Answer:
-2/-6 = 1/3 = 3
Step-by-step explanation:
The solid triangle has the points A(-6,0) B(6,5) and C(6,-6).
The dashed triangle has the points A1(-2,0) B1(2,1) and C1(2,-2)
The dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.
Recall:
Dilation reduces or enlarges a figure/shapeThe image of a dilation is the original image before reduction or enlargement occurred.The scale copy is the new image formed after reduction or enlargement as the case may be.Scale factor = any side length of the new image / corresponding side length of the old imageIf the scale factor is a fraction, the dilation it's a reduction. If the scale factor is a whole number, the dilation is an enlargement.Thus:
Find the distance between the points (2, -2) and (0, -2) for the dashed triangle.
Distance between (2, -2) and (0, -2) = 2 unitsFind the corresponding distance for the solid triangle using points (6, -6) and (0, -6):
Distance between (6, -6) and (0, -6) = 6 unitsScale factor = \(\mathbf{\frac{6}{2} = 3}\)
The scale factor is a whole number, so, the dilation is an enlargement.
In summary, the dilation of the dashed triangle is an enlargement because the scale factor is a whole number which is: 3.
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Last week Shawna ran 25 miles less than
Elisa. Shawna ran 9 miles. How many
miles did Elisa run?
2b
Answer:
34 miles
Step-by-step explanation:
You just need to add her 9 then the extra 25 miles to find the starting set of miles
Answer:
Elisa ran 34 miles
Step-by-step explanation:
Shawna ran 9 miles which is 25 less than Elisa
Elisa ran 25 miles more than Shawna
equation:
9 = x - 25
add 25 on both sides:
9 + 25 = x - 25 + 25
34 = x
Elisa ran 34 miles
The sides of a triangle are x cm, x + 3 cm and 10 cm. If x is a whole number of cm, find the lowest value of x.
The value of x should be less than 3.5.
Given that sides of a triangle are x cm, x + 3 cm and 10 cm. We need to find the lowest value of x,
Using the triangle inequality theorem,
The triangle inequality theorem states that, in a triangle, the sum of lengths of any two sides is greater than the length of the third side.
So,
x + x + 3 > 10
2x + 3 > 10
2x < 7
x < 3.5
Hence the value of x should be less than 3.5.
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
The slope of the line shown in the graph is _____
and the y-intercept of the line is _____ .
The slope of the line shown in the graph is __2/3__
and the y-intercept of the line is __6___
How to find the slope and the y-intercept?The general linear equation is written as follows:
y = ax + b
Where a is the slope and b is the y-intercept.
On the graph we can see that the y-intercept is y = 6, then we can write the line as:
y = ax + 6
The line also passes through the point (-9, 0), replacing these values in the line we will get:
0 = a*-9 + 6
9a = 6
a = 6/9
a = 2/3
That is the slope.
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If 18√8 - 8√18 = √n, what is n? Can you express 18√8 - 8√18 as multiples of the same square root?
Step-by-step explanation:
squaring both side
(18√8-8√18)^2=(√n)^2
(18√8)^2+(8√18)^2-(2)(8√18)(18√8)=n
after solving it we will get
3744-3456=n
n=288
=====================================================
Explanation:
Simplify the first part of the left side
\(18\sqrt{8} = 18\sqrt{4*2}\\\\18\sqrt{8} = 18\sqrt{4}*\sqrt{2}\\\\18\sqrt{8} = 18*2*\sqrt{2}\\\\18\sqrt{8} = 36\sqrt{2}\)
And do the same for the second part of the left side
\(8\sqrt{18} = 8\sqrt{9*2}\\\\8\sqrt{18} = 8\sqrt{9}*\sqrt{2}\\\\8\sqrt{18} = 8*3*\sqrt{2}\\\\8\sqrt{18} = 24\sqrt{2}\)
For each simplification, you are trying to factor the stuff under the square root so that you pull out the largest perfect square factor possible.
-------------------------
The original equation \(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\) turns into \(36\sqrt{2}-24\sqrt{2} = \sqrt{n}\)
We have the common factor of \(\sqrt{2}\) so we can combine like terms on the left side ending up with \(12\sqrt{2}\)
-------------------------
So,
\(18\sqrt{8}-8\sqrt{18} = \sqrt{n}\\\\36\sqrt{2}-24\sqrt{2} = \sqrt{n}\\\\12\sqrt{2} = \sqrt{n}\\\\\sqrt{n} = 12\sqrt{2}\\\\\left(\sqrt{n}\right)^2 = \left(12\sqrt{2}\right)^2\\\\n = 288\)
Yes it is possible to express \(18\sqrt{8}-8\sqrt{18}\) as multiples of the same square root. In this case, we can express the left hand side of the original equation as 12 multiples of \(\sqrt{2}\)
Evaluate: 7(9+8+6) *
Answer:
The answer to your problem is, 161
Step-by-step explanation:
(9+8+6) = 23
7 x 23 =
161
Thus the answer is 161
A large home improvement store is considering expanding its selection of moving products, such as cardboard
boxes and packing tape. The store constructs a 90% confidence interval to estimate the proportion of all customers
who have moved houses at least once in the last five years. In the random sample of 620 customers, 201 (32.4%)
replied that they had moved at least once in the last five years. The sample yielded the 90% confidence interval
(0.293, 0.355) for the proportion of all customers who have moved in the past five years. Sheldon, an employee who
wishes to expand the selection of moving products, claims that more than 1 in 4 customers have moved in the past
five years. Zachary, another employee, urges Sheldon to be bolder in his claim and say that more than 1 in 3
customers have moved in the past five years. Based on the confidence interval, which employee's claim is
plausible?
Answer:
Based on the confidence interval, Sheldon's claim is plausible
Step-by-step explanation:
The number of customers in the sample, n = 620 customers
The number of customers that replied that they had moved at least once in the last five years = 201 (32.4%)
The 90% confidence interval for the sample = (0.293, 0.355)
Let 'p' represent the proportion of all customers who have moved in the past five years
The proportion of customers Sheldon claimed have moved in the past five years, p > 1 in 4 (0.25)
The proportion Zachary urges Sheldon to claim is, p > 1 in 3 (0.\(\overline 3\))
Given that the lower estimate of the confidence interval is 0.293 (>0.25) and upper bound of the confidence interval is 0.355 (> 0.\(\overline 3\)), and that 0.26 in also more than 1 in 4 but less than 0.293, but however that 0.293 which is within the 90% confidence interval is less than 0.\(\overline 3\) or 1 in 3, as opposed to what Zachary urges Sheldon to claim, Sheldon's claim is more plausible.
Answer:D
Step-by-step explanation:
HELP ASAP!! What are the boundaries of the feasible region (i.e. the points that define
the region of solutions)? (Hint: There should be four points)
Answer:
We need to see the graph in order to solve this.
Step-by-step explanation:
No graph
Solve the equation for y.
3x + jy= 7
Answer:
\(y=\frac{7-3x}{j}\)
Step-by-step explanation:
First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with \(y=\frac{7-3x}{j}\) .
Im not sure how to find the distance between the points.
Given,
the coordinates of the point is P(-4, -1) and N(1, -8).
Required
The distance between the point P and N.
The distance between the point P and N.
\(\begin{gathered} Distance=\sqrt{(1-(-4))^2+(-1-(-8))^2} \\ =\sqrt{5^2+(7)^2} \\ =\sqrt{25+49} \\ =\sqrt{74} \end{gathered}\)Hence, the distance between the points is sqrt(74).
a young professional wishes to have $730000 in her retirement account. she invests $900 monthly in the account which earns 11.5 nnually. find the number of payments needed to reach her goal.
To find the number of payments needed to reach the retirement goal of $730,000, we can use the formula for the future value of an ordinary annuity:
FV = P * ((1 + r)^n - 1) / r
Where:
FV = Future value (goal amount) = $730,000
P = Monthly payment = $900
r = Annual interest rate = 11.5% = 0.115 (expressed as a decimal)
n = Number of payments (unknown)
Plugging in the given values into the formula, we can solve for n:
$730,000 = $900 * ((1 + 0.115)^n - 1) / 0.115
Now, let's solve for n. First, we'll simplify the equation:
730,000 * 0.115 = 900 * ((1 + 0.115)^n - 1)
84,050 = (1.115^n - 1) * 900
Divide both sides by 900:
93.39 = 1.115^n - 1
Add 1 to both sides:
94.39 = 1.115^n
Now, take the logarithm of both sides using the natural logarithm (ln):
ln(94.39) = ln(1.115^n)
Using the logarithmic property ln(a^b) = b * ln(a), we can simplify further:
ln(94.39) = n * ln(1.115)
Divide both sides by ln(1.115):
n = ln(94.39) / ln(1.115)
Using a calculator, we can find:
n ≈ 280.64
Since the number of payments represents the number of months, we round up to the nearest whole number:
n = 281
Therefore, the young professional will need to make 281 monthly payments to reach her retirement goal of $730,000.
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What is the probability of
rolling a 6?
[?]
Simplify the fraction
Answer:
The probability of rolling a 6 on a die is 1/6
Step-by-step explanation:
There are 6 faces on a die which means 6 equal chances of rolling on a specific face
Write the equation of the line in fully simplified slope-intercept form.
Step-by-step explanation:
a slope-intercept form :
y = ax + b
"a" is the slope, "b" is the y-intercept (the y-value when x = 0).
the slope is the ratio (y coordinate change / x coordinate change) when moving from on point on the line to another.
"b" we can read off the graph : when x = 0, then y = -5.
so, b = -5.
for the slope let's pick 2 points. your teacher has kindly marked already points with integer coordinates.
so, I pick (3, 1) and (4, 3).
x changes by +1 (from 3 to 4).
y changes by +2 (from 1 to 3).
so, the slope is
+2/+1 = 2/1 = 2
the equation is
y = 2x - 5
Answer: y=2x-5
Step-by-step explanation:
Choose two points on the graph: (0,-5) and (3,1)
The straight line equation is: y=mx+b
1)
\(\displaystyle\\\boxed {The\ slope\ m\ =\frac{y_2-y_1}{x_2-x_1} }\)
\(\displaystyle\\x_1=0\ \ \ \ \ x_2=3 \ \ \ \ y_1=-5\ \ \ \ y_2=1\\\\ Hence,\\\\m=\frac{1-(-5)}{3-0} \\\\m=\frac{1+5}{3} \\\\m=\frac{6}{3} \\\\m=2\\\\Thus,\ y=2x+b\ \ \ \ \ (1)\)
2)
To determine the coefficient b, take any of the two points,
for example, (0,-5), that is, x=0 y=5
Substitute these values into formula (1):
\(-5=2*0+b\\-5=0+b\\-5=b\\Thus,\ b=-5\)
The result is y=2x-5
Let {X,X
n
,n≥1} be i.i.d. Show that
lim
lim
n→[infinity]
∣X
n
∣/n≤C a.s. (C>0)⟺E∣X∣<[infinity]
The statement lim n→∞ |Xₙ|/n ≤ C almost surely is equivalent to E|X| < ∞.
To show that lim n→∞ |Xₙ|/n ≤ C almost surely (where C > 0), if and only if E|X| < ∞, we can use the Borel-Cantelli Lemma and the Law of Large Numbers.
1. First, let's assume that lim n→∞ |Xₙ|/n ≤ C almost surely.
- This means that the sequence of random variables |Xₙ|/n converges almost surely to a limit less than or equal to C.
- By the Borel-Cantelli Lemma, if the sum of the probabilities of infinitely many events is finite, then the probability of those events occurring is zero.
- Let Aₙ be the event { |Xₙ|/n > C }.
- Since the limit of |Xₙ|/n is less than or equal to C almost surely, it implies that the probability of Aₙ occurring infinitely often is zero.
- Therefore, the sum of the probabilities of Aₙ is finite.
- Now, we can calculate the expected value of |X| using the definition of expectation: E|X| = ∫ |x| f(x) dx, where f(x) is the probability density function of X.
- By the monotonicity property of the integral, we have: E|X| = ∫ 0∞ P(|X| > t) dt.
- By the definition of Aₙ, we have: P(|Xₙ|/n > C) = P(|Xₙ| > nC).
- Therefore, the sum of the probabilities P(|Xₙ| > nC) is finite, which implies that the expected value E|X| is finite.
2. Now, let's assume that E|X| < ∞.
- By the Law of Large Numbers, we know that Xₙ/n converges in probability to E(X).
- Since Xₙ/n converges in probability, it also converges almost surely to the same limit.
- Therefore, lim n→∞ |Xₙ|/n = lim n→∞ |Xₙ|/n ≤ E|X|/n = 0 almost surely.
- Since lim n→∞ |Xₙ|/n ≤ 0 almost surely, we can multiply both sides by -1 to obtain lim n→∞ |Xₙ|/n ≤ 0 almost surely.
- By adding C to both sides, we get lim n→∞ |Xₙ|/n ≤ C almost surely.
In conclusion, the statement lim n→∞ |Xₙ|/n ≤ C almost surely is equivalent to E|X| < ∞.
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Mrs Mabaspacked , prudence's mom packed a cooler box bag for the day of the painting . Two six pack cans fit exactly on top of each other in the cooler bag. A can has a diameter of 6 cm and a height of 8,84 cm 0:41 EZ07/67/90 dy the information given in the information above and answer the questions that follow. 2.1 2.2 2.3 2.4 Calculate the volume in ml of one can of cold drink, rounded to the nearest whole number. Determine the height of the cooler bag, rounded to the nearest whole number. Determine the volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm. Each can have a label on them as shown by the image below Piesse Circumference of the can NEW Diet, Soda 0 Calories! Calculate the length of the lable. CALORIES PER SERVING Nutrition Fac Hight of the can (3) (2) (3) (2) 27 [10]
2.1 The volume in ml of one can of cold drink is 83 ml.
2.2 The height of the cooler bag is 18 cm.
2.3 The volume in ml of the cooler bag if the breadth of the bag is 12 cm and the length 18 cm is 3,888 ml.
2.4 The circumference of the can is 18.84 cm.
How to calculate the volume of a cylindrical can?In Mathematics and Geometry, the volume of a cylinder can be calculated by using this formula:
Volume of a cylinder, V = πr²h
Where:
V represents the volume of a cylinder.h represents the height or length of a cylinder.r represents the radius of a cylinder.By substituting the given side lengths into the volume of a cylinder formula, we have the following;
Volume of can = 3.14 × (6/2)² × 8.84
Volume of can = 83.27 cm³.
Note: 1 cm³ = 1 ml
Volume of can in ml = 83.27 ≈ 83 ml.
Part 2.2.
For the height of the cooler bag, we have:
Height of cooler bag = 2 × height of can
Height of cooler bag = 2 × 8.84
Height of cooler bag = 17.68 ≈ 18 cm.
Part 2.3
Volume of cooler bag = length × breadth × height
Volume of cooler bag = 18 × 12 × 18
Volume of cooler bag = 3,888 ml.
Part 2.4
The circumference of the can is given by:
Circumference of circle = 2πr
Circumference of can = 2 × 3.14 × 3
Circumference of can = 18.84 cm.
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Missing information:
The question is incomplete and the complete question is shown in the attached picture.
Find the area of the shaded region. Use 3.14 for pi. Round to the nearest tenth.
r = 15
110
Answer:
110/360=11/36 (I will get back to this)
The area of the circle would be 225 pi using the formula pi r^2. So you multiply 225pi by 11/36 to find the area. This rounds to 215.98
Answer: 490.6
Step-by-step explanation:
There are 360 degrees of a triangle. As 110 degrees are not shaded, you can determine that 250/360, or 25/36 of the degrees in the triangle are shaded. Then simply find the area of the circle by doing πr^2 and getting 706.5. Then simply multiply 706.5 * 25/36 to get 490.625, or 490.6 when rounding to the nearest tenth
Please help! Sarah’s dogs:
Create frequency tables to represent the morning and afternoon dogs as two sets of data. Group the weights into classes that range 10 pounds. (Table is in second attachment)
Answer:
For Sarah's dogs, we have:
Morning:
39, 21, 12, 27, 23, 19, 19, 31, 36, 25
if the ranges are:
A) 10 pounds to 19 pounds: here we have the dog of 12, and two dogs of 19.
B) 20 to 29: one of 21 pounds, one of 27, one of 23 and one of 25, so here we have 4 dogs.
C) 30 to 39. here we have the left 3 dogs.
then the table is:
\(\left[\begin{array}{ccc}range&dogs\\10to19&3\\20to29&4\\30to39&3\end{array}\right]\)
For the afternoon, the weights of the dogs are:
15, 51, 8, 16, 43, 34, 27, 11, 8, 39
So the ranges:
0 to 9: here we have two dogs of 8.
10 to 19: 3 dogs, 15, 16 and 11.
20 to 29: 1 dog of 27
30 to 39: 2 dogs of 34 and 39
40 to 49: one dog of 43
50 to 59: one dog of 51.
the table is:
\(\left[\begin{array}{ccc}range&dogs\\0to9&2\\10to19&3\\20to29&1\\30to39&2\\40to49&1\\50to59&1\end{array}\right]\)
Answer:
No hate but Facundo your answer is so complicated
Step-by-step explanation:
what numbers does a,b,c represent and you have two tables but after abc I just don't understand can someone please help me?!? Thanks for answering it though.
7. What is the perimeter of the
rectangle?
Answer:
I don't see anything but Perimeter is Length + Width × 2
Describe how the graph of y= x2 can be transformed to the graph of the given equation. (2 points) y = (x-10)2+8 Shift the graph of y = x2 left 10 units and then down 8 units. Shift the graph of y = x2 up 10 units and then right 8 units. Shift the graph of y = x2 left 10 units and then up 8 units. Shift the graph of y = x2 right 10 units and then up 8 units.
Move the y = x2 graph 10 units to the right, then 8 units up.
There are y= x²——————> y = (x-10)²+8
The fact that
A point (x,y) in f(x) shifts up by d as a result of f(x)+d, a
and
f(x-e) ----> a point (x, y) in f(x) becomes a——————-> (x+e, y)——> shift right by in this issue
d=8
e=10
Therefore,
Shift the y = x2 graph.
8 up, 10 to the right
The law is
(x,y)———-> (x+10,y+8)
The vertex in the equation y=x2--------- (0,0)
The vertex in the equation y = (x-10)2+8 (10,8)
so
(10,8)------> (0,0)----------> (x+10,y+8)———> (10,8)------> (0+10,0+8)
As a result, shift the y = x2 graph 8 units up and then 10 units to the right.
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C-Ice is a canned beverage made from tea and cannabis that is marketed in Europe as a nutritional drink that can boost the user's immune system. It can only be purchased at health food stores. This limitation on the _____ element of its marketing mix strategy supports the product’s competitive advantage.
a. planning
b. product
c. promotion
d. distribution
e. production
2. Which of the following is NOT an example of a product's tangible feature?
a. brand equity
b. packaging
c. color
d. weight
e. size
This limitation on the distribution element of its marketing mix strategy supports the product’s competitive advantage.
The one which is not representing an example of a product's tangible feature is brand equity.
The limitation on the distribution element of the marketing mix strategy supports the product's competitive advantage.
By exclusively selling C-Ice at health food stores,
The company creates a selective distribution channel that positions the product as a specialized and premium offering.
This limited availability enhances the perception of exclusivity.
And uniqueness, potentially attracting health-conscious consumers who value natural and nutritional products.
Brand equity is not an example of a product's tangible feature.
Brand equity refers to the intangible value and perception associated with a brand,
Such as its reputation, customer loyalty, and brand recognition.
Tangible features, on the other hand, are physical characteristics of a product that can be observed or measured.
Examples of tangible features include packaging, color, weight, and size.
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Please help me with this
What is m
Pat, Ally and Julie work at a clothing store and they want to compare their weekly earnings. Ally made twice what Pat made and Julie made $90 more than Ally. If their total earnings for the week are $995, how much didi each girl make?
Answer:
Pat earnings = $181
Ally earnings = $362
Julie earnings = $452
Step-by-step explanation:
Let
Pat earnings = x
Ally earnings = 2x
Julie earnings = 2x + 90
Total earnings = $995
Total earnings = Pat earnings + Ally earnings + Julie earnings
995 = x + 2x + (2x + 90)
995 = 3x + 2x + 90
995 = 5x + 90
995 - 90 = 5x
905 = 5x
x = 905/5
x = 181
Pat earnings = x = $181
Ally earnings = 2x
= 2(181)
= $362
Julie earnings = 2x + 90
= 2(181) + 90
= 362 + 90
= $452
William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2,500 for their reception. If the reception hall charges a $100 cleanup fee plus $38 per person, find the greatest number of people that they may invite and still stay within their budget.
The greatest number of people that William and Debra may invite and still stay within their budget is 63.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Since William and Debra have budgeted $2,500 for their reception. Therefore, their total expenses should be equal to the total expenses in the reception.
Budget = Total expenses
Budget = Reception hall Cleanup charge + $38 per person fee
Let the number of people invited to the party be represented by x,
$2,500 = $100 + $38(x)
2500 = 100 + 38x
2500 - 100 = 38x
2400 = 38x
x = 2400 / 38
x = 63.157 ≈ 63
Hence, the greatest number of people that William and Debra may invite and still stay within their budget is 63.
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solutions of the quadratic $x^2 + 7x - 18 = 0.$
The solution of the quadratic equation x² + 7x - 18 = 0 will be 2 and negative 9.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic equation is given below.
x² + 7x - 18 = 0
Factorize the quadratic equation, then we have
x² + 7x - 18 = 0
x² + 9x - 2x - 18 = 0
x(x + 9) - 2(x - 9) = 0
(x + 9)(x - 2) = 0
x = 2, -9
The arrangement of the quadratic condition x² + 7x - 18 = 0 will be 2 and negative 9.
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Di runs at a rate of 4 meters per second. Which equation models the situation?
d = distance traveled
t = time spent running
4 = dt
d = 4t
t = 4d
d = 4d
Answer:
Answer:d
Step-by-step explanation:
The equation relates the distance and time with a constant speed of 4 meters per second is d= 4t.
What is Equation?In mathematics, an equation is a statement of equality between two mathematical expressions, which are separated by an equals sign (=) and consist of variables and constants.
Di runs at a rate of 4 meters per second.
So, The equation that models the situation is:
d = 4t
where d is the distance traveled in meters, and t is the time spent running in seconds.
This equation relates the distance and time with a constant speed of 4 meters per second.
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Notebooks cost 0.75 each and shipping costs are $3.00. How many notebooks can you buy with $14? Round your answer to the nearest whole number.
Answer:
4
Step-by-step explanation:
$0.75 + $3.00
$3.75
$14 ÷ $3.75
$4
i need help with number 11
Answer:
Step-by-step explanation:
So the first thing that you'll have to recognize is that the interior angles of a triangle add to 180°
Next, note that the angle that is given as 5y -23 is also the same angle as the inside of the triangle, as well as the angle it's written on.
recognizing both of these let's you write this.
180 = 2x+13 + 47 + 5y - 23
this doesn't help us too much because there are two unknowns and only one equation. we would need two equations to solve this :(
but.....
now note, that the angle 3x and 5y - 23 are also equal. Assuming that the lines are parallel that look parallel. I think for this problem we can assume that they are.
now revise the problem
180 = 2x+13 +47 +3x
now use your algebra skillz
180 = 5x 60
180-60 = 5x
120 = 5x
120/5 = 5x/5
24 = x
now plug x into the earlier equation
180 = 2x+13 + 47 + 5y - 23
180 = 2(24) + 13 + 47 +5y - 23
180 = 48 + 13 + 47 +5y -23
180 = 109 - 23 + 5y
180 = 85 + 5y
180 - 85 = 5y
95 = 5y
19 = y
What is the volume of the box?
Answer:
60 unites
Step-by-step explanation:
asquarematrixiscalledapermutationmatrixifitcon- tains a 1 exactly once in each row and in each column, with all other entries being 0. examples are in and are permutation matrices invertible? if so, is the inverse a permutation matrix as well?
Examples of permutation matrices are the identity matrices with a permutation in rows. Permutation matrices are invertible and the inverse is a permutation matrix as well.
A permutation matrix is a square matrix which contains exactly one 1 in each row and all other entries 0.
So a permutation matrix can be obtained by rearranging the rows or columns of an identity matrix. Identity matrix is also a permutation matrix with entry 1 exactly once in each row and all other entries 0.
Example of a permutation matrix:
\(\left[\begin{array}{ccc}1&0&0\\0&0&1\\0&1&0\end{array}\right]\)
A permutation matrix is invertible because an identity matrix is invertible [since det(I) = 1] and a permutation matrix is just got by exchanging rows or columns which does not change its determinant. So the determinant of a permutation matrix ≠ 0 and hence invertible.
The inverse of a permutation matrix is its transpose itself. The transpose is again a permutation matrix.
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Stephen and Lauren bought a home to flip
for a profit. After budgeting a total of
$23,150 for improvements, they started by
spending $10,350 on subbing out some of
the work. They would like to replace all
thirty-two of the windows in the home.
What is the maxium amount they can
afford to spend on each window?
Answer:
400 dollars
Step-by-step explanation:
Can y’all please help me
Answer:
Rly lazy man.....
Step-by-step explanation:
1/2*l*w is the area of triangle, plug in values...
1/2*4.5*6.6
14.85 square feet is the area
Answer:
A=14.85
Step-by-step explanation:
\(A=\frac{ab}{2}\)
"ab' are the lengths of the sides
\(A=\frac{(4.5)(6.6)}{2} \\\\A=\frac{29.7}{2} \\\\A=14.85\)
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