please help! please provide step by step explanation :)

The reasonable range for the total cost of the tickets the groups

would pay  is {84, 126, 2163}.

The sets of all the x-coordinates and all the y-coordinates of ordered pairs, respectively, are the domain and range of a relation.

A function's domain and range are its constituent parts. A function's range is its potential output, whereas its domain is the set of all possible input values.

Given:

The Function modeled for the situation is

f(x) = 21 x where x is the number of tickets sold.

So, For x= 4 Tickets

Fare, F(x) = 21 x 4= $84

and, For x= 6 Tickets

Fare, F(x) = 21 x 6 = $126

and, For x= 103 Tickets

Fare, F(x) = 21 x 103 = $2163.

Hence, the range is {84, 126, 2163}.

Learn more about Domain and Range here:

https://brainly.com/question/28135761

#SPJ1

Answer:

m = 0.122

Step-by-step explanation:

1 * 11 = 2 *45m

11 = 2*45m

11/2 = 45m

5.5/45 = m

First four are regular polygons

Last two are, non regular polygons

Then write for

HEXAGON. Degree of rot= 360°/6 = 60°. Reflection lines = 6

SQUARE. Degree of rot= 360°/4 = 90°. Reflection lines= 4

TRIANGLE. Degree of rot= 360°/3= 120°. Reflection lines= 3

PENTAGON. Degree of rot = 360°/5= 72°. Reflection lines= 5

Sound waves are different from light because they must travel through a material medium.

Light commonly refers to the sensation that is perceived by our eyes. Beyond that, is a term used to describe electromagnetic radiation. These are waves that contain  oscillating electric and magnetic fields.

All these electromagnetic waves travel at the same speed. The time that one cycle of the wave takes to travel is called its period. The product of this period and the velocity of the wave tell us how far the wave can travel horizontally. This is known as the wavelength.

Sound waves are different from light because they must travel through a material medium. The speed of sound is far less tan the speed of light.

Learn more about speed of light:https://brainly.com/question/394103

#SPJ1

The value of y is 4√3

Similar triangles have the same corresponding angle measures and proportional side lengths. The corresponding angles of similar triangles are congruent or equal.

Also , the ratio of corresponding sides of similar triangles are equal.

There are two triangles that are similar

Therefore;

y /16 = 4/y

y² = 48

y = √48

y = √16 × √ 3

y = 4√3

Therefore, the value of y is 4√3

learn more about similar triangles from

https://brainly.com/question/14285697

#SPJ1

Answer:

(1, -2) is the coordinate of B' after a rotation of 90 degrees

Answer:

114

Step-by-step explanation:

Billy has to read more than 10 hours per week, which is equal to 1060=<<1060=600>>600 minutes.

Since it takes him 30 minutes to finish his first book, he has 600-30=<<600-30=570>>570 minutes left.

He needs to divide this time equally amongst the other 5 days, so he must read a minimum of 570/5=<<570/5=114>>114 minutes per day.

We have a total of seven 4-tuples that satisfy the given relation.The given relation is {(a,b,c,d) | a,b,c,d∈!+ , a+b+c+d = 6}. It can be understood as the set of 4-tuples (a, b, c, d) such that a, b, c, and d are positive integers and their sum is equal to 6.

Let's now list all the possible 4-tuples that satisfy the given relation. The possible combinations are as follows: (1, 1, 1, 3), (1, 1, 2, 2), (1, 2, 1, 2), (2, 1, 1, 2), (1, 2, 2, 1), (2, 1, 2, 1), and (2, 2, 1, 1).

Here's a brief explanation on how these 4-tuples were obtained. Let a, b, c, and d be positive integers such that a+b+c+d = 6. The least possible value that each variable can take is 1.

So, we start with a=1 and find all possible values of (b, c, d) that satisfy the given equation. Then, we move to a=2 and repeat the process. Finally, we list all the possible 4-tuples that we obtained.

Thus, we have a total of seven 4-tuples that satisfy the given relation.

For more question on integers

https://brainly.com/question/929808

#SPJ8

5 and 25.

The problem you've presented is a system of equations. We can use algebraic methods to solve it.Let's call the two natural numbers x and y. According to the information you've provided, we know that:x + y = 30 (the sum of the two numbers is 30)

x - y = 20 (the difference between the two numbers is 20)To find the product of the two numbers, we can multiply them together. So we want to find:x * y = ?To solve for x * y, we'll use the equations we have. We can start by adding the two equations together:(x + y) + (x - y) = 30 + 20

2x = 50

x = 25 Now that we know the value of x, we can substitute it back into one of the original equations to find the value of y:x + y = 30

25 + y = 30

y = 5 So the two natural numbers are 25 and 5. To find the product of the two numbers, we'll multiply them together:x * y = 25 * 5 = 125The product of the two numbers is 125.

The sum of the internal angles of that figure is equal to 720, therefore:

Answer:

Step-by-step explanation:

In this question, we need to use the formula of means to solve the. We can set the number of beads Rajiv brings as X, and use the formula of mean to get the total number of beads that the Four(4) children have and the total number of beads that the Five(5) children have.

Four(4) children each have some beads, the mean number of beads is: 8

        4 * 8 = 32

We set the number of beads Rajiv brings as:

x, so the total number of beads that the Five(5) children have is:

32  +  x

The mean number of the Five(5) children is now: 9

      5  *  9   =  45

     32 +  x    =    45

      x  +  32  =    45

           -  32  =   -32

       x            =     13

By solving the above equation, you can get:

x  =  13

       13

Hope this helps!

(a). The statement can be translated into English as follows "Not exists x such that P(x) and Q(x), and for all y, if R(y) then P(y)." (b) The rewritten statement explicitly places the negation symbol "¬" only in front of the existential quantifier (∃x).  (c). This clarifies that the negation applies to the existence of x such that P(x) and Q(x).

a) Translation into English:

The statement can be translated into English as follows:

"Not exists x such that P(x) and Q(x), and for all y, if R(y) then P(y)."

b) Potential ambiguities in the translated statement:

Ambiguity in the scope of negation: The placement of the negation symbol "¬" might lead to ambiguity. It is not clear whether the negation applies only to the existential quantifier (∃x) or to the entire statement. Specifically, it is unclear if the negation applies to both conjuncts separately or to their conjunction as a whole.

Ambiguity in the scope of quantifiers: The scope of the quantifiers (∃x) and (∀y) is not explicitly defined. It is unclear which variables the quantifiers bind to and how they relate to the predicates P(x), Q(x), R(y), and P(y).

c) Rewritten statement to eliminate ambiguities while maintaining the original meaning:

To eliminate the ambiguities, we can rewrite the statement as follows:

(¬∃x)(P(x) ∧ Q(x)) ∧ (∀y)(R(y) → P(y))

The rewritten statement explicitly places the negation symbol "¬" only in front of the existential quantifier (∃x). This clarifies that the negation applies to the existence of x such that P(x) and Q(x). Additionally, parentheses are used to explicitly define the scope of the quantifiers (∃x) and (∀y), making it clear which variables they bind to.

For more such questions on symbol , Visit:

https://brainly.com/question/30289310

#SPJ11

The end behavior of the function f(n) = 3(n + 2)²(n - 3)(n - 2) is given as follows:

The end behavior of a function refers to how the function behaves as the input variable approaches positive or negative infinity.

The function for this problem is given as follows:

f(n) = 3(n + 2)²(n - 3)(n - 2).

Considering the degree, the function can be interpreted as follows:

\(3n^4\)

(for the limit when the input goes to infinity we consider only the term with the highest degree).

The leading coefficient is positive and the exponent is even, hence the end behavior is given as follows:

More can be learned about the end behavior of a function at brainly.com/question/1365136

#SPJ1

\((7.8*10^5)+(2.4 * 10^5)\)

\((7.8 * 100,000) + (2.4 * 100,000)\)

\(780,000 + 240,000\)

= 1,020,000

Answer:

1020000

Step-by-step explanation:

(7.8 x 10^5) + (2.4 x 10^5)

780000+240000

1020000

Hopes this helps please mark brainliest

Step-by-step explanation:

Step 3 is incorrect, it should be x - 4 + x = x(x - 3).

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

2x - 4 = x² - 3x

x² - 5x + 4 = 0

(x - 4)(x - 1) = 0

x = 4 or x = 1.

x = 4 is rejected as 1 / (x - 4) will become 1 / 0 which is undefined.

=> x = 1.

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

To determine the number of pounds of raw materials that should be purchased in July, we need to calculate the raw materials production needs for August and then consider the inventory policies given in the information provided.

Each unit of finished goods requires 5 pounds of raw materials. The budgeted unit sales for August are 19,000 units. Therefore, the raw materials production needs for August would be 19,000 units multiplied by 5 pounds per unit, which equals 95,000 pounds.

The ending raw materials inventory equals 10% of the following month’s raw materials production needs. Therefore, the desired ending raw materials inventory for July would be 10% of 95,000 pounds, which is 9,500 pounds.

To calculate the raw materials purchases for July, we need to consider the payment terms provided. Thirty-five percent of raw materials purchases are paid for in the month of purchase and 65% in the following month.

Let's assume the raw materials purchases for July are X pounds. Then the payment for 35% of X pounds will be made in July, and the payment for 65% of X pounds will be made in August.

The payment for raw materials purchases in July (35% of X pounds) will be:

0.35 * X pounds

The payment for raw materials purchases in August (65% of X pounds) will be:

0.65 * X pounds

Since the raw materials purchases for July should cover the desired ending raw materials inventory for July (9,500 pounds), we can set up the following equation:

Raw materials purchases in July - Payment for raw materials purchases in July = Desired ending raw materials inventory for July

X pounds - 0.35 * X pounds = 9,500 pounds

Solving this equation will give us the value of X, which represents the pounds of raw materials that should be purchased in July.

for such more question on equation

#SPJ8

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

I might be wrong but i'm pretty sure it's right

Answer:

316 should be your answer

Step-by-step explanation:

Answer:

3160

Step-by-step explanation:

.5% of what number is 15.8?

Let the unknown number be x.

0.5% * x = 15.8

0.005x = 15.8

x = 15.8/0.005

x = 3160

Answer:2, 7, 7, 6

Step-by-step explanation:

Answer:

1) 8/4 = 2

2) 21/3 = 7

3) 56/8 = 7

4) 48/8 = 6

Step-by-step explanation:

To convert a fraction into a whole number: Divide the numerator by the denominator.

What's a numerator?:

A numerator is the part of a fraction above the line. So, 8 in 8/4 is the numerator.

What's a denominator?:

A denominator is the  bottom number in a fraction. So, 4 in 8/4 is the denominator.

1) 8/4 = 8 divided by 4 = 2.

2) 21/3 = 21 divided by 3 = 7

3)56/ 8 = 56 divided by 8 = 7

4) 48 / 8 = 48 divided by 8 = 6

Answer:

The first increase was of 60%.

Step-by-step explanation:

The initial value of the product is x.

The first increase was of y.

The second increase is of 25%, that is, 1.25.

The final price was double the original, so 2x.

This situation can be modeled by the following equation:

\(xy(1.25) = 2x\)

We want to find y.

Simplifying by x

\(1.25y = 2\)

\(y = \frac{2}{1.25}\)

\(y = 1.6\)

After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.

The system of linear equations that can be solved from the matrices is given as follows:

Considering that the row [3, -6] is common to matrices Ax and Ay, the matrix A is given as follows:

A = [-5 4; -8 1]

Hence the multiplication of matrices representing the system is given as follows:

[-5 4; -8 1][x; y] = [3; -6]

Applying the multiplication of matrices, the system of equations is given as follows:

More can be learned about a system of equations at https://brainly.com/question/13729904

#SPJ1

Given: The data below

To Determine: The range, population variance and population standard deviation

Solution

The range of a data set is the difference between the largest number and the smallest number in the data set. Therefore

The population variance of a data set can be calculated using the formula below

The population standard deviation is

Hence:

Range = 9

Population variance = 8.25

Population standard deviation = 2.9

Differentiate both sides with respect to x and solve for the derivative dy/dx :

\(\dfrac{\mathrm d}{\mathrm dx}\left[x^2y^2+xy\right] = \dfrac{\mathrm d}{\mathrm dx}[2] \\\\ \dfrac{\mathrm d}{\mathrm dx}\left[x^2\right]y^2 + x^2\dfrac{\mathrm d}{\mathrm dx}\left[y^2\right] + \dfrac{\mathrm d}{\mathrm dx}\left[x\right]y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ 2xy^2 + x^2(2y)\dfrac{\mathrm dy}{\mathrm dx} + y + x\dfrac{\mathrm dy}{\mathrm dx} = 0 \\\\ (2x^2y+x)\dfrac{\mathrm dy}{\mathrm dx} = -2xy^2-y \\\\ \dfrac{\mathrm dy}{\mathrm dx} = -\dfrac{2xy^2+y}{2x^2y+x}\)

This gives the slope of the tangent to the curve at the point (x, y).

If the slope of some tangent line is -1, then

\(-\dfrac{2xy^2+y}{2x^2y+x} = -1 \\\\ \dfrac{2xy^2+y}{2x^2y+x} = 1 \\\\ 2xy^2+y = 2x^2y+x \\\\ 2xy^2-2x^2y + y - x = 0 \\\\ 2xy(y-x)+y-x = 0 \\\\ (2xy+1)(y-x) = 0\)

Then either

\(2xy+1 = 0\text{ or }y-x=0 \\\\ \implies y=-\dfrac1{2x} \text{ or }y=x\)

In the first case, we'd have

\(x^2\left(-\dfrac1{2x}\right)^2+x\left(-\dfrac1{2x}\right) = \dfrac14-\dfrac12 = -\dfrac14\neq2\)

so this case is junk.

In the second case,

\(x^2\times x^2+x\times x=x^4+x^2=2 \\\\ x^4+x^2-2 = (x^2-1)(x^2+2)=0\)

which means either

\(x^2-1 = 0 \text{ or }x^2+2 = 0 \\\\ x^2 = 1 \text{ or }x^2 = - 2\)

The second case here leads to non-real solutions, so we ignore it. The other case leads to \(x=\pm1\).

Find the y-coordinates of the points with x = ±1 :

\(x=1 \implies y^2+y=2 \implies y=-2 \text{ or }y=1 \\\\ x=-1\implies y^2-y=2\implies y=-1\text{ or }y=2\)

so the points of interest are (1, -2), (1, 1), (-1, -1), and (-1, 2).

Answer:

The volume of hemisphere = 2/3 pie r ^3

or, 18 pie = 2/3 pie r ^ 3

or, 27 = r ^ 3

or, r = 3 inches #

hope this helps

All the best!!

Answer:

5

Step-by-step explanation:

There answer would be 5

Following the pattern, the most likely next step in the series is given by the pentagon in option B.

We have to look at the number of points in each figure, hence:

Hence, the number of points increases by one for each figure, meaning that in the next step, the figure should have 5 points, representing a pentagon.

Among the options given for the answer, only one, option B, has 5 points, with the pentagon, as:

Hence, the most likely next step in the series is given by the pentagon in option B.

More can be learned about patterns at https://brainly.com/question/27033681

#SPJ1

The pivot positions of the matrix are 1, 3, 5, and 7.

A matrix is a rectangular array of numbers, symbols, or expressions, arranged in rows and columns.

In this case, all the given options (A, B, C, and D) contain the same numbers and have the same structure, so we can examine any one of them to determine the pivot positions.

The pivot positions in the given matrix can be found as follows:

The first pivot position is in the first row, first column (1).

The second pivot position is in the second row, second column (3).

The third pivot position is in the third row, third column (5).

The fourth pivot position is in the fourth row, fourth column (7).

So, the pivot positions in the matrix are 1, 3, 5, and 7. These are the bold values in the matrix and indicate the leading entries after row operations have been performed.

Complete Question:

Identify the pivot positions in the original matrix. The pivot positions are indicated by bold values. Choose the correct answer below.

A.1 2 3 4 3 4 5 6 5 6 7 8

B.1 2 3 4 3 4 5 6 5 6 7 8

C.1 2 3 4 3 4 5 6 5 6 7 8

D.1 2 3 4 3 4 5 6 5 6 7 8

To know more about matrix here.

https://brainly.com/question/28180105

#SPJ4

The corresponding particular solution to the system of differential equations :

X(t) = -6e^(-12t)(1, 1) + 6e^(2t)(3, -1)

The eigenvalue method involves finding the eigenvalues and eigenvectors of the matrix associated with the system of differential equations.

        X' = AX

        where X is a column vector with the variables x1 and x2,

        X' is the derivative of X with respect to t,

        and A is the coefficient matrix given by:

       A = [ -13 9

                 -5 1  ]

       det(A - λI) = 0

       where I is the identity matrix and λ is an eigenvalue.

        λ = -12, 2

For each eigenvalue, we solve for the corresponding eigenvector by setting up a system of equations and solving for the unknowns. For λ = -12, the eigenvector is (1, 1), and for λ = 2, the eigenvector is (3, -1).

       X(t) = c1e^(-12t)u1 + c2e^(2t)u2

where c1 and c2 are constants and u1 and u2 are the eigenvectors corresponding to the eigenvalues -12 and 2, respectively.

       X(0) = [3  3] = c1u1 + c2u2

       c1 = -6, c2 = 6

        X(t) = -6e^(-12t)(1, 1) + 6e^(2t)(3, -1)

This is the final solution to the system of differential equations.

Learn more about The Eigenvalue here:

https://brainly.com/question/29749542

#SPJ4