need help asap due soon….

The two figures are said to be congruent if you can change one into the other through a series of translations, rotations, and/or reflections.

In the given question we have to explain, a congruence transformation is translating.

A figure moved in a congruence transformation keeps its original size, shape, angles, and side lengths. The figures are precisely the same as one another, although they could have been rotated, shifted, or reflected from the original image, or pre-image.

The three sorts of transformations that are congruence transformations are thus reflection, rotation, and translation.

The two figures are said to be congruent if you can change one into the other through a series of translations, rotations, and/or reflections.

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The initial velocity (vi) of the ball, when shot into the catcher, is approximately 367.5 m/s.

To solve Eq. 7.5 and Eq. 7.6 for v1​ in terms of m, M, g, and h, we will substitute the given values of m, M, and h into the equations.

Eq. 7.5: mv1​ = (m+M)V2​

Eq. 7.6: (m+M)V22​ = (m+M)gh

Given:

m = 50.0 g (mass of the ball)

M = 200.0 g (mass of the catcher)

h = 15.0 cm (rise in the center of mass)

First, let's solve Eq. 7.6 for V2​ by dividing both sides by (m+M):

V22​ = gh

Next, substitute the expression for V2​ into Eq. 7.5:

mv1​ = (m+M)(gh)

Now, solve for v1​ by dividing both sides by m:

v1​ = (m+M)(gh) / m

Substituting the given values:

v1​ = (50.0 g + 200.0 g)(9.8 m/s²)(0.15 m) / (50.0 g)

Calculating the expression:

v1​ = (250.0 g)(9.8 m/s²)(0.15 m) / (50.0 g)

v1​ = 367.5 m/s

Therefore, the initial velocity (vi) of the ball, when shot into the catcher, is approximately 367.5 m/s.

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The future value of depositing $1,000 every year for 20 years, with payments made at the beginning of each period, at an interest rate of 7% compounded yearly, is approximately $43,865.18.

To calculate the future value of a series of deposits, we can use the formula for the future value of an ordinary annuity:

FV = P * [(1 + r)^n - 1] / r

Where:

FV is the future value

P is the periodic payment

r is the interest rate per period

n is the number of periods

In this case, the periodic payment is $1,000, the interest rate is 7% (or 0.07), and the number of periods is 20.

Plugging these values into the formula, we get:

FV = 1000 * [(1 + 0.07)^20 - 1] / 0.07

  = 1000 * [1.07^20 - 1] / 0.07

  ≈ 1000 * [2.6532976 - 1] / 0.07

  ≈ 1000 * 1.6532976 / 0.07

  ≈ 43,865.18

Therefore, the future value of this series after 20 years would be approximately $43,865.18.

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Nelson has 2+x/3 pears.

Mathematical expressions can be used to depict situations or issues, and algebra is the field of mathematics that does this. For a mathematical expression to have meaning, it needs to include variables like x, y, and z as well as mathematical operations like addition, subtraction, multiplication, and division. Algebra is used in every area of mathematics, including coordinate geometry, calculus, and trigonometry.

In algebra, symbols are used, and operators are used to connecting the symbols to one another. It is more than just a mathematical idea; it is a skill that we all utilize on a regular basis without even being aware of it.

After Donovan gives Mabel 6 pears, she has 6+x pears. If Mabel gives one-third of her pears to Nelson, he gets (1/3) * (6+x) pears = (2+x/3) pears. Therefore, Nelson has 2+x/3 pears.

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Answer:

Angle A: 52.5

Angle B: 68.9

Angle C: 58.6

Step-by-step explanation:

Brainliest?

:)

An articulated ladder should be utilized in a stepladder design for working on stairs. This structure is especially built for stairway safety and stability, with movable legs that can be placed to different heights to suit uneven stairs and give a level area for standing.

The size of a region on a surface is measured in area. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina. The total space occupied by a flat (2-D) surface or the form of an item is defined as its area. The area of a planar figure is the space contained by its border. The number of unit squares that cover the surface of a closed form is the figure's area. The area is the region defined by an object's form.

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Answer:

Not a function but a relation

Step-by-step explanation:

It is not a function because 10 is matched with both 4 and 20.

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2.

b = 1, ≥

From the diagram, the solution to the inequality is x ≥ 1 and x ≤ -3

Hence:

|x + b| ≥ 2

x + b ≥ 2 or -(x + b) ≥ 2

x ≥ 2 - b or x ≤ -2 - b

2 - b = 1 and -2 - b = -3

b = 1

Hence |x + 1| ≥ 2

The inequality solved to give a solution of x ≥ 1 and x ≤ -3 is |x + 1| ≥ 2. b = 1, ≥

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By using the concept of z-score, the pregnancy length value below which the shortest 5% of pregnancies fall is approximately 243.55 days (rounded to two decimal places).

The pregnancy length that is shorter than 5% is the value at the 5th percentile. The z-score for this value can be calculated as shown:

\($z=\frac{x-\mu}{\sigma}$$\)

Where x is the unknown value, µ is the mean of the distribution and σ is the standard deviation.

Hence, we have that,

\($-1.64=\frac{x-260}{10}$$\)

\($x=260+(-1.64)\cdot10 = 243.6$$\)

Therefore, by using the z-score formula 5% of pregnancy lengths are shorter than 243.6 days.

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Answer:

$3270

Step-by-step explanation:

A=P(1+rt)

A= final amount

P=start amount ($3000)

r=rate (18% or 0.18)

t=time (6 months)

A = 3000(1 + (0.18 × 0.5)) = 3270

we get differential  x₁(t) = c₁e^(-4t) - c₂e^(2t) - c₃e^(2t),x₂(t) = c₁e^(-4t) + c₂e^(2t),x₃(t) = c₁e^(-4t) + c₃e^(2t).To solve the given linear system of differential equations, we first find the eigenvalues and eigenvectors of the coefficient matrix.

The coefficient matrix in this case is

A = [[0, -2, -2], [-2, 0, -2], [-2, -2, 0]].

By solving the characteristic equation det(A - λI) = 0, where λ is the eigenvalue and I is the identity matrix, we can find the eigenvalues. In this case, the eigenvalues are λ₁ = -4, λ₂ = 0, and λ₃ = 4.

Substituting the values of Y and P, we have:

[ x₁ ] [ 1 -1 -1 ] [ y₁ ]

[ x₂ ] = [ 1 1 0 ] * [ y₂ ]

[ x₃ ] [ 1 0 1 ] [ y₃ ]

Multiplying the matrices, we get:

[ x₁ ] [ y₁ - y₂ - y₃ ]

[ x₂ ] = [ y₁ + y₂ ]

[ x₃ ] [ y₁ + y₃ ]

Therefore, the solutions for the original system of differential equations are:

x₁(t) = y₁(t) - y₂(t) - y₃(t)

x₂(t) = y₁(t) + y₂(t)

x₃(t) = y₁(t) + y₃(t)

Substituting the solutions for y₁, y₂, and y₃ derived earlier, we can express the solutions for x₁, x₂, and x₃ in terms of the constants of integration c₁, c₂, and c₃:

x₁(t) = c₁e^(-4t) - c₂e^(2t) - c₃e^(2t)

x₂(t) = c₁e^(-4t) + c₂e^(2t)

x₃(t) = c₁e^(-4t) + c₃e^(2t)

These equations represent the solutions to the original system of differential equations using the techniques of diagonalization and decoupling.

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The first and foremost rule for determining if 2 triangles are similar is checking if their angles are the same. Obviously, in this example, the angles are completely different, so the triangles are not similar.

Have a nice day!

And good luck on the assignment!

The answers to the questions involving trigonometry are: 90, BC/AB ÷ BC/AB = 1, g = 6.5, <I = 62 degrees, h= 13.8, 12.0, x = 6.8, x = 66.4, 160.6, The pole = 6.7

Trigonometric ratios are special measurements of a right triangle, defined as the ratios of the sides of a right-angled triangle.  There are three common trigonometric ratios: sine, cosine, and tangent

For page 3 question 3,

a) <A + <B = 90 since <C = right angle

b) SinA = BC/AB and CosB = BC/AB

The ratio of the two angles BC/AB ÷ BC/AB = 1

I notice that the ratio of sinA and cosB gives 1

b) The ratio of CosA and SinB will give

BC/AB ÷ BC/AB

= BC/AB * AB/BC = 1

For page 5 number 3

Tan28 = g/i

g/12.2 = tan28

cross multiplying to have

g = 12.2*tan28

g = 12.2 * 0.5317

g = 6.5

b) the angle I is given as 90-28 degrees

<I = 62 degrees

To find the side h we use the Pythagoras theorem

h² = (12.2)² + (6.5)²

h² = 148.84 +42.25

h²= 191.09

h=√191.09

h= 13.8

For page 6

1) Sin42 = x/18

x=18*sin42

x = 18*0.6691

x = 12.0

2) cos28 = 6/x

xcos28 = 6

x = 6/cos28

x [= 6/0.8829

x = 6.8

3)  Tan63 = x/34

x = 34*tan63

x= 34*1.9526

x = 66.4

4) Sin50 123/x

xsin50 = 123

x = 123/sin50

x = 123/0.7660

x =160.6

5)  Sin57 = P/8

Pole = 8sin57

the pole = 8*0.8387

The pole = 6.7

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Answer:

1, 5, 10, 10, 7, 1

Step-by-step explanation: Count

The frequency table is given below.

Days to produce Fruit            Frequency

         40-50                                  1

         50-60                                 4

         60-70                                 9

         70-80                                 9

         80-90                                 6

        90-100                                 1

A frequency table displays a sequence of scores in either increasing or decreasing order together with their occurrences as a way to compactly organize raw data.

The data represents the number of days it takes for different tomato plants to produce tomatoes. The data is given below.

47, 52, 90, 55, 53, 88, 89, 70, 72, 60, 61, 62, 75, 75, 72, 63, 65, 65, 75, 76, 68, 85, 78, 80, 82, 57, 65, 77, 81, 65.

Arrange the data in ascending order, then we have

47, 52, 53, 55, 57, 60, 61, 62, 63, 65, 65, 65, 65, 68, 70, 72, 72, 75, 75, 75, 76, 77, 78, 80, 81, 82, 85, 88, 89, 90

Then the frequency table is made below.

Days to produce Fruit            Frequency

         40-50                                  1

         50-60                                 4

         60-70                                 9

         70-80                                 9

         80-90                                 6

        90-100                                 1

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Answer:

Step-by-step explanation:

The surface area of the cone would be the sum of the lateral surface area of the cone and the total surface area of the cylinder (one side open)

Lateral surface area of cone = πrl

Diameter of cone = 8 in

Radius, r = 8/2 = 4 in

height of cone = 3 in

To find the slant height, l, we would apply Pythagoras theorem. Thus

l² = 4² + 3² = 25

l = √25 = 5 in

Lateral surface area of cone = π × 4 × 5 = 20π

Formula for total surface area of cylinder required(one side open) is

2πrh + πr²

From the information given,

Height of cylinder, h = 5 in

Radius of cylinder = radius of cone = 4 in

Total surface area = (2 × π × 4 × 5) + (π × 4²) = 40π + 16 π = 56π

The surface area of the rocket = 20π + 56π = 76π sq. in

Answer:

Choice B:  76π sq. in.

Step-by-step explanation:

I took the test already :)

3b + 0.5a

the variables b and a are unknown values that represent the number of bananas and apples to be bought. These are next to each of its prices for it to be multiplied once we know the variable.

The costs of the fruits are to be added and you will end up with the total cost of fruits.

Prospective observational studies involve collecting data from participants before an event or outcome occurs, while retrospective observational studies collect data after the event has already taken place.

A prospective observational study is a type of observational study that involves collecting data from participants before an event or outcome occurs. This type of study is used to predict and measure outcomes in the future.

In this type of study, the researcher can control the variables, such as when and how the data is collected, and can also observe the effects of any changes in the environment.

On the other hand, a retrospective observational study is a type of observational study that involves collecting data after an event or outcome has already taken place. This type of study is used to study the causes of a given outcome.

In this type of study, the researcher looks back in time and collects data from the past. This type of study is more limited than a prospective observational study, since the researcher cannot control the variables of the study or observe any changes in the environment.

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The given statement When inserting a value into a partially-filled array in descending order, the insertion position is indeed the index of the first value smaller than the value being inserted is true.

What is partially filled array?

A partially filled array, also known as a sparse array, is an array data structure where not all elements are populated with values. In other words, it is an array that contains empty or uninitialized elements.

When inserting a new value into this sorted array, we start from the beginning and compare the value with each existing element until we find the first element that is smaller. The insertion position for the new value is the index of this first smaller element.

For example, if we have a partially-filled array [10, 8, 5, 3] and we want to insert the value 6 into the array in descending order, we compare 6 with each element from left to right. The first element smaller than 6 is 5, and its index is 2. Therefore, the insertion position for the value 6 would be index 2, resulting in the updated array [10, 8, 6, 5, 3].

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Answer:

if you mean \(\frac{\sqrt{-1} }{8}\) then the answer\((1/8)i\)

and if you mean:\(\sqrt{\frac{-1}{8}}\) then the answer is\(\frac{i\sqrt{2} }{4}\)

Hence, the answer value of \(\sqrt\frac{-1}{8}\) is \(i\frac{\sqrt2}{4}\).

What is the fraction?

A fraction represents a part of a whole or, more generally, any number of equal parts

As per the given information

i.e.,

\(\sqrt\frac{-1}{8}=i\frac{\sqrt2}{4}\)

Hence, the answer value of \(\sqrt\frac{-1}{8}\) is \(i\frac{\sqrt2}{4}\).

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Answer:

x=-7/5

Good Luck!!!

Answer:

x= -7/5 trust me

Step-by-step explanation:

i worked the equation out for u

Answer:

f=-1/9

Step-by-step explanation:

Answer:

First, isolate the variable, f. Subtract 4 to both sides to result with 2f > -7f -1.

Then, add 7f to both sides to result with 9f > -1. Now, we can divide 9 to both sides to get f > -1/9.

Answer:

292 and 2092

Step-by-step explanation:

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

Total : 240 + 600 + 90 = 730

So, cost of painting = 730/25 x 10 = 29.2 x 10 = 292

Total: 292 + 1800 = 2092

The total cost of paint would be 2092 dollars.

The area of the cuboid is the sum of product of the length, breadth of the given prism.

Surface area:

Wall 1: 40 x 3 = 120m^2

Wall2: 40 x 3 = 120m^2

Wall 3: 15 x 3 = 45m^2

Wall 4: 15 x 3 = 45m^2

Ceiling: 15 x 40 = 600m^2

The Total area: 240 + 600 + 90 = 730

So, The cost of painting = 730/25 x 10

= 29.2 x 10

= 292

Total: 292 + 1800 = 2092

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Answer:

10x + 25 less than or equal to (the sign) $55

Step-by-step explanation:

Answer:

The inequality is 10x + 25 \(\geq\) 55

Step-by-step explanation:

This would be the possible inequality, because it says that "EACH" shirt costs 10$ meaning that Kelsey may buy multiple, which is why you would want to put 10x (for every shirt she buys they each cost 10 dollars) and PLUS she wants a pair of sneakers, so add 25 $

She has only 55$ to spend, so here MAXIMUM amount she can spend is 55$ which means, she can only buy whatever she wants for 55$ or lower.

Answer:

$11,990

Step-by-step explanation:

$110x$109

correct me if im wrong :)

Answer:

14 mm squared is the area

Step-by-step explanation:

The equation 3x = 6.4 can be solved for x by dividing both sides of the equation by 3: 3x/3 = 6.4/3; x = 2.13

So, for 3x and 6.4x to be equal, x must be equal to 2.13. This means that you need to multiply the number 6.4 by 2.13 to equal 3. The equation 3x = 6.4 represents the relationship between two variables, x and 3x. We are trying to find the value of x that would make 3x equal to 6.4. To do this, we divide both sides of the equation by 3. Dividing both sides of an equation by the same number does not change the relationship between the variables; it only scales down the variable's value by the same factor.

So, by dividing both sides of the equation by 3, we get:

3x/3 = 6.4/3

x = 2.13

Finally, to make 6.4x equal to 3, we need to divide 6.4 by 2.13: 6.4 / 2.13 = 3. So, we need to multiply 6.4 by 2.13 to equal 3.

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The terms that match the definitions are the index of quality variation, variance, range,  interquartile range, lower quartile, upper quartile, standard deviation, and measures of variability.

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Answer:

Step-by-step explanation:

B, C, and D

By doing 5÷8 = .625 you know that Hang can read .625 of a page per minute.

You can do this for the rest of the people finding that Kira reads .5 page per minute which is a slower/ smaller ratio, Joe rate is .66, Quon's ratio is .71 and Lulus rate is .76, the only rate that is smaller than Hangs is Kira,s, leaving you with Joe, Quon, and Lulu to be your answer