for questions 4-6: The table below shows
e average price of a gallon of gasoline.
Year
2000
2004
2010
2012
2015
Price
2.02
2.32
3.02
3.64
2.45
4. Find the rate of change from 2004 to 2010.
5. Find the rate of change from 2000 to 2012.
6. Find the rate of change from 2012 to 2015

Answers

Answer 1

Answer:6/13/3

Step-by-step explanation:look at how the year’s difference are


Related Questions

sry for the awful picture but i couldnt get it as a file

Answers

Check the picture below.

This is the kinetic energy of a 64 kg object travelling at 12 m/s.

11.2kj
4.6kj
960j

Answers

Kinetic energy of a 64 kg object travelling at 12 m/s is 4.6kj.

Kinetic energy = KE = [tex]\frac{1}{2}mv^{2}[/tex]

Mass = m = 64 kg

Velocity = v = 12 m/s

KE = [tex]\frac{1}{2}*64*(12)^{2}[/tex]

    = 4608 J

1000 j = 1 kj

      1 j = 1/1000 kj

4608 j = 4608/1000 kj

          = 4.608 kj

Hence, kinetic energy is 4.6 kj.

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a.
Lesson 2.16 Practice Problems
There are many cylinders with a volume of 1447 cubic inches. The height h(r) in
inches of one of these cylinders is a function of its radius r in inches where h(r) =
b.
What is the height of one of these cylinders if its radius is 2 inches?
What is the height of one of these cylinders if its radius is 3 inches?
What is the height of one of these cylinders if its radius is 6 inches?
144

Answers

1) The height of one of these cylinders if its radius is 2 inches is

115.207 inches.

2) The height of one of these cylinders if its radius is 3 inches is

51.203 inches.

3) The height of one of these cylinders if its radius is 6 inches is

12.800 inches.

VOLUME OF CYLINDER = πr²h = 1447 cubic inches

1) when radius is 2 inches then:

πr²h = 1447

h = 1447/ (3.14 x 2²) = 115.207 inches

2)when radius is 3 inches then:

πr²h = 1447

h = 1447/ (3.14 x 9²) = 51.202 inches

3) when radius is 6 inches then:

πr²h = 1447

h = 1447/ (3.14 x {36}²) = 12.800 inches

1) The height of one of these cylinders if its radius is 2 inches is

115.207 inches.

2) The height of one of these cylinders if its radius is 3 inches is

51.203 inches.

3) The height of one of these cylinders if its radius is 6 inches is

12.800 inches.

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Isabelle wanted to arrange her baseball cards in pairs but was one card short . she tried to arrange them by fives and was still one card short. she finally arranged her cards by sevens. what is the least number of cards she could have had?

Answers

The Least number of baseball cards Isabella could have is 49

How to determine the least number of cards

To solve the problem, the multiples of seven will be necessary to ascertain the one that will:

have remainder 1 when divided by 2 remainder 4 or fall short by 1 when divided by 5

multiples of 7: 7 , 14 , 21 , 28 , 35 , 42 , 49 , 56 , 63....

14 is short of 1 when divided by 5 but it is divisible by 2 without remainder

49 is the least number that fall short of 1 card to make it a multiple of 5 and have a remainder one when divided by 2

Hence the answer is 49

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Kepteo can cultivate a piece of land in7hrs. While wanjiku can do the same work in 5 hrs . Find the time they will take to cultivate the piece of land when working together

Answers

The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

What is mean by Fraction?

A fraction is a part of whole number, and a way to split up a number into equal parts.

Or, A number which is expressed as a quotient is called fraction.

It can be written as the form of p : q, which is equivalent to p / q.

Given that;

Kepteo can cultivate a piece of land in 7 hr.

Wanjiku can do the same work in 5 hr.

Now,

Since, Kepteo can cultivate a piece of land in 7 hr.

Hence, Kepteo make work in 7 h

So, In 1 hour kepteo work = 1/7

And, Since, Wanjiku can cultivate a piece of land in 5 hr.

Hence, Wanjiku  make work in 5 h

So, In 1 hour Wanjiku work = 1/5

Thus, They make with together = 1/7 + 1/5

                                                = 12/35

Hence, When they working, they make = 12/35 work per hour

So, They need number of hour to working together = 35/12 hour

                                                                               = 2 hour 55 minutes.

Thus, The time is 2 our 55 minutes when they will take to cultivate the piece of land when working together.

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Don’t get how I can figure out the Explicit Equation from this

Answers

The four terms of the series will be equal to 14,20,26, and 32.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the equation for the series is given as, t(n) = 6n + 8. The series will be formed as,

t(n) = 6n + 8.

t(1) = 6 x 1 + 8 = 6 + 8 = 14

t(2) = 6 x 2 + 8 = 12 + 8 = 20

t(3) = 6 x 3 + 8 =  18 + 8 = 26

t(4) = 6 x 4 + 8 = 24 + 8 = 32

Therefore, the four terms of the series will be equal to 14,20,26, and 32.

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While volunteering in her community, Janicka picked up 5 2/5 lb of trash. If 2/3 of what she collected was able to be recycled, how many pounds of trash did Janicka recycle?

Answers

The pounds of trash that Janicka recycle is 3 3/5 pounds.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split.

In this situation, Janicka picked up 5 2/5 lb of trash and 2/3 of what she collected was able to be recycled.

The amount to be recycled will be:

= 2/3 × 5 2/5

= 2/3 × 27/5

= 54 / 15

= 3 9/15

= 3 3/5

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What 1+2

Apparently that wasn’t enough info…

Answers

Answer:

3???

Step-by-step explanation:

If I earn $11 /hr. I worked for 6 and a half hrs yesterday, How much did I earn?

Answers

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

Define hours.

An hour (symbol: h; also abbreviated as hr) is a measure of time that is traditionally thought of as one-fourth of a day and that, according to science, lasts between 3,599 and 3,601 seconds, depending on how quickly the Earth rotates. There are 24 hours in a day and 60 minutes in an hour. 60 minutes is one of the 24 equally spaced out segments of a day.

Given,

Earns $11/hr

Worked for 6 hours and 30 minutes

Multiplying:

$11 × 6.5 hours

$ 71.5

He earned $71.5 if he earn $11 /hr. I worked for 6 and a half hrs yesterday.

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The expression 45h +225 represents the total cost in dollars of
renting a large party tent from a local rental store for h hours. Jamal's
parents are willing to spend between $500 and $750 for the tent.
Part A. Write an inequality to represent the possible lengths of time
the tent can be rented.
Part B. Using your inequality in Part A, what is one possible length of
time the tent could be rented? Give your answer in number of hours.

Answers

Part A Write an inequality to represent the possible lengths of time

the tent can be rented

[tex]6.11\leq h\leq 11.66[/tex]

Part B. Using your inequality in Part A, what is one possible length of

time the tent could be rented

[tex]6hr 6min\leq h\leq 11hr39min[/tex]

The definition of a linear inequality

The inequality symbol is used to compare two mathematical expressions in what are referred to as linear inequalities. The expression could be both numerical and algebraic, or it could just be one.

What does a linear inequality in mathematics look like?

What Is an Example of Linear Inequality? An example is the linear inequality x - 5 > 3x - 10. The LHS is obviously greater than the RHS because the greater than symbol is being utilized in this inequality. After being resolved, the inequality appears as follows: 2x 5 x (5/2).

Given That

45h+225 is total cost in dollars for renting tent and parents are willing to spend between $500 and $750 for the tent.

Part A

[tex]500\leq 45h+225\leq 750\\500-225\leq 45h+225-225\leq 750-225\\275\leq 45h\leq 525\\\frac{275}{45} \leq h\leq \frac{525}{45} \\6.11\leq h\leq 11.66[/tex]

Part B

[tex]6.11hr\leq h\leq 11.66hr[/tex]

6.11 hr = 366 minute approx.

11.66 hr = 699 minute approx.

[tex]6hr 6min\leq h\leq 11hr39min[/tex]

Hence this is the answer

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Point M is the midpoint of AB. If the coordinates of A are ( -3 , 6 ) and the coordinates of M are ( -5 , 2 ), what are the coordinates of B? (reference sheet on the left side)

Answers

The coordinates of B are (-7,-2).

What do you mean by x and y coordinates?

The x and y coordinates are a component of the x-axis and y-axis in a 2D space in the Cartesian coordinate system. The x and y coordinates for a point in space are expressed as an ordered pair (x, y). The position of the point on the x-axis is shown by the first number, while its location on the y-axis is indicated by the second number.

According to the given data in the question,

if M is the location where line segment AB meets its midpoint.

Then, we will using the midpoint formula,

[tex](-5,2)=(\frac{-3+x}{2},\frac{6+y}{2})..............(1)[/tex]

Putting the x-coordinates in (1),

[tex]-5=\frac{-3+x}{2}\\ -10=-3+x\\-10+3=x\\x=-7[/tex]

Similarly, putting the y-coordinates in (1),

[tex]2=\frac{6+y}{2} \\4=6+y\\4-6=y\\y=-2[/tex]

Hence, the coordinates of B are (-7,-2).

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For the polynomial below, -1 is a zero.
f(x)=x^3+5x^2+6x+2
Express f(x) as a product of linear factors.

Answers

The product of linear factors for f(x) is given as (x + 1)(x² + 4x + 2) for -1 as a zero of the polynomial x³ + 5x² + 6x + 2.

What is the factor theorem?

The factor theorem states that;

f(x) is divisible by x - a if and only if f(a) = 0

f(x) is divisible by x + a if and only if f(-a) = 0

in both cases, a and -a are the zeros of the polynomials.

From the question, given that -1 is a zero of

f(x) = x³ + 5x² + 6x + 2, then it is divisible by x + 1 and f(-1) = 0.

Dividing x³ + 5x² + 6x + 2 by x + 1 using the long division will result to another factor x² + 4x + 2 with a remainder of zero. (complete long division is attached as a photo!)

Therefore we can then conclude that (x + 1)(x² + 4x - 2) is the product of linear factors for f(x) = x³ + 5x² + 6x + 2 and -1 as a zero.

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2. Carly has already written 35 pages of a novel. She plans to write 12 additional pages per month until
she is finished. Write and solve a linear equation to Aind the total number of pages written at 5
months.

Answers

Answer:

y = 12x + 35

95 pages

Step-by-step explanation:

Let y represent the total number of pages

Let x represent the total number of months

x = 5 (months)

so..

y = 12(5) + 35

y = 60 + 35

y = 95

Select the correct answer. Four figures. Figure 1 shows a right triangle A C B with a line D E parallel to base B C. Figures 2, 3, and 4 shows a triangle A B C with a line D E parallel to base B C. In which figure is ? A. figure 1 B. figure 2 C. figure 3 D. figure 4

Answers

Answer: going to take a wild guess and say figure 2 or figure 4 is correct but I'm going with figure 2

Step-by-step explanation:

Answer: Figure 4

Step-by-step explanation:

I got it right on Edmentum

a vegetable seller purchased 1 quintal of potatoes at rs 35 per kg and sold at a loss of rs 350. find his rate of selling price and loss percent​

Answers

Answer:

Selling price = RS 3150

Loss percent = 10%

Step-by-step explanation:

1 quintal = 100kg

Cost price = 35*100

= RS 3500

Loss = RS 350

Selling price = RS 3500-350

Selling price = RS 3500-350 =RS 3150

Loss percent = Loss *100%

Cost Price

= 0.1 *100

= 10%

Please, mark brainliest answer

Seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary. Find the measures of these three angles.

Answers

The measures of the remaining three angles of the decagon are 40, 50 and 130 degrees.

How to find angles of a decagon?

A decagon is a polygon with 10 sides. In a regular decagon, the interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Therefore, seven of the angles of a decagon have measures whose sum is 1220. Of the remaining 3 angles, exactly two are complementary and exactly two are supplementary.

Complementary angles sum up to 90 degrees while supplementary angles sum up to 180 degrees.

Therefore,

1440 - 1220 = 220

Let the angles be a, b and c.

Therefore,

a + b + c  =220

a + b = 90

b + c = 180

Hence,

a = 220 - 180

a = 40°

b = 90 - 40

b = 50°

c = 180 - 50

c = 130°

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Multiply the difference of 10 and 8 by 4 expression

Answers

The Mathematical Expression formed is 4(10-8)

What is a Mathematical Expression?

In mathematics, an expression is a phrase that has at least two numbers or variables and at least one arithmetic operation. Addition, subtraction, multiplication, or division are all examples of math operations.

Solution:

The mathematical expression formed frrom the statement;

Multiply the difference of 10 and 8 by 4

is as follows,

4(10-8)

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there is a number written on the board. one student increased the number by 12. another student multiplied the number written on the board by 3. the first student's result is 2 greater than the second student's result. what is the number written on the board?

Answers

From the given condition of number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

As given in the question,

Let x be the number written on the board.

First student increased the number on board by 12 = x +12

Second student multiply the number on board by 3 = 3x

Required equation as per given condition is:

x +12 = 3x + 2

⇒ 3x -x = 12 -2

⇒ 2x = 10

⇒ x = 10/2

⇒ x= 5

Therefore, for the number written on the board, first student increased it by 12 and second multiply by 3 the result of first one is greater than the second by 2 then number written on the board is 5.

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You are walking from home to a clothing store. You stop for a rest after 1/2 miles. The clothing store is actually 3/5 miles from home. How much farther do you have to walk?​

Answers

Answer:

2/3 u need to walk to reach the clothing shop

How many square inches are in a square mile?

Answers

Answer: 4.014e+9 square inches

In a square mile there are this many square inches:

Find P(AUB) of P(A)=2/5,P(B)=2/7 and A and B are Independent

Answers

P(A∪B)=24/35 when A and B are independent and P(A)=2/5,P(B)=2/7

What is meant by probability?

Probability is the branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely it is that a claim is true. The probability of an event is a number between 0 and 1, with 0 signifying impossibility and 1 expressing certainty. The greater the likelihood of an occurrence, the more likely it will occur.

Probability theory, which is widely used in domains such as statistics, mathematics, science, finance, gambling, artificial intelligence, machine learning, computer science, game theory, and philosophy, has given these concepts axiomatic mathematical formalization.

Given,

P(A)=2/5

P(A)=2/7

P(A∪B)=?

And also given that A and B are independent then,

P(A∩B)=0

P(A∪B)=P(A)+P(B)-P(A∩B)

P(A∪B)=(2/5)+(2/7)-0

P(A∪B)=(14+10)/35

P(A∪B)=24/35

Therefore, P(A∪B)=24/35 when A and B are independent.

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Find the volume of the prism. Round to the nearest tenth if necessary.
options: 504.0 cm3 204.7 cm3 252.0 cm3 291.7 cm3

Answers

The volume is the amount of space thus the volume of the given prism will be 204.7 cm³ thus option (B) is correct.

What is volume?

Volume is the scalar quantity of any object that specified occupied space in 3D.

For example, the space in our room is referred to as volume.

Volume has units of cube example meter³,cm³, etc.

The volume of the given prism will be the area of the front triangle with a length of 12 cm.

The form triangle has been attached below,

The length x will be,

x = √(6² - 3.5²) = 4.87 cm.

The area of from triangle = (1/2) × 7 × 4.87

A = 17.06 cm²

The volume of the prism = A × length (12 cm)

Volume = 17.06 × 12 = 204.68 cm².

Hence "The volume is the amount of space thus the volume of the given prism will be 204.7 cm³".

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The complete question has been attached below ;

What is the remainder of 233 Divided by 6

Answers

Answer: 233 divided by 6 is 38.8333

Answer:

38.8333333

sorry if it's wrong.

Determine the axis of symmetry of the graph of the following parabola. f(x)=3(x−5)2+1 Give your answer in the form x=h.

Answers

The axis of symmetry of the parabola, having the equation, f(x) = 3·(x - 5)² + 1 is the line x = h = 5

What is a parabola?

A parabola is the locus of a point that moves such that the distance of the point from a fixed point is the same as the distance of the moving point from a fixed line.

The graph of a parabola has the shape of an open umbrella

The given equation for the parabola is; f(x) = 3·(x - 5)² + 1

The equation is given in the vertex form, f(x) = a·(x - h)² + k, where;

(h, k) = The vertex of the parabola

The axis of symmetry of a parabola, which is the line that divides the parabola in two, passes through the vertex of the parabola

Comparing the equation, f(x) = 3·(x - 5)² + 1, to the vertex form of a parabola,  gives;

a = 3

(h, k) = (5, 1) (The vertex of the parabola)

Which gives; h = 5

The equation of the axis of symmetry is therefore the line, x = h = 5

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Question 11(Multiple Choice Worth 5 points)
(Writing Two-Step Equations MC)
Jerald is having drain issues at his home and decides to call a plumber. The plumber charges $35 to come to his house and $60 for every hour they work. If the plumber
charges Jerald a total of $305, how many hours did the plumber work?
Write and solve an equation to determine the number of hours worked by the plumber.

Answers

The plumber will work for 4hrs and 30min. Which we can call in many ways as “four and half hours”.

What are examples of LHS and RHS?

The right side of the equation is represented by the expression to the right of the "=" sign, and the left side by the expression to the left of the "=" sign.

For instance, in, the left-hand side (LHS) is represented by x + 5 and the right-hand side (RHS) by y + 8.

      Plumber charges for coming home : $35

                Charge for work per hour: $60

      Total  charges of the plumber          : $305

Total  charges =   (charges for coming home) + ( Charge for work per hour) x (hours he worked)

The equation is 35 + 60X =305

305 = 35 + 270

270 = ( Charge for work per hour) × (X)      [Let hours he worked = x]

270 = 60 × (X)

270 ÷ 60 = (X)

X = 4.5

The plumber has worked for 4.5 hrs .

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Write an equation of the line that passes through each pair of points.(5, −2), (7, −1)

Answers

[tex](\stackrel{x_1}{5}~,~\stackrel{y_1}{-2})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{(-2)}}}{\underset{run} {\underset{x_2}{7}-\underset{x_1}{5}}} \implies \cfrac{-1 +2}{2} \implies \cfrac{ 1 }{ 2 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-2)}=\stackrel{m}{ \cfrac{1 }{ 2 }}(x-\stackrel{x_1}{5}) \implies y +2 = \cfrac{1 }{ 2 } ( x -5) \\\\\\ y+2=\cfrac{1 }{ 2 }x-\cfrac{5 }{ 2 }\implies y=\cfrac{1 }{ 2 }x-\cfrac{5 }{ 2 }-2\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 2 }x-\cfrac{9}{2} \end{array}}[/tex]

Answer:

y=1/2x-9/2

Step-by-step explanation:

First you want to find the slope by doing -2-(-1)/5-7

Therefore the slope is 1/2

Next you want to add in any set of points, either (5, -2) or (7, -1)

Substitute the x- point in place of x and the y in place of y in y=1/2x+b

Once you do this you should get -2=1/2(5)+b

You should get -2=2 1/2+b

Then subtract 2 1/2 from -2

You should get -4 1/2

Once you have the slope and y- intercept you can put together your problem

y=1/2x-4 1/2

don't forget to convert, y=1/2x-9/2

Hope this helps  

A dairy farmer wants to mix a 80% protein supplement and a standard 55% protein ration to make 1400 pounds of a high-grade 60% protein ration. How many pounds of each should he use?

Answers

If the dairy farmer wants to mix a 80% protein. The amount of pounds of each that he should use is 80% 280 pounds and 55% 1120 pounds.

How to find the number of pounds?

Protein I 80% = x pounds

Protein II 55% = 1400 - x pounds

Mixture 60% = 1400

Hence,

80% x + 55% ( 1400 - x ) = 60% × 1400

80 x + 55 ( 1400 - x ) = 84000

80 x + 77000 - 55 x = 84000

Combine like terms

80 x - 55 x = 84000 - -77000

25 x = 7000

Divide both side by 25x

x= 7000/25

x =280 pounds ( Protein I)

Protein II

1400 - x pounds

1400 -280

=  1120 pounds

Therefore the farmer should use 280 pounds and 1120 pounds.

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Use the Pythagorean Theorem to find the length of the hypotenuse in the triangle below.

The figure shows a right triangle with legs marked 30 and 16.

Answers

Answer:

A:

Answer:65Step-by-step explanation:C^2= A^2 + B^2C^2 = (60)^2 + (25)^2 C^2 = 4225Take the square root of CC = 65

“on the following checking account record, enter the figures and add or subtract them to keep the running total correct”
will mark brainliest and 100 points :))

Answers

The running total is  $95.27.

There are two types of records, Active and Inactive. There are also two major classifications, Vital and Important.

Why is record keeping important?In order to create reliable financial statements, you need good records. These consist of balance sheets and income (profit and loss) statements. These statements might assist you in managing your business and dealing with your bank or creditors.

He opened the account with $299.88. He subsequently wrote many cheques, from which you deduct the sum of 299,88.

He deposited a check, thus 299.88-90.48= 209.40, 209.40 - 65.00= 144.40, and then he added $381.33 to 144.40 to get 525.73.

then you need to deduct more since he wrote more checks.

Consequently, 525.73-54.47=471.26, and 471.26-375.99=95.27, giving him a balance of $95.27.

Good Records entail documents comprising recorded data that show the efficacy of the quality management system, independent of the format or feature.

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The current total is $95.27. Active and Inactive records are the two types of records. There are two major classifications as well: Vital and Important.

Why is record keeping important?

Good records are required to create reliable financial statements. Balance sheets and income (profit and loss) statements are included. These statements may help you manage your company and deal with your bank or creditors.

Good Records are documents that contain recorded data that demonstrate the effectiveness of the quality management system, regardless of format or feature.

Given,

He deposited into the account = $299.88

He then wrote a number of cheques, from which you deduct = $299,88.

He deposited a check, thus 299.88 - 90.48

= 209.40, 209.40 - 65.00

= 144.40

and then he added $381.33 to 144.40 to get 525.73.

then you need to deduct more since he wrote more checks.

Consequently,

525.73 - 54.47

=471.26  

and 471.26-375.99

= 95.27

As a result, The gives him a balance of $95.27.

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Which equation has the same solution as x² + 4x + 13 = -10?

Answers

From the given set of equation the one which has same solution as

x² + 4x + 13 = -10 is given by (x+2)² = -19.

As given in the question,

Given equation is equal to:

x² + 4x + 13 = -10

Simplify it we get,

x² + 4x + 13 +10 =0

⇒ x² + 4x + 23 =0  ___(1)

General quadratic equation is

ax² + bx + c =0

a = 1 , b =4 , c =23

Simplify the given options we have:

a. (x+2)² = -19

⇒ x² + 4x + 4 = -19

⇒ x² + 4x + 4 + 19 =0

⇒ x² + 4x + 23 =0

Has same solution as given one.

b.  (x-2)² = -27

⇒ x² -4x + 4 +27 =0

⇒x² -4x +31 =0

'b' and 'c' value are different

Not have same solution.

c. (x-2)² =-19

⇒ x² -4x + 4 +19 =0

⇒x² -4x +23 =0

'b' value is different.

Not have same solution.

d. (x+2)² = -27

⇒ x² +4x + 4 +27 =0

⇒x² +4x +31 =0

'c' value is different

Not have same solution.

Therefore, from the given set of equation the one which has same solution as x² + 4x + 13 = -10 is given by (x+2)² = -19.

The complete question is:

Which equation has the same solution as x² + 4x + 13 = -10?

a. (x+2)² = -19

b. (x-2)² = -27

c. (x-2)² =-19

d. (x+2)² = -27

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