!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!
use the photo provided
thanks

!! 100 PTS+BRAINLIEST 4 CORRECT ANSWER+EXPLANATION!!use The Photo Providedthanks

Answers

Answer 1

Answer:

19.0 cm (3 sf)

Step-by-step explanation:

Formula

\(\sf arc \ length=2\pi r \left(\dfrac{\theta}{360}}\right)\)

(where r is the radius)

Arc length of white sector

Radius of white sector = 8 - 4.5 = 3.5 cm

\(\sf \implies arc \ length=2\pi \cdot 3.5 \left(\dfrac{50}{360}}\right)=\dfrac{35}{36} \pi \ cm\)

Arc length of grey sector

Radius = 8 cm

\(\sf \implies arc \ length=2\pi \cdot 8 \left(\dfrac{50}{360}}\right)=\dfrac{20}{9} \pi \ cm\)

Perimeter of shaded part

Perimeter = arc length (white) + arc length (grey) + 2 x 4.5

                \(\sf =\dfrac{35}{36} \pi + \dfrac{20}{9} \pi +9\)

                \(\sf =19.0356432...\)

                \(\sf =19.0 \ cm \ (3 \ sf)\)


Related Questions

need help asap. pls somebody help.

need help asap. pls somebody help.

Answers

Answer:

D

Step-by-step explanation:

why the panic ? you only need to compare the tiles with the actual terms in the equations and add them up.

-x²

-x -x

x x x x (clearly that means 4x)

-1 -1 -1

1 1

so, we see it is D.

I need help please tell the right answer

I need help please tell the right answer

Answers

Answer: 47.6 is your answer hope this helped

plz make brainly

Step-by-step explanation:

Answer:

36 - 4

Step-by-step explanation:

(6x - 2)(6x + 2)

= (6x)(6x) + (6x)(-2) + (2)(6x) + (-2)(2)

= 36 - 12x + 12x - 4

= 36 - 4Step-by-step explanation:

Kristina paid mortgage interest of
$6,320.00 and Medical Expenses of
$19,500.00 during 2022. Her
GROSS INCOME was $32,500.
16. Should Kristina take the
standard deduction or itemize her
two expenses? Why?
A)She should take the standard
deduction because it would be larger than her itemized deductions.
B) She should take the itemized
deductions because they would be larger than the standard deduction.
C) It wouldn't matter. Choosing either one
wouldn't change the outcome of your tax calculations.

Answers

Answer:

B) She should take the itemized deductions because they would be larger than the standard deduction.

Step-by-step explanation:

Given Kristina will file a single so her standard deduction for 2022 is $12,950.

For itemized deduction, she can include her mortgage interest of $6,320.00.

For her medical expenses, it has to be more than 7.5% of her gross income of $32,500 => 7.5% of $32,500 = $2437.5.

so her deduction for medical expenses is $19,500 - $2437.50 = $17,062.5

so her total itemized deduction is $6,320.00 + $17,062.50 = $23,382.50

Her itemized deduction is larger than standard deduction for single filing. So itemized deduction is the best option for Kristina.

A study was conducted showing the relationship between the average maintenance cost and the age of a car in years.
Number of observations: 13


Least Squares | Standard | T

Parameter | Estimate | Error | Statistic| P-Value

Intercept | 54.7757 | 54.87 | 0.998282 | 0.3396

Slope | 120.689 | 11.8442 | 10.1898 | 0.0000


a) What is the formula for the regression function based on the output above (Write your equation in the context of question)?


b) Interpret the slope of the regression equation (In the context of question)?


c) Construct an 95% interval to predict the maintenance cost for a car that is 7 years old?


d) Based on this analysis, can we conclude that a relationship exists between the maintenance cost and the age of the car in years? What is the null and alternative hypothesis? Justify your answer using three steps process.

Answers

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

A ship X sailing with a velocity (21 kmh 052⁰) observes a light fron a lighthuse due North. The bearing of the liglhthouse from the ship 20 minutes later is found to be 312. calcuate correct to thre sigificant figures

i) the orignal distance when the lighthoues is due West of the ship from the time when it is due North of the ship.

ii) the time in minutes, when the lighthouse is due West of the ship from the time when it is due North of the ship.

iii) the distance in km of the ship from the lighthoue when the light.hose is due West of the ship​

Answers

i) the original distance when the lighthouse is due West of the ship is 7 km

ii) The time in minutes when the lighthouse is due West of the ship is 21 minutes

iii) The distance in km of the ship from the lighthouse when the lighthouse is due West of the ship is 29.97 km

To solve this problem, we'll use the concepts of relative velocity and trigonometry. Let's break down the problem into three parts:

i) Finding the original distance when the lighthouse is due West of the ship:

The ship's velocity is given as 21 km/h at a bearing of 052°. Since the ship observed the lighthouse due North, we know that the angle between the ship's initial heading and the lighthouse is 90°.

To find the distance, we'll consider the ship's velocity in the North direction only. Using trigonometry, we can determine the distance as follows:

Distance = Velocity * Time = 21 km/h * (20 min / 60 min/h) = 7 km (to three significant figures).

ii) Finding the time in minutes when the lighthouse is due West of the ship:

To find the time, we need to consider the change in angle from 052° to 312°. The difference is 260° (312° - 052°), but we need to convert it to radians for calculations. 260° is equal to 260 * π / 180 radians. The ship's velocity in the West direction can be calculated as:

Velocity in West direction = Velocity * cos(angle) = 21 km/h * cos(260 * π / 180) ≈ -19.98 km/h (negative because it's in the opposite direction).

To find the time, we can use the formula:

Time = Distance / Velocity = 7 km / (19.98 km/h) = 0.35 h = 0.35 * 60 min = 21 minutes (to three significant figures).

iii) Finding the distance in km of the ship from the lighthouse when the lighthouse is due West of the ship:

We can use the formula for relative velocity to find the distance:

Relative Velocity = sqrt((Velocity in North direction)² + (Velocity in West direction)²)

Using the values we calculated earlier, we have:

Relative Velocity = sqrt((21 km/h)² + (-19.98 km/h)²) ≈ 29.97 km/h (to three significant figures).

Therefore, the ship is approximately 29.97 km away from the lighthouse when the lighthouse is due West of the ship.

For more question on distance visit:

https://brainly.com/question/30395212

#SPJ8

PLEASE HELP————————-

PLEASE HELP-

Answers

I think I know one of them, angles 1 and 5 are vertical

Can you help with this question? I am kinda stuck.

Can you help with this question? I am kinda stuck.

Answers

Answer:

29400 cm²

Step-by-step explanation:

The cube has 6 equal faces.

Total surface area:

S = 6a²S = 6*(0.7 m)² = 6*(70 cm) ² = 29400 cm²

⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️HELP HELP HELP HELP ⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️
Given the function f(x)=x^4 - 3x^2 + x^6 find f(-x) and -f(x)

Answers

Answer: f(-x) = x^4 -3x^2 +x^6

-f(x) = -x^4 +3x^2 - x^6

Step-by-step explanation:

at f(-x), place a negative sign inside the function of x itself:

f(-x)= (-x)^4 -3(-x)^2 +(-x)^6

because the powers are even, they cancel out.

What is the total amount for an investment of $1,250 invested at 9.6% for 12 years and compounded continuously?
A ≈ $3955.64
B ≈ $5006.50
C ≈ $4062.65
D ≈ $6125.25

Answers

Answer A hope that help

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation for the axis of symmetry.
f(x)=-3(x+2)²+1
Use the graphing tool to graph the function as a solid curve and the axis of symmetry as a dashed line.

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation

Answers

The equation of the axis of symmetry will be x = -2 and the curve is drawn below.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

Let the point (h, k) be the vertex of the parabola and a be the leading coefficient.

Then the equation of the parabola will be given as,

y = a(x - h)² + k

The equation is given below.

y = -3(x + 2)² + 1

The equation of the axis of symmetry will be given as,

x + 2 = 0

x = - 2

The equation of the axis of symmetry will be x = -2 and the curve is drawn below.

More about the equation of the parabola link is given below.

https://brainly.com/question/20333425

#SPJ1

Sketch the graph of the quadratic function and the axis of symmetry. State the vertex, and give the equation

Please help me it’s due at 5

Please help me its due at 5

Answers

Answer:

Emi o di un gruppo che ha visto

convert 0.75 in fraction form

Answers

3/4 is the answer, give me brainliest please lol

Answer:

3/4

Step-by-step explanation:

0.75

multiply the numerator and denominator by 100.

0.75 x 100 / 1 x 100 = 75/100

75/100

Simplify 75/100

=> 3/4

hope this helps!! p.s. i really need brainliest :)

Does anyone know the answer to 233x282/34+1243

Answers

Answer:

\(51\frac{579}{1277}\)

Step-by-step explanation:

\(\frac{233(282)}{34+1243}\)

\(=\frac{65706}{1277}\)

\(=51\frac{579}{1277}\)

Answer: 3175.52941176

Step-by-step explanation:

It is a repeating decimal so i cant put the whole answer.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Solve for x. Round to the nearest tenth of a degree, if necessary.

Answers

Answer:

x ≈ 56.6°

Step-by-step explanation:

using the cosine ratio in the right triangle

cos x = \(\frac{adjacent}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{4.4}{8}\) , then

x = \(cos^{-1}\) ( \(\frac{4.4}{8}\) ) ≈ 56.6° ( to the nearest tenth )

Natalya designed a patio for her backyard. The two brick
sections will be the same size and concrete fills the rest of
the patio. Her design and the scale she will use to build
the patio are both shown below.
The concrete portion of the patio will cost $3 per square
foot to construct and the brick portion of the patio will
cost $6 per square foot to construct.
How much will Natalya spend constructing the patio with
concrete and brick?
Scale
1 cm = 4 ft.
A
B
6 cm
$432
$648
Brick
Concrete
6 cm
3 cm
Brick
3 cm
OPTIONS

A
$432
B
$648
C
$2,160
D
$3,024

Natalya designed a patio for her backyard. The two bricksections will be the same size and concrete fills

Answers

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

Learn more about the area;

https://brainly.com/question/1658516

#SPJ1

RELATING CONCEPTS For Individual or Group Work (Exercises 105-108)

A manufacturer has fixed costs of $1000 to produce gizmos. Each gizmo costs $5 to

make. The fixed cost to produce gadgets is $750, and each gadget costs $3 to make.

Work Exercises 105-108 in order.

105. Write an expression for the cost to make x gizmos. (Hint: The cost will be the sum

of the fixed cost and the cost per item times the number of items.)

106. Write an expression for the cost to make y gadgets.

107. Write an expression for the total cost to make x gizmos and y gadgets.

108. Simplify the expression from Exercise 107.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Fixed cost to produce gizmo = $1000

Cost to produce each gizmo = $5

Fixed cost to produce gadget = $750

Cost to produce each gizmo = $3

A.) Expression to make x gizmo:

Fixed cost + 5x

$1000 + 5x

B.)Expression for cost of making y gadget:

Fixed cost + 3y

$750 + 3y

C.) Cost of making x gizmo and y gadget :

($1000 + 5x) + ($750 + 3y)

D.) $1750 + 5x + 3y

Question Jo Agri-Small Business limited expenses on petrol for their fleet is R 4850,00 at the end of September and they have a balance of R106 360,00 remaining in their account. The company has used 25% of its September income on Salanes, 11% on electricity, rates and taxes, and 42% of the remaining on Insurance and investments. The total income and expenditure in September are g. income is R193.236,00 and expenditure is R. 4.850,00 b. income is R 106360,00 and expenditure is 2299 596, 00 c. income is R106 360,00 and expenditure is R 4850,00 d Income is R299596,00 and expenditure is R193 236,00​

Answers

The total income and expenditure of Agri-small business limited in September is R 299596 and expenditure is R 193236.

How to find the Expense?

We have to find the total income and expenditure in September.

The equation for insurance is mathematically given as :

Insurance = 42% of the balance

Insurance=0.42*0.64A

Insurance=0.2688A.

Total expenditure after all other expenditures = 0.64A-0.2688A

Total expenditures after all other expenditures = 0.3712A.

Total expenditures after all other expenditures is as 111210 (106360 +4850)

Equating both the equation and value:

111210 = 3712 A

A = 299596

Thus The total income is 299596.

Therefore the calculation of expense is given as:

Expense=0.25A+0.11A+0.2688A+4850

Expense=0.6288A+4850

=0.6288*299596+4850

=193236

The expense is 193236.

Hence, the total income and expenditure in September are "Income is R 299596 and expenditure is R 193236.

Learn more about income at;

brainly.com/question/25745683

#SPJ1

a man gets a job with a salary of 40000 dollars a year. he is promised a 2090 dollars raise each subsequent year. his total earning for a 8-year period is dollars.

Answers

Total earnings for an 8-year period is - 378520 dollars.

The salaries, year by year, can be written in a sequence

           40000,  40000 + 2090 , 40000 + 2(2090)......

which is an arithmetic sequence, with

                         a=40,000  , d=2090

and the general term

                        \(a_{n}\) = 40000 + 2090 (n - 1)

gives the salary at the beginning of year n.

Recall that for the arithmetic sequence,

              \(a_{n}\) = \(a + (n - 1 )d\)

the nth partial sum is given by either of the equivalent formulas:

              \(S_{n} = \frac{n}{2} [2a + (n - 1 )d ]\)

we find \(S_{8}\) = the sum of the first 8 salaries:

            \(S_{n} = \frac{8}{2} [2. 40000 + (8 - 1 )2090 ]\)

                 = 4 [ 80000 + 7 × 2090 ]

                 = 4 [ 80000 ++ 14630 ]

                 = 4 × 94630

                 = 378520

So, total earnings for an 8-year period is - 378520 dollars.

Read more about the arithmetic sequence :

https://brainly.com/question/27902540

#SPJ4

nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect?

Yes, at positive x-coordinates
Yes, at negative x-coordinates
Yes, at negative and positive x-coordinates
No, they will not intersect

nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect?Yes, at

Answers

Yes, It intersect at positive x-coordinates.

What is Equation of line?

The equation of line in point-slope form which passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, Slope (m) = (y₂ - y₁) / (x₂ - x₁)

Given that;

The function f (x) is defined in graph.

Now, The function g (x) is defined as,

⇒ y - 5 = (10 - 5) / (2 - 1) (x - 1)

⇒ y - 5 = 5 (x - 1)

⇒ y - 5 = 5x - 5

⇒ y = 5x

Clearly, By the graph of functions f (x) and g (x), both intersect at positive x - coordinate.

Learn more about equation of line visit:

https://brainly.com/question/18831322

#SPJ9

nellie is analyzing a quadratic function f(x) and a linear function g(x). will they intersect?Yes, at

Becky tells her friend about the Rule of 72 and her friend immediately
tries it out with her own example. Becky doesn't see all of her friend's
math but does see f(4) = 18 written on her friend's paper.

a. What do you know about the friend's investment based on this?

b. Is the friend's math correct based on the rule of 72?

Answers

Answer:

  a. the investment earns 4%

  b. yes

Step-by-step explanation:

The "rule of 72" says that an investment earning compound interest at x% will double in value after 72/x years. That is, ...

  f(x) = 72/x

__

a.

We interpret f(4) to mean Becky's friend is interested in the doubling time for an investment that earns 4% interest.

__

b.

Using the above formula, ...

  f(4) = 72/4 = 18

The friend's math is correct.

An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil to marker ratio of 5 to 2. Complete the table for the missing number of colored pencils, markers, or total number of colored pencils and markers in each box for sale.​

Answers

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

How to complete the table of ratios?

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

2 markers, 5 pencils.4 markers, 10 pencils.6 markers, 15 pencils.

box B

3 markers, 4 pencils.6 markers, 8 pencils.

Learn more about pencils in: https://brainly.com/question/20606782

#SPJ1

An art supplies store sells boxes that contain colored pencils and markers. Each box has a colored pencil

imagine that you have a tennis ball and a baseball at different locations. the center of the tennis ball is at <-3,-1,0>m, and the center of the baseball is at <3,5,0>m. the position vector of the baseball is . the position vector of the tennis ball is . the position vector of the tennis ball relative to the baseball is . which of the following images best corresponds to the described geometry?

Answers

So, the two balls are located on the same plane, the x-y plane, with the baseball at <3,5,0>m and the tennis ball at <-3,-1,0>m, with the vector pointing from baseball to the tennis ball is <-6,-6,0>m.

The position vector of the baseball is <3,5,0>m. The position vector of the tennis ball is <-3,-1,0>m.

The position vector of the tennis ball relative to the baseball is the vector pointing from the baseball to the tennis ball and it is calculated by subtracting the position vector of the baseball from the position vector of the tennis ball: <-3,-1,0>m - <3,5,0>m = <-6,-6,0>m

So the two balls are located on the same plane, the x-y plane, with the baseball at <3,5,0>m and the tennis ball at <-3,-1,0>m, with the vector pointing from baseball to the tennis ball is <-6,-6,0>m.

To learn more about Position Vector

Visit; brainly.com/question/14552074

#SPJ4

8. The first three terms of a geometric sequence are ( x-6), 3x, and y. If the common ratio is 6, then the value of y is.

Answers

Answer:

The value of y is 216

(and the value of x is 12)

Step-by-step explanation:

The general formula for a geometric sequence is,

\(a_n = a_1(r)^{n-1}\)

Where n represents the nth term, a_1 is the first term and r is the common ratio,

we see that,

r = 6,

the first term is,

a_1 = (x-6)

the 2nd term is,

a_2 = 3x,

the 3rd term is,

a_3 = y, finding y,

first we find x, using the above given formula we have,

\(a_2 = a_1(6)^{2-1}\\3x = (x-6)(6^1)\\3x = 6x -36\\36 = 6x - 3x\\36 = 3x\\x=36/3\\x=12\)

x = 12,

Now, for y we can use the relation between a_3 and a_2,

\(a_3 = a_1(6)^{3-1}\\y = (x-6)(6)^2\\y = (12-6)(6^2)\\y = 6(6^2)\\y = 6^3\\y = 216\)

y = 216

John believes that height is related to leadership and specifically hypothesizes that the taller one is, the more other people look to that person as a leader. To test this hypothesis, he randomly selects a sample of 50 people, and measures their height and perceived leadership potential (both quantitative measures). This is a ______ hypothesis and will result in a(n) _______ -tailed test

Answers

Answer:

This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.

Step-by-step explanation:

The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis.  This is why the null and alternative hypotheses must be established before the statistic test is carried out.   If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.

Expressed in simplest a + bi form, (7-3i) + (x - 2i)² - (4i + 2x²) is

Answers

Therefore, the expression (7-3i) + (x - 2i)² - (4i + 2x²) in the simplest a + bi form is: -2x² - 1 - (4x + 7i)

What are the different forms of linear equation?

Linear Equation                   General Form                    Example

Slope intercept form             y = mx + b                            y + 2x = 3

Point–slope form                   y – y1 = m(x – x1 )              y – 3 = 6(x – 2)

General Form                            Ax + By + C = 0               2x + 3y – 6 = 0

Intercept form                        x/a + y/b = 1                 x/2 + y/3 = 1

As a Function f(x) instead of y      f(x) = x + C                         f(x) = x + 3

The Identity Function                      f(x) = x                     f(x) = 3x

Constant Functions                      f(x) = C                       f(x) = 6

Let's start by expanding the square term (x - 2i)² using the formula for (a + b)²:

(x - 2i)² = x² - 4xi + 4i²

Note that i² = -1, so we can simplify this expression to:

(x - 2i)² = x² - 4xi - 4

Substituting this expression and the given values into the original expression, we get:

(7 - 3i) + (x² - 4xi - 4) - (4i + 2x²)

Grouping the real and imaginary terms, we get:

(7 - 4 - 2x²) + (-3i - 4i - 4x) + (x²)

Simplifying the real part, we get:

-2x² - 1

Simplifying the imaginary part, we get:

-7i - 4x

Learn more about Linear equations here:

brainly.com/question/11897796

#SPJ1

Determine which of the following transformations are linear transformations
A. The transformation T1
defined by T1(x1,x2,x3)=(x1,0,x3)
B. The transformation T2
defined by T2(x1,x2)=(2x1−3x2,x1+4,5x2)
.
C. The transformation T3
defined by T3(x1,x2,x3)=(x1,x2,−x3)
D. The transformation T4
defined by T4(x1,x2,x3)=(1,x2,x3)
E. The transformation T5
defined by T5(x1,x2)=(4x1−2x2,3|x2|)
.

Answers

The transformation T1 defined by T1(x1,x2,x3)=(x1,0,x3) is linear transformation among the five given questions.

A linear transformation satisfies two properties: additivity and homogeneity. That is, for any vectors u and v, and any scalars a and b:

T(u + v) = T(u) + T(v)

T(au) = aT(u)

Using these properties, we can determine which of the given transformations are linear transformations:

A. The transformation T1 defined by T1(x1,x2,x3)=(x1,0,x3)

T1(u+v) = (u1+v1, 0, u3+v3) = (u1, 0, u3) + (v1, 0, v3) = T1(u) + T1(v)

T1(au) = (au1, 0, au3) = a(u1, 0, u3) = a*T1(u)

Therefore, T1 is a linear transformation.

The transformation T2 defined by T2(x1,x2)=(2x1−3x2,x1+4,5x2)

T2(u+v) = (2(u1+v1)−3(u2+v2), u1+v1+4, 5(u2+v2))

= (2u1−3u2, u1+4, 5u2) + (2v1−3v2, v1+4, 5v2) = T2(u) + T2(v)

However, T2 does not satisfy homogeneity property. Consider a = -1 and u = (1, 1):

T2(-u) = (-2, 5, -5)

-1*T2(u) = (-2, -5, -5)

Therefore, T2 is not a linear transformation.

The transformation T3 defined by T3(x1,x2,x3)=(x1,x2,−x3)

T3(u+v) = (u1+v1, u2+v2, -(u3+v3)) = (u1, u2, -u3) + (v1, v2, -v3) = T3(u) + T3(v)

T3(au) = (au1, au2, -au3) = a*(u1, u2, -u3) = a*T3(u)

Therefore, T3 is a linear transformation.

The transformation T4 defined by T4(x1,x2,x3)=(1,x2,x3)

T4(u+v) = (1, u2+v2, u3+v3) ≠ (1, u2, u3) + (1, v2, v3) = T4(u) + T4(v)

T4(au) = (1, au2, au3) ≠ a(1, u2, u3) = a*T4(u)

Therefore, T4 is not a linear transformation.

The transformation T5 defined by T5(x1,x2)=(4x1−2x2,3|x2|)

T5(u+v) = (4(u1+v1)−2(u2+v2), 3|u2+v2|)

= (4u1−2u2, 3|u2|) + (4v1−2v2, 3|v2|) ≠ T5(u) + T5(v)

T5(au) = (4au1−2au2, 3|au2|) ≠ a*T5(u)

Therefore, T5 is not a linear transformation.

To know more about Linear transformation:

https://brainly.com/question/17151779

#SPJ4

Helpppp for a math exammm

Helpppp for a math exammm

Answers

Answer:

2. angle A is congruent to angle X

Step-by-step explanation:

Is square root of 11+10 a rational or irrational number

Answers

Answer:

Irrational Number is the answer

Answer:

\( \sqrt{11 + 10} = \sqrt{22} = 4.69041576 \)

THIS IS IRRATIONAL

Step-by-step explanation:

The correct answer is irrational and the reason for that is the decimals for sqrt of 22 are non-recurring, are non-terminating and lastly it cannot be expressed in a form of a fraction.

I hope this makes sense

:)

a circular pizza with a diameter of 8 inches. The pizza is in a square box with side lengths of 8 inches. In square inches, how much of the box is empty?
Use π = 3.14 and round your answer to the nearest hundredth.

Answers

Step-by-step explanation:

13.70 square inches of the box is empty

Pls do it plz plz plz DO IT THE NOW!!!!

Pls do it plz plz plz DO IT THE NOW!!!!

Answers

Answer:

(2 , 30)   & (4, 60)

Step-by-step explanation:

y = 15x

When x = 2 , y = 15*2 = 30

When x = 4 ;   y = 15 *4 = 60

Other Questions
just number 15 please widely spaced contour lines indicate a a. steep slope c. hill b. gentle slope d. river A buffer is 0.10 M in NH3 and 0.10 M in NH4Cl. What is the pH of the solution after the addition of 10.0 mL of 0.20 M of HCl to 100.0 mL of the buffer Can someone please explain how to do this??11 - (-2) + 14 Many economists believe that the trend toward greater wage inequality across the U.S. economy was primarily causedbyA the recessionB) new technologiesC the rise of global marketsD) inflatio A student uses 2.80g of iron to make 12.5g of hydrated iron(ii) sulfate crystals. this is a 90% yeild. calculate the mass of hydrated iron (ii) sulfate crystals made from 2.8g of iron if the yeild is 100%. Ellen Cooper is a customer service representative at the Rink Corporation. She needs a benefit plan from her employer that is tax-free and will enhance her ability to pay for uncovered health care expenses. Ellen should take advantage of her company's Multiple Choice flexible spending accounts. cafeteria-style plans. defined benefit plans. defined contribution accounts. retirement accounts. What was the mission of the Bonus Army in 1932?They were hired to stop veterans from marching on Washington, DC.They were enlisted to keep people from migrating during the Dust Bowl. They demanded that the government enforce Hoovers reforms.They demanded payment of bonuses promised to veterans. 20. with their partcipation in slavery. how does philip freneau's poem describe european government? what words reveal the poet's view of european government? what does the last stanza suggest about the new country and the old system of government? cite textual evidence to support your answer. Do you believe that people can truly be "the master of [their] fate"? Is there really nosuch thing as destiny? Cite evidence from this text, your own experience, and otherliterature, art, or history in your answer.THE TEXT is in the photo- based on sarah's reply, she feels that her needs at which level of maslow's hierarchy are not being met? self-actualization physiological safety love/belonging I need help with slopes!! The Green Revolution in South AsiaA. had little effect on crop yields.B. relied in part on newly developed varieties of crops.C. originated in the early 1950s.D. was accomplished without the use of pesticides.E. has been a total success. According to the graph, at which time during a sunny summer day are theparticles in a swimming pool likely to be moving the most quickly?A. 6:00 p.m.B. 11:00 p.m.C. 5:00 a.m.D. 8:00 a.m. il. Janelle prepared 3 chocolate cakesand 5 white cakes for a birthdayparty. At the party, 2 of thechocolate cakes and 3 of the whitecakes were eaten. Janelle and herfamily later ateof the cakes leftover. What fraction of each of thecakes is still left? Match the following terms and definitions.1. a technique that uses rewards to increase a learned behavior2.a theory that behavior evolves to promote the greatestfitness for the animallong-term hormonal influences on animal behavior usuallyoccurring early in life4. learning a behavior by observing and watching others3.organizational effectssocial learningoperant conditioningoptimality theory Suppose a single electron orbits about a nucleus containing two protons (+2e), as would be the case for a helium atom from which one of the two naturally occurring electrons is removed. The radius of the orbit is 2.65 10-11 m. Determine the magnitude of the electron's centripetal acceleration.? m/s2 HELPPP!! Which describes one feature of the image formed by a convex mirror? same size as the objecta real imageupside downright side up The first person to perfect interchangeable flintlock parts intended for mass production was:______. Question 15(Multiple Choice Worth 3 points)(06.02 MC)Wally has a hobby. He likes making furniture. He finds that he gets many compliments on the furniture he makes. Under whatconditions will it be in Wally's best interest to go to a craft fair and sell some of his custom furniture?O If the cost of making the furniture is less than the price Wally believes he will be able to sell it forO If many people from the area attend whom Wally thinks might want custom furnitureOlf Wally believes he will only be able to sell the furniture for less than the cost of the materials he used to make itO If Wally determines that the demand for custom furniture is lowP