Find the transition matrix from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 ?
Answers
The transition matrix from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is P = [(1, 2); (0, 1)].
Given that a transition matrix is to be found from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2. Therefore, let T be the transformation that maps [(*);()] of R2 to the ordered basis [(12):() of R2.
The transformation matrix T can be represented in the form shown below; T([*];[]) = (1, 0) // the first column of T T([ ]; []) = (2, 1) // the second column of TWhere T([*]; []) represents the transformation of the ordered basis [(*);()] of R2, T([ ]; []) represents the transformation of the ordered basis [(12):() of R2.
It is known that for a transformation matrix T, the transformation can be represented as a matrix-vector multiplication, and that to calculate the transformation matrix of a given basis, we can write the matrix in column form, where each column represents the transformation of a basis vector.
Using the above transformation matrix T, the transition matrix P from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is obtained by arranging the columns of the transformation matrix T in the order of the new basis. P = [(1, 2); (0, 1)] // the transition matrix from [(*);()] to [(12);()] of R2
The transformation matrix T can also be written in a standard matrix form using the basis vectors of R2 in column form, as shown below. T = [(1, 2); (0, 1)] * [(1, 0); (*, 1)] // the transformation matrix using standard basis vectors
Therefore, the transition matrix from the ordered basis [(*);()] of R2 to the ordered basis [(12):() of R2 is P = [(1, 2); (0, 1)].
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Related Questions
Evaluate the expression
Answers
Answer:
16
Step-by-step explanation:
Step 1. Plug the numbers into the equation.
Step 2. Solve using PEMDAS
2 ( 6 + 3 ) - 2
2 ( 9 ) - 2
18 - 2
16
2(6+3)-2=
12+6-2=
18-2=
Pls answer will give brainliest
Answers
Answer:
Option B is the correct answer
Step-by-step explanation:
\( \frac{7}{15} = 0.46666666... \\ \\ \frac{7}{15} = 0.4 \overline{6}\)
Which of the following describes the effect of an increase in the variance of the difference scores in a repeated-measures design?
A. There is little or no effect on measures of effect size, but the likelihood of rejecting the null hypothesis increases.
B. There is little or no effect on measures of effect size, but the likelihood of rejecting the null hypothesis decreases.
C. Measures of effect size and the likelihood of rejecting the null hypothesis both decrease.
D. Measures of effect size increase, but the likelihood of rejecting the null hypothesis decreases.
Answers
The correct answer is A: There is little or no effect on measures of effect size, but the likelihood of rejecting the null hypothesis increases. An increase in the variance of the difference scores means that the differences between the two measurements are more spread out.
This can make it harder to detect a significant difference between the two conditions in a repeated-measures design. However, it also means that the likelihood of rejecting the null hypothesis (the probability that the results are due to chance) increases because there is more variability in the data.
Measures of effect size, which indicate the strength of the relationship between the independent and dependent variables, are not affected by an increase in variance. Therefore, option A is the correct answer.
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I NEED HELP ASAP WILL GIVE BRAINLYEST
Answers
Answer:
its c brodie
Step-by-step explanation:
it is
Answer:
I'm not 100% positive, but I think it's C (the third one)
Step-by-step explanation:
I'm sorry if it's wrong!
62 60 ÷ 4 = x 4 = x 4 So 60 ÷ 4 =
Answers
The answer is 15.
From the question, we have
60 ÷ 4 = 15
The answer is 15.
Divide:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groups. When dividing numbers, we divide a larger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers. One of the four fundamental mathematical operations, along with addition, subtraction, and multiplication, is division. Division is the process of dividing a larger group into smaller groups so that each group contains an equal number of things. It is a mathematical operation used for equal distribution and equal grouping.
Complete question:
Solve: 60 ÷ 4
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Plz help me with this question
Answers
Answer:
122
Step-by-step explanation:
\(x^6+y^2\)
Plug in 1 for x and 11 for y
\(=1^6+11^2\)
1 to the power of any number will always equal 1
\(=1+11^2\\=1+121\\=122\)
I hope this helps!
A piece of wood, 7.2 m long, is to be cut into smaller pieces. EACH of these pieces should be 0.12 m in length. How many smaller pieces can be obtained?
Answers
Answer:
To find the number of smaller pieces that can be obtained, we need to divide the total length of the wood by the length of each smaller piece:
Number of pieces = Total length ÷ Length of each piece
Number of pieces = 7.2 m ÷ 0.12 m
Number of pieces = 60
Therefore, 60 smaller pieces can be obtained from the 7.2 m long piece of wood.
Answer:
60
Step-by-step explanation:
To determine how many smaller pieces can be obtained from a 7.2 m long piece of wood, we need to divide the total length of the wood by the length of each smaller piece.
Total length of wood = 7.2 m
Length of each smaller piece = 0.12 m
Number of smaller pieces = Total length of wood / Length of each smaller piece
Number of smaller pieces = 7.2 m / 0.12 m
Number of smaller pieces = 60
Therefore, 60 smaller pieces can be obtained from a 7.2 m long piece of wood, with each smaller piece being 0.12 m in length.
Complete the table of values for f(x) = -3|x+1|-4 using the table of values for g(x) = |x|
Answers
f(x)>=-7
Functions:
Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable). Functions are ubiquitous in mathematics.
If a variable y is so related to a variable x that whenever a numerical value is assigned to x, there is a rule according to which a unique value of f(x)is determined, then f(x) is said to be a function of the independent variable x
Given :
f(x) = -3|x+1|-4
using the table of values for g(x) = |x|
Solution :
f(x) = -3|x+1|-4
f(x) = -3|g(x)+1|-4
f(x) = -3||x|+1|-4
which means |x| is always positive |x|>0
f(x) = -3||x|+1|-4
f(x) = -3x-3-4
f(x) = -3x-7
f(x)>=-7
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I need help on this question it’s 5(n)=??
Answers
Answer:
i think its 120
sorry if it might be incorrect
????
Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted of 150 shortbread cookies. Mrs. Nicholas saved the same fraction of cookies from each batch. If Mrs. Nicholas saved 20 more shortbread cookies than gingerbread cookies, what fraction of the cookies did she save?
Answers
Mrs. Nicholas baked two batches of cookies. The first batch consisted of 120 gingerbread cookies and the second batch consisted of 150 shortbread cookies. Mrs. Nicholas saved the same fraction of cookies from each batch. If Mrs. Nicholas saved 20 more shortbread cookies than gingerbread cookies then,
Here, given data as the first batch was 120 gingerbread cookies and the second batch consist of 150 shortbread cookies.
And, the same fractions of cookies from each batch were saved.
Let x parts of each of cookies were saved.
Then, the number of the saved gingerbread cookies = 120 x
While, the number of the saved shortbread cookies = 150 x
And, Again according to the question, the number of the saved shortbread cookies is 20 more than the number of the saved shortbread cookies.
That is equal to 150 x - 120 x = 20
⇒ 30 x = 20
⇒ x = 2/3
Hence the answer is, Mrs. Nicholas saved 2/3 part of each cookies.
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Please Answer Please
Answers
Answer:
The court for 10 and under is 18 feet shorter so the area of this court is ( 78 − 18 ) × 27 = 1620 (78-18)\times27=1620 (78−18)×27=1620 square feet. Therefore, the area of this court is 2106 − 1620 = 486 2106-1620=486 2106−1620=486 square feet less than that of the regular court.
BRAINLIST!!!!!!!!!!!!!
FIND THE AREA OF THE COMPOSITE FIGURE
Answers
compare the graphs of y=2^2 and y=6^x
Answers
The graph of y = 6^x will be steeper and grow faster compared to the graph of y = 2^x. The exponential growth rate of y = 6^x will surpass that of y = 2^x as x increases.
The two equations, y = 2^x and y = 6^x, represent exponential functions, but with different base values.
For y = 2^x, the base is 2. This means that as x increases, the y-values will grow exponentially, but at a slower rate compared to y = 6^x. The graph of y = 2^x will start from the point (0,1) and steadily increase, becoming steeper as x increases.
On the other hand, for y = 6^x, the base is 6. This implies that the y-values will grow much faster compared to y = 2^x. The graph of y = 6^x will also start from the point (0,1) and increase rapidly as x increases, becoming steeper than the graph of y = 2^x.
In summary, the graph of y = 6^x will be steeper and grow faster compared to the graph of y = 2^x. The exponential growth rate of y = 6^x will surpass that of y = 2^x as x increases.
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In a study of the factors that affect success in a calculus course, data were collected for randomly selected persons. Scores on the algebra placement test were used, along with calculus achievement scores. With calculus score as your dependent variable, whal is the variation in y that has been explained by the model? SUMMARY OUTPUT Regression Statistics Multiple R 0.18919025 R Square 0.03579295 Adjusted R -0.2856094 Square Standard 5.40216006 Error Observations ANOVA df Regression Residual Total MSF Significance F 3.25 3.25 0.11136493 0.7605603 87.55 29.1833333 90.8 Coefficients Error Coefficients Standard tStat St P-value Lower 95% Upper 95% Lower 95.0% Upper 95.0% Intercept 62.8 12.2273653 5.13602061 0.01429823 23.8870666 101.712933 23.8870666 101.712933 Algebra Score 0.25 0.74914481 0.33371385 0.7605603 -2.1341131 2.63411314 -2.1341131 2.63411314 a about 4% of the variation in y has been explained by the model b. the p-value is >0.05, the model is rejected about 19% of the variation in y has been explained by the model d. cannot be determined with the information provided
Answers
The correct answer is:
(a) about 4% of the variation in y has been explained by the model.
How much variation is explained?The answer is (a) about 4% of the variation in y has been explained by the model.
The coefficient of determination (R-squared) is given as 0.03579295, which represents the proportion of the total variation in the dependent variable (calculus achievement scores) that is explained by the independent variable (algebra placement test scores) in the model.
Since R-squared is the square of the correlation coefficient (multiple R), we can also interpret the value of multiple R as the correlation between the two variables. In this case, multiple R is given as 0.18919025, indicating a weak positive correlation between the two variables.
The adjusted R-squared is negative (-0.2856094), which suggests that the model is not a good fit for the data. However, the question specifically asks for the proportion of variation in the dependent variable that is explained by the model, which is represented by R-squared. Therefore, the answer is (a) about 4% of the variation in y has been explained by the model.
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6. A glider descends 240 meters in 12 seconds. What is the average change in
elevation per second?
Answers
Answer:
20 meters per second
Step-by-step explanation:
240/12
Answer: The average change in elevation per second is -20 meters.
Step-by-step explanation: If a glider descends 240 meters in 12 seconds, then it descends 20 meters in one second. However, because the glider is descending, then the value and slope of change must be negative.
A baseball team had $250 to spend on supplies. The team spent $46.25 on a new bat. New baseballs cost $2 each. The inequality46.25+2b≤250 can be used to determine the number of new baseballs, b, that the team can purchase.
Answers
Answer: 101
\(\leq 46,25+2b\leq 250\\\\=> 2b\leq 250-46,25=203,75\\\\<=> b\leq 203,75/2=101,876\)
but b is the number of new baseballs
=> \(b\leq 101\)
=> the team can purchase 101 baseballs
Step-by-step explanation:
Ms. Perez is giving her class a pizza party because every student completed the school-wide book reading challenge. If an extra-large pizza costs $15 and serves 8 people, how much should Ms. Perez expect to pay for pizza if her class has 28 students? Enter just a value, do not enter an expression or an extra dollar sign.
Answers
28/8=3.5
rounding that up, she would need 4 pizzas
4•15=60
Soybean meal is 18% protein. How many pounds each should be mixed together in order to get 360-lb mixture that is 17% protein?
Answers
Answer:
The answer is 40 and I calculated it, it’s true
Step-by-step explanation:
I promise
Convert the following unsigned binary numbers to decimal.
00110012
0100110102
Convert the following decimal numbers to unsigned binary
100010
11710
Convert the numbers from Q2 to hexadecimal
Answers
The conversion of the numbers from Q2 to hexadecimal is as follows: 011001102 = 66 and 011101012 = 75
1. Conversion of unsigned binary numbers to decimal
00110012 = 1 × 2³ + 1 × 2² + 0 × 2¹ + 0 × 2º= 8 + 4 + 0 + 0= 1210
Hence, 00110012 in binary is equal to 12 in decimal.
0100110102 = 1 × 2⁷ + 0 × 2⁶ + 0 × 2⁵ + 1 × 2⁴ + 1 × 2³ + 0 × 2² + 1 × 2¹ + 0 × 2º= 128 + 16 + 8 + 2= 15410
Hence, 0100110102 in binary is equal to 154 in decimal.
2. Conversion of decimal numbers to unsigned binary10001010 = 64 + 32 + 2= 011001102
Hence, 100010 in decimal is equal to 011001102 in unsigned binary.
11710 = 64 + 32 + 16 + 4 + 1= 011101012
Hence, 117 in decimal is equal to 011101012 in unsigned binary.
3. Conversion of decimal numbers to hexadecimal
011001102 = 0110 0110 0100 (Splitting into groups of four) = 66
Hence, 011001102 in binary is equal to 66 in hexadecimal.
011101012 = 0111 0101 (Splitting into groups of four) = 7510
Hence, 011101012 in binary is equal to 75 in hexadecimal.
Answer: The conversion of the given unsigned binary numbers to decimal is as follows:
00110012 = 12 and 0100110102 = 154.
The conversion of the given decimal numbers to unsigned binary is as follows:
10001010 = 011001102 and 11710 = 011101012.
The conversion of the numbers from Q2 to hexadecimal is as follows:
011001102 = 66 and 011101012 = 75.
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Need help with this. Find the value of each variable.
Answers
Answer:
Step-by-step explanation:
By applying sine rule in ΔACD,
cos(30°) = \(\frac{\text{Adjacent side}}{\text{Hypotenuse}}\)
cos(30°) = \(\frac{CD}{AD}\)
\(\frac{\sqrt{3} }{2}=\frac{z}{24}\)
z = \(8\sqrt{3}\)
By applying cosine rule in ΔACD,
sin(30°) = \(\frac{\text{Opposite side}}{\text{Hypotenuse}}\)
sin(30°) = \(\frac{AC}{CD}\)
\(\frac{1}{2}=\frac{AC}{24}\)
AC = 12
By applying tangent rule in ΔACB,
tan(45°) = \(\frac{\text{Opposite side}}{\text{Adjacent side}}\)
1 = \(\frac{AC}{BC}\)
y = 12
By applying sine rule in ΔACB,
sin(45°) = \(\frac{BC}{AB}\)
\(\frac{1}{\sqrt{2}}=\frac{y}{x}\)
x = y(√2)
x = 12√2
A cone has a radius of 5. 1 inches and a height of 5 inches. What is the volume of the cone? Use 3. 14 for pi. Round to the nearest tenth. 25. 0 inÂł 75. 0 inÂł 125. 4 inÂł 136. 1 inÂł.
Answers
The correct option is D. 136.1 cubic inches.
Given, Radius of cone is 5.1 inches.
Height of cone is 5 inches.
We know that, volume of cone,
\(V=\frac{1}{3} \pi r^{2} h\)
Here r is the radius of cone and h is its height.
on putting the value of r and h, we get
\(V=\frac{1}{3} \times3.14\times(5.1)^{2} \times5\)
\(V=\frac{1}{3} \times3.14\times26.01\times5\)
Or, \(V=136.119 \ cubic \ inches\).
The volume of cone to the nearest tenth is 136.1 cubic inches.
Hence the correct option is D. 136.1 cubic inches.
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You need to build a model that predicts the volume of sales (Y) as a function of advertising (X). You believe that sales increase as advertising increase, but at a decreasing rate. Which of the following would be the general form of such model? (note: X^2 means X Square)
A. Y ^ = b0 + b1 X1 + b2 X2^2
B. Y ^ = b0 + b1 X + b2 X / X^2
C. Y ^ = b0 + b1 X + b2 X^2
D. Y ^ = b0 + b1 X
E. Y ^ = b0 + b1 X1 + b2 X2
Answers
The general form of such a model that predicts the volume of sales (Y) as a function of advertising (X) in which sales increase as advertising increases, but at a decreasing rate is given by Y^ = b0 + b1X + b2X². Option C.
The general form of the model that fits the description of the sales model that is given in the problem is C. Y^ = b0 + b1X + b2X². Where Y^ represents the predicted or estimated value of Y. b0, b1, and b2 are the coefficients of the model, and they represent the intercept, the slope, and the curvature of the relationship between X and Y, respectively.
In this model, the variable X has a quadratic relationship with the variable Y because of the presence of the squared term X². This indicates that the effect of X on Y is not linear but curvilinear, which means that the effect of X on Y changes as X increases. Specifically, the effect of X on Y increases initially but then levels off or diminishes as X becomes larger. Answer option C.
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suppose there are 40 multiple choice questions. each question has four possible answers, and only one of them is correct. if a student attempts to answer every question at random, what is the probability that exactly one fourth of the questions will be answered correctly
Answers
The probability that exactly one fourth of the questions will be answered correctly is approximately 0.00166.
Given,
Number of multiple choice questions = 40
Each question has four possible answers, and only one of them is correct.
Thus, Probability of getting a question correct = 1/4.
Probability of getting a question incorrect = 1 - 1/4 = 3/4
Let X be the number of questions answered correctly by the student.
Since there are 40 questions in total,
X can take any value between 0 and 40, inclusive.
To find the probability that exactly one fourth of the questions will be answered correctly, we need to calculate the probability that X = 10.
Using the binomial distribution formula,
The probability of answering exactly k questions correctly out of n total questions is given by :
P(X = k) = nCk x pk x (1-p)n-k
where, nCk is the number of ways to choose k questions from n total questions,
p is the probability of answering a question correctly, and
1-p is the probability of answering a question incorrectly.
So, the probability of answering exactly 10 questions correctly is :
P(X = 10) = 40C10 x (1/4)10 x (3/4)30P(X = 10) ≈ 0.00166.
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For a group trip, a travel agency charges $300 per person. Write an expression to show the cost of a group trip for p people.
Answers
Answer:
c = 300p
Step-by-step explanation:
What we know:
For a group trip, a travel agency charges $300 per person.
How equations work are:
dv = k(iv)
The cost of the trip is the dependent variable, so that's on the left side of the equation. (I've represented that with c)
c = k(iv)
The independent variable is people, so that's on the right side. (represent with p)
c = kp
Our constant (k) is 300.
c = 300p is the full equation.
Answer:
Nice c
Step-by-step explanation:
A jet travels 490 miles in 5 hours. At this rate, how far could the jet fly in 12 hours? What is the rate of speed of the jet?
Answers
Answer: 1,176 miles
Step-by-step explanation:
490 / 5 = 98 miles
98 mph X 12 hours is 1,176
HELLPPPPPPP BRAINLIEST
What is the constant term in the expression 4x3y + 8x2 + 6x + 5? (Input a numeric value only.) (3 points)
Answers
Answer:
the answer is 5
Step-by-step explanation:
Write the statement "the sum of a number and 18.4 is at least −3.8" as an inequality.
−3.8 + b > 18.4
b + 18.4 ≥ −3.8
b + 18.4 ≤ −3.8
−3.8 + b < 18.4
Answers
Hence, he sum of a number and \(18.4\) is at least \(-3.8\) as an inequality is \((b+18.4)\geq -3.8\).
What is the inequality?
An inequality is said to be sharp if it cannot be relaxed and still be valid in general.
Here given that,
The sum of a number and \(18.4\) is at least \(-3.8\) as an inequality.
Let \(b\) be the number
As it is mentioned that the sum of \(x\) and \(18.4\) is at least \(-3.8\).
Hence, the sum is greater or equal to \(-3.8\)
i.e., \((b+18.4)\geq -3.8\)
Hence, he sum of a number and \(18.4\) is at least \(-3.8\) as an inequality is \((b+18.4)\geq -3.8\).
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A cinema has 3 screens
Answers
Answer:
screen 1 =200
screen 2 =125
screen 3 =175
Step-by-step explanation:
screen 1 40% of 500 =200
screen 2 25% of 500 =125
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
screen 1 =200
screen 1 40% of 500 =200
screen 2 =125
screen 2 25% of 500 =125
screen 3 =175
screen 3 100%-(40%+25%)
100%-65%
35%
35% of 500 =175
Hope this helps!!^^
What is the slope? (4,3) (-2,-4) *
Answers
Using slope formula
m = (y2 -- y1) / (x2 -- x1)
m= slope
Plug in values, for x1 if you use 4 you must then for x2 use -2 but if you use -2 for x1 you must use 4 for x1, simply, if you go left to right, you cant go right to left on the next one.
m = (3 --4) / (4 --2)
m= 7 / 6
The area of a rectangle is 8w + 18 square feet. The length of the rectangle is 2 feet. Use factoring to write an expression to represent the width of the rectangle.
Answers
Answer:
The expression that represents the width of the rectangle is 4w + 9
Step-by-step explanation:
The formula of the area of the rectangle is A= length x width
The area of a rectangle is 8w+18 square feet.
A= 8w+18
The HCF of 8 and 18 is 2
Divide each term of the area by 2 to get 2 as a common factor
8 /2 =4 and 18 /2 = 9
A=2(4w+9)
The length of the rectangle is 2 feet
Substitute it in the formula of the area above
A=2 x width
A=2 width
Equate the two right sides of the area
2 width =2(4w+9)
Divide both sides by 2
The width = 4w+9