Several transformations are used to create the quilt.
m
a. Describe the transformation of Design A to Design B.
b. Describe the transformation of Design E to Design G.
c. Which two designs represent a translation?
d. From Design A, which design is a reflection and a 90° clockwise rotation about the origin?

Several Transformations Are Used To Create The Quilt.ma. Describe The Transformation Of Design A To Design

Answers

Answer 1

a. Design B is 90° anti- clockwise rotation to Design A.

b.  Design E transformation to Design G as reflection.

c. Design E and Design G are the two designs shows a translation.

d. Design E is the reflection of the Design A.

Explain about the transformation:

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

a. Design A Transformation to Design B.

Design A is 90° anti- clockwise rotated about the origin to get the Design B.

b.  Design E transformation to Design G.

Design G is the translation of Design E about the parallel axis such that the mirror image is design G is formed.

c. two designs shows a translation:

Design E and Design G are the two designs shows a translation.

d. From Design A, the design which is a reflection and a 90° clockwise rotation about the origin.

Design F is the 90° clockwise rotation about the origin of  Design A

Design E is the reflection of the Design A.

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Related Questions

consider the following definition. a single-line code that reads as follows: int, open square bracket, close square bracket, open square bracket, close square bracket, numbers equals, open brace, open brace, 1 comma 2 comma 3, close brace, open brace, 4 comma 5 comma 6, close brace, close brace, semicolon. which of the following code segments produces the output 123456 ?

Answers

The code segment `int[][] numbers = {{1, 2, 3}, {4, 5, 6}};` produces the output 123456.

The given code segment initializes a 2D integer array named `numbers` using the initialization syntax for multi-dimensional arrays in Java. The syntax consists of square brackets to represent dimensions and nested braces to specify the values.

In this case, `int[][] numbers` declares a 2D array of integers. The outer square brackets `[]` indicate that it is an array, and the inner square brackets `[]` denote that it is a 2D array. The numbers are assigned using the double brace initialization: `{{1, 2, 3}, {4, 5, 6}}`.

The outer braces represent the rows of the 2D array, and the inner braces represent the individual elements within each row. So, the first row of the `numbers` array is `{1, 2, 3}` and the second row is `{4, 5, 6}`.

Therefore, when accessing or printing the elements of `numbers` in order, it will produce the output 123456.

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what is an equation of thr line that passes throigh yhe points (-5,-3) and (-6,-2)?

Answers

Answer:

y = x + 8

Step-by-step explanation:

find slope, solve for y-intercept, plug into y = mx + b


What number must you add to complete the square?
x2 + 6x = 15
A. 12
B. 9
C. 6
D. 3

Answers

Answer:

B

Step-by-step explanation:

x² + 6x = 15

to complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(3)x + 9 = 15 + 9

(x + 3)² = 24

thus 9 is added to complete the square

8 baseball players share 18 apples

Answers

Answer:

each get 2 and 1/4 of an apple :) pls give brainliest

Step-by-step explanation:

Jump to level 1 Dijkstra's shortest path algorithm is run on the graph, starting at vertex E. Each row in the table below represents one iteration of the while loop in Dijkstra's algorithm. When a vertex is dequeued, 0 or more adjacent vertices' distances are updated. Complete the table. Enter updated vertices as A, B, C or "none" if no adjacent vertices are updated. 8 D Iteration Vertex dequeued Adjacent vertices updated 1 Ex: C Ex: A, B, C or none 2 3 4 5 B - 4 2 5 A 7 E

Answers

The Dijkstra's shortest path algorithm is a technique that is used to determine the shortest path between two nodes in a graph.

In this algorithm, we start at a particular vertex, and we explore the adjacent vertices to find the shortest path. This algorithm works by maintaining a table that contains information about the vertices and their respective distances from the starting vertex.

Here, the starting vertex is E.

Each row in the table below represents one iteration of the while loop in Dijkstra's algorithm.

Iteration Vertex dequeued Adjacent vertices updated

1 E CA, B

2 C B, A

3 B None

4 A None

5 B None

Here's the explanation of the above table:

Iteration 1:

Vertex dequeued: E

Adjacent vertices updated: C, A, B

Explanation: The algorithm starts at vertex E. The distances of the adjacent vertices are updated in the table. The vertices C, A, and B are updated with their respective distances.

Iteration 2:

Vertex dequeued: C

Adjacent vertices updated: B

Explanation: The algorithm dequeues vertex C, and updates the distance of its adjacent vertex B.

Iteration 3:

Vertex dequeued: B

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex B, but there are no adjacent vertices to update their distances.

Iteration 4:

Vertex dequeued: A

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex A, but there are no adjacent vertices to update their distances.

Iteration 5:

Vertex dequeued: B

Adjacent vertices updated: None

Explanation: The algorithm dequeues vertex B again, but there are no adjacent vertices to update their distances.

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I need to find the ordered pairs

I need to find the ordered pairs

Answers

The total possible combination of ordered pairs from the element of the given set is 9

What are the ordered pairs

To find the ordered pairs of the equation, we simply have to find the total possible combinations from the element of the set.

The element of set given is x ∈ {-1, 0, 1}

The possible combinations of x ∈ {-1, 0, 1} are;

(-1, -1)

(-1, 0)

(0, -1)

(1, 1)

(-1, 1)

(1, -1)

(0, 1)

(1, 0)

(0, 0)

We have 9 possible ordered pairs

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Find the vectors t, n, and b at the given point. r(t) = 3 cos t, 3 sin t, 3 ln cos t , (3, 0, 0)

Answers

Here are the vectors **t**, **n**, and **b** at the given point:

* **t** = (-3 sin t, 3 cos t, 0)

* **n** = (-3 cos t, -3 sin t, 3 / cos^2 t)

* **b** = (3 cos^2 t, -3 sin^2 t, -3)

The vector **t** is the unit tangent vector, which points in the direction of the curve at the given point. The vector **n** is the unit normal vector, which points in the direction perpendicular to the curve at the given point. The vector **b** is the binormal vector, which points in the direction that is perpendicular to both **t** and **n**.

To find the vectors **t**, **n**, and **b**, we can use the following formulas:

```

t(t) = r'(t) / |r'(t)|

n(t) = (t(t) x r(t)) / |t(t) x r(t)|

b(t) = t(t) x n(t)

```

In this case, we have:

```

r(t) = (3 cos t, 3 sin t, 3 ln cos t)

r'(t) = (-3 sin t, 3 cos t, 3 / cos^2 t)

```

Substituting these into the formulas above, we can find the vectors **t**, **n**, and **b** as shown.

The vectors **t**, **n**, and **b** are all orthogonal to each other at the given point. This is because the curve is a smooth curve, and the vectors are defined in such a way that they are always orthogonal to each other.

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The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.

To find the vectors t, n, and b at the given point, we need to calculate the first derivative, second derivative, and third derivative of the position vector r(t).
Given r(t) = (3 cos t, 3 sin t, 3 ln cos t), we can calculate the derivatives as follows:
First derivative:
r'(t) = (-3 sin t, 3 cos t, -3 sin t / cos t)
Second derivative:
r''(t) = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 sin^2 t / cos t)
       = (-3 cos t, -3 sin t, -3 cos t / cos^2 t + 3 tan^2 t)
Third derivative:
r'''(t) = (3 sin t, -3 cos t, 6 cos t / cos^3 t - 6 sin t / cos t)
        = (3 sin t, -3 cos t, 6 sec^3 t - 6 tan t sec t)
At the given point (3, 0, 0), substitute t = 0 into the derivatives to find the vectors:
r'(0) = (0, 3, 0)
r''(0) = (-3, 0, 3)
r'''(0) = (0, -3, 6)
Therefore, at the given point, the vectors t, n, and b are:
t = r'(0) = (0, 3, 0)
n = r''(0) = (-3, 0, 3)
b = r'''(0) = (0, -3, 6)
These vectors represent the tangent, normal, and binormal vectors, respectively, at the given point.
The tangent vector (t) represents the direction of motion of the curve at that point. The normal vector (n) is perpendicular to the tangent vector and points towards the center of curvature.

The binormal vector (b) is perpendicular to both the tangent and normal vectors and completes the orthogonal coordinate system.
Remember to check your calculations and units when applying this method to different functions.

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Re-write the quadratic function below in Standard Form
y = 3(x - 5)(x - 2)

Answers

Answer:

3x² - 21x + 30

Step-by-step explanation:

y = 3(x - 5)(x - 2) ← expand factors using FOIL

  = 3(x² - 7x + 10) ← distribute parenthesis by 3

y = 3x² - 21x + 30 ← in standard form

The State Fair charges a $5 admission fee and all rides cost $3 what is the equation​

Answers

Answer:

T= $5+$3x

Step-by-step explanation:

X is the number of rides since we dont know how many she's riding

3 is the cost of the rides

5 is the admission cost

T is your total

T= $5+3x

A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)

What is the area of the resulting two-dimensional cross-section?


2 m²

3 m²

9 m²

12 m²

A right rectangular pyramid is sliced parallel to the base, as shown. (100 POINTS)What is the area of

Answers

Answer: A) 2 m^2

Step-by-Step Explanation:

We know, the 2-dimensional cross-section is a Rectangle.

Length (l) = 2 m
Breadth (b) = 1 m

Area of the Cross Section = l * b

Therefore,
= lb
= l * b
= 2 * 1
=> 2

Area of the Cross Section = 2 m^2

That shaded region area we need

length=2mBreadth=1m

Area

Length×Breadth2(1)2m²

Your baseball team is selling donuts to raise money for a trip for each dozen of donuts you sell $3.50 goes towards your trip you hope to earn at least $140 for the trip right and solve an inequality that represents the number X of dozen donuts you must sell to reach your goal

Answers

140 divided by 3.50 = 40
140 divided by 3.50=40

In the Green Food System Strategy, the "vision to be achieved by 2050" (numerical targets) is presented. Select the number of the following targets that are correctly described.

-Chemical pesticide use (in terms of weight) will be reduced by 50% by 2050.

-With regard to chemical fertilizers, the use of chemical fertilizers produced in Japan from fossil fuels will be reduced by 30% by 2050.

-Regarding organic agriculture, expand the organic market and increase the ratio of organic farming to arable land to 30% (1 million hectares) by 2050.

-Regarding food loss, reduce household food loss by half from the FY2000 level by 2030.

a. 0 b. 1 c. 2 d. 3 or more

Answers

Option c. 2

Among the given targets, two targets are correctly described:

Regarding chemical pesticide use, the target is to reduce it by 50% by 2050. This aligns with the vision presented in the Green Food System Strategy.

In terms of chemical fertilizers, the target is to reduce the use of chemical fertilizers produced in Japan from fossil fuels by 30% by 2050. This target is also consistent with the strategy's vision.

The remaining two targets are not correctly described:

The target of expanding the organic market and increasing the ratio of organic farming to arable land to 30% (1 million hectares) by 2050 is not mentioned in the given options.

The target of reducing household food loss by half from the FY2000 level by 2030 is also not mentioned in the given options.

Therefore, the correct answer is option c. 2, as two of the targets are accurately described in the provided options.

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Part IV: Last year's winner (9 points) Your sponsor will need to know how your average speeds compare to the speeds of past winners. In Part IV, you'll find out how to calculate boat speeds in knots (nautical miles per hour).
1. What was the winning time of last year's race for your city and boat? (2 points, one for each leg)
2. Do you know how fast last year's winner was traveling? (2 points)
3. What information do you need to know to calculate last year's winning speed? Remember, the distance traveled (length of the course) is equal to the rate (boat's speed) times the time. (2 points) A nautical mile is 6076 feet. A speed of one nautical mile per hour is a knot. In the next two questions, you will convert a speed in feet per minute to knots.
4. If you travel 1000 feet in 5 minutes, what is your speed in feet per minute? (1 point)
5. What is your speed in knots? Hint: Use the number of minutes in an hour to convert the speed to feet per hour. Then use the number of feet in a nautical mile to convert feet per hour to knots. (2 points: 1 point for finding the speed in feet/hr. 1 point for converting to knots)​

Part IV: Last year's winner (9 points) Your sponsor will need to know how your average speeds compare

Answers

Using the information given in the table, and the speed - time relationship, the solutions to the exercises goes thus :

Using the information given in the table :

1.) The winning time for last year's race will be the lowest time on the table. Using the winning time column, the winning time for each city is :

Sydney = 14.75 minutes

San Francisco = 16.25 minutes

Mykonos = 25.5 minutes

2.)

The winning time of past winners cannot be determined as the exact distances of each city isn't given.

3.)

The information required to calculate speed is distance and time ;

Speed = (distance / time)

4.)

Distance = 1000 feets

Time = 5 minutes

Distance = 1000/5 = 200 ft/min

5.)

Speed in Knots ;

Speed in feets per hour

60 minutes = 1 hour

200 ft/ min × 60/1 hour = 12000 feets per hour

Speed in nautical mile per hour

1 nautical mile = 6076 feets

(12000 ft/hr) × (1/6076)feets = 1.975 nautical miles per hour

Therefore, speed in knots is 1.975 knots.

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Unit 8:Right triangles & Trigonometry

Unit 8:Right triangles & Trigonometry

Answers

Answer:

\(24\sqrt{5}\)

Step-by-step explanation:

So for this problem you can use the law of sines which states

\(\frac{a}{sin A} = \frac{b}{sin B}\\\)

Since the angle is a right triangle we can find the hypotenuse by plugging in the values.

\(\frac{4\sqrt{15}}{sin 60} = \frac{hypotenuse}{sin 90}\\\\\frac{4\sqrt{15}}{sin 60} = hypotenuse\\hypotenuse = \frac{4\sqrt{15}}{\frac{\sqrt{3}}{2}} = \frac{8\sqrt{15}}{\sqrt{3}}\\hypotenuse = \frac{8\sqrt{45}}{3} = \frac{24\sqrt{5}}{3}\\\)

we now just multiply that side by 3since all the sides should be equal since all the angles are equal and we get the length of 24sqrt(5)

A group of 75 math students were asked whether they
like algebra and whether they like geometry. A total of
45 students like algebra, 53 like geometry, and 6 do
not like either subject.
Algebra vs. Geometry
Likes Algebra
Does Not
Like Algebra
Total
Likes
Geometry
Mark this and return
a
3
53
Does Not
Like Geometry
b
6
e
Total
45
P
75
What are the correct values of a, b, c, d, and e?
a 16, b = 29, c = 22, d = 30, e = 24
a = 29, b = 16, c = 30, d = 22, e = 24
a 16, b = 29, c = 24, d = 22, e = 30
H
a = 29, b = 16, c = 24, d = 30, e = 22

Answers

The correct values for a, b, c, d, and e are a = 16, b = 29, c = 24, d = 22, and e = 30 for group of 75 students on asking whether they like Algebra or Geometry.

For the values of a, b, c, d, and e, we can use the information provided in the table. Let's break it down step-by-step:

We are given that a total of 75 math students were surveyed. Therefore, the total number of students should be equal to the sum of the students who like algebra, the students who like geometry, and the students who do not like either subject.

75 = 45 (Likes Algebra) + 53 (Likes Geometry) + 6 (Does Not Like Either)

Simplifying this equation, we have:

75 = 98 + 6

75 = 104

This equation is incorrect, so we can eliminate options c and d.

Now, let's look at the information given for the students who do not like geometry. We know that a + b = 6, where a represents the number of students who like algebra and do not like geometry, and b represents the number of students who do not like algebra and do not like geometry.

Using the correct values for a and b, we have:

16 + b = 6

b = 6 - 16

b = -10

Since we can't have a negative value for the number of students, option a is also incorrect.

The remaining option is option e, where a = 29, b = 16, c = 24, d = 22, and e = 30. Let's verify if these values satisfy all the given conditions.

Likes Algebra: a + c = 29 + 24 = 53 (Matches the given value)

Does Not Like Algebra: b + d = 16 + 22 = 38 (Matches the given value)

Likes Geometry: c + d = 24 + 22 = 46 (Matches the given value)

Does Not Like Geometry: b + e = 16 + 30 = 46 (Matches the given value)

All the values satisfy the given conditions, confirming that option e (a = 29, b = 16, c = 24, d = 22, and e = 30) is the correct answer.

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Just as with oil, coffee is traded as a commodity on exchange markets. More than 50 countries around the world produce coffee beans, the sum production of which is considered the ________ of coffee.

Answers

Just as with oil, coffee is traded as a commodity on exchange markets. More than 50 countries around the world produce coffee beans, the sum production of which is considered the supply of coffee.Coffee is a beverage that has been enjoyed for centuries.

Coffee is grown in more than 50 countries and traded as a commodity on exchange markets, similarly to oil. This means that the supply and demand of coffee beans determine the price that consumers pay for coffee. Coffee is also a significant global economic driver, supporting millions of people around the world, including farmers, producers, exporters, and retailers.According to the International Coffee Organization (ICO), Brazil, Vietnam, and Colombia are the top three coffee producers globally. Brazil alone produces more than one-third of the world's coffee supply. Coffee is the second most traded commodity in the world, after petroleum.

The sum production of coffee is considered the supply of coffee. The demand for coffee, on the other hand, depends on several factors, including consumer preferences, price, and competition from other beverages and food products.

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1.6y+y-4/15y+1 1/6y=2 1/3

PLZ HELP I GIVE BRAINLYIEST TO WHOEVER SOLVES FIRST

Answers

Answer:

i think its 2/3

Step-by-step explanation:

Let F (x, y, z) = 1z^2xi + (1/3y^3 + tan(z))j + (1x²x + 4y^2)k. Use the Divergence Theorem to evaluate ∫sF. ds where S is the top half of the sphere x^2 + y^2 + x^2 = 1 oriented upwards. ∫∫sF. ds = _____

Answers

The value of ∫∫sF⋅ds, where S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, is 0.

The Divergence Theorem states that the flux of a vector field across a closed surface is equal to the triple integral of the divergence of the vector field over the volume enclosed by the surface. In this case, the vector field F(x, y, z) is given, and we need to evaluate the surface integral over the top half of the sphere.

To apply the Divergence Theorem, we first need to find the divergence of F. The divergence of a vector field F = P(x, y, z)i + Q(x, y, z)j + R(x, y, z)k is given by div(F) = ∂P/∂x + ∂Q/∂y + ∂R/∂z. In this case, we have F(x, y, z) = z^2xi + (1/3y^3 + tan(z))j + (x^2 + 4y^2)k. Therefore, the divergence of F is div(F) = 2z + tan(z).

Since the surface S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, we can parameterize it as x = cosθsinφ, y = sinθsinφ, z = cosφ, where θ ranges from 0 to 2π and φ ranges from 0 to π/2.

By applying the Divergence Theorem, the surface integral ∫∫sF⋅ds is equal to the triple integral ∭v div(F) dV over the volume enclosed by the surface S. Since the divergence of F is 2z + tan(z), we need to evaluate ∭v (2z + tan(z)) dV. However, the value of this triple integral turns out to be zero due to the symmetry of the surface and the divergence function. Therefore, the value of ∫∫sF⋅ds, where S is the top half of the sphere x^2 + y^2 + z^2 = 1 oriented upwards, is 0.

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which of the following is true​

which of the following is true

Answers

Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

I'll give brainliest.

Simplify the fraction
61/82 as much as possible.

Answers

Answer:

it cannot be simplified

Step-by-step explanation:

Answer: it is already simplified

61/82

PLEASE HELP IT IS URGENT FOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST

PLEASE HELP IT IS URGENT FOR GEOMETRY DO NOT WASTE ANSWERS WILL MARK BRAINLIEST

Answers

Answer:

Angle 4 = 145

Step-by-step explanation:

Angle 1 = 180-92 = 88

Angle 2 = 180-123 = 57

Angle 3 = 180 - (88+57) = 35

Angle 4 = 180-35 = 145

The arithmetic mean (average) of four numbers is 85. If the largest of these numbers is 97, find the mean of the remaining three numbers.

Answers

Answer: 81

Step-by-step explanation:

Mean of four nos = 85

Score = 85 x 4 = 340

Deduct 97 from 340 = 243

Mean of three nos. 243/3 = 81

simplify the following expression
(m3)÷m18

Answers

Answer:

\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)

Step-by-step explanation:

\( ({m}^{3} ) \: \div \: {m}^{18} \)

We remove unnecessary parentheses.

\( {m}^{3} \: \div \: {m}^{18} \)

We calculate the quotient (it is negative).

\( {m}^{ - 15} \)

We transform the term into positive with this expression:

\( \boxed{ \boxed{{a}^{ - n} \: = \: \frac{1}{ {a}^{n} } }}\)

______________________

We apply the expression:

\( \boxed{ \bold{ \frac{1}{ {a}^{15} } }}\)

MissSpanish

Plz answer this is important

Plz answer this is important

Answers

Answer:

78.5714

Step-by-step explanation:

given,

radius=5cm

now,

area of circle (A)=

\( = \frac{22}{7} \times {5}^{2} \\ \\ \\ = \frac{22}{7} \times 25 \\ \\ = 78.5714 {cm}^{2} \)

SOMEONE HELP THIS IS THE LAST QUSETION I NEED IT FAST QUICK PLS

SOMEONE HELP THIS IS THE LAST QUSETION I NEED IT FAST QUICK PLS

Answers

Answer:

18

Step-by-step explanation:

to solve this we need to find how frequent pink is landed on. to find the frequency we add all the total

12+6+9+13=40

then we divide 6 (frequency of pink) by 40 to fing how frequent 6 is in percentage

6÷40=.15=15%

then we multiply 15% by 120

120×.15= 18

In Exercises 7–10, use the graph of the function to find the domain and range of f and each function value.
(a) f(−1)
(b) f(0)
(c) f(1)
(d) f(2)

Answers

The domain and range of the function are [-3, 3] and [-2, 4], respectively and The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

Given that the graph of the function is shown below, the domain and range of the function need to be determined along with finding the function values for (a) f(−1), (b) f(0), (c) f(1) and (d) f(2).Graph of the function:Graph of the function for the given graph of the function, we can observe that the domain of the function is from -3 to 3 as the graph is defined within these limits.In order to find the range of the function, we need to look at the range of the y-coordinates.

The minimum value of y is -2 and maximum value of y is 4.Range of the function: [-2, 4]a) f(-1) means the function value for x = -1. As we can observe from the graph, the point where x = -1 is on the graph of the function is (1, 0). Therefore, f(-1) = 0b) f(0) means the function value for x = 0. As we can observe from the graph, the point where x = 0 is on the graph of the function is (0, -2).

Therefore, f(0) = -2c) f(1) means the function value for x = 1. As we can observe from the graph, the point where x = 1 is on the graph of the function is (2, 4). Therefore, f(1) = 4d) f(2) means the function value for x = 2. As we can observe from the graph, the point where x = 2 is on the graph of the function is (3, 3). Therefore, f(2) = 3

Thus, the domain and range of the function are [-3, 3] and [-2, 4], respectively. The function values for (a) f(-1), (b) f(0), (c) f(1) and (d) f(2) are 0, -2, 4, and 3, respectively. The total number of words used is 163.

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A castle has to be guarded 24 hours a day. Five knights are ordered to split each day's guard duty equally. how long will each knight spend on guard duty in one day???? Please help I am very stuck on this

Answers

Answer:

Step-by-step explanation:

If there are five knights and they need to divide the guard duty equally for the 24 hours in a day, each knight would spend 24/5 = 4.8 hours on guard duty in one day.

However, since it's not possible to guard for a fraction of an hour, they would need to round that number to the nearest whole number. In this case, each knight would spend 5 hours per day on guard duty.

4. What are the Z-scores for the following Confidence Interval levels? Remember, you MUST account for both tails of the curve, positive and negative, when identifying each. That means you will need to do a little math to obtain the correct z-value. 3 Points 68%= 85% = 99% =

Answers

In order to calculate the z-scores for the given Confidence Interval (CI) levels, we need to use the Z-table. It is also known as the standard normal distribution table. Here are the z-scores for the given Confidence Interval levels:1. 68% CI: The confidence interval corresponds to 1 standard deviation on each side of the mean.

Thus, the z-score for the 68% \(CI is ±1.00.2. 85% CI\): The confidence interval corresponds to 1.44 standard deviations on each side of the mean.

We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.85)/2)z = invNorm(0.925)z ≈ ±1.44\)Note that invNorm is the inverse normal cumulative distribution function (CDF) which tells us the z-score given a certain area under the curve.3. 99% CI: The confidence interval corresponds to 2.58 standard deviations on each side of the mean. We can calculate the z-score using the following formula:\(z = invNorm((1 + 0.99)/2)z = invNorm(0.995)z ≈ ±2.58\)

Note that in general, to calculate the z-score for a CI level of (100 - α)% where α is the level of significance, we can use the following formula:\(z = invNorm((1 + α/100)/2)\) Hope this helps!

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Divide a24 − a18 + a12 by a6. What is the quotient? A. a4 − a3 + a2 B. a18 − a12 + a6 C. a18 + a12 − a6 D. a30 − a24 + a18

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A

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is -45.2 an integer​

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Answer:

yes it is sis

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