A news reporter in a city with several carbon-emitting power plants wanted to see whether local temperatures matched trends in global climate change. She
focused on the four coldest months of the year.
The table shows local temperature data from November through February for the two consecutive cold seasons checked by the reporter.
Average Monthly Temperatures (°F)
2011-2012:
November 61 1
December 51 9
January 53.6
February 56.5

2012-2013:

Nov: 64.2
Dec:56 8
Jan;48.3
Feb: 55.1

How did the mean temperature change between the two cold seasons?
You may use the calculator.
OA.
went down by 1.40
OB.
went up by 0.3°
OC.
went up by 0.9°
OD.
went up by 3.70

The next three terms are 11x+6 , 23x+14 , 47x+30

The term-to-term rule is multiply by 2 then add x + 2 each time

First term is 2x

second term is 5x +2

next terms we can find by multiply by 2 then add x + 2 each time

third term  2(5x+2)+x+2

                 = 10x+4+x+2

                 = 11x+6

fourth term  2(11x+6)+x+2

                 = 22x+12+x+2

                = 23x+14

fifth term   = 2(23x+14)+x+2

                 = 46x+28+x+2

                 = 47x+30

The phrase equation and its cognates in other languages can also have subtly extraordinary meanings; as an example, in French an équation is described as containing one or more terms , even as in English, any well-shaped components together with two expressions related with an equals sign is an equation.

There are two kinds of equations: identities and conditional equations. An identity is authentic for all values of the variables. A conditional equation is simplest genuine for particular values of the variables

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Answer:

[tex]w=9[/tex]

Step-by-step explanation:

[tex](4w-7)+(7w-2) = 90\\11w-9=90\\11w=99\\w=9[/tex]

The inequality which matches the wingspan of the common sparrow is :

9 ≤ x ≤ 15.

Inequalities are the equations in which two non equal expressions are compared using the  mathematical relations such as ≤(less than or equal to ), ≥ (more than or equal to ), < (less than ) , >( more than).

Given that the common sparrow has a wingspan of 9 to 15 centimeters.

Let the wingspan of sparrow be x then given that x is more than or equal to  9  which gives an inequality :  x ≥ 9   ....(1)

Also it is given that wingspan, x is not more than 15 centimeters which means x is less than or equal to 15 and this gives an inequality: x ≤ 15   ....(2)

Combining (1) and (2), we get:

9≤ x ≤ 15

Therefore wingspan (x) of common sparrow is shown by the inequality : 9≤ x ≤ 15

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Answer:

7 1/8

Step-by-step explanation:

Convert 2 3/8 to improper fraction 19/8 and multiply by 3/1.  Reduce to lowest terms.

Work Shown:

n = number of sides

c = central angle

c = 360/n

c = 360/10

c = 36

This formula applies to regular polygons only (all sides must be the same length; all angles must be the same).

The balance in Kia’s account after 2 years is $2,977.54

The balance in Kia’s account after 3 years is $3,156.19

What is future value of the deposit?

The future value of the deposit, is the equivalent future worth of the deposit after having earned interest over the 2-year and 3-year periods using the future value formula of a single cash flow as shown below:

FV=PV*(1+r)^N

FV=balance after 2 and 3 years

PV=initial deposit=$2,650

r=interest rate=6%

N=number of years 2 and 3 years respectively

FV(2 years)=$2,650*(1+6%)^2

FV(2 years)=$2,977.54

FV(3 years)=$2,650*(1+6%)^3

FV(3 years)=$3,156.19

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Answer: three and two.

If you add the digits of the number you have, for example, 36 (3+6 = 9), and the result is in the on the table of multiplication of 9; then is divisible by 9.

the difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0

Step-by-step explanation:

The equation of the line in slope-intercept form is y = 5x + 16 .

The equation of a line in slope-intercept form can be written as follows,

y = mx + c                                                       equation 1

m in the above equation represents slope of the line and c represents the intercept.

The given equation is y - 5x = 16 .

To get the equation of the line in slope-intercept form we need to convert the given equation in the format of equation of a straight line i.e., equation1. So, now we will rearrange the given equation as

y - 5x = 16

On adding 5x on both sides in above equation, we will get

y = 5x + 16                                                   equation 2

On equating equation 1  and equation 2, we will get

Slope of the line = m = 5

Intercept = c = 16

The equation of the line in slope-intercept form is  y = 5x + 16 .      

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A horizontal line passing through A ( 0 , 2 )

Answer:

so first we should find LCM of the denominator.and then find the answer

[tex] \frac{7}{8} + (\frac{1}{2} \times 4) = \: \: \: \frac{7}{8 } + \frac{4}{8 } = \frac{11}{8} or1 \frac{3}{8} [/tex]

Answer:

If a sum of 2 numbers is -7 and one is x then you can write it down as X + Y = -7, or you can write it then ... Let one of the number be represented by x.

According to the translation rule, The translation of the rectangle is (x, y) → (x – 3, y + 5). Thus option C is correct.

According to the statement

We have to find that the translation rule.

So, For this purpose, we know that the

Translation is refers to the movement of a shape from one point to a different, without altering its appearance.

From the given information:

A rectangle on a coordinate plane is translated 5 units up and 3 units to the left.

With this in mind,

Once there's an upwards or downwards movement, there's a shift within the y coordinate

A move to the left or right movement, the x- coordinate is affected and moving left is negative

Hence,

y-coordinate is positive

x-coordinate is negative

Therefore, the rectangle translating 5 units up and three units to the left would be: (x, y) → (x – 3, y + 5)

So, According to the translation rule, The translation of the rectangle is (x, y) → (x – 3, y + 5). Thus option C is correct.

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Answer:

(5x)/3

Step-by-step explanation:

5 times a number is 5x.

Quotient means to divide, so the answer is (5x)/3.

hi

As rental charges is contant and then price vary with time of location, then it's answer  C

25 + 5x = 30 + 2x

The sequence 2, 3, 5, 6..is example of the sequence which is not in arithmetic sequence AP.

In Arithmetic Progression (AP), the distinction between two arithmetical orders is a constant. It is also known as Arithmetic Sequence.

Then we'd run into some important words in AP, such as:

The AP can also be described using common distinctions, as shown below.

Now, as per the question;

Consider any sequence. Let's say  2, 3, 5, 6..

Let's consider the first term is'a₁' = 2.

Let's consider 'a₂' = 3 is the second term.

Let's consider the third term is 'a₃' = 5.

Let's consider the fourth term be 'a₄' = 6

d₁  = a₂ - a₁      

Substitute the values;

d₁  = 3 - 2 = 1       ........(equation 1)

Now take the other set;

d₂  = a₃ - a₂    

d₂  = 5 - 3 = 2     .......(equation 2)

From the two equations 1 and 2. it is clear that the value of both common difference d₁ is not equal to d₂. Thus, the sequence considered is not in AP.

Therefore, the considered sequence 2, 3, 5, 6.. is not in AP.

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Answer:

8x + 8y

Step-by-step explanation:

Each obstacle course has 2 jump rope stations and 2 pogo stick stations.

There are 4 obstacle courses

So total number of jump rope stations = 4 x 2 = 8

Each  jump rope station requires x jump ropes
So total number of jump ropes needed = 8x

Each pogo stick stations. requires y pogo sticks
So total number of pogo sticks needed = 8y

Expression to represent how many jump ropes and pogo sticks Mr. Vincent needs in all is

8x + 8y

Answer/Step-by-step explanation:

5.)

Square = 2

Triangle = 3

Circle = 3

Star = 4

2(circle) + 2(triangle) = 12

12 ÷ 4 = 3

2(3) + 2(3) = 12

2(triangle) + 2(square) = 10

2(3) + 2(square) = 10

6 + 2(square) = 10

-6                      -6

2(square) = 4

÷2              ÷2

Square = 2

(circle) + (star) + 2(square) = 11

(3) + (star) + 2(2) = 11

3 + (star) + 4 = 11

7 + (star) = 11

-7               -7

Star = 4

6.)

Circle = 3

Star = 5

Triangle = 4

4(star) = 20

÷4          ÷4

(star) = 5

(star) + 3(circle) = 14

5 + 3(circle) = 14

-5                    -5

3(circle) = 9

÷3            ÷3

circle = 3

2(triangle) + (circle) + (star) = 16

2(triangle) + 3 + 5 = 16

2(triangle) + 8 = 16

                   -8    -8

2(triangle) = 8

÷2              ÷2

triangle = 4

I hope this helps!

The following equations have exactly option (A) and option (B) and option (C) are correct answers.

option (A) ⇒ -5x + 12 = 5x - 5  ⇒ x = 17/10 is correct equation.

option (B) ⇒ -5x+12= -12x - 12  ⇒ x = -24/7 is correct equation.

option (C) ⇒  -5x+12= 5x + 12 ⇒ x = 0 is correct equation.

Based on given equations, formulate,

(A). -5x + 12 = 5x - 5

Calculate the expression,

-5x + 12 = 5x - 5

-5x - 5x = -5 - 12

We can sum or difference the values,

-10x = -17

x = -17/-10

We can divide the product,

x = 17/10

(B). -5x+12= -12x - 12

Calculate the expression,

-5x + 12 = -12x - 12

-5x + 12x = -12 - 12

We can sum or difference the values,

7x = -24

We can divide the product,

x = -24/7

(C). -5x+12= 5x + 12

Calculate the expression,

-5x + 12 = 5x + 12

-5x - 5x = 12 - 12

We can sum or difference the values,

-10x = 0

We can divide the product,

x = -0/10

x = 0

(D). -5x+12 = -5x - 12

Calculate the expression,

-5x+12 = -5x - 12

-5x + 5x = -12 - 12

12 = -12

Therefore,

The following equations have exactly option (A) and option (B) and option (C) are correct answers.

Hence,

option (A) ⇒ -5x + 12 = 5x - 5 is correct equation.

option (B) ⇒ -5x+12= -12x - 12 is correct equation.

option (C) ⇒  -5x+12= 5x + 12 is correct equation.

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Answer:

X^2 -6x+14

Step-by-step explanation:

The probability of the outcome P(odd) is 1/2.

Probability is a measure of the likelihood of an event to occur. It can range in from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

We know that,

All outcomes in a die are 1,2,3,4,5, and 6.

Even outcomes = 2,4, and 6

Odd outcomes = 1,3, and 5

Hence,

Total number of odd outcomes = 3

Total number of outcomes = 6

We know that,

Probability of an event = Number of possible outcomes of the event/ Total number of outcomes

Therefore, we can write:-

Probability of the odd outcomes = 3/6 = 1/2

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The question asked by Rashid to genie, “ How many wishes have you granted ?” is not a statistical question.

Statistical question is a question that can be answered by collecting the data that vary and for which there will be variability in that data.

According to question, the question asked by Rashid has a direct answer for which there is no need to collect any data that is it has single data point which does not have any variability.

Thus the question asked by Rashid to genie is not a statistical question.

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The reading in the odometer will be 18,403 miles after travelling for 4 hours on the highway as Dominic covered a distance of 288 miles on the highway.

Distance on the odometer that was already logged = 18,115 miles.

Distance on the odometer after 45 minutes = 18,169 miles.

Distance covered in 45 mins = 18169 - 18115 = 54 miles.

Speed = 54 miles / 45 min

Speed = 6 miles / 5 minutes = 72 miles / hour

Now, he drove on the highway for 4 hours.

Time = 4 h

Distance = speed × time

D = 72 × 4 miles

D = 288 miles

Reading on the odometer when he exited the highway will be:

R = 18115 + 288 miles

R = 18403 miles.

Therefore, we get that, the reading in the odometer will be 18,403 miles after travelling for 4 hours on the highway as Dominic covered a distance of 288 miles on the highway.

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Answer:

-551,769

Step-by-step explanation:

We could just simply use subtraction:

97,485 - 649,254 = -551,769

Hope this helps!

Using the definition of the absolute value function, we have that, for item b, the function and breaking points are given as follows:

The function breaks at x = -0.5.

For item c, we have that:

The function breaks x = -3 and x = 0.5.

For item d, we have that: (problem 59)

The function breaks at x = -1.

The graphs are given at the end of the answer.

The absolute value function is defined by the following piecewise rule, depending on the input of the function:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

In general terms, we have that:

Then, for item b, we have that:

Then:

The function breaks at x = -0.5.

For item c, we have that:

Then:

The function breaks x = -3 and x = 0.5.

For item d, we have that:

Hence:

The function breaks at x = -1.

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No, he regular polygon 16 -gon will not tessellate in the plane.

A tessellation or tiling is the seamless application of one or more geometric shapes, known as tiles, to a surface, frequently a plane. Tessellation in mathematics can be expanded to include other geometries and higher dimensions.

A tiling constructed of materials like cemented ceramic hexagons or squares is referred to as a real-world tessellation. Such tilings may be ornamental designs or serve practical purposes such providing long-lasting and water-resistant pavement, floor, or wall coverings.

Tessellations were historically employed in Islamic art, such as the Moroccan architecture and the ornamental geometric tiling of the Alhambra palace. They were also used in Ancient Rome.

Regular polygons tessellate if their interior angles divide by 360° evenly or if the total of their interior angles is a factor of 360°. A tessellation is a pattern made of identical forms that fit together seamlessly.

So lets find out how pentagon won't tessellate.

First we find the measure of the interior angles of 16 -gon,

[tex]\frac{2520\°}{16} = 157.5\°[/tex]

Now divide the interior angle by 360°

[tex]\frac{360\°}{157.5\°} = 2.28[/tex]

Hence, the measure of the interior angle does not divide by 360°.

Therefore, we conclude that the regular polygon 16- gon will not tessellate in the plane.

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The simplified form of the given equation  4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6 is   [tex]27x^{2} + 37x - 38[/tex].

The branch of mathematics that deal with the study of mathematical symbols and the rules for manipulating those symbols is known as Algebra. Elementary Algebra, Abstract Algebra, Advanced Algebra, Linear Algebra, and Commutative Algebra are sub-branches of Algebra.

Algebra forms the basis for advanced studies in many fields, including science, mathematics, medicine, engineering, and economics.

The given equation is 4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6. The step wise simplification of this algebraic equation is as follows :

 4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6

= (12x - 8)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6

=  [tex]24x^{2} - 16x + 48x - 32 + 3x^{2} + 5x -6[/tex]

= [tex]27x^{2} + 37x -38[/tex]

The simplified form of the given equation  4(3x-2)(2x+4) +[tex]3x^{2}[/tex] + 5x - 6 is   [tex]27x^{2} + 37x - 38[/tex].

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The required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5

Given that,
To draw a sketch of a graph of a function that has a set of integers as its domain and all integers less than 5 as its range.

The graph is a demonstration of curves that gives the relationship between the x and y-axis.

Here,

In order to draw the graph of a function that has a set of integers as its domain and all integers less than 5 as its range.
We add
y = -|x|
For the domain to be all integers
Now, adding 5
Y = -|x| + 5

Thus, the required function that has a set of integers as its domain and all integers less than 5 as its range is y = -|x| + 5.

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The simplest radical form of (-2,3) and (6,-4). is  √113

The points are given as:

(-2,3) and (6,-4).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(-2 - 6)^2 + (3 + 4)^2

Evaluate

d = √113

Hence, the simplest radical form of (-2,3) and (6,-4). is  d = √113

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If y varies in direct proportion to x and y = 6 when x = 2, the variational constant is k = = 3. Consequently, y = 3x is the equation that describes this direct variation.

Direct variation is the change in one quantity as a result of the change in another. This suggests that if one quantity rises or falls, the other must rise or fall correspondingly as well.

The formula y = kx is used to answer direct variation questions. If finding the proportionality constant is necessary, the answer is obtained by dividing y by x.

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