Use row operations to simplify and compute the following determinants: 1 t2 det 101 201 301 102 202 302 103 203 303 and det t +2 t 1 t (b) If A E M3x3(R) has det A = det(A-1). -5, find det(A), det(-A), det(A²), and

Answers

Answer 1

In the first row, subtract the second element multiplied by t and third element multiplied by t^2. Since this doesn't change the determinant value, we can do this operation without changing the value.

1) Use row operations to simplify and compute the following determinants:1 t2 det 101 201 301 102 202 302 103 203 303det | 101 201 301 | | 0 -t t | | 103 203 303 |

Doing this operation leaves us with a 2x2 determinant, which we can evaluate by expanding along the first row.

det | 0 -t | | 103 203 | = (0 * 203) - (-t * 103) = 103t

Therefore the original determinant is 103t2)

If A E M3x3(R) has det A = det(A-1). -5,

find det(A), det(-A), det(A²), and If det(A)

= det(A-1),

then we know that det(A) * det(A-1) = 1.

This means that det(A) = sqrt(1) = 1 or det(A) = -sqrt(1) = -1.

Since we also know that det(A) = -5,

we can conclude that det(A) = -1.

Now we can evaluate the other determinants: det(-A) = (-1)^3 * det(A) = -det(A) = 1det(A²) = (det(A))^2 = (-1)^2 = 1Therefore, det(A) = -1, det(-A) = 1, and det(A²) = 1.

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Related Questions

a bagel store sells 6 different types of bagels. in how many ways can you buy 20 bagels with at least one bagel of each kind?

Answers

The number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

To calculate the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels, we can use the concept of stars and bars.

First, we need to ensure that we have at least one of each type of bagel. So, we take one bagel of each type, which leaves us with 14 bagels to buy.

Now, we can use stars and bars to distribute the remaining 14 bagels among the 6 types of bagels. We represent the 14 bagels as stars and the 5 possible locations between the types of bagels as bars.

Using this method, we need to distribute 14 stars among 5 bars, which can be done in

(14+5-1) choose (5-1) = 18 choose 4 = 3060 ways.

Therefore, the number of ways to buy 20 bagels with at least one bagel of each kind from a bagel store that sells 6 different types of bagels is 3060.

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The graph ta free rotht shows how many pounds of apples and one wine. Fir examples if you devote al of your time ta poing apples and none of your time 10 inckino chemos. you can prow. 72 pounds of apples. If you devote al of your nime bo picking chetres, you can plos 12 pounds. Ar the same fime, if your neighbor deyotes afl of her time fo phiching apples, she can pick 32 pounds of appies. If she devohes all of her time to picking cherrief, she can pick 32 pocmate Suppose mitialy that you (Y) are consumhng 24 pounts of appiot and 11 pounds of cherries and that your neighbor (N) is consurning 28 pounds of apples and 4 pounds of cherries. as indisated in the graph. Then, suppese you and your neighbor specialize by each only picking the good for which. you have a comparative adyantage and trade. in particular, suppose you trade your neightor haif of your production for haif of what your nedghbor produces. In the cable below, first fis in production when specializing: Enter numene responses using integers.)

Answers

When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

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Which brand will have the lower lifetime cost, and how much lower will it be? hints: if the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the lifespans. remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent. a. brand u will be $1,051.92 cheaper than brand v. b. brand u will be $976.92 cheaper than brand v. c. brand v will be $75 cheaper than brand u. d. brand v will be $2109.40 cheaper than brand u.

Answers

a. Brand U will be $1,051.92 cheaper than Brand V. Option A is the correct answer to the given question.

To calculate the lifetime cost of each oven, we need to consider the initial purchase price, daily electricity costs, and lifespan. For Brand U, the lifetime cost would be:

Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan)

= $2,250 + ($0.16 × 365 × 24)

= $4,013.60.

For Brand V, assuming two repurchases to equalize the lifespan, the lifetime cost would be: Lifetime cost = Price + (Avg. Cost/Day × 365 days × Lifespan × 3)

= $725 × 3 + ($0.28 × 365 × 8 × 3)

= $3,961.68.

Therefore, Brand U will have a lower lifetime cost than Brand V by $1,051.92 (option a).

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Complete Question

Pam has just moved into a new home and wants to purchase an oven. She expects to live in this house for the foreseeable

future. She has narrowed her choices down to two options. Consider the following table, which describes the prices, daily

electricity costs, and lifespans of the two ovens she is considering: T Brand Price Avg. $2,250  Cost/Day $0.16 Lifespan Brand U 24 years Brand V $725 $0.28 8 years

Which brand will have the lower lifetime cost, and how much lower will it be?

Hints: If the product's expected lifespans differ, assume that repurchase(s) at the same price is possible to equalize the

lifespans. Remember that six of the twenty-four years will be leap years, and round all dollar values to the nearest cent.

a. Brand U will be $1,051.92 cheaper than Brand V.

b. Brand U will be $976.92 cheaper than Brand V.

C. Brand V will be $75 cheaper than Brand U.

Answer:

Its actually B, (Brand U will be $976.92 cheaper than Brand V).

Step-by-step explanation:

trust

which triangles if any

Answers

REmember that

If two triangles are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

Verify

Triangle 2

Find out the interior angles

47, 64,x

the sum must be equal to 180 degrees

47+64+x=180

x=69 degrees

Triangle 3

interior angles

47,69 and the third angle must be 64 degrees

that means

triangle 2 and triangle 3 are similar

answer is(2,3)

Molly's school is selling tickets to a play. On the first day of ticket sales the school sold 7 senior citizen tickets and 11 student tickets for a total of $125. The school took in $180 on the second day by selling 14 senior citizen tickets and 8 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Answers

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Which equation is equivalent to the formula below?
y = a(x – h)2 + k

Which equation is equivalent to the formula below?y = a(x h)2 + k

Answers

It’s gonna be the last option

Answer:

a=y-k/(x-h)^2

Why is the property of closure important in math?

Answers

Understanding a set’s nature or properties is made easier by its closure property

What is the Closure Property?

The set is closed if it has the closure property. This means that any operation performed on an element within a set will provide a result that belongs to that element’s set.

Why Closure Property is important?

Understanding a set’s nature or properties is made easier by its closure property. Mathematical applications of closure are numerous. Any operation that adheres to this condition is said to be “closed” or to have “fulfilled the operation’s closure property.”

Example – The set of even number is closed under subtraction

                   Even – Even = Even

                   6 – 4 = 2

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The circumference of a circle is 12πcm. How do you find the a) Diameter: b) Radius: c) Area of the circle in terms of π?

Answers

Answer:

see below

Step-by-step explanation:

The circumference of a circle is 12πcm. = 2πr

so radius =6

diameter =2r =12

area = πr² =36π

The radius of the circle be 6 cm and diameter be the double of radius, diameter be 12 cm then the area of the circle be 36π cm².

What is meant by circle?

A circle is round with no sides or corners. Circles can be big and small. Circles can be any color. Being round with no sides or corners is the defining attribute of a circle.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.

A circle is simply a round shape that has no corners or line segments. It is a closed curve shape in geometry. The points of circle are at a fixed distance from the center.

Let r be the radius of a circle, then its circumference of the circle be \($2 \pi r$\) and area of the circle be \($\pi r^2$\).

Circumference exists given to be \($12 \pi$\), we get

\($$2 \pi r=12 \pi$$\)

simplifying the above equation, we get

\($r=\frac{12 \pi}{2 \pi}\) = 6 cm

The radius of the circle be 6 cm and diameter be the double of radius, diameter exists 2 × 6 = 12 cm.

Area of the circle be \($\pi \times 6^2=36 \pi \mathrm{cm}^2$\).

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The sales tax in one state is 6%. Write a function rule for finding the total cost of an item with selling price x. Then find the total cost of a CD player with a selling price of $160.


f(x) = 0.06x; $9.60

f(x) = 6 + x; $161.06

f(x) = x – 6; $158.94

f(x) = 1.06x; $169.60

Answers

Answer: brainly.... D. f(x) = 1.06x; $169.60

sales tax = 6% or 6/100.  

assuming tax is added onto the item:

total cost function f(x) = price + tax

however, assuming the cost price = sales price  - tax,  then:

f(x) = sales price - tax  

This is not really a business or accounting forum, its a maths forum, so you need to be clearer about business or accounting terms such as total cost, selling price, selling cost.

Step-by-step explanation: brainly

if y= the item after tax

y=x+(x*6%) or y=x+6%

and then for the answer you would go:

y=160+6% or 160+(160*6%)= $169.60

Answer: f(x)=1.06x; $169.60

Step-by-step explanation: pearson

Select the statement below that is true about correlations.A. Correlations can only be negativeB. Correlations are a measure of how much one variable changes as the other variable changesC. Correlations are a measure used to determine the degree to which two variables are related.D. Correlations are a measure of causation between two variablesE. A negative correlation implies no relationship between variablesF. Correlations can only be positive

Answers

The statements that are True about the Correlations is , "Correlations are a measure used to determine the degree to which two variables are related" , the correct option is (c) .

In the question,

few statements about Correlation is given ,

we need to find the statement that is True .

we know that , Correlation is the term that is used to measure the degree of relationship between two variable ,

the correlation can be negative , positive or 0 ,

and the negative correlation implies that if one variable increases then other variable decreases and vice a versa .

So , from the above information about Correlation ,

we conclude that , the True statement is "Correlations are a measure used to determine the degree to which two variables are related. "

Therefore , the statement in option (c) is True  .

The given question is incomplete , the complete question is

Select the statement below that is true about correlations.

(a) Correlations can only be negative

(b) Correlations are a measure of how much one variable changes as the other variable changes

(c) Correlations are a measure used to determine the degree to which two variables are related.

(d) Correlations are a measure of causation between two variables

(e) A negative correlation implies no relationship between variables

(f) Correlations can only be positive .

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an incomplete table of values for an exponential function is shown. the exponential function is of the form y=a*b^x, where a is a real number such as a does not equal 0 and b is a positive number not equal to 1. complete the table with possible values for the exponential function

Answers

The table showing the exponential function is completed and presented below  

x      y

0    96

1    192

2   384

3   768

How to complete the table

The expression for the table is given as

y = a * b^x,

Point (0, 96) is on the table.

a = 96,

when b = 2, we have that

for x = 1

y = 96 x 2^x = 96 x 2^1 = 192

for x = 2

y = 96 x 2^x = 96 x 2^2 = 384

for x = 3

y = 96 x 2^x = 96 x 2^3 = 768

Therefore, The required exponential function will be  

x      y

0    96

1    192

2   384

3   768

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an incomplete table of values for an exponential function is shown. the exponential function is of the

y=2x+5
solve for y and x

Answers

Answer:

x = (2.5, 0)     y = (0, 5)

Step-by-step explanation:

3. What is 5% of 120?
A. 5
B. 6
C. 10
D. 12

Answers

Answer:

B

Step-by-step explanation:

5% of 120

= \(\frac{5}{100}\) × 120

= 0.05 × 120

= 6

Situation:
A 22 gram sample of a substance that's
used to sterilize surgical instruments has
a k-value of 0.138.
1
-kt
N= Noe
No = initial mass (at time t = 0)
N = mass at time t
k = a positive constant that depends on
the substance itself and on the units
used to measure time
t = time, in days

Answers

Answer:

mass at tika is the answer of that question answer

hydrostatic weighing uses which statistic to predict the percentage of body fat?

Answers

Hydrostatic weighing uses the statistic known as density to predict the percentage of body fat.

Hydrostatic weighing, also known as underwater weighing or densitometry, is a method used to estimate body composition by measuring the density of an individual's body.

The principle behind hydrostatic weighing is that fat tissue is less dense than lean tissue, such as muscle and bone.

During a hydrostatic weighing test, the individual is submerged in water while their body volume is measured. By comparing the weight on land with the weight in water, the density of the body can be calculated.

The measured density is then used in equations or regression models to estimate the percentage of body fat.

The statistic of density is crucial in this process because it represents the ratio of an individual's mass to their volume.

By accounting for the density of fat and lean tissue, hydrostatic weighing provides an estimate of body fat percentage based on the differences in density between these components.

It is worth noting that while hydrostatic weighing has been widely used as a reference method for body composition assessment, more modern techniques such as dual-energy X-ray absorptiometry (DXA) and bioelectrical impedance analysis (BIA) have gained popularity due to their convenience and accessibility.

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Person who gets it correct wins brainliest! This is due is 2 minutes! Question is in the screenshot. QUESTION 2!

Person who gets it correct wins brainliest! This is due is 2 minutes! Question is in the screenshot.

Answers

Answer:

Step-by-step explanation:

Cubic centimeters is multiplying by another dimension which means volume. Squared centimeters means area.

what is -5 + 12 - 4​

Answers

Answer:

3

hope this helps

Answer:

3

Step-by-step explanation:

A negative plus a positive adds closer to zero, so negative five plus twelve is seven. A positive minus a positive is going closer towards zero, so there.

So, your answer is three!

18+x=27
please answer soon:)

Answers

Answer:

x = 9

Step-by-step explanation:

18 + x = 27

x = 27 - 18

x = 9

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer

Answers

Answer: B

Step-by-step explanation:

The domain of a function is every x-value, and the range is every y-value.

Hope it helps <3

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer

Answer:

B

Domain: (-∞,∞)

Range: (-∞,5]

Step-by-step explanation:

The domain is (-∞,∞) because the graph as you can see, is continuously going outwards forever.

The range is (-∞,5] because the graph as you can see, is always going down forever and the top point is at 5. The 5 is in a bracket because it is a defined number while ∞ is undefined!

Hope this helped and good luck :)

ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer

calculate the circulation of the field f around the closed curve c. circulation means line integral f = - x 2yi - xy 2j; curve c is r(t) = 7 cos t i 7 sin t j, 0 ≤ t ≤ 2π

Answers

The circulation of the field f around the closed curve c is 0.

To calculate the circulation of the field f around the closed curve c, we need to evaluate the line integral of f around c. We can do this using the following formula:

∮c f · dr = ∫₀²π f(r(t)) · r'(t) dt

where r(t) is the parameterization of the curve c, r'(t) is the derivative of r(t) with respect to t, and f(r(t)) is the field evaluated at the point r(t).

First, let's find r'(t):

r(t) = 7 cos t i + 7 sin t j

r'(t) = -7 sin t i + 7 cos t j

Next, let's evaluate f(r(t)):

f(r(t)) = \(-x^2 y i - xy^2\) j

= -49 \(cos^2 t sin t i - 49 cos t sin^2\) t j

Now, we can plug in r'(t) and f(r(t)) into the line integral formula:

∮c f · dr = ∫₀²π f(r(t)) · r'(t) dt

= ∫₀²π (-49 \(cos^2 t sin t i - 49 cos t sin^2 t\) j) · (-7 sin t i + 7 cos t j) dt

= ∫₀²π \(343 cos^3 t sin^2 t dt + 343 cos^2 t sin^3 t dt\)

= 0

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Find the zeros for the following function:F(x) = x^2 − 9x − 36

Answers

The zero of the given function is x = 12 and. -3

Zeros of a function

Given the function expressed below;

F(x) = x^2 − 9x − 36

The zero of the function is the. point where f(x) = 0

x^2 − 9x − 36 = 0

Factorize to have;

x^2-12x+3x-36=0
X(x-12)+3(x-12)=0

(x-12)(x+3)= 0

Determine the zeros

x = 12 and. -3

Hence the zero of the given function is x = 12 and. -3

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George says that 4+ a +a+a+b+b=24ab
Describe the mistakes George has made.
Give the correct answer.

Answers

Answer:

3a+2b+4

Step-by-step explanation:

24ab indicates that there is 24 of unit ab which there is not. there is 4+ 3a+2b

What is the area of this polygon?

Pleasee help mee

I will mark brainliest!

What is the area of this polygon? Pleasee help meeI will mark brainliest!

Answers

Answer:

60 squared inches.

Step-by-step explanation:

You can break this polygon into two parts. The rectangle part of the polygon is 55 squared inches. The triangle part is 5 squared inches.

The rectangle:

\(5(11)=55\)

The triangle:

\(2(5)=10\\10/2=5\)

Therefore, the whole polygon is 60 squared inches.

Like what the other one said, and thank you so much for the points.

Simon had 2 cups of jelly he put the jelly in to 1/3 cup jars how many jars of jelly did he make

Answers

Answer: 6 jars

Step-by-step explanation:

All you need to do is divide 2 by 1/3. This is the same thing as multiplying 2 by the reciprocal of 1/3 (just flip the fraction) which is 3/1 or 3. Now, just multiply 2 and the reciprocal of 1/3, which we found out was three, and you should should get your answer of 6 jars. Hope this helps!

Bob has decided to make a heart-shaped cake using a square pan that is 9 inches by 9 inches and a circular pan with a diameter of 9 inches. Both pans are 2 inches tall. The picture shows the top view of the cake. Find the surface area of the cake including the bottom.

Bob has decided to make a heart-shaped cake using a square pan that is 9 inches by 9 inches and a circular

Answers

Answer:

I d k sorry just here for the point heh

I have the exact same question

TRIVIA
What is 3x-4y+3

Answers

Answer:

3x-4y+3 is linear equation.

3×1-4×1+3

3-4+3

3+3-4

6-4

2

Answer:

Well there's no way to really simplify it cuz we aren't given what x and y are equal too.  Plus, none of the terms are the same, so you can't combine anything.

sophie is designing a new board game, and is trying to figure out all the possible outcomes. how many different possible outcomes are there if she rolls a fair die in the shape of a pyramid that has four sides labeled 1 to 4, flips a coin, and rolls a fair die in the shape of a cube that has six sides labeled 1 to 6?

Answers

Answer:

48

Step-by-step explanation:

Since there are:

4 possibilities,

2 possibilities, and

6 possibilities

So the number of possible outcomes is:

4 × 2 × 6

= 48

which is the modal letter in curriculum​

Answers

Answer: pink

Step-by-step explanation:

The content of your cover letter should be brief and structured. Avoid lengthy repetition of information covered in your CV. Unlike a CV, it is acceptable to write a cover letter in the first person. Your letter should address the relevant contact, whose name often appears in the job advertisement

The volume of this cone is 643,072 cubic inches. What is the radius of this cone?

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

The radius of the cone is 783.84/√h

What is volume of a cone?

A cone is the surface traced by a moving straight line (the generatrix) that always passes through a fixed point (the vertex).

Volume is defined as the space occupied within the boundaries of an object in three-dimensional space.

The volume of a cone is expressed as;

V = 1/3πr²h

643072 × 3 = 3.14 × r²h

r²h = 614400

r² = 614400/h

r = 783.84/√h

therefore the radius of the cone is 783.84/√h

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If n = 6, what is the value of 9n−4?

Answers

Answer:

50 because,

Step-by-step explanation:

9n means 9 times 6. Which equals to 54, subtract 4 to get 50

Answer:

50

Step-by-step explanation:

If n = 6 the equation becomes 9(6)-4 or 9 x 6 - 4

9 x 6 = 54

54 - 4 = 50

Thus, the answer is 50

Other Questions
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