2. A certain TV can be purchased from the manufacturer for $220. A certain online retailer has a standard markup of 25%, and a certain superstore has a standard markup of 45%.
(a) What is the price of the TV when purchased online? What is the price of the TV when purchased at the superstore?
(b) What is the difference between the prices in Part (a)? How does this relate to the difference in the markup?

Answer:

The antiderivative of ln x is (1/2)(ln x)^2 + C, where C is any constant. The natural logarithm function ln x is defined only for positive x, so the antiderivative is also defined only for positive x.

The antiderivative (also called the indefinite integral) of ln x is a function that, when differentiated, gives ln x. The symbol for the antiderivative is ∫ln x dx.

To find the antiderivative of ln x, we can use integration by substitution. We start by rewriting ln x as 1 times ln x, and then we use the substitution u = ln x. This means that du/dx = 1/x, or dx = x du.

Substituting these expressions into the integral gives:

∫ln x dx = ∫1 ln x dx = ∫u du

Now we can integrate u with respect to itself:

∫u du = (1/2)u^2 + C

Substituting back u = ln x, we get:

∫ln x dx = (1/2)(ln x)^2 + C

where C is the constant of integration.

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The equivalent to the expression 3², which equals 9.

An exponent is a mathematical operation that involves raising a number to a certain power. In this case, you are curious about what 3 to the 2 power means. Let's explore this concept further.

When we write 3 to the 2 power, it means that we are multiplying 3 by itself two times. This can also be written as 3 raised to the power of 2, which is represented by the notation 3².

To illustrate this concept, let's use an example. Consider the expression 3². This means that we need to multiply 3 by itself twice, as indicated by the exponent of 2. In other words:

3² = 3 x 3 = 9

So, 3 to the 2 power is equal to 9. Another way to think about this is to imagine a square with sides of length 3. The area of this square would be 3 x 3, or 9.

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Answer:

Step-by-step explanation:

40 desks

If 25% of Paul's cookies are chocolate chip, then 75% of his cookies are not chocolate chip. Let's call the total number of cookies Paul has "x".

So, 25% of x is equal to 6:

0.25x = 6

To solve for x, we can divide both sides by 0.25:

x = 24

So Paul has 24 cookies altogether.

Answer:

[tex]\huge\boxed{\sf x = \pm \sqrt{17} }[/tex]

Step-by-step explanation:

f(x) = x² + 7

Given that, f(x) = 24

24 = x² + 7

24 - 7 = x²

17 = x²

So,

x = √17 or x = -√17

[tex]\rule[225]{225}{2}[/tex]

The coordinate of point C which is 7 / 8 of the distance from M to J is 16 .

The first step is to find the distance between M and J to be :

= Coordinate of J - Coordinate of M

= 18 - 2

= 16

The distance that is 7 / 8 between M and J is :

= 16 x 7 / 8

= 14

The coordinate of C would be :

= Coordinate of M + 7 / 8 distance

= 2 + 14

= 16

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The method for determining the similar relationship between the parameters of two equations has been explained below.

The relationship between parameters in two equations depends on the specific equations and parameters involved. In general, parameters are constants or variables that are used to define or modify the behavior of a mathematical or physical system.

If two equations have the same parameters, then changes in those parameters will affect the behavior of both equations in the same way and if they have different parameters, then changes in those parameters may affect the behavior of the equations differently. In general, to determine the relationship between parameters in two equations, you would need to analyze the equations and their specific parameters to understand how they are related.

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The domain of the function; R (c) as required is; [0, 150].

The range of the function; R (c) as required is; [0, 450].

As evident in the task content; the given function is; R (c) = 3c and the class has a maximum of 150 bags to sell.

In Essence, the possible values of c are such that; 0 ≤ c ≤ 150.

The domain is therefore; [0, 150].

Hence, the range is; 3(0) ≤ R(c) ≤ 3(150).

Ultimately, the range of the function is; 0 ≤ R (c) ≤ 450.

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Answer:

12%

Step-by-step explanation:

based on the simulation info, if there is both

1. A "1"

2. An "A" or "B",

then it will rain on both days. This occurs 3 times out of 25, or 3/25 = 0.12 = 12%

1. 2nd row 1st column

2. 3rd row 4th column

3. 5th row 2nd column

The missing side length is 22.6.

From the given figure, We can observe that it is a right-angled triangle.

We are provided with two angles in the triangles,

So, We can evaluate the third angle by the sum of the angles property of

a triangle.

∠ABC + ∠BAC + ∠ACB = 180°

90° + 37° + ∠ACB = 180°

∠ACB = 180° - 127°

∠ACB = 53°

By the property of the triangle,

tanα = Perpendicular/Base of the triangle

tanα = AB/BC

tan53° = x/17

x = tan53°×17

x = 22.6

Therefore, The missing side length is 22.6.

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The missing side length of right angled triangle is 22.6.

Given,

Right angled triangle

Here

Two angles in the triangles : 37 and 90 degrees .

So, We can evaluate the third angle by the sum of the angles property of a triangle.

∠ABC + ∠BAC + ∠ACB = 180°

90° + 37° + ∠ACB = 180°

∠ACB = 180° - 127°

∠ACB = 53°

By the property of the triangle,

tanα = Perpendicular/Base of the triangle

tanα = AB/BC

tan53° = x/17

x = tan53°×17

x = 22.6

Therefore, The missing side length is 22.6.

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The value 0.5625 as a fraction is 9/16 .

In mathematics, fractions are defined as part of a whole. A whole can be an object or a group of objects. In real life, if you cut a pie out of the whole pie, that piece becomes part of the pie. Fractions are words of Latin origin. "Fractus" means "broken" in Latin. In ancient times, rest was expressed in words. Later it was introduced in numerical form.

Fractions are also called parts or sections of any quantity. Represented by the symbol '/'. Bachelor/Bachelor For example, 2/4 is the numerator above and the fraction below the denominator. In this article, you will learn the definition of fractions in mathematics, types of fractions, how to convert fractions to decimals, and many solved examples and full explanations

to convert in fraction we will muliply and devide by 100.

.5625*100/100 = 9/16

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Step-by-step explanation:

This is the correct answer

To show that a statement is false, we need to find a counterexample where the statement does not hold true. Here are the counterexamples for each statement:

The sum of any three odd numbers is even.

Counterexample: 1 + 3 + 5 = 9, which is an odd number. Therefore, the statement is false.

When an even number is added to the product of two odd numbers, the result will be even.

Counterexample: 1 {square} 3 + 2 = 5, which is an odd number. Therefore, the statement is false.

When an odd number is squared and divided by 2, the result will be a whole number.

Counterexample: Let's take an odd number, say 3. If we square it, we get 3{square}2 = 9. If we divide 9 by 2, we get 4.5, which is not a whole number. Therefore, the statement is false.

In each of these cases, we have found a counterexample that shows that the statement is false. It is important to remember that just because a statement holds true for some examples, it does not necessarily mean it holds true for all examples. Finding counterexamples is an important tool in mathematical reasoning and can help us to refine and improve our understanding of mathematical concepts.

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The apex predator in the given triangle is the animal at the highest point, Beluga whale. Option 2 is the correct answer.

An apex (plural apices) is the vertex in geometry that is essentially the "highest" of the form to which it belongs. The phrase is frequently used to describe the vertex that is opposite from a "base." The word comes from a Latin root that means "summit, peak, tip, top, or extreme end."

the point (vertex) of an item that is furthest distant from its base.

The apex predator in the given triangle is the animal at the highest point, Beluga whale.

Hence, Option 2 is the correct answer.

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As a result, if the two angles' measurements are (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

An angle is a geometric figure formed by two rays that have a common endpoint, called the vertex. The rays are also known as the sides or legs of the angle. Angles are typically measured in degrees, with a full circle measuring 360 degrees. Angles can also be measured in radians, which are another unit of angular measurement used in mathematics and physics. One radian is equal to the angle subtended by an arc of a circle that has a length equal to the radius of the circle. The size of an angle is determined by the amount of rotation that occurs between the two rays. This is typically measured relative to the positive x-axis, with counterclockwise rotations being considered positive and clockwise rotations being considered negative. Angles are used in a wide range of mathematical and scientific applications, including geometry, trigonometry, physics, engineering, and architecture. They are also used in many everyday situations, such as measuring the size of an opening or the angle of incidence of sunlight on a surface.

Here,

If the two angles are congruent, then they must have the same measure.

So we can set the expressions for the measures of the two angles equal to each other and solve for y:

3y + 11 = 11y + 15

Subtracting 3y from both sides:

11 = 8y + 15

Subtracting 15 from both sides:

-4 = 8y

Dividing both sides by 8:

y = -1/2

Therefore, if the measure of the two angles is (3y+11) and (11y+15) and they are congruent, then y must equal -1/2.

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With the provided scale, the driveway's true length is 7/6 feet, and 1 and 1/6 feet.

The height of any unit can be converted to inches using the free online tool known as an inch calculator. Both inches and centimetres are units used to measure length; inches are abbreviated as "in" and centimeters as "cm".

To determine the real length of the driveway, we can use the provided scale.

The scale indicates that 5 inches just on illustration corresponds to 6 feet in everyday life.

Now, let's change 35 inches just on picture to feet:

35 inches / 5 inches for every 6 feet equals 7/6 feet.

The driveway is therefore 7/6 feet in length in actuality. We can condense.

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The amount invested in AAA - bonds is $5353, amount invested in

A - bonds is $1681 and amount invested in B - bonds is $3369. The solution has been obtained by using matrices.

What are matrices?

The term "matrix of order m by n," sometimes known as "m × n matrix," refers to a rectangular array of m × n numbers (real or complex), organised into m rows and n columns.

Such a range is bounded by [ ] or ( ).

We are given equations as

x + y + z = $10300

0.045x + 0.05y + 0.09z = $620

2y − z = 0

From this, we get the matrix as

[tex]\left[\begin{array}{ccc}1&1&1\\0.045&0.05&0.09\\0&2&-1\end{array}\right] \left[\begin{array}{ccc}x\\y\\z\end{array}\right] = \left[\begin{array}{ccc}10300\\620\\0\end{array}\right][/tex]

This shows that AX = B

X = A⁻¹B

[tex]\left[\begin{array}{ccc}x\\y\\z\end{array}\right][/tex] [tex]= \left[\begin{array}{ccc}2.42&-31.57&-0.42\\-0.47&10.52&0.47\\-0.94&21.05&-0.05\end{array}\right][/tex]     [tex]\left[\begin{array}{ccc}10300\\620\\0\end{array}\right][/tex]

On solving this, we get

[tex]\left[\begin{array}{ccc}x\\y\\z\end{array}\right][/tex]    [tex]=\left[\begin{array}{ccc}5353\\1681\\3369\end{array}\right][/tex]

Hence, the amount invested in AAA - bonds is $5353, amount invested in A - bonds is $1681 and amount invested in B - bonds is $3369.

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48 percent of the students in the survey are male.

40 percent of the students in the survey are female

A number or proportion which can be represented as just a percent of 100 is known to as a percentage in math. If we want to calculate a percentage of such a number, multiple this by 100 then divided it by the total. Thus, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.

10%, a comparative figure denoting one hundredth of any amount. One percent (symbolised as 1%), being the hundredth component, is represented as 100 percent, while 200 percent signifies twice the amount specified. percentage.

b. 48 males and 40 females were surveyed.

Among the surveyed students, 8 had green eyes, 35 had blue eyes and 45 had brown eyes.

c. the image in below shows the complete table.

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The conversion of 184 centimetres in feet is equals to the 6.03 feet. Thus, conversion factor from centimetres to feet is 6.03/184 = 0.032.

A conversion factor is a number used to convert one set of units into another set of units by multiplication or division. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 184meters

= 184× 3.28 feet

= 603.52 feet --(1)

But we need to convert 184 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 184 meters = 18400 centimeters --(2). Now from equations (1) and (2),

18400 centimeters = 603.52 feet,

Divide both parts by 100,

=> 184 centimetres = (603.52/100 ) feet

= 6.03 feet

Hence required value is 6.03 feet.

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Using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.

One of the four fundamental operations in mathematics is addition, along with subtraction, multiplication, and division.

The entire amount or sum of the two whole numbers is obtained by adding them.

Mathematicians utilize addition as their main arithmetic operation to determine the sum of two or more numbers.

For instance, 7 + 7 equals 14.

So, the given fractions are:

2 1/6 and 3 7/8

Now, add them as follows:

2 1/6 + 3 7/8

13/6 + 31/8

52+93/24

145/24

6 1/24

Therefore, using the addition of the given fractions we know that Jamal drank a total (D) of six and one-half bottles of water.

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Complete question:

Jamal drank two and one-sixth bottles of water in the morning and three and seven-eighths bottles in the afternoon. Estimate how much water Jamal drank in all.

A. 5 bottles

B. five and one-half bottles

C. 6 bottles

D. six and one-half bottles

The output the last three characters of a string, we need to create a variable to store the string, assign the string to the variable, and use the string slicing method to extract the last three characters

To start, we need to create a variable to store our string. We can name this variable "str". Next, we need to assign our string to the variable. We can do this by using the assignment operator "=".

Now, we can begin manipulating the string to output the last three characters. To do this, we can use the string slicing method. This method allows us to extract a portion of the string by specifying the start and end indices. In this case, we want to start at the third-last character, so our start index will be -3. Since we want the last three characters, our end index will be -1. We can use this information to create the following code:

str = "hello"

last_three_characters = str[-3:-1]

Now, when we print the variable last_three_characters, it should output "lo". This is because the slicing method extracts the characters from the start index up to, but not including, the end index.

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Complete Question:

Write a program to the postfix of 3 is the last 3 characters of a string. Given a string input, output the last three characters of that string. Assume the string will always have at least three characters

Answer:

g(x) = 5^3x is a horizontal stretch of a factor of 3. g(x)= 1/3(5)^x is a vertical stretch of a factor of 3. g(x) = 5^1/3x is a vertical compression of a factor of 1/3. g(x) = 3(5)^3 is a horizontal compression of a factor of 1/3.

Answer:

See below

Step-by-step explanation:

A) If [tex]DF\cong GH[/tex], then both triangles will be congruent by the ASA postulate

B) If [tex]DE\cong GI[/tex], in addition to one of the corresponding leg pairs being congruent to each other (so EF+IH or DF+GH), then the triangles will be congruent by the HL theorem

The value of the term 14 times 39 can be expressed as the value of 2.7857.

Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.

Or, how do you increase something by 14 to get 39? If "x" in the phrase "14 times what = 39?" is "what," then the equation to use to solve the issue is as follows:

14 • x = 39

which is spelled out as:

14x = 39

In order to get the x alone, we must take the 14 from the left side of the equation. We multiply both sides by 14 to achieve that.

14x/14 = 39/14

39/14 is 2.7857 and 14x/14 equals x, thus our equation will be as follows:

x = 2.7857

Therefore, the result of 14 times what is 39 is 2.7857.

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The equation solved for b is b = y/m

The equation y = m x b is a linear equation in slope-intercept form, which is commonly used to describe the relationship between two variables in a line. In this equation, the variable m is the slope of the line, and b is the y-intercept, or the point at which the line crosses the y-axis.

To solve this equation for b, we can rearrange it to isolate b on one side of the equation.

To do this, we can divide both sides of the equation by m, giving us y/m = b.

This is an equivalent equation that is solved for b, as b is on its own on the right side of the equation. Therefore, the equation solved for b is y/m = b

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Answer:

area of rhombus here parallelogram

bh

21multiplied by 17.3

363.3cm2

Answer: Correct option is B

Step-by-step explanation:  3/6 + 2/6 = 5/6

The correct expression after subtraction is,

⇒ 7/8 - 3/4 = 1/8

Option C is true.

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Now, We can all the expressions as,

A). 3/4 - 1/2 = 1/4

LHS;

⇒ 3/4 - 1/2

⇒ (6 - 4) / 8

⇒ 4/8

⇒ 1/2 ≠ 1/4

Hence, It is not true.

B. 9/16 - 4/8 = 5/8

LHS;

⇒ 9/16 - 4/8

⇒ (9 - 8)/16

⇒ 1/16 ≠ 5/8

Hence, It is not true.

C. 7/8 − 3/4 = 1/8

LHS;

⇒ 7/8 - 3/4

⇒ (7 - 6)/8

⇒ 1/8

Hence, It is true.

D. 7/15 − 1/3 = 6/15

LHS;

⇒ 7/15 - 1/3

⇒ (7 - 5)/15

⇒ 2/15 ≠ 6/15

Hence, It is not true.

E. 1/2 − 1/20 = 10/20

LHS;

⇒ 1/2 - 1/20

⇒ (10 - 1)/20

⇒ 9/20 ≠ 10/20

Hence, It is not true.

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The conversion of 300 lbs to kg is 136.054 kg.

Measurement is the method of comparing the properties of a quantity or object using a standard quantity.

Measurement is essential to determine the quantity of any object.

Given,

Total units = 300 lbs

We have the conversion factor that,

1 kilogram = 2.205 pounds

Or,

2.205 pounds = 1 kilogram

1 pounds = 1 / 2.205 kg

lbs is same as pounds.

300 lbs = 300 × (1 / 2.205) kg

             = 136.054 kg

Hence the measurement of conversion of 300 lbs is 136.054 kg.

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