Question
The average of 3 numbers is 15, and the average of 6 other numbers is 12. What is the
average of all 9 numbers?
+
O 11
O 12
O 13
O 15

Answer:

51720

Step-by-step explanation:

Okey, in this case we need to find first all the play of circumference of the circle:

2πr

2*3.5*22/7

Total: 22 inches

Considering that the circle is divided into 5 equal parts, we will divide thw total by five:

22/5= 4.4 inches

The distance between all parts of the circle is 4.4 inches, so the distance between a and b is 4.4 inches.

For the statement "If a polygon lacks right angles, then it is a parallelogram.", the counter example is -

Option A : a right triangle

What is a parallelogram?

A quadrilateral with two sets of parallel sides is referred to as a parallelogram. In a parallelogram, the opposing sides are of equal length, and the opposing angles are of equal size. Additionally, the interior angles that are additional to the transversal on the same side.

A counterexample for a conditional statement is an example that satisfies the hypothesis (the first part of the statement) but does not satisfy the conclusion (the second part of the statement).

In this case, the statement is "If a polygon lacks right angles, then it is a parallelogram."

A right triangle is a polygon that lacks right angles, but it is not a parallelogram.

Therefore, a right triangle is a counterexample for this statement.

A square, a regular hexagon, and a rectangle all have right angles, so they are not counterexamples for this statement.

Therefore, the triangle is the counterexample.

To learn more about parallelogram from the given link

https://brainly.com/question/3050890

#SPJ1

Answer:

A

Step-by-step explanation:

the answer is A because you can tell the line has a negative slope since its going from left to right rather than right to left and then you do rise/run so the rise=2 and the run=3 so the answer for slope would be -2/3

Answer:

-2/3

Step-by-step explanation:

First you need to find two exact points the use your formula. I used (0,1) and (-3,3).

y2-y1 / x2-x1

Or just use rise over run and count up 2 and across to the left 3 and also realize it's a negative slope going down from the left so your answer will be negative.

I hope I helped you. You can comment if you need anymore help.

Answer:

x = 5

Step-by-step explanation:

assuming you mean the slope of the line id undefined and passes through (5, 0 )

A line with an undefined slope is a vertical line parallel to the y- axis with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (5, 0 ) with x- coordinate 5 , then

x = 5 ← equation of line

The value of x is -1/2 or 3/2

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. In every equation in math, we have, L.H.S = R.H.S (left hand side = right hand side). Equations can be solved to find the value of an unknown variable representing an unknown quantity. If there is no 'equal to' symbol in the statement, it means it is not an equation. It will be considered as an expression.

Given:

x² − x − 3/4 = 0

4x² - 4x -3=0

4x² -6 x + 2x -3 =0

2x( 2x -3 ) +1 ( 2x -3)= 0

(2x +1) (2x-3)=0

x= -1/2, 3/2

x= -0.5, 1.5

Learn more about equation here:

https://brainly.com/question/10413253

#SPJ1

Answer:

The answer is this:

1/3*12=4/1=4

The expression can be written as 1/3 × 12 and its value is 4.

The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.

The given fraction is 1/3.

And, the number is 12.

Now, the expression to find the 1/3 of the given number can be written using the multiplication operation as,

⇒ 1/3 × 12

Its value can be evaluated as,

⇒ 1/3 × 12 = 4

Hence, the required expression is 1/3 × 12 and its value is 4.

To know more about arithmetic operation click on,

https://brainly.com/question/25834626

#SPJ2

Answer:

32 percent

Step-by-step explanation:

8,000×400÷100

Answer:

Step-by-step explanation:

4/mx

Answer:

Step-by-step explanation:

Its 4.51

The values of f(x) for the given x - values rounded to 4 decimal places are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013 respectively

Given the function :

Substitute the given value of x to obtain the corresponding f(x) values :

x = -0.6

f(x) = (tanπ(-0.6))/7(-0.6) = 0.0078358

x = -0.51

f(x) = (tanπ(-0.51))/7(-0.51) = 0.0078350

x = -0.501

f(x) = (tanπ(-0.501))/7(-0.501) = 0.001967

x = -0.5

f(x) = (tanπ(-0.5))/7(-0.5) = 0.001959

x = -0.4999

f(x) = (tanπ(-0.4999))/7(-0.4999) = 0.001958

x = 0.499

f(x) = (tanπ(-0.499))/7(-0.499) = 0.001951

x = -0.49

f(x) = (tanπ(-0.49))/7(-0.49) = 0.00188

x = -0.4

f(x) = (tanπ(-0.4))/7(-0.4) = 0.00125

Therefore, values which complete the table are 0.0078, 0.0078, 0.0020, 0.0020, 0.0019 and 0.0013

Learn more on functions : https://brainly.com/question/12634120

#SPJ1

The \(y\) and \(x\) axes in the above graph are compared to how much money Jon and Steve have, respectively. Thus, \(y=6+x\) is the pictorial representation.

A graph is referred to as a mathematical construct that connects a collection of points to express a certain function. A pairwise link between the items is established using it. The lines that link the graph's vertices (also known as nodes) are its vertices (lines).

A common technique for graphically showing data linkages is the graph. Although takes up less space, a graph accomplishes the goal of conveying which is either too many more and complicated to be completely stated in the words.

To know more about graph visit:

https://brainly.com/question/17267403

#SPJ1

Answer:

All the adults

Step-by-step explanation:

The question says that the researcher wants to estimate all adults that own a cell phone.

So the population of interest is all the adults.

The statistic is the proportion p^ of the random sample of 2000 adults;

P^ = 1650/2000

= 0.825

The parameter of interest in the question is p, which is the proportion of those adults that own a cell phone.

Answer:

The average rate of change is 22

Step-by-step explanation:

Given

\(f(x) = x^4 - 5x\)

Required

Average rate of change over [0,3]

This is calculated as:

\(Rate = \frac{f(b) - f(a)}{b - a}\)

So, we have:

\(Rate = \frac{f(3) - f(0)}{3 - 0}\)

\(Rate = \frac{f(3) - f(0)}{3}\)

Calculate f(3) and f(0)

\(f(x) = x^4 - 5x\)

\(f(3) = 3^4 - 5 * 3 =66\)

\(f(0) = 0^4 - 5 * 0 = 0\)

So, we have:

\(Rate = \frac{f(3) - f(0)}{3}\)

\(Rate = \frac{66-0}{3}\)

\(Rate = \frac{66}{3}\)

\(Rate = 22\)

Answer:  There are three possible types of solutions for a system of nonlinear equations involving a parabola and a line.

Step-by-step explanation:   hope this helps

Answer:

The Answer is Literally C - 15.

decreased by means subtract 15

and a number means the Variable: C

so C-15

Step-by-step explanation:

The maximum revenue possible in this situation is 15625/A dollars, where A is the coefficient in the quadratic equation.

To find the maximum revenue possible in this situation, we can use the concept of vertex or the vertex form of a quadratic equation.

The revenue equation is given by R = -Ax^2 + 250x, where A is a constant coefficient.

The maximum revenue occurs at the vertex of the parabolic curve represented by the equation. The x-coordinate of the vertex can be found using the formula x = -b / (2a), where a and b are the coefficients of the quadratic equation.

In this case, a = -A and b = 250. Plugging in these values, we get:

x = -250 / (2 * (-A))

= 125 / A

To find the maximum revenue, we substitute this value of x into the revenue equation:

R = -A * (125 / A)^2 + 250 * (125 / A)

= -A * (15625 / A^2) + (31250 / A)

= -15625 / A + 31250 / A

= 15625 / A

The maximum revenue is given by 15625 / A. The value of A is not specified in the question, so we cannot determine the exact maximum revenue without knowing the value of A. However, we can say that the maximum revenue increases as A decreases.

Learn more about quadratic equation here:

https://brainly.com/question/1214333

#SPJ8

\( \large \bf \implies{} |10.5 - ( - 6.1)| \)

The total temperature change

= high temperature - low temperature

= |10.5 - (-6.1)|

{By subtraction.}

When the former image is rotated, the dots will be located at section 2 and 7.

When an image is rotated, the constituents within it also changes its position as the object is moves from a point to another about a pivot junction.

From the given image above, after the rotation of the initial image, the dot should be located at number 2 and 7 of the new image.

Learn more about rotation here:

https://brainly.com/question/30337265

#SPJ1

Answer:-3

-3

Step-by-step explanation:

Answer:

no

Step-by-step explanation:

20 (15) + 25 (10) = 300 + 250 = 750

750 is less than 800, therefore she does not meet her goal.

Answer:

1. f(12), 2. F(m)=2500, 3. F(v)>_3000, 4. 0.9f(30)

Step-by-step explanation:

A data set includes the list price and selling price for each of 180 randomly selected homes . The samples are dependent because there is a natural pairing between the two samples (list price and selling price for each home). So, the correct option is C).

In statistics, the concepts of independent and dependent samples are important to understand. An independent sample is one in which the observations in one group are not related to the observations in another group. In contrast, dependent samples are those in which the observations in one group are related or connected to the observations in another group.

The example given in the question is of a data set that includes the list price and selling price for each of 180 randomly selected homes. In this case, the samples are dependent because there is a natural pairing between the two samples. The selling price of a home is related to its list price, and the two variables cannot be considered independent.

Understanding the nature of the samples is crucial in selecting appropriate statistical tests and making accurate conclusions based on the data.

To know more about independent and dependent samples:

https://brainly.com/question/29610907

#SPJ4

Answer:

J' – (-1,-4)

K' – (-5,-5)

L' – (-7,-2)

M' – (-2,-2)

Step-by-step explanation:

Rule: 180º → (x,y) ⇒ (-x,-y)

Hope this helps!! :)

Answer:

Below

Step-by-step explanation:

Find unit rate (since it starts at 0,0)

at 45 seconds  it is 900 bottles

             900 bottles / 45 seconds = 20 bottle / sec

20 bottles / sec * 80 sec = 1600 bottles

We can infer that the function y = 3 log2x - 5 has the following end behaviour:

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (also referred to as the domain) and their outputs (sometimes referred to as the codomain), where each input has exactly one output and the output can be linked to its input.

from the question:

We may look at what happens to the function as x gets closer to positive and negative infinity to figure out the final behavior of the function y = 3 log2x - 5.

The formula 3 log2x also approaches infinity as x moves closer to positive infinity, and log2x moves closer to infinity as well. As a result, y becomes closer to infinity as x gets closer to positive infinity. The following can be written:

lim x→∞ 3 log2x - 5 = ∞

Similar to how log2x approaches negative infinity, the complete phrase 3 log2x also does as x approaches 0 from the right. Hence, when x moves towards 0 from the right, y moves towards negative infinity. The following can be written:

lim x→0+ 3 log2x - 5 = -∞

We can then infer that the final behavior of the function y = 3 log2x - 5 is as follows:

to know more about the function visit:

https://brainly.com/question/12431044

#SPJ1

Answer:

Step-by-step explanation:

55/4 + x = 29/4

x = 29/4 - 55/4

x = -26/4 = -4 2/4 = -6 1/2

answer is C

The coordinates of the intersection with the x-axis are

(8,0), and the coordinates of the point where x = -3, (-3 0).

What are the coordinates of the axis?

A Cartesian coordinate system in a plane is a system of coordinates that uniquely identifies each point by a pair of numerical coordinates. These numerical coordinates are the signed distances from two fixed perpendicular oriented lines to the point, measured in the same unit of length.

We have,

The graph shows the sketch of y = f(x).

The graph crosses the y-axis at the point (0,-2), and the x-axis at the point (8,0).

The coordinates of the intersection with the x-axis are:

x = 8

y = 0

The coordinates of the point where x = -3,

y = 0.

Hence, the coordinates of the intersection with the x-axis are

(8,0), and the coordinates of the point where x = -3, (-3 0).

To learn more about the coordinates of the axis visit,

brainly.com/question/5017530

#SPJ4

The given system of equations has a solution (16/11, 24/11), so they are consistent and independent.

The given system of equations are 4x+y=8 and x+3y=8.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here, 4x+y=8 ----------(I) and x+3y=8 ----------(II)

Multiply equation (I) by 3, we get

12x+3y=24 ----------(III)

Now, subtract equation (II) from (III), we get

12x+3y-(x+3y)=24-8

11x=16

⇒ x=16/11

Substitute x=16/11 in equation (II), we get

16/11 +3y=8

⇒ 3y=8- 16/11

⇒ 3y=72/11

⇒ y=24/11

If equation as one solution, then they are consistent and independent.

Therefore, the given system of equations has a solution (16/11, 24/11), so they are consistent and independent.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ1