Need help I can’t answer them

Need Help I Cant Answer Them

Answers

Answer 1

The triangles that translate to triangle X are A and F.

Triangle ABC is translated to triangle A'B'C', 5 square(s) to the right and 4 square(s) down.

How are triangles translated?

Triangles can be translated by moving each of their vertices a certain distance in a certain direction. The distance and direction of the translation can be described using vector notation.

For example, a translation of a triangle by the vector <a, b> would move each vertex of the triangle a units to the right and b units up. The resulting translated triangle would have the same shape and size as the original triangle, but would be located in a different position in the plane.

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Image transcribed:

Select all of the triangles below which are translations of triangle X.

Triangle ABC is translated to triangle A'B'C'.

Fill in the gaps below to describe the translation.

Triangle ABC is translated to triangle A'B'C'.

Fill in the gaps below to describe the translation.

___ square(s) to the left/right and ___ square(s) up/down

A

B

C

A'

B'

C'


Related Questions

Which of the following expressions are equivalent? Why? If an expression has no match, write 2 equivalent expressions to match it.
a. 2(x+4)
b. 8+2x
c. 2x+4
d. 3(x+4)-(4+x)
e. x+4

Answers

Answer:

a and b are equivalent.

c, d and e are not equivalent.

So, 2 equivalent expression for c and are,

c.

( i ) 2 ( x + 2 )

( ii ) ( 4x + 8 ) / 2

d.

( i ) 3x + 16

( ii ) ( 6x + 32 ) / 2

Step-by-step explanation:

a.

2 ( x + 4 )

= 2 ( x ) + 2 ( 4 )

= 2x + 8

b.

8 + 2x can also be written as 2x + 8.

d.

3 ( x + 4 ) + ( 4 + x )

= 3 ( x ) + 3 ( 4 ) + 4 + x

= 3x + 12 + 4

= 3x + 16

Answer:

A and B

Step-by-step explanation:

2(x+4)

2 + x = 2x

2 x 4 = 8

8 + 2x or 2x + 8

PLEASE HELP IM SO CONFUSED LATE ASSIGNMENT

Answers

Answer:

34%

Step-by-step explanation:

80+10 = 90 (The number of people who do not like meat on their pizzas

Add all the numbers (150+25+80+10) = 265

You do # of people who don't like meat on their pizzas / # of total people

90/265 = 0.339622642

When rounded (Since they're asking for per cent which is 100 because 100 cents make 1 dollar) it will be 0.34 because 0.34 is in it's hundredth place

0.34 x 100(because it is per-cent)

Gives you 34%

please i need it quick

Answers

Answer:

98 degrees

Step-by-step explanation:

angle 3 and angle 4 are supplementary angles, since they together add up to 180 degrees.

Since we know angle 3, we can subtract that from 180 degrees to find angle 4:

180 - 82 = 98.

Therefore, angle 4 is 98 degrees.

98 because 180 -82 equals 98

1 2 3 4 5 6 7 8 9 10
TIME REMAINING
57:04
Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

What is the value of a?

5 units
5 and one-third units
6 and two-thirds units
7 units

Answers

Option B. 5 and one-third units. The value of a in triangle XYZ is 5 and two-thirds units. This is found using the Pythagorean theorem twice and solving for a.

To find the value of a, we can use the Pythagorean theorem in triangles WZY and WYX as follows:

In triangle WZY:

[tex]c^2 = 3^2 + (a + 4)^2[/tex]

In triangle WYX:

[tex]b^2 = 4^2 + a^2[/tex]

Since angle ZWX is a right angle, we can use the Pythagorean theorem in triangle ZWX as follows:

[tex]ZWX^2 = ZW^2 + WX^2[/tex]

We know that ZW = c and WX = b, so we have:

[tex]a^2 + b^2 = c^2[/tex]

Substituting[tex]c^2[/tex] in terms of a and simplifying, we get:

[tex]a^2 + b^2 = 25 + (a + 4)^2[/tex]

Expanding and simplifying, we get:

[tex]a^2 + b^2 = a^2 + 8a + 41[/tex]

Subtracting [tex]a^2[/tex] from both sides, we get:

[tex]b^2 = 8a + 41[/tex]

Substituting [tex]b^2[/tex] in terms of a in the equation [tex]a^2 + b^2 = c^2[/tex], we get:

[tex]a^2 + 8a + 41 = c^2[/tex]

Substituting[tex]c^2[/tex] in terms of a from the equation for triangle WZY, we get:

[tex]a^2 + 8a + 41 = 9 + (a + 4)^2/16[/tex]

Expanding and simplifying, we get:

[tex]16a^2 + 128a + 656 = 9a^2 + 50a + 97[/tex]

Simplifying further, we get:

[tex]7a^2 + 78a - 559 = 0[/tex]

Using the quadratic formula, we get:

[tex]a = (-78 ± sqrt(78^2 + 4(7)(559))) / 14[/tex]

a = (-78 ± sqrt(49379)) / 14

Since a represents a length in a triangle, it must be positive. Therefore, we have:

a = (sqrt(49379) - 78) / 14 ≈ 6.67

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Triangle X Y Z is shown. Angle Z W X is a right angle. An altitude is drawn from point W to point Y on side Z X to form a right angle. The length of W Y is 4, the length of Y X is a, the length of Z Y is 3, the length of Z W is c, and the length of W X is b.

What is the value of a?

A. 5 units

B. 5 and one-third units

C. 6 and two-thirds units

D. 7 units

Emir, Katherine, Dylan and Anna Who earned enough money to attend the festival?

Answers

Therefore , the solution of the given problem of unitary method comes out to be  able to afford the festival because 120 is larger than 70.

What is an unitary method?

To accomplish the task, one may use this generally accepted ease, preexisting variables, as well as any significant components from the original Diocesan customizable query. If so, there might be an opportunity to interact with the item once more. Otherwise, every significant factor that affects how algorithmic evidence behaves will be gone.

Here,

The following chart allows us to determine each person's earnings:

=> Person 1: 2 hours times $8 per hour  =  $16

=>  Person 2: $4 hours x $8 per hour  =  $32 per person

=>Person  3: 3 hours x $8 per hour = $24 per person.

=> Person 4: 5 hours x $8 per hour  =  $40.

=> Person 5: One hour times $8 per hour equals $8.

Each person needs to bring at least $70 in order to join the festival. As a result, the disparity shown below can be used to describe this circumstance:

=> 16 + 32 + 24 + 40 + 8 ≥ 70

Simplifying the inequality's left side, we obtain:

=> 120 ≥ 70

We can infer that all of the friends were able to afford the festival because 120 is larger than 70.

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b. In a new scale drawing of the same​ room, the length of the room measures 4 inches. What is the scale of the new​ drawing? Explain. Question content area bottom Part 1 a. The scale of the drawing is 1 in. 3 ft. ​(Type an integer or a​ decimal.) Part 2 b. The scale is 1 in.​ = what ft. In the new scale​ drawing, a length of 4 inches represents an actual length of what feet.​ So, a length of 1 inch represents an actual length of what feet. ​(Type integers or​ decimals.)

Answers

a) The scale of the drawing is 1 in. 3 ft.

b) the scale of the new​ drawing is 1 inch = 4 feet.

What is proportion?

The size, number, or amount of one thing or group as compared to the size, number, or amount of another. the proportion of boys to girls in our class is three to one.

Part 1: The scale of the drawing is 1 in. 3 ft.

Part 2: To find the scale of the new​ drawing, we can set up a proportion using the scale of the original drawing:

1 inch : 3 feet = x inches : 1 foot

Simplifying this proportion, we get:

1/3 = x/12

Multiplying both sides by 12, we get:

x = 4

So the scale of the new​ drawing is 1 inch = 4 feet.

In the new scale​ drawing, a length of 4 inches represents an actual length of 16 feet (since 1 inch represents 4 feet).

Hence, a) The scale of the drawing is 1 in. 3 ft.

b) the scale of the new​ drawing is 1 inch = 4 feet.

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The point (2,b) lies on the circle with radius 5 and center (-1,-1). What are the possible values of b?

Answers

The point (2,3) and  (2,-5) both lie on the circle with center (-1,-1) and radius 5.

Define circle

In geometry, a circle is a closed shape consisting of all points in a plane that are a fixed distance (called the radius) from a given point (called the center). The circle is one of the most basic geometric shapes, and it has many important properties.

In this case, we have a circle with center (-1,-1) and radius 5, so its equation is:

(x + 1)² + (y + 1)² = 5²

We also know that the point (2,b) lies on this circle, so we can substitute x = 2 and y = b into the equation to get:

(2 + 1)² + (b + 1)² = 5²

9 + (b + 1)² = 25

Subtracting 9 from both sides, we get:

(b + 1)² = 16

b + 1 = ±4

Solving for b in each case, we get:

b = -1 ± 4

Therefore, the possible values of b are:

b = 3 or b = -5

So the point (2,3) and the point (2,-5) both lie on the circle with center (-1,-1) and radius 5.

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I really need help please help

Answers

Answer:

M = 1/8t - 223.05

Step-by-step explanation:

ITS TIMED PLS QUICK A gardener would like to add to their existing garden to make more flowers available for the butterflies that visit the garden. Her current garden is 45 square feet. If she added another rectangular piece with vertices located at (−21, 7), (−23, 7), (−21, 12), and (−23, 12), what is the total area of the garden? FOR 20 POINTS

10 ft2
55 ft2
225 ft2
450 ft2

Answers

Answer:

55ft2

Step-by-step explanation:

Find the area of the added rectangle

-23 - -21 = 2ft

12-7 = 5ft

A=bh = 2ft x 5ft = 10ft^2

add old area and new area

45ft^2 + 10ft^2 = 55ft^2

Answer:

55 ft2

Step-by-step explanation:

Since the x values are -21 and -23, it shows that they are 2 points away from eachother. They y values are 7 and 12 so they are 5 points away from eachother. Multiply 2 x 5 = 10 which is the area of the new garden. Since the old garden is 45 square feet, add 10 + 45 to get 55 square feet total.

Quadrilateral ABCD is a parallelogram. Find m∠C if m∠C = 6x + 15 and m∠A = 13x − 41. An image of a parallelogram. Question 24 options: 153° 117° 63° 27°

Answers

After answering the provided question, we can state that Therefore, the parallelograms measure of angle C is 63°.

What is parallelograms?

In Euclidean geometry, a parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram is a type of quadrilateral in which both sets of opposite sides are parallel and equal. Parallelograms are classified into four types, three of which are unique. The four different shapes are parallelograms, squares, rectangles, and rhombuses. A quadrilateral is a parallelogram when it has two sets of parallel sides. The opposing sides and angles of a parallelogram are both the same length. The interior angles on the same side of the horizontal line are also angles. 360 degrees is the total number of interior angles.

Since ABCD is a parallelogram, opposite angles are congruent. Therefore,

m∠A = m∠C

13x - 41 = 6x + 15

7x = 56

x = 8

m∠C = 6(8) + 15 = 63

Therefore, the measure of angle C is 63°.

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look at pic i need answer

Answers

Hours, h Total Cost

1 14

2 18

3 22

4 26

What is an equation?

Complex algorithms frequently employ variable words to demonstrate coherence between two opposing assertions. Equations are academic expressions that are used to demonstrate the equality of different academic figures. In this case, leveling generates b + 7 rather than another algorithm that could divide 12 into two parts, evaluate the information provided by y + 7, and generate y + 7.

Here,

To find the total cost of renting the golf clubs for h hours, we can use the expression:

Total Cost = 10 + 4h

We can use this expression to complete the table as follows:

Hours, h Total Cost

1 10 + 4(1) = 14

2 10 + 4(2) = 18

3 10 + 4(3) = 22

4 10 + 4(4) = 26

Therefore, the completed table is:

Hours, h Total Cost

1 14

2 18

3 22

4 26

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Joe is looking for the best deal on an electric stove that has a wholesale price of $629. Help him compare the price of the
electric stove at two different stores by completing the following.
(a) Joe goes to a superstore that marks up the electric stove's wholesale price 10%. Ignoring tax, how much would he
pay for the electric stove at this store?
$0
(b)
Joe then looks at the electric stove in a department store that marks up the electric stove's wholesale price 30%.
But because of a customer loyalty program, he would receive a 20% discount off the in-store price. Ignoring tax,
how much would he pay for the electric stove at this store?
$0
(C)
Select the true statement.
O Joe would pay less for the electric stove at the superstore.
O Joe would pay less for the electric stove at the department store.
O Joe would pay the same amount for the electric stove at the department store and at the superstore.

Answers

Answer: x times 3

Step-by-step explanation:

marks up the electric stove's wholesale price 10%. Ignoring tax, how much would he

pay for the electric stove at this store?

$0

(b)

Joe then looks at the electric stove in a department store that marks up the electric stove's wholesale price 30%.

But because of a customer loyalty program, he would receive a 20% discount off the in-store price. Ignoring tax,

how much would he pay for the electric stove at this store?

$0

(C)

Select the true statement.

progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
Which of the following radical expressions has an absolute value symbol in its simplified form?
√81x
O √64x³
O 16x
O V-125x³

Answers

Answer:

[tex] \sqrt[4]{16x {}^{4} } [/tex]

During their softball season, Jessica had double the amount of hits Sam had. If Jessica and Sam together had 63 hits, write and solve an equation to find the amount of hits each girl had. (IM IN A HURRY WILL GIVE BRAINLIEST IF ANSWERED)

Answers

Sam had 21 hits, and Jessica had 42 hits

What is Linear Equatiοn?

A linear equatiοn is a mathematical equatiοn that can be written in the fοrm οf "ax + b = c", where "a", "b", and "c" are cοnstants and "x" is the variable being sοlved fοr. Linear equatiοns describe a straight line relatiοnship between variables.

Let's use variables tο represent the number οf hits that Jessica and Sam had.

Let's say that Sam had x hits.

Accοrding tο the prοblem, Jessica had dοuble the amοunt οf hits Sam had, sο Jessica had 2x hits.

Tοgether, they had 63 hits, sο we can write an equatiοn:

x + 2x = 63

Simplifying the equatiοn:

3x = 63

Dividing bοth sides by 3:

x = 21

Sο Sam had 21 hits, and Jessica had dοuble that amοunt, οr 42 hits.

Therefοre, Sam had 21 hits, and Jessica had 42 hits

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The half-life of a radioactive isotope is the time it takes for a quantity of the isotope to be reduced to half its initial mass. Starting with 155 grams of a radioactive isotope, how much will be left after 5 half-lives?

Answers

Answer: After each half-life, the amount of radioactive isotope will be reduced to half its previous amount. Therefore, after 5 half-lives, the amount remaining will be:

155 grams / 2^5 = 4.84 grams (rounded to two decimal places)

So, after 5 half-lives, approximately 4.84 grams of the radioactive isotope will be left.

Step-by-step explanation:

Please help, urgent!!!
If correct, I will mark brainliest.​

Answers

Answer:

perimeter =the circumference around the semicircle

22/7×34/2

=53.43cm

area = (22/7×17^2)/2

454.14cm^2

Answer :

Perimeter of circle = 36 cm Area of circle = 77 cm²

Step-by-step explanation :

Question :

Find the perimeter and area of the semicircle.

Given : Diameter = 14 cm

Radius = 14/2 = 7 cm

Solution :

Perimeter of semicircle = πr + d

[tex]\longrightarrow \: \: \dfrac{22}{7} \times 7 + 14 \\ \\ \longrightarrow \: \: 22 + 14 \\ \\ \longrightarrow \: \: 36 \: cm \\ [/tex]

Area of semicircle = 1/2 πr²

[tex]\longrightarrow \: \: \dfrac{1}{2} \times \dfrac{22}{7} \times {(7)}^{2} \\ \\ \longrightarrow \: \: \frac{22}{14} \times 7 \times 7 \\ \\ \longrightarrow \: \: \frac{1078}{14} \\ \\ \longrightarrow \: \: 77 \: {cm}^{2} \\ \\ [/tex]

Answer:

Perimeter of circle = 36 cm Area of circle = 77 cm²

VAT is one of the main source of revenue for the government. Transport industry is exempted from VAT (zero rated). 2.1 Conduct a survey by talking to one taxi driver or owner (the name not to be mentioned) operating between two places (example Mdantsane and East London) by using a neat questionnaire in the form of a table. The questionnaire should contain the following information. The maximum number of people that can be seated in the e taxi, the number of trips in a day, taxi fare, operating time, operating cost, driver's salary and petrol, (ignore wear and tear) total income and total expenses in one day. (15)​

Answers

Most times, questionnaire, which involves list of questions or items. are  used to gather data from respondents about their attitudes, experiences, or opinions. It helps to collect quantitative and/or qualitative information.

Questionnaire for Taxi Driver/Owner Operating between Mdantsane and East London:What is the maximum number of passengers that can be seated in your taxi?How many trips do you typically make in a day between Mdantsane and East London?What is your current taxi fare for a one-way trip between Mdantsane and East London?What are your operating hours on a typical day?What are your daily operating costs, including expenses for petrol, driver's salary, and any other expenses?What is your estimated daily income from operating your taxi between Mdantsane and East London?What are your estimated total expenses for operating your taxi between Mdantsane and East London in one day?

Please provide accurate information to the best of your knowledge. Your personal information will not be disclosed.

Thank you for your participation.

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giving brainlist! ⚠
Solve this Second Order Differential Equations, (but don't use Ai) coz I know if it's from there

Answers

The solution to the homogenous equation is M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

What is the solution to the second order differential equation?

To solve the second order differential equation:

d²M/dn² + 2n (dM/dn) = n

We can use the method of undetermined coefficients. First, we assume a particular solution of the form M = An + B, where A and B are constants to be determined. We then find the first and second derivatives of M:

dM/dn = A

d²M/dn² = 0

Substituting these into the differential equation, we get:

0 + 2n(A) = n

Solving for A, we find:

A = 1/2

So the particular solution is:

M = (1/2)n + B

To find B, we can substitute the particular solution into the original differential equation:

d²M/dn² + 2n (dM/dn) = n

0 + 2n(1/2) = n

So the homogeneous solution is:

Mh = C1n + C2

where C1 and C2 are constants to be determined. The general solution is the sum of the homogeneous and particular solutions:

The solution to the homogenous equation is;

M = c₁e⁻(ⁿ² + √[n(n+1)n] + c₂e⁻(ⁿ²-√[n(n+1)n

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Unit 6, Lesson 9
Cool-down
9.4 Solve Two More Equations
Solve each equation. Show your work, or explain your reasoning.
(1.)-3x - 5 = 16
2. -4(y-2) = 12

Step by step

Answers

the solution to the equation -4(y - 2) = 12 is y = -1.

How to solve?

(1.) -3x - 5 = 16

To solve for x, we need to isolate the variable on one side of the equation. We can start by adding 5 to both sides:

-3x - 5 + 5 = 16 + 5

-3x = 21

Next, we can divide both sides by -3 to get the value of x:

x = -7

Therefore, the solution to the equation -3x - 5 = 16 is x = -7.

(2.) -4(y - 2) = 12

To solve for y, we can start by simplifying the left side of the equation by distributing the -4:

-4y + 8 = 12

Next, we can isolate y by subtracting 8 from both sides:

-4y + 8 - 8 = 12 - 8

-4y = 4

Finally, we can solve for y by dividing both sides by -4:

y = -1

Therefore, the solution to the equation -4(y - 2) = 12 is y = -1.

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Complete question:

Solve the following equations and show your work or explain your reasoning:

(1.) -3x - 5 = 16

(2.) -4(y - 2) = 12

Evaluate the given numerical expressions

(12-5)^2 + (-18) x 4 = ?


Evaluate the given numerical expressions

4^3 + (15-3) ÷ 2 = ?

(i need it now pls)

Answers

Step-by-step explanation:

The answers to the given numerical expressions are:

(12-5)^2 + (-18) x 4 = 49 + (-72) = -23

4^3 + (15-3) ÷ 2 = 64 + 6 = 70

A class of 33 children were asked to name their favourite colour. All the results are shown in a bar chart below. put the correct numbers on the vertical axis of the bar chart.

Answers

This question cannot be answered

Please post the diagram/chart.

Answer: there should be a diagram but where is it

Step-by-step explanation:

URGENT!! ILL GIVE
BRAINLIEST! AND 100 POINTS

The answer Choices are:
5-n=x
2(n + 9)
X=n -5
3n/7
2n + 9
(3n)(7)

Answers

Answer:

Step-by-step explanation:

1st box: it mentions "Quotient" meaning divide, if you look at the answer choices only 1 of them has division sign (the fraction one, division can e seen with ÷ or as a fraction)

2nd box: mentions "less" meaning subtract,  there are two answer choices with a subtraction sign, do note subtraction-related word problems are counter intuitive (the opposite of what you would think).  You would think its 5-x since it mentions "5"  then the "n" BUT, if you think it about it, the problem is saying there taking 5 away FROM n, so, its x-5

3rd box: it mentions "sum" meaning addition, and "twice a number" meaning 2n. So, its 2n +9

4th box: it mentions " 2 times the sum of" pay attention to the "of" part because it signifies that the "2" part of this problem is multiplied by a conjunction of two terms. So its 2(n+9)

**you could use your deductive reasoning skills to figure it out. Since the problem mentions addition and since the answer choices leave you with one addition-related answer choice, it has to be 2(n+9)**

5th box: it mentions "product" meaning multiply, also mentions "3 times a number" meaning 3n. So its, (3n)(7)

6th box:  After solving the previous 5 problems, the only answer is 5-n=x, so that's the answer for the 6th box

~lmk if u got Qs

Lucy spent 2 1/4 hour riding her bike. She then spent 3 3/4 hour playing video games. How much longer did she spend playing video games then riding her bike​

Answers

Answer: 1 [tex]\frac{1}{2}[/tex]

Step-by-step explanation: Turn the mixed fraction into improper fraction, which is 9/4 and 15/4. Subtract 15/4 and 9/4 to get 3/2. Convert 3/2 into mixed number to get 1 1/2

hope it helps!!

A mail-order computer business has four telephone lines. Let X denote the number of lines in use at a specified time. Suppose the pmf of X is as given in the accompanying table.Xp(x)00.11230.25 0.30.35a. Find the cdf F(x) of X. b. Calculate the probability of each of the following events: A = {fewer than two lines are in use},B= {at least two lines are in use}, C= {between one and five lines, inclusive, are in use}.

Answers

The probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89

What is Probability ?

Probability can be defined as ratio of number of favourable outcomes and total number of outcomes.

To find the cdf F(x) of X, we can use the following formula:

F(x) = P(X ≤ x) = ∑ P(X = k) for k ≤ x

So we have:

F(0) = P(X ≤ 0) = P(X = 0) = 0.11

F(1) = P(X ≤ 1) = P(X = 0) + P(X = 1) = 0.11 + 0.23 = 0.34

F(2) = P(X ≤ 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.11 + 0.23 + 0.25 = 0.59

F(3) = P(X ≤ 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.11 + 0.23 + 0.25 + 0.3 = 0.89

F(4) = P(X ≤ 4) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) = 0.11 + 0.23 + 0.25 + 0.3 + 0.35 = 1

So the cdf F(x) of X is:

F(x) = 0 for x < 0

F(x) = 0.11 for 0 ≤ x < 1

F(x) = 0.34 for 1 ≤ x < 2

F(x) = 0.59 for 2 ≤ x < 3

F(x) = 0.89 for 3 ≤ x < 4

F(x) = 1 for x ≥ 4

b. To calculate the probability of the events A = {fewer than two lines are in use}, B = {at least two lines are in use}, C = {between one and five lines, inclusive, are in use}, we can use the cdf F(x) that we just found.

P(A) = P(X < 2) = F(1) = 0.34

P(B) = P(X ≥ 2) = 1 - P(X < 2) = 1 - F(1) = 1 - 0.34 = 0.66

P(C) = P(1 ≤ X ≤ 5) = F(5) - F(0) = 1 - 0.11 = 0.89

Therefore, the probability of each event is: P(A) = 0.34 P(B) = 0.66 P(C) = 0.89

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Select the correct answer. Consider this absolute value function. f(x) = |x - 21 If function f is written as a piecewise function, which piece will it include? O x + 2, x > 2 -x - 2, x ≥ 2 -x + 2, x < 2 x - 2, x ≤ 2​

Answers

The piecewise function for f(x) is f(x) = x - 2, x ≥ 2; -x + 2, x < 2, So the correct answer is option C.

Describe Function?

In mathematics, a function is a rule that assigns each element of a set (called the domain) to a unique element of another set (called the range). Functions are a fundamental concept in mathematics and are used to describe relationships between variables, as well as to model and solve a wide range of mathematical problems.

A function is typically denoted using a letter such as "f", and is defined by an equation or formula that specifies how the input (or domain) values are transformed into output (or range) values. For example, the function "f(x) = 2x + 1" assigns each input value "x" to an output value equal to twice the input value plus one.

The absolute value function f(x) = |x - 2| can be written as a piecewise function by separating it into two cases:

Case 1: x - 2 ≥ 0 or x ≥ 2

In this case, the expression inside the absolute value bars becomes x - 2, so f(x) = x - 2.

Case 2: x - 2 < 0 or x < 2

In this case, the expression inside the absolute value bars becomes -(x - 2) = -x + 2, so f(x) = -x + 2.

Therefore, the piecewise function for f(x) is:

f(x) =

x - 2, x ≥ 2

-x + 2, x < 2

So the correct answer is option C.

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Answer: Hope this helps ;)

Step-by-step explanation:

find thelength of side ab

Answers

Answer:8.85cm

Step-by-step explanation:

we need to use sinuses theorem:

[tex]\frac{13.5}{sin90} =\frac{x}{sin41} \\sin90=1\\13.5 =\frac{x}{sin41} \\\\13.5*sin41=x\\sin41=0.65\\x=8.85[/tex]

If an item has a sale price of $40 after it has been discounted 30%, what was the original price

Answers

Answer:$

28 dollars

Step-by-step explanation:

Answer:

$57.14

Step-by-step explanation:

using (4.6), find the polynomial p2(x) that interpolates the following data. in each case, simplify (4.6) as much as possible. g

Answers

The required Lagrangian form of the polynomial p2(x) is given by

 [(x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)] × y0 + [(x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)] × y1 + [(x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)] × y2

The Lagrangian form of the interpolating polynomial p2(x) corresponding to the data in the table is,

p2(x) = L0(x) × y0 + L1(x) ×y1 + L2(x) ×y2

where Li(x) for i = 0,1,2 are the Lagrange basis polynomials defined by,

L0(x) = (x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)

L1(x) = (x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)

L2(x) = (x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)

Substituting the values of xi and yi from the table, we get,

p2(x)

= [(x - x1) × (x - x2) / (x0 - x1) × (x0 - x2)] × y0 + [(x - x0) × (x - x2) / (x1 - x0) × (x1 - x2)] × y1 + [(x - x0) × (x - x1) / (x2 - x0) × (x2 - x1)] × y2

Note that the indices of xi and yi in the Lagrange basis polynomials correspond to the indices of the data points in the table.

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The given question is incomplete, I answer the question in general according to my knowledge:

Write the Lagrangian form of the interpolating polynomial p2 corresponding to the data in the table below

x0   y0

x1    y1

x2   y2

does anyone know what p(p-2) x (2/p) is?

Answers

Answer:

Yes, I can help you simplify that expression.

Starting with the expression:

p(p-2) x (2/p)

You can simplify it by first multiplying the terms in the first set of parentheses:

p(p-2) = p^2 - 2p

Then you can rewrite the second term as a fraction with a common denominator of p:

2/p = 2p/p^2 = 2/p^2

Now the expression becomes:

(p^2 - 2p) x (2/p^2)

Next, you can factor out a 2 from the first set of parentheses:

2p(p - 1) x (2/p^2)

Finally, you can simplify the expression by canceling out the p in the second fraction:

2(p - 1)

So the simplified expression is 2(p - 1).

Jon Marc is ordering bark dust for two clients. Each client has a circular flower bed. Jon Marc
knows the radius of one flower bed is 6.5 feet and the diameter of the other is 30 feet. How
many square feet of bark dust should Jon Marc order?

Answers

The total area square feet of bark dust should Jon Marc order is 839.1 square feet.

What is area?

The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies.

Here we know that , area of the circle = [tex]\pi r^2[/tex] square unit.

Now radius of one flower bed = 6.5 feet. Then,

Area of the bed = [tex]3.14\times 6.5^2[/tex] = 132.6 square feet,

Now diameter of another bed = 30 feet then,

Radius = 30/2 = 15 feet. Then

Area of the bed  = [tex]3.14\times15^2[/tex] = 706.5 square feet.

Then total square feet of bark dust should Jon Marc order is

=> 132.6 + 706.5 = 839.1 square feet.

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