can anyone help me solve this twenty points if you solve it

The number of plants Ethan has are 5.

Two or more expressions with an Equal sign is called as Equation.

Let x be the number of plants Ethan has.

Ethan uses 3.5 ounces of water for each plant, so he will use a total of 3.5p ounces of water.

If he starts with 32 ounces of water and ends up with 14.5 ounces

Total of 32 - 14.5 = 17.5 ounces of water.

As given the amount of water used is equal to the amount of water per plant times the number of plants:

3.5x = 17.5

Divide both sides by 3.5

x=5

Hence, , Ethan has 5 plants.

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Answer:

1. If the roots of the quadratic equation ax2 + bx + c = 0 are real, irrational, and unequal, then the value of the discriminant is

2. Factored completely, the expression 16 tanθ - tan3θ is equivalent to

3. High school officials wanted to assess the need for a new diving board. They created a survey and distributed it to a large, diverse crowd at the State Swim Meet held at their school. Which characteristic of the survey is most likely to create a bias?

4. Which expression is equivalent to cos P cos 50 - sin P sin 50?

5. What is the product of the roots of the quadratic equation 2x2 - x = 4? 6. In which method of data collection does the researcher intentionally intervene to arrange for a comparison of results?

7. Which equation could be represented by the graph below?

8. The first four terms of the sequence with a1 = 40 and an = 3/4 an-1 are

9. Which diagram represents an angle of 7/4 pi; radians in standard position?

Step-by-step explanation:

Answer:

The one with the √

Step-by-step explanation:

If it has a √ it always means its irrational

Hope this helps!

The ratio of the final surface charge density (ηf) to the initial surface charge density (ηi) is given by 3.68 * \(Q_i / (A_i \times A_i).\)

To understand the concept and solve this problem, we need to consider the relationship between surface charge density, area, and charge. Surface charge density (σ) is defined as the charge (Q) per unit area (A). Mathematically, we can express this relationship as σ = Q/A.

Let's assume the initial area of the irregular shape is \(A_i\), and the final area after each dimension is reduced is \(A_f\). Since each dimension (x and y) is reduced by a factor of 3.68, we can write the relationship between the initial and final areas as:

\(A_f = (1/3.68) \times A_i\)

Now, let's consider the relationship between charge and area. Since the charge remains constant for a given area, we can express it as \(Q_i = Q_f\), where \(Q_i\) is the initial charge and \(Q_f\) is the final charge.

Since the charge remains constant, the ratio of the surface charge densities can be expressed as:

ηf/ηi = \(\sigma _f/\sigma _i = Q_f/A_f / Q_i/A_i\)

Substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_f/A_f / Q_i/A_i = Q_f / (A_f * Q_i) * (A_i / Q_i)\)

Canceling out the \(Q_i\) terms, we get:

ηf/ηi = \(Q_f / (A_f * Q_i) * (A_i / Q_i) = Q_f / (A_f * A_i)\)

Since \(Q_i = Q_f\), we can simplify further:

ηf/ηi = \(Q_f / (A_f * A_i) = Q_i / (A_f * A_i)\)

Now, substituting the expressions for area into the equation, we have:

ηf/ηi = \(Q_i / (A_f * A_i) = Q_i / ((1/3.68) * A_i * A_i)\)

Simplifying, we find:

ηf/ηi = 3.68 x \(Q_i / (A_i \times A_i).\)

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Complete Question:

The irregularly shaped area of charge in the figure has surface charge density ηi. Each dimension (x and y) of the area is reduced by a factor of 3.68.

What is the ratio ηf/ηi where ηf is the final surface charge density?

Answer:

Perimeter=32

Step-by-step explanation:

Perimeter=Sum of all sides

=8+2+2(on opposite side) +3+3+6+6(on opposite side) +(8-(3+3)) [The bottom side] =32

Answer:

4:1

Step-by-step explanation:

A is basically 4 times bigger than B

A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

To show that if T ∈ T(n), then T^2 = F(1, n), where T represents the transpose operator and F(1, n) represents the identity matrix of size n×n:

Let's consider an arbitrary matrix A ∈ T(n), which means A is a square matrix of size n×n.

By definition, the transpose of A, denoted as A^T, is obtained by interchanging its rows and columns.

Now, let's calculate (A^T)^2:

(A^T)^2 = (A^T) * (A^T)

Multiplying A^T with itself is equivalent to multiplying A with its transpose:

(A^T) * (A^T) = A * A^T

Since A is an arbitrary matrix in T(n), we know that A * A^T = F(1, n), where F(1, n) represents the n×n identity matrix.

Therefore, we have shown that if T ∈ T(n), then T^2 = F(1, n).

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The area of the shape is 110 square centimeters

From the diagram, the shape can be subdivided into rectangles of the following dimensions:

So, the area of the shape is the sum of the areas of the three rectangles.

This gives

\(Area = 6cm \times 11cm + 5cm \times 6cm + 7cm \times 2cm\)

Evaluate the products

\(Area = 66cm^2 + 30cm^2 + 14cm^2\)

Add the terms

\(Area = 110cm^2\)

Hence, the area of the shape is 110 square centimeters

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she wrote divide 2 on both sides and also she wrote plus 11 which should be minus 11

Answer:

2x + 11= 71

     -11    -11

2x/2    = 60/2

x= 30

2 x 30 + 11= 71      

Step-by-step explanation:

:))

Answer:

y=-x²+8x+16

Step-by-step explanation:

y= -3(x – 4)(x – 4)

We multiply

y=(-3x+12)(x-4)

Expand the bracket

y= x(-3x+12) -4(-3x+12)

y=-3x²+12x

-4(-3x+12)

+12x+48

y=-3x²+24x+48

Divide by 3

y=-x²+8x+16

Answer:

No, 18 7 10 are can not make a triangle.

Step-by-step explanation:

First of all, what does a Triangle?

A flat geometric figure that has three sides and three angles. OR something that has three sides and three angles a triangle of land.

Three sides form a triangle :  if sum of length of two sides is greater than the third side. But here

10+7=17 < 18.

That is the sum of two sides (10+7) is less than the third side i.e 18

So that 18 7 10 are can not make triangle.

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Answer:

18 7 10 are can not make a triangle.

Step-by-step explanation:

Definition of a Triangle

A figure that has three sides and three angles is knows as a triangle

And a property of a triangle is that the sum of length of two sides should always be greater than the third side.

We have given the length of sides as : 18 7 10

now check it :

(i) 18 + 7 = 25 which is greater than 10

(ii) 18 + 10 = 28 which is greater than 7

(iii) 7 + 10 = 17 which is lesser than 18

so  the sum of two sides (10+7) is less than the third side 18

Therefore 18 7 10 are can not make triangle.

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Answer:

7x <5x-16

Step-by-step explanation:

7x-5x < 5x -16 -5x

To find the probability of the event "the first die is 6 or the sum is 8," we need to count the number of outcomes that satisfy this event and divide it by the total number of possible outcomes.

To find the probability of the event "the first die is 6 or the sum is 8," we need to consider the total possible outcomes when rolling two dice and the favorable outcomes for this event.

Total possible outcomes: 6 sides on each die, so there are 6 x 6 = 36 possible outcomes.

Favorable outcomes:
1. First die is 6: There are 6 possible outcomes (6,1), (6,2), (6,3), (6,4), (6,5), and (6,6).
2. Sum is 8: There are 5 possible outcomes (2,6), (3,5), (4,4), (5,3), and (6,2).

However, (6,2) is counted twice, so we should subtract 1 from the total favorable outcomes: 6 + 5 - 1 = 10.

Probability = Favorable outcomes / Total possible outcomes = 10/36. Simplifying the fraction gives 5/18.

So, the probability of the event "the first die is 6 or the sum is 8" is 5/18.

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Answer:

108 books.

Step-by-step explanation:

Let the number of magazines = m

Let the number of books = b

Given the following data;

Total number of m & b = 162

Translating the word problem into an algebraic equation, we have;

\( b = m + 54\) ......equation 1

\( m + b = 162\) ......equation 2

Substituting equation "1" into equation "2" we have;

\( m + m + 54 = 162\)

\( 2m + 54 = 162\)

\( 2m = 162 - 54\)

\( 2m = 108\)

\( m = \frac {108}{2}\)

m = 54

Now to find the number of books;

\( b = m + 54\)

Substituting the value of "m" into the equation, we have;

\( b = 54 + 54\)

b = 108

Therefore, the total number of books in the library is 108 books.

Answer:

He got 49 - 42 = 7 wrong. 7 out of 49 can be written as 7/49 which simplifies to 1/7.

Answer:

7/49=1/7

Step-by-step explanation:

Wrong questions: 49-42=7

7/49=1/7.

Por definición de probabilidad condicional, la probabilidad de que un paciente sea hombre, dado que finge una enfermedad es 12,5 %.

En primer lugar, debes saber que la Probabilidad es la mayor o menor posibilidad de que ocurra un determinado suceso.

En otras palabras, la probabilidad establece una relación entre el número de sucesos favorables y el número total de sucesos posibles.

La probabilidad condicional P(A|B) es la probabilidad de que ocurra un evento A, sabiendo que también sucede otro evento B. Esto es, es la probabilidad de que ocurra el suceso A si ha ocurrido el suceso B. Se define como:

P(A|B) = P(A∩B)÷ P(B)

En este caso, se llama suceso A al evento de que los pacientes fingen tener una enfermedad (para obtener un certificado médico), mientras que el suceso B será el evento de que los pacientes del consultorio son hombres.

Siendo el suceso A∩B (A intersección B)  cuando A y B ocurren simultáneamente, entonces sabes:

Entonces, la probabilidad de que un paciente finge una enfermedad,  dado que el paciente es un hombre es calculada como:

P(A|B) = P(A∩B)÷ P(B) → P(A∩B)= P(A|B)× P(B)

Reemplazando los valores correspondientes:

P(A∩B)= 0,5× 0,1

Resolviendo:

P(A∩B)=0,05

Finalmente, la probabilidad de que un paciente sea hombre,  dado que finge una enfermedad, es calculada como:

P(B|A) = P(A∩B)÷ P(A)

Reemplazando los valores correspondientes:

P(B|A) = 0,05÷ 0,4

Resolviendo:

P(A∩B)=0,125= 12,5 %

Finalmente, la probabilidad de que un paciente sea hombre, dado que finge una enfermedad es 12,5 %.

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Answer:

It is $2.79

Step-by-step explanation:

You take $8.37 and divide it by 3 then you get $2.79. So for 1 can its $2.79.

Answer:

i dont know im not that smart ask someone else dude

Step-by-step explanation:

Answer:

2700

Step-by-step explanation:

1st method:

let x be the number of all workers in the company

then, the number of female workers will be x-0.85x = 0.15x

0.15x = 405

x = 405/0.15 = 2700

2nd method

we know that the 405 people who aren't men make 15% (100%-85%) of the whole number of workers, by using proportions:

15% - 405

100% - X

X = (100% * 405 )/15% = 2700

An ogive is used to plot cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class when displaying quantitative data. Option B.

An ogive is a graph that represents a cumulative distribution function (CDF) of a frequency distribution. It shows the cumulative relative frequency or cumulative frequency of each class plotted against the upper limit of the corresponding class. In other words, an ogive can be used to represent data through graphs by plotting the upper limit of each class interval on the x-axis and the cumulative frequency or cumulative relative frequency on the y-axis.

An ogive is used to display the distribution of quantitative data, such as weight, height, or time. It is also useful when analyzing data that is not easily represented by a histogram or a frequency polygon, and when we want to determine the percentile or median of a given set of data. Based on the information given above, option B: "Cumulative frequency or cumulative relative frequency of each class against the upper limit of the corresponding class" is the correct answer.

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Answer:

- 26

Step-by-step explanation:

g(-4)=-2*(-4)^2+6

g(-4)=-2*16+6

g(-4)=-32+6

g(-4)=-26

An expression is defined as a set of numbers, variables, and mathematical operations. The correct expression is B.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The expression that is equivalent to (f·g)(2) is,

f(x) = 7x²-3

g(x) = 5x

(g·f)(x) = g(f(x)) = 5(7x²-3)

                       = 5(7·2² - 3)

Hence, the correct expression is B.

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The given equation solved for x is x = (k + 5)/ y

From the question, we are to solve the given equation for x

The given equation is

xy - 5 = k

To solve the equation for x, we will simply make x the subject of the equation

Solving for x

xy - 5 = k

Add 5 to both sides of the equation

xy -5 + 5 = k + 5

xy = k + 5

Divide both sides of the equation by y

xy/y = (k + 5)/ y

x = (k + 5)/ y

Hence, the given equation solved for x is x = (k + 5)/ y

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Answer:

\( \sf x= \frac{(k + 5)}{y} \\ \)

Step-by-step explanation:

\( \sf \: xy - 5 = k\)

First, add 5 to both sides.

\( \sf \: xy = k + 5\)

Now, Divide both sides by y and make x the subject.

\( \sf \frac{xy }{y} = \frac{(k + 5)}{y} \\ \)

\( \sf x= \frac{(k + 5)}{y} \\ \)

If a data set contains three unique values, none of the given statements must be true.

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.

The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.

Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.

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Answer:

G 328 ft

Step-by-step explanation:

\( \cos(angleBAC) = \frac{AB}{AC} \)

\( \cos(55°) = \frac{AB}{400} \)

AB = 229.431 ft

AB² + BC² = AC²

229.431² + h² = 400²

h = 327.659 ft ≈ 328 ft

HOPE THIS HELPS AND HAVE A NICE DAY <3

The exact values of the sine, cosine, and tangent of the angle 255° are -1/√2, 1/√2, and -1, respectively.

To find the exact values of the sine, cosine, and tangent of the angle 255°, we can use the identity that relates the trigonometric functions of an angle to the trigonometric functions of its complement.

By expressing 255° as the sum of 300° and -45°, we can determine the exact values of the trigonometric functions for the given angle.

We know that the sine, cosine, and tangent of an angle are periodic functions, repeating every 360 degrees. To find the exact values of the trigonometric functions for 255°, we can express it as the sum of 300° and -45°, where 300° is a multiple of 360°.

Since the sine, cosine, and tangent functions are odd or even functions, we can use the values of the trigonometric functions for 45° to determine the values for -45°.

For 45°:

sin(45°) = cos(45°) = 1/√2

tan(45°) = 1

Since cosine is an even function, cos(-45°) = cos(45°) = 1/√2.

Since sine is an odd function, sin(-45°) = -sin(45°) = -1/√2.

Using the definition of tangent as the ratio of sine to cosine, tan(-45°) = sin(-45°) / cos(-45°) = (-1/√2) / (1/√2) = -1.

Therefore, for the angle 255°:

sin(255°) = -1/√2

cos(255°) = 1/√2

tan(255°) = -1

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Answer:

X= 13/6

and in decimal form:  x=2.16repeated

Answer:

10,445.

Step-by-step explanation:

Hope this helps!

(sorry if it's wrong)

Answer:

The rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5,  3.5·√3)

Step-by-step explanation:

The given polar coordinates is (7, 2·π/3)

Where, the 7 represent the distance, r, from the point of reference and 2·π/3, the angle, θ, from the reference point.

Polar coordinates are represented in rectangular form by the equivalence transformation equation given as follows;

The x-coordinate = Radius, r × cos(θ), which gives

We note that 2·π/3 radians = 2 × 180/3 = 120°

x = 7 × cos(2·π/3) = 7 × cos(120°) = 7 × (-0.5) = -3.5

x = -3.5

The y-coordinate = Radius, r × sin(θ), which gives

x = 7 × sin(2·π/3) = 7 × sin(120°) = 7 × (√3)/2 = 3.5·√3

y = 3.5·√3

Therefore, the rectangular coordinates of the point with polar coordinates (7, 2·π/3) is (-3.5, 3.5·√3).

Answer:

please see answers below

Step-by-step explanation:

a) if length, L, is 8 inches more than the width, W, then we can say

L = W + 8.

b) L X W = 65

(W + 8) X W = 65

W² + 8W = 65

subtract 65 from both sides:

W² + 8W - 65 = 0.

we can use completing the square, quadratic formula or factorisation to solve.

I will use completing the square.

1) put the W, not W ², in parenthesis.

2) half the coefficient (8) of W. that is 4. Put that into same parenthesis. Square the parenthesis.

3) we have (W + 4)²

4) Subtract (+4) ²  = 16 from this.

5)[(W + 4) ² - 16] – 65 = 0

6) now we have (W + 4) ² – 81 =0

7) (W + 4) ² = 81

8) (W + 4) = ± √81

9) W = ± √81  - 4

10) W = ±9 - 4. W = -13 or W = 5.

lengths are widths are positive, so W must be positive. So we choose 5.

L = W + 8 = 5 + 8 = 13.

check if it works for the area of 65.

L X W = 13 X 5 = 65.

so length is 13 inches and width is 5 inches