In triangle XYZ The image will be in the second quadrant hence Joseph is correct
In the rectangle, the image of A' will be in the quadrant III hence Chad is correct
What is rotation in transformation?Rotation in transformation refers to the process of rotating an object around a fixed point by a certain angle, changing its orientation.
The fixed point is known as the center of rotation, and the angle of rotation determines the extent to which the object is rotated.
In 2D graphics, rotation can be represented by a matrix multiplication,
Inn the triangle rotation, the transformation rule is for 90° clockwise rotation
In the rectangle rotation, this is equivalent to reflection over the line y = x
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Tommy had 13 hits in 40 at bats for his baseball team. What is his batting average? (Batting average is the number of hits divided by the number of at bats, expressed as a decimal.)
Answer:
0.325 hits per bat
Step-by-step explanation:
13/40=0.325
1/40=1/4•1/10=0.25•0.1=0.02513/40=1/40•13=0.025•13=0.325Researchers pose the question: Can shoe size be predicted from a woman's height? A random sample of 18 females and their shoe size versus height (in inches) gives the regression results shown in the table.
Predictor Coeff SE Coeff t Ratio p-Value
Constant -45.74 32.58 -2.57 0.147
Height 0.5943 0.2984 1.99 0.042
S = 3.2178 R-Sq. = 18.9%
R-Sq. (adj) = 12.4%
Is there statistical evidence of a linear relationship between shoe size and height? (2 points)
Yes, there is statistical evidence of a linear relationship between shoe size and height.
How we can conclude the relationship between shoe size and height?Yes, at the 5% significance level, there is statistical evidence of a linear relationship between shoe size and height, as the p-value linked with the coefficient for height is less than 0.05.
The slope of the regression line is positive, showing that as height grows, so does shoe size.
The coefficient of determination (R-squared) is quite tiny, indicating that height can explain only a small amount of the variability in shoe size, but this does not rule out the existence of a statistically significant linear link between the two variables.
The modified R-squared value is negative, indicating that adding the height variable did not improve the model's overall fit.
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Answer: Yes, there is evidence at the 5% significance level
Step-by-step explanation:
Took the test.
if the matrix M is a linear combination of the matrices Mi, M2 and M3:M = [2 3 ] [1 2 ]M1 = [ 2 2 ][ 1 1 ] M2 = [ -1 1 ][ 2 1 ]M3 = [ 1 2 ] [ 3 1 ]if so, determine scalars c1, c2, c3 such that c1M1 + c2M2 +C2M3 = M.
The scalars c1 = 2/5, c2 = -3/5, and c3 = -8/5 satisfy the equation:
c1M1 + c2M2 + c3M3 = [ 2 3 ][ 1 2 ]
We want to find the scalars c1, c2, and c3 such that:
c1M1 + c2M2 + c3M3 = M
Substituting the given matrices:
c1[ 2 2 ] c2[ -1 1 ] c3[ 1 2 ] [ 2 3 ]
[ 1 1 ] [ 2 1 ] [ 3 1 ] [ 1 2 ]
Multiplying each scalar by its corresponding matrix:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ]
Setting the result equal to M:
[ 2c1 - c2 + c3 2c1 + 2c2 + 3c3 ] = [ 2 3 ]
[ c1 + 2c2 + 3c3 c1 + c2 + 2c3 ] [ 1 2 ]
This gives us two equations:
2c1 - c2 + c3 = 2
2c1 + 2c2 + 3c3 = 3
c1 + 2c2 + 3c3 = 1
c1 + c2 + 2c3 = 2
We can solve this system of equations using any method we prefer, such as elimination or substitution. Here, we will use elimination.
Subtracting the first equation from the second, we get:
3c2 + 4c3 = 1
Subtracting the third equation from fourth, we get:
c2 - c3 = 1
Multiplying second equation by 2, we get:
4c1 + 4c2 + 6c3 = 6
Subtracting first equation from this, we get:
5c2 + 5c3 = 4
Now we have three equations for c2 and c3:
3c2 + 4c3 = 1
c2 - c3 = 1
5c2 + 5c3 = 4
Solving for c2 and c3 using elimination, we get:
c2 = -3/5
c3 = -8/5
Substituting these values into the third equation, we get:
c1 = 2/5
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This circle has a circumference of 40 centimeters.
Calculate its diameter
Answer:
d≈12.73cm
Step-by-step explanation:
Using the formulas
C=2πr
d=2r
Solving for d
d = c/\(\pi\) = 40/\(\pi\) ≈12.7324cm
find a measure of each angle indicated
Answer:
127 degrees.
Step-by-step explanation:
These angles are corresponding angles so they have the same measurement.
Answer:
127 degrees
Step-by-step explanation:
These are corresponding angles,
First, number the angles
There should be 8.
The angle where it has 127 degrees is angle no.2 which is exterior
The angle where the question mark is angle no.6
So the answer is 127 because angle 2 corresponds with 6,
Here is also a helpful key for corresponding angles:
Angles 2 and 6 Correspond
Angles 1 and 5 correspond
Angles 3 and 7 correspond
Angles 4 and 8 correspond
They shall be equal
Notes they are the same obtuse angle too!
Vector ID | Problem The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format. Match each term in the equation with the correct description from this list:
r is the position vector, x is the x-position coordinate and y is the y-position coordinate.
The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format:
r = <x, y>
r is the position vector.
x is the x-position coordinate.
y is the y-position coordinate.
So, the correct matching for each term in the equation is:
Term Description
r Position vector
x x-position coordinate
y y-position coordinate
The position vector is a vector that represents the location of a point in space. It is a two-dimensional vector, so it has two components: the x-position coordinate and the y-position coordinate. The x-position coordinate is the distance of the point from the origin along the x-axis, and the y-position coordinate is the distance of the point from the origin along the y-axis.
The equation above shows how to represent a position vector in Cartesian format. The Cartesian format is a way of representing vectors using coordinates. In Cartesian format, a vector is represented as a pair of numbers, where the first number is the x-component and the second number is the y-component.
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Correct Question :
The equation below shows the mathematical representation for a 2D position vector, expressed in Cartesian format. Match each term in the equation with the correct description from this list:
y-position coordinate
x-position coordinate
position vector
Equation : (a) (b) (c)
| | |
r=<x, y>
f(x) = 3x² + 5x – 2-g(x) = 5x³ - 4x² + 4Find (f + g)(x)O A. (f+g)(x) = -5x³ + 7x² + 5x - 6OB. (f+g)(x) = 8x³ + x + 2O C. (f+g)(x) = 5x³+3x²+x+2D. (f+g)(x) = 5x³ - x² + 5x+2
f(x) = 3x² + 5x – 2
g(x) = 5x³ - 4x² + 4
We want to find
(f+g)(x)
We need to add the two functions, making sure to line up the powers of x
f (x) = 3x² + 5x – 2
+g(x) = 5x³ - 4x² + 4
------------------------------
(f+g)(x) = 5x³ - x²+ 5x+2
The answer choice is choice D
D. (f+g)(x) = 5x³ - x² + 5x+2
A researcher found an association between a dog's stride length and its speed: the
longer a dog's steps, the faster it goes. the predicted speed in meters per second (s), as a
function of step length in meters, (m), is s=4m-1.6
what does the rate of change of the function tell you about the association between
stride length and speed?
The rate of change of this function (s = 4m^1.6) tells you how the speed of the dog changes as its stride length changes.
The rate of change of a function tells you how the output of the function changes as the input changes. In this case, the rate of change of the function s = 4m^1.6 with respect to m tells you how the speed changes as the stride length changes.
Since the exponent on the m term is positive (1.6), the rate of change of the function is positive. This means that as the stride length increases, the speed also increases. This is consistent with the association between stride length and speed that the researcher found, which is that dogs with longer stride lengths tend to be faster.
What if the exponent is -1.6?If the function of step length in meters is s = 4m^-1.6. The rate of change of the function tells you that the association between stride length and speed is inverse. As stride length increases, speed decreases at a rate that is determined by the exponent of the function. In this case, the exponent is -1.6, which means that the rate of change is relatively steep, indicating a strong inverse relationship between stride length and speed.
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plz need help with this
Answer:
-4
Step-by-step explanation:
Parallel lines are lines that run across from each other but never intersect. For this to work, they must change at the same rate and have the same slant. This means parallel lines must have equal slopes; therefore, the slope of the parallel line is -4. It is also important to note that parallel lines must have different y-intercepts, or they would just be the same line.
Simplify the following:
a. a+a+a+a+a+a
b. 5x-4x+10x
c. 9t+3t-6t
d. -5j+11j+j
=(a+a+a+a+a+a)
= 6a
b. 5x-4x+10x=(5x+−4x+10x)
= 11x
c. 9t+3t-6t=(9t+3t+−6t)
= 6t
d. -5j+11j+j=(−5j+11j+j)
= 7j
a)= 6a
b)= 11x
c)=6t
d)= 7j
have a great day!How long is 66.9 feet in inches?
One foot is equal to 12 inches. Therefore, to convert feet to inches, you need to multiply the number of feet by 12.
So, the value of 66.9 feet is equal to 802.8 inches.
Feet is measure from the back of your heel to the tip of your longest toe on the floor using a ruler or tape measure.
Inch is the British imperial and American customary systems of measurement both use the inch as their standard unit of length (symbolised as in or ′′). One inch is equal to 1/36 of a yard.
Here we want to convert 66.9 feet in inches.
To convert feet to inches, you can multiply the number of feet by 12.
So to convert 66.9 feet to inches:
66.9 feet x 12 inches/foot
= 802.8 inches
Therefore, 66.9 feet is equal to 802.8 inches.
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Use the graph below to identify the roots of the equation graphed. 3,5 3 -5,3 no solution
please help
The roots of the equation graphed include the following: A. 3, 5.
What is the root or x-intercept of a quadratic function?In Mathematics and Geometry, the x-intercept simply refers to the zeros or roots of any quadratic function and it can be defined as the point where the line of a graph passes through the x-axis (x-coordinate) as shown in the image attached above.
Next, we would write the quadratic function in standard form with a leading coefficient of 1 by using the zeros or x-intercept as follows;
f(x) = (x - (-5))(x - 3)
f(x) = (x + 5)(x - 3)
f(x) = x² + 5x - 3x - 15
f(x) = x² + 2x - 15
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plz help i will mark you brainiest
Answer: We know how much 4 pizza's costs, we want to find out the regular cost of 1 pizza
I'M A GOOFY ______ !!!!!
A. Kid
B.Guy
C.Dude
D.Goober
Answer:
D
Step-by-step explanation:
SPONGEBOB!!
Triangle \triangle ABC△ABCtriangle, A, B, C is translated 999 units to the left and 333 units up to create \triangle A'B'C'△A ′ B ′ C ′ triangle, A, prime, B, prime, C, prime. What is the length of segment \overline{A'B'} A ′ B ′ start overline, A, prime, B, prime, end overline?
Answer:
8
Step-by-step explanation:
Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, rotation, dilation and translation.
Translation is the movement of a point up, down, right or left on the coordinate plane. Rigid transformations are transformations that preserve the length and angle of the object, types are reflection, rotation and translation.
Triangle ABC is translated, since translation is a rigid transformation, the length would still be preserved, hence:
AB = A'B' = 8
Find the length of diagonal AC in the rectangle
at the right
show you’re work plss
Answer:
26
Step-by-step explanation:
Let 10 be a, and 24 be b, and the undefined hypotenuse be c.
\(a^2 + b^2 = c^2\)
\(10^2 + 24^2 = c^2\)
100 + 576 = c
c = 676
\(\sqrt{100} + \sqrt{576} = \sqrt{676}\)
\(10^2 + 24^2 = 26^2\)
c = 26
The value of the undefined line is 26.
Adrienne earns $98 for working 8 hours. If she earned $453.25, How many hours did she work?
Answer:
37 hours
Step-by-step explanation:
First, we will find the amount of money that Adrienne makes per hour: 98/8, which equals $12.25.
Now, we can find the number of hours it takes to earn $453.25 by dividing it by $12.25:
$453.25 / $12.25 = 37 hours
the simplified form of (3/5)⁴ × (5/3)¯⁴
Answer:
0.1296×0.1296 or 0.1296²
Step-by-step explanation:
3/5=0.6
5/3=1.6*
\(0.6^{4}\)=0.1296
\(1.6^{-4}\)=0.1296
Therefore the simplified form is= 0.1296×0.1296 or 0.1296²
*Be careful because 1.6 is an recurring decimal, but I can't write it
-Hope this helps!
PLS MARK ME BRAINLIEST ( pressing the crown button)
please help me
i dont care which questions you answer
wll give brainliest
Answer:
3) 30 dollars
Step-by-step explanation:
y = 15x + 10 for Gerry's Gym. Substitute x with 6. You get 100.
y = 5x + 40 for Frank's Fitness Gym. Substitute x with 6. You get 70.
Subtract 100-70 for 30.
Hope it helps!
Answer:
for the fill in the blank
After THREE months the total cost of each gym will be the same.
At that time both gyms will have charged you a total of 55 dollars.
Step-by-step explanation:
i used a graphing calculator,
Determine whether each pair of expressions is equivalent. Explain your reasoning.
The answer is:
\(\large\textbf{They aren't equivalent.}}\)
In-depth explanation:
To determine the answer to this problem, we will use one of the exponent properties:
\(\sf{x^{-m}=\dfrac{1}{x^m}}\)
And
\(\sf{\dfrac{1}{x^{-m}}=x^m}\)
Now we apply this to the problem.
What is 4⁻³ equal to? Well according to the property, it's equal to:
\(\sf{4^{-3}=\dfrac{1}{4^3}}\)
And this question asks us if 4⁻³ is the same as 1/4⁻3.
Well according to the calculations performed above, they're not equivalent.
LOGIC, Use the model universe method to show the following invalid.
(x) (AxBx) (3x)Ax :: (x) (Ax v Bx)
The conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
To show that the argument is invalid using the model universe method, we need to find a counterexample where the premises are true, but the conclusion is false.
Let's consider the following interpretation:
Domain of discourse: {1, 2}
A(x): x is even
B(x): x is odd
Under this interpretation, the premises "(x)(A(x) ∧ B(x))" and "(∃x)A(x)" are true because all elements in the domain satisfy A(x) ∧ B(x), and there exists at least one element (e.g., 2) that satisfies A(x).
However, the conclusion "(x)(A(x) ∨ B(x))" is false since there exist elements (e.g., 1) that satisfy B(x) but not A(x).
In this counterexample, the premises are true, but the conclusion is false, demonstrating that the argument is invalid using the model universe method.
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In 2000, the average cost for college tuition in the United States was about $14,000. In 2010, the cost was about $18,000. Write a linear model that represents the cost if tuition as a function of the number of years since 2000
The linear model that represents the cost of tuition as a function of the number of years since 2000 is y = 400x + 14000
To write a linear model that represents the cost of tuition as a function of the number of years since 2000, we can use the slope-intercept form of a linear equation:
y = mx + b
where y is the cost of tuition, x is the number of years since 2000, m is the slope of the line, and b is the y-intercept (the cost of tuition in the year 2000).
We can use the two data points we have to find the slope of the line:
Slope = (Change in y) / (Change in x)
Slope = (18000 - 14000) / (2010 - 2000) = 4000 / 10 = 400
So the slope of the line is 400, meaning that for every year since 2000, the cost of tuition has increased by $400.
Now we can plug in the slope and the y-intercept to get the equation:
y = 400x + 14000
where x is the number of years since 2000, and y is the cost of tuition in that year.
For example, in the year 2023 (23 years since 2000), the cost of tuition can be estimated as:
y = 400(23) + 14000 = $22,200
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For a given et of rectangle, the length varie inverely with the width. In one of thee rectangle, the length i 5 and the width i 4. For thi et of rectangle, calculate the width of a rectangle whoe length i 10
The width of the rectangle is 2 units when length of the rectangle is 10 units.
As per the given data:
The length of a rectangle varies inversely with its width.
The length of the rectangle is 5 units when its width is 4 units
The length of the rectangle when its width is 10 units
Here we have to determine the width of a rectangle.
Let l be the length and w be the width of the rectangle.
Now, from the given direction, we have
\($l=\frac{k}{w}\)
Substitute l = 5 units, w = 4 units, to find the constant k
5 = \($\frac{k}{4}\)
k = 20 units
Now, we have to find the width of the rectangle when l = 10 units
10 = \($\frac{20}{w}\)
w = \($\frac{20}{10}\)
w = 2 units.
Therefore the width of the rectangle is 2 units.
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The length of a rectangle varies inversely with its width. if the length of the rectangle is 5 units when its width is 4 units , find the width of the rectangle when its length is 10 units?
ughhhhhhh help again please!!!
Answer:
90 degrees
Step-by-step explanation:
Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.
in a simple regression analysis, the response variable y is typically the business outcome which we wish to understand better. true false question. true false
False. In a simple regression analysis, the response variable y does not necessarily have to be the business outcome that we wish to understand better.
In regression analysis, the response variable (dependent variable) represents the outcome or variable of interest that we want to explain or predict. It is the variable that we seek to model or understand based on the values of one or more predictor variables (independent variables).
While the response variable in a regression analysis can indeed be a business outcome, such as sales revenue or customer satisfaction, it can also be any other measurable variable that we want to study or analyze, such as temperature, time, or test scores. The choice of the response variable depends on the research question and objectives of the analysis.
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Can someone give me the answer with the steps and if there’s a solution or not? thanks!!
Can someone please help me?
Answer:
24
Step-by-step explanation:
area = wl (6×4 = 24)
w width l length
If x= 5 and y = 2, work out the value of a) 3x + y
b) 2x2
c) (x - y)2
Answer:
17, 50, 9
Step-by-step explanation:
Hello
We already know the values of x and y, 5 and 2.
All we have to do to figure out a, b, and c, is to plug in those known values.
a) 3x + y
Let's plug in x and y as 5 and 2
3(5) + 2
15 + 2
17
b) 2x^2
2(5)^2
2(25)
50
c) (x - y)^2
(5 - 2)^2
3^2
9
Answer:
A) 3(5)+2= 17
B) 2(5)2= 50
C) (5-2)2= 9
Step-by-step explanation:
I need help with this
Eric, Aaron and Corrine invested in a partnership in the ration 1:4:7 respectively. Years later, when the partnership was worth $1.6 million, Aaron decides to go to graduate school and sell his part of the partnership to Eric. A) How much (dollar value) does each partner have? Remember that money rounds to the nearest penny, or hundredths!