The coordinate grid shows the plot of four equations: A coordinate grid is shown from negative 12 to positive 12 on the x axis and also on the y axis. Line A passes through the ordered pairs negative 3, 4 and 9, negative 2. Line B passes through the ordered pairs 2, 8 and 8, negative 8. Line C passes through the ordered pairs negative 3, negative 4 and 4, 6. Line D passes through the points 2, negative 2 and 5 and 6. Which set of equations has (4, 3) as its solution? (1 point) a A and D b B and D c A and C d B and C

Thus,  it will take 130 students approximately 8,450 minutes to study for the test.

Based on the information provided, we can predict the time it will take for 130 students to study for the test. A group of 25 students spent 1,625 minutes studying. To find the average time per student, we divide the total time by the number of students:

Using unitary method:
1,625 minutes ÷ 25 students = 65 minutes per student

Now, we can use this average time to predict the time for 130 students:

65 minutes per student × 130 students = 8,450 minutes

Therefore, it will take 130 students approximately 8,450 minutes to study for the test.

Know more about the unitary method

https://brainly.com/question/23423168

#SPJ11

An expressions for p, the price of the item are:

0.75p,  p - 0.25p, (1 - 0.25)p

The correct options are A, E and H

Here, a store is having a 25% off sale.

And the item has a price of p.

The price of item would be p minus 25 percent of p, because 25% off means we have to pay 25% less than the original price.

We can represent this information in an expression form as:

p - (25% of p)            ...........(1)

Using percentage formula, the 25% of p would be,

25% of p

= (25/100)  × p

= (1/4) × p

= (0.25)p

So, expression (1) becomes,

p - (25% of p)

= p - 0.25p

= (1 - 0.25)p

= 0.75p

Therefore, the correct options are A, E and H

Learn more about an expression here:

https://brainly.com/question/1859113

#SPJ1

Find the complete question below.

Answer: option 3 is correct

Step-by-step explanation: Simplify the expression.−8m^5z^6

The solution to the equation is x= -10 and y= 5.

We have Equations,

2x + 6y = 10............(1)

3x - 2y = -40............(2)

Now, solving equation (1) and (2) we get

2x + 6y = 10

9x - 6y = -120

+    +       +

__________

   11x = -110

      x = -10

and, 3(-10) - 2y= -40

-30 - 2y= -40

-2y = -10

y=5

Learn more about equation here:

https://brainly.com/question/29538993

#SPJ1

Answer:

Volume of cube =a3=43=64 cm3.

Step-by-step explanation:

Answer is 64 cm3

Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

Solution to given logarithmic equations and inequalities are;

x = 1

x = 9

x = 261

x = 10/3

x = 4

3x² - 2x - 1 = 0

x = 1 or x = -1/3

x = 13

x = 0

x = 0 or x = 5

1. 3x = log6 216

Using the definition of logarithm, we have:

[tex]6^{3x} = 216[/tex]

[tex]6^{3x} = 6^3[/tex]

3x = 3

x = 1

2. x - 4 = log3 243

Using the definition of logarithm, we have:

[tex]3^{x - 4} = 243[/tex]

[tex]3^{x - 4} = 3^5[/tex]

x - 4 = 5

x = 9

3. log4 (4x - 20) = 5

Using the definition of logarithm, we have:

4⁵ = 4x - 20

1024 = 4x - 20

4x = 1044

x = 261

4. log9 (3 - x) = log9(5x – 15)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3 - x = 5x - 15

20 = 6x

x = 10/3

5. log81 (x + 20) = log81 (6x)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x + 20 = 6x

20 = 5x

x = 4

6. log9 (3x²) = log9 (2x + 1)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

3x² = 2x + 1

3x² - 2x - 1 = 0

7. Using the quadratic formula, we have:

x = (-(-2) ± √((-2)² - 4(3)(-1))) / (2(3))

x = (2 ± √(16)) / 6

x = (2 ± 4) / 6

x = 1 or x = -1/3

8. log4(x - 1) = log4(12)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

x - 1 = 12

x = 13

9. log7(5 - x) = log7 (5)

Using the property of logarithms that states that if log a b = log a c, then b = c, we have:

5 - x = 5

x = 0

10. logx (5x) = 2

Using the definition of logarithm, we have:

x² = 5x

x² - 5x = 0

x(x - 5) = 0

x = 0 or x = 5

Note that x = 0 is not a valid solution, since log 0 is undefined. Therefore, the only solution is x = 5.

Learn more about logarithmic equations.

brainly.com/question/29094068

#SPJ11

Value of mean is, 40.2

Value of median is, 45

Value of mode is, 28

Value of range is, 25

Given that;

Data set is,

⇒ 28, 45, 53, 28, 47

Now, We can arrange into ascending order as;

⇒ 28, 28, 45, 47, 53

Hence, Value of mean is,

⇒ (28 + 28 + 45 + 47 + 53) / 5

⇒ 40.2

And, The value of median is,

⇒ (5 + 1) / 2

⇒ 6/2

⇒ 3rd term

⇒ 45

The value of mode =28

And, The value of range is,

⇒ 53 - 28

⇒ 25

Learn more about the addition visit:

https://brainly.com/question/25421984

#SPJ1

In general, an appropriate null hypothesis is one that states there is no significant difference or relationship between two variables.

Therefore, out of the options given, the appropriate null hypothesis would be "selection was not a significant factor."
An appropriate null hypothesis is "Selection has no effect on the observed outcome. "it means that any differences observed in the data are due to chance, and not due to a specific selection process or factor. The null hypothesis serves as a starting point in statistical analysis, and researchers aim to either accept or reject it based on the evidence collected.

Visit here to learn more about statistical analysis:

brainly.com/question/30591800

#SPJ11

Answer:

The answer is 18,432cm³

Step-by-step explanation:

V=([tex]\frac{4}{3}[/tex])Πr³

V=([tex]\frac{4}{3}[/tex])Π(24)³

V=([tex]\frac{4}{3}[/tex])Π(13824)

V=18,432cm³

The equation of the parabola as [tex](y-6)^2 = 12(x-0) or (y-6)^2 = 12x.[/tex]

Given an axis equation of y=6, focus at (0,6), and p=-3, this is a horizontal parabola with its vertex at (0,6).

Since p<0, it opens to the left.

The standard equation of a horizontal parabola with vertex (h,k) and distance p is [tex](y-k)^2 = -4p(x-h).[/tex]

Plugging in the values (h,k)=(0,6) and p=-3, we get the equation of the parabola as [tex](y-6)^2 = 12(x-0) or (y-6)^2 = 12x.[/tex]

Read more about equations here:

https://brainly.com/question/2972832

#SPJ1

Each person get 1/9 of the pizza.

We have to given that;

Marco and two of his friends are going to share of a pizza.

Here, There are 3 persons.

If Marco and two of his friends are going to share 1 pizza, they will be splitting the pizza into 3 equal parts since there are 3 people. Therefore, each person will get 1/3 of the pizza.

To find out how much each person gets out of the 1/3, we need to divide 1/3 by 3 (the total number of people).

1/3 ÷ 3 = 1/9

Therefore, each person will get 1/9 of the pizza.

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ1

Answer:

a) AAS

b) ASA

c) SAS

d) SSS

The value of area of mat is,

A =  222 in²

Since, We get;

the area of the mat = total area added - the original area of the water color painting.

Here, We have;

length of the mat is,

L = 22 in + 3 in + 3 in because 1 in  is added to each side

L = 28 in

And, width of the mat is:

w = 9 in + 3 in + 3in

w = 15 in

Area of mat is,

= (28 in x 15 in) - ( 22 in x 9 in)

= 420 - 198

= 222 in²

Thus, The value of area of mat is,

A =  222 in²

Learn more about the multiplication visit:

https://brainly.com/question/10873737

#SPJ1

The news agency should report margins of error of 3.81%, 3.62%, and 7.43% for the estimates of support in town A, town B, and the difference in support between the two towns, respectively.

To calculate the margin of error for each estimate, we can use the formula:

Margin of Error = [tex]z* (\sqrt{(p*(1-p)}/n))[/tex]

where z* is the critical value of the standard normal distribution corresponding to the 95% confidence level (1.96), p is the proportion from the sample, and n is the sample size.

For the estimate of 45% support in town A:

Margin of Error = [tex]1.96 \times (\sqrt{(0.45*(1-0.45)}/900))[/tex] = 0.0381 or 3.81%

For the estimate of 35% support in town B:

Margin of Error = [tex]1.96 \times(\sqrt{(0.35*(1-0.35)}/900))[/tex]= 0.0362 or 3.62%

For the estimate of 10-point stronger support in town A than in town B:

We can calculate the margin of error as the sum of the margins of error for the estimates of support in town A and town B:

Margin of Error = 0.0381 + 0.0362 = 0.0743 or 7.43%

Margins refer to the space between the content of a document and the edges of the page. They are the blank areas that separate the text from the paper's edge. Margins are important in the design of documents as they provide an aesthetically pleasing and organized appearance while also increasing the readability of the text.

Margins can be adjusted in most word processing software to fit the needs of the user. Typically, standard margins for a document are one inch on all sides, but they can be adjusted to be narrower or wider depending on the content and purpose of the document. For example, a resume may have smaller margins to fit more information on a single page, while a formal letter may have larger margins to provide a more elegant appearance.

To learn more about Margins visit here:

brainly.com/question/31200081

#SPJ4

Answer:

Step-by-step explanation:

You want an equation and its solution to help you find the number of miles Carter must ride his bicycle each day (m) to total 28.7 miles after 3 more days, given he has already ridden 17 miles this week.

The total number of miles for the week will be 28.7. That will consist of the sum of miles already ridden (17) and the number each day multiplied by the remaining number of days.

The miles ridden each day is defined in the problem statement as "m". The number of remaining days is 3, so the total number of miles ridden on those days will be 3m.

Carter wants the sum to be ...

  17 +3m = 28.7

This is the equation being asked for.

This 2-step equation is solved in the usual way:

  3m = 11.7 . . . . . . . . subtract 17 from both sides

  m = 3.9 . . . . . . . . . divide both sides by 3

Carter would have to ride an average of 3.9 miles each day to reach his goal.

__

Additional comment

Your life experience should tell you how things add up. A total is the sum of its parts. Total miles = (miles already done) + (miles to go), for example.

Multiple things that are the same value can be "added" using multiplication: m + m + m = 3m, for example.

The type of triangle shown in the image is the Obtuse triangle because one angle measures more than 90 degrees.

A triangle is said to be an obtuse triangle if one of its angles measures more than 90 degrees.

In the given diagram, one of the angles measures more than 90 degrees.

So, the given triangle is an obtuse triangle.

Hence, the type of triangle shown in the image is the Obtuse triangle.

To learn more on Triangles click:

https://brainly.com/question/2773823

#SPJ1

The correct answer is D. The graph is a downward parabola, which means it opens downwards and is decreasing. This occurs for all negative values of x, and is also decreasing for values of x close to zero.

A graph is a visual representation of data or information, typically shown using lines, bars, dots, or other symbols to illustrate relationships, trends, and patterns.

A parabola is a U-shaped curve that is symmetric and can be represented by a quadratic equation. It is a type of conic section and appears in many areas of mathematics and physics.

According to the given information:

The correct answer is D. The graph is a downward parabola, which means that it opens downwards and has a maximum point at the vertex. The vertex is located at x = 0, and since the graph is decreasing on both sides of the vertex, it means that it is decreasing when x < 0. As x approaches negative infinity, the graph becomes more and more steep, and as x approaches positive infinity, the graph becomes flatter and flatter. This behavior is typical of a quadratic function with a negative leading coefficient. In this case, the graph represents a situation where the dependent variable decreases as the independent variable increases up to a certain point, after which it starts increasing again.

To know more about graph,parabola visit:

https://brainly.com/question/16180199

#SPJ1

An equation that represents the relationship between x, the number of hours of tutoring and y, the total amount Shelby will earn is: C. y = 11x.

An equation that represents the relationship between x, the number of pounds of almonds and y, the total cost is: B. y = 3.2x.

In Mathematics, the unit rate is sometimes referred to as unit ratio and it can be defined as the quantity of material that is equivalent to a single unit of product or quantity.

In order to determine the unit rate, we would use the following mathematical equation (formula);

Unit rate = Total earnings/number of hours

Unit rate = 27.50/2.5

Unit rate = 11 dollars per hour.

Unit rate = Total cost/number of pounds of almonds

Unit rate = 12.80/4

Unit rate = 3.2 dollars per pounds of almonds.

Read more on unit rate here: brainly.com/question/26059245

#SPJ1

The sum and the differences of the fractions are 25/28 and 1/6

For the first fraction expression, we have

3/4 + 1/7

Express them using a common denominator

So, we have

3/4 = 21/28

1/7 = 4/28

So, we have

3/4 + 1/7 = 21/28 + 4/28

Evaluate the sum

3/4 + 1/7 = 25/28

Next, we have

5/6 - 2/3

Express them using a common denominator

So, we have

5/6 = 5/6

2/3 = 4/6

So, we have

5/6 - 2/3 = 5/6 - 4/6

Evaluate the difference

3/4 + 1/7 = 1/6

Hence, the solutions are 25/28 and 1/6

Read more about fractions at

https://brainly.com/question/78672

#SPJ1

False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

To know more about diagonalizable, visit

https://brainly.com/question/29583376

#SPJ11

The regression equation can be found to be  y = 2x + 3.

First, pick two points from the table :

( 2, 7 ) and ( 4, 11 )

Use these points to find the slope :

Slope = ( y2 - y1 ) / ( x2 - x1 )

= ( 11 - 7 ) / (4 - 2)

= 2

Then use this to find the y - intercept and equation to be:

y - y1 = m ( x - x1 )

y - 7 = 2 ( x - 2 )

y - 7 = 2x - 4

y = 2x + 3

Find out more on regression equations at https://brainly.com/question/25987747

#SPJ1

The volume of the composite shape is 249 cm³.

A composite shape is a 2D shape that is made from a combination of other basic 2D shapes and polygons.

To calculate the volume of the composite object, we use the formula below

Formula:

Where:

Substitute these values into equation 1

Learn more about composite shapes here: https://brainly.com/question/8370446

#SPJ1

Answer: is 2.5

Step-by-step explanation:

I looked it up

Statements that are true about plant (height) is a) The plant has grown a total of 4.77 cm in two weeks.

Statement a is true because the plant grew 2.8 cm in the first week and 1.97 cm in the second week, for a total of 4.77 cm in two weeks.

Statement b is false because the plant grew at a slower rate in the second week than the first week.

Statements c, d, and e cannot be determined from the given information as they are unrelated to the growth rate of the plant.

a) The plant has grown a total of 4.77 cm in two weeks (True)

b) The plant grew at a faster rate in the first week than the second week (False)

c) The plant will be 100 cm tall after 50 weeks (Cannot be determined from the given information)

d) The plant will require at least 5 cm of water per week to continue growing (Cannot be determined from the given information)

e) The plant will die if it doesn't receive enough sunlight each day (Cannot be determined from the given information)

Correct Question :

Kevin bought a new plant. The plant grows 2. 8 cm in the first week and 1. 97 CM the second week. Select all of the statements that are true about the plant.

a) The plant has grown a total of 4.77 cm in two weeks

b) The plant grew at a faster rate in the first week than the second week

c) The plant will be 100 cm tall after 50 weeks

d) The plant will require at least 5 cm of water per week to continue growing

e) The plant will die if it doesn't receive enough sunlight each day

To learn more about height here:

https://brainly.com/question/10726356

#SPJ1

Answer:

Step-by-step explanation:

you hav to times it

The modeling process begins with the framing of a conceptual model that shows the relationships between the various parts of the problem being modeled. This model helps to identify the mathematical correlations between variables and provides a foundation for developing a more detailed and accurate mathematical model.

The modeling process begins with the framing of a mathematical model that shows the relationships between the various parts of the problem being modeled. This model is often based on data analysis and utilizes statistical techniques to establish correlations between the different variables in the problem. Ultimately, the goal of the modeling process is to create a predictive tool that can be used to make informed decisions about the problem at hand.

Process models involve graphically representing processes or functions that capture, manage, store, and distribute information between the system and its environment and physical objects. One type of process model is the flowchart (DFD). A data flow is a diagram that shows the movement of data between external sources and processes and the data stored in the system. While several different tools have been developed for modeling, we focus only on data streams as they are effective tools for modeling. While not all organizations use all analytical methods, including these methods such as data flow, they have a significant impact on the development process.

Learn more about correlations:

brainly.com/question/28898177

#SPJ11

Answer:

Step-by-step explanation:

The value of 'x' in the given proportion [tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex] is x=9 ft . The values in the dropdown menu are:

14 x 1.5 = 21

6 x 1.5 =  9

What is proportion?

Ratio and fractions are the basis of proportion. When two ratios are equivalent, it is stated by a fraction in the form of a/b, ratio a:b, and then a proportion. Any two integers may be used here as a and b. An analysis of two numbers is a proportion.  Two sets of provided numbers are said to be directly proportional to one another if they change in two different ways, either rising or decreasing.

Given the dimensions of smaller triangle:

6 ft

14 ft

16 ft

Given the dimensions of smaller triangle:

x ft

21 ft

24 ft

Given Proportion or ratio of sides,

[tex]\frac{14}{6}[/tex] = [tex]\frac{21}{x}[/tex]

14 . x = 21 . 6

      x = [tex]\frac{21 . 6}{14}[/tex]

      x = [tex]\frac{126}{14}[/tex]

      x = 9

The missing dimensions of triangle = 9 ft

Now for the answers in dropdown menu, let's evaluate the ratios of corresponding sides:

[tex]\frac{9}{6}[/tex] = [tex]\frac{21}{14}[/tex]  = [tex]\frac{24}{16}[/tex] = 1.5

a)14 x 1.5 = 21

b)6 x 1.5 = 9

To know more about proportion, visit:

https://brainly.com/question/29774220

#SPJ1

Refer to the attachment for the options.

The surface area of a pyramid is similar to finding the surface area of a cone as both compose of Area of base and LSA or CSA.

To derive the Surface Area of Pyramid

Total Surface Area (TSA of Pyramid)

= LSA of pyramid + Area of the base.

= (½)Pl + B Square units

and, to derive the Surface area of Cone

The total surface area is

= CSA of cone + Area of Base

= πrl + πr²

= πr(l +r)

So, both SA have Area of base and LSA or CSA

Learn more about Surface Area here:

https://brainly.com/question/29298005

#SPJ1

The range of all possible values for f(1) for a strictly convex function passing through (-2,5) and (2,9) is (5,8).

Since f(x) is strictly convex, we can use the property that any point on the graph of f(x) lies below the line segment connecting the endpoints of any subinterval. In particular, for any x-value between -2 and 2, the y-value of f(x) must be below the line segment connecting (-2,5) and (2,9).

Let's first find the equation of the line segment connecting (-2,5) and (2,9). We can use the point-slope form of a line

slope = (9 - 5) / (2 - (-2)) = 4/4 = 1

y - 5 = 1(x - (-2))

y - 5 = x + 2

y = x + 7

Now we know that for any x-value between -2 and 2, the y-value of f(x) must be below the line y = x + 7. We can use this to bound the possible range of values for f(1)

-2 < 1 < 2, so f(1) must be below the line connecting (-2,5) and (2,9) when x=1.

Plugging x=1 into the equation y = x + 7, we get y = 1 + 7 = 8. Therefore, f(1) must be less than 8.

We can also use the property of strict convexity to find the maximum possible value of f(1). Since f(x) is strictly convex, the line segment connecting (-2,5) and (2,9) must lie above the graph of f(x) for any x-value outside the interval [-2,2]. This means that the graph of f(x) must be below the line connecting (-2,5) and (2,9) for x < 1 and x > 1. In particular, this means that the slope of the tangent line to the graph of f(x) at x = 1 must be less than 1, since the tangent line must lie below the line y = x + 7.

Let's find the equation of the tangent line to the graph of f(x) at x = 1. We can use the point-slope form of a line and the fact that the slope of the tangent line is equal to the derivative of f(x) at x = 1

slope = f'(1)

(f(1) - 5)/(1 - (-2)) = f'(1)

(f(1) - 5)/3 = f'(1)

Now we need to find the maximum possible value of f(1) subject to the condition that f'(1) < 1. We can use the fact that f(x) passes through (-2,5) and (2,9) to find the equation of the secant line connecting these two points

slope = (9 - 5)/(2 - (-2)) = 4/4 = 1

y - 5 = 1(x - (-2))

y = x + 7

Since the slope of the secant line is 1, the slope of any tangent line to the graph of f(x) must be less than 1. This means that the maximum possible value of f'(1) is 1. Therefore,

(f(1) - 5)/3 < 1

f(1) - 5 < 3

f(1) < 8

Combining this with the earlier bound, we get

5 < f(1) < 8

Therefore, the range of all possible values for f(1) is (5,8).

Learn more about point-slope form  here

brainly.com/question/29503162

#SPJ4

The given question is incomplete, the complete question is:

suppose f(x) is a function that has this property: for all real numbers a and b such that a<b , the portion of the graph of y = f(x) between x= a and x = b lies below the line segment whose endpoints are (a,f(a)) and (b,f(b)) . (a function with this property is called strictly convex.) given that f(x) passes through (-2,5) and (2,9) , what is the range of all possible values for f(1)  ?