Drag each tile to the correct box.
Arrange the matrices in increasing order of their determinant values.
Answers
Answer:
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Step-by-step explanation:
Given - The matrices are -
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
To find - Arrange the matrices in increasing order of their determinant values.
Proof -
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] is
= (2)(4) - (6)(3)
= 8 - 18
= -10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex] = -10
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] is
= (-2)(9) - (-7)(5)
= -18 + 35
= 17
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex] = 17
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] is
= (6)(-8) - (6)(5)
= -48 - 30
= -78
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex] = -78
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] is
= (2)(-5) - (4)(5)
= -10 - 20
= -30
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex] = -30
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] is
= (2)(4) - (5)(-2)
= 8 + 10
= 18
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex] = 18
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] is
= (4)(2) - (-3)(5)
= 8 + 15
= 23
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex] = 23
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] is
= (3)(6) - (2)(4)
= 18 - 8
= 10
So,
Determinant of matrix [tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex] = 10
Now,
Increasing order of Determinant is -
-78 < -30 < -10 < 10 < 17 < 18 < 23
So,
Order of the Matrix will be
[tex]\left[\begin{array}{ccc}6&6\\5&-8\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&4\\5&-5\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&6\\3&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}3&2\\4&6\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}-2&-7\\5&9\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}2&5\\-2&4\\\end{array}\right][/tex]
↓
[tex]\left[\begin{array}{ccc}4&-3\\5&2\\\end{array}\right][/tex]
Answer:
Correct on Edmentum
Step-by-step explanation:
Related Questions
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Answer:
The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.The final outcome impact of the Civil War was that the North had won the war and slavery was abolished. The impact of the Civil War was the evolution of new war weapons and changes in the economy and the way people lived.
Step-by-step explanation:
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Answers
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Complete the missing parts of the table for the following function. y=7x
Answers
Answers: 49, 1, 49
Those values go in the blanks from left to right
=====================================================
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The rule we use is x^(-k) = 1/(x^k)
That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.
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Re-write the quadratic function below in Standard Form
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Answers
Hope this help y’all and y’all welcome
PLEASE HELP ME I BEG I WILL GIVE BRAINLIEST
Researchers fed mice a specific amount of Aldrin, a poisonous pesticide, and studied their nervous systems to find out why Aldrin causes convulsions. The absolute refractory period, time required for nerves to recover after a stimulus, was measured and varies Normally. The measurements, in milliseconds, for five mice were 2.1, 2.3, 2.3, 2.4, and 2.5.
Part A: Find the mean refractory period and the standard error of the mean. (2 points)
Part B: Calculate a 95% confidence interval for the mean absolute refractory period for all mice when subjected to the same treatment. (4 points)
Part C: Suppose the mean absolute refractory period for unpoisoned mice is known to be 2.1 milliseconds. Aldrin poisoning should slow nerve recovery and therefore increase this period. Do the data give good evidence to support this theory? What can you conclude from a hypothesis test? Justify your response with statistical reasoning. (4 points)
Answers
Answer:
Mean = (2.2 + 2.4 + 2.5 + 2.5 + 2.6 + 2.7)/6 = 2.48
Standard deviation = √(summation(x - mean)²/n
n = 6
Summation(x - mean)² = (2.2 - 2.48)^2 + (2.4 - 2.48)^2 + (2.5 - 2.48)^2 + (2.5 - 2.48)^2 + (2.6 - 2.48)^2 + (2.7 - 2.48)^2 = 0.1484
Standard deviation = √(0.1484/6
s = 0.16
Standard error = s/√n = 0.16/√6 = 0.065
Part B
Confidence interval is written as sample mean ± margin of error
Margin of error = z × s/√n
Since sample size is small and population standard deviation is unknown, z for 98% confidence level would be the t score from the student t distribution table. Degree of freedom = n - 1 = 6 - 1 = 5
Therefore, z = 3.365
Margin of error = 3.365 × 0.16/√6 = 0.22
Confidence interval is 2.48 ± 0.22
Part C
We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean
For the null hypothesis,
H0: µ = 2.3
For the alternative hypothesis,
H1: µ > 2.3
This is a right tailed test
Since the number of samples is small and no population standard deviation is given, the distribution is a student's t.
Since n = 6
Degrees of freedom, df = n - 1 = 6 - 1 = 5
t = (x - µ)/(s/√n)
Where
x = sample mean = 2.48
µ = population mean = 2.3
s = samples standard deviation = 0.16
t = (2.48 - 2.3)/(0.16/√6) = 2.76
We would determine the p value using the t test calculator. It becomes
p = 0.02
Assuming significance level, alpha = 0.05.
Since alpha, 0.05 > than the p value, 0.02, then we would reject the null hypothesis. Therefore, At a 5% level of significance, the sample data showed significant evidence that the mean absolute refractory period for all mice when subjected to the same treatment increased.
Step-by-step explanation:
Please help me and show working. I have a test very soon.
Answers
Answer:
c = 3
Step-by-step explanation:
Given
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{c^2-4}[/tex] ← factor the difference of squares
[tex]\frac{2}{c-2}[/tex] - [tex]\frac{3}{c+2}[/tex] = [tex]\frac{7}{(c-2)(c+2)}[/tex]
Multiply through by (c - 2)(c + 2) to clear the fractions
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2c + 4 - 3c + 6 = 7
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Answers
Answer:
50%
Step-by-step explanation:
because it is a two side coin
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Answers
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Answers
Answer:
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Answers
Answer:
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Step-by-step explanation:
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Answers
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Tyler and Bethany have 240 feet of fencing with which to build a garden. Tyler wants the garden to be in the shape of a square, while Bethany wants it to be rectangular with a length of 50 feet and a width of 70 feet. Which design would give the maximum area for the garden? Explain.
Bethany’s design would give the larger garden because the area would be 3,500 ft2.
Tyler’s design would give the larger garden because the area would be 3,600 ft2.
Bethany’s and Tyler’s designs would give a garden with the same area.
Bethany’s and Tyler’s designs are not possible with the given amount of fencing.
Answers
Answer:
Step-by-step explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
A is wrong. A square maximizes the area.
B is correct.
C The areas are not the same. C is wrong.
D is wrong. Both fence proposals work.
Answer:
B is correct
Explanation:
Tyler's square is going to be 60 feet on each side. That is 3600 square feet.
Bethany can build a rectangle to her shape. It will be 240 feet of fencing. But it will give only 3500 square feet.
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Answers
Answer: x^2 (the ^ represents that the next number is an exponent)
Step-by-step explanation:
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Answers
Answer:
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Step-by-step explanation:
I 1) James ran 1.8 miles, Kyle ran 1 miles, and Frank ran 1.85 miles. Put the boys in order from the
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2
6
5
1 2) Write an algebraic expression for the phrase "19 less than x squared."
4
3
2
-2
3) When Michael woke up in the morning, the temperature was - 3. F. Later that day
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Answers
Answer:
lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb
Step-by-step explanation:
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Identify the solution to the system of equations.
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1
What is the solution to the equation 4
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Answers
Answer:
im sorry
Step-by-step explanation:
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Answer:
Look at the image.
Step-by-step explanation:
(36 ÷ 4) - (36 ÷ 9)
9 - 4
5
(8 × 3) - 12 = 12
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12
Find the rate of change from the table.
Answers
==================================================
We're asked to find the slope:
m = slope
m = (y2-y1)/(x2-x1)
m = (50-20)/(4-2)
m = 30/2
m = 15
The rate of change is 15. Each time x goes up by 1, y increases by 15.
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Which polynomial represents (3x2 + x - 4)(2x - 5)?
A.6x3 + 13x2 + 3x - 20
B.6x3 - 13x2 - 13x + 20
C.6x3 + 13x2 + 3x + 20
D6x3 - 13x2 - 13x - 20
Answers
The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
What is a polynomial function?A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.
here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]
Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.
Learn more about polynomial functions here:
https://brainly.com/question/12976257
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Answers
An equation can be compared to a balanced hanger. We can change the equation, but for a true equation to remain true, the same thing must be done to both sides of the equal sign.
The equation y = (-16t – 2)(t-1) represents the height in feet of a beach ball thrown by a child as a function of time, `t`, in seconds.
from What height is the beach ball thrown? explain or show your reasoning
Answers
2 ft
Step-by-step explanation:
The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get
y = [-16(0) - 2](0 - 1)
= (-2)(-1)
= 2 ft
Therefore, the ball was thrown from a height of 2 ft.
A rectangle is placed around a semicircle as shown below. The length of the rectangle is 14 m . Find the area of the shaded region. Use the value 3.14 for , and do not round your answer. Be sure to include the correct unit in your answer.
Answers
Answer:
21.07 m²
Step-by-step explanation:
Please find the complete question in the attached image
Area of shaded region = area of rectangle - area of semicircle
Area of semicircle = [tex]\frac{1}{2}[/tex]πr²
π = 3.14
r = radius = 14/2 = 7m
the diameter of the semicircle is 14m , thus the radius would be half of the diameter
(1/2) x 3.14 x 7² = 76.93 m^
Area of a rectangle = length x width
width = radius of semicircle = 7
14 x 7 = 98 m²
Area of shaded region = 98 m² - 76.93 m^ = 21.07 m²
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this worth 100 POINTS!!
Answers
Answer:
I think the second answer
Step-by-step explanation:
I'm late but it's the second answer!
What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
Answers
Answer:
-0.5
Step-by-step explanation:
(3-2)=1
(-4-1)=-5
1÷(-5)= -0.5
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Answer:
P(-8,6), Q(-5,2), R(2,1)
Consider the equation:
X^2-6 = 2 – 18x
1) Rewrite the equation by completing the square
2) What are the solutions to the equation?
Answers
The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².
The solutions to the equation is x = -9 + √89 or x = -9 - √89.
What is a quadratic equation?In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 6 = 2 - 18x
x² + 18x = 8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² + 18x + (18/2)² = 8 + (18/2)²
x² + 18x + 81 = 8 + 81
Part 2.
x² + 18x + 81 = 89
x² + 9x + 9x + 81 = 89
x(x + 9) + 9(x + 9) = 89
(x + 9)(x + 9) = 89
x = -9 + √89 or x = -9 - √89.
Read more on quadratic functions here: brainly.com/question/14201243
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Someone please help I’ll give brainliest!!!!
Answers
Answer:
move the line up one
Step-by-step explanation:
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Answers
Answer:
you would have to add them together
Step-by-step explanation:
you add 9pi cm^2 to 1/4
hop this helps kid
Answer:
The radius is 199.85 cm^3