what us the average rate of change

What Us The Average Rate Of Change

Answers

Answer 1

the rate of change is -2 for every set shown in the chart on the right

 so 6 to 7 would be -11 -2 = -13

7 to 8 would be -13-2 = -15

8 to 9 = -15-2 = -17

 B is the answer


Related Questions

you build four scale models of the Empire State Building. The smallest model is 3 centimeters tall. The height of each model is three times the height of the previous model.Write a power to represent the height of the tallest model.Then find the height.

Answers

The answer would be 3 to the power of 4, to get 81.

I hope this helps! :>

The height of the tallest model is 81 cm and the model is  [tex]y ( x ) = 3^x[/tex].

Given data:

Let x be the height of the tallest model.

According to the information given, the height of each model is three times the height of the previous model.

So, represent the heights of the models as and exponential model where [tex]y ( x ) = 3^x[/tex].

1st model: 3 centimeters (3 cm)

2nd model: 3 times the height of the 1st model = 3 * 3 cm = 9 centimeters (9 cm)

3rd model: 3 times the height of the 2nd model = 3 * 9 cm = 27 centimeters (27 cm)

4th model: 3 times the height of the 3rd model = 3 * 27 cm = 81 centimeters (81 cm)

So, the height of the tallest model can be represented as:

x = 81 centimeters

Hence, the height of the tallest model is 81 centimeters.

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Ratio Conversion Table mile : yard 1 : 1,760 yard : foot 1 : 3 foot : inch 1 : 12 Using the conversion table, match the equivalent measurements. Tiles 29 feet 352 yards 372 feet 124 yards 2 miles 0.2 miles 1,016 yards 10,560 feet 348 inches Pairs What would all the pairs be HELP 52 points

Answers

 29 feet = 348 inches

352 yards = 0.2 miles

372 feet = 124 yards

2 miles = 10560 feet 


 you can actually just google for the answers lol

29 feet = 348 inches

352 yards = 0.2 miles

372 feet = 124 yards

2 miles = 10560 feet  


What is the size of the largest and smallest numbers of vertices of degree 1 possible in an n-vertex tree, for n > 2?

Answers

Following the formula: Pn on n+1 vertices {v0, v1, v2, …, vn} With n>2 edges as vertices we know that the component is not a tree. At the same time we know it must contain a cycle. Therefore the size of the vertices is not possible to exceed 2n, and the degree of any vertex in any sub-graph has a minimal value of vn. Therefore the maxim is 2n and the minimum is vn.

The high school's lunch menu repeats every 6 school days. The middle school lunch menu repeats every 8 school days. On March 5th, both schools served chicken wraps. What is the next calendar date on which both schools will serve chicken wraps?

Answers

Final answer:

Both schools will serve chicken wraps again on March 29th.

Explanation:

The question involves finding the next calendar date when both the high school and middle school will serve chicken wraps again. To solve this problem, we need to find the Least Common Multiple (LCM) of the two repeating cycles, which are 6 days for the high school and 8 days for the middle school.

First, let's calculate the LCM of 6 and 8:

Multiple of 6: 6, 12, 18, 24, 30, 36, 42, 48, ...Multiple of 8: 8, 16, 24, 32, 40, 48, ...

We find that the smallest common multiple is 24 days.

Since both schools served chicken wraps on March 5th, we simply add 24 days to that date. This gives us:

March 5th + 24 days = March 29th

Therefore, both schools will serve chicken wraps again on March 29th.

The skeleton of acetonitrile is shown here. complete the structure

Answers

                   N
                   |||
                   C
                   |
         H----- C -----H
                   |
                   H


This is how the skeleton of acetonitrile looks like with its bonds and nonbonding electrons. 

Acetonitrile is a chemical compound that is a byproduct of acrylonitrile manufacture. Its molecular formula is CH₃CN or C₂H₃N. It is said to be the simplest organic nitrile and it is a colorless liquid.

For the straight line defined by the points (3, 59) and (5, 87), determine the slope and y-intercept. do not round the answers.

Answers

(3,59)(5,87)
slope = (87 - 59) / (5 - 3) = 28/2 = 14 <== ur slope

y = mx + b
slope(m) = 14
use either of ur points...(3,59)...x = 3 and y = 59
now we sub and find b, the y int
59 = 14(3) + b
59 = 42 + b
59 - 42 = b
17 = b <=== ur y int (0,17)

The slope of the given line is 14 and y intercept is 17.

What is the equation of a line ?

The equation of a line is y = mx + b.Where m is slope and b is y intercept.

According to the given question a straight line defined by the points (3, 59) and (5, 87).

We know slope (m) = (y₂ -y₁)/(x₂ - x₁)

∴ m = (87 - 59)/(5 - 3)

m = 28/2

m = 14.

Now the equation of the line will be of the form y = 14x + b.

Now we will put any of the values of the given pair of points.

∴ 59 = 14(3) + b

   b = 59 - 42

   b = 17.

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60÷5(7-5)=24 is that correct ? Thanks

Answers

Absolutely, it is correct.

[tex]\boxed{ \ 60 \div 5 (7 - 5) = 24 \ }[/tex]

Further explanation

In the 1500s the specific rules of the order of operation were promptly issued. The order of these workings states which processes take precedence (as a key priority) before which other operations.

Operation priorities are as follows.

Brackets (simplify in it)ExponentMultiplication or Division (from left to right)Addition or Subtraction (from left to right)

Let's implement the rule.

[tex]\boxed{ \ 60 \div 5 (7 - 5) = \ ? \ }[/tex]

Subtract 7 by 5 in parentheses.

[tex]\boxed{ \ 60 \div 5 (2) = \ ? \ }[/tex]

Properly apply rule number 3 from the priority operation above. Initially, we have to divide 60 by 5.

[tex]\boxed{ \ 12(2) = \ ? \ }[/tex]

Continuing with multiplication 12 by 2 proves the exact result.

[tex]\boxed{ \ 12 \times 2 = 24 \ }[/tex]

Thus, this equation is correct.

[tex]\boxed{ \ 60 \div 5 (7 - 5) = 24 \ }[/tex]

Note:

What is the result if we don't follow operation priorities? Let's see.

At this crucial point.

[tex]\boxed{ \ 60 \div 5 (2) = \ ? \ }[/tex]

We decide to multiply 5 by 2, even though there are no parentheses from them, only parentheses for 2.

[tex]\boxed{ \ 60 \div 5 \times 2 = \ ? \ }[/tex]

[tex]\boxed{ \ 60 \div 10 = 6 \ }[/tex]

[tex]\boxed{ \ 60 \div 5 (7 - 5) = 6 \ }[/tex]

That's what happens if we don't follow operating priorities.

Unless the problem like this:

[tex]\boxed{ \ 60 \div (5 (7 - 5)) = 6 \ }[/tex]

[tex]\boxed{ \ 60 \div (5 (2)) = 6 \ }[/tex]

[tex]\boxed{ \ 60 \div 10 = 6 \ }[/tex]

Thus, the difference must be considered. Consequently, follow the priority of the operation and look at the problem in detail.

Learn moreThe simplified form of 5(14 - 2)^2 ÷ 2 https://brainly.com/question/1602237Determine 3 digits are in the units period of 4,083,817 https://brainly.com/question/5586929 ten thousands divided by 10 in unit form https://brainly.com/question/4786449

Keywords: the order of operation, operation priorities are as follows, parentheses, brackets, simplify, exponent, multiplication, division, from left to right, add, subtract

In the number 514,482,441, how is the relationship between the first pair of 4s the same as the relationship between the second pair of 4s? How is it different?

Answers

Notice that the number  514,482,441 can be written as:

500,000,000+10,000,000+4,000,000+400,000+80,000+2,000+400+40+1


starting from the left:

the value of the first 4 is 4,000,000

the value of the second 4 is 400,000

thus the first 4 is 10 times the second 4


the value of the third 4 is 400

the value of the fourth 4 is 40

thus the third 4 is 10 times the fourth 4


The similarity is that both pairs of fours differ by a factor of 10

the difference is that the first pair of fours are larger than the second pair of fours, as described above.

A square kitchen floor has an area of 123 square feet estimate the length of one wall to the nearest tenth of a foot

Answers

area=side^2
123ft²=side^2
square root both sides
estimate
hmm

12²=144
11²=121
so somewhere above 11 but below 12
so like 11.1 (it's 11.09 so rounded it is 11.1)


11.1ft

area of a square = S^2

 S^2 = 123

S = sqrt(123)

S = 11.0905

 rounded to nearest tenth = 11.1 feet


What is the remainder of 21 divided by 4

Answers

21 ÷ 4 = 5 with a remainder of 1.

5 × 4 = 20

21 - 20 = 1

If you keep going despite the remainder, you will get 5 1/4. However, you need not do this if you only want the remainder.

1 is the remainder of 21 divided by 4

What is Division?

A division is a process of splitting a specific amount into equal parts.

The number which is getting divided here is called the dividend.

21 is the dividend.

The number which divides a given number is the divisor.

4 is the divisor

And the number which we get as a result is known as the quotient.

The divisor which does not divide a number completely produces a number, which is referred to as remainder.

21 ÷ 4 = 5 with a remainder of 1.

Hence, 1 is the remainder of 21 divided by 4

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23,569 pennies rounded to nearest ten thousands

Answers

since the thousands place is a 3 which is lower than a 5

 it would be rounded to 20,000

Answer:

Nearest ten thousands 20000,

Step-by-step explanation:

Given  :23,569

To find : Rounded to the nearest ten thousands

Solution: We have given that 23,569

We can write it as 23,569

Step 1 : Identify the ten thousands digit 2 in 23,569

Step 2: Identify the next smallest place value 3 in 23,569

Step 2: We can the digit less  than five, so it would be rounded down

Step 3 : The ten thousands remain same   and Every digit after becomes a zero.

Step 4 : Number become 20000.

Therefore,  nearest ten thousands 20000,

The simplified expression e2t + 2 + e−2t inside the radical can be re-written as

Answers

Final answer:

The expression [tex]e^{2t} + 2 + e^{-2t[/tex] is a quadratic equation in terms of exponentials. Without additional information, simplification beyond this stage is not generally feasible. This concept is a typical part of high school algebra, with applications in several fields.

Explanation:

The provided expression [tex]e2t + 2 + e-2t[/tex] belongs to a class of mathematical problems often seen in high school algebra. It involves exponentials, which introduces the concept of exponential functions.

The expression is in a form of a quadratic equation in terms of exponentials, which can be solved via appropriate methods such as factoring, quadratic formula, or completing the square. However, without additional information or context like an equation being set to zero, simplification beyond this stage is not generally feasible. Exponential functions often have applications in fields like physics, economics, and engineering, especially in phenomena that exhibit growth or decay properties.

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A completely filled 20 gallon tank originally contains 10 pounds of salt dissolved in water. pure water enters the tank at the rate of 5 gallons/minute, and the well-stirred mixture leaves the tank at the same rate. find the amount of salt in the tank at any time t .

Answers

Final answer:

To find the amount of salt in the tank at any time t, we can use the equation S(t) = 10 - 10(W(t)/20), where W(t) represents the amount of water in the tank at time t. Substituting the given values, we can calculate the amount of salt in the tank.

Explanation:

To find the amount of salt in the tank at any time t, we need to consider the rate at which pure water enters and leaves the tank. Since water enters the tank at a rate of 5 gallons/minute, the amount of water in the tank at any time t can be represented by the equation: W(t) = 5t, where t represents time in minutes. The concentration of salt in the tank remains constant, so the amount of salt in the tank at any time t can be represented by the equation: S(t) = 10 - 10(W(t)/20), where S(t) represents the amount of salt in pounds and W(t) represents the amount of water in gallons.

Let's solve for S(t) when t = 10 minutes:
S(10) = 10 - 10(5/20) = 10 - 10(1/4) = 10 - 10/4 = 10 - 2.5 = 7.5 pounds of salt.

Graph the solution of this inequality 4\9x -10>x\3-12

Answers

The graph of the solution would compose of all values greater than -18

Answer:

I'm terrible at explaining so here's a ss

- Ripper

Step-by-step explanation:

Marcella divided 40.8 gallons of paint among 8 containers. How much paint is in each container

Answers

divide the total gallons by the number of containers

40.8 / 8 = 5.1 gallons each

hi! There is 5.1 gallons of paint in each container. 


40.8/8= 5.1 
Check: 
5.1 x 8= 40.8

Hoped I helped!Dawn

A square field has an area of 479 ft what is the approximate length of a size of the field

Answers

Answer:

21.9 ft

Step-by-step explanation:

The area of a square is the square of the side length, so the side length is the square root of the area:

... s = √(479 ft²) ≈ 21.886 ft

This is approximately 21.9 ft.

solve
P=a+b-8
what is a=

Answers

Move the variable to the left side and change the sign
Then change the signs of both sides of the equation
A= -b+8+p

How do u write 1.2 as a fraction

Answers

split the number into its whole number component and decimal component.

for the decimal component, 0.2 is the same as 2/10

Find the GCF of both 2 and 10 and that would be 2

divide both the numerator and denominator by the GCF 

simplify and you get 1/5

Lastly combine the whole number component with the fraction and your answer would be 1 1/5.

Convert 10 centimeter to inches

Answers

3.93701 about 4 inches
The answer is approximately 3.94 inches. I hope this helps love! :)

A mural inspired by photo graph measures 107 inches by 180 inches.the scale factor is 12.what are the dimensions of the photograph

Answers

[tex]\bf \cfrac{mural}{photo}\qquad \cfrac{12}{1}\implies \stackrel{mural}{12}:\stackrel{photo}{1}\qquad \qquad \cfrac{\stackrel{width}{107}}{w}=\cfrac{12}{1}\implies \cfrac{107\cdot 1}{12}=w \\\\\\ \cfrac{\stackrel{height}{180}}{h}=\cfrac{12}{1}\implies \cfrac{180\cdot 1}{12}=h[/tex]

solve the following formula for x
y=2mx+9b

Answers

I think the answer is y-9b / 2m = x

To solve the equation y = 2mx + 9b for x, subtract 9b from both sides, and then divide by 2m. The result is x = (y - 9b) / (2m). This manipulation is emblematic of solving linear equations which are foundational in algebra.

The student is asking to solve the linear equation y = 2mx + 9b for the variable x. This type of problem involves algebraic manipulation to isolate the variable of interest. Here are the steps to solve for x:

Subtract 9b from both sides of the equation: y - 9b = 2mx.Divide both sides by 2m to solve for x: x = (y - 9b) / (2m).

In this case, y is the dependent variable, m is the slope of the line, and b would be the y-intercept if this equation were graphed on a coordinate plane. To better understand this concept, let's take the specific equation y = 9 + 3x as an example which is a linear equation with b set to 9 and m set to 3.

To visualize this equation, one can construct a table of values by selecting various x values and calculating the corresponding y values. Then, these points are plotted on a graph to show the linear relationship. This process is depicted in Table A1 and Figure A1, with the equation illustrated in a graph.

The general form of a linear equation is y = mx + b, where m represents the slope and b the y-intercept. In these exercises, understanding and manipulating this form helps us find relationships between variables and understand how changes in one variable affect another.

The rectangles in the figure below are similar. Find the value of x

Answers

3/x = 5/(x+4)
5x = 3(x+4)
5x = 3x + 12
5x - 3x = 12
2x = 12
x = 6

answer
C. 6

Answer:

C. 6

Step-by-step explanation:

It is given that the rectangles in the figure are similar.

Thus, the corresponding sides of the two rectangles will be equal.

So, we get,

[tex]\frac{3}{x}=\frac{5}{x+4}[/tex]

i.e. [tex]3(x+4)=5x[/tex]

i.e. [tex]3x+12=5x[/tex]

i.e. [tex]2x=12[/tex]

i.e. x = 6.

Hence, the value of x is 6.

if a flagpole 12 feet tall casts a shadow that is 16 feet long, find the length of the shadow cast by an antenna which is 30 ft tall. round to the nearest tenth if necessary

Answers

the shadow length of the antenna is 40ft

What is the probability that a randomly chosen rod will fit into a randomly chosen ring?

Answers

the probability would be 50 and 50

Tim walked 16 laps in 40 minutes while jim walked 30 laps in an hour who was the fastest?

Answers

now, keeping in mind that there are 60 minutes in an hour, that means Jim did 30 laps in 60 minutes then.

now, then we can just multiply each fraction by the "other's denominator" to get a common denominator for both.

[tex]\bf \stackrel{Tim}{\cfrac{16}{40}}\implies \cfrac{2}{5}\qquad \qquad \stackrel{Jim}{\cfrac{30}{60}}\implies \cfrac{1}{2}\\\\ -------------------------------\\\\ \cfrac{2}{5}\cdot \cfrac{2}{2}\implies \boxed{\cfrac{4}{10}}\qquad \qquad \cfrac{1}{2}\cdot \cfrac{5}{5}\implies \boxed{\cfrac{5}{10}}[/tex]

the fastest is the one who did more laps per the same minutes, Tim did 4 in 10 minutes, whilst Jim did 5 in the same 10 minutes.

what is the length of line segment AY?

2 units

3 units

4 units

6 units

Answers

check the picture below.

Answer:

Option C. 4 Units

Step-by-step explanation:

From the intersecting chords theorem we know that if two chords are intersecting each other in a circle then the products of the lengths of the line segments of each chord are equal.

Therefore AY.YC =YB.YD

Here AY = x, BY = 3, YC = 6, YD = 8

So x.6 = 3.8

6x = 24

x = 24/6 = 4 Units

Option C 4 units is the correct option.

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 500, find the numbers

Answers

Let the first number be x.
Then the second number is 3x.
Then the third number is (x+100).
Sum of the numbers=500

x+3x+(x+100)=500
4x+(x+100)-500=0
5x=400
x=80
The first number is 80.
The second number is 240.
The third number is 180.

We can check by adding all three of those numbers together: 80+240+180 = 500

Hope this helps! If you have any questions just ask!

Graph the function -2x+5y=10

Answers

An equation of the form ax+by+c=0, where x, y are variable, and a, b, c are numbers, is called a "linear equation"

the reason we call it linear, is that all solutions (x, y) to this equation, when plotted in the x-y axis, form a line.

To draw this line, 2 points are enough, that is 2 solutions (x, y) of the equation.

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

-2x+5y-10=0 is a linear equation (a=-2, b=5, c=-10)


to find 2 solutions, we set x or y any value we want, and solve for the other

for example: 

let x=0, 

then

-2x+5y-10=0 becomes 5y-10=0, so y=2

this gives us the solution (0, 2)

another example; set y=0

then -2x+5y-10=0 becomes -2x-10=0; -2x=10 so x=-5

thus another solution is (-5, 0)



Draw these 2 points, and join them with a line, as shown in the figure.

3 (4g + 6) = 2 (6g + 9)

Answers

Infinitely Many Solutions 
SOLUTION:

3 ( 4g + 6 ) = 2 ( 6 g + 9 )

12g + 18 = 12g + 18

12g - 12g = 18 - 18

g = 0

Hope this helps! :)

Use addition to solve the linear system of equations. 2x+y=5 3x+2y=4

Answers

2x+y=5 -------- eq 1
3x+2y=4 -------- eq2

now, multiply eq1 with -2
-2(2x+y=5)
== -4x-2y=-10-----------eq 3
 
Add eq2 and eq3,
(3x+2x)+(-4x-2y)= 4+(10)
3x+2y - 4x-2y = -6
Cancel +2y and -2y we get,
3x-4x=-6
-x=-6 
therefore, x=6

Substitute value of x in eq1, 2x+y=52(6) + y=52(6) + y=512+y=5
y=5-12=-7

 x=6 and y=-7y
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