Answer:
4x² - 6x
Step-by-step explanation:
2x(2x - 3)
Distribute 2x into the parenthesis:
2x(2x - 3) = 4x² - 6x
Fernando purchased 1 pound of dried cranberries and 4 pounds of almonds to make a trail mix. Cranberries cost $4 per pound and almonds cost $5 per pound. What is the price per pound of the trail mix? $
Answer:
$24
Step-by-step explanation:
Cranberries needed: 1 pound
Cost of 1 pound = $4
Almonds needed: 4 pound
Cost of 1 pound = $5
4 x 5 = $20
20 + 4 = $24
Answer:
4.80
Step-by-step explanation:
If a triangle has a leg with a length of 6 units and a hypotenuse with a length of 10 units, find the length of the other leg.
Answer: 8 units
Step-by-step explanation:
This can be solved using the Pythagorean Theorem:
c² = a² + b²
c is the hypotenuse
a and b are the sides
Solving for the length:
10² = 6² + b²
100 = 36 + b²
b² = 100 - 36
b² = 64
b = √64
b = 8 units
The missing side is 8 units.
consider a two-sided confidence interval of the population mean with known variance (equation 6.19 in ang and tang). a. by how much must the sample size n be increased if the width of the confidence interval is to be halved? b. suppose the sample size n is increased by a factor of 25. how does that change the width of the interval?
The increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.
a. Suppose we have a two-sided confidence interval for the population mean with known variance, given by the equation:
Cl is the confidence interval, x is the sample mean, σ is the population standard deviation, n is the sample size, and zα/2 is the z-score corresponding to the desired level of confidence.
The σ are fixed for a given level of confidence, we can achieve this by increasing n by a factor of 4.
Specifically, if we increase the sample size from n to 4n, then the new confidence interval will have half the width of the original interval.
b. If the sample size is increased by a factor of 25, then the term √n in the denominator of the above equation will be replaced.
Therefore, increasing the sample size by a factor of 25 will reduce the width of the confidence interval by a factor of 5.
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Economic growth typically results in rising standards of living and prosperity. However, it also invites negative externalities such as environmental degradation due to over- exploiting of natural resources. As such, the world is confronted with the dilemma of growth versus environmental sustainability. Developing a model explaining the disparity of economic development concentrating on drivers such as tourism sustainability, technological innovation and the quality of leadership would be important not only to facilitate future economic growth in developing countries, but also to the environmental and sociocultural sustainability which ultimately lead to global sustainable development. The present research objective is to develop and test framework of sustainable development by considering the elements of tourism, technological innovation, and national leadership. This further would facilitate growth, environmental and socio-cultural sustainability. Understanding the integration of these dimensions would enable the building of a Sustainable Development Framework (SDF) that would provide better insight in promoting the SDGS agenda. Ultimately, growth and environmental sustainability can be achieved which will benefit the society, the economy, and nations and of course for future sustainable policy recommendation. Based on the issue above, you are required to propose relevant econometric approaches with the aims to test sustainable development by considering the elements of tourism, technological innovation, and national leadership. Question 1 [10 marks] [CLO2] Based on the scenario above, a. Propose an appropriate model specification based on the scenario above. [4 marks] used in the [4 marks] [2 marks] b. Justify the selection of the dependent and independent variables model. c. Justify the selection of the sample period.
According to the given information, the sample period should be from 2010-2020.
a) Model specification
The model specification based on the scenario above is as follows:
SDF= f(T, TI, NL)
Where: SDF= Sustainable Development Framework
T= Tourism
TI= Technological innovation
NL= National leadership
b) Justification for the selection of the dependent and independent variables model:
Dependent variable: The dependent variable in this model is Sustainable Development Framework (SDF). The model seeks to develop a framework for sustainable development that would facilitate growth, environmental and socio-cultural sustainability.
Independent variables:
The independent variables are tourism sustainability, technological innovation, and quality of leadership. These variables drive economic development. The inclusion of tourism sustainability reflects its importance in the global economy and its potential to drive growth.
The inclusion of technological innovation reflects its potential to enhance productivity and create new industries. The inclusion of national leadership reflects the role of governance in promoting sustainable development and managing negative externalities.
c) Justification for the selection of the sample period:
The sample period should be selected based on the availability of data for the variables of interest. Ideally, the period should be long enough to capture trends and patterns in the data. However, it should not be too long that the data becomes obsolete or no longer relevant.
Additionally, the period should also reflect the context and relevance of the research question. Therefore, the sample period for this study should cover the last decade to capture the trends and patterns in the data and reflect the relevance of the research question.
The sample period should be from 2010-2020.
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can somone answer this please
Answer:
4
7
6
9
Step-by-step explanation:
plz brainliestt
kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of 75 miles an hour. Who takes longer to drive the 25 miles? How much loner?
Answer:
I believe it is Kadeem who takes longer by 10 minutes.
Step-by-step explanation:
A person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.
Given that,
Kadeem and Quinn both drive 25 miles.
Kadeem drives at a constant speed of 50 miles an hour.
Quinn drives at a constant speed of 75 miles an hour.
To determine who takes longer to drive the 25 miles.
Distance is defined as the object traveling at a particular speed in time from one point to another.
Here,
Time is taken by Kadeem to reach 25 miles with a speed of 25 miles per hour
= 25 / 50 = 0.5 hour
Time is taken by Quinn to reach 25 miles with a speed of 75 miles per hour,
= 25 / 75 = 0.34 hour
Thus, a person whose speed is slow will take longer to reach so Kadeem takes longer by 0.5 hours.
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help please I really need to pass
Answer:
A
Step-by-step explanation:
The rest of the steps are right
12x^5 divided 3x^2
15y^7 divided 3y ^2
Answer:
4x³
5y^5
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Use differentials to determine the approximate change in the value of √2x+2 as its argument changes from 1 to 27. What is the approximate value of the function after the change. 25 Solution The change in argument of the function is Approximate change in the value of √2x + 2 as its argument changes from 1 to 27 is 25 Approximate value of the function after the change is
The approximate value of the function after the change is approximately 10.9597.
What is differentiation?A derivative of a function with respect to an independent variable is what is referred to as differentiation. Calculus's concept of differentiation can be used to calculate the function per unit change in the independent variable. A function of x would be y = f(x).
To find the approximate change in the value of √(2x + 2) as its argument changes from 1 to 27, we can use differentials. Let's denote the function as y = √(2x + 2).
First, let's find the derivative of y with respect to x:
dy/dx = d/dx(√(2x + 2))
To find this derivative, we can use the chain rule. Let u = 2x + 2, so that y = √u. Applying the chain rule:
dy/dx = (1/2√u) * d/dx(u)
= (1/2√(2x + 2)) * d/dx(2x + 2)
= (1/2√(2x + 2)) * 2
= 1/√(2x + 2)
Now, let's find the approximate change in the value of y as x changes from 1 to 27. We can use differentials:
Δy ≈ dy = (dy/dx) * Δx
where Δx = 27 - 1 = 26.
Substituting the derivative we found earlier:
Δy ≈ (1/√(2x + 2)) * Δx
= (1/√(2*27 + 2)) * 26
= (1/√56) * 26
≈ (1/7.4833) * 26
≈ 3.4764
Therefore, the approximate change in the value of √(2x + 2) as its argument changes from 1 to 27 is approximately 3.4764.
To find the approximate value of the function after the change, we can add the approximate change to the initial value of the function:
Approximate value after the change ≈ √(2*27 + 2) + 3.4764
≈ √56 + 3.4764
≈ 7.4833 + 3.4764
≈ 10.9597
Therefore, the approximate value of the function after the change is approximately 10.9597.
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what will the customer pay for the purchase before sales tax?
Using simple multiplication we know that the customer's final pay before sales tax would be $ 18.965.
What is multiplication?One of the four fundamental mathematical operations, along with addition, subtraction, and division, is multiplication.
Multiply in mathematics refers to the continual addition of sets of identical sizes.
When you take a single number and multiply it by several, you are multiplying.
We multiplied the number five by four times.
Due to this, multiplication is occasionally referred to as "times."
So, using the given chart calculate as follows:
(1/4 * 5.99) + ( 1 1/2 * 4.99) + (1 * 6.99) + (3/4 * 3.99) = Pay before sales tax
(1/4 * 5.99) + (3/2 * 4.99) + (1 * 6.99) + (3/4 * 3.99) = Pay before sales tax
1.4975 + 7.485 + 6.99 + 2.9925 = Pay before sales tax
$ 18.965 = Pay before sales tax
Therefore, using simple multiplication we know that the customer's final pay before sales tax would be $ 18.965.
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Which table does not represent a proportional relationship? A 2-column table with 3 rows. Column 1 is labeled x with entries 9, 6, 3. Column 2 is labeled y with entries 3, 2, 1. A 2-column table with 3 rows. Column 1 is labeled x with entries 16, 18, 20. Column 2 is labeled y with entries 4, 4.5, 5. A 2-column table with 3 rows. Column 1 is labeled x with entries 12, 18, 22. Column 2 is labeled y with entries 2, 3, 4. A 2-column table with 3 rows. Column 1 is labeled x with entries 5, 7, 9. Column 2 is labeled y with entries 10, 14, 18.
The table that does not represent a proportional relationship is mathematically given as the one with 12, 18, 22 Option 5
What table does not represent a proportional relationship?Generally, the equation for the first example is mathematically given as
In the first example,
9-3=6 and 6-3=3
Since this is the case, the constant of proportionality is -3.
For the second one
3-1=2, 2-1=1
Therefore, the constant of proportionality in this situation is -1.
For the third
16+2=18, 18+2=20
The constant of proportionality is thus 2, as expected.
For the fourth one
4 + 0.5= 4.5
and 4.5+0.5= 5,
The proportionality constant is a value of 0.5
In conclusion, For the fifth one
12+6=18,
and 18+6=24
while the remaining things are all proportionate
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ASAP HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP!!!!!!!!!!!!!!!!
Answer:
enlargement, greater than one
Step-by-step explanation:
it got bigger
there are 300 window for b buildings. assuming there is an equal number of windows per building, how many windows does each building have
Answer:
\(300\div b\) windows
Step-by-step explanation:
We can find how many windows each building has by changing our old expression.
If we assume \(b\) is the amount of buildings and \(w\) is the amount of windows per building, we can make the equation:
\(wb = 300\).
Now we want to isolate w on one side.
To do this we can divide both sides by b.
\(wb\div b = 300\div b\\\\w = 300\div b\)
So the amount of windows per building is \(300 \div b\).
Hope this helped!
Will mark brainliest to whoever figured this out pt 2 <3
Answer:
The required answer is 0.0000541
Alice,barbra, and carol are sisters. alice is 3 years younger then barbara is 5 years younger then carol. together the sisters are 68 years old. how old is barbara?
The age of Barbra is 22 years.
What is method of substitution?The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.
Now, according to the question.
Let 'a' be the age of Alice.
Let 'b' be the age of Barbra
Let 'c' be the age of Carol.
The sum of age of all three sisters is 68 years.
Thus, a + b + c = 68
Now, as Alice is three years younger than Barbra.
a = b - 3
and, Barbra is 5 years younger than Carol.
b = c - 5
c = b + 5
By substitution of values of a and c in total age.
(b - 3) + b + (b + 5) = 68
3b - 3 + 5 = 68
On solving the expression.
b = 22
Therefore, the age of Barbra is 22 years.
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the third-degree taylor polynomial for a function f about x=4 is (x−4)3512−(x−4)264 (x−4)4 2. what is the value of f′′′(4)?
Answer: the value of f′′′(4) is 3/256.
Step-by-step explanation:
Given the third-degree Taylor polynomial:
f(x) = (x−4)³/512 − (x−4)²/64 + (x−4)⁴/2
To find the value of f′′′(4), we need to differentiate the polynomial three times and evaluate it at x = 4.
First derivative:
f'(x) = 3(x−4)²/512 − 2(x−4)/64 + 4(x−4)³/2
Second derivative:
f''(x) = 6(x−4)/512 − 2/64 + 12(x−4)²/2
Third derivative:
f'''(x) = 6/512 + 24(x−4)/2
Now, substitute x = 4 into f'''(x):
f'''(4) = 6/512 + 24(4−4)/2
= 6/512 + 0
= 6/512
= 3/256
Therefore, the value of f′′′(4) is 3/256.
Work out the volume of a cube with length 6.5cm. Give answer to 3 significant figures
Answer:
265
Step-by-step explanation:
It's a cube, so all sides are the same, so 6.5 x 6.5 x 6.5
This equals 264.625. They want 3 significant figures, so u round to the nearest whole number. Significant numbers are whole numbers. This becomes, 265.
FILL THE BLANK.
-If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the _____ level.
nominal
ratio
ordinal
interval
If Argyle says that she has collected data that only tell her whether the cases are the same or different, one can accurately say that she has collected data on the nominal level.
What is the nominal level of measurement?The nominal level of measurement is the least strict type of data measurement in which the measurements or observations are grouped into distinct categories without a specific order or value structure. At this stage of measurement, variables are defined as categorical because the groups and categories can only be counted, which is usually done using frequencies and proportions.
The nominal level of measurement can take the form of either binary or multichotomous. Binary variables have only two groups, while multichotomous variables have more than two groups. Variables that are frequently used in this level of measurement include gender, race, or political affiliations.
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Does anybody know this ... dang ...
Answer: (6, -6)
Step-by-step explanation:
so midpoint =(\(\frac{X1+X2}{2}\),\(\frac{Y1+Y2}{2}\))
for x co ordinate
\(\frac{-2+X2}{2}\)=2
-2+X=4 (X2=x co ordinate point for b, can be written as just x now)
X=6
x co ordinate of B= 6
y co ordinates of y
\(\frac{-8+Y2}{2}\)=-7
-8+Y=-14
Y=-6
co ordinates B (6,-6)
for proof/extra explanation (NOT necessary for working):
\(\frac{Y1+Y2}{2}\)
=\(\frac{(-2)+6, (-8)+(-6)}{2}\)
=\(\frac{4, -14}{2}\)
=(2,-7)
which is the midpoint M
Can you guys solve this :>
Answer:
53˚
Step-by-step explanation:
There are 360 total degrees in a 4-sided shape (You can find the total number of degrees in a polygon by using the formula 180(n – 2) where n is the number of sides).
so we can add up all the degrees and subtract them from 360.
67 + 135 + 105 = 307
360 - 307 = 53
Which statement is true about the given statement?
Answer:
c. BD ≈ CE
Step-by-step explanation:
All four points are equal distance away from each other. this means the distance from B to D and the distance from C to E should be similar.
A _______ probability of an event is a probability obtained with knowledge that some other event has already occurred.
A conditional probability of an event tells us that the event has already occured.
Given a _______ probability of an event is a ............. other event has already occurred.
We have to fill the blank with appropriate term or word associated with probability.
The right term is conditional.
Conditional probability of an event is a probability obtained with knowledge that some other event has already occured.
It is denoted as P(A I B).
It satisfies the following equation:
P(AIB)=P(A and B ) / P(B)
where P( A and B) is the probability of A and B together.
Hence conditional probability of an event is obtained with knowledge that some other event has already occured.
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The first side of a triangle is 2 feet longer than
the second. The third side is 5 feet shorter than
twice the second. The perimeter is 49 feet. Find
the length of each side.
The length of the first side of the triangle is 15 feet, the length of the second side of the triangle is 13 feet and the third side is 21 feet.
According to the question,
We have the following information:
The first side of a triangle is 2 feet longer than the second. The third side is 5 feet shorter than twice the second. The perimeter is 49 feet.
Let's take the second side to be x feet.
So, we have the following sides:
First side = (x+2) feet
Third side = (2x-5) feet
Perimeter = 49
x+x+2+2x-5 = 49
4x-3 = 49
Adding 3 on both the sides:
4x = 49+3
4x = 52
Dividing by 4 on both the sides:
x = 52/4
x = 13 feet
First side = 2+13
First side = 15 feet
Third side = 2*13-5
Third side = 26-5
Third side = 21 feet
Hence, the length of the first side of the triangle is 15 feet, the length of the second side of the triangle is 13 feet and the third side is 21 feet.
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Which unit rate is the lowest price per ounce?
Choice A: 6 ounces of raisins for $3.06 Choice B: 13 ounces of raisins for $5.91
Answer:
I would say B
Step-by-step explanation:
3.06 / 6 = .51
5.96 / 16 = .45
.51 > .45
solve for v. 28= - 4 v simplify your answer as much as possible. v = ?
Answer:
-7
Step-by-step explanation:
28=-4v
28/-4=4v/4v
v=-7
79 8 the time needed to complete a final examination in a particular college course is normally distributed with a mean of minutes and a standard deviation of minutes. answer the following questions. a. what is the probability of completing the exam in one hour or less (to 4 decimals)?
The probability of completing the final examination in one hour or less, given a normal distribution with a mean of 79 minutes and a standard deviation of 8 minutes, is approximately 0.8413.
To find the probability of completing the exam in one hour or less, we need to convert one hour (60 minutes) into z-scores. The formula for calculating the z-score is (x - μ) / σ, where x is the value we want to convert, μ is the mean, and σ is the standard deviation.
In this case, we want to find the z-score for 60 minutes. Substituting the values into the formula, we have (60 - 79) / 8 = -2.375.
Next, we need to find the probability associated with this z-score. We can look up the corresponding probability from a standard normal distribution table or use a calculator. The probability corresponding to a z-score of -2.375 is approximately 0.0087.
However, we are interested in the probability of completing the exam in one hour or less, which includes all values less than or equal to 60 minutes. Since we are dealing with a continuous distribution, we need to consider the area under the curve up to the z-score of -2.375. This area represents the probability of completing the exam in one hour or less.
Looking up the z-score of -2.375 in the standard normal distribution table, we find that the corresponding probability is approximately 0.0087. Therefore, the probability of completing the exam in one hour or less is approximately 0.0087 or 0.8413 (rounded to four decimal places).
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A, B & C form the vertices of a triangle. ∠ CAB = 90°, ∠ ABC = 49° and AB = 8. 9. Calculate the length of AC rounded to 3 SF
Answer:
/AC/=10.2
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A rectangle has a height of 3 and a width of 3x^2+4x . Express the area of the entire rectangle.
Answer:
лдшзщщго
Step-by-step explanation:
Answer: 20x^2 -10x-30
Step-by-step explanation:
ABC Co. expects its FCF to grow at the rate of 12% over the next three years but settle to an industry growth rate of 5% in year 4. ABC Co. has a weighted average cost of capital of 8%, $20 million in cash, $50 million in debt, and 15 million shares outstanding. ABC Co. aims to set the current stock price to $40. What should be the target FCF (in million dollars) at the end of year 1?
Please provide the target stock price to proceed with the calculation and obtain the target FCF at the end of year 1.
To determine the target Free Cash Flow (FCF) at the end of year 1, we need to calculate the FCF for each year based on the given growth rates and other financial information.
Let's break down the calculations step by step:
Calculate the FCF for year 1 using the expected growth rate of 12%:
FCF₁ = FCF₀ * (1 + growth rate) = FCF₀ * (1 + 0.12)
Calculate the FCF for year 2 using the same growth rate:
FCF₂ = FCF₁ * (1 + growth rate) = FCF₁ * (1 + 0.12)
Calculate the FCF for year 3 using the same growth rate:
FCF₃ = FCF₂ * (1 + growth rate) = FCF₂ * (1 + 0.12)
Calculate the FCF for year 4 using the industry growth rate of 5%:
FCF₄ = FCF₃ * (1 + industry growth rate) = FCF₃ * (1 + 0.05)
Given that ABC Co. aims to set the current stock price to $40, we can use the formula for the stock price as a multiple of FCF to determine the target FCF:
Target FCF = Target Stock Price / Stock Price Multiple
To find the stock price multiple, we divide the market value of the company by the FCF:
Stock Price Multiple = Market Value / FCF
The market value can be calculated as follows:
Market Value = (Number of Shares * Stock Price) + Debt - Cash
Substituting the given values:
Market Value = (15 million shares * $40) + $50 million debt - $20 million cash
Finally, we can calculate the target FCF at the end of year 1 using the target stock price and the stock price multiple:
Target FCF₁ = Target Stock Price / Stock Price Multiple
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ABC Co. expects its FCF to grow at the rate of 12% over the next three years but settle to an industry growth rate of 5% in year 4. ABC Co. has a weighted average cost of capital of 8%, $20 million in cash, $50 million in debt, and 15 million shares outstanding. ABC Co. aims to set the current stock price to $40. What should be the target FCF (in million dollars) at the end of year 1?
a biologist had mice and rats run through a maze and recorded the number that finished the maze successfully and the number that did not. the table below shows the results of the study: mice rats finished: 22 25 did not finish: 26 12 suppose we use this data along with a .05 significance level to test the claim that the rodent type and the success of finishing the maze are not related. what can we conclude?
Answer:3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt
Step-by-step explanation:For each time that the rat goes through the maze, there are only two possible outcomes. Either he fails it, or he succeds. The trials are independent. So we use the binomial probability distribution to solve this question.
Binomial probability distribution:The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.In which is the number of different combinations of x objects from a set of n elements, given by the following formula.And p is the probability of X happening.
What is the probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt?Missing on the first six, each with 70% probability(P(X = 6) when p = 0.7, n = 6).Succeeding on the 7th attempt, with p = 0.3. So 3.53% probability that the rat fails the maze 6 times in a row, and then succeeds on his 7th attempt