Which statements are true about FGH?

The first table shows proportionality, The second does not have this

In the first there is a proportional relationship between x and y on the table.

That is y = 6 * x

when

48 = 6 * 8

60 = 6 * 10

72 = 6 * 12

On the other table the values are not proportional

12 = 6 * 2

28 = 7 * 4

64 = 8 * 8

The difference between the tables is that the first showed us a constant of proportionality 6 ,while the other does not have a constant of proportionality.

Read more on proportional relationship here:https://brainly.com/question/23318486

#SPJ1

Answer:

I say 3 sandwiches for 15.

Step-by-step explanation:

to find the best price divided the numbers

15 divided by 3= 5

5 is the price per sandwich for this

21 divided by 4= 5.25

5.25 per sandwich

the 3 for 15 is a better deal. You save money.

A circle graph (also known as a pie chart) would be the best graphical representation for the teacher's data on student preferences.

what is  circle graph ?

A circle graph, also known as a pie chart, is a circular chart divided into sectors, each representing  proportion of the whole. The size of each sector corresponds to the proportion of the data it represents.

In the given question,

A circle graph (also known as a pie chart) would be the best graphical representation for the teacher's data on student preferences.

A circle graph is a circular chart divided into sectors, each representing a proportion of the whole. In this case, the whole would represent the total number of students surveyed (100), and each sector would represent the proportion of students who preferred a particular subject.

This type of graph is useful when you want to show how a whole is divided into its component parts, and it can help to easily identify the most popular subject preferred by the students.

Stem-and-leaf plots and histograms are useful for showing the distribution of numerical data, while box plots are useful for comparing groups of numerical data. However, since the teacher is interested in the subject preferences of students, a circle graph would be the most appropriate choice.

To know more about pie chart , visit:

https://brainly.com/question/9979761

#SPJ1

Answer:

x=-8, y=-1

Step-by-step explanation:

i aint in middle school no more so im not sure what operation ur doing, but this is my best guess.

\(x^2+4x-7=x^2+4x+4-11=(x+2)^2-11\)

To get x, we will use the Pythagoras theorem

With the hypotenuse equal to 12m

Answer:

1 year.

Step-by-step explanation:
First set up the equation for each tree

Tree A = 6 + 18x

Tree B = 3 + 21x

Since we want to find how long it would take the tree to be same height just set the equation equal to each other.

6+18x = 3+21x

Now you can just solve it by isolating x.

First, subtract 18x from both sides so that we can have just one x and coefficient.

6 = 3 + 3x

Then, subtract 3 from both sides to isolate the x.

3 = 3x

Next, divide both sides by 3.

1 = x

X means the years and so that means it would take just 1 year for the trees to be same height.

Answer:

171.06 cm²

Step-by-step explanation:

First let us find the area of the circle

Area = π r²

        =  π × 8 × 8

        =  π × 64

        = 201.06 cm²

Now let us find the area of parallelogram

Area = Base × Height

        = 6 cm × 5 cm

        = 30 cm²

And now we have to find the area of the shape when the parallelogram is cut from it

For that, you have to subtract the area of the parallelogram from the area of the circle.

Let us solve now.

Area of the shape = Area of the circle - Area of the parallelogram

                               =  201.06 cm² - 30 cm²

                               =  171.06 cm²

Hope this helps you :-)

Let me know if you have any other questions :-)

Have a nice day !!

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

20

Step-by-step explanation:

20

The demand function for good X is Qx = m - 3Px + 2Py, where Qx is the quantity demanded of X, m is income, Px is the price of X, and Py is the price of a related good Y. The equation shows that the demand for X is inversely related to its price and directly related to the price of Y. Income, price of X, and price of Y collectively affect the overall demand for X.


The demand function for good X is given by Qx = m - 3Px + 2Py, where Qx represents the quantity demanded of good X, m is the income, Px is the price of good X, and Py is the price of a related good Y. In this equation, the income and prices are assumed to be positive.

To determine the demand for good X, we can analyze the equation. The coefficient -3 in front of Px indicates that the demand for good X is inversely related to its price. As the price of X increases, the quantity demanded of X decreases, assuming other factors remain constant. On the other hand, the coefficient 2 in front of Py indicates that the demand for good X is directly related to the price of the related good Y. If the price of Y increases, the quantity demanded of X also increases, assuming other factors remain constant.

Furthermore, the term (m - 3Px + 2Py) represents the overall effect of income, price of X, and price of Y on the quantity demanded of X. If income (m) increases, the quantity demanded of X increases. If the price of X (Px) increases, the quantity demanded of X decreases. If the price of Y (Py) increases, the quantity demanded of X increases.

To know more about the factors affecting the demand for good X, refer here:

https://brainly.com/question/32566433#

#SPJ11

Answer:

true.

A chord that passes through the center of a circle is called a diameter and is the longest chord.

Step-by-step explanation:

A diameter satisfies the definition of a chord, however, a chord is not necessarily a diameter. This is because every diameter passes through the center of a circle, but some chords do not pass through the center. Thus, it can be stated, every diameter is a chord, but not every chord is a diameter.

i hope this helps you.      :)

The probability of obtaining a sample mean between 4.1 and 4.11 in a random sample of size 511 is 0.

To calculate the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in a discrete uniform population with x = 2.4, we can use the properties of the sample mean and the given population.

In a discrete uniform population, all values are equally likely. Since the mean of the population is x = 2.4, it implies that each value in the population is 2.4.

The sample mean is calculated by summing all selected values and dividing by the sample size. In this case, the sample size is 511.

To find the probability, we need to calculate the cumulative distribution function (CDF) for the sample mean falling between 4.1 and 4.11.

Let's denote X as the value of each individual in the population. Since X is uniformly distributed, P(X = 2.4) = 1.

The sample mean, denoted as M, is given by M = (X1 + X2 + ... + X511) / 511.

To find the probability P(4.1 < M < 4.11), we need to calculate P(M < 4.11) - P(M < 4.1).

P(M < 4.11) = P((X1 + X2 + ... + X511) / 511 < 4.11)
           = P(X1 + X2 + ... + X511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(X1 + X2 + ... + X511 < 4.1 * 511)

Since each value of X is 2.4, we can rewrite the probabilities as:

P(M < 4.11) = P((2.4 + 2.4 + ... + 2.4) < 4.11 * 511)
           = P(2.4 * 511 < 4.11 * 511)

Similarly,
P(M < 4.1) = P(2.4 * 511 < 4.1 * 511)

Now, we can calculate the probabilities:

P(M < 4.11) = P(1224.4 < 2099.71) = 1 (since 1224.4 < 2099.71)
P(M < 4.1) = P(1224.4 < 2104.1) = 1 (since 1224.4 < 2104.1)

Finally, we can calculate the probability of the sample mean falling between 4.1 and 4.11:

P(4.1 < M < 4.11) = P(M < 4.11) - P(M < 4.1)
                 = 1 - 1
                 = 0

Therefore, the probability that a random sample of size 511, selected with replacement, will yield a sample mean between 4.1 and 4.11 in the given discrete uniform population is 0.

Learn more about Probability click here :brainly.com/question/30034780

#SPJ11

Answer:

5(x+1)

Step-by-step explanation:

So factor is to make it simplified like x(y+c) {I made up random variable for an example but almost all factored problems look like this}

So first find the Greatest Common Factor or GCF for short

The GCF between 5x and 5 is 5

So you divide the whole thing by 5

5x+5/5

you’d get x+1

Now for the 5 just put it around X+1 but with parenthesis

5(x+1)

The solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

What is system of linear equations?

The set of two or more linear equations containing the same variables is known as a system of linear equations in mathematics. In this case, linear equations are first-order equations, where the maximum power of the variable is 1. One, two, or three variables may be present in a linear equation.

Given that;

Y - x = 6

Y + x = -10

Let's equalize the two equations as they are both equal to y;

x + 6 = - x - 10

By further calculation

x + x = - 10 - 6

2x = - 16

Divide both sides by 2

x = -8

The value of x should be replaced in either equation;

y - x = 6

y - (-8) = 6

So we get

y + 8 = 6

y = 6 - 8

y = - 2

Therefore, the solution to this system of linear equations y - x = 6, y + x = - 10 is (-8, -2).

Learn more about system of linear equations  click here:

https://brainly.com/question/25858757

#SPJ4

Using Algebraic expression, Twenty-two decreased by a number say n is phrase form of Algebraic expression (22 - n) . So, The correct option is option (D).

Algebraic expression :

An algebraic expression is a mathematical expression containing variables, constants, coefficients, and algebraic operations. For example, 5x - 5y + 5 is an algebraic expression.

There are several kinds of algebraic expressions. A monomial is a unary algebraic expression whose exponent and variables are non-negative integers.

We have given an algebraic expression (22 - n)

where n is an integer, 22 is a constant term, and subtraction is an algebraic operator.

So, the correct phrase for the algebraic expression in ( 22-n ) is 22 minus the number.

To learn more about Algebraic expression, refer:

https://brainly.com/question/4344214

#SPJ4

Complete question:

Which phrase correctly represents the algebraic expression for 22-n?

A.) A number decreased by twenty-two

B.) The total of twenty two and a number

C.) The difference of two and a number

D.)Twenty-two decreased by a number

Answer:

826.6 cubic centimetres

Step-by-step explanation:

r = Radius of base

  = \(\frac{Diameter}{2}\)
  = \(\frac{9}{2}\)cm

  = 4.5 cm

h = Perpendicular height of cylinder

Volume of cylinder = Base Area × h

                                = \(\pi r^{2} h\)

                                = \((3.14)(4.5^{2})(13)\)

                                = 826.6 cubic centimetres

∴Option A

AB is not perpendicular to CD

Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.

Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.

Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)

(-1,3,-1) for AB

(-1,-18,12) for CD

For the lines AB and CD to be perpendicular

a 1a2+b1b2+c1c2=0

-1(-1)+3(-18)+(-1)(12)

=1-54−12=-65not equal to 0

∴ AB not perpendicular to CD

In order to learn more about perpendicular lines visit link:

https://brainly.com/question/29582941

#SPJ4

Answer:

I believe the answer would be 14

Step-by-step explanation:

If you graph it, obviously it is a triangle, and so one of the sides have 6 units, one side has 5, and then the last side has halves so if you count each of those as half you would get 3, I think.

Value of x and y are (0,3) in linear equation.

What in mathematics is a linear equation?

An algebraic equation B. y=mx+b (where m is the slope and b is the y-intercept) containing simple constants and first-order (linear) components, such as the following, is called a linear equation. The above is sometimes called a "linear equation in two variables" where x and y are variables.

                              An equation with only one variable is called a univariate linear equation. It contains the expression Ax + B = 0. where A and B are any two real numbers and x is an ambiguous variable with only one possible value.  

y = 2x + 3

y = -1/2x+3

2x + 3 = -1/2x+3

  2x + x/2 = 3 - 3

   4x + x/2 = 0

       4x + x = 0

             5x = 0

           x = 0

y = 2x + 3

y = 2 * 0 + 3

   = 0 + 3

   = 3

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

Answer:

-4

Step-by-step explanation:

They would be the same distance considering 0 is your midpoint.

Answer:

AB = 37

Step-by-step explanation:

as opposite sides in a parallelogram are equal we know that 6x-10 = 2x+18

therefore when we simplify

6x-10 = 2x+18          add 10 to both sides

6x = 2x+28              take 2x from both sides

4x = 28                    divide both sides by 4

x = 7

therefore as x = 7 you can substitute x in

6x - 10

6(7) - 10

47 - 10

37

The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)

To solve the given higher-order linear ODE, we need to find a particular solution for the equation:
y'' - 4y' + 4y = e^(2x)

First, we find the complementary function (solution of the homogeneous equation) by solving the characteristic equation:

r^2 - 4r + 4 = 0

(r - 2)^2 = 0

The roots are r1 = r2 = 2. Therefore, the complementary function is:
y_c(x) = C1 * e^(2x) + C2 * x * e^(2x)

Next, we find a particular solution y_p(x) by using the method of undetermined coefficients. Since the right-hand side of the equation is e^(2x), we can assume a particular solution of the form:

y_p(x) = A * x^2 * e^(2x)

Taking the first and second derivatives of y_p(x):

y_p'(x) = A * (2x * e^(2x) + 4x^2 * e^(2x))

y_p''(x) = A * (2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x))

Now substitute y_p, y_p', and y_p'' back into the given ODE:

A*(2 * e^(2x) + 8x * e^(2x) + 8x^2 * e^(2x)) - 4A*(2x * e^(2x) + 4x^2 * e^(2x)) + 4A*x^2 * e^(2x) = e^(2x)

Simplify and cancel out the terms:

2A * e^(2x) = e^(2x)

A = 1/2

Now we have the particular solution:
y_p(x) = (1/2) * x^2 * e^(2x)

The general solution for the given higher-order linear ODE is:
y(x) = y_c(x) + y_p(x) = C1 * e^(2x) + C2 * x * e^(2x) + (1/2) * x^2 * e^(2x)

To learn more about complementary function visit:

brainly.com/question/29046905

#SPJ11

The graph of the line 7x – 4y = 32 passes through (-4, -15), (0, -8) and (4, -1).

Standard equation of a line is of the form Ax + By = C, where A, B and C are integers and x and y are variables.

Given line is in the standard form 7x – 4y = 32.

In order to know the points that the line is passing through, substitute random values for x and find the value of y.

Rearrange the equation in slope intercept form.

7x – 4y = 32

4y = 7x - 32

y = 7/4 x - 8

Substitute values for x.

x = 0, then y = -8

x = -4, then y = -15

x = 4, then y = -1

..........

Hence the line passes through (-4, -15), (0, -8) and (4, -1).

Learn more about Lines here :

https://brainly.com/question/2418960

#SPJ1

Answer:

98 + (-24)

Step-by-step explanation:

The volume flow rate of the water passing through the pipe increases by a factor of 6.

Assuming that the initial cross sectional area of the pipe is A m² and the initial velocity of the water is V m/s, the water flow rate is:

= initial flow rate = area × velocity = AV m³/s

As the water speed doubles (2V m/s) and the pipe cross-sectional area triples (3A m²), the volume flow rate becomes:

Final flow rate = 2V × 3A = 6AV m³/s

As a result, the volume flow rate of the water moving through it multiplies by a ratio of six.

The basic equation for cases like these is

Q=AV,

where Q is the volume flow rate, A is the cross-sectional area occupied by the flowing material, and V is the average velocity of flow.

V is considered an average since not every component of a flowing fluid flows at the same rate. If you monitor the waters of a river moving slowly downstream at a consistent rate of gallons per second, you will see that the surface has slower currents here and faster currents there.

To learn more about volume visit:

https://brainly.com/question/13559135

#SPJ4