There are three reporting sections
First section Second section Third sectionHow do these contrast with the reporting choices offered by SAP Bi?Part One:
The following three reporting options are available in SAP ERP:
General Reports: These reports are pre-delivered by SAP and are made available in several regional formats to aid with basic HCM reporting. InfoSet (Ad-hoc)
Query Tool: This sophisticated tool can be used to answer one-time queries about SAP HR (Ad Hoc) or different info types of data that are accessible in SAP applications
Custom ABAP Reports: These are programs created by SAP developers using the ABAP programming language.
Second Section
Custom ABAP Reports General Reports InfoSet (Ad-hoc) Query, Tool
Pre-delivered SAP reports in multiple regions in the format that is accessible to assist with basic HCM reporting Don't need to be developed. Possess intricate developments. Can be transformed into an SAP query It is impossible to convert a query to SAP. Because it is unrelated to the ABAP workbench, content or output format cannot be modified.Third Section
The following are some of the reporting possibilities offered by SAP BI:
I Demand-driven BI. SAP dashboards, in Standard reports for SAPBusiness One, are Drag and relate Options for reporting in SAP ERPTransaction processing is done using them. Reports are only two-dimensional.To learn more about SAP Bi, visit:
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researchers have found that taking icy showers may heighten your immune system and make you more resistant to illness. a clinical trial[3] in the netherlands found that cold showers led to a 29% reduction in people calling off sick from work. another study even connected cold showers to improved cancer survival
While there have been studies suggesting potential benefits of cold showers on the immune system and health outcomes, it is important to note that the evidence is still limited and further research is needed to establish conclusive results. The study you mentioned regarding a clinical trial in the Netherlands is not specified, so I cannot provide specific details about it. However, I can provide some general information on the topic.
1. Immune System Stimulation: Cold exposure, such as taking cold showers, has been hypothesized to stimulate the immune system. Cold showers may activate the body's natural defense mechanisms and increase the production of certain immune cells, potentially enhancing immune function. However, more research is required to fully understand the underlying mechanisms and determine the extent of the immune system's response.
2. Reduced Sick Days: Some studies have suggested that cold showers may contribute to a reduction in sick days. The Netherlands clinical trial you mentioned reported a 29% decrease in sick leave from work. Cold exposure might have effects on the body's stress response, blood circulation, and immune function, potentially influencing overall health and decreasing the likelihood of illness. Nonetheless, it is important to consider other factors that could affect sick leave, such as lifestyle, work environment, and individual susceptibility to illness.
3. Cancer Survival: There is limited scientific evidence linking cold showers to improved cancer survival. Cold exposure, specifically in the form of cryotherapy, has been used as an adjunct therapy in some cancer treatments. It is believed that extreme cold temperatures can potentially enhance the effects of traditional cancer therapies, but the research in this area is still ongoing, and more evidence is required to draw definitive conclusions.
It's worth noting that individual responses to cold exposure may vary, and cold showers might not be suitable or beneficial for everyone, particularly those with certain medical conditions or sensitivities to cold. It is always advisable to consult with healthcare professionals or experts in the field before making significant changes to your health routine or treatment plan.
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Let's try our hand describing a world using multiple quantifiers. Open Finsler's World and start a new sentence file. 1. Notice that all the small blocks are in front of all the large blocks. Use your first sentence to say this. 2. With your second sentence, point out that there's a cube that is larger than a tetra- hedron 3. Next, say that all the cubes are in the same column. . Notice, however, that this is not true of the tetrahedra. So write the same sentence about the tetrahedra, but put a negation sign out front. 5. Every cube is also in a different row from every other cube. Say this. 6. Again, this isn't true of the tetrahedra, so say that it's not 7. Notice there are different tetrahedra that are the same size. Express this fact 8. But there aren't different cubes of the same size, so say that, too. Are all your translations true in Finsler's World? If not, try to figure out why. In fact, play around with the world and see if your first-order sentences always have the same truth values as the claims you meant to express. Check them out in Konig's World, where all of the original claims are false. Are your sentences al false? When you think you've got them right, submit your sentence file.
All the translations are true as described. However, it is important to note that the truth values of these sentences may vary in different worlds, such as in Konig's World where all the original claims are false.
∀x∀y((Small(x) ∧ Large(y)) → InFrontOf(x, y))
In Finsler's World, all the small blocks are in front of all the large blocks.
∃x∃y(Cube(x) ∧ Tetrahedron(y) ∧ Larger(x, y))
There exists a cube that is larger than a tetrahedron.
∀x∀y((Cube(x) ∧ Cube(y)) → SameColumn(x, y))
In Finsler's World, all the cubes are in the same column.
¬∀x∀y((Tetrahedron(x) ∧ Tetrahedron(y)) → SameColumn(x, y))
In Finsler's World, it is not true that all the tetrahedra are in the same column.
∀x∀y((Cube(x) ∧ Cube(y) ∧ x≠y) → DifferentRow(x, y))
Every cube is also in a different row from every other cube.
¬∀x∀y((Tetrahedron(x) ∧ Tetrahedron(y) ∧ x≠y) → DifferentRow(x, y))
It is not true that every tetrahedron is in a different row from every other tetrahedron.
∃x∃y(Tetrahedron(x) ∧ Tetrahedron(y) ∧ SameSize(x, y) ∧ x≠y)
There exist different tetrahedra that are the same size.
¬∃x∃y(Cube(x) ∧ Cube(y) ∧ SameSize(x, y) ∧ x≠y)
There are no different cubes of the same size.
In Finsler's World, all the translations are true as described. However, it is important to note that the truth values of these sentences may vary in different worlds, such as in Konig's World where all the original claims are false. It would be interesting to explore how the truth values of the first-order sentences correspond to the intended claims in different worlds and to observe any discrepancies or inconsistencies that may arise.
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Consider the two functions below. Which one of these functions is linear? What is its equation? Enter any answers to two decimal places
Answer:
A
Step-by-step explanation:
A linear function is a straight line when graphed so is not B.
For confirmation of A note how for each increase of 3 in x we get the same increase of 5 in y.
If f(x)=7+3x, find f^-1(x)
Step-by-step explanation:
y=7+3x
x=7+3y
3y=x-7
y^-1=(x-7)/3
Thereby, f^-1(x)= (x-7)/3
The set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months. what is the z-score of an appliance that stopped working at 64 months?
The z-score of an appliance that stopped working at 64 months is 2.
What is mean?The mean of observations is equal to the ratio of sum of all the observations and the number of observations.
Given, the set of life spans of an appliance is normally distributed with a mean mu = 48 months and a standard deviation sigma = 8 months
The z-score is then calculated as
z = x - μ /σ
For an appliance that stopped working at 64 months, we have
x = 64
On substituting the values, we get
z = 64-48/8
z = 2
Hence, the z-score of an appliance that stopped working at 64 months is 2
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Answer:
D on edge
Step-by-step explanation:
2
Kelly has 306 stars she sells 56 how many are left?
Answer:
250
Step-by-step explanation:
Take 56 away from 306
306 - 56
=250
Amy borrows $130 to buy supplies for
her birthday party. She receives gifts and
money from her friends and family.
The total amount of money that Amy
receives is $250. How much money does
Amy have after she pays back what she
borrowed?
Answer:
120
Step-by-step explanation:
I need help with this question please
Answer:
The true statements are the 1st, 2nd, and 4th statement.
Select the expression equivalent to (2.1x + 4.3) - (-3x - 7)
A. -0.9x - 2.7
B. -0.9x + 11.3
C. 5.1.x - 2.7
D. 5.1 x + 11.3
Please actual answers
Find the value of x when 6 - 4x = 6x - 8x + 4. The value of x
Answer:
x=1
Step-by-step explanation:
Answer:
x = 1
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6-4*x-(6*x-8*x+4)=0
Pull out like factors :
2 - 2x = -2 • (x - 1)
Solve : -2 = 0
Solve : x-1 = 0
Add 1 to both sides of the equation :
x = 1
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cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s)cr2o72−(aq) 14h (aq) 6i−(aq)→2cr3 (aq) 7h2o(l) 3i2(s) express your answer in volts using two decimal places.
The cell potential (E⁰ cell) of the given reaction Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) is 0.79 volts.
The given reaction is a redox reaction involving the following species: Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6I⁻ (aq) → 2Cr³⁺ (aq) + 7H₂O (l) + 3I₂ (s) .
To determine the cell potential (E⁰) of the reaction, we need to know the reduction potentials (E⁰) of the species involved. The reduction half-reactions involved in this reaction are:
Cr₂O₇²⁻ (aq) + 14H⁺ (aq) + 6e⁻→ 2Cr³⁺ (aq) + 7H₂O (l)
(1) I2 (s) + 2e⁻ → 2I⁻ (aq)
(2) The standard reduction potentials (E⁰) for these half-reactions are: E⁰(Cr₂O₇²⁻/Cr³⁺) = 1.33 V
E⁰(I2/I⁻) = 0.54 V
To calculate the cell potential (E⁰cell), we subtract the reduction potential of the anode reaction (oxidation half-reaction) from the reduction potential of the cathode reaction (reduction half-reaction):
E⁰cell = E⁰cathode - E⁰anode
In this case, the reduction half-reaction (1) involves Cr₂O₇²⁻/Cr³⁺ and has a higher reduction potential (1.33 V) compared to the reduction half-reaction (2) involving I2/I⁻ (0.54 V).
Therefore, the reduction half-reaction (1) is the cathode reaction, and the reduction half-reaction (2) is the anode reaction. Substituting the values into the equation, we get:
E⁰cell = 1.33 V - 0.54 V = 0.79 V
Therefore, the cell potential (E⁰cell) of the given reaction is 0.79 volts.
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Seema can sell 10 sweaters for $70 each, 20 sweaters for $60 each, 30 sweaters for $50 each, 40 sweaters for $40 each, and 50 sweaters for $30 each. Her marginal cost of production is constant at $30 for each additional unit (or sweater) produced. If she behaves like a perfectly competitive producer, what is the number of sweaters she will sell? a. 20 b. 30 C. 40 d. 50
(b) 30. is the correct option. The number of sweaters she will sell is 30.
Marginal cost is the cost incurred in producing one extra unit of a product. Seema sells sweaters for different prices. Her marginal cost of production is constant at $30 for each additional unit produced. We can use marginal cost to determine the number of sweaters Seema will sell.
For this, we must find the point where the price equals the marginal cost. The marginal cost of production is $30, so we know that Seema will sell sweaters until she is no longer making a profit. For each sweater sold, Seema must consider the profit margin which is the difference between the price and the marginal cost of production.The marginal cost curve intersects the price curve at the price level that gives the maximum profit margin.
The price curve is downward sloping, so it will intersect the marginal cost curve at some point.
Marginal cost is constant at $30 per unit. The price Seema charges for selling the sweaters is as follows:
Price for selling 10 sweaters = $70 each.Price for selling 20 sweaters = $60 each. Price for selling 30 sweaters = $50 each.Price for selling 40 sweaters = $40 each.Price for selling 50 sweaters = $30 each.
Now we have to find out the number of sweaters she will sell and for that we can solve the following inequality:
MC ≤ Price - MCI.e., $30 ≤ price - $30$60 + $30 ≤ price ≤ $70 - $30$90 ≤ price ≤ $40$\[\frac{\$60 + \$40}{2}=\$50\]
Hence, the number of sweaters she will sell is 30. Therefore, the correct option is (b) 30.
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Convert the following numbers from the base shown to
base 10.
a. 1100101112
b. 110110101012
c. 35718
d. 124748
e. A89114
We are given various numbers in different bases and are asked to convert them to base 10. The numbers are: (a) 1100101112, (b) 110110101012, (c) 35718, (d) 124748, and (e) A89114.
To convert numbers from a given base to base 10, we need to multiply each digit of the number by the corresponding power of the base and then sum the results.
(a) For the number 1100101112, which is in base 2 (binary), we multiply each digit by the corresponding power of 2 and sum the results:
1 * 2^10 + 1 * 2^9 + 0 * 2^8 + 0 * 2^7 + 1 * 2^6 + 0 * 2^5 + 1 * 2^4 + 1 * 2^3 + 1 * 2^2 + 0 * 2^1 + 1 * 2^0 = 1575.
(b) For the number 110110101012, which is in base 10 (decimal), we multiply each digit by the corresponding power of 10 and sum the results:
1 * 10^11 + 1 * 10^10 + 0 * 10^9 + 1 * 10^8 + 1 * 10^7 + 0 * 10^6 + 1 * 10^5 + 0 * 10^4 + 1 * 10^3 + 0 * 10^2 + 1 * 10^1 + 0 * 10^0 = 4398046511104.
(c) For the number 35718, which is already in base 10, no conversion is needed. The number remains the same: 35718.
(d) For the number 124748, which is already in base 10, no conversion is needed. The number remains the same: 124748.
(e) For the number A89114, which is in base 16 (hexadecimal), we need to convert the letters A, 8, 9, and 1 to their corresponding decimal values (10, 8, 9, and 1, respectively) and multiply each digit by the corresponding power of 16:
10 * 16^5 + 8 * 16^4 + 9 * 16^3 + 1 * 16^2 + 1 * 16^1 + 4 * 16^0 = 11217108.
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Bill and Mischa share their profit in a ratio of 9:5
Bill gets £72 more than Mischa.
How much money did they receive altogether?
Answer:
£252
Step-by-step explanation:
The ratio of their profit is 9 ; 5 = 9x : 5x ( x is a multiplier )
Bill gets £72 more than Mischa , then
9x = 5x + 72 ( subtract 5x from both sides )
4x = 72 ( divide both sides by 4 )
x = 18
Total received = 9x + 5x = 14x = 14(18) = £252
As an incentive to attract savings deposits, some financial institutions offer daily compounding. This means that savings accounts, as well as CDs, earn interest compounded each day (assume 365 days a
A = $10,000 * (1 + 0.05/365)^(1095)
If financial institutions offer daily compounding for savings accounts and certificates of deposit (CDs), it means that the interest is calculated and added to the account balance on a daily basis. Assuming 365 days in a year, we can explore the formula for calculating the compound interest.
The formula for calculating the compound interest with daily compounding is given by:
A = P(1 + r/n)^(n*t)
Where:
A is the final amount (including both the principal and the interest)
P is the principal amount (initial deposit)
r is the annual interest rate (expressed as a decimal)
n is the number of times interest is compounded per year (365 in this case)
t is the number of years
Using this formula, we can determine the final amount (A) in the savings account or CD after a specific period of time.
For example, let's say you deposit $10,000 into a savings account with an annual interest rate of 5%, compounded daily. We want to calculate the balance after 3 years.
P = $10,000
r = 0.05 (5% as a decimal)
n = 365
t = 3
Plugging these values into the formula:
A = $10,000 * (1 + 0.05/365)^(365 * 3)
Using a calculator or computer program, the calculation would be:
A = $10,000 * (1 + 0.05/365)^(1095)
The result would give you the final balance after 3 years, considering daily compounding.
Remember that this formula assumes the interest rate remains constant throughout the entire period. If the interest rate changes or there are additional deposits or withdrawals, the calculation would need to be adjusted accordingly.
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1. The accuracy of a pool thermometer is the positive difference between the temperature
reading on the thermometer t and the actual temperature of the pool p. Write two absolute
value expressions equivalent to the accuracy of a pool thermometer.
The two absolute value expressions equivalent to the accuracy of a pool thermometer are |t - p| and |p - t|
How to write absolute value expressions for the accuracy of the thermometer?Absolute value means to remove any negative sign in front of a number and to think of the number as positive. This is indicated by the vertical lines | |
Any expression that contain the vertical lines is called absolute
value expression
Since the accuracy of a pool thermometer is the positive difference between the temperature reading on the thermometer t and the actual temperature of the pool p.
We can write:
accuracy = | t - p|
OR
accuracy = | p - t|
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Answer:
It-pI
Step-by-step explanation:
Find m of MLJ
See photo below
Answer:
45°---------------------
The angle formed by a tangent and secant is half the difference of the intercepted arcs:
12x - 3 = (175 - 21x - 1)/224x - 6 = 174 - 21x24x + 21x = 174 + 645x = 180x = 4Find the measure of ∠MLJ by substituting 4 for x in the angle measure:
m∠MLJ = 12*4 - 3 = 48 - 3 = 453x=10 how do you solve this, i hate math and dont know what to do. help?
Answer:
x = 10/3
Step-by-step explanation:
Okie so to solve a one variable equation, we have to isolate x. To do that, we have to divide both sides of the equation by 3 so we get x = 10/3.
I need help ASAP
First 6 multiples of 2: 2, 4, 6, 8, 10, 12
First 6 multiples of 4: 4, 8, 12, 16, 20, 24
What is the least common multiple (LCM) of 2 and 4?
A. 8
B. 12
C. 4
D. 6
Answer:
C) 14
Step-by-step explanation:
_______________
workout the values of x and y, 2x+3y=53, 3x-y=19
Answer:
x = 10, y = 11
Step-by-step explanation:
Substitution method:
2x + 3y = 53 --1
3x - y = 19 --2
Make y the subject.
From 2:
y = 3x - 19 --3
Substitute 3 into 1:
2x + 3(3x - 19) = 53
Simplify the equation.
2x + 9x - 57 = 53
11x = 110
x = 10
Substitute x = 10 into 3 to find y.
y = 3(10) - 19
= 30 - 19
= 11
Hence, x = 10, y = 11.
How would I solve the equation’s by cross multiplying number 4,5,9,10
Answer:
4) a = 6
5) m = 1
Step-by-step explanation:
4) use FOIL, First Inside Outside Last, when you cross multiply.
\(\frac{a+4}{a-1} =\frac{a-2}{a-4}\)
\((a+4)(a-4) = (a-1)(a-2)\)
I'm going to do the left side first.
\((a+4)(a-4)\\a^2-4a+4a-16\\a^2-16\)
Now I'm going to do the right side.
\((a-1)(a-2)\\a^2-2a-1a+2\\a^2-3a+2\)
Next I'm going to rewrite back as the equation and solve for a.
\(a^2 - 16 = a^2 -3a +2\\a^2 - a^2 -16 = a^2-a^2-3a+2\\-16-2=-3a+2-2\\-18=-3a\\-18/-3=-3a/-3\\a=6\)
5) I'm going to use distributive propoerty when I cross multiply. Then I will setup an equation like number 4 and solve for m.
\(\frac{5m-2}{3}=\frac{8-3m}{5} \\\)
\(5(5m-2)=3(8-3m)\\25m-10=24-9m\\25m+9m-10=24-9m+9m\\34m-10=24\\34m-10+10=24+10\\34m=34\\34m/34=34/34\\m=1\)
A horizontal number line labeled from negative 4 to positive 1 with tick marks every one fourth unit. There is a point one tick mark to the left of negative 3. A horizontal number line labeled from negative 4 to positive 1 with tick marks every one fourth unit. There is a point one tick mark to the left of negative 3. What point is marked on the number line?
The point one tick mark to the left of negative 3 on the number line is -3.25.
Number lines are horizontal straight lines in math where the intervals between the integers are equal. A number line can be used to show all of the numbers in a sequence. At both ends, this line continues indefinitely.
Each tick mark on the number line represents one-fourth of a unit, so the distance between negative 4 and negative 3 can be divided into 4 parts, each with a length of one-fourth of a unit. Starting from negative 4, the tick marks would be labeled as -4, -3.75, -3.5, -3.25, -3, and so on. Therefore, the point one tick mark to the left of negative 3 is at -3.25 on the number line.
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The Reeds are moving across the country. Mr. Reed leaves 3 hours before Mrs. Reed. If he averages 50mph and she averages 80mph, how many hours will it take Mrs. Reed to catch up to Mr. Reed
t = 8
It will take Mrs. Reed 8 hours to catch up to Mr. Reed.
To find out how many hours it will take Mrs. Reed to catch up to Mr. Reed, we can set up an equation based on their relative speeds.
Let's assume that Mrs. Reed catches up to Mr. Reed after t hours.
In those t hours, Mr. Reed will have traveled a distance of 50t miles (since he averages 50 mph).
Mrs. Reed, on the other hand, will have traveled a distance of 80(t-3) miles (since she averages 80 mph and leaves 3 hours later).
For Mrs. Reed to catch up to Mr. Reed, their distances traveled must be equal. Therefore, we can set up the equation:
50t = 80(t-3)
Let's solve for t:
50t = 80t - 240
240 = 80t - 50t
240 = 30t
t = 240/30
t = 8
Therefore, it will take Mrs. Reed 8 hours to catch up to Mr. Reed.
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CAN YOU PLEASE WRITE THE EQUATION AND THE ANSWERS PLSS
3. You have $20 to spend at the snack bar. All of the
snacks at the snack bar cost $1.25. How much money
will you have left if you buy:
a. 2 snacks?
b. 7 snacks?
c. 12 snacks?
Answer:
a. $17.50
b. $11.25
c. $5
Step-by-step explanation:
First, set up an equation:
20 - 1.25x = m
Now let's substitute in for x (which is how many snacks you buy) to solve for m (the amount of money you have left):
20 - 1.25 ( 2 ) = m
20 - 2.50 = m
17.50 = m
20 - 1.25 ( 7 ) = m
20 - 8.75 = m
11.25 = m
20 - 1.25 ( 12 ) = m
20 - 15 = m
5 = m
Answer:
Look in the explanation box for the answer :)
Step-by-step explanation:
a)
2 snacks=$2.50 Money left:$17.50
b)
7 snacks=$8.75 Money left:$11.25
c)
12 snacks=$15.00 Money left:$5.00
t^3=1. What is t, the cube root of 1?
Answer:
1
Step-by-step explanation:
1 cubed is 1 so it only makes sense for t=1
The cube root of 1 is 1. So, t = 1.
Suppose that 44 out of the 1717 doctors in a small hospital are General Practitioners, 77 out of the 1717 are under the age of 4545, and 22 are both General Practitioners and under the age of 4545. What is the probability that you are randomly assigned a General Practitioner or a doctor under the age of 4545
The probability of being randomly assigned a General Practitioner or a doctor under the age of 45 in this small hospital is approximately 0.0577 or 5.77%.
To find the probability of being randomly assigned a General Practitioner or a doctor under the age of 45, we need to calculate the probability of being in either of these two categories and then add them together.
Let's denote the event of being a General Practitioner as G and the event of being under the age of 45 as A. We are looking for the probability of either G or A, which can be represented as P(G or A).
To calculate this probability, we can use the principle of inclusion-exclusion:
P(G or A) = P(G) + P(A) - P(G and A)
We are given the following information:
- The number of doctors who are General Practitioners (G) is 44.
- The number of doctors who are under the age of 45 (A) is 77.
- The number of doctors who are both General Practitioners and under the age of 45 (G and A) is 22.
Now, we can substitute these values into the formula:
P(G or A) = (44/1717) + (77/1717) - (22/1717)
Calculating this expression:
P(G or A) = 0.0256 + 0.0449 - 0.0128
P(G or A) = 0.0577
Therefore, the probability of being randomly assigned a General Practitioner or a doctor under the age of 45 in this small hospital is approximately 0.0577 or 5.77%.
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Kiran is flying a kite He gets tired, so he stakes the kite into the ground. The kite is on a string that is 12 feet long and makes 45 degree angle with the ground. How high is the kite?
Answer: Approximately 8.49 feet
==================================================
Explanation:
Draw a right triangle. The reference angle is between the ground and the kite string (aka hypotenuse). The hypotenuse is 12 and the side opposite the reference angle is x.
Refer to the diagram below.
We'll use the sine rule to find x
sin(angle) = opposite/hypotenuse
sin(45) = x/12
12*sin(45) = x
x = 12*sin(45)
x = 8.48528137423857
x = 8.49
This value is approximate.
Make sure your calculator is in degree mode.
I rounded to 2 decimal places, but feel free to round however you need if your teacher instructs otherwise.
Think of a vending machine on campus. The vending machine has a coin collector that should be emptied regularly. In the past, the vending machine company emptied the coin collector every 14 days, and recorded the weight of the coin collector when it is emptied. In the past 100 visits, the average weight of the coin collector was 22 pounds and the standard deviation was 8.
If the coin collector is full, the vending machine is unusable. But emptying the collector is also an expense. The company finds that it is optimal to empty a coin collector when it weighs 20 pounds. The company wants to test the following hypotheses:
Null hypothesis: the mean weight of the coin collector emptied every 14 days is 20 pounds.
Alternative hypothesis: the mean weight of the coin collector emptied every 14 days is not 20 pounds.
Find the t-statistic of the test, and determine if the null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)
a. t-statistic is 2, so the null hypothesis is not rejected.
b. t-statistic is 1.25, so the null hypothesis is not rejected.
c. t-statistic is 2, so the null hypothesis is rejected.
d. t-statistic is 2.5, so the null hypothesis is not rejected
e. t-statistic is 1.25, so the null hypothesis is rejected.
f. t-statistic is 2.5, so the null hypothesis is rejected.
The null hypothesis is rejected at the significance level of 5%. (Round the t-statistic to the second decimal place.)- t-statistic is 2.5, so the null hypothesis is rejected.
Hypothesis
In statistics, hypothesis testing is used to identify the variance in the group of data that results from genuine variation. Based on the presumptions, the sample data are taken from the population parameter. The hypothesis can be divided into many categories. A hypothesis is described in statistics as a formal statement that explains the relationship between two or more variables belonging to the specified population.
It aids the researcher in converting the stated issue into an understandable justification for the study's findings. It provides examples of various experimental designs and guides the investigation of the research procedure.
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Use the procedures developed in this chapter to find the general solution of the differential equation. 3x3y''' + 28x2y'' + 55xy' + 9y = 0
Substitute \(x=e^t\). By the chain rule,
\(\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx}\)
Now \(t=\ln(x)\implies\frac{dt}{dx}=\frac1x\), so
\(\dfrac{dy}{dx} = \dfrac1x \dfrac{dy}{dt} \\\\ ~~~~~~~~ \iff \dfrac{dy}{dt} = x\dfrac{dy}{dx}\)
Differentiate both sides again to recover the second and third derivatives.
\(\dfrac{d^2y}{dx^2} = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \dfrac{d\frac{dy}{dt}}{dx} \\\\ ~~~~~~~~ = -\dfrac1{x^2}\dfrac{dy}{dt} + \dfrac1x \left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = -\dfrac1{x^2} \dfrac{dy}{dt} + \dfrac1{x^2}\dfrac{d^2y}{dt^2} \\\\ ~~~~~~~~ \iff \dfrac{d^2y}{dt^2} - \dfrac{dy}{dt} = x^2 \dfrac{d^2y}{dx^2}\)
\(\dfrac{d^3y}{dx^3} = \dfrac2{x^3}\dfrac{dy}{dt} - \dfrac1{x^2}\dfrac{d\frac{dy}{dt}}{dx} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\dfrac{d\frac{d^2y}{dt^2}}{dx} \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^2}\left(\dfrac{d\frac{dy}{dt}}{dt}\cdot\dfrac{dt}{dx}\right) - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^2}\left(\dfrac{d\frac{d^2y}{dt^2}}{dt}\cdot\dfrac{dt}{dx}\right) \\\\ ~~~~~~~~ = \dfrac2{x^3} \dfrac{dy}{dt} - \dfrac1{x^3} \dfrac{d^2y}{dt^2} - \dfrac2{x^3} \dfrac{d^2y}{dt^2} + \dfrac1{x^3}\dfrac{d^3y}{dt^3} \\\\ ~~~~~~~~ \iff \dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt} = x^3 \dfrac{d^3y}{dx^3}\)
The ODE then transforms to a linear one,
\(3\left(\dfrac{d^3y}{dt^2} - 3 \dfrac{d^2y}{dt^2} + 2 \dfrac{dy}{dt}\right) + 28\left(\dfrac{d^2y}{dt^2} - \dfrac{dy}{dt}\right) + 55\dfrac{dy}{dt} + 9 y = 0\)
or using Lagrange's prime notation,
\(3(y''' - 3y'' + 2y') + 28(y'' - y') + 55y' + 9y = 0\)
\(3y''' + 19y'' + 33y' + 9y = 0\)
The characteristic equation is
\(3r^3 + 19r^2 + 33r + 9r = (r + 3)^2 \left(r + \dfrac13\right) = 0\)
with roots at \(r=-3\) and \(r=-\frac13\), so the general solution is
\(y(t) = C_1 e^{-1/3\,t} + C_2 e^{-3t} + C_3 t e^{-3t}\)
Back in terms of \(x\), we get
\(\boxed{y(x) = C_1 x^{-1/3} + C_2 x^{-3} + C_3 x^{-3}\ln(x)}\)
(Please someone help me!) (No links!)
Answer:subtract the numbers in your head.
Step-by-step explanation: