Answer:
(4, 2)
Step-by-step explanation:
Translation in right or left causes the x coordinate to change while translation in up or down causes the y coordinate to change.
Moving left or down causes the coordinates to be going negative.
Moving right or up causes the coordinates to be positive.
Original point (4, 6)
Up 4 units:
(4, 6 + 4) = (4, 10)
Down 8 units:
(4, 10 - 8) = (4, 2)
You end up at point (4, 2)
Katie bought 4 gallons of punch for the school Halloween dance. If she places a pitcher with 12 gallon on each table at the dance, how many tables does she set up with punch? Question 1 options: 412 tables 2 tables 8 tables 1 table
Answer:
8 tables!
Thanks for clarifying.
Find the length of line segment AB
Answer:
.
Step-by-step explanation:
So from A to B. We can see that the coordinate point a is at negative 3 and at the point B is at negative 1. We can find the length of this line segment by taking a minus B on the number line or B.
Julia went to the grocery store and purchased cans of soup and frozen dinners. Each can of soup has 350 mg of sodium and each frozen dinner has 500 mg of sodium. Julia purchased twice as many cans of soup as frozen dinners and they all collectively contain 4800 mg of sodium. Write a system of equations that could be used to determine the number of cans of soup purchased and the number of frozen dinners purchased. Define the variables that you use to write the system.
The number of cans of soup purchased and the number of frozen dinners purchased can be found using the system of equations,
x - 2y = 0 and 7x + 10y = 96.
What does a System of Linear Equations define?Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.
System of linear equations involve two or more linear equations.
Let x and y be the number of cans of soup purchased and the number of frozen dinners purchased respectively.
Amount of sodium in one can of soup = 350 mg
Amount of sodium in x can of soup = 350x
Similarly,
Amount of sodium in one frozen dinner = 500 mg
Amount of sodium in y frozen dinner = 500y
Given that, Julia purchased twice as many cans of soup as frozen dinners.
x = 2y
⇒ x - 2y = 0
They all collectively contain 4800 mg of sodium.
350x + 500y = 4800
⇒ 7x + 10y = 96
Hence the system of equations are x - 2y = 0 and 7x + 10y = 96.
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sarah is playing a game in which she rolls a number cube 20 times the results are recorded in the chart below. what is the experimental probability of rolling a 1 or a 2? answers 0.3, 0.45, 0.65, 1.25.
The experimental probability of rolling a 1 or a 2 is 0.2.
Hence, Option A is correct.
We know that,
The experimental probability of an event is defined as the number of times the event occurred divided by the total number of trials.
In this case,
The event is rolling a 1 or a 3,
Which occurred ⇒ 3 + 1
= 4 times.
Given that there are total number of trials = 20.
Therefore,
The experimental probability of rolling a 1 or a 3 = 4/20,
= 1/5
= 0.2
Hence, the required probability is 0.2.
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The complete question is:
Sarah is playing a game in which she rolls a number cube 20 times. The results are recorded in the chart below. What is the experimental probability of rolling a 1 or a 3?
Number on cube:1,2,3,4,5,6
Number of times event occurs:3,6,1,5,3,2
A.0.2
B.0.3
C.0.6
D.0.83
1/9 divided by 8/7 this is called dividing fractions
Answer:
True?
Step-by-step explanation:
817 inhabitants live in a village. Of them, 241 are children.
Of the adults, there are 56 more women than men in the village.
How many men live in the village?
The number of men living in the village is 260.
How do you solve a linear equation system?A collection of many linear equations that include the same variables is referred to as a system of linear equations. A linear equation system is often composed of two or more linear equations with two or more variables.A linear equation with two variables, x and y, has the following general form:
\(ax + by = c\)
Given:
Total inhabitants in the village: 817
Number of children: 241
There are 56 more women than men in the village
Total adults = Total inhabitants - Number of children
Total adults = 817 - 241
Total adults = 576
Let number of men in the village be 'x' and number of women in the village be 'y',
∴ y=x+56 (given) ..................(1)
Also, x+y=576 .................(2)
From equation (1) and (2),
x + (x + 56) = 576
2x + 56 = 576
2x = 576 - 56
2x = 520
x = 520 / 2
x = 260
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studies that assign subjects to intervention groups on the basis of their extreme scores are vulnerable to regression toward the mean. True or False
An expert witness for a paternity lawsuit testifies that the length of a pregnancy is normally distributed with a mean of 280 days and a standard deviation of 13 days. An alleged father was out of the country from 240 to 306 days before the birth of the child, so the pregnancy would have been less than 240 days or more than 306 days long if he was the father. The birth was uncomplicated, and the child needed no medical intervention. What is the probability that he was NOT the father? What is the probability that he could be the father? Calculate the z-scores first, and then use those to calculate the probability.
The probability that the alleged father was not the father is: 0.024, or 2.4% and The probability that the alleged father could be the father is: 0.953, or 95.3%.
To calculate the probability that the alleged father was not the father, we first need to calculate the z-score for a pregnancy length of 240 days and for a pregnancy length of 306 days. The z-score formula is:
z = (x - mu) / sigmawhere x is the pregnancy length, mu is the mean pregnancy length, and sigma is the standard deviation of pregnancy length.
For a pregnancy length of 240 days, the z-score is:
z = (240 - 280) / 13 = -3.08For a pregnancy length of 306 days, the z-score is:
z = (306 - 280) / 13 = 2.00To calculate the probability that the alleged father was not the father, we need to find the area under the normal distribution curve to the left of the z-score for a pregnancy length of 240 days and to the right of the z-score for a pregnancy length of 306 days, and then add these probabilities together. Using a standard normal distribution table or calculator, we find that the probability to the left of z = -3.08 is approximately 0.001, and the probability to the right of z = 2.00 is approximately 0.023. Therefore, the probability that the alleged father was not the father is:
0.001 + 0.023 = 0.024, or 2.4%To calculate the probability that the alleged father could be the father, we need to find the area under the normal distribution curve between the z-scores for a pregnancy length of 240 days and a pregnancy length of 306 days. Using a standard normal distribution table or calculator, we find that the probability between z = -3.08 and z = 2.00 is approximately 0.953. Therefore, the probability that the alleged father could be the father is:
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Which of the following is an advantage of a matrix organization?
a. clear organizational structure
b. coordination of complex and independent activities
c. elimination of power struggles.
d. all of the above
An advantage of a matrix organization is (d) all of the above.
How does a matrix organization provide clarity and coordination, and eliminate power struggles?A matrix organization is a type of organizational structure that combines elements of both functional and project-based structures. It has several advantages, which are represented by options a, b, and c:
Clear organizational structure:In a matrix organization, there is a clear definition of roles, responsibilities, and reporting lines.
This clarity helps in reducing ambiguity and provides employees with a better understanding of their position within the organization.
Coordination of complex and independent activities:One of the key advantages of a matrix organization is its ability to coordinate complex and independent activities.
By having multiple reporting lines and cross-functional teams, different departments or divisions can work together more effectively, sharing resources and expertise to achieve common goals.
This enables better coordination and integration of activities across the organization.
Elimination of power struggles:In a matrix organization, power struggles can be minimized because decision-making and authority are distributed across different levels and functions.
This helps to reduce conflicts that may arise from a traditional hierarchical structure and encourages collaboration among team members.
Therefore, all of the options provided (a, b, and c) are advantages of a matrix organization.
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are f(x)=1/8x^3 and g(x)=2x^1/3 inverses of each other? Check all that apply.
PLEASE SHOW WORK!
The simplified expression for f(g(x)) is x.
The simplified expression for f(g(x)) is One-fourth x.
The simplified expression for g(f(x)) is 2x.
The simplified expression for g(f(x)) is x.
The functions are inverses of each other.
The functions are not inverses of each other.
Answer: 1,4,5
Step-by-step explanation:
The correct options are, The simplified expression for g(f(x)) is x.
The functions are not inverses of each other.
What is an inverse function?First to be an inverse function that function needs to one to one function, meaning every different preimage must correspond to a different image.
We can obtain the inverse of a function by switching the variables x and y with their respective positions and solving for y in terms of x.
Given, f(x) = 1/(8x³).
f(x) = 1/(2x)³.
y = 1/(2x)³.
(2x)³ = 1/y.
\(2x = \frac{1}{y^\frac{1}{3}}\).
\(x = \frac{1}{2y^\frac{1}{3}}\).
\(f^{-1}(x) = \frac{1}{2x^\frac{1}{3}}\) and g(x) = \(2x^\frac{1}{3}\) so, they are not inverses of each other.
Now, f(g(x)) = \(\frac{1}{8((2x)^\frac{1}{3})^3}\).
f(g(x)) = 1/16x.
g(f(x)) = \(2(1/8x^3)^\frac{1}{3}\).
g(f(x)) = x
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x^2y(7xy^4)
helppppp
4x+8y=20, -4x+2y=-30
Answer:
(7, - 1 )
Step-by-step explanation:
4x + 8y = 20 → (1)
- 4x + 2y = - 30 → (2)
adding the 2 equations term by term eliminates x
0 + 10y = - 10
10y = - 10 ( divide both sides by 10 )
y = - 1
substitute y = - 1 into either of the 2 equations and solve for x
substituting into (1)
4x + 8(- 1) = 20
4x - 8 = 20 ( add 8 to both sides )
4x = 28 ( divide both sides by 4 )
x = 7
solution is (7, - 1 )
Use+the+following+data+to+compute+the+relative+market+share+of+each+brand+and+its+position+on+the+growth-share+matrix+if+the+market+growth+rate+is+13. 4%. +which+of+the+following+is+correct?
Market share is simply the percentage of the total revenue or sales in a market which a particular business makes.
What is a market share?
Your information is incomplete. Therefore, an overview of the market share will be given. Market share is a measure of consumers' or businesses' preference for a product over other similar products.
A higher market share means greater sales and less effort is needed to sell more and a strong barrier to entry for other competitors.
For example, if there are 50,000 units sold per year in an industry, a company that has sales of 5,000 of those units would then have a 10 percent share in that market.
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solve for the variable
need an answer please asap!
Answer:
Step-by-step explanation:
(A). The quadrilateral ABCD is a trapezoid.
(B). A = 36 units²
Number between 250 and
350. It’s square root is an integer
Answer:
256, 289, 324.
Step-by-step explanation:
256, square root is 16.
289, square root is 17.
324, square root is 18.
What is the slope of the line perpendicular to y 1 4x 10?
The slope of the line perpendicular to the given line is equal to -4/1.
The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
To find the slope perpendicular to the line you must find the negative reciprocal of 1/4. (Which just means change the sign then flip the fraction)
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
Thus, the slope of the line perpendicular to the given line is equal to -4/1.
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The equation is in the form y=mx+b
so, y=(1/4)x -10
First, find the slope of the line which is the value being multiplied by x. Therefore m=1/4
Multiplying 1/4 by -1 which is -1/4
Then flip the fraction and keep the sign with the numerator to find the reciprocal. So now it’s -4/1
Terry drove 366 miles in 6 hours at a constant speed. How long would it take him to drive 427 miles at the same speed
Find his speed by dividing 366 miles by 6 hours:
366/6 = 61 miles per hour.
Divide 427 miles by 61 miles per hour to find the time:
427/61 = 7 hours
The answer is 7 hours.
Answer:
8 1/2 hours
Step-by-step explanation:
Sped
pls help me, i’ll give brainliest
Answer:
The answer is c my bad
Step-by-step explanation: your welcome
It is give me brainliest :)
Answer:
c
Step-by-step explanation:
Suppose 0 is an angle in the standard position whose terminal side is in Quadrant IV and cot0= -9/18 Find the exact values of the five remaining trigonometric functions of 0
Answer:
qfvgàwq sewaro kámí leotaní
Rewrite, using the distributive
property.
16b-8b = ([?]-8)b = [?]b
Answer:
8b
Step-by-step explanation:
You can factor the b-term out since b-term exists for all terms in the expression. By factoring out, you are basically dividing the factored term off and put it outside of the bracket, thus:
\(\displaystyle{16b-8b=\left(16-8\right)b}\)
Then evaluate and simplify:
\(\displaystyle{\left(16-8\right)b=8\cdot b}\\\\\displaystyle{=8b}\)
2|3x - 2|= 14 how would you solve this absolute value equation?
Answer: 2. |3x-2|= 14
|3x-2|=2.7/2
|3x-2|=7
x∈ {3,-5/3
Step-by-step explanation: \frac{5}{3}
Answer:
x = 3x = - 5/3Step-by-step explanation:
2|3x - 2|= 14|3x - 2|= 71) 3x - 2 ≥ 0 ⇒ 3x ≥ 2 ⇒ x ≥ 2/3
3x - 2 = 73x = 9x = 3 is valid root as 3 ≥ 2/32) 3x - 2 < 0 ⇒ 3x < 2 ⇒ x < 2/3
- (3x - 2) = 73x - 2 = -73x = -5x = -5/3 is valid root as -5/3 < 2/3In terms of relative growth rate, what is the defining property of exponential growth?
In terms of relative growth rate Exponential growth is characterized by a constant relative growth rate.
Exponential growth is the process of increasing quantity over time. Occurs when the instantaneous rate of change of a quantity over time is proportional to the quantity itself. The exponential growth model has the form
y (t) = C eᵏᵗ, where k is the rate constant.
Relative Growth Rate:Relative growth rate (RGR) is the rate of growth relative to size. That is, the rate of growth per unit time relative to the size at that point in time and y'(t)/y(t) is the relative growth rate of a function y at time t.
1/y dy/dt = 1/y d(C eᵏᵗ)/dt
= 1/y(kC eᵏᵗ)
= 1/y ( ky) ( since, y (t) = C eᵏᵗ)
= k
Therefore a constant relative growth rate.
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Complete question:
In terms of relative growth rate, what is the defining property of exponential growth? Choose the correct answer below.
A. The relative growth rate at time t is the slope of the exponential function at time t.
B. dy dt If y represents a population, then the relative growth rate can be represented by dy/dt
C. The relative growth rate is proportional to the size of the population
D. The relative growth rate is constant.
You borrow $500 to goon a trip. The bank charges 11% interest for 2 years. Find the interest
Below are ten scores for two different students. Students have a choice: they can take the median of their scores as their final grade, or they can take the mean of their scores as a final grade. Scores are rounded to the nearest whole number. For each student tell which option would result in the highest grade.
Student A: 25, 78, 80, 82, 85, 86, 88, 89, 96, 99
Student B: 71, 77, 77, 79, 79, 80, 88, 89, 91, 96
Find the median and mean for both students.
Answer:
Step-by-step explanation:
Student A:
Mean 80.8
Median: 85.5
The Median is a higher score.
Student B:
Mean 82.7
Median: 79.5
Mean is a higher score
Answer:
Student A's median and Student B's mean would result in the highest grade.
Step-by-step explanation:
How to find the mean:
The mean is the average.
Therefore, you must add all numbers listed, then divide the added numbers by the amount of numbers you added together. Lastly, as instructed round to the nearest whole number.
- Student A : Mean = 81
Step 1 : 25+78+80+82+85+86+88+89+96+99 = 808
Step 2: 808 ÷ 10 = 80.8
Step 3: 80.8 ---> 81
- Student B: Mean = 83
Step 1: 71+77+77+79+79+80+88+89+91+96 = 827
Step 2: 827 ÷ 10 = 82.7
Step 3: 82.7 ---> 83
How to find the median:
The median is the middle number in a sorted list of numbers.
Therefore, you list all of the numbers from least to greatest. Then, you get rid of a number from each side until you finally get to the center number. If there are two numbers left in the center you then find the mean(average) of those numbers.
- Student A: Median = 86
Step 1: Knock off a number from each side until you reach the center number(s)
25, 78, 80, 82, 85, 86, 88, 89, 96, 99 ---> 85, 86
Step 2: Find the mean(average) of the two central numbers
85 + 86 = 171 ---> 171 ÷ 2 = 85.5
Step 3: Round your answer
85.5 ---> 86
- Student B: Median = 80
Step1: Knock off a number from each side until you reach the center number(s)
71, 77, 77, 79, 79, 80, 88, 89, 91, 96 ---> 79, 80
Step 2: Find the mean(average) of the two central numbers
79 + 80 ---> 159 ÷ 2 = 79.5
Step 3: Round your answer
79.5 ---> 80
(a) (i) What conditions should be satisfied to use image averaging method for noise reduction? (ii) Using mathematical expressions, characterize the noise in the resultant image when K images are averaged, as K becomes large. (iii) Would you select spatial averaging or temporal image averaging when either method can be used for noise reduction? Explain your selection in detail.
(a)image averaging is a very effective method of reducing noise in images. Image averaging reduces noise by adding multiple images of the same scene together and then dividing by the number of images added.The conditions that must be fulfilled for the image averaging method are as follows:-
(i) The background of the image must not move between each image capture.- The noise present in the image must be random.- The source of the noise must be consistent.
(ii)The mathematical expression that characterizes the noise in the resultant image when K images are averaged, as K becomes large is given by;sigma_n^2/K
Where;sigma_n^2 is the variance of the noise and K is the number of images that have been averaged.
Therefore, as K increases, the variance of the noise in the resultant image reduces, and thus, the noise reduces.When either method can be used for noise reduction, the temporal image averaging method would be the preferred method to select.
(iii)This is because it uses a sequence of images that are taken at different times, usually at high speeds, to produce a single image that is free of noise. This method is best when dealing with fast-moving objects, and it can be used in situations where the camera cannot be stabilized and is experiencing unwanted vibration or shaking.
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a = bc + d , solve for b
Answer:
Your answer is in the attachment!!Step-by-step explanation:
HOPE IT HELPS YOU!!Answer:
\(b=\) \(\frac{a-d}{c}\)
Step-by-step explanation:
Hope this helps!
Express the function as the sum of a power series by first using partial fractions. f(x) = 11/(x^2 - 7x - 18). f(x) = siqma^infinity_n=0 (_________)Find the interval of convergence. (Enter your answer using interval notation.)
The interval of convergence is (-18/5, 18/5).
To express f(x) as a power series, we first need to decompose it into partial fractions:
f(x) = 11/(x^2 - 7x - 18) = 11/[(x - 9)(x + 2)]
Using partial fractions, we can write:
11/[(x - 9)(x + 2)] = A/(x - 9) + B/(x + 2)
Multiplying both sides by the denominator (x - 9)(x + 2), we get:
11 = A(x + 2) + B(x - 9)
Setting x = 9, we get:
11 = A(9 + 2)
A = 1
Setting x = -2, we get:
11 = B(-2 - 9)
B = -1
Therefore, we have:
f(x) = 1/(x - 9) - 1/(x + 2)
Now, we can write the power series of each term using the formula for a geometric series:
1/(x - 9) = -1/18 (1 - x/9)^(-1) = -1/18 * sigma^n=0 to infinity (x/9)^n
1/(x + 2) = 1/11 (1 - x/(-2))^(-1) = 1/11 * sigma^n=0 to infinity (-x/2)^n
So, putting everything together, we get:
f(x) = 1/(x - 9) - 1/(x + 2) = -1/18 * sigma^n=0 to infinity (x/9)^n + 1/11 * sigma^n=0 to infinity (-x/2)^n
The interval of convergence can be found using the ratio test:
|a_n+1 / a_n| = |(-x/9)^(n+1) / (-x/9)^n| + |(-x/2)^(n+1) / (-x/2)^n|
= |x/9| + |x/2|
= (|x|/9) + (|x|/2)
For the series to converge, we need |a_n+1 / a_n| < 1. This happens when:
(|x|/9) + (|x|/2) < 1
Solving for |x|, we get:
|x| < 18/5
Therefore, the interval of convergence is (-18/5, 18/5).
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The entries in the index of the National Codes are listed under one main term. True or False?
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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An 18-ounce bottle of juice costs $4.86. What is the unit rate for the juice
Answer:
3.7
Step-by-step explanation:
Answer:
The Unit Rate would be 0.27:1
Step-by-step explanation:
Divide 4.86 by 18 to get 0.27
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