Find the matrix A representing the reflection about the line L in R^2 which consists of all scalar multiples of the vector [6 3]. A = []

Answer:

The mean cost of a five pound bag of shrimp is 40 dollars with a standard deviation of 8 dollars.

Step-by-step explanation:

a sample of 49 bags of shrimp is randomly selected, what is the probability that the sample mean would be less than 37.4 dollars? Round your answer to four decimal places.

The value of the angle U from the calculation is 88 degrees.

The sine rule can be applied in a variety of situations, such as determining a triangle's unknown side lengths or angles. The sine rule can be used to locate the missing side or angle if you know the lengths of two sides and the measure of an angle (not necessarily the included angle).

By the use of the sine rule;

u/Sin U = w/Sin W

Thus;

76/Sin U = 71/Sin 69

Sin U = 76Sin 69/71

U = Sin-1 (76Sin 69/71)

U = 88 degrees

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Answer:

To evaluate a variable expression means to find the value of the expression when the variable is (or variables are) replaced by a number (or numbers).

Here is a variable expression: 3x+7.

To evaluate this expression when x=2 mean to substitute 2 in place of x, and find the number (the value). [see note below]

3(2)+7=6+7=13.

When x=2, the expression has a value of `13.

If we evaluate the same expression when x=10, we get:

3(10)+7=30+7=37.

Here's a variable expression with two variables : 3x−2y

In order to evaluate this expression, we'll need values (numbers) for both x and y.

Evaluate the expression 3x−2y when x=4 and y=5

3(4)−2(5)=12−10=2

If we change the values to x=5 and y=4, we get

3(5)−2(4)=15−8=7.

Note:

To avoid saying exactly the same thing over and over, we use the following to mean the same thing:

evaluate the expression when x=2

evaluate the expression for x=2

evaluate the expression at x=2

evaluate the expression assuming x=2

evaluate the expression if x=2

Also

If there is only one variable in an expression, we don't always need to mention it:

evaluate the expression for 2

evaluate the expression at 2

c. $1,293.40 is the Santos's monthly Social Security benefit, after delaying collecting for 2 years.

If Santos delays collecting his Social Security benefits for 2 years, he will be eligible for delayed retirement credits. The amount of the increase depends on his birth year and the specific rules in place at the time. As of my knowledge cutoff in September 2021, for individuals born in 1943 or later, the delayed retirement credit is 8% per year for each year of delay beyond full retirement age.

Assuming Santos's original benefit at full retirement age was $1,115.00, we can calculate the increase after a 2-year delay:

Increase = Original Benefit * (Delayed Retirement Credits per year * Number of years of delay)

Increase = $1,115.00 * (0.08 * 2)

Increase = $1,115.00 * 0.16

Increase = $178.40

To calculate Santos's monthly Social Security benefit after the 2-year delay, we add the increase to his original benefit:

New Benefit = Original Benefit + Increase

New Benefit = $1,115.00 + $178.40

New Benefit = $1,293.40

Santos's monthly Social Security benefit, after delaying collecting for 2 years, would be approximately $1,293.40. Therefore, Option c is correct.

The question was incomplete. find the full content below:

Calculate Santos's monthly Social Security benefit if he delays collecting for 2 years and his original benefit at full retirement age was $1,115.00.

a. $1,156.90

b. $1,209.35

c. $1,293.40

d. $1,315.50

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Two consecutive number between \(2 \frac{3}{10}\) and \(4 \frac{1}{2}$\) are 3 and 4.

Composite number are those number which follow a particular sequence whether it is normal, even, odd or any other sequence.                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                         AP) is the best method to identify whether the number are consecutive or not.

So here, we can write as \(\frac{23}{10}=2.3[/t\)                                                                                                                                                                                                                                                                                         ex] and we can write \(\frac{1}{2}\) as \(frac| {9}{2}=4.5\)

So, two composite number are 3 and 4.

Arithmetic Progression, (AP) A sequence can called in as AP when the difference between them are common which means the each previous is differ from its preceding one by a constant quantity.

\(a_n=a_1+(n-1) * d\) where, \(a_1=\) first termed= common difference \(a_n=\) term in the sequence

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Answer:

A

Step-by-step explanation:

Using the properties of logarithms, we can simplify the expression:

4 log3x + 6 log3y - 7 log3z = log3x^4 + log3y^6 - log3z^7

Now, we can use another property of logarithms, which states that:

loga (mn) = loga m + loga n

Using this property, we can combine the logarithms with addition or subtraction:

log3x^4 + log3y^6 - log3z^7 = log3(x^4 * y^6 / z^7)

Therefore, the simplified form of 4 log3x + 6 log3y - 7 log3z is log3(x^4 * y^6 / z^7).

The required length of the other piece of the board is  12.3 meters.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,

To find out the length of the other piece we need to subtract the length of one piece from the original length of the board,
So,
Length of the other piece = 19.5 - 7.2 meters
                                        = 12.3 meters

Thus, the required length of the other piece of the board is  12.3 meters.

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Answer:

correct choice is the last one

Step-by-step explanation:

let h = cost of 1 hamburger meal

let c = cost of 1 chicken nugget meal

5h + 6c = 39

9h + 2c = 35

If Colah Company purchased $2,000,000 of Jackson, Inc., 6% bonds at par on July 1, 2021. The journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

Journal entry is used by companies to record their day to day business transaction.

July 1 2021

Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000

December 31 2021

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

December 31 2021

Debit Available-for-sale securities $300,000

Unrealized Gain - Other comprehensive income $300,000

($2,000,000 - $2,300,000)

June 30 2022

Debit Cash $60,000

Credit Interest income  $60,000

(6% ×$2,000,000 / 2)

The entry necessary upon sale of the Jackson bonds on July 1, 2022 is:

July 1 2022

Debit Available-for-sale securities  $2,300,000

Unrealized Gain-Other comprehensive income account $300,000

Credit Cash $1,800,000

Credit Realized Loss on the sale of Available-for-sale securities $200,000  

[$1,800,000 - $2,000,000= $200,000 (Realized Loss)]

2. Table to show the effect of the Jackson bonds on Colah’s net income,

                             2021                   2022                       Total

Net Income       $60 ,000        ($140,000)              ($80,000)

( 60,000 - $200,000= -$140,000)

OCI                       $300,000                                         $300,000

Comprehensive Income $360,000 ($140,000) $220,000

Therefore the  journal entries for the purchase of the Jackson bonds on July 1 is: Debit Available-for-sale securities $2,000,000

Credit Cash $2,000,000.

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The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even. so the correct option is D.

Natural numbers are: 1, 2, 3, ....

Integer numbers are: ...., -2, -1, 0, 1, 2, ... (so it includes positive and negative natural number, and 0 )

Rational numbers are numbers which can be written in the form of a/b  

where a and b are integers.

Irrational numbers are those real numbers which are not rational numbers.

Here, Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

A composite number is a number divisible by another number than 1 and the number itself.

To find example, a sum of two composite numbers, which is not a composite number, is needed.

The statement that correctly written as a conditional statement is; A number, such as 10, is a composite number because it is even.

Hence so the correct option is D.

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A three-person jury can be selected from a pool of eleven people in 165 ways.

For the given question;

The total number of person in the pool = 11.

The number of jury selected = 3.

Thus, the combination will be ⁿCₓ.

Where, n = 11 and x = 3.

¹¹C₃ = 11!/3!(11 - 3)!

Simplifying;

¹¹C₃ = 165

Thus, the number of ways in which three jury can be selected from 11 pool of members is 165.

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The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Trapezium T is reflected across line x = 3 to form trapezium U and reflected across line x = 7 to form tralpelzium V

The figure is attached

Reflection across a line is a geometric transformation which mirrors a point, shape or figure exactly across a pre-defined plane known as the Line of Reflection.

In other words, the size and general outline are kept in tact while orientations are adjusted. Furthermore, each corresponding point on either side of the Line of Reflection is found to be equidistant from the said axis and lies along a perpendicular line.

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Answer:

0.23

Step-by-step explanation:

Answer:

0.23

Step-by-step explanation:

Hi dear so It is spelled Divided and Estimated.

Answer:

meter - yard

kilogram - 2 pounds

liter - quart

Answer:

Clock

Step-by-step explanation:

The answer is Clock because the time changes from AM to PM and there are many things inside that cause it to work.

We need two sides and one angle of a triangle DBA is equal to the two sides and one angle of a triangle CBA, to prove triangle DBA is congruent to triangle CBA.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle DAC is isosceles.

Now,

We need to prove triangle DBA is congruent to triangle CBA by the Side-Angle-Side Triangle congruence theorem.

Here, Triangle DAC is isosceles.

So, Two sides of Triangle DAC are equal.

Let Measure of DA = measure of AC

Now, triangle DBA is congruent to triangle CBA by the Side-Angle-Side Triangle congruence theorem as;

The Measure of DA = measure of AC

And, BA is common side in both triangles.

We need only one angle in triangle CBA is equal to the measure of an angle DBA.

Here, The Measure of DA = measure of AC

So, ∠DAB = ∠DBC

Thus, We need two sides and one angle of a triangle DBA is equal to the two sides and one angle of a triangle CBA, to prove triangle DBA is congruent to triangle CBA.

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The height of the triangle is √(115) - 1 inches and the width is (1 + √(115)) / 6 inches.

Let's begin by assigning variables to the height and width of the triangle. We'll use h for height and w for width.

From the problem statement, we know that the area of the triangle is 184 square inches:

Area = (1/2) * base * height

where the base is equal to the width. We can rearrange this formula to solve for the height:

height = 2 * Area / base

Since the area is given as 184 square inches and the base is equal to the width, we can write:

h = 2 * 184 / w

We also know that the height is two less than six times the width. Writing this as an equation, we have:

h = 6w - 2

Now we can substitute the expression for h from the second equation into the first equation:

2 * 184 / w = 6w - 2

Multiplying both sides by w gives:

2 * 184 = w * (6w - 2)

Expanding the right side gives:

2 * 184 = 6w² - 2w

Simplifying further gives:

6w² - 2w - 368 = 0

This is a quadratic equation that we can solve using the quadratic formula:

w = (-b ± √(b² - 4ac)) / 2a

where a = 6, b = -2, and c = -368. Plugging in these values gives:

w = (2 ± √(2² - 4 * 6 * (-368))) / 2(6)

Simplifying further gives:

w = (1 ± √(115)) / 6

Taking the positive value gives:

w = (1 + √(115)) / 6

Plugging this value back into either equation for h gives:

h = 6w - 2 = 6((1 + √(115)) / 6) - 2 = 1 + √(115) - 2 = √(115) - 1

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Answer:

Pythagoras invented it

Step-by-step explanation:

a theorem attributed to Pythagoras that the square of the hypotenuse of a right triangle is equal to the sum of the squares of the other two sides.

Answer:

n = 0.0224

Step-by-step explanation:

The given expression is :

92n = 404n-7

We need to solve it for n.

Subtract 92n from both sides,

92n-92n = 404n-7-92n

7 = 404n-92n

7 = 312 n

n = 0.0224

So, the value of n is equal to 0.0224.

The total distance covered by Jeremy is 1320 m

What is a line segment ?

A line segment in geometry is bounded by two separate points on a line. Another way to describe a line segment is as a piece of the line that joins two points. A line segment has two fixed or distinct endpoints while a line has no endpoints and can stretch in both directions indefinitely.

For sapling 1 = No distance is covered.

For sapling 2, distance covered = 10 m

Return distance=10 m

For sapling 3, distance covered =20 m

Return distance=20 m and so on

Thus the distances covered for saplings can be represented as : 0,2(10), 2(20),...i.e. 0,20, 40,...

Therefore total distance covered by Jeremy for planting 12 saplings and coming back to original position = S 12

Total distance covered = 122 [2(0) + (12 − 1) 20 ]

Total distance covered = 6 (11)(20) = 1320 m

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Complete question:

There are 12 saplings to be planted in a straight line at an interval of 10 m between

two consecutive saplings. Jeremy can carry only one sapling at a time and he has to

come back to the original point to take the next sapling. He plants 12 saplings in this

manner, planting the first sapling at the original point. After planting all the saplings,

he comes back at the original point,

In the process, what is the total distance that Jeremy covers?

​

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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Answer:

1. First box, the missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 30%

3. For 7/10

Percentage = 70%

Step-by-step explanation:

From the question given above, the following data were obtained:

The strip is divided into 10 equal parts.

1. For the first box:

The missing fraction = 1/10

2. For the 2nd box

a. The missing fraction = 3/10

b. Percentage = 3/10 × 100 = 30%

3. For 7/10

Percentage = 7/10 × 100 = 70%

Number of People who knows the Code are 6401

What is Linear Equation in Two Variable?

A linear equation in two variables is one that is stated in the form ax + by + c = 0, where a, b, and c are real integers and the coefficients of x and y, i.e. a and b, are not equal to zero.

Solution:

Let, Number of People who kows the Code be x

Number of Peoplee who do not know the Code be y

According to the Question:

x + y = 7338 ----------(i)

2x + 5y = 17487 ----------(ii)

Multiplying Equation (i) by 2

2x + 2y = 14676 ---------(iii)

Substracting Equation (iii) from Equation (ii)

3y = 2811

y = 937

This means x = 6401

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27/20000 is  the rate as a fraction in simplest form.

In math, what is a fraction?

Which fraction types are there?

270 robberies per 200,000 residents in fraction form = 270/200000

                                                                                          = 27/20000

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The algebraic expression for Desmond's height is x + 5.

If we let "x" represent Niki's height in inches, then Desmond's height can be represented by "x + 5", since Desmond is 5 inches taller than Niki.

So the algebraic expression for Desmond's height is x + 5.

Algebraic expressions is consist of variables, numbers, and mathematical operations (such as addition, subtraction, multiplication, and division).

They can contain one or more variables and can be evaluated for different values of the variables.

For example, the expression 3x + 5y - 2z is an algebraic expression that contains three variables (x, y, and z) and three coefficients (3, 5, and -2) that are multiplied by those variables. Algebraic expressions are commonly used in algebra to represent mathematical relationships and solve problems.

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The image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)

The given parameters are

Point = (1, -4)

Transformation: 180∘ counterclockwise about the origin

The rule of 180∘ counterclockwise about the origin is

(x, y) = (-x, -y)

When this rule is applied to the given point, we have the image to be

Image = (-x, -y)

This gives

Image = (-1, 4)

Hence, the image of the point after a 180∘ counterclockwise rotation about the origin is (-1, 4)

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The period of some number of  consecutive days during which the team must  play exactly 14 games should be that 2 games plays at  these days  1,5,10,15,20,25,30 individually....

As there are 30 days in a month.

So we have to arrange these 14 games during this time period of 30 days,

Which will be arranged as:

suppose its 1 st month of 2023,

So,

2 games at day  =    1/1/2023

2 games at day   =    5/1/2023

2 games at day   =    10/1/2023

2 games at day   =    15/1/2023

2 games at day   =    20/1/2023

2 games at day   =    25/1/2023

2 games at day   =    30/1/2023  

So from here we conduct:

2+2+2+2+2+2+2=  14 games

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