Answers
According to the problem, we have the following transformations:
• A translation of 1 unit left.
,• A translation of 6 units down.
Remember that a translation to the left means we have to subtract from the x-value, and a translation down means we have to subtract from the y-value. Let's apply the transformations to each vertex.
\(\begin{gathered} V(3,9)\rightarrow V^{\prime}(3-1,9-6)\rightarrow V^{\prime}(2,3) \\ U(3,-1)\rightarrow U^{\prime}(3-1,-1-6)\rightarrow U^{\prime}(2,-7) \\ W(-5,-1)\rightarrow W^{\prime}(-5-1,-1-6)\rightarrow W^{\prime}(-6,-7) \end{gathered}\)Once we have the new vertices, we proceed to plot them and draw the translated figure.
Related Questions
−90 = −100 + x What value of x makes this equation true?
Answers
Answer:
x would equal 10
hope this helps :D
Someone please help me with this question thank youuu
Answers
Answer: 148 degrees
Step-by-step explanation:
The total measure of all exterior angles of a convex pentagon is 360 degrees.
If four of them equal 53 degrees then all those together is 212 degrees
53 times 4 = 212
Then you would just subtract 212 from 360 to see the measure of the last exterior angle. Which is 148 degrees!
Hope this helps :)
What is one fifth of twenty more than half
of 80?
(A) 8
(B) 10
(C) 12
(D) 13
Answers
Answer:
(C) 12
Step-by-step explanation:
To solve this problem, we can use the following steps:
Find half of 80: 80/2 = 40
Add 20 to half of 80: 40 + 20 = 60
Find one fifth of the result: 60/5 = 12
Therefore, one fifth of twenty more than half of 80 is equal to 12. The correct answer is (C) 12.
Answer:
(C) 12
Step-by-step explanation:
What is one fifth of twenty more than half of 80
0.5 × 80 = 40
What is one fifth of twenty more than half of 80
40 + 20 = 60
What is one fifth of twenty more than half of 80
1/5 × 60 = 60/5 = 12
the following data gives the amount in thousand spend s on feeding by fourty
household in ibadan in febuary 2023
32,22,19,18,43,42,40,43,18,21,31,26,22,25,47,40,26,32,34,22,35,38,34,41,36,25,22,45,48,26,28,38,35,19,47,28,26,35,38,35.
( a) construct a frequency distribution using class interver
(b) hence compute the (1) class mark for each class (2)class boundary for each class (3) cummulate frequency of the distribution (4) relative frequency of the classes (5) relative cummulative frequency.
Answers
The frequency distribution is calculated below
How to construct the frequency distributionThe dataset is given as
32,22,19,18,43,42,40,43,18,21,31,26,22,25,47,40,26,32,34,22,35,38,34,41,36,25,22,45,48,26,28,38,35,19,47,28,26,35,38,35.
To construct a frequency distribution using class intervals, we calculate the class width as follows:
Class width = Range / Number of intervals
So, we have
Class width = (48 - 18)/5 = 6
Now we can construct the frequency distribution table:
Class Interval Frequency
18 - 23 9
24 - 29 8
30 - 35 9
36 - 41 7
42 - 47 6
48 - 53 1
The class mark for each class can be calculated as:
Class mark = (Lower limit + Upper limit) / 2
For the class boundaries, we use the following formula
Lower boundary = Lower limit - 0.5
Upper boundary = Upper limit + 0.5
For the cumulative frequency of the distribution, we need to add up the frequencies of each class and all the preceding classes.
Lastly, for the relative frequency we divide each frequency by the total frequency (40)
Using the above as a guide, we have
Interval Frequency Boundaries Mark CF
18 - 23 9 17.5 - 23.5 20.5 9
24 - 29 8 23.5 - 29.5 26.5 17
30 - 35 9 29.5 - 35.5 32.5 26
36 - 41 7 35.5 - 41.5 38.5 33
42 - 47 6 41.5 - 47.5 44.5 39
48 - 53 1 47.5 - 53.5 50.5 40
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Multiplying and Dividing Radicals
Simplify the following expressions.
Answers
1. The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/1. There do not appear to be any outliers in your data. (a) Do these samples provide convincing evidence at the 0.05 level that the water from this source contains unsafe levels of copper? Justify your answer. Justify the conditions for Independence. Be sure to answer within the context of the problem. * Your answer This is a required question Justify the conditions for Normality. Be sure to answer within the context of the problem. * Your answer O This is a required question
Answers
Based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.
What is statistics ?Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves applying mathematical and statistical techniques to extract meaningful insights from data, and to make decisions and predictions based on this information. Statistics is used in a wide range of fields, including business, economics, social sciences, health sciences, engineering, and more. It helps researchers, analysts, and decision-makers to identify patterns, relationships, and trends in data, and to draw conclusions based on statistical evidence.
According to given information :(a) To test whether the water from this source contains unsafe levels of copper, we need to perform a one-sample t-test with the null hypothesis that the mean copper content in the water is less than or equal to 1.3 mg/l and the alternative hypothesis that the mean copper content in the water is greater than 1.3 mg/l.
The test statistic is calculated as:
t = (x - μ) / (s / √n)
where x is the sample mean (1.36 mg/l), μ is the hypothesized population mean (1.3 mg/l), s is the sample standard deviation (0.18 mg/l), and n is the sample size (30).
Plugging in the values, we get:
t = (1.36 - 1.3) / (0.18 / √30) = 1.47
The degrees of freedom for this test is n - 1 = 29.
Using a t-table or calculator, we find the p-value associated with a t-statistic of 1.47 and 29 degrees of freedom to be approximately 0.076.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. Therefore, there is not enough evidence at the 0.05 level to conclude that the water from this source contains unsafe levels of copper.
Conditions for Independence: It is assumed that the water samples are independent of each other. This is because the sample is randomly selected and the size is less than 10% of the population. Also, it is assumed that the copper content in one water sample does not affect the copper content in another water sample.
Conditions for Normality: It is assumed that the distribution of the copper content in the population is approximately normal. We can justify this assumption based on the central limit theorem, which states that the distribution of the sample mean approaches normality as the sample size increases. Since the sample size is 30, we can assume that the sample mean follows a normal distribution. We can also check the normality assumption by creating a histogram or a normal probability plot of the data.
Therefore, based on the statistical analysis, there is not enough evidence to conclude that the water from the new source contains unsafe levels of copper at the 0.05 significance level.
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tanx(1+cos2x)=sin2x prove the identity
Answers
Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).
What is the prove of the given identity?To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.
Starting with the left-hand side (LHS):
tan(x)(1 + cos(2x))
We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:
LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))
Next, we can simplify the expression by expanding and combining like terms:
LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)
Simplifying further:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
Now, let's work on the right-hand side (RHS):
sin(2x)
Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).
Now, let's compare the LHS and RHS expressions:
LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)
RHS = 2sin(x)cos(x)
To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:
LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)
Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:
LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)
= [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)
= 2sin(x) - 2sin³(x) / cos(x)
Now, using the identity 2sin(x) = sin(2x), we can simplify further:
LHS = sin(2x) - 2sin³(x) / cos(x)
Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.
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When we hear an echo we are experiencing which of the following characteristics of sounds waves
Answers
Answer:
diourfd
Step-by-step explanation:
Question 4 of 10
Which situation best illustrates the concept of absolute advantage?
A. A German factory can build more sports cars than foreign factories.
B. Most of the world's largest companies have operations in many different countries.
C. The total value of Japanese imports is greater than the total value of the country's exports.
D. A French restaurant buys food from nearby farms to support the local economy.
Answers
Situation which illustrates best the concept of absolute advantage is: Option A - A German factory can build more sports cars than foreign factories.
Absolute advantage is the potential of an individual, a company, or a country to produce a higher quantity of output than its competitors while using the same inputs. It means an institution with absolute advantage has more efficiency in producing a particular commodity than its rivals. It utilizes lower marginal cost (materials and labor), making its output much cheaper than others.
A factory in German has an absolute advantage because it can produce more sports car than foreign countries. Absolute advantage makes the factory more competitive in the market than its rivals.
Therefore, the correct answer is option A.
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find missing side length ? pls ty
Answers
Answer:
a
Step-by-step explanation:
because for a 45-degree right triangle the two legs are the same and because the legs are sqrt 3, it is sqrt 6
Need Help!!!! A pre-image has coordinates J(3, -6) and K(-1, -2). The image has coordinates J'(6, 3) and K'(2, -1). Describe the clockwise rotational path of the line segment.
Answers
After considering the given data we conclude that the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
We have to evaluate the center and angle of rotation to explain the clockwise rotation of the line segment.
So in the first step, we can evaluate the midpoint of the line segment JK and the midpoint of the line segment J'K'. we can calculate the vector connecting the midpoint of JK to the midpoint of J'K'. This vector is (4-1, 1-(-4) = (3,5)
The center of rotation is the point that is equidistant from the midpoints of JK and J'K'. We can evaluate this point by finding the perpendicular bisector of the line segment connecting the midpoints.
The slope of this line is the negative reciprocal of the slope of the vector we just found, which is -3/5. We can apply the midpoint formula and the point-slope formula to evaluate the equation of the perpendicular bisector:
Midpoint of JK: (1, -4)
Midpoint of J'K': (4, 1)
The slope of the vector: 3/5
(x₁ + x₂)/2, (y₁ + y₂) /2
Point-slope formula: y - y₁ = m(x - x₁)
Perpendicular bisector: y - (-4) = (- 3/5)(x - 1)
Applying simplification , we get: y = (- 3/5)x - 1.2
To evaluate the center of rotation, we need to find the intersection point of the perpendicular bisector and the line passing through the midpoints of JK and J'K'. This line has slope ( 3 - (4)) /(4 - 1) = 7/3 and passes through the point (4, 1). Applying the point-slope formula, we can evaluate its equation:
y - 1 = (7/3)( x - 4)
Apply simplification , we get: y = (7/3)x - 17/3
To evaluate the intersection point, we can solve the system of equations:
y =(- 3/5)x - 1.2 = (7/3)x - 17/3
Evaluating for x and y, we get x = -6 and y = -1.
Therefore, the center of rotation is (-6, -1).
√( 4 - 1)² + ( 1 - ( - 4))²) = 5√(2)
Distance between image points and center of rotation
√( ( 6 - (-6))² + ( 3 - (-1))² = 13
The ratio of these distances gives us the scale factor of the transformation, which is 13/√2).
The angle of rotation is negative as the image moves clockwise direction. We can apply the inverse tangent function to find the angle of the vector connecting the midpoint of JK to the midpoint of J'K':
Angle of vector: arctan(5/3) = 59.04 degrees
Therefore, the clockwise rotational path of the line segment is a rotation of -59.04 degrees about the point (-6, -1).
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Which expression is represented by the model?
Х
х
Х
Х
4x-3
4+3
-4X-3
-4x+3
Answers
Hope this helps :)
Help please 10 points
Answers
So you have to put the point on 0 and then go to your right
need to Graph y≥13x−3.
Answers
The dοtted line is the line y=13x3, and the shaded area is abοve it.
what the slοpe οf the line?As is well knοwn, the equatiοn fοr a straight line is y = mx + c. Where 'c' is the y-axis intercept and 'm' is the slοpe οn the y-axis. The fοrmula fοr a hοrizοntal line is y = 3.
In οrder tο graph the inequality y≥13x−3, we can first plοt the line y=13x3
(which has a slοpe οf 13 and a y-intercept οf -3) as a dοtted line.
Since the inequality is y≥13x−3, we must shade the area abοve the line.
The dοtted line is the line y=13x3, and the shaded area is abοve it.
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Two times the sum of a number and 8 is negative 48 what is the number?
Answers
Answer:
-32
Step-by-step explanation:
Let the number be x.
\(2(x+8)=-48 \\ \\ x+8=-24 \\ \\ x=-32\)
Is 40 is 50% of 80 true or false
With step by step evidence
Answers
Answer:
please mark brainliest
it is true
Step-by-step explanation:
if you multiplie 80 by 0.50 you will get 40,
The value of a bicycle was recorded over a period of five years. Based on how the plot of the residuals
might look, would a linear function that passes through (O,250) and (4,25) be a good fit for the data
shown?
Yes, the residuals would tend to be one-sided.
300
250
No, the residuals would tend to be one-sided.
No, the residuals would be randomly distributed.
Value of Bicycle (in dollars)
150
100
Yes, the residuals would be randomly distributed.
50
.
0 1 2 3 4 5 x
Age of Bicycle (in years)
Answers
Answer:
yes, the residuals would tend to be one-sided
Step-by-step explanation:
Have a Nice Day!
By using a straight line to join the points in plot, The residuals would tend to be one-sided.
What is a straight line?"A line is simply an object in geometry that is characterized under zero width object that extends on both sides. A straight line is just a line with no curves. So, a line that extends to both sides till infinity and has no curves is called a straight line."
What is a plot?"A plot is a graphical technique for representing a data set, usually as a graph showing the relationship between two or more variables."
By joining (0, 250) and (4, 25) by a straight line puts three other points below it in the plot.
So, the residuals would tend to be one-sided.
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Help! Is the following relation a function?
Yes or no?
Answers
Answer:
no it is not a fuction
Step-by-step explanation:
12. A plot of land is used to grow flowers. of the land is allocated for orchids. 2 After the orchids have been planted, of the remaining land is allocated for roses. After orchids and roses have been planted, 0.75 of the remaining land is allocated for tulips. What fraction of the plot of land is not occupied by the flowers?
Answers
The fraction of the plot of land not occupied by the flowers is 0.0625 or 1/16.
Let's calculate the fraction of the plot of land that is not occupied by the flowers.
Given that initially, 1/4 of the land is allocated for orchids, we have 1 - 1/4 = 3/4 of the land remaining.
After planting the orchids, 2/3 of the remaining land is allocated for roses. Therefore, the fraction of land allocated for roses is (2/3) * (3/4) = 2/4 = 1/2.
Subtracting the land allocated for roses from the remaining land, we have 3/4 - 1/2 = 1/4 of the land remaining.
Finally, 0.75 of the remaining land is allocated for tulips. Therefore, the fraction of land allocated for tulips is 0.75 * (1/4) = 0.1875.
To find the fraction of the plot of land not occupied by the flowers, we subtract the fractions of land allocated for flowers from 1:
1 - (1/4 + 1/2 + 0.1875) = 1 - 0.9375 = 0.0625.
Therefore, the fraction of the plot of land not occupied by the flowers is 0.0625.
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Select all of the following expressions that require
use of the distributive property to simplify.
√5(-√2)
√√5(√√7-√√2)
(√5 + √2)(-√7)
(3√5)(-7√2)
0 0 0
15.08
Answers
The options given are correct formulas and should use the distributive law √5(√7-√2) for simplicity.
(√5+√2)(-√7)
distribution characteristics
Given integers A, B, and C. According to the distributive law,
A(B + C) = AB + AC
From the formula we can see that A is distributed over B and C.
Therefore, the sum of the coefficients and terms must be in the parentheses of the distribution properties. Based on the options given, the correct formulas that should use the distribution characteristics for simplicity are √5(√7-√2) and
(√5+√2)(-√7)
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HELP PLEASE!!!
What is the radical form of each of the given expressions?
Drag the answer into the box to match each expression.
21
2
III
3
31
12
V33
V22
V32
Answers
Answer:
We cant drag?
Step-by-step explanation:
7 over 12 times 3 =
Answers
Answer:
1.75
Step-by-step explanation:
with pemdas 7÷12×3 its 1.75
Build the graph of the equation (x+8)(y-10)=0 FIND THE TWO POINTS
if you get it correct you get brainlyest
Answers
Answer:
x = -8y = 10Step-by-step explanation:
Theoretically speaking, both equations need to equal 0.
Let's start with (x + 8)
x + 8 = 0
x = 0 - 8
x = -8
Then, let's go to (y - 10)
y - 10 = 0
y = 10 = 0
y = 10
So, x = -8 & y = 10
Hope that helps!
I can't find the answer for 46.3 divided by 1.5 Help!
Answers
Is that what your looking for??
The solution to the problem when \(46.3\) divided by \(1.5\) the result of the division is \(30.8666667\) in decimal form.
When a large number is distributed into small numbers of equal parts is called division.
The number \(1.5\) is not a factor of \(46.3\) , on dividing them the remainder is not zero.
Therefore, first convert \(1.5\) it into a whole number by multiplying it \(10\) so it becomes \(15\) .
Then convert \(46.3\) it into a whole number by multiplying it by \(10\) so it becomes \(463\)
Here, \(\dfrac{463 \times 10}{15 \times 10}\) which results in \(\dfrac{463}{15}\).
Now, divide \(\dfrac{463}{15}\) , the result will be \(30.8666667\).
The solution to the problem when \(46.3\) divided by \(1.5\) the result is \(30.8666667\).
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What fraction would represent the ratio of the cost
of gas and oil to the total cost of running a car in
1994? Write your fraction in simplest form.
Gas and Oil- $750
Other-$2,250
Total cost-$3,000
Answers
3000 = 3000/1 = 30000/10
And finally we have:
3000 as a fraction equals 30000/10
Which the most accurate statement about progress monitoring?
a. Progress monitoring is a useful way to ensure children are participating in targeted, purposeful, and meaningful math instruction and allows for the teacher to identify the skills children may need additional support in.
b. Incorporating children's individual differences into lesson planning is not necessary since the curriculum includes all the skills children need to learn in the order they need to learn them.
c. Progress monitoring is about administering formal assessments at the beginning and end of the year.
Answers
Answer:
progress monitoring is used to access students academic and social emotional behaviour as EB progress examine rate of improvement and evaluate effectiveness of introduction are invention it is typical use with both individual students and small groups
Use the given zero to find the remaining zeros of the polynomial function.
P(x) = 2x3 − 5x2 + 6x − 2; 1 + i
Answers
Using the given zero . The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
What is the polynomial function?If 1 + i is a zero of the polynomial function P(x), then its conjugate, 1 - i, must also be a zero of the polynomial, since complex zeros of polynomial functions with real coefficients always come in conjugate pairs.
To find the remaining zero, we can use polynomial division or synthetic division to divide P(x) by (x - 1 - i)(x - 1 + i), which is the quadratic factor corresponding to the two known zeros:
2x^2 - 3x + 2
P(x) = --------------
(x - 1 - i)(x - 1 + i)
Now we need to solve for the roots of the quadratic factor 2x^2 - 3x + 2. We can use the quadratic formula:
x = [3 ± sqrt(9 - 4*2*2)] / (2*2)
= [3 ± sqrt(1)] / 4
= 1/2 or 2
Therefore, the remaining zeros of P(x) are 1/2 and 2. The three zeros of the polynomial function are 1 + i, 1 - i, 1/2, and 2.
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PLEASE DO THIS !!!!!!!!!!!!!!!!!!!!!!!!! IN THE PIC VERY EASY I GUESS PLEASEEEEEE ANSWER IT!!!!!! NO COPYING FROM ANY SOURCE THOUGH PLZZZZZZZZ! I WILL MARK BRAINLY CROWN THING IF UR ANSWER IS GOOD AND EXPLANATIONAL THANK YOUUUUU
Answers
Answer:
D. (the last one)
Step-by-step explanation:
The horizontal row lists the 3 outcomes of the spinner.
The vertial column lists the 2 outcomes of the card selection.
In the resulting sample space of 2x3=6, each table cell should contain the combination of the row value and the column value.
So in the "Orange" column, all cells below it should start with Orange. Same for the other columns.
In the Purple row, each cell should end with Purple.
Only that way, each table cell represents a possible outcome.
For each function, find f(−x) and −f(x) and then determine whether it is even, odd, or neither. Justify your answer. f(x)=2x^2-7x+10
Answers
The function f(x) = 2x² - 7x + 10 is an odd function.
f(-x) = 2(-x)² - 7(-x) + 10
= 2x² + 7x + 10
-f(x) = -[2x²- 7x + 10]
= -2x² + 7x - 10
To determine whether the function f(x) = 2x² - 7x + 10 is even, odd, or neither, we compare f(-x) and -f(x).
1. f(-x) = 2x² + 7x + 10
2. -f(x) = -2x² + 7x - 10
To determine if f(-x) = -f(x) (even function), we substitute -x for x in f(x) and check if the equation holds.
1. f(-x) = 2x² + 7x + 10
= f(x) (not equal to -f(x))
Since f(-x) is not equal to -f(x), the function is not even.
Next, to determine if f(-x) = -f(x) (odd function), we substitute -x for x in f(x) and check if the equation holds.
2. -f(x) = -2x² + 7x - 10
= -(2x² - 7x + 10)
= -(f(x))
Since -f(x) is equal to -(f(x)), the function is odd.
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A book is bought for 350 and sold for R490. Calculate the percentage profit.
Answers
well, the profit is clearly just 490 - 350 = 140.
Now, if we take 350(origin amount) to be the 100%, what is 140 off of it in percentage?
\(\begin{array}{ccll} Amount&\%\\ \cline{1-2} 350 & 100\\ 140& x \end{array} \implies \cfrac{350}{140}~~=~~\cfrac{100}{x} \\\\\\ \cfrac{5}{2} ~~=~~ \cfrac{100}{x}\implies 5x=200\implies x=\cfrac{200}{5}\implies x=40\)