Triangle ABC is congruent to Triangle A’B’C’. Describe a sequence of transformations on triangle ABC that would result in triangle A’B’C’.

Answer:

Not exactly sure what your asking but 11/3 as a mixed number is 3 2/3

Answer:

3 2/3 is the simplified version of 11/3

Step-by-step explanation:

Step-by-step explanation:

each dot represents one student's answer about how many siblings he/she has.

1a.

1 (1 dot above 6)

b.

no siblings means 0 siblings.

3 (3 dots above 0)

c.

we need to sum up all dots above 3, 4, 5 and 6 (3 and more siblings).

11 (6+4+0+1 dots above 3, 4, 5, 6)

2.

same thing. this time exery "x" is for a single student with that resting pulse (rate).

a.

the range of a set of data is the difference between the largest and smallest values. in other words, it is the result of subtracting the minimum from the maximum of the given set of data.

maximum = 85

minimum = 79

the range = 85 - 79 = 6

b.

over 81 means 82, or 83, or 84, or 85 out of our given data set.

we need to sum up all "x" above 82, 83, 84, 85.

9 (3+4+0+2 "x" above 82, 83, 84, 85).

c.

4 (4 "x" above 83).

1.

a. One student have 6 siblings

b. 3 students have no siblings.

c. 11  students have three or more siblings.

2

a. The range of the pulse rates is 6.

b.  One boy  had a pulse rate over 81.

c. Four boys  had a pulse rate of 83.

1. Given that  students in one social studies class were asked how many

brothers and sisters (siblings) they each have.

The dot plot is given.

Each dot represents the number of students.

A numbers on number line represents the number of siblings.

a. One student have 6 siblings as we observe the dot plot there is one dot above six.

b. No siblings means 0.'We have to check for number of dots above 0.

There are 3 dots.

So 3 students have no siblings.

c. We need to add the dots which are at 3 and above 3.

Number of students = 6+4+0+1

=11

2. a. the range of a set of data is the difference between the largest and smallest values.

maximum = 85

minimum = 79

the range = 85 - 79 = 6

b. From the line plot there is only one boy has a pulse rate over 81.

c.  From the line plot there is four boy has a pulse rate over 81.

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A saleswoman earns 3% commission on all the merchandise that she sells. Last month she sold 8000 worth of merchandise. the commission earned last month is  $240

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

3%

= 3 percent

= 3 / 100

= 0.03

The factor 0.71 is added to 1 and multiplied by revenue generated from sales to get the amount earned last month

the addition

= 1 + 0.03.

= 1.03

the multiplication

= 1.03 * 8000

= 8240

The commission earned last month is

= 8240 - 8000

= 240

The commission earned last month = $240

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Step-by-step explanation:

Enter a problem...

Calculus Examples

Popular Problems Calculus Find the Asymptotes f(x)=(2x^2)/(x^2-1)

f

(

x

)

=

2

x

2

x

2

−

1

Find where the expression

2

x

2

x

2

−

1

is undefined.

x

=

−

1

,

x

=

1

The vertical asymptotes occur at areas of infinite discontinuity.

x

=

−

1

,

1

Consider the rational function

R

(

x

)

=

a

x

n

b

x

m

where

n

is the degree of the numerator and

m

is the degree of the denominator.

1. If

n

<

m

, then the x-axis,

y

=

0

, is the horizontal asymptote.

2. If

n

=

m

, then the horizontal asymptote is the line

y

=

a

b

.

3. If

n

>

m

, then there is no horizontal asymptote (there is an oblique asymptote).

Find

n

and

m

.

n

=

2

m

=

2

Since

n

=

m

, the horizontal asymptote is the line

y

=

a

b

where

a

=

2

and

b

=

1

.

y

=

2

There is no oblique asymptote because the degree of the numerator is less than or equal to the degree of the denominator.

No Oblique Asymptotes

This is the set of all asymptotes.

Vertical Asymptotes:

x

=

−

1

,

1

Horizontal Asymptotes:

y

=

2

No Oblique Asymptotes

The odd one out in the set is "FOQZ." It deviates from the pattern  by the other sets, where the letters are arranged in Alphabetical order.

The set of letters "BCDEGPTV AJK FOQZ IY" seems to follow a specific pattern. If we examine the letters in each group, we can identify a difference that sets "FOQZ" apart from the others.

In the first group "BCDEGPTV," the letters are arranged in alphabetical order. Similarly, in the second group "AJK," the letters are also in alphabetical order. However, when we look at the third group "FOQZ," the letters do not follow alphabetical order.

Based on this pattern, we can conclude that the odd one out in the set is "FOQZ." It deviates from the pattern followed by the other sets, where the letters are arranged in alphabetical order.

It's worth noting that the pattern could be based on different criteria, such as the position of the letters in the alphabet or some other sequence. Without additional information or context, it is difficult to determine the exact pattern or reason for the deviation.

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The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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The total bill after the tip, discount, and tax is $37.76.

The total cost of the order is reduced by the coupon and increased by the tax paid and tip.

Total cost of the items bought = cost of the drink + appetizer + Cajun + dessert

$2.99 + $9.99 + $11.50 + $7.99 = $32.47

Value of the tip = 20% x $32.47 = $6.49

Cost of the items after the coupon: (100% - 10%) x $32.47

90% x $32.47

0.9 x $32.47 = $29.22

Cost of the items after the tax: (1.07) x $29.22 = $31.27

Total cost of the items = $31.27 +$6.49 = $37.76

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Answer:

I'm not certain but it's a possibility that the answer is 6.

Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding .

In the question ,

it is given that

At Latrina's wedding

number of  hors d’oeuvres offering that 3 people will get = 8 offering

So, the number of offering of hors d’oeuvres that 1 person will get = 8/3  .

we need to find that

how many hors d’oeuvres will she serve for 240 people .

So ,

the number of  hors d’oeuvres offering that 240 people will get =(8/3)×240

= 8 × 80

= 640

Therefore , Latrina will serve 640 hors d’oeuvres to the 240 people at her wedding  .

The given question is incomplete , the complete question is

Latrina is planning to serve hors d’oeuvres at her wedding. She plans on offering 8 hors d’oeuvres for every 3 people. If she has invited 240 people to the wedding, how many hors d’oeuvres will she serve?

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The number that belongs in the green box using sine rule is 13.96.

The rule of sine or the sine rule states that the ratio of the side length of a triangle to the sine of the opposite angle, which is the same for all three sides.

To calculate the number that belongs in the green box, we use the formula below

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Solve for x

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The value of k in g(x) = 5^x + k is -7

The complete question is added as attachment

The functions are given as:

f(x) = 5^x

g(x) = 5^x + k

From the attached graph, we can see that:

f(x) is shifted down by 7 units to form g(x)

This means that:

g(x)= f(x) - 7

This gives

g(x) = 5^x - 7

Substitute g(x) = 5^x - 7 in g(x) = 5^x + k

5^x + k = 5^x - 7

This gives

k = -7

Hence, the value of k in -7

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The Value of x is 2/3.

The value of x, we need to determine the mean of the given values and set it equal to the expression for the mean.

The mean (average) is calculated by adding up all the values and dividing by the number of values. In this case, we have five values: x, x+3, x-5, 2x, and 3x.

Mean = (x + x+3 + x-5 + 2x + 3x) / 5

Next, we simplify the expression:

Mean = (5x - 2 + 3x) / 5

Mean = (8x - 2) / 5

We are given that the mean is also equal to x:

Mean = x

Setting these two expressions equal to each other, we have:

(x) = (8x - 2) / 5

To solve for x, we can cross-multiply:

5x = 8x - 2

Bringing all the x terms to one side of the equation and the constant terms to the other side:

5x - 8x = -2

-3x = -2

Dividing both sides by -3:

x = -2 / -3

Simplifying, we get:

x = 2/3

Therefore, the value of x is 2/3.

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The slope of the tangent line is:

a = (df(x1)/dx)

The slope of the normal one is:

a' = -1/(df(x1)/dx)

For any function y = f(x), we define the slope of the tangent line at the point x as the derivative evaluated in x.

So if we want to find the slope of the tangent line at the point (x1, y1), we just need to differentiate and evaluate in x1, then the slope will be given by:

df(x1)/dx

And the normal slope is the slope of the perpendicular line, two slopes are perpendicular if the product is -1, then:

a*(df(x1)/dx) = -1

a = -1/(df(x1)/dx)

Where df/dx reffers to the derivative of f(x).

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Answer:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

Step-by-step explanation:

There are 4 triangles. For the exterior and remote interior, I’m naming the angles with three letters.  If your teacher just wants one, it would be the middle one.  (I assume they’ll want all three, since the letters just name points, not angles.)

1) A) Name of triangle: ABO

B) Exterior AngleS: EAO, BOC and AOD

C) Remote Interior Angles: For EAO, it’s ABO and AOB.  For BOC, it’s BAO and ABO. For AOD, it’s BAO and ABO

2) A) Name of triangle: ABC

B) Exterior Angles:EAC

C) Remote Interior Angles: ABO and BCO

3) A) Name of triangle: DOC

B) Exterior Angles: ODH, DOA, COB, and OCG

C) Remote Interior Angles: For ODH, it’s DOC and COD.  For DOA, it’s ODC and DCO. For COB, it’s ODC and DCO.  For OCG, it has CDO and DOC

4) A) Name Of triangle: COB

B) Exterior Angles: AOB, DOC, and OBF

C) Remote Interior Angles: For AOB, it’s OBC and OCB. For DOC, it’s OBC and OCB.  For OBF, it’s BOC and OCB

The median of the data set is 75.80, rounded to two decimal places.

The mean of the data set can be calculated by adding up all the values and dividing by the number of values.

The formula is:

mean = (sum of all values) / (number of values)

For the given data set, mean = (59.8 + 61.4 + 69 + 71.2 + 78.7 + 83.5 + 89.6 + 94.1 + 84 + 75.2 + 79.7 + 83.6 + 74.8 + 74 + 83.3 + 73.8 + 90 + 68.3 + 71.7 + 74.2 + 69.3 + 68.5 + 71.3 + 78.5 + 73.2 + 91.4 + 78.7 + 56.4 + 73 + 65.6 + 69.9 + 73.8 + 80.1 + 78.7 + 75.8 + 66.7 + 79.7 + 66 + 73 + 85.3 + 72.1 + 78.5 + 79.9 + 75.6 + 71.3 + 69.6 + 58.6 + 64.3 + 63.2 + 79.9 + 70.1 + 80.4 + 88.2 + 79.4 + 74.6 + 65.2 + 70.6 + 77 + 73.2 + 81.5 + 83.3 + 77 + 82 + 78.5 + 75.4 + 78.5 + 73.6 + 86.8 + 74.4 + 65.2) / 60 = 6288.6 / 60 = 104.81

So, the mean of the data set is 104.81, rounded to two decimal places.

The median of the data set can be calculated by arranging the values in ascending order and finding the middle value. If there are an odd number of values, the median is the middle value. If there are an even number of values, the median is the average of the two middle values.

For the given data set, the median can be found as follows:

56.4 58.6 63.2 64.3 65.2 65.6 66 66.7 68.3 68.5 69 69.3 69.6 69.9 70.1 70.6 71 71.3 71.7 73 73 73.2 73.6 73.8 74 74 74.2 74.4 74.6 75.2 75.4 75.6 75.8 76.7 77 78 78.5 78.5 78.5 78.7 79 79.4 79.7 79.7 79.9 80.1 80.4 81.5 82 83 83.3 83.3 83.5 83.6 84 85.3 86.8 89.6 90 91.4 94.1

The median is 75.8.

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Answer: The description of that transformation is the triangle is rotated 90 degrees clockwise. Then, it's moved to the right TWICE. Finally, you go down 2 times.

Step-by-step explanation:

Hope this helps :)

triangle B is in dofferent orientation from triangle B so we know it was either mirrored or rotated. Triangle B isnt in the exact opposite orientation as A so we know it wasnt mirrored. So we now know that it was rotated and know we have to find the point of rotation. we can tell that the rotation was 270 degrees anti clockwise since it cant be clockwise because no points of rotation match. since we know triangle A was rotated 270 degrees anti clockwise to get triangle B we cant find the point of rotation by seeing which point works and if we test the points we will see that (0;-1) is the point of rotation. So triangle A was rotated 270 degrees anti clockwise on the point (0;-1) to make triangle B

Answer:

15.4

Step-by-step explanation:

15.39 is closer to 15.40 or 15.4 then 15.30. Thus, the answer here is 15.4.

Answer:

Quadrant V

Step-by-step explanation:

A co-ordinate graph only has 4 quadrants!

Answer:

96

Step-by-step explanation:

I looked this up and I have a feeling ur in my class because I'm doing this rn

Answer:

$ 96

Step-by-step explanation:

(20*120)/100 = $24

120-24= $96

The percentage decrease from 30 to 3 would be = 90%

Percentage of a value can be defined as the representation of part of that value per 100 with a sign of % attached to it.

The value decrease = 30-3 = 27

Therefore the percentage of 30 that make up 27 would be = 27/30 × 100/1

= 2700/30

= 90%

Therefore, in conclusion, the percentage decrease from 30 to 3 = 90%.

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Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

Answer:

64 ft

Step-by-step explanation:

A square has to be equal on all 4 sides for it to be considered a square. Considering that it is 8 feet on one side it would be 8 feet on all the others as well. From there you multiply 8*8 and receive the solution of 84 feet for the area of the garden.

Answer: 40 cm.

Step-by-step explanation: Perimeter involves adding all the sides of a shape to get the perimeter.  So far, two sides of the scrapbook have been given, which are both 37 cm.  37 x 2 = 74, so that leaves us with two sides left, which are the lengths of the scrapbook.  The total perimeter is 154, so if we subtract 74 from 154, we get 80.  However, we have to split the 80 in half because we have two sides left.  Therefore, the scrapbook's length is 40 cm for one side.  I hope this isn't too confusing.

Have a great day! :)

Answer:

1.78f

Step-by-step explanation:

7/4=1.78 and then you add f

The equation that best describes the relation is y = -x+1 ( optionD)

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept.

Taking x(0,1) and y ( 1,0)

therefore the slope of the line

= 0-1/1-0

= -1/1 = -1

the equation a line is given as

y-y1 = m(x-x1)

= y-1 = -1( x - 0)

= y-1 = -x

y = -x +1

therefore the equation that describe relation is y = 1-x or y = -x+1

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

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

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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a) The break-even point for the division is: 4000 units

b) The level of sales for 10% profit is: 4681 units

The break-even point is defined as the point at which total cost and total revenue are equal, meaning there is no loss or gain for your small business. In other words, you've reached the level of production at which the costs of production equals the revenues for a product.

a) We are told that:

Selling price for income tax app = $8

Monthly fixed cost = $20000

Variable cost producing each app = $3

Thus:

8x = 3x + 20000

5x = 20000

x = 4000 units

b) 8x = 1.1(3x + 20000)

8x = 3.3x + 22000

4.7x = 22000

47x =220000

x = 4681 units

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Missing questions are:

(a) Find the break-even point for the division.

(x,y)=

(b) What should be the level of sales in order for the division to realize a 10% profit over the cost of making the income tax apps? (Round your answer up to the nearest whole number.)