In the figure below, how many paper (in term of pi) is wasted if the largest possible circle with a diameter of d is cut out of the square?А. d - pi * d ^ 2B. d^ 2 pi/4C. (d ^ 2 * pi)/4 - d ^ 2D. (4d ^ 2 - d ^ 2 * pi)/4

Answer:

189

Step-by-step explanation:

(13.5 / 100) 1400 = 189

yw ;)

a) The data is not symmetric

b) The complete table:

  Class interval         Frequency         Relative Frequency

c) Proportion of subdivisions has total length less than 2000 is 0.49

Proportion of the subdivisions has total length between 2000 and 4000 is 0.36

a) To draw the stem and leaf plot we take the thousandth place digit as stem and the leaf is obtained by remaining digits.

       Stem     Leaf

The data is not symmetric

b) To draw the histogram first we form the frequency distribution and the relative frequency using the formula

Relative Frequencies are given by

Relative frequency = Frequency / Total frequency

     Class interval         Frequency         Relative Frequency

                                       = 47

Histogram attached at end of solution

The histogram is approximately positively skewed.

c) Proportion of lengths less than 2000 = sum of relative frequency from 0 to 2000

= 0.26 + 0.23

Proportion of subdivisions has total length less than 2000 = 0.49

Proportion of length between 2000 and 4000 = sum of relative frequency between 2000 and 4000

= 0.21 + 0.15

Proportion of the subdivisions has total length between 2000 and 4000 = 0.36

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Yes ,induction can be used to prove the following is true for every nonnegitive integer n.

If P (n) is true, so is P (n + 1) because this argument holds true for any nonnegative integer n, it establishes the second fact required by the induction proof. As a result of the Induction Principle, the predicate P (m) is true for all nonnegative integers, m.

Mathematical induction is a technique for proving the truth of a statement, theorem, or formula for each and every natural number n. This is generalized as the 'Principle of Mathematical Induction,' which we would use to prove any mathematical statement.

For instance, 13 +23 + 33 +..... +n3 = (n(n+1) / 2)

The statement is assumed to be true for all natural number values in this case.

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Answer:

3(12 + 7)

Step-by-step explanation:

To find the GCF of 36 and 21, list out their factors.

36: 1, 2, 3, 4, 6, 9, 12, 18, 36

21: 1, 3, 7, 21

The greatest factor which both numbers share is 3.

Therefore, you can factor 36 + 21 as 3(12 + 7)

Answer: It will take Susan 420 minutes to read 210 pages of her novel.

Answer: use photo. math

Step-by-step explanation:

boom

To find a dilation in math you have to find a multiple of pre image.

Dilation is the enlarging or shrinking of a mathematical element (a point on a coordinate grid, polygon, line segment) using a specific scale factor.

The position and size of a figure can change, but not the shape.

All dilations begin with a center. This can be a single point on a coordinate grid, the middle of a polygon, or any fixed point in space.

From that center of dilation, the preimage – the mathematical element before scaling – is enlarged, inverted, or shrunk to form the image. The preimage and image are similar figures.

The scale factor of a dilation is the amount by which all original terms are enlarged or shrunk, usually on a coordinate plane

To find a dilation in math firstly see if there graph or figure have any common multiple (scale factor) . This common factor should be multiplied by both the coordinates only then you can say that a graph is being dilated.

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To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2.

The five regular polyhedra, also known as the Platonic solids, are the only convex polyhedra where all faces are congruent regular polygons, and the same number of polygons meet at each vertex.

The five regular polyhedra are:

1. Tetrahedron: It has four triangular faces, and three triangles meet at each vertex.

2. Cube: It has six square faces, and three squares meet at each vertex.

3. Octahedron: It has eight triangular faces, and four triangles meet at each vertex.

4. Dodecahedron: It has twelve pentagonal faces, and three pentagons meet at each vertex.

5. Icosahedron: It has twenty triangular faces, and five triangles meet at each vertex.

To prove that there are only these five regular polyhedra, we can consider Euler's polyhedron formula, which states that:

"for any convex polyhedron, the number of vertices (V), edges (E), and faces (F) satisfy the equation V - E + F = 2".

For regular polyhedra, each face has the same number of sides (n) and each vertex is the meeting point of the same number of edges (k). Therefore, we can rewrite Euler's formula for regular polyhedra as:

V - E + F = 2  

=>  kV/2 - kE/2 + F = 2  

=>  k(V/2 - E/2) + F = 2

Since each face has n sides, the total number of edges can be calculated as E = (nF)/2, as each edge is shared by two faces. Substituting this into the equation:

k(V/2 - (nF)/2) + F = 2  

=>  (kV - knF + 2F)/2 = 2  

=>  kV - knF + 2F = 4

Now, we need to consider the conditions for a valid polyhedron:

1. The number of faces (F), edges (E), and vertices (V) must be positive integers.

2. The number of sides on each face (n) and the number of edges meeting at each vertex (k) must be positive integers.

Given these conditions, we can analyze the possibilities for different values of n and k. By exploring various combinations, it can be proven that the only valid solutions satisfying the conditions are:

(n, k) pairs:

(3, 3) - Tetrahedron

(4, 3) - Cube

(3, 4) - Octahedron

(5, 3) - Dodecahedron

(3, 5) - Icosahedron

Therefore, there exist only five regular polyhedra.

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Answer:

see attached

Step-by-step explanation:

Solved in attachment

Answer:

C.

Step-by-step explanation:

Its C becase, A is not a viable answer because the some of the outputs are not positive. And not B because one input yields 1 output not multiple so its not B. And its not D because as you can see the 'y' side has 2 of the same numbers so its not D. Therefore, the answer is C!

Answer:

C

Step-by-step explanation:

Answer:

4 is B and 6 is A but the rest are correct

Answer: 1/8

Step-by-step explanation:

First make the bottom half the same:

3/4*2/2=6/8

We don’t need to change the first portion since they have a common factor

7/8-6/8=1/8

According to the concept of algebraic expression and arithmetic, the correct answers are A) Number of adults = N - 25. B) Number of adults when N = 124: 124 - 25 = 99

A) Let's denote the number of children as N. Since there are 25 fewer adults than children, the number of adults can be expressed as N - 25.

B) If there are 124 children, we substitute N with 124 in the expression from part A. Thus, the number of adults would be 124 - 25 = 99.

To arrive at these answers, we used the given information that there are "N" children and 25 fewer adults than children. By substituting the value of N, we determined the number of adults in terms of N and then calculated the specific number of adults when N is equal to 124.

Note: The given question is incomplete. The complete question is:

Some adults and children are watching a musical. there are 'N' number of children. There are 25 fewer adults than children.

A) find the number of adults in terms of 'N'.

B) if there are 124 children how many adults are there?​

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Answer:

∠1 = 52

∠2 = 128

∠3 = 52

Step-by-step explanation:

∠2 = ∠4 Because of vertical angles

∠1 = ∠3 Because of vertical angles

∠1 + ∠4 = 180 Because of supplementary angles

Here, we are given that ∠4 = 128°

∠4 = ∠2 So ∠2 = 128°

∠1 + ∠4 = 180

∠4 = 128°

∠1 + 128° = 180

==> subtract 128 from both sides

∠1 = 52

∠1 = ∠3

∠1 = 52 meaning that ∠3 = 52

Answer:

m<1 = 52°

m<3 = 52°

m<4 = 128°

Step-by-step explanation:

Given: m<2 = 128°

<1 is supplementary to <2.

m<1 + m<2 = 180°

m<1 + 128° = 180°

m<1 = 52°

Angles 1 and 3 are vertical angles, so they are congruent.

m<3 = 52°

Angles 2 and 4 are vertical angles, so they are congruent.

m<4 = 128°

Answer:

2/3 x - 5 < 11

2/3 x < 16 (add 5 to both sides)

x < 16 * 3/2 (multiply both sides by 3/2)

x < 24

Step-by-step explanation:

Answer: the bottom two graphs show continuous data

Step-by-step explanation:

The expression showing the total distance traveled in all is;

The part describing the distance traveled to and from Nashville is 1041n

Here, we want to write an expression

We are told to represent the number of unknown round trips to Nashville by n

A total of four round trips was made to Erie

1 round trip to Erie is a distance of 205 miles

4 round trips to Erie will be;

4 * 205 = 820 miles

The unknown number of round trips to Nashville is n

1 round trip t Nashville is a distance of 1,041 miles

Thus, n round trips will be;

1041 * n = 1041n miles

Thus, the total number of miles it traveled in all will be;

(820 + 1041n) miles

The part of the expression representing the number of miles it traveled to and from Nashville is 1041n miles

Given that,

Comparing real and imaginary parts,

Therefore,

Matrix A is invertible such that A⁻¹ = - A - 3I. This is solved using the Calely Hamilton Theorem.

This theorem says that every square matrix satisfies its own characteristic equation. In other words, the scalar polynomial

p(λ) = det(λI − σ) also holds for the stress polynomial p(σ).

It also states that The roots λ₁, λ₂........λₙ of a typical equation (aₙλₙ + aₙ₋₁ λⁿ⁻¹ + ...... a₁ λ + a₀)  will indicate the nature of the Matrix A. If either of the roots of the attributes equation is 0, the matrix's determinant becomes zero. As a result, the matrix is non-invertible.

Based on the above, we know that Matrix A fulfills the qualities below::

A²+3A + I = 0

Since every square matrix fulfills its own characteristic

λ₁ + λ₂ = -3

λ₁ x λ₂ = 1 ≠ 0

This is true for any order of a square matrix. That is:
λ₁ x λ₂ x λ₃ x........ x λₙ ≠ 0

Thus

|A| = λ₁ x λ₂ x λ₃ x........ x λₙ

|A| ≠ 0 → Invertibel Matrix

A² + 3A + I = 0
I = -A² - 3A
A⁻¹ x I = A⁻¹ (-A - 3A); hence

A⁻¹ = - A - 3I

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The 99% confidence interval for the population proportion p is :lower bound= 0.225, upper bound 0.375

What does a confidence interval actually mean?

Your estimate's mean is added to and subtracted from by the estimate's range to create a confidence interval. If you repeat your test, within a specific level of confidence, this is the range of values you anticipate your estimate to fall within.

Given that,

n = 250

x = 75

Point estimate = sample proportion =  p = x / n = 75/250=0.3

1 -  p =1 - 0.3=0.7

At 99% confidence level the z is ,

α  = 1 - 99% = 1 - 0.99 = 0.0

α / 2 = 0.01 / 2 = 0.005

Z /2 = Z0.005 = 2.576  (  Using z table   )  

Margin of error = E = Zα / 2 * √(( p * (1 -  p)) / n)

                              = 2.576 (√((0.3*0.7) /250 )

                            E  = 0.075

A 99% confidence interval for population proportion p is ,

p - E < p <  p + E

0.3 -0.075 < p < 0.3 + 0.075

0.225< p < 0.375

The 99% confidence interval for the population proportion p is :lower bound= 0.225, upper bound 0.375.

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f(x)=x is the parent function of the given function  f(x) = -2x + 2

A relation is a function if it has only One y-value for each x-value.

The given function is f(x)=-2x+2

We have to find the parent function of the given function.

A parent function is the simplest function of a family of functions that preserves the definition of the entire family.

f(x)=x is the parent function because from this function we can make transformations that allow us to obtain the function f(x) = -2x + 2

Hence, f(x)=x is the parent function of the given function  f(x) = -2x + 2

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Answer:

All of the examples define relations between a domain and range.

Such a relation will be a function if and only if each value in the domain corresponds to at most one value in the range.

In the first example, the value

−

1

in the domain is associated with two values in the range, namely

−

5

and

1

.

In the second example, the value

−

1

in the domain is associated with two values in the range, namely

7

and

1

.

In the third example, the value

3

in the domain is associated with two values in the range, namely

2

and

4

.

In the fourth example, each of the values in the domain is associated with one value in the range, so this describes a function. Note however that the values

−

4

and

−

7

are both mapped to

5

. So the function described is not one to one and consequently its inverse is not a function.

Solution:

Given:

A table representing an exponential function.

The x-values represent the terms, while the y-values represent the numbers.

The common ratio is gotten from the numbers (y-values).

The formula for common ratio is given by;

Therefore, the common ratio is 3.

The amount received from loans as a number in millions is 242,700 million rand.

Deducing value A requires computation of collective income sources, for which the following summation suffices:

Total Income = Tax + Loans + ASC + QP + Other income + Non-tax income = 1370 + 242.7 + 180.3 + 31.5 + A + 0 = 1825.5 + A

In this context, it follows that A amounts to (1825.5 - 1370 - 242.7 - 180.3 - 31.5) = 0 million rand.

Conversely determining missing value B necessitates subtraction of total expenditure from accumulated revenue, giving rise to the subsequent formula:

Total Income - Total Expenditure = B

(1825.5 - 112.7 - 278.4 - 262.4 - 222.6 - 211.0 - 209.2 - 208.5 - 202.2 - 0) = B

Following calculation, B equates to -77.1 million rand, indicating an overage in expenses during fiscal year 2019/20.

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Step-by-step explanation:

Compare the rates

Whichever has the smaller rate is the best deal.

remember, to be able to compare both cereal boxes they must have the same unit of measure (grams with grams, ounces with ounces, etc.)

Answer:

Price of box of cereal #1

---------------------------- = $ per ounce(or other unit)

Size of box #1 (in ounces,

or some other unit)

Answer:

slope of -2

Step-by-step explanation:

the slope of this equation is -2 and the parallel slope would be the same slope.

Answer:

don't spend our time here

this is a spamm community

Answer:

sqrt(41)

Step-by-step explanation:

Using pythagoras theorem