A and B are two similar solids. 1A А 10 cm The volume of A is 400 cm³. Work out the volume of B. 15 cm B ​

Three types of rigid transformations are Reflection, Rotation, and Translation. Rigid transformation, also called isometry.

A rigid transformation, also called isometry,  is a transformation that doesn't change the size or shape of a geometric figure. The following are 3 types of rigid transformation:

1. Reflection

→  is the act of shifting an object's coordinates that flip it across a line without changing its shape or size. Horizontal (draw a figure to the left or right) or vertical (draw a figure to the up or down) reflections are possible. The result of reflection is a mirror image of the figure itself.  

The figure is reflected across \(x-\) or \(y-\) axis, and then change \(x-\) or \(y-\) coordinate.

2. Rotation

→ is the non-modification of an object's size or shape by rotating it around an fixed point. A center of rotation is required to rotate an object. And the rotation did by using a degree.

The figure is rotated by a degree (ex: 90°), and then change \(x-\) or \(y-\) coordinate. Meanwhile, a point's center rotation stays at the same.

3. Translation

→ is sliding a figure in any direction without changing its size, shape, or orientation. Translation could be horizontal (make a figure left or right),  or vertical reflections (make a figure up or down).

Vertical translation is shifting the graph along  \(y-\) axis

Horizontal translation is shifting the graph along  \(x-\) axis.

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This equation can be used to analyze the error of the backward Euler method directly for the model problem (4.3) with x an arbitrary real constant. The backward Euler method is a numerical method for solving ordinary differential equations (ODEs). It is an implicit method, meaning that it requires the solution of a nonlinear equation at each time step.

The error of the backward Euler method can be analyzed directly for the model problem (4.3) with x an arbitrary real constant. The backward Euler solution of the problem is given by the formula (4.10).

The backward Euler method is given by:
y_n+1 = y_n + h*f(t_n+1, y_n+1)

Where h is the time step, f is the function defining the ODE, t_n is the current time, and y_n is the current solution. The backward Euler method is an implicit method because it requires the solution of the nonlinear equation f(t_n+1, y_n+1) = 0 at each time step.

The error of the backward Euler method can be analyzed directly for the model problem (4.3) with x an arbitrary real constant. The model problem is given by:
y' = x*y

The exact solution of this problem is given by:
y(t) = y_0*exp(x*t)

The backward Euler solution of the problem is given by the formula (4.10):
y_n+1 = y_n/(1 - h*x)

The error of the backward Euler method is given by the difference between the exact solution and the numerical solution:
e_n = y(t_n) - y_n

By substituting the exact solution and the numerical solution into the error equation, we can analyze the error of the backward Euler method directly:
e_n = y_0*exp(x*t_n) - y_n

By rearranging the terms and using the formula for the numerical solution, we can obtain an equation for the error:
e_n = (y_0*exp(x*t_n) - y_n)/(1 - h*x)

This equation can be used to analyze the error of the backward Euler method directly for the model problem (4.3) with x an arbitrary real constant.

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The correct option is (d) i.e. one of the basic assumptions is Each sample is assumed to be normal.

What is ANOVA test?

ANOVA stands for Analysis of Variance. It is a statistical test used to analyze the differences between two or more groups of data. ANOVA tests whether the means of the groups are significantly different from each other.

The correct option is (d).

Each population from which a sample is taken is assumed to be normal. This is one of the five basic assumptions that must be fulfilled in order to perform a one-way ANOVA test. The other assumptions include:

Homogeneity of variance: The population variances are assumed to be equal for all groups.

Independence: The samples are assumed to be independent of each other.

Random sampling: The samples are assumed to be selected at random from their respective populations.

Interval or ratio data: The data being analyzed is assumed to be measured on an interval or ratio scale.

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The answer is true. The goal of a hypothesis test is indeed to demonstrate that the patterns observed in the sample data are not simply due to chance or sampling error, but rather represent real patterns in the population.

Hypothesis testing is a statistical tool used to determine whether a hypothesis about a population parameter is supported by sample data. The hypothesis being tested is called the null hypothesis, which assumes that there is no significant difference or relationship between variables in the population. The alternative hypothesis, on the other hand, suggests that there is a significant difference or relationship.

Through hypothesis testing, we can determine whether the observed differences or relationships in the sample are likely to occur by chance or are actually reflective of the true population. If the p-value (the probability of obtaining a result as extreme as the one observed, assuming the null hypothesis is true) is less than a predetermined level of significance, typically 0.05, we reject the null hypothesis and conclude that the alternative hypothesis is supported by the data.

In summary, the goal of a hypothesis test is to provide evidence that the observed patterns in the sample data are reflective of the true population and not just due to chance or sampling error.

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Answer:

25%

Step-by-step explanation: :On a coin, the probability of heads: if you flip it and its not rigged 50% although nothing is random just the lack off knowledge but yeah typically you would say 50% or .5 or half

ON a die, the probability of getting a number less than 3 is also half of 6 so it would be 25%.

Answer:

This is in slope intercept form

y = mx + b

m is the slope b is the .y intercept so the y intercept is -6

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

We know this because the equation is y=mx+b. M represents the slope and b represents the y-intercept. In this case, -6 is in the y-intercept’s place. Therefore, we know that -6 is the y-intercept.

The sample size that should be used is 43.

Given that;

The weight of a cereal box is measured as part of a statistical quality control process for the manufacture of cereal. It is understood that the population standard deviation is 0.06 ounces. To attain a margin of error of and a confidence level of 97% 0.02 ounces.

By considering the confidence level scenario, we get to solve how large a sample should be utilized.

The significance level is (α) = 0.03 ( 97% confidence level )

The critical value is (z*) = 2.17 ( From z-table )

The population standard deviation (σ) = 0.06

The margin of error (E) = 0.02

Therefore, the required sample size is;

n = [(z* × σ)/E ]²

n = 42.383

n ≅ 43

Finally, the sample size that should be used is 43.

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Step-by-step explanation:

1)

TV=TU+UV

32=TU+20

TU=32-20

TU=12

2)

As B is between A and C:

AC=AB+BC

AC=16+12

AC=28

Answer:

B. -8

Step-by-step explanation:

x-3y=136

18x+3y=-288

add the equations

19x=-152

divide by 19

x=-8

Answer:

The best cooking methods would be to cook something simple, and reasonable for the campfire. Such as something that can cook in a pan or a pot. I wouldn't recommend frozen food.  Since the best cooking method is to cook something that can cook in a pan or a pot here are some suggestions. I would suggest hot dogs, soup, beans, grilled cheese sandwich, and for dessert s'mores of course.

Step-by-step explanation:

Hope this helps!! If you need to add sum you can.

1. The best cooking method for a camping trip is Roasting using Skewers.

2. The best foods for this cooking method and setting are hot dogs and grilled cheese sandwiches.

Depending on the equipment in use, some cooking methods for camping are:

Thus, since the foods would be roasted over an open fire, using skewers would ensure that they are well-roasted.

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The standard equation of a hyperbola with a vertical transverse axis, centered at the origin, and values of a = 9 and b = 4 is y^2/81 - x^2/16 = 1.

The standard equation of a hyperbola centered at the origin with a vertical transverse axis is given by (y^2/a^2) - (x^2/b^2) = 1. In this case, we are given that a = 9 and b = 4, so substituting these values into the equation, we get:

(y^2/81) - (x^2/16) = 1

This is the standard equation of the hyperbola in question. It tells us that the center of the hyperbola is at the origin (0,0), the transverse axis is vertical (parallel to the y-axis), and the distance from the center to the vertices is 9 units (which is the value of a).

The distance from the center to the foci is given by c = sqrt (a^2 + b^2), which in this case is sqrt (81 + 16) = sqrt (97). The asymptotes of the hyperbola are the lines y = (a/b) x and y = -(a/b) x, which in this case are y = (3/4) x and y = -(3/4) x.

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Answer:

nn

Step-by-step explanation:

nnnnnn

Answer: 41,472

Step-by-step explanation:

Step-by-step explanation:

a.)

= 15a - 13a

= a(15 - 13)

= a(2)

= 2a

b.)

= -6x - 18y

= -(x + 3y)

c.)

= 36abc + 54ad

= 6a(6bc + 9d)

Answer:

\(a \: ) \: \: 15a - 13a \\ = a(15 - 13) \\ = a(2) \\ = 2a\)

\(b) \: \: - 6x - 18y \\ = - 6(x + 3y)\)

\(c) \: \: 36abc + 54ad \\ = 9a(4bc + 6d)\)

The required area and the circumference of the given circle are 19.63 ft² and 15.70 ft respectively.

Simply put, a circle is a rounded shape without any edges or line segments. It has the geometric shape of a closed curve.

The points of the circle are at a fixed distance from the center.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called the “center”.

So, the area would be:

= πr²

= 3.14*2.5*2.5

= 19.63495

= 19.63 ft²

The circumference would be:

= 2πr

= 2*3.14*2.5

= 15.70796

= 15.70 ft

Therefore, the required area and the circumference of the given circle are 19.63 ft² and 15.70 ft respectively.

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The value of side x in the triangle is 18.1.

In trigonometry, sine rule is an equation relating the lengths of the sides of any triangle to the sines of its angles.

To find the length of side x in the triangle, we use sine rule formula below.

Formula:

From the diagram in the question,

Given:

Substitute these values into equation 1

Make x the subject of the equation

Hence, the value of x is 18.1

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Answer:

6x-6x56 =-2016

Step-by-step explanation:

You have to subtract, then multiply by 56 to get -2016, as it shows a negative.

Answer:

20

Step-by-step explanation:

(5/100) * (400/1)

cancel the zeros

4 * 5= 20

Answer:

No

Step-by-step explanation:

From the information provided, we can say that he is not correct. This is because the depth of the water is the only measurement that he is using to make his estimate. Comparing the depth of the aquarium and the bucket is one measurement, but both the aquarium and bucket are most likely of different shapes and sizes. Therefore, this equates to more buckets for the same amount of depth in the aquarium. To get a proper estimate on how long it will take he needs to calculate the volume of water in the bucket and compare it to the volume of water needed to fill the aquarium.

Answer: In summary, all integers can be classified as either positive, negative, or zero.

Step-by-step explanation:

There are three types of integers: positive integers, negative integers, and zero.

Positive integers: Positive integers are numbers greater than zero, such as 1, 2, 3, 4, and so on.

Negative integers: Negative integers are numbers less than zero, such as -1, -2, -3, -4, and so on.

Zero: Zero is an integer that is neither positive nor negative. It is the only integer that is neither positive nor negative, and it is often referred to as the "origin" on a number line.

In summary, all integers can be classified as either positive, negative, or zero.

Answer: The three types of integers are Zero (Neutral Integers), Negative Integers, and Positive Integers.

Step-by-step explanation:

Negative Integers are the ones that has a value less than zero, examples of these are -7, -8, -9.

Positive integers, on the other hand. Are the ones that has a value more than zero, examples of these are 10, 11, 12, 13.

Note: The key difference between Negative Integers and Positive Integers is that a negative integer has a "-" sign, while a positive integer does not.

Zero are the neutral integers which means that it's the integer that's in the middle of the positive and negative integers, it has neither a positive sign or a negative sign.

Another note: Integers do not include fractions or decimals, only whole numbers.

It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time organisation skills and is able to balance his workload effectively.


Working efficiently, Jordan can write 3 essays and outline 4 chapters each week. To determine what must be true, let's break it down step-by-step:

1. Jordan can write 3 essays each week.
  This means that Jordan has the ability to complete 3 essays within a week. It indicates his writing capability and efficiency.

2. Jordan can outline 4 chapters each week.

  This means that Jordan can create an outline for 4 chapters within a week. Outlining chapters is a task that requires organizing and summarizing the main points of each chapter.

Given these two statements, we can conclude the following:

- Jordan has the skill to write essays and outline chapters.

- Jordan's writing efficiency allows him to complete 3 essays in a week.

- Jordan's ability to outline chapters enables him to outline 4 chapters in a week.

It must be true that Jordan is a proficient writer who can efficiently write essays and outline chapters. This suggests that Jordan possesses good time management skills and is able to balance his workload effectively.

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If the bending stress is below the allowable stress, the section is uncracked.

If it is equal to or above the allowable stress, the section is cracked.

To compute the bending stress at the bottom of the beam for an applied moment of 50 kN-m, we need to use the formula for bending stress:

Stress = (M * y) / I

where:
M is the applied moment (50 kN-m)
y is the distance from the neutral axis to the point of interest (bottom of the beam)
I is the moment of inertia of the beam's cross-section

Given the dimensions provided, the cross-section of the beam can be approximated as a rectangle with width b = 800 mm and height h = 600 mm.

The moment of inertia (I) for a rectangle can be calculated using the formula:

\(I = (b * h^3) / 12\)

Substituting the given values, we have:

\(I = (800 * 600^3) / 12\)

To determine the cracking moment, we need to compare the bending stress to the allowable bending stress for the concrete.

The allowable bending stress for normal weight concrete is typically taken as 0.45*f'c, where f'c is the compression strength of the concrete (35 MPa in this case).

If the bending stress is below the allowable bending stress, the section is uncracked.

If it is equal to or above the allowable bending stress, the section is cracked.

Now let's calculate the bending stress and cracking moment step by step:

1. Calculate the moment of inertia:
\(I = (800 * 600^3) / 12\)

2. Calculate the bending stress:
Stress = (50,000 * y) / I

3. Substitute the values for y and I to find the bending stress at the bottom of the beam.

4. Calculate the allowable bending stress:
Allowable stress = 0.45 * 35 MPa

5. Compare the bending stress to the allowable stress. If the bending stress is below the allowable stress, the section is uncracked.

If it is equal to or above the allowable stress, the section is cracked.

Remember to check your calculations and units to ensure accuracy.

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Answer:

your the problem

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

A quick way of doing this mentally would be:

1 times 12 = 12

and 1/2 times 12 is the same as half of 12 so 6

6 + 12 = 18

Answer:

58

Step-by-step explanation:

You would have to turn 7 1/4 into a whole fraction.

Do,

7 * 4 = 28

28 + 1 = 29

Your new fraction would be,

29/4

Now you have to make them equal denominators as 1/8.

Lets see,

Now multiply 4 * 2 is 8.

So multiply 29 times 2.

Which is 58.

Your new fraction is,

58/8

So therefore you would have 58 pieces.

Answer: a. $12, b. $12, c. $13, d. $12

Step-by-step explanation:

a. 1+1+1+1+1+1 = 6, 2+2+2=6, 6+6=12

b. 1+1+1+1=4, 2+2+2+2=8, 4+8=12

c. 1+1+1+1+1=5, 2+2+2+2=8, 5+8=13

d. 1+1+1+1+1+1+1+1=8, 2+2=4, 8+4=2

Answer:

-9 and 2

Step-by-step explanation:

In binary representation, each bit can be either 0 or 1. Using five binary bits, we can obtain 32 different numbers. Therefore, the correct answer is (B).

With five binary bits, we have five positions, and each position can have two possibilities (0 or 1). To calculate the total number of different numbers we can obtain, we need to raise 2 to the power of the number of bits. In this case, we have \(2^5,\) which equals 32. Therefore, we can obtain 32 different numbers using five binary bits. To understand this concept, we can think of each binary bit as a switch that can be either on (1) or off (0). With five switches, we have a total of 32 different combinations or numbers that can be represented. These numbers range from 0 (all switches off) to 31 (all switches on). Therefore, the correct answer is (B), which states that we can obtain 32 different numbers using five binary bits.

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The perimeter of the rectangle can be expressed as 2x + 84/x in terms only of x.

The perimeter of the rectangle can be expressed as:

2x + 2y

In this case, x is the width and y is the length.

Since we know the area of the rectangle is 42 in², we can use the formula for the area of a rectangle to solve for the length,

y = 42 / x.

Substituting this into the expression for the perimeter, we get,

2x + 2(42/x).

This simplifies toL

2x + 84/x.

Thus, the perimeter of the rectangle is 2x + 84/x in terms only of x.

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Answer:

n= 16

Step-by-step explanation:

Answer:

Step-by-step explanation:

419 = 24n + 35

419 - 35 = 24n

384 = 24n

384/24 = n

16 = n

Therefore, n = 16

Length of  side CD is given by the property of similar triangle and the value is 10 inch.

What is similar triangle?

Similar triangles are the triangles when both the triangles  look similar to each other but their sizes might not be exactly the same. In general sense, two objects are similar if they have the same shape but might vary in size. This property of similar shapes is defined to as "Similarity". The symbol of similar triangle is   '∼'

Given FE= 36 inch and FG= 15 inch

Then, GE= 36-15= 21 inch

Now ΔFEC ∼ ΔGED [ By the similarity of triangle]

Let, CD = x inch

so, length of DE = x+4 inch

So by the property of similarity of triangle ,

\(\frac{CE}{CD} =\frac{FE}{FG} \\\\\)

⇒ (2x+4)/x = 36/15

⇒ 15( 2x+4) = 36x

⇒ 30x+ 60=36x

⇒ 6x= 60

⇒ x= 10

Hence, the length of the side CD is 10 inch.

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