Condense the following logarithmic expression.
2 ln(x) + 5 ln(y) - 7 ln(z) - In (5)
Answer:

There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.

The steps to create a line graph to compare two sets of data:

Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.

Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.

Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.

Add a title: Give the graph a title that describes what the graph is showing.

Add a legend: Add a legend to the graph to indicate what each set of data represents.

Add labels: Label the x- and y-axes to indicate what they represent.

By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.

Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.

To know more on chart

https://brainly.com/question/26273466

#SPJ4

Answer:

6[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

In this equation I will do the elimination method.

3x-y=6

3x+y=34

6x=40

Simplify

x=6[tex]\frac{2}{3}[/tex].

Check:

3(6.666...)-y=6

20-y=6

-20 from 6

-y=-14

y=14

20-14=6

6=6

3x(6.666...)+y=34

20+14=34

34=34

Answer:The answer to your question is 5

Answer:

Step-by-step explanation:

Divide: 18 ÷3=?

The answer is 6

If Cherri brought $2100 computer on an installment plan and made $400 down payment and monthly payment for $79. 50 for the next two years, then the interest amount is $208 .

the cost of the computer is = $2100 ;

the amount paid as down payment is = $400 ;

the amount that will be paid in monthly installment is = $79.50 ;

the time for the loan is = 24 months ;

So , the amount paid as installment is 24 months is = [tex]24 \times79.50[/tex]

= $1908 .

So , the total amount paid by Cherri with installment plan is = [tex]\$1908+\$400[/tex]

= $2308 .

So , the interest amount paid is = [tex]\$2308-\$2100[/tex]

= $208 .

Therefore , Cherri will pay $208 as interest .

Learn more about Interest here

https://brainly.com/question/13793534

#SPJ4

Answer:

Step-by-step explanation:

7(9w)7(9w) = 11

(7 ×7)(9×9)(w×w) = 11

49 ×81 w² = 11

3969w² = 11

[tex]\frac{3969w^{2} }{3969}[/tex] =  [tex]\frac{11}{3969}[/tex]

w²   =  [tex]\frac{11}{3969}[/tex]

[tex]\sqrt{w^{2} }[/tex]   =   [tex]\sqrt{11/3969}[/tex]

w = ± [tex]\frac{\sqrt{11} }{63}[/tex]

Because the solution contains a square root the answer contains both a negative and a positive solution.  

If and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

A function, according to a technical definition, is a relationship between a set of inputs and a set of potential outputs, where each input is connected to precisely one output.

The function f has an inverse if and only if the result of reflecting a function's graph about the line y = x is the function's graph (passes the vertical line test).

Therefore, if and only if the outcome of reflecting a function's graph about the line y = x is the function's graph, then the function f has an inverse (passes the vertical line test).

Know more about a function here:

https://brainly.com/question/10439235

#SPJ4

Answer: x=-1/4 and x=-1

Step-by-step explanation:

The answer choices you give are extremely hard to figure out, so I hope my explanations and answers help.

The quadratic formula is [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]. Once we figure out a, b, c, we can plug them into the formula and solve for x.

The standard form equation is ax²+bx+c=0. The equation given matches this so we know that:

a=4

b=5

c=1

Plug them into the formula. There is a [tex]\pm[/tex] symbol, which stands for "plus or minus". This means we solve the formula with addition and subtractions separately. We should have 2 solutions at the end. Let's do them separately to show work.

Solution 1: addition

[tex]x_1=\frac{-5+\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_1=\frac{-5+\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_1=\frac{-5+\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_1=\frac{-5+\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_1=\frac{-5+3}{8}[/tex]                            [add]

[tex]x_1=\frac{-2}{8}[/tex]                                [divide top and bottom by 2]

[tex]x_1=-\frac{1}{4}[/tex]

Solution 2: subtraction

[tex]x_2=\frac{-5-\sqrt{5^2-4(4)(1)} }{2(4)}[/tex]             [exponents]

[tex]x_2=\frac{-5-\sqrt{25-4(4)(1)} }{2(4)}[/tex]             [multiply]

[tex]x_2=\frac{-5-\sqrt{25-16} }{8}[/tex]                    [inside square root]

[tex]x_2=\frac{-5-\sqrt{9} }{8}[/tex]                          [square root]

[tex]x_2=\frac{-5-3}{8}[/tex]                            [subtract]

[tex]x_2=\frac{-8}{8}[/tex]                                [divide]

[tex]x_2=-1[/tex]

I am not able to find the answer choices, but we know that x=-1/4 and x=-1.

The unknown angles in the parallel lines are as follows;

x = 28

y = 23

When parallel lines are cut by a transversal line, angle relationships are formed such as linear angles, vertically opposite angles, interior angles, corresponding angles, alternate interior angles, alternate exterior angles etc.

using vertical angles and same side interior angles,

5y - 4 + 3y = 180 (same side interior angles are supplementary)

8y - 4 = 180

8y = 180 + 4

8y = 184

divide both sides by 8

y = 184 / 8

y = 23

Hence,

3y  = 2x + 13(corresponding angles)

corresponding angles are congruent.

Hence,

3(23) = 2x + 13

69 - 13 = 2x

2x = 56

x = 56 / 2

x = 28

Therefore,

x = 28

y = 23

learn more angles here: https://brainly.com/question/18359073

#SPJ1

5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.

The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.

There are 64 possible options to look at (8 x 8).

If one die is a 1, then no combinations will be possible, even if the other die is an 8.

If one dice is a 2, then no combinations will be possible, even if the other die is an 8.

If one dice is a 3, then no combinations will be possible, even if the other die is an 8.

If one die is a 4, then no combinations will be possible, even if the other die is an 8.

If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.

If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.

If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.

If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.

Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.

As a result, the response is 5/32 because 10/64 = 5/32.

To learn more about probability, refer to:

https://brainly.com/question/24756209

#SPJ4

The value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule is -13/5.

The general formula for Cramer's rule is

DX = detX/detA

Where detX is the determinant of the matrix formed by replacing the x-column of the original matrix with the constant column vector, and detA is the determinant of the original matrix.

For the given equations,

A = [3, 2; 7, 4]

X = [-11; -9]

Therefore,

detA = 3*4 - 2*7 = -10

detX = 3*(-9) - 2*(-11) = 13

Hence, DX = detX/detA = 13/-10 = -13/5

The value of DX for solving simultaneous  

3x 2y =- 11 and 7x 4y 9 by Cramer's rule equation is -13/5.

Learn more about equation here

https://brainly.com/question/29657992

#SPJ4

Inverse functions are indicated by the symbol [tex]f^{-1}[/tex] and are functions whose inverse is the function itself (x).

A function takes in values, applies specific operations to them, and produces an output. The inverse function acts, agrees with the outcome, and returns to the initial function. The inverse function, which also returns the beginning value, returns the result of a function.

The relationship that results from swapping out an independent variable for a variable that depends on a given equation, and which may or may not be a function. Consider the inverse relationship between the functions f and g: f(g(x)) = g(f(x)) = x.

To learn more about Inverse here:

https://brainly.com/question/2541698

#SPJ4

Yes, because as x increases, y increases and because all of the pairs represent the same ratio.

When two sets of provided numbers change in proportion, the ratios are said to be directly proportional if they do so in the same direction.

If two ratios or fractions are equivalent, it may be shown using the proportion formula. By dividing the supplied numbers, we may determine the value that is missing. You may write the percentage formula as a: A and d are the extreme terms, and b and c are the middle terms, according to the formula b::c: d = a/b = c/d.

Yes, because as x increases, y increases.

Yes, because all of the pairs represent the same ratio.

To know more about ratio and proportion visit:

brainly.com/question/29774220

#SPJ1

The place value of the following underlined digit are as follows:

In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:

In this scenario, the underlined digit 8 in "0.983" has a place value of hundredths because it is located 2 places after the decimal point. Additionally, the underlined digit 4 in "145.58" has a place value of tens because it is located 2 places before the decimal point.

Read more on place value here: brainly.com/question/569339

#SPJ1

Complete Question:

Identify the place value of the underlined digit.

1) 0.983

2) 8.47

3) 145.58

4) 0.005

5) 31.0643

Answer:

x = - 7

Step-by-step explanation:

given that the 3 angles in the triangle are congruent, then the triangle is equilateral with the 3 sides congruent , then

x + 16 = 9 ( subtract 16 from both sides )

x = - 7

Answer:

x=-7

Step-by-step explanation:

The triangles sides are all the same in length, therefore, you need all the sides to be equal to 9.

-12+16=4   This addition problem does not equal to 9 so it is not correct.

-7+16=9     This is correct because -7+16 or 16-7 = 9.

-9+16=7    This addition problem does not equal to 9 so it is not correct.

-11+16=5    This addition problem does not equal to 9 so it is not correct.

So, x = -7.

Answer:

The most likely suspect for the hard drive being very active even though the computer is not being used and is not connected to the Internet is malware. Malware is a type of software that is designed to cause harm to a computer system, and it can often run in the background without the user's knowledge.

The vertex of the equation is (0, -1), the line of symmetry is x = 0 and the y-intercept is (0,-1).

For the equation f(x) = [tex]-3x^7[/tex] + 2x - 1, the vertex is the highest or lowest point on the parabola and it can be found by completing the square method.

To find the line of symmetry, we can set the function equal to zero and solve for x. The x-coordinate of the vertex is the same as the line of symmetry.

The y-intercept is the point at which the parabola crosses the y-axis, and it can be found by setting x equal to zero and solving for y.

The vertex of the parabola:

The line of symmetry:

The y-intercept:

To learn more about vertex, line of symmetry, and intercept at

https://brainly.com/question/29204747?referrer=searchResults

#SPJ4

Using the Pythagoras Theorem the value of c=11.40 and the number that goes beneath the radical is 130.

What is Pythagoras Theorem?

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.

The rectangle is divided into two triangles which have exactly same sides.

So take any one triangle.

Apply the Pythagoras theorem since it is a right-angled triangle with base = 9 and perpendicular = 7.

So, according to Pythagoras theorem -

(Hypotenuse)^2=(Base)^2+(Perpendicular)^2

Plugging in the values in the equation -

c^2=(9)^2+(7)^2

c^2=81+49

c^2=130

c=[tex]\sqrt{130}[/tex]

c=11.40

Therefore, the value of c is obtained as 11.40.

To learn more about Pythagoras Theorem from the given link

https://brainly.com/question/231802

#SPJ1

Answer:

Step-by-step explanation:

the answer is 152

By solving the expression (3x2 +4x − 15) ÷ (x +3) the quotient is 3x-5 and r=0

When solving a division problem, the quotient is obtained by dividing the dividend by the divisor.

Mathematically, we denote the outcome of this division by separating the quotient and remainder with a capital R. (see below). The entire number that results from simplifying a fraction is known as the quotient.

We can do it by long division method  the required quotient is 3x-5 and r=0

not 3x-1 , r=1

multiply the divisor with 3x we will get 3x²+9x to cancel out the first term of dividend.

Now after solving we will get -5x -15

Now, multiply the divisor by -5 we will get -5x-15 which will cancel the entire dividend.

So that the quotient is 3x-5 and r=0

To learn more about quotient visit:

brainly.com/question/11418015

#SPJ4

Select the data for which you want to create a chart slope . Click INSERT > Recommended Charts. On the Recommended Charts tab, scroll through the list of charts that Excel recommends for your data

When you find the chart you like, click it > OK.

The formula for a horizontal line at y=4 is as follows: There is no slope. 4.0 is the y-intercept.

What are the Slope and intercepts ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.

To know more about Slope please click here

brainly.com/question/29265771

#SPJ4

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{5}~,~\stackrel{y_2}{-2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{-2}-\stackrel{y1}{(-2)}}}{\underset{\textit{\large run}} {\underset{x_2}{5}-\underset{x_1}{3}}} \implies \cfrac{-2 +2}{2} \implies \cfrac{ 0 }{ 2 } \implies \text{\LARGE 0}[/tex]

Answer:

slope = 0

Step-by-step explanation:

calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (3, - 2 ) and (x₂, y₂ ) = (5, - 2 )

m = [tex]\frac{-2-(-2)}{5-3}[/tex] = [tex]\frac{-2+2}{2}[/tex] = [tex]\frac{0}{2}[/tex] = 0

Using simple unitary method and with the total and per unit value provided, The answer is 8 boxes maximum can be bought.

The unitary method is a method used in mathematics to solve problems involving units of measurement. It involves expressing the units of measurement as a fraction or multiple of a single unit and then using this fraction or multiple to solve the problem. The method is particularly useful in solving problems involving conversions between different units of measurement. The unitary method is particularly useful in solving word problems where the conversion of units is required. It involves expressing the given information in terms of a single unit and then using that information to find the unknown quantity.

The unitary method is a useful tool for solving problems involving units of measurement, it simplifies the problem and improves understanding of conversions. It also helps to develop critical thinking skills and is a useful tool for problem-solving in a variety of subjects.

each box costs  = 2.5

total money =20

maximum that can be bought = 20/2.5 =8

To learn more about unitary method visit:

brainly.com/question/22056199

#SPJ1

Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

What is the area of circle?

The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.

Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2

By substituting π = 22/7 we get:

154 = (22/7)r^2

Solving for r, we get:

r = sqrt(154*7/22)

The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.

By substituting the value of r we got before, we get:

C = 2πr = 2*(22/7)sqrt(1547/22)

To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:

C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches

Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.

To learn more about Area of circle, Visit

https://brainly.com/question/14068861

#SPJ4

On solving the provided question, we can say that - here in the given equation we got x- 1 = 0; x = 1, y = 2

An equation is a formula in mathematics that joins two statements with the equal symbol = to represent equality. The definition of an equation in algebra is a mathematical statement proving the equality of two mathematical expressions. In the equation 3x + 5 = 14, for instance, the terms 3x + 5 and 14 are separated by an equal sign. The link between two phrases on either side of a letter is expressed mathematically. There is often only one variable, which is also the symbol. instance: 2x - 4 Equals 2.

y = 2x +1

y = 3x - 1

x- 1 = 0

x = 1, y = 2

To know more about equation visit:

https://brainly.com/question/649785

#SPJ1

The actual dimensions are 9.75 feet and 7.5 feet. The area will be 73.125 square feet.

The ratio of the scale of an original thing to a new object that is a representation of it but of a different size is known as a scale factor (bigger or smaller).  The scale factor is defined as the proportion of the new image's size to that of the previous image.

Here the scale factor for the given image is 2 inch = 3 ft.

The measure of the actual dimensions will be calculated as,

2 in = 3 ft

1 in = 3/2 ft

6.5 in = 6.5 x 3 / 2 = 9.75 ft

5 in = 5 x 3 / 2 = 7.5 ft

The actual area will be calculated as,

Area = 9.75 x 7.5

Area = 73.125 square feet

To know more about scale factors follow

https://brainly.com/question/2826496

#SPJ1

The experimental probability of spinning a number less than 3.

7/25.

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

The total number of spuns.

= 8 + 6 + 9 + 11 + 9 + 7

= 50

Total number of spuns of the spinner less than 3.

= 8 + 6

= 14

The probability of spinning a number less than 3.

= 14/50

= 7/25

Thus,

The probability is 7/25.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 3 times of the time, increased.

Given,

A snail is moving away from a rock.

The equation d=3t represents the relationship between the distance, d , in inches that the snail is from the rock and time, t, in minutes.

The number '3' is constant term, which basically represents the the distance covered by the snail, in terms of time or, the rate of increment of distance is terms of time.

Distance and time here is directly proportional to each other and the term '3' shows that the distance is increasing, is 1/3 of the time, increased.

For example if the snail is moving for 1 unit time, the t will be considered as 1. so, the d will be 3*1 = 3, i.e. 3 unit distance will be covered by the snail in 1 unit time.

To know more about time and distance here:

https://brainly.com/question/12037718#

#SPJ4

In linear equation, 35 feet per minute is the rate of descent per minute.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.        

                         Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

It’s 35 feet per minute. 175 divided by 5 equals 35.

   A submarine descends =  175 ft

                   Time = 5 minutes

         The rate of descent is constant = 175/5

                                             = 35 feet per minute

Learn more about linear equations

brainly.com/question/11897796

#SPJ4

Answer:  Part A:

To represent the cost per night x and cost per meal y in a system of equations, we can use the information provided in the question:

First Special:

3x + 4y = 233

Second Special:

3x + 3y = 226.50

Where x is the cost per night and y is the cost per meal.

Part B:

To find the cost per night and the cost per meal, we can use the information provided in the question and system of equations.

We can solve this system of equations using several methods: substitution or elimination method.

One common method to find the solution is by substitution method, where we find the value of x in terms of y from one of the equations and then substitute it into the other equation to solve for y.

x = (233 - 4y)/3

then substitute it into the other equation:

3(233 - 4y) + 3y = 226.50

now solve for y:

699 - 12y + 3y = 226.50

-9y = -472.50

y = 52.50

and we can substitute it back into the first equation:

3x + 4(52.50) = 233

3x = 80.50

x = 26.83

So the cost per night is $26.83 and the cost per meal is $52.50

Step-by-step explanation: