Which sequence of steps is a correct derivation of the difference quotient for f(x) = 3 – log x?

Which sequence of steps is a correct derivation of the difference quotient for f(x) = 3 – log x?

Answer: T'=(-1,-1), U'=(-3,-1), V'=(-1,-4)

Step-by-step explanation:

well, let's assume a year has 365 days, so 75 days is simply 75/365 of a year.  We also know that your loan was $650 and you paid back $680 or namely 30 bucks extra, so the interest on those $650 is really 30 bucks.

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\dotfill &\$30\\ P=\textit{original amount deposited}\dotfill & \$650\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\to \frac{75}{365}\dotfill &\frac{15}{73} \end{cases} \\\\\\ 30 = (650)(\frac{r}{100})(\frac{15}{73})\implies 30=\cfrac{9750r}{7300}\implies 30=\cfrac{195r}{146}\implies 4380=195r \\\\\\ \cfrac{4380}{195}=r\implies \stackrel{\%}{22.46}\approx r\)

Answer:

x = 5j-k

Step-by-step explanation:

(x-j) (5x+k) = 0

(x-j) * (5x+k) = 0

x - 5j + k = 0

x + k = 5j

x = 5j - k

The first option on the list of options is, in my opinion, the right response. Since there is no correlation between x and y, the correlation coefficient for the data would be 0. I believe this answers your query. Enjoy your day. Please feel free to inquire further.

What is the statistics?

Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.

The correlation coefficient for the given data is 0, which represents no correlation between x and y. This means that there is no linear relationship between the age of the participants and the number of questions they could answer correctly. In other words, knowing a participant's age does not give any information about the number of questions they could answer correctly, and vice versa.

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The expression \(5^{3} \times \sqrt{5}\) written as a single power of 5 is \(5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }\)

To write the given expression 5^3 x √5, as a single power of 5,

First, we will write the expression properly.

\(5^{3} \times \sqrt{5}\)

Now, to write the above expression as a single power of 5,

First, express \(\sqrt{5}\) in index form

By law of indices \(\sqrt{x} = x^{\frac{1}{2} }\)

∴ \(\sqrt{5} = 5^{\frac{1}{2} }\)

Now, the expression becomes

\(5^{3} \times 5^{\frac{1}{2} }\)

Also, by law of indices, \(x^{y} \times x^{z} = x^{y+z}\)

∴ \(5^{3} \times 5^{\frac{1}{2} } = 5^{3+\frac{1}{2} }\)

\(= 5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }\)

Hence, the expression \(5^{3} \times \sqrt{5}\) written as a single power of 5 is \(5^{3\frac{1}{2} } \ OR \ 5^{\frac{7}{2} }\)

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Answer:

yeah you're right

Step-by-step explanation:

Solution:

Given:

(-28yx+ 31y²\(x^{4}\))/(-4y²\(x^{4}\))

\(\frac{-28yx}{-4y^{2}x^{4} }\) + \(\frac{31y^{2}x^{4}}{-4y^{2} x^{4} }\)

\(\frac{7}{x^{3} y}\) + \(\frac{31}{4}\)

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After dividing the given equation, the answer in the simplest form is \(\frac{7}{x^{3} y}- \frac{31}{4}\)

What do you mean by simplest form?

A fraction with a denominator and numerator that are both relatively prime has the simplest form. It indicates that the fraction's numerator, which is the portion at the top of the fraction, and denominator, which is the portion at the bottom, do not share any factors other than one.

An amount that represents a fraction of a whole is called a fraction. A fraction's reduced form is another name for its simplest form. A fraction with a common factor of one, such as 34, has the simplest form. Although 2/4 can be further simplified and written as 12, it is not the most basic form. The fractions 12 and 2/4 are equivalent in this case, we can also say.

Given:

⇒(-28yx+ 31y²\(x^{4}\))/(-4y²\(x^{4}\))

⇒ \(\frac{-28yx}{-4x^{4}y^{2}}\) + \(\frac{31y^{2}x^{4}}{-4y^{2} x^{4} }\)

⇒     \(\frac{7} {x^{3} y}\) - \(\frac{31}{4}\)

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Answer:

8:39

Step-by-step explanation:

because when simplified, all the rest are 1:5

Answer:

3848.46 :)

Step-by-step explanation:

Answer:

Ann will serve 40 people with 24 bags of salad

Step-by-step explanation:

3,  6,  9,  12,   15,  18,  21,  24

5,  10, 15, 20, 25, 30, 35, 40

Answer:

3

Step-by-step explanation:

since 1 is one and 2 is 2

Hello !

1 + 2 = 3

Have a good day !

By answering the presented question, we may conclude that Sales Rep: expression This entity maintains information about sales reps such as SalesRepID and SalesRepName.

An expression in mathematics is a collection of representations, numbers, and conglomerates that mimic a statistical correlation or regularity. A real number, a mutable, or a mix of the two can be used as an expression. Mathematical operators include addition, subtraction, fast spread, division, and exponentiation. Expressions are often used in arithmetic, mathematic, and form. They are used in the representation of mathematical formulas, the solution of equations, and the simplification of mathematical relationships.

The ER diagram above depicts the database entities and their connections. Here's a quick rundown of each entity and its characteristics:

Employee: This object contains information on employees such as EmployeeID, Name, DateOfBirth, and Dependents.

ProductID, ProductName, ManufacturingDate, ExpiryDate, and SupplierID are all stored in this object.

Supplier: This entity holds supplier-specific information such as SupplierID, SupplierName, ContactPerson, and ContactNumber.

CustomerID, CustomerName, ContactPerson, and ContactNumber are all stored in the Customer entity.

Sales Rep: This entity maintains information about sales reps such as SalesRepID and SalesRepName.

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To find the measures of central tendency; first we rearrange the data as follows:

2061 - 2213 - 2315 - 2551 - 2765 - 2865 - 2973 - 3065 - 3285 - 4363

• Mean:

Mean = 2845.6

Median:

Median = 2815

• Mode: None of the data is repeated. If no number is repeated within the data set, we say that ,the mode does not exist.

• Midrange:

Midrange = 3212

Answer:

The initial value of the laser printers was $1,900, and the value decreases by 18% each year.

Step-by-step explanation:

Here ya go bestie <3

Answer:

Step-by-step explanation:

The idea behind the standard deviation is to quantify the spread of a distribution by measuring how far the observations are from their mean. The standard deviation gives the average (or typical distance) between a data point and the mean.

1.25

Given expression:

\(-1.25+2.5\)

A few changes were made to the expression.

Those were the following:

Subtract using column subtraction method:

             \(4\)

______________

      \(2 \ \ . \ \ 5 \ \ \ \ \ 0\)        

\(- \ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

______________

      \(\ \ \ 1 \ \ . \ \ 2 \ \ \ \ \ 5\)

Thus, the sum of −1.25 and 2.5 is 1.25.

In this case, the first addend is the digit in the front of the expression.

⇒ a + b

⇒ a is the first addend

Thus, the first addend is -1.25.

The sum is the addition of two or more digits.

⇒ a + b = c

⇒ c is the sum

Thus, the sum is 1.25, which we calculated above.

Finally, let's plot the sum and the first addend on the number line.

Let's see

The correct match for each linear system with one of the phase plane direction fields will be:

1:B

2:C

3:D

4:A

What is plane?

In geometry, a plane is a surface made up of all the straight lines connecting any two locations on it. It is, in other words, a level or flat surface. A plane is uniquely defined in a Euclidean space of any number of dimensions by one of the following: three non-collinear points are used. Other names for it include a two-dimensional surface. A plane has an unlimited width, an endless length, zero thickness, and no curvature. The flat surfaces of a cube or cuboid, as well as the flat surface of paper, are all true instances of geometric planes, despite the fact that it is difficult to envision a plane in real life.

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Answer:

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

There is a difference between the means

Step-by-step explanation:

Step(i):-

Given that mean of the Population = 5.9pounds/square inch

Given mean of the sample = 6.0pounds/square inch

Given that variance of the Population = 0.36

The standard deviation of the Population = √0.36 =0.6

critical value (Z₀.₀₅)= 1.96

Step(ii):-

Null Hypothesis:H₀: x⁻ = μ

Alternative Hypothesis:H₁:  x⁻ ≠ μ

Test statistic

              \(Z = \frac{x^{-}-mean }{\frac{S.D}{\sqrt{n} } }\)

               \(Z = \frac{6.0-5.9 }{\frac{0.6}{\sqrt{160} } }\)

              Z  =  2.1097

Final answer:-

Calculated value Z = 2.1097 > 1.96 at 0.05 level of significance

The null hypothesis is rejected

There is a difference between the means

Answer:

2750

Step-by-step explanation:

Alan - 125

Bob - 14×125

Candy - 7×125

125×(1+14+7)= 22×125=2750

Sam drove approximately 246 miles.

Let's start by subtracting the base fee from the total amount Sam paid to find the additional fee he incurred for the miles driven:

213.33 - 18.99 = 194.34

We know that the additional fee is 79 cents per mile, so we can set up an equation to find the number of miles Sam drove:

194.34 = 0.79x

where x is the number of miles driven.

To solve for x, we can divide both sides of the equation by 0.79:

x = 194.34 / 0.79 ≈ 246

Therefore, Sam drove approximately 246 miles.

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The conclusions are listed below:

In this question we find five cases related to lines, whose features can be inferred from following equation:

y = m · x + b

Where:

Please notice that line rises when m > 0, is horizontal when m = 0, falls when m < 0 and is vertical when m is undefined.

Slope can be determined by secant line formula:

m = Δy / Δx

In addition, two lines are parallel when they share the same slope.

Part 1 - The slope of the line passing through two points is:

m = (6 - 1) / (10 - 4)

m = 5 / 6

The slope of the line indicates that it rises.

Part 2 - First, write the slope of the parallel line:

m = 0

Second, calculate the y-intercept from equation of the line:

b = 7 - 0 · 4

b = 7

Third, write the equation of the parallel line:

y = 7

Part 3 - First, determine the slope of the line:

m = (4 - 0) / [0 - (-3)]

m = 4 / 3

Second, calculate the intercept of the line:

b = y - m · x

b = 4 - m · 0

b = 4

Third, write the equation of the line:

y = (4 / 3) · x + 4

Part 4 - First, write the slope of the line:

m = 12

Second, determine the y-intercept of the equation of the line:

b = y - m · x

b = 4 - 12 · 0

b = 4

Third, write the equation of the line:

y = 12 · x + 4

Part 5 - According to secant line formula, undefined slope indicates a vertical line, that is, a line parallel to y-axis.  

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Answer:

I believe the answer would be \(\sqrt{6}+\sqrt{2}\) or 3.8637

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Triangle ABC and ADE are similar triangles

Similar triangles have the same corresponding angle measures and proportional side lengths.

This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.

It has been shown that angles in ABC and ADE are equal.

To show that the ratio of corresponding sides are equal

6/12 = 8/16 = 10/20

The ratios all give a value of 1/2

Therefore we can say that the triangles ABC and ADE are similar.

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The value of x is 17

To determine the value, we need to know that;

Then, from the information given, we have that;

2x and 3x + 5 are complementary

Then, we have that;

2x + 3x + 5 = 90

collect the like terms, we have;

5x = 85

Divide by the coefficient of x, we get;

x = 17

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Answer:

1.76

Step-by-step explanation:

i cant explain ;w;

The derivative at x = 3 does not exist.

To see why, recall the definition of absolute value:

\(|x| = \begin{cases}x&\text{if }x\ge0\\-x&\text{if }x<0\end{cases}\)

If x - 3 ≥ 0, then

2 + |x - 3| = 2 + (x - 3) = x - 1

and the derivative of this piece is 1 for all x > 3.

If x - 3 < 0, then

2 + |x - 3| = 2 - (x - 3) = 5 - x

and its derivative is -1 for all x < 3.

The derivatives to either side of x = 3 are not the same, so f '(x) is not continuous and indeed does not take on any value at this point.

Answer: 56.52mm

Step-by-step explanation:

First, you have to find the circumference of the wheel and divide it by 25 since the spokes are equally spaced.

The equation for the circumference of a circle is:

C = 2πr

C = 2 x π x 225

C = 1413

Then, you divide it by 25

1413/25 = 56.52

Answer: 115.42 ft

Step-by-step explanation:

Answer:

10000

Step-by-step explanation:

100 hugs x 100 hugs

= 10,000 hugs.

Answer:

Step-by-step explanation:

Reflecting across the x-axis means (x,y) maps onto (x,-y).

So, A' has coordinates (-2,0), B' has coordinates (-6,-5), and C' has coordinates (-3, -4).