Solve the equation 4(2x + 1) = 6x - 12
x=-13/2
x = -8
x = 8
X=11/2

Answer:*

Step-by-step explanation:

At a price of $3, the total revenue will be the greatest, and the company will sell 3 units at that price.

To find the total revenue at each price, we can multiply the price by the corresponding quantity.

Price        Quantity          Total Revenue

$6                0                      $0

$5                 1                       $5

$4                 2                       $8

$3                 3                        $9

$2                 4                         $8

$1                  5                          $5

To find the price at which total revenue is the greatest, we look for the highest value in the Total Revenue column.

In this case, the highest total revenue is $9, which occurs when the price is $3.

At a price of $3, the company will sell 3 units (as indicated in the Quantity column).

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Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

Answer:

B is the right answer

Step-by-step explanation:

Answer:

The first term of the sequence is:

Step-by-step explanation:

Given the sequence

aₙ = (-1)ⁿ · 3n²

substituting n = 1 to determine the first term

a₁ = (-1)¹ · 3(1)²

a₁ = (-1)¹ · 3(1)²

Applying the exponent rule: \(a^1=a\)

a₁ = -1 · 3(1)

a₁ = -1 · 3

a₁ = -3

substituting n = 2 to determine the 2nd term

a₂ = (-1)² · 3(2)²

a₂ = 1 · 3(4)

a₂ = 12

substituting n = 3 to determine the 3rd term

a₃ = (-1)³ · 3(3)²

a₃ = -1 · 3(9)

a₃ = -1 · 27

a₃ = -27

substituting n = 4 to determine the 4th term

a₄ =  (-1)⁴ · 3(4)²

a₄ = 1 · 3(16)

a₄ = 1 · 48

a₄ = 48

Therefore, the first term of the sequence is:

The measure of the angle B of the triangle is 78.15 degrees

From the question, we have the following parameters that can be used in our computation:

A = 25 degrees

a = 9.5 units

b = 22 units

Using the law of sines, the angle B is calculated as

sin(A)/a = sin(B)/b

So, we have

sin(25)/9.5= sin(b)/22

This gives

sin(b) = 22 * sin(25)/9.5

Evaluate

sin(b) = 0.9787

Take the arc sin of both sides

b = 78.15

Hence, the measure of the angle is 78.15 degrees

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The given passage provides a proof that the Separation Axioms follow from the Replacement Schema.

The proof involves introducing a set F and showing that {a: e X : O(x)} is equal to F (X) for every X. Therefore, the conclusion is that the Separation Axioms can be derived from the Replacement Schema.In the given passage, the author presents a proof that demonstrates a relationship between the Separation Axioms and the Replacement Schema.

The proof involves the introduction of a set F and establishes that the set {a: e X : O(x)} is equivalent to F (X) for any given set X. This implies that the conditions of the Separation Axioms can be satisfied by applying the Replacement Schema. Essentially, the author is showing that the Replacement Schema can be used to derive or prove the Separation Axioms. By providing this proof, the passage establishes a connection between these two concepts in set theory.

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Answer:

16.825 is the answer for your question

The common ratio of the resulting sequence is 1.4.

Given that, the three terms are 60, 100 and 180.

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

Let the same constant is added to the given number is x.

60+x, 100+x and 180+x

Now, the common ratio is

(100+x)/(60+x) = (180+x)/(100+x)

⇒ (100+x)(100+x)=(180+x)(60+x)

⇒ (100+x)²=10800+180x+60x+x²

⇒ 10000+200x+x²=10800+180x+60x+x²

⇒ 10000+200x=10800+180x

⇒ 20x=800

⇒ x=40

The three number are 100, 140 and 220

The common ratio is 140/100 =1.4

Therefore, the common ratio of the resulting sequence is 1.4.

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Answer:

10 minutes

Step-by-step explanation:

9514 1404 393

Answer:

  3 ft

Step-by-step explanation:

The post is 4/24 = 1/6 as tall as the streetlight, so we expect its shadow to be 1/6 as long as that of the streetlight:

  (1/6)(18 ft) = 3 ft

The parking meter post shadow is 3 feet long.

The angle from the options given that is shown in the drawing is: D. <LIJ.

An angle is a geometric figure that is formed by two rays that share the same endpoint, called the vertex. The rays are called the sides of the angle, and the endpoint is called the vertex.

In the drawing given,  IJ and LI are two segments that have a common endpoint called vertex I.

Points L, I, and J forms an angle whose vertex is at I, as shown in the image given. Thus, the angle shown in the drawing is: D. ∠LIJ.

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Using the combination formula, the number of ways to order the pizzas in each case is given as follows:

a) 638 ways if Grogg must order at least five toppings.

b) 937,024 ways if each pizza must have at least three toppings.

c) 1024 ways if Lizzie's pizza must have at least four toppings and Grogg's must have at least one topping.

\(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula, involving factorials.

\(C(n,x) = \frac{n!}{x!(n-x)!}\)

For this problem, the order of the toppings is not important, which is why the combination formula is used.

Hence the numbers of pizzas from 0 to 10 toppings are given as follows:

In item a, Greg must order at least five, hence the number of ways is:

252 + 210 + 120 + 45 + 10 + 1 = 638 ways.

In item b, each must have at least three toppings, hence the number of ways for each is:

120 + 210 + 252 + 210 + 120 + 45 + 10 + 1 = 968 ways.

968 ways for each, two people, hence, by the Fundamental Counting Theorem, the number of ways is:

968² = 937,024 ways.

In item c, the number of ways is the sum of all the possible toppings, except zero, from the conditions given, hence:

1 + 10 + 45 + 120 + 210 + 252 + 210 + 120 + 45 + 10 + 1 = 1024 ways.

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Answer: Hence, the time taken by the experienced crew would be 9 hours.

Step-by-step explanation:

The domain and the range of the function represented by the graph are [-2, 2) and (-4, 4]

In mathematics, the domain and range of a function are used to describe the set of possible input and output values of the function, respectively.

From the graph, we have the set of input values to be

Input = From -2 (closed circle) to 2 (open circle)

This means that the domain is

[-2, 2)

From the graph, we have the set of output values to be

Output = From -4 (open circle) to 4 (closed circle)

This means that the range is

(-4, 4]

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A census of the population is a method of data collection that involves gathering information from every member of the population. Here are a few examples of situations where taking a census would be more appropriate than taking a sample.

When there is a high response rate: If the response rate for a survey or study is high, then taking a census may be more feasible. This is because a high response rate means that most or all members of the population will participate, reducing the need for sampling.

When the cost of data collection is low: If the cost of data collection is low, then taking a census may be more practical. For example, if the data can be collected electronically or through administrative records, then taking a census may be more efficient than taking a sample.

When the population is small: If the population is small, it may be more practical and efficient to conduct a census rather than taking a sample. This is because the cost and time required to take a sample may be comparable to the cost and time required to take a census.

When the cost of sampling errors is high: In some situations, the cost of sampling errors may be high. For example, if the data is being used to make important decisions that could affect the lives of many people, such as healthcare or public policy decisions, then taking a census may be more appropriate to reduce the risk of error.

When the population is homogenous: If the population is homogenous, meaning that there is little variability among its members, then taking a sample may not be necessary. In this case, a census may be more efficient and provide more accurate results.

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A boutique owner needs to sell $1,200 in clothing each week. This week, she is within $125 of her goal. The variable in the equation is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem.

Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

In the context of the problem, the boutique owner wants to make $1,200 in clothing each week. This amount in made by the number of items sold as this is added to get to the amount the boutique owner is targeting

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The area under the curve of the standard normal​ distribution is 98.61% of the area between equals negative 2. 2 and zequals2. 2

The area under the curve of a standard normal distribution between z = -2.2 and z = 2.2 is given by the integral of the normal distribution function from -2.2 to 2.2. This can be calculated using a table of standard normal probabilities or using a calculator with a normal distribution function.

The result is approximately 0.9861. To convert this to a percentage, simply multiply by 100: 0.9861 * 100 = 98.61%. Therefore, about 98.61% of the area is between z = -2.2 and z = 2.2 (or within 2.2 standard deviations of the mean).

The standard normal distribution is a normal distribution with a mean of 0 and a standard deviation of 1. It is also known as the z-distribution or the unit normal distribution. It is often used in statistical tests, such as the z-test, t-test, and chi-square test. It is also used to determine confidence intervals, to calculate probabilities, and to measure the probability of a given event.

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Answer:

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Therefore , the solution to the given problem of function comes out to be slant asymptotes are y = x -4.

Numbers and their variants, equations & related structures, and geometry and their regions and potential applications are all mathematical topics. The link between a group of input, each of which generates a related output, is referred to as a "function." A function is a relationship between outputs and inputs where each input results in a single, distinct output. Each procedure has a domain and a city / municipality, which are frequently referred to as a scope. Functions are usually represented by the letter f. (x). The input is X. On activity, one-to-one activities, many-to-one activities, throughout operations, as well as on functions are the four main categories of supplied functions.

Here,

There are no limitations on the type of rational function, therefore it is feasible to construct one with each of the three asymptotes.

This is depicted in the attached graph, along with the graph of the rational function it represents. These are the asymptotes of the function.

Vertical asymptotes are x = -4,

horizontal asymptotes are y = 0 and

slant asymptotes are y = x -4.

Additional remarks

We employ an exponential function in our example function. Although it can be expressed as a polynomial of infinite degree, that is not often regarded as a polynomial. The proportion of polynomials is how most authors describe a rational function.

Therefore , the solution to the given problem of function comes out to be slant asymptotes are y = x -4.

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The set of prime numbers greater than 11 with the cardinality of 5 is {13, 17, 19, 23, 29}

From the question, we have the following parametes that can be used in our computation:

Set = prime numbers

Cardinality = 5

The cardinality implies that the number of elements in the set is 5

5 prime numbers greater than 11 are 13, 17, 19, 23, 29

Hence, the set is {13, 17, 19, 23, 29}

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The value of x in the absolute value equation |3x + 12| = 0 is -4

From the question, we have the following parameters that can be used in our computation:

|3x + 12| = 0

The above equation is an absolute value equation

So, we start by removing the absolute brackets

So, we have the following representation

3x + 12 = 0

Evaluate the like terms

This gives

3x = -12

Divide both sideso of the equation by 3

x = -4

Hence. the solution is -4

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Answer:

Step-by-step explanation:

Me toooo i need it really

Answer:

it's the 3rd one from the top

Answer:

y + 2 = \(-\frac{3}{2}\) (x - 3)

Step-by-step explanation:

y - \(y_{1}\) = m(x - \(x_{1}\))

If AB ⊥ CD , then \(m_{AB}\) × \(m_{CD}\) = - 1

y + 2 = \(-\frac{3}{2}\) (x - 3)

Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

The calculated value of the rate of the graph is 0.8

from the question, we have the following parameters that can be used in our computation:

The graph

Where, we have

(0, -16) and (20, 0)

The rate of the graph is calculated as

Rate = Change in y/x

using the above as a guide, we have the following:

Rate = (0 + 16)/(20 - 0)

Evaluate

Rate = 0.8

Hence, the rate is 0.8

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The value of the variable x is 11

From the information given, the segment is from N - K

We have the midpoints as; NM, ML, LK

This is represented as;

NM + ML + LK = NK

Substitute the values, we get

x - 6 + 9 + 2x - 19 = 23

collect like terms, we get;

x + 2x = 23 +6 - 9 + 19

add or subtract the like terms

3x = 42 - 9

3x = 33

Now, make 'x' the subject of formula by dividing both sides by the coefficient of x, we get;

3x/3 = 33/3

Divide the values

x = 11

Hence, the value is 11

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The inverse of the equation is determined as \(y = \log_{6}(-3x)\).

option D is the correct answer.

The inverse of the equation is calculated by applying the following method;

The given equation;

y = - 6ˣ/3

The inverse of the equation is calculated as;

multiply through by 3

\(-3x = 6^y\)

Take the logarithm of both sides of the equation with base -6:

\(\log_{6}(-3x) = y\)

Finally, replace y with x to obtain the inverse equation as follows;

\(y = \log_{6}(-3x)\)

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