72, - 16, - 8, 40
[tex]72, - 16, - 8, 40[/tex]
​

Okay, here we have this:

Considering the provided information, we are going to match the situations to their corresponding functions, so we obtain the following:

1: The total pages a person reads in x days, if the person reads 6 pages a day: f(x)=6x.

2: The cost of x boxes of mangoes, if 1 box cost $6 and the shipping charge is $6 per order: f(x)=6x+6 -> f(x)=6(x+1)

3: The total cost of x notebooks, if one notebook cost $6 and students receive a discount of $1 off their bill: f(x)=6x-1

4: The total cost of x novels and a pocket dictionary if you buy a novels each at $6 and get a pocket dictionary at $1: f(x)=6x+1

The sequence is not arithmetic

What is a sequence?

A sequence in mathematics is an enumerated collection of items in which repetitions are permitted and order is important. It, like a set, has members (also called elements, or terms). The length of the series is defined as the number of items (which might be infinite). Unlike a set, the same components can occur numerous times in a sequence at various points, and the order does important. Formally, a sequence may be defined as a function from natural numbers (the sequence's places) to the items at each point. The concept of a sequence may be extended to include an indexed family, which is defined as a function from an arbitrary index set.

The given sequence 78, 785, 7855, 78555, ... is not arithmetic.

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The money we would have at any time can be modeled as

M = 27k + 141

Why?

you started with $141, so that is the base amount,

every month you add 27 dollars,

in one month you add 27 dollars,

in two months you 27 again making 54 dollars,

so , in x months, you have added 27x dollars to the 141 dollars,

thus our equation is

M = 27k + 141

It is possible to have a negative output on:

Since a can take possitive values and negative ones, and since it isn't inside the absolute value barrs.

The given polynomial is expressed as

P(x) = - 3x^2 + 9x

The domain values are the x values. To find P(-5), it means that we would substitute x = - 5 into the polynomial. It becomes

P(- 5) = - 3(- 5)^2 + 9(- 5)

P(- 5) = - 3 * 25 - 45

P(- 5) = - 75 - 45

P(- 5) = - 120

Question:

Solution

a) If for every 10 bags the store charges $140 then

1. for 10x2 = 20 bags the store charges 2x$140 = 280.

2. for 10x3 = 30 bags the store charges 3x$140 = 420.

3. for 10x4 = 40 bags the store charges 4x$140 = 560

4. for 10x6 = 60 bags the store charges 6x$140 = 840

b) According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

c)

According to the previous item, we can conclude that for 10x5 = 50 bags the store charges 5x$140 = 700 then, the farmer must pay $700 for 50 bags.

Solution

Given the dimensions of a rectangular prism as

length: 1.5 ft

width: 1 ft

Height: 2.5 ft

Part A.

Volume of a rectangular prism =

Volume of small cubes

Number of small cubes that can be packed in a rectangular prism is 30

Hence, there are 30 small cubes that can be packed in the rectangular box.

Part B.

The volume is given as

SOLUTION

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Explain the given function

It can be seen from the function that there are three conditions which are defined below:

When x is less than 3, this states that we execute the first function for values of x less than 3

When x is between 3 and less than 7, this means that whenever x ranges from 3 to 6, we execute the second function.

When x is greater than or equals to 7, we execute the last function.

STEP 2: find f(7)

Since the value of x which is 7 is greater than or equal to 7, therefore we use the last function as seen below:

Hence, the result is 2

Answer:

Explanation:

Here, we want to simplfy the given expression

From what we have:

Substituting the values, we have it that:

Given:

The given expression is,

Required:

Write the product using exponent.

Answer:

Let us compute the product using exponents.

Final Answer:

The product using exponents is given by,

In order to calculate the cost of 7.5 lbs of walnuts, we can use the following rule of three, knowing that 3/4 lbs have a cost of $3.45:

Now, we can write the following proportion and solve for x:

Therefore the cost is $34.50.

Note that a quadratic function is increasing and decreasing at exactly half between the roots.

The roots are the point on the ground when tossing the ball into the air.

So we need to get the roots of the given equation.

Roots are the values of x when y = 0

So the roots are 0 and 6, this will be the x coordinate or the point on the ground.

Since the equation is increasing halfway and decreasing up to the ground, the halfway point is the midpoint between the roots.

Midpoint = (0 + 6)/2 = 3

Therefore, the ball's height is always decreasing at 3 < x < 6

The answer is 3 < x < 6

The height of a parallelogram with an area of 50 square meters and a base length of 5 meters is 10 meters

The word "parallelogram" is a translation of the Greek phrase "parallelogrammon," which means "bounded by parallel lines." As a result, a quadrilateral that is bound by parallel lines is called a parallelogram. It has parallel and equal opposite sides on all sides. Square, rectangle, and rhombus are the three primary varieties of parallelograms, and each one has distinct characteristics. If a quadrilateral's opposite sides are parallel and congruent, it will be a parallelogram. So a quadrilateral with both pairs of opposite sides being parallel and equal is known as a parallelogram.

Various forms of parallelograms can be distinguished from one another based on their unique characteristics. It can be broadly classified into three distinct types:

Area = 50

Base = 5

Area of ║gm = base (height)

50 = 5(X)

x = 10

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Given:

Length of side = 2.8 in

Let's find the volume of the cube.

To find the volume of a cube, apply the formula:

Where:

a is the side length = 2.8 in

Hence, to find the volume, we have:

Therefore, the volume of the cube is 22.0 cubic inch.

ANSWER:

22.0 in³

Answer:

35%

Explanation:

Given cost of a pant = $36.95 and selling price = $24.02.

Let the markdown percent be y.

To determine the markdown percent, we'll use the below formula;

Sale Price = Original Price x (1 - Markdown% in decimal)

So let's go ahead and substitute the given values into the equation;

So the markdown percent is 35%

For this problem, we are given a rectangle and its dimensions. We need to use this information to determine the area of the rectangle.

The rectangle's area is given by the following expression:

For this problem, we have:

The rectangle's area is 270 square milimiters

1) Let's begin considering that our budget is $400.

Since the bike is discounted by 25%, we can get to know the price with this formula:

2) Note that there is an increase in the price since there are taxes to pay. The original price is taken into consideration to charge the tax. So, let's find how much we have to pay:

So, let's add that to the discounted price:

3) Since I've got $400 let's find how much is left after that purchase:

Note that as requested we rounded off to the nearest dollar.

Thus, that's what's left after the purchase

Cosine formula

Considering angle R, the adjacent side has a length of 9 units, and the hypotenuse of the triangle has a length of 15 units. Substituting this information into the above formula:

In order to find the determinant we just multiply the diagonals

Then we substract the second result to the first:

Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome of credit.

Step 1

Loan Amount(p)= 3600

Number of Payments per year(n)= 12

Time in Years (t)=4

Installment Payment (m)=83.81

Total amount paid in 48 installments= 4022.88

Amount Paid - Amount Financed = 4022.88 - 3500 = 522.88 in finance charges.

To determine the annual percentage rate. Prior to multiplying the result by 100, divide the finance charge by the total amount funded. The finance charge per $100 of the financed amount is the end outcome.

Finance Charge​/ Amount financed × 100= 522.88/ 3600× 100= 14.5

To use Table , look for 48 in the far left-hand column under the heading Number of Payments. Then move across to the right until you find the value closest to 14.5. In this case, 14.5 is in the table. The value 7 is at the top of this column. The yearly percentage rate is therefore around 7. Monthly payments are 83.81. After 12 payments have been made, 30 payments remain. Therefore, P = 83.81 and n = 30. Use the APR table to calculate V . In the Number of Payments column, find the number of remaining payments, 30, and then look to the right until you reach the column headed by 7%, the APR. intersect at 9.30. Thus, V = 9.30.

:[tex]u=nPV/100+V\\u=30*83.81*9.30/100+9.30=213[/tex]

Total due amount = Total remaining payment including interest- saving on interest + 12th monthly payment= 2514.3- 213.934+ 83.81= 2384.17

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The commutative law says that we can swap the position of numbers when we add or multiply and still get the same result

The commutative property of multiplication can be expressed as

ab = ba

The commutative property of addition can be expressed as

a + b = b + a

Looking at the given expression,

12 and pi were swapped and the sign involved is multiplication. Thus, the correct option is

D. Commutative property of multiplication

The 35% of 125 is computed as follows:

Answer:

-5 over 30

Step-by-step explanation:

0.834

The formula calculating the z-score is expressed as:

Given the following parameters

• x1 = 49.55

• x2 = 73.35

• mean μ = 57inches

• standard deviation σ = 7.3in

Convert the x-values to z-score

For z2;

Determine the required probability

Answer:

-3

Step-by-step explanation:

x - (x+3)

x - x -3

-3

Solution:

The sine function is generally expressed as

The period of the function is expressed as

Given the function:

Comparing equations 1 and 2, we see that

Thus, by substituting the value of B into the period formula, we have

Hence, the period of the function is

You have the following equation:

2x² - 12x + 16 = 0

in order to solve the previous equation, first divide by 2 both sides:

x² - 6x + 8 = 0

next, consider that the factors of the previous expression has the form:

(x - )(x - ) = 0

consider the first number inside the first factor is the result of the sum of two numbers, and the number of the second factor is the product of the same numbers. Such numbers are:

(2)·(4) = 8

2 + 4 = 6

hence, the factorized expression is:

(x - 8)(x - 2) = 0

the solutions of the equations are:

x = 8

x = 2

First, find the area of the trapezoid.

Area of a trapezoid = 0.5 ( sum of bases ) x height

bases = 15in, 8in

height = 8in

A 1 = 0.5 (15 + 8 ) x 8 = 92 in 2

Then, subtract the area of the rectangle:

Area of a rectangle = lenght x width

L = 5

W= 3

A2 = 5 x 3 = 15 in 2

Area of the shaded region = A1 - A2 = 92 - 15 = 77 in2

The total number of equally-sized tiles on a circular floor.

Here, we are covering the region or the total space occupied by all the tiles on the floor.

Hence, the area is calculated.