To find the absolute maximum and minimum values of f(x) = x - √w on the interval (-1, 3) using the Closed Interval Method, we need to follow these steps:
1. Evaluate f(x) at the endpoints of the interval (-1 and 3) and find the corresponding values:
f(-1) = -1 - √w
f(3) = 3 - √w
2. Evaluate f(x) at any critical points within the interval (-1, 3) by taking the derivative of f(x) and setting it equal to zero to find the values of x that make the derivative equal to zero. Then, plug those values into f(x) to find the corresponding y-values:
f'(x) = 1
1 = 0 (there are no critical points within the interval)
3. Compare the values found in steps 1 and 2 to determine the absolute maximum and minimum values:
Absolute Maximum: The largest value is f(3) = 3 - √w, so the absolute maximum is 3 - √w.
Absolute Minimum: The smallest value is f(-1) = -1 - √w, so the absolute minimum is -1 - √w.
Therefore, the absolute maximum value of f(x) = x - √w on the interval (-1, 3) using the Closed Interval Method is 3 - √w, and the absolute minimum value is -1 - √w.
To find the Absolute Maximum and Absolute Minimum values of f(x) = x - √x on the interval (-1, 3) using the Closed Interval Method, follow these steps:
1. Determine the critical points by finding the first derivative of the function, f'(x), and setting it equal to zero:
f'(x) = 1 - 1/(2√x) = 0
2. Solve for x:
1/(2√x) = 1
√x = 1/2
x = 1/4
3. Evaluate the function at the critical point and the endpoints of the interval:
f(-1) = undefined (outside the domain of the function)
f(1/4) = 1/4 - √(1/4) = 1/4 - 1/2 = -1/4
f(3) = 3 - √3
4. Compare the function values:
The Absolute Minimum is f(1/4) = -1/4.
The Absolute Maximum is f(3) = 3 - √3.
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Which statement is true about a unit cube
Answer:
it has a volume of one cubic unit
Step-by-step explanation:
volume of cube = b*w*h , but they're all 1
A bag of trail mix weighs 11 1/2 ounces.
Each serving of trail mix is 3/4
ounce.
Part A How many servings are in the bag of trail mix? Show your work.
Part B
Explain how you can check your answer. Then check your
answer.
If a single serving of trail-mix is of 3/4 ounce, then
(a) there are 15.33 servings in the bag of trail-mix
(b) The method to check the answer is explained below.
Part (a) : To find the number of servings in the bag of trail mix, we divide the weight of bag by weight of each serving:
Number of servings = (Weight of bag)/(Weight of each serving),
Weight of bag = 11(1/2) ounces = 23/2 ounces
Weight of each serving = 3/4 ounce
Number of servings = (23/2)/(3/4) = (23/2) × (4/3) = 46/3 ≈ 15.33,
So, there are 15.33 servings in the bag of trail mix.
Part (b) : We can check our answer by multiplying number of servings by the weight of each-serving to see if it equals the weight of the bag:
(Number of servings) × (Weight of each serving) = Weight of bag,
15.33 × (3/4) = (46/3) x (3/4) = 23/2,
The weight of the servings is equal to the weight of the bag, so our answer is correct.
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The given question is incomplete, the complete question is
A bag of trail mix weighs 11(1/2) ounces. Each serving of trail mix is 3/4 ounce.
(a) How many servings are in the bag of trail mix? Show your work.
(b) Explain how you can check your answer. Then check your answer.
6.0 * 10^-6 minutes
(divided by)
3.0 * 10^3 day
Answer:
500000000
Step-by-step explanation:
When you do the first one you get 0.000006 and then when you do the second one you get 3000 so when you divide them then it puts all the numbers together, therefore, you get your answer.
factor to write an equivalent expression 36x-16
Answer:
\(36x - 16 = 4(9x - 4)\)
Use the sequence 2 4 6 8 16 write the recursive
Answer:
32
is the answer I got
Step-by-step explanation:
2+2=4
4+4=8
8+8=16
16+16=32
A builder has some red and grey bricks. The red bricks weigh 9 kilograms each, and the grey bricks weigh 8 kilograms each. If the total weight of all 35 bricks is 298 kilograms, how many of each type of brick does Paul have?
The builder has 17 grey bricks and 18 red bricks. The total weight of the bricks is 298 kilograms.
What is the system of equations?
Simultaneous equations, or a system of equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution. A solution is not assured even then.
Assume that the builder has x number of red bricks and y number of gray bricks.
The weight of 1 red brick is 9 kilograms.
The weight of x red bricks is 9x kilograms.
The weight of 1 gray brick is 8 kilograms.
The weight of y red bricks is 8y kilograms.
The weight of x red bricks and y red bricks is 9x + 8y kilogram.
The total number of bricks is 35 whose weight is 298 kilograms.
According to the question,
x+y = 35 ......(i)
9x + 8y = 298 .....(ii)
Solve the equations by using the elimination method:
Multiply 9 with equation (i) and subtract equation (ii) from it:
9x+9y = 315
9x + 8y = 298
(-) (-) (-)
_______________
y = 17
Putting y = 17 in equation (i)
x+17 = 35
x = 18
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ASAP TIMED HELP - 25 PTS
Answer: 45ft
Step-by-step explanation:
You do 8 x 5 first which you get 40 then you do 10 x 5 which you get 50 you add 40 and 50 you get 90 and since it’s made out of triangles you do bh1/2 so you do 90 x 1/2 or 90 / 2 and you get 45ft
SECTION A (20 MARKS) QUESTION 1 (a)Identify the relevant population for the below foci, and suggest the appropriate sampling design to investigate the issues, explaining why they are appropriate. Wherever necessary identify the sampling frame as well. 10 marks A public relations research department wants to investigate the initial reactions of heavy soft- drink users to a new all-natural soft drink'. (b) What type of sampling design is cluster sampling? What are the advantages and disadvantages of cluster sampling? Describe a situation where you would consider the use of cluster sampling. 10 marks
a) The relevant population is the heavy soft-drink users in the given case, and the appropriate sampling design that should be used is stratified random sampling. The list of all heavy soft-drink users is the sampling frame.
b) Cluster sampling refers to a sampling design where population is divided into naturally occurring groups and a random sample of clusters is chosen.
The advantages are efficient, easy to perform, and used when the population is widely dispersed. The disadvantages are sampling errors, have lower level of precision, and have the standard error of the estimate.
a) The relevant population for the public relations research department to investigate the initial reactions of heavy soft-drink users to a new all-natural soft drink is heavy soft-drink users. The appropriate sampling design that can be used to investigate the issues is stratified random sampling.
Stratified random sampling is a technique of sampling in which the entire population is divided into subgroups (or strata) based on a particular characteristic that the population shares. Then, simple random sampling is done from each stratum. Stratified random sampling is appropriate because it ensures that every member of the population has an equal chance of being selected.
Moreover, it ensures that every subgroup of the population is adequately represented, and reliable estimates can be made concerning the entire population. The list of all heavy soft-drink users can be the sampling frame.
b) Cluster sampling is a type of sampling design in which the population is divided into naturally occurring groups or clusters, and a random sample of clusters is chosen. The elements within each chosen cluster are then sampled.
The advantages of cluster sampling are:
Cluster sampling is an efficient method of sampling large populations. It is much cheaper than other types of sampling methods.Cluster sampling is relatively easy to perform compared to other methods of sampling, such as simple random sampling.Cluster sampling can be used when the population is widely dispersed, and it would be difficult to cover the entire population.The disadvantages of cluster sampling are:
Cluster sampling introduces sampling errors that could lead to biased results.Cluster sampling has a lower level of precision and accuracy compared to other types of sampling methods.Cluster sampling increases the standard error of the estimate, making it difficult to achieve the desired level of statistical significance.A situation where cluster sampling would be appropriate is in investigating the effects of a new medication on various groups of people. In this case, the population can be divided into different clinics, and a random sample of clinics can be selected. Then, all patients who meet the inclusion criteria from the selected clinics can be recruited for the study. This way, the study will be less expensive, and it will ensure that the sample is representative of the entire population.
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fems last bowling scores were 75,72,90,80
what was fems mean score?
Answer:
79.23
Step-by-step explanation:
Add all up and divide by how many are there to find the mean
Answer:
79.25
Step-by-step explanation:
75 + 72 + 90 + 80 = 317
317 ÷ 4 = 79.25
have a good day! :)
I neep help asap deadline 4:00pm
Answer:
x = -2 to x = 1
Step-by-step explanation:
A function is constant when the y value does not change (i.e. the graph is a horizontal line). This is true between x = -2 and x = 1.
Answer:The Funcation is Constact from x=-5 to x=8
Step-by-step explanation:
Which expression is equivalent to?
Answer:
the given expression is equivalent to
Step-by-step explanation:
\( \frac{ \sqrt[12]{55296} }{2} \)
Please help:( I don’t get how to do it.
Answer and Step-by-step explanation:
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
We are given that the slope is -7 and that the y-intercept is 7.
Slope - The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (where the y represents the rise (or fall) and the x represents the run).
The equation of a slope would look like this: \(\frac{y}{x}\).
Since the slope is -7, we plug that in for y, which will be the fall. 1 will be the x.
\(-\frac{7}{1}\).
The y-intercept means its on the y-axis and since we are given the y-intercept is 7, we go up 7 units on the graph and place a dot.
From that point, we go down 7 units and right 1. Place a dot here. Continue doing this until you run off the page. Go back to (0, 7), and go up 7 and left 1. Place a dot here, then repeat the process.
This will be your line. (Look at picture)
*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^*^
#teamtrees #WAP (Water And Plant)
URGENT HOMEWORK HELP!!
Answer:
A
Step-by-step explanation:
The common difference is simply the constant we add/subtract each time. In this case, the common difference is 3/2 as can be seen from the recursive formula. In other words, each new \(n\) will be 3/2 larger than the previous.
The answer is A.
Peter expected to earn $425 in a week. In fact, he earned $500. What was the percentage error? (Round to nearest percent)
Answer:
15%
Step-by-step explanation:
im almost certain its 15%
What is the constant term for 4x-2y+3
Answer:
Step-by-step explanation:
3 is the constant term.
Constant term is the term without any variables
Answer:
3
Step-by-step explanation:
The constant number is the number that has no variable and just a number.
(b) an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with mendel's hypothesis. which statistical inference procedures should we use?
As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.
Hypothesis
In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.
Given,
Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.
And we need to find in which statistical inference procedures should we use.
According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.
So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.
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Figure A is a scale image of Figure B
Answer:
x = 30
Step-by-step explanation:
Put in proportions \(\frac{x}{45}\) = \(\frac{18}{27}\)
Cross multiply and get 27x = 45 x 18
OR...
27x = 810.
THEN...
divide by 27 on both sides to get 30
x = 30
Hiii!! I know for the most part that i should sketch a picture out, but i don’t remember the process may someone help me, would be greatly appreciated !!
Answer:
66
Step-by-step explanation:
Find the last side of the triangle using the Pythagorean theorem.
\(c^{2} = a^{2} + b^{2} \\20^{2} = 8^{2} + b^{2}\)
B=\(4\sqrt{21}\)
This makes b = 18.3
Now you can find the angle B = arcsin (opp/hyp)
B=arcsin \(\frac{4\sqrt{21} }{20}\)
B= 66.42
Answer:
22°
Step-by-step explanation:
Okay, to first find the missing side, you need to use a² +b² = c²
getting 21.54 for the hypotenuse. From there, you're going to divide the leg (8) that's opposite of the angle you're trying to find and divide it by the hypotenuse (21.54). Then on you're caluclator you should have a button that says "Sin-1". You're going to use that and plug in the answer you got from 8/21.54. This'll give you your answer!
After giving ⅓ of his Skittles to his sister and ¼ to his brother, Zachary still had 40. How many Skittles did he give to his sister?
PLZ HELP ASAP, WILL MARK BRAINLIEST!!! I DONT HAVE MUCH TIME
Answer:
\(13.3333333\)
Step-by-step explanation:
\(--------------------------------------------\)
\(According\) \(to\) \(desmos\),
\(\frac{1}{3}\) \(of\) \(40\) = \(13.3333333\) = \(13.3\)
\(--------------------------------------------\)
Hope this helps! <3
\(--------------------------------------------\)
これが役立つことを願っています! <3
\(--------------------------------------------\)
How many dolls can Julie and erin make with the amount of white cloth they have write an equation to represent the problem is multiplication to check your answer
According to the question they can make 4 dolls with the amount of black velvet they have.
What is amount?Amount is a word used to describe a numerical value or quantity of something. It can refer to money, goods, or services that are exchanged or owed. It is often used when discussing finances, such as when talking about a loan, taxes, or expenses. Amount can also refer to a total or sum of things, such as the total number of people in a group or the amount of items in a box. In addition, it can also be used to describe how much of something, such as how much food or drink is needed for a party.
To figure out how many dolls Julie and Erin can make with the amount of black velvet they have, we need to divide the amount of black velvet they have (4 yards) by the amount of black velvet they need for each doll (1 yard). This means they can make 4 dolls with the amount of black velvet they have.
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Complete Question:
The expression used for how much cloth is required for each dish is: (19/3 - D) / 8
Where D is the quantity of fabric used to make the outfits.
What is an expression?One or more elements in an expression can be added, subtracted, multiplied, or divided.
When we simplify an expression, we always combine similar words in the expression.
If an expression has two sides, we also retain all similar terms on one side of the expression.
Example:
1 + 3x + 4y = 7 is an expression.
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
Let's commence by calculating the total amount of fabric Julie and Erin have after creating dresses for the dolls:
6(1/3) yards = 19/3 yards
We do not know how much of this fabric was used for the outfits.
Let's name the quantity of fabric used to make the dresses "D."
The remaining fabric for the ribbons is then as follows: 19/3 - D
Each doll will receive two bows because we know they must create 8 bows for 4 dolls.
They therefore require enough fabric for two bows per toy.
As a result, the overall amount of fabric required for the bows is: 2 x 4 = 8 bows
We must divide the total quantity of cloth they have left over by the number of bows they'll need to make in order to determine how much cloth they have for each bow: (19/3 - D) / 8
The phrase for how much cloth is required for each dish is: (19/3 - D) / 8
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The complete question is,
Julie and Erin have 6 1/3 yards of red checked cloth. After making dresses for 4 dolls, they use the remaining cloth to make bows for the doll's hair. They need 8 bows for 4 dolls. How much cloth do Julie and Erin have for each bow?
Find the number of outcomes in the complement of the given event. out of 301 apartments in a complex, 138 are available for rental.
The number of outcomes in the complement of the event is 163
How to find the number of outcomes in the complement of the event?The statement is given as:
Out of 301 apartments in a complex, 138 are available for rental.
This means that
Apartments = 301
Rental = 138
The complement is calculated as:
Complement = Apartment - Rental
So, we have
Complement = 301 - 138
Evaluate
Complement = 163
Hence, the number of outcomes in the complement of the event is 163
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PLEASE HELP !!!! solve the right triangle
Answer:
IK = 7
IJ = 12.124 (sorry the calculator doesn’t want to change to a fraction for this one)
m∠K = 60˚
Step-by-step explanation:
IK: Since you’re trying to find the opposite side of angle J, you’d use the sine trig. function (opp. over hypotenuse).
sin(30) = x/14
14sin(30) = x
x = 7
IJ: Since you’re trying to find the adjacent side of angle J, you’d use cosine (adj. over hyp.).
cos(30) = x/14
14cos(30) = x
x = 12.124...
m∠K: The sum of all three interior angles of a triangle equal 180˚. You already know that a right angle is 90˚, and you already have m∠J = 30˚.
Add:
90˚ + 30˚ = 120˚
Subtract from 180:
180˚ - 120˚ = 60˚
Hope this helped :)
helppppopppppppppppppphsbdbfhfevd
Answer:
d
Step-by-step explanation:
because it says in your thing up above to exchange but there is a 50% im wrong
Answer: i think its A but i may be wrong
Step-by-step explanation: hope its right and hope this helps
Hector took out a small loan of $900 for 18 months (remember to turn this into
years). The simple interest rate on the loan was 10.5%. How much will he pay in
interest on the loan?
Answer:
$141.75
Step-by-step explanation:
(900)(-105) (13/12) or 1.5
Explain the implications of theories you learnt in the course on board structure. You may use one or more of the following theories: Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory and Stewardship Theory. Give 5 implications in total and their justification based on the theory.
Example: ------ Theory suggests that there should be more independent directors on the board because-------- 5 marks
The theories provide valuable insights for organizations to consider when managing relationships with stakeholders, securing resources, reducing transaction costs, promoting stewardship, and making strategic decisions.
Board structure is influenced by various theories, including Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory. These theories provide insights into effective board composition and functioning.
Using the theories of Stakeholder Theory, Resource Dependence Theory, Transaction Cost Theory, and Stewardship Theory, here are five implications for board structure and their justifications based on these theories:
1. Stakeholder Theory: The board should include representatives from diverse stakeholder groups.
- Justification: Stakeholder Theory posits that organizations should consider the interests of all stakeholders. By including representatives from various stakeholder groups on the board, the organization can ensure that the perspectives and interests of different stakeholders are adequately represented and considered in decision-making processes.
2. Resource Dependence Theory: The board should establish and maintain external relationships with key resource providers.
- Justification: Resource Dependence Theory suggests that organizations depend on external resources to survive and thrive. To secure necessary resources, the board should actively develop and maintain relationships with key resource providers, such as suppliers, financiers, and strategic partners. This enables the organization to ensure a stable supply of resources and reduce dependence on a single source.
3. Transaction Cost Theory: The board should establish clear and transparent governance mechanisms and structures.
- Justification: Transaction Cost Theory emphasizes the importance of minimizing transaction costs in organizational arrangements. By establishing clear governance mechanisms and structures, such as formal policies, procedures, and decision-making frameworks, the board can reduce ambiguity, information asymmetry, and potential opportunistic behavior. This enhances transparency, accountability, and trust within the organization.
4. Stewardship Theory: The board should foster a collaborative and supportive culture among directors and executives.
- Justification: Stewardship Theory suggests that individuals are motivated to act in the best interests of the organization when they perceive themselves as stewards rather than mere agents. To cultivate a stewardship orientation, the board should promote a collaborative and supportive culture that encourages directors and executives to work together towards common goals. This facilitates information sharing, cooperation, and a sense of collective responsibility.
5. Stakeholder Theory: The board should incorporate stakeholder perspectives into strategic decision-making processes.
- Justification: Building upon Stakeholder Theory, the board should ensure that stakeholder perspectives are actively considered in strategic decision-making processes. By involving relevant stakeholders in discussions, conducting impact assessments, and considering their input, the board can make more informed and inclusive decisions. This helps to align organizational strategies with stakeholder interests and enhance long-term sustainability.
These implications reflect the integration of various theories into board structure considerations, aiming to address stakeholder interests, resource dependencies, transaction costs, and foster stewardship-oriented behavior within organizations.
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please help me in this question
Answer:
30
Step-by-step explanation:
use Pythagoras theorem at first to find the third side of the triangle it will come 5
then use the formula to find the area of triangle
A=(5x12)/2=30cm2
Simplify: (sec θ + tan θ) x (1 – sin θ)
Answer:
cosθStep-by-step explanation:
Given the expression (sec θ + tan θ) x (1 – sin θ), to simplify he expression the following steps must be followed. First we must know that from trigonometry identity, secθ = 1/cos θ and tanθ = sinθ/cosθ
Substituting this foremulas in the expression we will have:
(sec θ + tan θ) x (1 – sin θ)
= (1/cosθ + sinθ/cosθ)* (1-sinθ)
= (1+sinθ/cosθ) *1-sinθ
= {(1+sinθ)(1-sinθ)/cosθ}
= (1-sinθ+sinθ-sin²θ)/cosθ
= 1-sin²θ/cosθ
Also, from pythagoras therorem, sin²θ+cos²θ = 1
cos²θ = 1-sin²θ
substituting cos²θ = 1-sin²θ into the final expression above we have:
1-sin²θ/cosθ = cos²θ/cosθ
= cosθ
(sec θ + tan θ) x (1 – sin θ) = cosθ
Which is the graph of y= -x-3?
Answer:
Graph a
Step-by-step explanation:
Answer:
the answer is A
Step-by-step explanation:
to start, I would use the slope intercept, in this case -3 which lets you know the slope meets the y axis at (0,-3) since you have that point, you count with the slope.
now slope is rise over run, therefore, it would be y over x and since the y in this case is 3, you'd go up three from your point. since x is 4, you'd go right four units from where you are. since A is the only graph that follows that, A would be correct.
Help helps
Help help help help meeeee
Answer:
Just a mirror image of the triangle over the y-axis.
Step-by-step explanation:
The y coordinates remain the same but x coordinates become positive when triangle is reflected over y-axis.
 Find the perimeter. Simplify the answer
Answer:
15x + 28
Step-by-step explanation:
Perimeter = 5x + 10 + 5x + 10 + 5x + 8
Perimeter = 15x + 28
-Chetan K
Answer:
15x + 28Step-by-step explanation:
Given, in the figure,Sides of the triangle are = 5x+10, 5x+10 and 5x+8
As we know,Perimeter of a triangle = Sum of the three sides
Therefore,Perimeter of the given triangle
= (5x+10) + (5x+10) + (5x+8)
[Opening the brackets and bringing like terms together]= 5x + 5x + 5x + 10 + 10 + 8
[Adding the like terms]= 15x + 28
Hence, 15x + 28 is the simplified answer.