What division Problem can be represented using the number line?

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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Unit analysis is a tool that we can use to convert units. It involves multiplying the original number by a fraction to cancel out units.

We're given:

\(\dfrac{3240\hspace{4}feet}{hour}\)

We also know that:

\(\dfrac{hour}{60\hspace{4}minutes}\)

Multiply the two to cancel out the hour:

\(\dfrac{3240\hspace{4}feet}{hour}\times\dfrac{hour}{60\hspace{4}minutes}\\\\=\dfrac{3240\hspace{4}feet}{60 minutes}\)

Simplify:

\(=\dfrac{54\hspace{4}feet}{minute}\)

\(\dfrac{54\hspace{4}feet}{minute}\)

Answer:

5t+9

Step-by-step explanation:

Answer:

P = 2/3

Step-by-step explanation:

45 cards in all

15 blue

15 red

15 green

To figure out the probability of red and blue together, add red and blue.

15 + 15 = 30

Since the total is 45, this is how many 30 will be out of.

30 out of 45 = 30/45

Simplify 30/45 by dividing each side by 15

30 ÷ 15 = 2

45 ÷ 15 = 3

30/45 = 2/3

Answer:

its 2/3 i took the k12 test and got it right:

Step-by-step explanation:

here is proof:

Answer:

Mark up % = 25%

Step-by-step explanation:

Cost of 100 shirts = 2000

Cost of 1 shirt = 2000/100 = 20

Selling price of  1shirt = 25

\(\% mark \ up = \frac{selling \ price - cost \ price }{cost \ price } \times 100 = \frac{25- 20}{20}\times 100 = \frac{5}{20} \times 100 = 25 \%\)

Solution for the given System of linear equation is:

Simultaneous equations, system of equations Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods to solving systems of equations: graphing, substitution, elimination and matrices.

Given,  the system of linear equations on the left with its solution type on the right

For  Y=2x-1 and Y=2x+1

Adding both equation,  we will get y = 4x

Thus, these equations have infinite number of solution

For 2x - y = 7 and 3x + y = 3

Adding these equations

5x = 10

x= 2

Substitute the value in equation 1

y = -3

Thus, solution is (2, - 3)

therefore, the Solution for the given System of linear equation is:

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Complete question:

Answer:

Step-by-step explanation:

The closer together the points are to a line that can be drawn, the stronger the association.

1.  weak is B, the points are all over the place and a clear line can't even be drawn

2.  moderate is A, if you drew a line between the points, a line can be drawn and they points are somewhat close to the line

3. strong is C because you can draw a line through points are they are pretty closely clustered near the line.

The quotient in the form q(x)+r(x)/b(x) which is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6), and the identification q(x) , r(x) , and b(x) are as follow :q(x) =   x^3 +4x

r(x) = 24x +1

b(x) = x^2 − 6

Given details in the following question are as follows:

x^5 − 2x^3 + 1 is divided by x^2 − 6

By using the divisor method :

x^5 − 2x^3 + 1 / x^2 − 6 = x3 +(4x^3+1 is divided by  x^2 − 6)

= x^3 +4x +(24x +1 divided by  x^2 − 6)

where we can see that the q(x) +r(x)/b(x) is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6)

q(x) =   x^3 +4x

r(x) = 24x +1

b(x) = x^2 − 6

The quotient in the form q(x)+r(x)/b(x) which is equal to the  x^3 +4x +(24x +1 divided by  x^2 − 6)

A divisor divides a number into equal groups. The number that is being divided is called the dividend and the number that divides it is called the divisor.

Divisor Formula

The divisor formula is formed for two situations - with or without a remainder:

If the remainder is 0, then Divisor = Dividend ÷ Quotient.

If the remainder is not 0, then Divisor = (Dividend - Remainder) ÷ Quotient

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The equation of the directrix of the parabola found in part A is \(x^2 = -2cy + c^2.\)

The equation of the parabola formed when a cross section is taken through the reflector's central axis is

\(y = (1/12)(x - 0)^2 + 0.\)

In this equation, the vertex is at the origin (0, 0) and the coefficient 1/12 determines the shape of the parabola.

The equation implies that the parabola opens upward because the coefficient of \(x^2\) is positive.

To find the equation of the directrix, we can use the distance formula. The directrix is a horizontal line that is equidistant from the vertex as any point on the parabola.

Since the parabola is symmetric with respect to the y-axis, the directrix will also be symmetric with respect to the y-axis.

Let's assume that the directrix is a horizontal line with the equation y = c, where c is a constant.

To find the value of c, we need to consider a point (x, y) on the parabola. The distance from the point (x, y) to the directrix y = c should be equal to the distance from the point (x, y) to the vertex (0, 0).

Using the distance formula, the distance from (x, y) to the directrix y = c is given by |y - c|, and the distance from (x, y) to the vertex (0, 0) is given by \(\sqrt{(x^2 + y^2)}\)

Setting these distances equal, we have:

\(|y - c| = \sqrt{(x^2 + y^2)}\)

Squaring both sides of the equation, we get:

\((y - c)^2 = x^2 + y^2\)

Expanding and simplifying the equation, we have:

\(y^2 - 2cy + c^2 = x^2 + y^2\)

Simplifying further, we obtain:

\(-2cy + c^2 = x^2\)

Rearranging the terms, we get:

\(x^2 = -2cy + c^2\)

This equation represents the equation of the directrix of the parabola formed by the reflector.

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Answer:

If it's the hour hand, 1/4 of a day or 6 hours have passed. If it's the minute hand, 1/48 of a day or 30 minutes have passed.

Step-by-step explanation:

BRAINLIEST, PLEASE!

Answer:

y = (3/2)x + 4

Step-by-step explanation:

The equation for a line is y = mx + b. m is the slope, b is the y-intercept, and y and x are points.

First, substitute in the slope.

y = (3/2)(x) + b

Then, substitute in the points.

-5 = (3/2)(-6) + b

Multiply.

-5 = -9 + b

Add 9 to both sides.

b = 4

Therefore...

y = (3/2)x + 4

Answer:

The answer would be 5 and -12

Answer:

Step-by-step explanation:

its c

The number of possible license plates that can be issued using this system is 17,576,000.

To find the number of possible license plates that can be issued using this system, we need to determine the number of options for each character in the license plate.

For the first character, there are 26 letters in the English alphabet, so we have 26 options.

Similarly, for the second and third characters, we also have 26 options each.

For the fourth character, there are 10 possible numbers (0-9).

And for the fifth character, there are again 10 possible numbers.

To find the total number of possible license plates, we need to multiply the number of options for each character together.

Number of possible license plates = Number of options for the first character * Number of options for the second character * Number of options for the third character * Number of options for the fourth character * Number of options for the fifth character

Number of possible license plates = 26 * 26 * 26 * 10 * 10

Calculating this expression gives us:

Number of possible license plates = 17,576,000

Therefore, the number of possible license plates that can be issued using this system is 17,576,000.

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Answer:

52

Step-by-step explanation:

Answer:

52 cubic units

Step-by-step explanation:

so first, you would do the top rectangle

2 x 4 = 8

then the one below

4 x 2 = 8

times the hight now

8 x 3 = 24

now the bottom

4 x 5 = 20

add them all up

8 + 24 + 20 =

32 + 20 =

52

A. The graph of the absolute value function is V-shaped, with the features given as follows:

B. The transformation is that the function was shifted right two units, hence the features are given as follows:

The absolute value function, with vertex (h,k), is defined as follows:

y = |x - h| + k.

The features of the function are given as follows:

For the first item, the function is |x + 3|, hence we just have to identify the features.

For the second function, the definition if h(x) = |x - 2|, with vertex at (2,0), meaning that the function was shifted two units right from the parent absolute value function y = |x|. The shift just changes the turning point of the graph, not altering domain and range.

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Answer:

Flase, no real numbers (2+-8)

Step-by-step explanation:

First, you conjoined the equations (-6x+2=-6x-8).  Then you conjoined the variables first, (-6x+6x=0). Now you have 2=-8, which is not true.

The required probability of not getting all tails is  2037 / 2048.

Given that,
If you flip 11 coins, the probability of not getting all 11 tails is to be determined.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

The process in mathematics to operate and interpret the function to make function simple or more understandable called simplify and the process is called simplification.

Since each coin has 2 possible outcomes for a single toss i.e either head or tail.

Total number of sample spaces for the 11 coins to be tossed = 2^11 = 2048
The number of favorable outcomes for all tails = 11
Probability of not getting all 11 tails = 1 - probability of all are tails
                                                    = 1 - 11 / 2048
                                                    = 2037 / 2048

Thus, the required probability of not getting all tails is  2037 / 2048.

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Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

In mathematics, a percentage is any value that can be written as a fraction of 100. There are also sporadic uses of the abbreviations "pct.," "pct," or "pc." However, it is commonly indicated by the "%" mark. The proportional amount is flat and lacks any dimensions. Since percentages have a numerator of 100, they can be thought of as fractions. The percent symbol (%) must come after a number to denote that it is a percentage.

Here,

This is a radioactive decay / half-life problem.

Initial amount of C 14 = 100% Present Amount = 57%

k = .0001  (that value should be negative)

Nt = No * e^ (k*t)

You need to solve that equation for "time" (equation attached)

time = natural log (Ending amount / Starting Amount) / k

time = natural log (57% / 100%) / -.0001

time = ln (.57) / -.0001

time = -.56211891815 / -.0001

time = 5,621.2 years    (age of the bird skeleton)

Therefore , the solution of the given problem of percentage comes out to be time = 5,621.2 years  age of the bird skeleton.

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The complete question is "A geologist in South America discovers a

bird skeleton that contains 57% of its

original amount of C-14.

N = Noekt

No = inital amount of C-14 (at time

t = 0)

N = amount of C-14 at time t

k = 0.0001

t = time, in years

Find the age of the bird skeleton to the nearest year"

Answer:

102 Non-Participation

357 One sport

238 Two sports

153 Three sports

Step-by-step explanation:

Answer:

671/60 or 11.2 approxiamtley

Step-by-step explanation:

just subtract it in desmos

1 cm = 10 mm. Length of book : 28 cm. Length of book = 280 mm. This shows that measurements in mm are the same but look to have a higher number .

The conversion factor provided states that 1 cm is equal to 10 mm, which means that 1 cm is made up of 10 individual millimeters.

The length of my book in when measured in millimeters is 280 mm.

In centimeters, this is therefore:

= 280 mm / 10 cm /mm

= 28 cm

Although the numerical value appears higher when expressed in millimeters, it is important to note that the actual length of the book remains the same.

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Answer:

B. 14,525

Step-by-step explanation:

If a tablet costs $35 and the school is purchasing tablets for every student, then the total cost to buy tablets for the whole school would be:

$35 x 415 = $14,525

Therefore, the answer is B. $14,525.

The required average price of the new home in 2000 was $310798.12.

Percentage is a measurement to find value of given number out of hundred.

Given that,

The average price of new home in 2016 = $662,000.

Since,

The price increased by 113% and from 2000 to 2016,

So the increased price in percentage = 100 + 113 = 213%.

Let the initial price of new home was x which is 100%.

According to given conditions,

213 % = 662,000

1 % = 662000/213

1 % = 3107.9812

100 % = 310798.12

The average price of the new home in 2000 was $310798.12.

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Answer:

======================

The given function f(x) = x² - 2x + 1 can be transformed into the function g(x) as follows, g(x) is obtained by:

So the rule for g(x) can be obtained by performing these operations on the rule for f(x).

Reflection in the y-axis can be achieved by replacing x with -x in f(x).

This gives:

Next, we need to vertically stretch the graph by a factor of 3. To achieve this, we can multiply f(-x) by 3.

This gives:

Finally, we need to translate the stretched graph 2 units to the left.

To achieve this, we can replace x with (x + 2) in 3f(-x).

This gives:

Simplifying this expression, we get:

Therefore, the rule for g is g(x) = 3x² + 18x + 27.

Answer:

$3606.44

Step-by-step explanation:

The question asks us to calculate the principal amount that needs to be invested in order to earn an interest of $6180 in 28 years at an annual interest rate of 6.12%.

To do this, we need to use the formula for simple interest:

\(\boxed{I = \frac{P \times R \times T}{100}}\),

where:

I = interest earned

P = principal invested

R = annual interest rate

T = time

By substituting the known values into the formula above and then solving for P, we can calculate the amount that James needs to invest:

\(6180 = \frac{P \times 6.12 \times 28}{100}\)

⇒ \(6180 \times 100 = P \times 171.36\)     [Multiplying both sides by 100]

⇒ \(P = \frac{6180 \times 100}{171.36}\)    [Dividing both sides of the equation by 171.36]

⇒ \(P = \bf 3606.44\)

Therefore, James needs to invest $3606.44.

The collection, description, analysis, and drawing of conclusions from quantitative data are all included in the area of statistics, which is a branch of applied mathematics. Probability theory, linear algebra, and calculus of differential and integrals are some of the core mathematical concepts in statistics.

Descriptive statistics were used in the statement.

Descriptive statistics is a branch of statistics that deals with the collection, presentation, and summary of data. It is used to describe and summarize the main features of a data set, such as measures of central tendency (e.g., mean, median, mode) and measures of dispersion (e.g., range, variance, standard deviation).

In this case, the statement is simply reporting a single value, the average credit card debt for college students in 2008. This is an example of a descriptive statistic because it is a summary measure that describes a characteristic of the population or sample under study.

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Descriptive statistics were used in the statement.

Descriptive statistics is a branch οf statistics that deals with the analysis, descriptiοn, and summarizatiοn οf data. It invοlves the use οf variοus statistical measures, such as measures οf central tendency (mean, median, and mοde), measures οf dispersiοn (standard deviatiοn, variance, range), and graphical representatiοns (histοgrams, bοx plοts, scatter plοts, etc.) tο describe the features οf a dataset.

Descriptive statistics were used in the statement. The statement is simply describing the average credit card debt fοr cοllege students in 2008. Descriptive statistics are used tο describe οr summarize a dataset οr pοpulatiοn, while inferential statistics are used tο draw cοnclusiοns οr make predictiοns abοut a larger pοpulatiοn based οn a sample οf data. Since the statement οnly prοvides infοrmatiοn abοut a specific grοup οf cοllege students in 2008, it dοes nοt invοlve making any inferences οr predictiοns beyοnd this grοup.

Hence, Descriptive statistics were used in the statement.

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Answer:

22.2 km/L

Step-by-step explanation:

The car goes 200 km with 9 L of gas or petrol.

To find out the gas mileage, divide the distance by volume or:

200 km/ 9L = 22.2 km/L

Note: this answer is approximate. The real answer is a repeating decimal.

\(\frac{12}{2} (x+6)=2x-9\)

\(6x+36=2x-9\)

\(4x = -45\)

\(x = -\frac{45}{4}\)

Hope that I helped you!