Compare mean, median, mode, and standard deviation.

Answer:

8x^2-1

Step-by-step explanation:

8x^2-x+4+x-5=8x^2-x+x+4-5=8x^2+4-5=8x^2-1

the answer is 20,000

Answer:

x=6

Step-by-step explanation:

We know that <AWV is 90, so we can set up an equation. This equation is 54+3x+18=90, we know this is true because the two smaller angles are complementary. Then to find x simply solve the equation.

First, add like terms

3x+72=90

Then, subtract 72 from both sides

3x=18

Finally, divide both sides by 3

x=6

In total, the number of greetings will be 1159.

Mathematical symbols used to represent quantities or values include numbers. They are employed in the measurement, comparison, addition, subtraction, multiplication, and division processes in mathematics. According to their qualities and properties, numbers can be categorized into a variety of groups, including natural numbers, whole numbers, integers, rational numbers, irrational numbers, real numbers, and complex numbers. There are specific properties and guidelines for mathematical operations for each group of numbers. Mathematics depends on numbers, which are also utilized in many other disciplines, including science, engineering, economics, and statistics.

The number of greetings exchanged between the host and the other mothers and daughters must be counted first. Since there is only one host, the number of mother-daughter pairs is 20 - 1 = 19. There are thus a total of 38 greetings, 19 between the host and the other moms, and 19 between the host and the other daughters.

The number of pleasantries exchanged between the guest mums and everyone else must next be tallied. The host, the other mothers, and the daughters must all be greeted, making a total of 20 - 1 = 19 guest mothers. Thus, each host mother must extend 1 + 19 + 20 = 40 greetings. There will be 760 greetings exchanged between the guest mothers and everyone, or 19 x 40.

The number of pleasantries exchanged between the mothers and the invited girls must also be tallied. Moreover, there are 20 guest girls, so 19 of them must welcome the mothers. As a result, there will be 361 pleasantries exchanged between the mothers and the guest daughters.

In total, the number of greetings will be 38 + 760 + 361 = 1159.

To know more about numbers visit:

https://brainly.com/question/26856218

#SPJ1

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

n + 9 = 14

=> n + 9 - 9 = 14 - 9. [For isolating the variable we subtract 9 from both sides]

=> n = 5 (Ans) [ Variable isolated]

Answer: the first thing is your answer :)

thx for the points

Step-by-step explanation:

g

(

x

)

=

x

2

−

3

The parent function is the simplest form of the type of function given.

f

(

x

)

=

x

2

The transformation being described is from

f

(

x

)

=

x

2

to

g

(

x

)

=

x

2

−

3

.

f

(

x

)

=

x

2

→

g

(

x

)

=

x

2

−

3

The horizontal shift depends on the value of

h

. The horizontal shift is described as:

g

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left

h

units.

g

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right

h

units.

In this case,

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of

k

. The vertical shift is described as:

g

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up

k

units.

g

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down

k

units.

Vertical Shift: Down

3

Units

The graph is reflected about the x-axis when

g

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when

g

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of

a

.

When

a

is greater than

1

: Vertically stretched

When

a

is between

0

and

1

: Vertically compressed

Vertical Compression or Stretch: None

Compare and list the transformations.

Parent Function:

f

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: Down

3

Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

image of graph

Answer:

x = 6

Step-by-step explanation:

cross multiplication and a wild guess

The solution to the equation below rounded to two decimals is x = 2.77.

A number that may be entered for the variable to produce a true number statement is the answer to an equation.

The solution to the equation \(3^x=21\) is x = 2.77 (rounded to two decimal places).

To solve this equation, we can take the logarithm of both sides using any base. Let's use the natural logarithm (ln):

\(3^x = 21\\\\ln(3^x) = ln(21)\)

Using the power rule of logarithms, we can bring down the exponent x:

x ln(3) = ln(21)

Finally, we can solve for x by dividing both sides by ln(3):

x = ln(21) / ln(3) = 2.769...

Rounding to two decimal places gives x = 2.77.

To know more about equation visit,

https://brainly.com/question/17145398

#SPJ1

The result of the fractional operation in this problem is given as follows:

-21/5 = -4.20.

A fraction is represented by the division of a term x by a term y, as follows:

Fraction = x/y.

The terms that represent x and y are given as follows:

The numerator in this fraction is given as follows:

5 - (8 - 6) + 3 x 4 + 6.

The parenthesis and the multiplication have precedence, hence:

5 - (8 - 6) + 3 x 4 + 6 = 5 - 2 + 12 + 6 = 21.

The denominator in this fraction is given as follows:

5(4 - 5) = 5(-1) = -5.

The result is the division of the numerator by the denominator, hence:

21/(-5) = -21/5 = -4.20.

More can be learned about fractions at brainly.com/question/1622425

#SPJ1

Domain: x ∈ [-6, 2]

Range: y ∈ [4, ∞)

The vertex of the parabola is given to be located at (-2,4).

The x-intercepts are at -6 and 2.

Therefore, the domain of the function is all the x-values between the x-intercepts, which is [-6,2].

We must locate the parabola's y-intercept in order to determine the range.

The parabola's equation looks like this:

y = ax2 + bx + c

Since the vertex is given to be at (-2,4), we can find c:

c = 4

Now we can calculate b and a by substituting the given values of x and y:

4 = a(-2)2 + b(-2) + 4

4 = 4a - 2b

-2b = 4 - 4a

b = -2(1 - 2a)

Now we can substitute b into the equation to find a:

4 = a(-2)2 + (-2(1 - 2a))(-2) + 4

4 = 4a - 4 + 4a

8a = 8

a = 1

Therefore, the parabola equation is as follows:

y = x2 - 2x + 4

To find the y-intercept, we can set x = 0:

y = (0)2 - 2(0) + 4

y = 4

Therefore, the range of the function is all the y-values greater than or equal to the y-intercept, which is [4,∞).

To learn more about parabola visit:

https://brainly.com/question/28747870

#SPJ4

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Based on the limited information provided, it is not possible to definitively determine the type of economy in Country A. More specific details and factors would be necessary to make a conclusive determination.

Answer:

Amadi: 20 years old

Chima : 4 years old

The sum of the angles of the triangle expressed in two ways are x + 1/2x + 3/2x and 2x + x + 3x/2

It is important to note that the sum of the angles of a triangle is equal or equivalent to 180 degrees.

We have the angle measurements as;

Substitute the values

x + 1/2 x + 3/2x = 180

Find the lowest common multiple

2x + x + 3x /2 = 180

Add the numerators

6x/2 = 180

cross multiply

6x = 360

x = 60

Hence, the expression is x + 1/2x + 3/2x and 2x + x + 3x/2

Learn more about triangles here:

https://brainly.com/question/14285697

#SPJ1

Answer:

Step-by-step explanation:

Let g and r represent the numbers of games played and rides ridden, respectively. Then the system can be written ...

  1.50g +2.50r = 16.50 . . . . . total amount spent

  g = 2r . . . . . . . . . . . . . . . . . . relationship of games to rides

Answer:

# of Rides: 3

# of Games: 6

Step-by-step explanation:

First try any possible combinations of games *2 more than rides.

Ex: 1&2, 2&4, 3&6, 4&8

2.50*3 = $7.50

1.50*6 = $9.00

7.50 + 9 = $16.50

If # of rides = r and # of games = g, equation:

16.50 = 2.50r + 1.50g

Answer:

----------------------

Given:

To find the arc measure (θ) in radians, we can use the formula:

Now, plug in the given values:

To solve for θ, divide both sides by 4:

Simplify the expression:

So, the arc measure (θ) is 2π/3 radians

Answer:

Tyrese did not follow the order of operations (PEMDAS) and carry out the exponent first.

Step-by-step explanation:

Tyrese's workings:

  2 × 3² - 3 × 3

= 6² - 9

= 36 - 9

= 27

The mistake Tyrese made was that he didn't follow the order of operations (PEMDAS) and carry out the exponent first.

Correct workings:

Substitute n = 3 into the given expression:

= 2 × 3² - 3 × 3

Carry out the exponent first:

= 2 × 9 - 3 × 3

Now carry out the multiplications:

= 18 - 9

Finally, subtract:

= 9

The total money spent on a pass and lunch for each student is $850.14.

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division.

here,

As mentioned in the question, Passes for 28 pupils and 4 teachers cost the school $778.88 and the school also spends $241.64 on lunch for kids only.

Total number of person  = 28 + 4
                                     = 32
Cost per pass = 778.88 / 32
                     = $24.34
Total passes of students = 25 × 24.34 = 608.5
Total spend on lunch of student = 241.64
Total spend on lunch = 241.64 + 608.5 = $850.14

Learn more about arithmetic here:

https://brainly.com/question/11424589

#SPJ1

Answer:

Square (top right), rectangle (middle bottom), and trapezoid (bottom right)

Step-by-step explanation:

The only one I'm not to sure about is the trapezoid, but you can rule out all the others because there is no right angle. Hope this helps!

The right angle is formed when two straight lines connect at 90° or are perpendicular at the intersection. The symbol for a right angle is L.

Therefore, the final answer is "Square (top right), rectangle (middle bottom), and trapezoid (bottom right)".

Find out more about the right angle here:

brainly.com/question/7116550

Answer:

B

Step-by-step explanation:

x ≥ 0

y ≥ 0

x + y ≤ 25

12x + 9y ≥ 275

hope this helps <3

Answer:

a)

\({ \tt{2x = 169}}\)

• divide all sides by 2 following division property of equality:

\({ \tt{ \frac{2x}{2} = \frac{169}{2} }} \\ \\ { \tt{ \underline{ \: \: x = 84 \frac{1}{2} \: \: }}}\)

b)

\({ \tt{3x = - 125}}\)

• divide all sides by 3 following division rule of equality:

\({ \tt{ \frac{3x}{3} = \frac{ - 125}{3} }} \\ \\ { \tt{ \underline{ \: \: x= -41.67 \: }}}\)

The Intel pays $7,760 to Bally Manufacturing on August 14.

The first step in calculating what Intel Corporation pays Bally on August 14 is to determine the net price of the machinery after the trade discount and the return of $100 due to defects.

The trade discount of 40% is calculated as follows:

Discount = List price × Discount rate

Discount = $13,100 × 0.40 = $5,240

So the net price of the machinery after the trade discount is:

Net price = List price - Discount

Net price = $13,100 - $5,240 = $7,860

After Intel returns $100 of machinery, the cost of the machinery is further reduced to:

Net price after return = Net price - Return

Net price after return = $7,860 - $100 = $7,760

Since the payment terms are 3/10 EOM (end of month), Intel receives a discount of 3% if payment is made within 10 days. The 10-day period begins on August 1 and ends on August 10 (the payment due date). Since Intel pays the bill on August 14, payment is late and the 3% discount does not apply.

For such more questions on pays

https://brainly.com/question/25793394

#SPJ8

Given:

The equation is, x² - x-3 = 0.

The objective is to find whether the equation can be factorised or not.

The nature of roots can be calculated using the equation,

From the given equation,

Substitute the values of a, b and c in the general equation.

Answer:

R1275

Step-by-step explanation:

simple interest = (5000*3*8.5)/100

simple interest = 127500/100

simple interest = 1275

Answer: look at the graph below

Step-by-step explanation:

Consider the given system of equation

x + y = -7     ........(1)

4x + y = 19   ..........(2)

Consider the equation (1)

x + y = -7

We first find different values of x and y that satisfies (1),

1) x = 1 , y = -7-1 = -8  

We get one point as (1,-8)

2) x= 2 , y = -7 -2 = -9

We get  point as (2 ,-9)

3) x = 0 , y = -7

We get point as (0 ,-7)

Similarly, find different values of x and y that satisfies (2),

4x + y = 19  

1) x = 2 , y = 19 -  8 = 11

We get  point as (0,11)

2)  x= 3 , y = 19 - 12 = 7

We get  point as (3 , 7)

3) x= 4 , y = 19 - 16 = 3

We get  point as (4 ,3)

Now , we plot these point on the graph paper,  we obtained graph as, (as attached below)

Answer:

Rate of speed = 480 feet per minutes

Step-by-step explanation:

Given:

Distance covered by bike = 960 feet

Time taken to covered distance = 2 minutes

Find:

Rate of speed = ?

Computation:

⇒ Speed = Distance / Time

⇒ Rate of speed = Distance covered by bike / Time taken to covered distance

⇒ Rate of speed = 960 / 2

⇒ Rate of speed = 480 feet per minutes

Answer:

Start: x = 141°

141° and x are alternate interior angles and congruent because the lines are parallel

Go left: x = 39°

39° and x are corresponding angles, and therefore congruent

Go down: x = 139°

180 - 41 = 139, the angle next to 41 and x are corresponding angles

Go left: x = 98°

180 - 82 = 98, the angle next to 82 and x are corresponding angles

Go down: x = 102°

102° and x are vertical angles and therefore congruent

Go right: x = 50°

180 - 130 = 50, the angle next to 130 and x are corresponding angles

Go down: x = 74°

corresponding angles

Go right: x = 83°

corresponding angles

Go right: x = 95°

corresponding angles

Go up: x = 18°

corresponding angles

Go left: x = 166°

180 - 14 = 166, consecutive interior angles are supplementary (I'm confused? none of the answers have it but they're definitely consecutive interior...)

I didn't get to finish but I'll attach something that may help you

The acceleration of the car is 8 m/s^2.

The figure shown in the question is the distance-time graph of a muscle car accelerating from a standstill. The table lists the coordinates of points on the graph.The following observations can be made from the graph and the table: The car is at rest at time t=0 and at distance x=0. It then starts accelerating, and its speed increases uniformly with time. The slope of the distance-time graph is the velocity of the car.

Since the velocity is increasing uniformly, the slope of the graph is a straight line with a positive slope. The area under the graph between two points gives the displacement of the car during that time interval. The displacement can be calculated as the product of the average velocity and the time interval. Using the coordinates in the table, we can calculate the average velocities for each time interval and the displacement during that interval.

(a) The average velocity of the car between t=0 and t=2 is equal to the slope of the graph between the two points (0,0) and (2,32). This can be calculated as the difference in distance divided by the difference in time:Average velocity = (32 - 0) / (2 - 0) = 16 m/sThe displacement during this time interval is given by the area under the graph between the two points:Displacement = (1/2) x 32 x 2 = 32 m

(b) The acceleration of the car is given by the slope of the velocity-time graph. Since the velocity is increasing uniformly with time, the velocity-time graph is also a straight line with a positive slope. The slope of the velocity-time graph is equal to the acceleration. We can calculate the slope of the velocity-time graph between two points using the coordinates in the table. For example, the slope between t=0 and t=2 is given by the difference in velocity divided by the difference in time:Slope = (16 - 0) / (2 - 0) = 8 m/s^2

for more search question acceleration

https://brainly.com/question/30595126

#SPJ8