Compute the following limits, if they exist:
(a) limx→0
ln(1 + x)/x
(b) limx→[infinity]
x^5 + 5x + 10/x^10 + 10e + 5
(c) limx→0+
x ln x

Answer:

1. -3145

Step-by-step explanation:

I couldnt solve the other one because they don't have a equal sign. Something like 28x-43= ?

Answer:

-37x85= -3145
28x-43=-1204
-53x-98=5194

those are ur answers

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

part A

under a reflection in the y- axis

a point (x, y ) → (- x, y ) , then

A (- 6, 11 ) → (6, 11 )

B (- 5, 6 ) → (5, 6 )

C (- 7, 1 ) → (7, 1 )

D (0, 8 ) → (0, 8 ) ← no change

part B

under a reflection in the x- axis

a point (x, y ) → (x, - y ) , then

A (- 6, 11 ) → - 6, - 11 )

B (- 5, 6 ) → (- 5, - 6 )

C (- 7, 1 ) → (- 7, - 1 )

D (0, 8 ) → (0, - 8 )

Answer:

12·3= Marco's math problems

Step-by-step explanation:

We know that Vivian was assigned 12.

We also know that Marco was assigned 3 times as many as Vivian, meaning we have to multiply:

12·3

=36

So, Marco was assigned 36 math problems.

Hope this helps! :)

Answer:

7 and 3

Step-by-step explanation:

Numbers are x and y, where x > y

Half the difference = 2

The sum of the greeter number and the twice the smaller number is 13

Considering x = y+4 in the second equation

Then

The numbers are 7 and 3

Answer:7 and 3

Step-by-step explanation:

X-y=2×2

X-y=4

2x+y=13

2x+y-x-y=9

2x-x+y-y=9

X=3

3-y=4

3+4=7

Y=7

X=3

the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

2x + 3y + 4z = 30

3x + 4y + 5z = 45

5x + 6y + 7z = 75

The first equation is 2x + 3y + 4z = 30. The coefficients for the variables are 2, 3 and 4 which are all non-zero, meaning that this equation has a unique solution.

The second equation is 3x + 4y + 5z = 45. The coefficients for the variables are 3, 4 and 5 which are all non-zero, meaning that this equation also has a unique solution.

The third equation is 5x + 6y + 7z = 75. The coefficients for the variables are 5, 6 and 7 which are all non-zero, meaning that this equation also has a unique solution.

Therefore, the system of three linear equations with three variables each that has the unique solution is 2x + 3y + 4z = 30, 3x + 4y + 5z = 45 and 5x + 6y + 7z = 75.

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Using the elimination method,

The value of x is -4.

The value of y is 8.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 is an equation.

We have,

3x + 2y = 4 ______(1)

-2x + 2y = 24 ______(2)

3x + 2y = 4

-2x + 2y = 24

(+)    (-)      (-)

5x       = - 20

Now,

5x = 20

x = -4

Put x = 4 in (1) we get,

3 x -4 + 2y = 4

-12 + 2y = 4

2y = 4 + 12

2y = 16

y = 8

Thus,

x value is -4.

y value is 8.

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Answer:

Revolution traveled by me = 30π ft.

Revolution traveled by my friend = 20π ft.

Difference between revolutions = 10π ft.

Step-by-step explanation:

In one revolution, I travel 2π(15) = 30π ft., and my friend travels 2π(10) = 20π ft., so my revolution is 30π - 20π, or 10π, ft. longer than my friend's revolution.

The scatterplot is the correct answer.

A scatter plot uses dots to represent values for two different numeric variables. The position of each dot on the horizontal and vertical axis indicates values for an individual data point. Scatter plots are used to observe relationships between variables.

The dots in a scatter plot not only report the values of individual data points but also patterns when the data are taken as a whole.

Identification of correlational relationships is common with scatter plots. In these cases, we want to know, if we were given a particular horizontal value, what a good prediction would be for the vertical value.

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Answer:

Triangle Area = 99.4 yds squared

Trapezoid Area = 57.5 cm squared

Step-by-step explanation:

area =  a × b /2

=  7.1 × 14 /2

= 49.7 (for the RAT)

= 49.7 x 2

= 99.4 yd squared

To find the map's scale, use the formula below:

In this exercise,

map distane = 9 inches

distance on the ground = 3 miles.

So, the map scale is:

Dividing both numerator and denominator by 3:

The map scale is: 3 inches : 1 mile.

The sum of cubes identity states that a^3 + b^3 = (a+b)(a^2 - ab + b^2). To find the factors of 8x^6 + 27y^3, we can apply this identity to the expression by identifying a and b:

What is the identity of the sum of cubes?

What Does the Algebraic Sum of Cubes Formula Mean? One of the key algebraic identities is the sum of cubes formula. Its symbol is written as a3 + b3 and is interpreted as a cube plus a cube. A3 + b3 = (a + b) (a2 - ab + b2) is how the sum of cubes formula (a3 + b3) is written.

8x^6 + 27y^3 = (2x^2)^3 + (3y)^3

We can then apply the identity to get:

(2x^2)^3 + (3y)^3 = (2x^2 + 3y)((2x^2)^2 - 2x^2*3y + (3y)^2)

This gives us the factors of 8x^6 + 27y^3 as (2x^2 + 3y)(4x^4 - 6x^2y^2 + 9y^2).

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Answer:

no.

Step-by-step explanation:

nigerians are cool

Answer:

Step-by-step explanation:

Parallel line has same slope with the given, so the line is

Using the given point, finding the value of b

The equation is

Answer:

A common mistake is doing x2-x1/y2-y1 instead of the correct slope formula which is y2-y1/x2-x1

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

(-:+9:+9-79-9-97-79:97-)7-+/

Answer:

The value of x is 18

Step-by-step explanation:

24 x 15 is 360. ( x + 12 ) x 12 = 360 as well. So, 360÷12=30. 30-12 = 18. So the full equation is (18+12)x12=24×15 which are both equal to 360.

One product/service that is currently in the decline stage is DVD rentals. The decline can be attributed to the rapid rise of digital streaming platforms and the decreasing popularity of physical media. Companies competing in a declining market have strategic options such as harvesting and divesting. Harvesting involves maximizing profits from the declining product/service by reducing costs and maintaining a loyal customer base, while divesting involves exiting the market and reallocating resources to more profitable ventures.

DVD rentals are in the decline stage of the product lifecycle due to several factors. The advent of digital streaming platforms like Netflix, Hulu, and Amazon Prime Video has revolutionized the way people consume media. The convenience and vast content libraries offered by these platforms have led to a significant decline in DVD rentals. Moreover, the proliferation of high-speed internet connections and the increasing availability of streaming devices have made it easier for consumers to access digital content.

In a declining market, companies have strategic options to consider. One option is harvesting, which involves maximizing profits from the declining product/service. Companies can achieve this by reducing costs associated with production, distribution, and marketing, as the demand for the product/service diminishes. They may also focus on retaining their loyal customer base by providing incentives, discounts, or exclusive offers. For example, DVD rental companies may lower rental fees, offer bundle deals, or introduce loyalty programs to retain their remaining customers.

Another strategic option is divesting, which involves exiting the declining market altogether. Companies may choose to reallocate their resources to more profitable ventures or invest in emerging technologies or industries. In the case of DVD rentals, companies could divest by shutting down physical rental stores and selling off their DVD inventory. They could then shift their focus to digital streaming services or invest in other areas with growth potential, such as content production or streaming device manufacturing.

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Answer:

\(2x+y=11\)

Step-by-step explanation:

Standard form of an equation is written as \(ax+by=c\) for some constants \(a\), \(b\), and \(c\).

Slope-intercept form is written as \(y=mx+b\) where \(m\) is the slope and \(b\) is the y-intercept.

Plugging in all given values in the problem (\(m=-2\), \(x=4\), and \(y=3\)), we can solve for \(b\):

\(3=-2(4)=b, \\b=11\).

Therefore, our equation in slope-intercept form is:

\(y=-2x+11\).

Rewriting in this in standard form, we get our answer:

\(\fbox{$2x+y=11$}\)

qwerty

2.8% the answer is 2.8% and b is 2.8%

Answer:

x<-2

Step-by-step explanation:

17+4x<9

4x<-8

x<-2

The solution is:

Work/explanation:

Recall that the process for solving an inequality is the same as the process for solving an equation (a linear equation in one variable).

Make sure that all constants are on the right:

\(\bf{4x < 9-17}\)

\(\bf{4x < -8}\)

Divide each side by 4:

\(\bf{x < -2}\)

Linear equations are equations that have constant rates or slopes

The equation that represents the doctor's charges is \(y = 15x + 20\)

From the graph that represents the dentist charges, we have the following ordered pairs

(x,y) = (0,20) and (1,35)

Start by calculating the slope of the ordered pairs

\(m = \frac{y_2 -y_1}{x_2 -x_1}\)

So, we have:

\(m = \frac{35 - 20}{1 - 0}\)

\(m = 15\)

The equation is then calculated as:

\(y = m(x -x_1) + y_1\)

This gives:

\(y = 15(x -0) + 20\)

\(y = 15x + 20\)

Hence, the equation that represents the doctor's charges is \(y = 15x + 20\)

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The value of the transformation is  2f(x) -1 = 4x³ - 2x² - 9.

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object. Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

Given expression is f(x) = 2x³ - x² -3. The transformation will be done as,

f(x) = 2x³ - x² -3

2f(x) -1 = 2(2x³ - x² -3) - 1

2f(x) -1 = 4x³ - 2x² -6 - 1

2f(x) -1 = 4x³ - 2x² - 7

Therefore, the value of the transformation is  2f(x) -1 = 4x³ - 2x² - 9.

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Given that speed of water in the whirlpool, s (in feet per second) varies inversely with the radius, r (in feet) i.e., s * r = k, where k is the constant of variation.

Using the information, given in the question, we have;

2.5 feet per second * 30 feet = k75 feet² per second = k

We can now use k to find the speed of water at a radius of 3 feet.s * r = k ⇒ ss * 3 feet = 75 feet² per seconds = 2.5 feet per seconds * 30 feet,

since k = 75 feet² per seconds= (75 feet² per second) / (3 feet)ss = 25 feet per second

Thus, the speed of the water at a radius of 3 feet is 25 feet per second.

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Answer:

Box 1= 24  Box 2= 28  Box 3= 99( Not sure about box 3, and sorry if it is wrong)

Step-by-step explanation:

Answer:

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Step-by-step explanation:

8 x (5 - 2) = ( _ x 5) - ( _ x 2)

Distribute

8 x (5 - 2) = ( 8 x 5) - ( 8 x 2)

Question 1a

To calculate the book value at the end of the first year using straight-line depreciation, we need to determine the annual depreciation expense first. The straight-line method assumes that the asset depreciates by an equal amount each year over its useful life. Therefore, we can use the following formula to calculate the annual depreciation:

Annual Depreciation = (Cost - Salvage Value) / Useful Life

Substituting the given values, we get:

Annual Depreciation = ($200,000 - $20,000) / 10 years = $18,000 per year

This means that the tractor will depreciate by $18,000 each year for the next 10 years.

To determine the book value at the end of the first year, we need to subtract the depreciation expense for the year from the original cost of the tractor. Since one year has passed, the depreciation expense for the first year will be:

Depreciation Expense for Year 1 = $18,000

Therefore, the book value of the tractor at the end of the first year will be:

Book Value = Cost - Depreciation Expense for Year 1

= $200,000 - $18,000

= $182,000

So the book value of the tractor at the end of the first year, December 31, 2022, using straight-line depreciation is $182,000. so the answer is D

Question 1(b)

To determine the farmer's noncurrent liabilities, we need to use the information provided to calculate the total liabilities and then subtract the current liabilities from it. Here's the step-by-step solution:

Calculate the total current liabilities using the current ratio:

Current Ratio = Current Assets / Current Liabilities

2 = $80,000 / Current Liabilities

Current Liabilities = $80,000 / 2

Current Liabilities = $40,000

Calculate the total liabilities using the debt/equity ratio:

Debt/Equity Ratio = Total Liabilities / Owner Equity

1.0 = Total Liabilities / $100,000

Total Liabilities = $100,000 * 1.0

Total Liabilities = $100,000

Subtract the current liabilities from the total liabilities to get the noncurrent liabilities:

Noncurrent Liabilities = Total Liabilities - Current Liabilities

Noncurrent Liabilities = $100,000 - $40,000

Noncurrent Liabilities = $60,000

Therefore, the farmer's noncurrent liabilities are $60,000. so the answer is B.

Answer:

e) none of these​

Explanation:

Answer:

e) None of these.

Step-by-step explanation:

Let the unknown number be x, then:

0.65*320 + x = 686

208 + x = 686

x = 686 - 208

= 478