Answer:B
Step-by-step explanation:
(X-4,Y+2)
Write the rule for the function f(x) = × for the transformation described.
2. horizontal translation 7 units left
Answer:
Step-by-step explanation:
Good morning,
You just do it in the pathway, and there is the answer for you :D.
‼️WILL LIST BRAINLIEST ‼️
Answer:
77/9 is the correct awnser simplufied is -8 5/9 or -8.5
Step-by-step explanation:
Suppose the following equations describe a scenario involving an externality: MSB=MPB=12−0.5Q
MSC=2+1.5Q
MPC=2+0.5Q
1. What kind of externality (positive or negative) is this? How do you know? 2. Sketch a graph of the marginal cost and benefit curves for this scenario. 3. Compute the quantity that will result from private decision-making. Show your work. 4. Compute the quantity that would be best from society's viewpoint. Show your work. 5. How do the social and private optima compare? Why is this the expected result in the presence of this type of externality?
The presence of a negative externality causes the MSC to be higher than the MSB, which leads to the market over-producing the good. This is because producers are only taking their private costs and benefits into account, not the costs and benefits to society as a whole. The difference between the private and social optima is known as the deadweight loss. In this case, the deadweight loss is equal to the shaded triangle in the attached image.
1. This is a negative externality. We can see this by the MSC being higher than the MSB. This means that the cost to society of producing the good is higher than the benefit to society, resulting in the market over-producing the good.2. See the attached image. 3. At private decision making, we set the MSB equal to the MPC: 12-0.5Q = 2+0.5Q. Solving for Q gives Q = 8. 4. To find the socially optimal quantity, we need to set MSB equal to MSC: 12-0.5Q = 2+1.5Q. Solving for Q gives Q = 4. 5. The private and social optima are different because of the negative externality.
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What is the arc length the car traveled to the nearest hundredth?
a. 7.91
b. 8.32
c. 10.99
d. 11.89
To find the arc length, we can use the formula:
\(\[ L = \frac{\theta}{360} \times 2\pi r \]\\Given:\( r = \frac{d}{2} = \frac{30}{2} = 15 \) ft\( \theta = 42 \) degrees\( \pi = 3.14 \)\\Substituting the given values into the formula:\[ L = \frac{42}{360} \times 2 \times 3.14 \times 15 \]\[ L = \frac{42}{360} \times 94.2 \]\[ L = \frac{3956.4}{360} \]\[ L \approx 10.99 \] ftTherefore, the arc length traveled by the car, to the nearest hundredth, is 10.99 feet. The correct option is c.\)
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In 2010, the population of a city was 233,000. From 2010 to 2015, the population grew by 7%. From 2015 to 2020, it fell by 4%. How much did the population grow from 2010 to 2015, to the nearest 100 people?
The population growth from 2010 to 2015 is given as follows:
16,310.
How to obtain the population growth?The population in 2010 is given as follows:
233,000.
The population growth from 2010 to 2015, as a percentage, is given as follows:
7%.
Hence the proportion used to obtain the population in 2015 is given as follows:
100% + 7% = 107% = 1.07.
Then the population in 2015 is given as follows:
1.07 x 233000 = 249,310.
Meaning that the population growth is calculated as follows:
249,310 - 233,000 = 16,310.
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5. Find the volume of a cyclinder with a height of 6m and a radius of 3m.
169.56m^3
28.26m^3
339.12m^3
Answer:
169.56m^3
Step-by-step explanation:
Which of these is a solution to the equation 1/8=2/5•x 2/40, 5/16, 17/40, 11/40
Answer:
Simple, \(1/8=2/5x\) so \(1/8/2/5=x\) would become \(x=1/20\), which is equal to 2/40 :)
Step-by-step explanation:
Anna wants to make 30 mL of a 60 percent salt solution by mixing togethera 72 percent salt solution and a 54 percent salt solution. How much of each solution should dhe use
Anna should use 10 mL of the 72% salt solution and 20 mL of the 54% salt solution to make 30 mL of a 60% salt solution
Let's assume that Anna will use x mL of the 72% salt solution, and therefore she will use (30 - x) mL of the 54% salt solution (since the total volume is 30 mL).
To find out how much of each solution Anna should use, we can set up an equation based on the amount of salt in each solution.
The amount of salt in x mL of 72% salt solution is
= 0.72x
The amount of salt in (30 - x) mL of 54% salt solution is
= 0.54(30 - x)
To make a 60% salt solution, the total amount of salt in the final solution should be
0.6(30) = 18
So we can set up an equation
0.72x + 0.54(30 - x) = 1
Simplifying the equation
0.72x + 16.2 - 0.54x = 18
0.18x = 1.8
x = 10 ml
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50 points hellpppppppppppppppppppppppp
Answer:
See below.
Step-by-step explanation:
"1*1=1
2*1=2. 2*2=4
3*2=6,3*3=9
4*2=8,4*3=12,4*4=16
5*2=10,5*3=15, 5*4=20,5*5=25
6*2=12,6*3=18,6*4=24,6*5=30,6*6=36
At last we are getting square numbers...
1^1=1....2^2 =4... 3^3=9....4^4=16..... 5 ^5=25....6 ^6=36"
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Start at 8, double each number, add 2.
8*2=16+2=18
18*2=36+2=38
38*2=76+2=78
78*2=156+2=158
158*2=316+2=318
So, starting at 8, the first five numbers in the sequence is:
8, 18, 38, 78, 158
-hope it helps
Answer:
See belowStep-by-step explanation:
4.1The first pattern:
1, 2, 3, 4, 5, 6, ...This is an AP with the first term of 1 and common difference of 1:
aₙ = 1 + (n - 1)*1 = 1 + n - 1 = n ⇒ aₙ = nThe second pattern:
2, 4, 6, 8, 10, 12, ...This is an AP with the first term of 2 and common difference of 2:
aₙ = 2 + (n - 1)*2 = 2 + 2n - 2 = 2n ⇒ aₙ = 2nThe third pattern:
3, 6, 9, 12, 15, 18, ...This is an AP with the first term of 3 and common difference of 3:
aₙ = 3 + (n - 1)*3 = 3 + 3n - 3 = 3n ⇒ aₙ = 3n4.2The first term is 8, for the second term, double this and add 2:
a₁ = 8aₙ = 2*aₙ₋₁ + 2Find the first five numbers:
a₂ = 8*2 + 2 = 18a₃ = 2*18 + 2 = 38a₄ = 2*38 + 2 = 78a₅ = 2*78 + 2 = 158The sequence is:
8, 18, 38, 78, 158, ...what proportion of students who take intro stats at the university of florida have never taken statistics before? is it more than half of them? a study of sta 2122 students found that 438 out of 654 students had never taken a statistics course before. match the following symbols with the correct answer.
Using proportions, it is found that:
The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.
A proportion is the number of desired outcomes divided by the number of total outcomes.
In this problem:
438 of the students had never taken a statistics course before, which is the number of desired outcomes.Sample of 654, which is the number of total outcomes.The proportion is:
\(p = \frac{D}{T} = \frac{438}{654} = 0.6697\)
The proportion of students who take intro stats at the university of Florida have never taken statistics before is 0.6697. Since this proportion is greater than 0.5, it can be said that it is more than half of them.
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13.The property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is
Answer:
Associative property of multiplication
Step-by-step explanation:
Associative property of multiplication is one of the properties used to solve mathematical questions
This is given by the formula
a × (b × c) = (a × b) × c
Therefore based on the above explanation, the property used in the product 30 × (-5 × 24) = (30 × -5) × 24 is called the Associative property of multiplication
List 3 observations from your data.
1.
2.
3.
Answer:
Step-by-step explanation:
hearing, taste, touch,
How many ways are there to pick an (unordered) subset of 6 cards from a standard 52-card deck so that the subset contains at least one Ace, at least one King, at least Queen, and at least one Jack
In a standard 52-card deck, there are 20,358 ways to pick an (unordered) subset of 6 cards that contains at least one Ace, at least one King, at least one Queen, and at least one Jack.
Can you determine the number of ways to select a subset of 6 cards from a standard 52-card deck, ensuring that at least one Ace, King, Queen, and Jack are included?When selecting a subset of 6 cards from a standard 52-card deck, the main objective is to ensure that the subset contains at least one Ace, one King, one Queen, and one Jack. To calculate the number of ways this can be achieved, we can break it down into steps.
Step 1: Select one Ace, King, Queen, and Jack
There are 4 ways to choose one Ace, 4 ways to choose one King, 4 ways to choose one Queen, and 4 ways to choose one Jack.
Step 2: Select two additional cards from the remaining 48 cards
After selecting one Ace, one King, one Queen, and one Jack, we are left with 48 cards. To complete the subset of 6 cards, we need to choose two more cards from this remaining set. The number of ways to select two cards from 48 is calculated using combinations, denoted as "48 choose 2," which is equal to 1,128.
Step 3: Multiply the results
To determine the total number of ways, we multiply the results of each step. Therefore, the total number of ways to pick an (unordered) subset of 6 cards that contains at least one Ace, one King, one Queen, and one Jack is 4 * 4 * 4 * 4 * 1,128 = 20,358.
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will mark for correct answer!!
Help me with this math I gotta get some serious help
Answer:
C
Step-by-step explanation:
Given the following function, find f(-4), f(0), and f(4).
f(x) = x + 2
f(-4)=
f(0) =
f(4)=
Answer:
-2, 2, 6
Step-by-step explanation:
f(-4)= -4+2=-2
f(0)=0+2=2
f(4)=4+2=6
Substitute x for the number in parentheses
The values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
What is a function?
It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
It is given that:
The function f(x) = x + 2
To find the value of f(-4):
Plug x = -4 in the function:
f(-4) = -4 + 2 = -2
To find the value of f(0):
Plug x = 0 in the function:
f(0) = 0 + 2 = 2
To find the value of f(4):
Plug x = 4 in the function:
f(4) = 4 + 2 = 6
Thus, the values of f(-4), f(0), and f(4) are -2, 2, and 6 after plugging the value of x: -4, 0, and 4.
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The cost, c(x), for a taxi ride is given by c(x) = 3x + 2.00, where x is the number of minutes. What does the slope mean for this situation?
A. The rate of change of the cost of the taxi ride is $3.00 per minute.
B. The rate of change of the cost of the taxi ride is $2.00 per minute.
C. The taxi ride costs a total of $3.00.
D. The taxi ride costs $2.00 per trip.
Answer:
A. The rate of change of the cost of the taxi ride is $3.00 per minute.
Step-by-step explanation:
Write the decimal expansion for each number a. 1/9,
B.10/11, C.1 5/27
the vertices of triangle wxy are located at w(-14,20). x(10,4) and y (-2,-4). what is the approximate length of the midsegment parallel to xy?
The approximate length of the midsegment parallel to xy is 6.63
The midsegment of a triangle is a line segment that connects the midpoints of two sides of the triangle and has the same length as each of the two sides.
To find the midpoint of a line segment, we average the x-coordinates and the y-coordinates of its endpoints.
Since the question stated that the midsegment is parallel to xy, we need to find midpoint of xw and yw.
First, let's find the midpoint of side xw:
Midpoint of xw : ((-14+10)/2, (20+4)/2) = (-2, 12)
Midpoint of yw : ((-14-2)/2, (20-4)/2) = (-8, 8 )
The length of a line segment between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system can be calculated using the distance formula:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Length line of midpoint xw and midpoint yw :
√((-2-(-8))^2 + (12-(8))^2) = √(6^2 + 4^2) = √(36 + 8) = √44
So, the length of the midsegment is parallel to XY, which is approximately equal to √44 = 6.63
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Quadrilateral DEFG is a rectangle.
If m∠EFD = 2x - 3 and m∠DFG = x + 12 , find m∠EFD .
Substituting this value back into the equation m∠EFD = 2x - 3, we can find the measure of angle EFD.
m∠EFD = 2(46.5) - 3 = 93 - 3 = 90 degrees.
To find the measure of angle EFD, we can use the fact that the angles in a rectangle are all right angles, or 90 degrees.
Given that DEFG is a rectangle, we know that angle EFD is a right angle.
Therefore, m∠EFD = 90 degrees.
We are also given that m∠EFD = 2x - 3 and m∠DFG = x + 12.
Since m∠EFD = 90 degrees, we can set up the equation 2x - 3 = 90 and solve for x.
Adding 3 to both sides, we get 2x = 93.
Dividing both sides by 2, we find that x = 46.5.
Therefore, the measure of angle EFD is 90 degrees.
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John bikes 22 km per hour and starts at mile 10. Gymn bikes 28 km per hour and starts at mile 0. Which system of linear equations represents this situation?
Answer:
Step-by-step explanation:
The following are linear equations for the distance that John has biked (J) and the distance that Gymn has biked (G). These two equations represent the situation being described using the values provided.
J = 22x + 10
G = 28x + 0
In these equations the variable x represents the number of hours each of the bicyclists have biked.
If weight is an explanatory variable and cost is the corresponding response variable which of these would be represented by the y-axis on a scatterplot A. Weight B. Neither weight nor cost C. Both weight and cost D. Cost
Answer:
D. Cost
Step-by-step explanation:
In a scatter diagram we have that the x axis corresponds to the explanatory variable or also called the independent variable, since it is the value that is entered in the equation and does not depend on another.
While the y-axis corresponds to the response variable or also called the dependent variable since it is the value of the result of the equation
In this case, the explanatory variable is weight, that is, on the x-axis the weight would go and the cost is the response variable and would go on the y-axis, therefore, the answer is D. Cost
Full process to:
p+(3+p).2=27
Find the product of 32 and 46. Now reverse the digits and find the product of 23 and 64. The products are the same!
Does this happen with any pair of two-digit numbers? Find two other pairs of two-digit numbers that have this property.
Is there a way to tell (without doing the arithmetic) if a given pair of two-digit numbers will have this property?
Let's calculate the products and check if they indeed have the same value:
Product of 32 and 46:
32 * 46 = 1,472
Reverse the digits of 23 and 64:
23 * 64 = 1,472
As you mentioned, the products are the same. This phenomenon is not unique to this particular pair of numbers. In fact, it occurs with any pair of two-digit numbers whose digits, when reversed, are the same as the product of the original numbers.
To find two other pairs of two-digit numbers that have this property, we can explore a few examples:
Product of 13 and 62:
13 * 62 = 806
Reversed digits: 31 * 26 = 806
Product of 17 and 83:
17 * 83 = 1,411
Reversed digits: 71 * 38 = 1,411
As for determining if a given pair of two-digit numbers will have this property without actually performing the multiplication, there is a simple rule. For any pair of two-digit numbers (AB and CD), if the sum of A and D equals the sum of B and C, then the products of the original and reversed digits will be the same.
For example, let's consider the pair 25 and 79:
A = 2, B = 5, C = 7, D = 9
The sum of A and D is 2 + 9 = 11, and the sum of B and C is 5 + 7 = 12. Since the sums are not equal (11 ≠ 12), we can determine that the products of the original and reversed digits will not be the same for this pair.
Therefore, by checking the sums of the digits in the two-digit numbers, we can determine whether they will have the property of the products being the same when digits are reversed.
Each chart has which three components (choose three)?
A. Forecast of customer
B. A center line representing the average
C. An upper line representing last week's sample
D. A lower line representing last week's sample
E. An upper line representing the maximum acceptable variation upwards
F. A lower line representing the maximum acceptable variation downwards
G. A center line representing the maximum acceptable variation centrally
Each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.Option B,E,F.
Each chart has the following three components:
1. B. A center line representing the average: This line is drawn to show the average value or mean of the data being analyzed. It provides a reference point to compare the data points above and below it.
2. E. An upper line representing the maximum acceptable variation upwards: This line is drawn to indicate the upper limit of acceptable variation or deviation from the average. It helps identify if the data points exceed the acceptable range.
3. F. A lower line representing the maximum acceptable variation downwards: This line is drawn to indicate the lower limit of acceptable variation or deviation from the average. It helps identify if the data points fall below the acceptable range.
These three components together create a control chart, which is a graphical representation used in statistical process control. Control charts help monitor and analyze data over time, allowing organizations to identify trends, detect abnormalities, and make data-driven decisions to improve processes and quality.
In summary, each chart consists of a center line representing the average, an upper line indicating the maximum acceptable deviation upwards, and a lower line indicating the maximum acceptable deviation downwards. These components help analyze data and monitor process performance.
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what is the value of x?
Answer:
If you mean the angle at X... 70°
Step-by-step explanation:
Angles on a straight line sum up to 180°115° + Y = 180°Y = 180° - 115° = 65°Angles in a triangle sum up to 180°X + Y + Z = 180°(4k + 5)° + (6k + 10)° + 65° = 180°We turn everything into degrees4k° + 5° + 6k° + 10° + 65° = 180°We then sum up the "like" terms (as in, we put all the k together, and put all the normal numbers together)10k° + 80° = 180°10k° = 180° - 80° = 100°k° = 100° ÷ 10 = 10°At X:6k° + 10° = 6 × 10° + 10° = 60° + 10° = 70°A hair color manufacturer performed a survey which was normally distributed. They found that the average age at which a person's hair starts turning gray is 32 years, with a standard deviation of 4 years. Which of the following graphs displays the normal distribution of the average age at which a person's hair starts turning gray?
W.
X.
Y.
Z.
Answer: X
Step-by-step explanation:
Analysis: Our goal in this activity is to calculate a 95% confidence interval for the difference in proportions that think that the COVID-19 situation is getting better when comparing Republicans to Democrats. Let group 1 be Republicans, and group 2 be Democrats.
1. What population parameter are we trying to build an interval estimate for? Use correct notation
2. Calculate the sample estimate for this quantity. Use correct notation.
3. Now we use Statkey to build a bootstrap confidence interval. Create a bootstrap distribution using at least 5,000 bootstrap samples. What is the standard error for the original sample statistic?
4. What is the center of your bootstrap distribution?
5. How does it compare to the sample estimate from the original sample?
6. Compute the 95% confidence interval for the population parameter.
1. The population parameter are we trying to build an interval estimate for is p2 - p1.
2. The sample estimate for this quantity is 5000.
3. The standard error for the original sample statistic is μ
4. The center of your bootstrap distribution is variability.
5. The bootstrap distribution represents many possible values of the sample statistic
6. The 95% confidence interval for the population parameter is 2.5 percentile
The population parameter we are trying to estimate is the difference in proportions between Republicans and Democrats who think that the COVID-19 situation is getting better. We can represent this parameter as p1 - p2, where p1 is the proportion of Republicans who think the COVID-19 situation is getting better, and p2 is the proportion of Democrats who think the COVID-19 situation is getting better.
To calculate the sample estimate for this quantity, we need to collect data from a sample of Republicans and Democrats and calculate the difference in proportions who think the COVID-19 situation is getting better.
To build a bootstrap confidence interval, we first create a bootstrap distribution by resampling our original sample with replacement many times at least 5,000 times.
The center of our bootstrap distribution is the mean of the bootstrap samples, which is an estimate of the true population parameter. We can represent this center as the mean of our bootstrap distribution, denoted as μ.
The center of the bootstrap distribution is likely to be close to the sample estimate, but it may be slightly different due to the variability in the bootstrap samples.
To compute the 95% confidence interval, we need to find the range of values in our bootstrap distribution that contains 95% of the values. We can do this by finding the 2.5th percentile and the 97.5th percentile of the bootstrap distribution, which represent the lower and upper bounds of our confidence interval.
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Suppose that the body temperatures of healthy koalas are normally distributed with a mean of 35.6°C and a standard deviation of 1.3°C. What is the probability that a random sample of n=30 healthy koalas has a mean body temperature of more than 36.2°C? Round to 3 decimal places.
The probability that a random sample of 30 healthy koalas has a mean body temperature of more than 36.2°C is 0.006.
To find the probability, we can use the Central Limit Theorem since the sample size is large (n = 30). According to the Central Limit Theorem, the sampling distribution of the sample mean approaches a normal distribution with a mean equal to the population mean (35.6°C) and a standard deviation equal to the population standard deviation divided by the square root of the sample size (1.3°C/sqrt(30)).
Now, we can standardize the sample mean using the formula z = (x - μ) / (σ / sqrt(n)), where x is the desired value (36.2°C), μ is the population mean (35.6°C), σ is the population standard deviation (1.3°C), and n is the sample size (30).
Calculating the z-score, we get z = (36.2 - 35.6) / (1.3 / sqrt(30)) ≈ 1.516.
To find the probability that the sample mean is more than 36.2°C, we need to find the area to the right of the z-score on the standard normal distribution. Consulting a standard normal distribution table or using a calculator, we find that the probability is approximately 0.006, rounded to three decimal places.
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At the end of a snowstorm, Ellie had 16 inches of snow on her lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling, how much snow would Ellie have on her lawn 4 hours after the snow began to melt? How much snow would Ellie have on her lawn after tt hours of snow melting?
Answer:
12 inches
Step-by-step explanation:
1 x 4 = 4
16 - 4 = 12
Snow after 4 hours: 16 Show after t hours: -1t
Step-by-step explanation:Snow after 4 hours:
starting amount = 16
melted snow= inches per hour×4
=1×4
=
4
final amount= starting amount−melted snow
= 16−4
=12
Snow after t hours:
starting amount= 16
melted snow= inches per hour×t
=1×t
=1t
final amount= starting amount−melted snow =16-1t