In Chicago, drivers that are not carpoolers pay a fee to use the express lanes on the freeways in order to increase traffic flow. The toll varies
directly with the number of cars on the road. The table shows a sample of possible tolls.
Toll
($)
1.00
2.00
3.00
4.00
Traffic Volume (Vehicles per
hour)
521
1,042
1,563
2,084
Write an equation in slope-intercept form that relates the toll x and traffic volume y.

When solving a linear system of equations, you are looking for the points of intersection between the equations

From the question, we have the following parameters that can be used in our computation:

Solving a system of linear equations

Also, we have the following from the options

The general rile is that

Slope = rate of change

x and y intercepts = when y and x equals 0

points of intersection = solution to the system

Hence, you are looking for the points of intersection between the equations

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Question

When solving a linear system of equations, you are looking for which of the following?

Slope

y-intercept

x-intercept

Points of intersection

if we will divide 137 with 100 and then multiply it with 680 you will gett your answer

the answer is 931.6

Answer:

931.6

Step-by-step explanation:

We need to change the percent to decimal form.

137%  = 1.37

Multiply this by 680.

1.37 * 680

931.6

Answer:

\( \frac{1}{3} \pi( {3.5}^{2} )(11) = 44.9\pi\)

C is the correct answer.

Answer:c

Step-by-step explanation is va cuz when your multiply:

Answer:

\(\sqrt[6]{2}\left(\cos\left(\frac{3\pi}{4}\right)+i\sin\left(\frac{3\pi}{4}\right)\right)\)

Step-by-step explanation:

The analysis is as attached below.

For given function function f(x)=-x+3-2, the domain is x > -3 and the range is y ≤ 2. So, correct option is D.

The function f(x)=-x+3-2 is a linear function in the form y=mx+b, where m is the slope and b is the y-intercept. In this case, the slope is -1 and the y-intercept is 1. Therefore, the graph of the function is a straight line that intersects the y-axis at (0,1) and has a slope of -1, meaning that it decreases by 1 for every 1 unit increase in x.

The domain of the function is the set of all possible values of x for which the function is defined. Since there are no restrictions on the value of x in the equation f(x)=-x+3-2, the domain is all real numbers, or (-∞, ∞).

The range of the function is the set of all possible values of y that the function can output. In this case, the lowest possible value of y occurs when x approaches positive infinity, and the highest possible value of y occurs when x approaches negative infinity. Therefore, the range is all real numbers less than or equal to 2, or y ≤ 2.

So, the domain is x ∈ (-∞, ∞) and the range is y ≤ 2. Alternatively, the domain can also be expressed as x > -3, since that is the minimum value of x at which the function is defined.

Correct option is D.

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Complete question is:

What are the domain and range of the function f(x)=-x+3-2?

A) domain: -3 -2

B) domain: -3 -3 range: y<-2

C) domain: x>-3 range:y>-2

D) domain : x>-3 range: y ≤ 2

Answer:

D. 44.55

Step-by-step explanation:

if you multiply 4.95x9 you get D

Answer:

the answer is D

Step-by-step explanation:

Since each is 4.95 multiply 4.95 x 9 = 44.55

hope this helps

enjoy

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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Answer:

Equilateral triangle: All three sides are equal.

Isosceles triangle: All two sides are equal.

Scalene triangle: No sides are equal.

Step-by-step explanation: Step 1: Label the given points as A, B, and C, and plot them as vertices of a triangle with connecting lines to draw the triangle we are working to identify.

Step 2: Calculate the side length AB using the distance formula.

Step 3: Calculate the side length BC using the distance formula.

Step 4: Calculate the side length AC using the distance formula.

Step 5: Compare the side lengths AB, BC, and AC from the previous steps to define the triangle type.

Answer:

40

Step-by-step explanation:

The summation notation for the given series is  \(\sum_{n=1}^{12}(2.5-1.5n)\)

The given series is,

           \(1,-0.5,-2,........\)

Since,    \(-0.5-1=-2+0.5=-1.5\)

Here we observe that,  common difference between each term is - 1.5.

So, given series is an Arithmetic progression series.

First term, \(a=1\), common difference, \(d=-1.5\)

General term for AP series,

                   \(a_{n}=a+(n-1)d\\\\a_{n}=1+(n-1)*(-1.5)\\\\a_{n}=1-1.5n+1.5\\\\a_{n}=2.5-1.5n\)

Hence, summation series up to 12 terms is,

                               \(\sum_{n=1}^{12}(2.5-1.5n)\)

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Answer:

1. c.

2. a.

3. a.

4. b.

Step-by-step explanation:

Answer:

Step-by-step explanation:look it up

Answer: A

Step-by-step explanation:

The answer is letter A..

The number of strides the runner will make during 1 hour run will be =

10,800.

To calculate the distance or number of strides made by the runner in an

hour, the graph given above is considered as follows;

The y-axis which represents the number of strides is plotted against the x-axis which is the number of hours.

From the graph

20 minutes= 3600 strides

60 minutes = X strides

make X the subject of formula;

x= 3600×60/20

= 216000/20

= 10,800

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The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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It can be concluded that triangle ABC and triangle CDE have the same shape, but possibly different sizes, and their corresponding sides are in proportion to each other.

In mathematics, a graph is a set of vertices (or nodes) and edges connecting pairs of vertices. Graphs can be used to represent relationships between objects or to visualize data. In a graph, the vertices usually represent the objects being studied, while the edges represent the connections or relationships between the objects. Graphs can be used to model a wide range of phenomena, from social networks to chemical reactions to the flow of traffic in a city. There are many different types of graphs, including directed graphs, undirected graphs, weighted graphs, and many others.

Slope is a measure of how steep a line is. It is the ratio of the change in the y-coordinates of two points on the line to the change in their x-coordinates. Symbolically, if (x1, y1) and (x2, y2) are two points on a line, then the slope of the line is given by:

slope = (y2 - y1) / (x2 - x1)

In other words, the slope is the amount by which the y-coordinate changes for every unit increase in the x-coordinate. It can be positive, negative, zero, or undefined depending on the direction and steepness of the line.

If the slopes of AC and CE are the same in the given graph, it means that the two sides are parallel to each other. By the corresponding angles theorem, angle C in triangle ABC is congruent to angle C in triangle CDE, as they are opposite angles formed by the intersection of parallel lines. Therefore, triangles ABC and CDE are similar by the angle-angle (AA) criterion.

This means that they have the same shape, but possibly different sizes, and their corresponding sides are in proportion to each other.

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Answer:

width = 12.5

Step-by-step explanation:

rectangular volume = height * width * length

1200 = 4 * w * (20 + 4)

1200 = 4 * w * 24

1200 = 96w

12.5=w

Answer:

To calculate Fred's power, we can use the formula:

Power = Work / Time

Given that Fred did 600 J of work in 60 seconds, we can substitute the values into the formula:

Power = 600 J / 60 s

Power = 10 W

Therefore, the correct answer is:

D. 10 W

Step-by-step explanation:

Answer:

Power = Work/Time

Power = 600 J/60 s = 10 W

Therefore, the answer is D. 10 W.

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Area of a rectangle = l*w

5*4 = 20

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \(\displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112\)

Then the value of the entire given expression is ...

  \(\displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}\)

_____

A calculator can help you find the value.

The number 100 would land in column 2

Given that we have the array of numbers

The length of each row in the array is 7

Dividing 100 by 7, we have

100/7 = 14 Remainder 2

This means that

Column = 2

In (a), we have

100/7 = 14 Remainder 2

This means that

Row = 14

Here, we have

The length of each row in the array is 6

Dividing 100 by 6, we have

100/6 = 16 Remainder 3

So, the location of 100 in rows of 6 numbers is row 16 and column 3

Let the length of each row in the array be n

Dividing 100 by n, we have

100/n = q Remainder r

This means that the location of 100 in rows of n numbers is row q and column r

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\(~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ G(\stackrel{x_1}{5}~,~\stackrel{y_1}{-4})\qquad H(\stackrel{x_2}{11}~,~\stackrel{y_2}{0}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ 11 +5}{2}~~~ ,~~~ \cfrac{ 0 -4}{2} \right) \implies \left(\cfrac{ 16 }{2}~~~ ,~~~ \cfrac{ -4 }{2} \right)\implies (8~~,~~-2)\)

Answer:

23,29,31,37.

....................

Answer:

3x + 30 = 80 + 2x

3x – 2x = 80 –30

x= 50

I hope I helped you^_^

Answer:

x=50

Step-by-step explanation:

3x + 30 = 80 + 2x​

subtract 2x from both sides

1x + 30 = 80

subtract 30 from both sides

x=50

Any weight 10 ounces or more would cost at least $3

Choose all the ones that are 10.0 or greater. Since the scale rounds to the nearest tenth, if the tenths number is 9 and the hundredths number is at least 5 this would round up to 10.

Answers:

10.1 oz

10.0 oz

10.02 oz

9.98 oz

Read the question .

The weight above 10ounces Costs atleast 3$

So select all the weights above 10Oz

They are

In the word problem,  The present ages of Ramesh and his elder brother are 20 years and 28 years.

What  is word problem ?

Word problems are often described verbally as instances where a problem exists and one or more questions are posed, the solutions to which can be found by applying mathematical operations to the numerical information provided in the problem statement. Determining whether two provided expression are equal with respect to a collection of rewritings is known as a word problem in computational mathematics.

Here let us take present age of Ramesh and His elder brother are 5x and 7x.

Now After 4 years their ages will be 3:4. Then,

=> \(\frac{5x+4}{7x+4}=\frac{3}{4}\)

=> 20x+16=21x+12

=> 21x-20x=16-12

=> x= 4

Then Present age of Ramesh = 5*4=20 years.

Present age of his elder brother = 7*4=28 years.

Hence The present ages of Ramesh and his elder brother are 20 years and 28 years.

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The length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

To find the length of the fence around the enclosure, we need to first find the perimeter of the rectangle and then subtract the combined length of the two gates from it.

Let's assume the length of the rectangle is 'l' and the width is 'w'.

From the given data, we know that each gate is 4 m wide.

Therefore, the width of the rectangle is:

Width = w + (4 m + 4 m) = w + 8 m

The perimeter of the rectangle is:

P = 2l + 2(w + 8 m) = 2l + 2w + 16 m

Now, we need to subtract the combined length of the two gates from the perimeter:

P - 2 × 4 m = 2l + 2w + 16 m - 8 m = 2l + 2w + 8 m

So, the length of the fence around the enclosure not including the gates is:2l + 2w + 8 m

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Answer:

[2x-4]<x-1 so we take off the brackets so

2x-4<x-1

group like terms so

2x-x<-1+4

x < 3

Answer:

Tbh I thought I knew

Step-by-step explanation:

Sorry