charge prices higher than the marginal cost, leading to higher profits but potentially reduced consumer surplus and market efficiency.
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A box is being dragged across the floor at a constant speed by a rope pulling horizontally on it. friction is not negligible. identify all the forces acting on the box.
Weight (W), the normal force( N), and the tension force( T )in the string will all be forces operating on the box.
What is tension force?The tension force is described as the force transferred through a rope, string, or wire as opposing forces pull it.
The tension force is applied along the whole length of the wire, pulling energy equally on both ends.
A horizontally pulling rope is dragging a box across the floor at a consistent speed. Friction is significant.
Hence, the force acting on the box will be weight W, Normal force N, and the tension force T, in the string.
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PLEASE HELP ME!!
Question in image.
The fill in the gap answer is given below:
From there, it is pumped to the lungs through two vessels called the pulmonary arteries.
These arteries are an exception to the rule since they carry oxygenated blood to the lungs.
Gas exchange occurs in the lungs at the alveoli.
Blood enters the left atrium of the heart.
Blood must be distributed to all of the body's cells (1). Oxygen first enters the body when inhale (2). Oxygen is carried by red blood cells (3). Deoxygenated blood travels through the vena cava (4) to the right atrium (5) of the heart. It first enters the right ventricle (6), and is pumped to the lungs for gas exchange (7), where oxygen is taken in and carbon dioxide is expelled. From there, it is pumped to the lungs (8) through two vessels called the pulmonary (9) arteries. 10 Oxygenated blood to the Body(11), 12 Gas exchange occurs in the lungs at the Alveoli 13, From the lungs, 14. oxygenated blood travels through the 15. pulmonary veins, and enters the 16. left side of the heart. This is also an exception to the rule as these veins carry 17. oxygenated blood to the heart. 18. Oxygenated blood first enters the 19. left atrium, then moves to the 20. left ventricle, Then it is pumped out through the aorta (21) onto the body (22) and distributed to the cells body (23).
What is blood?Blood is a bodily fluid that circulates through the circulatory system of an organism, carrying oxygen, nutrients, hormones, and waste products to and from the cells. Blood is made up of red and white blood cells, platelets, and plasma. Red blood cells are responsible for carrying oxygen, while white blood cells help the body fight infections and diseases.
Therefore, Platelets play a role in blood clotting, and plasma is the fluid portion of blood that contains proteins and other substances. Blood plays a vital role in maintaining the health and well-being of an organism.
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See transcribed text below
Directions: Summarize how blood travels throughout the body using the following terms
and the sentence frames below. Each word should be used just once.
capillaries blood venacava left oxygen heart upper
eftatrium oxygenated lungs pulmonary right atrium deoxygenated
red blood cells inhale pulmonary right ventricle lungs lower Gas exchange
ventricle oxygenated aorta
1 must be distributed to 2l of the body's cells, Oxygen first
enters the body when | 2 Oxygenis carried by 3,
inthe 4. Deoxygenated blood travels through the inferior and superior
5 Itfirst enters the 6. . and is pumpedto the
T From there, it is pumped to the 8 through two vessels
called the 9. areries. These arteies are an exception to the rule
since they carry 10 bloodtothe
1 2 occurs inthe lungs at the 13,
From the lungs, 14. blood travels through the
15. veins, and enters the 16. side of the heart. This is also
an exception to the rule because these veins carry 17. bloodtothe
18, Oxygenated blood frstenters the 19, then moves to the left
2 Then itis pumped out through the 21 ontothe
2 and 23 body
A certain radioactive isotope has a half-life of approximately 1150 years. How
many years would be required for a given amount of this isotope to decay to
25% of that amount?
If the isotope has a half-life of 1150 years, this means that every 1150 years the amount of the isotope is halved. After one half-life, the amount is reduced to 1/2, after two half-lives it is reduced to 1/4, after three half-lives it is reduced to 1/8, and so on.
To determine how many years are required for the isotope to decay to 25% of its original amount, we need to determine how many half-lives it takes to get from 100% to 25%.
25% is the same as 1/4, so we need to determine how many times we need to halve the original amount to get to 1/4.
1/4 = (1/2)^n, where n is the number of half-lives
Solving for n:
n = log(1/4) / log(1/2)
n = 2
This means that it takes two half-lives for the isotope to decay to 25% of its original amount.
Since the half-life is approximately 1150 years, the time required for two half-lives is approximately:
2 x 1150 years = 2300 years
Therefore, it would take approximately 2300 years for a given amount of this isotope to decay to 25% of that amount.
a disc of radius 5.70 cm rotates about its axis and a point 1.90 cm from the center of the disc moves 34.5 cm in 12.2 s. calculate the angular speed of the disc.
The angular speed of the disc is approximately 1.495 rad/s.
To calculate the angular speed of the disc with a radius of 5.70 cm, where a point 1.90 cm from the center moves 34.5 cm in 12.2 s, proceed as follows:
1. Find the distance traveled by the point as a proportion of the circumference.
Distance traveled by the point = 34.5 cm
Circumference at 1.90 cm from the center = 2 * π * 1.90 cm = 3.80 * π cm
2. Calculate the proportion of the circumference traveled.
Proportion = Distance traveled by the point / Circumference at 1.90 cm from the center
Proportion = 34.5 cm / (3.80 * π cm) ≈ 2.905
3. Determine the angle in radians that the point has moved.
Angle in radians = Proportion * 2 * π
Angle in radians ≈ 2.905 * 2 * π ≈ 18.25 radians
4. Calculate the angular speed (omega).
Angular speed (ω) = Angle in radians / Time taken
Angular speed (ω) ≈ 18.25 radians / 12.2 s ≈ 1.495 rad/s
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L 6.3.2 Test (CST): Applications of Waves Question 5 of 10 Which event provides evidence that matter can reflect waves? O A. An audience member covers her ears during a loud concert. B. A laser beam bounces off a series of mirrors. C. A performer makes shadow puppets on a wall. D. The light from a fireworks show is seen miles away.
An audience member covers her ears during a loud concert shows evidence that matter can reflect waves.
Which event provides evidence that matter can reflect waves?An audience member covers her ears during a loud concert is an event that provides evidence that matter can reflect waves because a sound is heard again and again due to the reflection of waves. This repetition of sound is due to the property of reflection of sound waves.
So we can conclude that an audience member covers her ears during a loud concert shows evidence that matter can reflect waves.
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Answer:
A laser beam bounces off a series of mirrors
Explanation:
Wood is lighter than the iron of same volume,why?
Answer:
Wood is lighter than iron of the same volume because wood has a lower density. Density is a measure of mass per unit volume, and iron is denser than wood. Iron has tightly packed atoms with strong metallic bonds, while wood has a porous structure with empty spaces between its fibers and cells. These empty spaces in wood reduce its overall mass for a given volume, resulting in its lighter weight compared to iron.
Explanation:
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