The quotient of and a number n results in. What is the value of n?
The quotient of a number 8.4x10⁹ and a number n results in 5.6 x 10^27, with the value of n is 1.5×10⁻¹⁸.
What is the quotient of a number?Quotient is the resultant number which is obtained by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,
[tex]q=\dfrac{a}{b}[/tex]
Here, (a, b) are the real numbers.
The two number given in the problem are, 8.4x10⁹ and n. The quotient when first number is divided with second is 5.6 x 10^27. Thus,
[tex]\dfrac{8.6\times10^9}{n}=5.6\times10^{27}[/tex]
Rearrange the equation for n as,
[tex]n=\dfrac{8.6\times10^9}{5.6\times10^{27}}\\n=\dfrac{8.6\times10^{9-27}}{5.6}\\n=1.5\times10^{-18}[/tex]
Thus, the quotient of a number 8.4x10⁹ and a number n results in 5.6 x 10^27, with the value of n is 1.5×10⁻¹⁸.
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Cooper and his children went into a bakery and where they sell cupcakes for $2.50 each and donuts for $1.50 each. cooper has $40 to spend and must buy a minimum of 18 cupcakes and donuts altogether. if cooper decided to buy 7 cupcakes, determine the maximum number of donuts that he could buy. if there are no possible solutions, submit an empty answer.
Answer: He can buy a maximum of 15 donuts
Explanation: If he bought 7 cupcakes costin $2.50 each then you would multiply 2.50 by 7 which would give you $17.50
then you subtract 17.50 from 40 which gives $22.50 left to use for donuts
then you know you need to have a minimum 18 cupcakes and donuts together so we multiply 1.50 x 11 for the remaining 11 donuts you need and that leaves you with six dollars then if you multiply 1.50 x 4 it gives you the remaining 6 dollars you need so the max number of donuts you may buy is 15
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How did otto i gain support from many church bishops?
The way that Otto I gained support from many church bishops is; By using the power of lay investiture.
What is Lay Investiture?Lay Investiture is defined as the system or process whereby the religious leaders are elected and given appointment by the rulers or monarchs of secular states or kingdoms.
Otto I was the ruler of Germany and the Roman empire after the death of his father Henry I. Thus, he took responsibility for installation of the leadership of the local church.
Due to the fact that the installation was supposed to be the rights and duty of the church in appointing the local leaders, Otto's act led to an increase in his loyal followers and this practice of investiture gained a large number of support from many Bishops.
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Solar cells convert this type of energy directly into electrical energy.
Answer:
Sunlight :)
Explanation:
A PV cell, (solar cell) directly converts sunlight into electricity.
After the torque has been applied for 0.3 s, what are the magnitude and direction of the angular momentum about the center of the disk?
The magnitude and direction of the angular momentum about the center of the disk is 0.996 kgm²/s.
Angular acceleration of the diskThe angular acceleration of the disk is determined by applying the principle of conservation of angular momentum as shown below;
Fr = Iα
α = Fr/I
Where;
I is the moment of inertia of the solid diskI = ¹/₂MR²
I = ¹/₂ x (0.5) x (0.08)²
I = 1.6 x 10⁻³ kgm²
[tex]\alpha = \frac{14 \times 0.22}{1.6\times 10^{-3}}\\\\\alpha = 1,925 \ rad/s^2[/tex]
Final angular velocity of the diskωf = ωi + αt
ωf = 45 + (1925 x 0.3)
ωf = 622.5 rad/s
Angular momentumL = Iω
L = (1.6 x 10⁻³) x (622.5)
L = 0.996 kgm²/s
Thus, the magnitude and direction of the angular momentum about the center of the disk is 0.996 kgm²/s.
The complete question is below:
A uniform solid disk with radius 8 cm has mass 0.5 kg (moment of inertia I = (1/2)MR²). A constant force 14 N is applied as shown. At the instant shown, the amount of string that has wound off the disk is d = 22 cm, and the angular velocity of the disk is 45 radians/s into the page.
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Lesson 2 skills practice geometric proof answer key
Answer:
huh
Explanation:
3. he took the bad news with surprising and showed no emotion.
Explanation:
I don't know what the answer choices are
Which of these states would be the best location for solar panels
Answer:the answer is the most radiation
Explanation:
Bmx company has one employee. fica social security taxes are 6.2% of the first $137,700 paid to its employee, and fica medicare taxes are 1.45% of gross pay. for bmx, its futa taxes are 0.6% and suta taxes are 5.4% of the first $7,000 paid to its employee.
The BMX tax for situation A, B and C are respectively calculated as; $282.3, $327.6 and $1600.4.
How to Calculate Social Security taxes?We are given;
When the FICA Social Security = 6.2% of the first $128,400
Then FICA Medicare = 1.45% of gross pay.
Also, FUTA = 0.6%
Then SUTA = 5.4% of the first $7,000 paid
Now, Gross Pay through August 31 -----Gross Pay for September
A ⇒ $5,100 ⇒ $2,200
B ⇒ 2,300 ⇒ $2,400
C ⇒ 122,700 ⇒ 8,600
In case of A;
FICA is calculated by multiplying the tax rate by the corresponding amount;
FICA social security tax = $2,200 * 0.062 = $136.4
FICA Medicare = $2,200 * 0.0145 = $31.90
FUTA and also SUTA are calculated by multiplying the excess amount by the respective tax rate.
FUTA taxes = ($7,000 - $5,100) * 0.006 = $11.40
SUTA taxes = ($7,000 - $5,100) * 0.054 = $102.60
BMX tax in situation A = $136.4 + $31.90 + $11.40 + $102.60
BMX Tax = $282.3
In case B;
The gross pay is multiplied by the respective tax rate in this situation because the employee has not reached $7,000 in wages.
FICA social security tax = $2,400 * 0.062 = $148.8
FICA Medicare = $2,400 * .0145 = $34.80
FUTA taxes = $2,400 * 0.006 = $14.40
SUTA taxes = $2,400 * 0.054 = $129.6
BMX tax in situation B = $148.8 + $34.80 + $14.40 + $129.6
BMX Tax = $327.6
In case of C;
The maximum amount of wages subject to social security tax is $128,400. Thus;
FICA social security tax = ($128,400 - $122,700) * 0.062 = $353.40
FICA Medicare: $8,600 * 0.0145 = $1247.00
Total taxes for BMX = $353.40 + $1247.00 = $1600.4
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Sam offered a treat to her son if he would behave while they shopped for groceries. this treat would most likely be considered a(n) __________ by psychologists. a. instinct b. motivation c. need d. incentive
Sam offered a treat to her son if he would behave while they shopped for groceries. this treat would most likely be considered a(n) Incentives by psychologists.
What is Incentives?
Extrinsic and intrinsic incentives are the two types of rewards that can be categorized. The driving force behind people's actions is internal. When engaging in activities, people are frequently more motivated by the work at hand or by the internal reward than by the outward reward.
There are various internal benefits; for instance, engaging in activities can make people feel good about themselves and satisfy their sense of accomplishment.
When someone is motivated to act in a given way for their own personal gratification, that is known as an intrinsic incentive.
Therefore, Sam offered a treat to her son if he would behave while they shopped for groceries. this treat would most likely be considered a(n) Incentives by psychologists.
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18. refers a story or an account of something, dealing with sequences of events an experiences, though not necessarily in strict order.
A. Plot C. characters B. Narrative D. point of view
19. Which does not belong to the group?
A, novel C. short stories B. parables D. editorial text
20. It is a narrative that consist of people, events, or imaginary places that are not based on the facts of his
A. fictional narrative C. setting B. non-fictional Narrative D. theme
21. The element of the narrative that states when and where the story happens.
A. characters C. theme B. dialogue D. setting
22. Hero and villains are the in the narrative. A. characters C. plot B. theme D. title
23. is the sequence of events that occur or makes up a story?
A. theme C. plot B. exposition D. climax
24. What is a theme? A. It is the central message of the story. B. It is the protagonist and antagonist in the story. C. It is the thread of events. D. It is the where and when the story happens.
25. The following elements may lead us to find the theme of the narrative except one, which is it? A. Title B. dialogue C. Characters D. climax only 2
18.) narrative
19.) editorial text
20.) fiction
21.) setting
22.) characters
23.) it is the central message of the story
25.) dialogue
Each person in a group of students was identified by year and asked when he or she preferred taking classes
Answer:
by the year he or she wanted
The molar solubility of ________ is not affected by the ph of the solution
Answer:
carbon I tink but ti may be water
A toy doll and a toy robot are standing on a frictionless surface facing each other. the doll has a mass of 0.20 kg 0.20 kg , and the robot has a mass of 0.30 kg 0.30 kg . the robot pushes on the doll with a force of 0.30 n 0.30 n . the magnitude of the acceleration of the robot is
The magnitude of the acceleration of the robot that pushes the doll with a force of 0.3 N is; 1 m/s²
How to find the magnitude of acceleration?We are given;
Mass of the toy doll; m = 0.2 kg
Mass of the robot; M = 0.3 kg
Force applied by the robot; F = 0.3 N
The magnitude of the acceleration of the robot is derived from Newton's second law of motion;
F = ma
where;
a is the acceleration of the robot
Thus;
0.3 = 0.3a
a = 0.3/0.3
a = 1 m/s²
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550-nm light passes through a diffraction grating with 3000 lines per centimeter. the screen is 115 cm away from the grating. at what angle, measured in degrees, is the 2nd-order bright fringe located?
The angle measured in degrees at which the 2nd-order bright fringe located is located is; 58.78°
What is the angle of the diffraction grating?Formula for diffraction grating is; dsinθ = mλ
where;
d = grating spacing = 1/(3000 lines per cm) = 1/3 × 10⁻⁵ m
m = order of fringe
λ = wavelength of light = 550 nm = 550 × 10⁻⁹ m.
Now, tanθ = x/D
where;
x = distance of nth order fringe from central maximum.
D = distance of screen from grating = 115 cm = 1.15 m
Now sinθ = d/mλ
θ is small and so we can approximate as sinθ ≅ tanθ
Thus;
d/mλ = x/D
for a second order bright fringe, m = 2.
d/2λ = x/D
x = dD/2λ
For a dark fringe, we have
d/(m + 1/2)λ = x'/D
where;
x' is the distance of the fringe from the central maximum.
For a second-order dark fringe, m = 2. Thus;
d/(2 + 1/2)λ = x'/D
d/(5/2)λ = x'/D
2d/5λ = x'/D
x' = 2dD/5λ
So, the distance between the 2nd order bright fringe and the 2nd dark fringe is; x" = dD/2λ - 2dD/5λ
x" = dD/10λ
Plugging in the values of the variables, we have;
x" = 1/3 × 10⁻⁵ m × 1.15 m/(10 × 550 × 10⁻⁹ m)
x" = 1.15/165 × 10² m
x" = 0.697 m
x'' = 69.7 cm
Thus;
tan θ = x/D = 115/69.7
θ = tan⁻¹(115/69.7)
θ = 58.78°
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If the anode compartment contains [so42−]= 1.30 m in equilibrium with pbso4(s), what is the ksp of pbso4?
The Solubility product constant (Ksp) for for the dissociation of PbSO₄ given by [Pb²⁺][SO₄²⁻].
What is solubility constant?Solubility product constant (Ksp) refers to the equilibrium constant that describes a solid substance (solute) being dissolved in an aqueous solution.
The properly balanced chemical equation for the dissociation of PbSO₄ is given by:
PbSO₄(s) ⇆ Pb²⁺(aq) + SO₄²⁻(aq)
Thus, the Ksp for the above chemical reaction is given by:
Ksp = [Pb²⁺][SO₄²⁻]
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Prove that the product of any two consecutive integers is even
Answer:
Credit: Luqman Khan
Explanation:
n(n+1)
n^2+n
check first case n=1
1+1=2 2(1)
it works for first case
assume true for n=k
k^2+k=2A
check n=k+1
(k+1)^2+(k+1)
k^2+2k+1+k+1
k^2+3k+2
k^2+k+2k+2
2A+2k+2
2(A+K+2)
It works for first case. If it works for n=k, then it also works for n=k+1
Then it is true for all 2 consecutive numbers, by mathematical induction
The length of the apothem of the hexagon is about inches. The perimeter of the hexagon is inches. The area of the hexagon is about square inches
Answer:
The length of the apothem of the hexagon is about
13.9 inches.
The perimeter of the hexagon is
96.0 inches.
The area of the hexagon is about
667.2 square inches.
Explanation:
Answer:
1) 13.0
2) 96.0
3) 667.2
Explanation:
What does this dialogue reveal about paul? he does not always keep his word. he is easily intimidated by sutcliffe. he enjoys working with mitchell. he takes his responsibilities seriously.
What the dialogue reveals about Paul is; He takes his responsibilities seriously.
What is the meaning of the dialogue?The given excerpt showing the dialogue of Paul is as seen in the brainly link attached.
Now, in the given excerpt we see that Paul regardless of some form of intimidation from Mister Sutcliffe refused to back down from a promise he made to another.
In conclusion, we can say that this attitude or response from Paul shows someone that is highly responsible.
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what is the median of the data set represented by the dot plot? enter the answer in the box.
Answer:
where is the box ?
Explanation:
which box i can't see any!
The average height of a sunflowers in a field is 64 inches
Which of these is most likely the responsibility of local government?
The statement that describe the responsibility of local government is maintaining public works.
What is local government?Local government refers to the lowest segment of public administration that is within a particular state. This level of government refers to a level of administration within a geographically-localised areas and it has little authority.
It is responsible for responsible for different services for people and businesses.
Therefore, The statement that describe the responsibility of local government is maintaining public works.
The question is incomplete as the options are not given, here are the options from brainly website.
Correcting errors made in supreme Court cases.Developing and amending federal law.Approving state budget.maintaining public works.Learn more about local government below.
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Answer: i
Explanation:
drk
How did this structure combine both greek and roman architectural elements?
Answer:
The Hagia Sophia combines both Greek and Roman architectural elements. Some examples of this are the famous dome on this beautiful building was like that of the Ottoman Turks of the Roman Empire. It seems to have three or four large pillars which are made of marble which is like in Athens, Greece.
Describe in detail the most memorable visual aid you've ever seen used in a presentation. why does it stick out in your memory? how was it used to illustrate a point? what did you learn from this experience? << read less
Answer:
The most memorable visual aid I have seen used was when a psychology professor used graphic descriptions (through historically important paintings) to illustrate abstract concepts, such as love, madness, and despair.
The representations used in the presentation stuck in my mind because of the visual impact that correlated with my personal experiences, making them vivid and memorable in my mind.
The points illustrated aimed at demonstrating the universality of human passions, and as such, it was an extremely successful presentation.
Finally, what I learned from this experience is that human emotions are not only universal, and as such, they can be represented, but, also, and most importantly, they are emotions that are not abstract concepts, rather, singular and personal experiences to which, paradoxically, everyone is subjected.
Explanation:
The most striking visual assistance I have ever witnessed came when a sociology professor illustrated abstract thoughts like affection, lunacy, and despair with a pictorial description of famous paintings from the past.
What is the presentation?An audience gathers inputs from either a speaker through a presentation. The typical purpose of a presentation is to enlighten, convince, inspire, educate, build sympathy, or offer a new product or service. Presentations can also include speeches, introductions, lectures, or demonstrations.
The visual effect that connected with my life observations helped the presentation's depictions stick in my consciousness, keeping them distinct and unforgettable.
The discussion was really quite effective since it served to highlight the concept that human passions are shared by all people.
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What is the process of working for a client whose opponent is on the opposite side called?
Answer: Your answer is D. Adversarial
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Fill in the blank with the spanish word or phrase that best completes the following sentence._______________. necesito una cita con el doctor.enfermarsela pacienteme muevome siento mal
The complete sentence is: Me siento mal. Necesito una cita con el doctor.
What is the explanation for the above response?The response provided is a complete sentence in Spanish, which translates to "I feel bad. I need an appointment with the doctor." The sentence is a clear expression of the speaker's current state of health and their need for medical attention.
The sentence structure is simple and direct, using the verb "necesitar" (to need) to express the speaker's desire for an appointment with the doctor. The context implies that the speaker may be experiencing physical discomfort or illness and is seeking treatment or advice from a medical professional.
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Atlas corp. is considering two mutually exclusive projects. both require an initial investment of $10,000 at t = 0. project s has an expected life of 2 years with after-tax cash inflows of $6,000 and $8,000 at the end of years 1 and 2, respectively. project l has an expected life of 4 years with after-tax cash inflows of $4,373 at the end of each of the next 4 years. each project has a wacc of 9.25%, and project s can be repeated with no changes in its cash flows. the controller prefers project s, but the cfo prefers project l. how much value will the firm gain or lose if project l is selected over project s, i.e., what is the value of npvl - npvs?
Based on the after-tax cashflows of each project, the value that the firm will gain if Project L is selected over Project S is $56.50.
What are the net present values of Project L and Project S?Project L net present value:
= Present value of inflows - Outflows
= 4,373/1.10925 + 4,373/1.10925² + 4,373/1.10925 ³ + 4,373/1.10925 ⁴ - 10,000
= 14,089.90 - 10,000
= $4,089.90
Project S net present value:
Because project s can be repeated after it is done, the net present value will be:
= (6,000/1.0925 + 8,000/1.0925² - 10,000) + ((6,000/1.0925 + 8,000/1.0925² - 10,000) / 1.0925²)
= $4,033.40
The difference is:
= Project L - Project S
= $56.50
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Suppose you spin the spinner 5 times. means ""the probability of getting a vowel on exactly 3 of the spins.""
Answer: A
Explanation: P(3 successes)
The probability of getting a vowel on exactly 3 of the spins when the spinner is spin 5 number of times is 0.1646.
What is binomial probabilities?The binomial probabilities is the experimental probability in which the total number of output values is 2, therefore it is known as binomial probabilities.
The number of independence variable in case of binomial experiments is fixed. Both the two output has the 1/2 chances to occur.
It can be given by the function,
[tex]P(X)=\left(^nC_x\right)p^x(1-p)^{n-x}[/tex]
Here, (n) is the number of trial (x) is a number of successes desired and (p) is the probability of success in one trial.
The spinner has 3 sections, let A,B and C, in which A one is vowel. Hence, the probability of getting vowel in one spin is,
[tex]p=\dfrac{1}{3}\\p=0.333[/tex]
It spins the spinner 5 times. Thus,
[tex]n=5[/tex]
The probability of of getting a vowel on exactly 3 of the spins is,
[tex]P(X=3)=\left(^5C_3\right)0.333^3(1-0.333)^{5-3}\\P(X=3)=0.1646[/tex]
Thus, the probability of getting a vowel on exactly 3 of the spins when the spinner is spin 5 number of times is 0.1646.
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In 2017 the hindu festival of diwali occurred on thursday, 19 october. what fraction of the year was this? (to 1 decimal place). hint: think carefully which start and end dates to use.
The fraction of the year that passed before the festival starts is 292/365 = 0.8.
Which fraction of the year represents this?
Well, we know that a year has 365 days on it.
Now we need to find how many days are between the start of the year and 19 of October.
January has 31 days.February has 28 daysMarch has 31 daysApril has 30 daysMay has 31 daysJune has 30 days.July has 31 days.August has 31 daysSeptember has 30 days.October has 19 (in this case).Adding all of these we get:
31 + 28 + 31 + 30 + 31 + 30 + 31 + 31 + 30 + 19 = 292
So, the fraction of the year that passed before the festival starts is:
F = 292/365 = 0.8
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Why did the mexican cession result in renewed sectional tension
The Mexican Cession gave the United States a great deal of land in what is now the southwestern part of the United States. The United States got land in the present-day states of California, Nevada, Wyoming, Utah, Colorado, New Mexico, and Arizona as a result of winning the Mexican-American War.
Explanation:
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