A 12 cm diameter cd has a mass of 21 g. what is the cd's moment of inertia for rotation about a perpendicular axis through the edge of the disk?
The moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
Moment of inertia
Moment of inertia is referred to as the product of mass of section and the square of the distance between the reference axis and the centroid of the section.
Moment of inertia of solid cylinder or disk is expressed as;
I = 1/2 × mr²
Given the data in the question;
Mass of disk m = 21g = 0.021kgDiameter of disk d = 12cm = 0.12mRadius r = d/2 = 0.12m / 2 = 0.06mMoment of inertia I = ?We substitute our given value into the expression above.
I = 1/2 × 0.021kg × (0.06m)²
I = 1/2 × 0.021kg × 0.0036m²
I = 3.78 × 10⁻⁵ kgm²
Therefore, the moment of inertia for rotation about the perpendicular axis through the edge of the disk is 3.78 × 10⁻⁵ kgm².
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Houston homes has outstanding debt of $78 that is due in one year. given the financial distress costs, debtholders will receive only $62 if the firm does well and $24 if it does poorly. the probability that the firm will do well is 75 percent and the probability that it will do poorly is 25 percent. assuming a discount rate of 9.6 percent, what is the current value of the debt?
The current value of the debt based on the probability given about Houston homes is $47.90.
How to calculate the current value of debt?From the information given, the expected payment to debt holders will be:
= ($62 × 75%) + ($24 × 25%)
= $46.50 + $6
= $52.50
The current value of the debt will be:
= 52.50 / (1 + 9.6%)
= 52.50/1.096
= $47.90
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If this scenario continues, what do you think will happen to the populations in the next 100 years? why do you think this might happen?
Read and choose the option with the correct word or words to complete the sentence. quiero viajar por avión a ecuador y necesito comprar ________. el itinerario un lago el boleto la red
Answer:
El Boleto
Explanation:
(Quiero) (viajar) (por) (avión) (a ecuador) (y necesito) (comprar) ________.
(I want) (to travel) (by) (airplane) (to ecuador) (and need) (to buy) [a] ________.
El means "The," specifically used to refer to a "male" word (ending with o or e). Boleto on the other hand, means ticket. You need a ticket to board an airplane, ergo, you need el boleto.
Answer:
El Boleto
Explanation:
El Boleto
Years ago, home depot had an annual dividend of $0.90. if you owned 4,000 shares of home depot, how much did you receive annually in dividends?
Given:
# of shares = 4000
Dividend per share = 0.90
The income by dividends is the product of the number of shares and the dividend per share.
Income Dividends = # of shares x Dividend per share
4000 x 0.90 = 3600
What happens to standard deviation when mean decreases
Answer:
Data are getting more concentrated around the mean
Explanation:
Introduction to linear algebra 5th edition answers
Answer:
Ive already seen several questions incomplete like this.
Explanation:
Whats your question?
What do you need help on?
I took algebra a while ago so I may be able to help you.
What is pieta?a.a sculpture of mary holding jesus’ bodyb.a sculpture of davidc.a painting of the creation of mand.a self-portrait of michelangelo please select the best answer from the choices providedabcd
The magnitude of vector u is 34, and the magnitude of vector v is 20. the dot product u · v = –10. what is the approximate angle between the vectors?
The approximate angle between the vectors named U and V with their magnitudes and dot product is gotten as; 91°
What is the angle between the vectors?We are given;
Magnitude of Vector U; |U| = 34
Magnitude of vector V; |V| = 20
Dot Product of u and v; U.V = -10
Formula for angle between vectors is;
θ = cos⁻¹[(U.V)/|U| * |V|]
θ = cos⁻¹(-10/(34 * 20))
θ = cos⁻¹-0.0135
θ ≈ 91°
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Answer: C
Explanation:
Thirty automobiles were tested for fuel efficiency
NO WAY REALLY?!!?! OMG
The development of specialized tissues and organs in a multicellular organism directly results from
if an individual is heterozygous for a particular trait
Using a simple interest calculation which situation would be best after one year
Answer: having $524.85 on a credit card with a 8.4% APR and $790.00 in a savings account at a 4.35% APR
Explanation:
just took quiz and got it right :)
The patterns of receptive behavior which becomes habitual and conventional part of living.
The patterns of receptive behavior which becomes habitual and conventional part of living is called; Folkways
What is the behaviour pattern?Folkways is a type of social norms, that depicts the ways of living, reasoning, and behaviour of people, without intentionality and are generally expected or accepted.
Now, folkways is not important in terms of morality, but it is assumed that those behaviors should be in line with the conventional social norms often associated with a distinct known group.
Thus, Folkways is the patterns of repetitive behavior which becomes habitual and conventional part of living.
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In the 1960s, american men had to register for the draft if they were between the ages of 18 and 25. 19 and 27. 20 and 29. 21 and 31.
In the event of a national emergency, the draft might yet be reinstated by a congressional act. The organization in charge of maintaining a draft and registering men is known as the Selective Service System.
What selective service had to register for the draft?The compulsory enlistment of people in the armed forces is known as a draft. Since 1973, the entire American military has been comprised of volunteers.
Selective Service registration is necessary for almost all males between the ages of 18 and 25 who are citizens of the United States or who have legal status there.
Citizens must register within 30 days of becoming 18 years old. Within 30 days after their arrival in the United States, immigrants must register.
Therefore, 18 is the legal age, and they were desperate for soldiers, so the minimum age was as low as it could be.
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#SPJ5
Which characteristic of the sun primarily determines the orbits of planets in our solar system?
Answer:
Strong Gravitational Field
Explanation:
One train is traveling 120 m with a velocity of 52 km/h
Answer:
11 seconds
Explanation:
hope this helps, sorry if wrong.
What is the difference between vertex and axis of symmetry
The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.
hope it helps...!!!
Compare the boiling points of 1-pentyne and 1-octyne. compare the vapor pressure curves of 1-butene and 1-heptene. explain your reasoning.
With regards to vapor pressure curves, we can say that 1-butene has higher vapor pressures at lower temperatures than 1-heptene.
How to Interprete Vapour Pressure Curves?
With regards to boiling points, 1-pentyne has a lower boiling point than 1-octyne.
With regards to vapor pressure curves, we can say that 1-butene has higher vapor pressures at lower temperatures than 1-heptene.
Now, these supposed differences in boiling points and vapor pressures arise due to thedifferences in the chain lengths of the molecules.
Larger molecules have stronger intermolecular forces of attraction than smaller molecules. Thus, more energy is required to move larger molecules into the vapor phase from the liquid state.
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A swimsuit is on sale for $ 29.75 $29.75. if the original price of the swimsuit is $ 35 $35, what is the percent of the discount?
The percentage of the discount of the swimsuit with original price of $35 and current price of $29.75 is; 15%
What is the discount percenttage?We are given;
Current price of swimsuit = $29.75
Original price of swim suit = $35
Difference in price = $35 - $29.75
Difference in price = $5.25
Percentage discount = 5.25/35 * 100%
Percentage discount = 15%
In conclusion, the percentage of the discount of the swimsuit is 15%
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A student ran a distance of miles each day for 5 days. then the student ran a distance of miles each day for the next 5 days. what was the total distance in miles the student ran during these 10 days?
Hence, The total distance in miles the student ran during these 10 days is 38.75 miles.
What is distance?Distance is the total length between two points.
To calculate the total distance in miles covered by the student, during these 10 days ran, we use the formula below
Formula:
D = d₁T+d₂T........... Equation 1Where:
D = Total distanced₁ = distance covered each day in the first 5 daysd₂ = distance covered each day in the next 5 daysFrom the question,
Given:
d₁ = 3[tex]\frac{1}{2}[/tex]miles = 7/2 milesT = 5 Daysd₂ = 4[tex]\frac{1}{4}[/tex] miles = 17/4 milesSubstitute these values into equation 1
D = [(7/2)×5]+[(17/4)×5]D = 17.5+21.25D = 38.75 milesHence, The total distance in miles the student ran during these 10 days is 38.75 miles.
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Complete question: A student ran a distance of 3[tex]\frac{1}{2}[/tex] miles each day for 5 days. then the student ran a distance of 4[tex]\frac{1}{4}[/tex] miles each day for the next 5 days. what was the total distance in miles the student ran during these 10 days?
The scatterplot and table show the weekly profit in dollars earned
Using your own words, describe the characteristics of stalin’s rule in one sentence.
A perfect characterisation of Stalin's rule is that the rule is regimented and total under strict control.
Stalin's RuleUnder the Stallin's Rule, the peopl however enjoyed some benefits with regards to what happened to American during the great depression despite the Unlawful use of power under Stallin. Recreation then was basically sports and education is somewhat like flip learning, you have to learn from the media on your own.
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Isabella received an excellent job offer for the position of chief financial officer of her company. this was an opportunity for which she had worked very hard for a long time. it required her to move to another state. her family and friends were happy for her. however, her partner, whom she had been dating for two years, asked her not to take the job. over the last few months, isabella felt like she and her partner were not getting along very well and that their life goals were not aligning. isabella decided to accept the job offer and break off the relationship with her partner. although she was saddened by the relationship dissolution, she was excited about the future.
Based on the information provided, we can deduce that Isabella is suffering from cognitive dissonance.
What is cognitive dissonance?Cognitive dissonance can be defined as a mental state in which an individual has inconsistent thoughts, conflicting beliefs, or attitudes, with respect to behavioural decisions and attitudinal change.
This ultimately implies that, cognitive dissonance is a psychological disorder that highlights the mental conflict that arises when an individual's behaviors, thoughts, and beliefs are contradictory because they do not align.
In conclsuion, we can deduce from the information provided that Isabella is suffering from cognitive dissonance.
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How many grams of sodium chloride must be added to make 400. ml of a 0. 600 m sodium chloride
Taking into account the definition of molarity, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.
Definition of molarityMolar concentration or molarity is a measure of the concentration of a solute in a solution and indicates the number of moles of solute that are dissolved in a given volume.
The molarity of a solution is calculated by dividing the moles of solute by the volume of the solution:
[tex]Molarity=\frac{number of moles}{volume}[/tex]
Molarity is expressed in units [tex]\frac{moles}{liter}[/tex].
Moles of sodium chlorideIn this case, you know:
Molarity= 0.600 Mnumber of moles= ?volume= 400 mL= 0.400 L (being 1000 mL= 1 L)Replacing in the definition of molarity:
[tex]0.600 M=\frac{number of moles}{0.400 L}[/tex]
Solving:
number of moles= 0.600 M× 0.400 L
number of moles= 0.24 moles
Mass of sodium chlorideBeing the molar mass of sodium chloride 58.45 [tex]\frac{g}{mole}[/tex], that is the amount of mass that a substance contains in one mole, the mass of sodium chloride can be calculated as:
0.24 moles×58.45 [tex]\frac{g}{mole}[/tex]= 14.028 grams
Finally, 14.028 grams of sodium chloride must be added to make 400 mL of a 0.600 M sodium chloride.
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which of the following diseases is not spread by droplet infection?
Gonorrhea refers to the type of disease which is not spread by droplet infection.
What is Gonorrhea?This is known as a se×ually transmitted disease which is caused by a bacterium.
It is spread through se×ual contact and not through droplet infection which was why it was chosen as the most appropriate choice.
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What is the measure of each interior angle of a regular decagon brainly
Alexis is trying to partition segment ab in the ratio 2:3 using a compass. select the step that is missing in his process.
The process that Alexis should use to partition segment ab in the ratio 2:3 using a compass is; As detailed below
How to partition a Line Segment?To divide a line segment in 2:3 using compass, the steps that alexis has to follow these steps:
1) Draw any ray aₓ which makes an acute angle with segment ab.
2) Locate points a₁, a₂, a₃, a₄, a₅ on the ray aₓ such that aa₁, a₁a₂, a₂a₃, a₃a₄ and a₄a₅ are equal, with the aid of a compass.
3) Since alexis has to divide the line in ratio of 2:3, then the ray aₓ is divided into 5 equal parts.
4) Join the point b with the point a₅
5) From the point a₂, draw a line parallel to ba₅ and this can be drawn by making an angle equal to ∠aa₅b
6) Now, consider that the line that is drawn parallel to ba₅ intersect the given line ab at the point c.
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A shoe box width a dimension of 8 inches by 10 inches by 9 inches. find its surface area.
Everything looks like a nail, inc. is a manufacturing company that produces hammers. the company faces various fixed and variable costs in the short run. determine which of everything looks like a nail's costs are fixed costs and which are variable costs. assume the company cannot easily adjust the amount of capital that it uses and that salaries are negotiated only once per year.
Examples of fixed costs include equipment costs and salaries; while variable costs include costs of materials and transportation costs.
What is "cost"?In a company, costs include all the money that has to be paid for the company to offer a product or service.
What is the difference between a variable cost and a fixed cost?Variable costs can vary or change depending on the number of units produced; on the other hand, fixed costs are constant.
What are some fixed and variable costs?Fixed costs:
Equipment cost.Interests on a debt.Salaries.Variable costs:
Cost of materials such as metal or wood.Transportation and packaging costs.Learn more about costs in: https://brainly.com/question/15135554
