Type the correct answer in each box. If necessary, use / for the fraction bar(s). John recorded the number of cars passing a traffic signal at intervals of 2 minutes. He plotted his data on this graph.

Type The Correct Answer In Each Box. If Necessary, Use / For The Fraction Bar(s). John Recorded The Number

Answers

Answer 1

Answer:

Slope of the line is = [tex] \frac{5}{2} [/tex]

y-intercept = 5

Step-by-step explanation:

Slope (m) is can be calculated using the formula, [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Use the coordinates of any two points located on the line. Let's use, (14, 40) and (10, 30).

Let,

[tex] (14, 40) = (x_1, y_1) [/tex]

[tex] (10, 30) = (x_2, y_2) [/tex]

Plug the above values into the formula to find the slope (m).

[tex] m = \frac{30 - 40}{10 - 14} [/tex]

[tex] m = \frac{-10}{-4} = \frac{5}{2} [/tex]

Slope of the line is = [tex] \frac{5}{2} [/tex]

Find y-intercept using y = mx + b

Where m = slope, and b = y-intercept

Use (10, 30) as (x, y).

30 = 5/2*10 + b

30 = 25 + b

30 - 25 = b

5 = b

b = 5


Related Questions

-7-7 (2m-7) = 7 (6+m)

Answers

Answer:

m= 0

Step-by-step explanation:

this is the right answer

-7-14m+49=42+7m

42-14m=42+7m

14m+7m=42-42

21m=0

m=0

Answer:

or,-14(2m-7)=7(6+m)

or,-28m + 98=42 + 7m

or,98-42=7m+28

or,56=35m

or,56/35=m

therefore,m=1.6 Ans

What number, c, completes the square? X^2 + 8x + c

Answers

Answer:

16

Step-by-step explanation:

If you divide 8 by 2 it is 4 and 4 times itself is 16. Because to complete the square you find half of b and square it for c.

twenty one and six hundred five thousandths

Answers

Answer:

21.605 in number form

Answer: 21.605000

This is twenty-one and six hundred five thousandths in number form. I hope this helps you out!

Find Y
.............. ​

Answers

Answer:

y = 40 / sqrt(pi)

Step-by-step explanation:

The area is 400

We want to find the diameter

400 = pi r^2

Divide each side by pi

400/ pi = r^2

Take the square root of each side

sqrt(400/ pi) = sqrt(r^2)

20/ sqrt(pi) = r

The diameter is twice the radius

2 r = d

2 * 20/ sqrt(pi) = d

40 / sqrt(pi) =d

y is the diameter so

y = 40 / sqrt(pi)

The number of people living in a country is increasing each year exponentially so that the number of people 5 years ago was 15,000. The number of people now is 26,000. What is the present population of the country? What equation can we use to describe the situation, if we let the growth rate be represented by r? Solve the equation for r. What is the growth rate? What will the population be 5 years from today?

Answers

Answer:

The present population of the country is 26,000.

[tex]y=a(1+r)^{x}[/tex]

The growth rate is approximately 12%.

The population 5 years from today will be 45,821.

Step-by-step explanation:

(1)

The present population of the country is 26,000.

(2)

It is provided that the number of people living in a country is increasing each year exponentially.

Then the exponential growth function can be used to describe the situation.

The exponential growth function is:

[tex]y=a(1+r)^{x}[/tex]

Here,

y = final value

a = initial value

r = growth rate

x = time

(3)

It is provided that x = 5 years ago the population was a = 15,000 and at present the population is y = 26,000.

Compute the value of r as follows:

        [tex]y=a(1+r)^{x}[/tex]

 [tex]26000=15000\times (1+r)^{5}[/tex]

[tex](1+r)=[\frac{26000}{15000}]^{1/5}[/tex]

  [tex]1+r=1.1163[/tex]

        [tex]r=0.1163\\r\approx 0.12[/tex]

Thus, the growth rate is approximately 12%.

(4)

Compute the population 5 years from today as follows:

[tex]y=a(1+r)^{x}[/tex]

  [tex]=26000\times (1+0.12)^{5}\\\\=26000\times 1.762342\\\\=45820.892\\\\\approx 45821[/tex]

Thus, the population 5 years from today will be 45,821.

As of 2015, there were over 75,000 elevators in New York City. The frequency table summarizes data on the number of elevators of each type. How do you make a frequency graph to display the data? Photo included. Please answer, thanks!

Answers

Answer:

Please find attached the log graph of the count (frequency) of the elevator types

Step-by-step explanation:

The number of different elevators types = 9

The maximum count of an elevator type = 96,602

The minimum count of an elevator type = 45

The mean count or number of elevator per type = 8,454

The standard deviation of number of elevator per type = 20,599.6

Given the wide difference between the mean and the standard deviation, the values of the count or frequency can be converted into the equivalent ㏒₁₀ values to flatten the frequency bar chart or histogram as follows;

Type                   [tex]{}[/tex]                 Count (f)                                   ㏒₁₀ (f)

Passenger elevator           66,602                                     4.823487

Freight elevator                 4,140                                         3.617

Escalator                            2,663                                         3.425371

Dumbwaiter                        1,143                                          3.058046

Sidewalk                               943                                           2.974512

Private elevator                    252                                          2.401401

Handicap lift                        227                                          2.356026

Manlift                                   73                                            1.863323

Public elevator                      45                                           1.653213

The information can then be easily graphically displayed.

What is 3.248 repeating as a fraction

Answers

Answer:

Example 1: 3.248 repeating line over 8

Example 2:  3.248 repeating line over 48

Example 3: 3.248 repeating line over 248

Step-by-step explanation:

FIRST ONE TO ANSWER GET'S A BRAINLIEST!!! PLZ HELP ME!!!

Solve for y, if x= -3

Equation: 2x-5y=4

Answers

Answer:

-2/5

Step-by-step explanation:

I’m pretty sure the answer is -2/5

1. Seventy percent of the population of Texas lives within a 200-mile radius of Austin.
If the total area of Texas is 267,339 square miles, about what percent of the total
land area is within 200 miles of Austin?
Analyze Circle the information you know and underline what you are
trying to find. Is there any information you will not use?
Plan How will you solve this problem?
Solve Solve the problem. Show your steps below. What is the solution?
Justify and Evaluate Does your answer make sense? Can you solve the problem
another way to check your work? oop no

Answers

Answer:

47%

Step-by-step explanation:

Radius of Austin = 200 miles

Total area of Austin = [tex]\pi r^{2}[/tex]

where 'r' = radius of Austin

From this formula,

Area of Austin = [tex]\pi (200)^2[/tex]

                        = 125663.71 square miles

Percentage of total area which is within 200 miles of Austin will be,

= [tex]\frac{\text{Area of Austin}}{\text{Total area of Texas}}\times 100[/tex]

= [tex]\frac{125663.71}{267339}\times 100[/tex]

= 47%

In this question, information regarding population of Texas will not be used.

Angelina drew a net of a container in the shape of a triangular pyramid. The base is an isosceles triangle with sides measuring 24 cm, 20 cm, and 20 cm. A triangular pyramid. The base has a base of 24 centimeters and height of 16 centimeters. A side has a base of 24 centimeters and height of 21 centimeters. 2 sides have a base of 20 centimeters and height of 22 centimeters. [Not drawn to scale] Which statement about the area of the pyramid is true? The base area is 384 centimeters squared. The lateral area is 692 centimeters squared. The surface area is 740 centimeters squared The area of each congruent face is 264 centimeters squared.

Answers

Answer:

Bb

Step-by-step explanation:

Answer:

884

Step-by-step explanation:

Took the assignment on edg

Please help with this.

Answers

Step-by-step explanat: c.18

The temperature of a town at 3:00 p.m. was
41 °C. The temperature recorded at 9:00 p.m.
was 29 °C. Find the fall in temperature per
hour, if the temperature falls at a constant rate
per hour.​

Answers

Answer:

-2° per hour

Step-by-step explanation:

3 PM => 41°

9 PM => 29°

Find the temperature fall rate.

First, there are 6 hours between 3 and 9, and the temperature decreased 41 - 29 = 12° in those 6 hours. To find the rate, simply divide the degrees difference by the number of hours => 12/6 = 2° per hour; and since it's a descending rate, you put a negative ( -2°).

What is the value of x?

Answers

Answer:

x = 21

Step-by-step explanation:

5x = (90 + 15)

5x = 105

x = 21

Line segment is a_____
of a line with two end points

Answers

Answer:

A line segment is a segment of a line with two endpoints

Step-by-step explanation:

A line segment  is the distance between two endpoints. Lines by definition are infinite so a portion of a line is a line segment.

Write a survey question for which you would expect to collect categorical data.

Answers

Answer:

My question would be:

What is your favorite movie genre?

Step-by-step explanation:

A survey is a series of questions asked to a group of people with the intention of gathering data or detecting a public opinion on a certain matter.

To carry out a good survey, the following are required:

- Establish the objectives of the survey to be carried out.

- Choose the population to which the survey will be directed.

- Design the survey with the necessary questions to obtain the established ones.

- Apply the survey and collect the data.

1. Two times the sum of a number and five is 26?



2. Eight times a number increased by nine?​

Answers

Answer:

1. x = 8

2. 8(x+9)

Step-by-step explanation:

2(x + 5) = 26

2x + 10 = 26

2x = 26 - 10

2x = 16

x = 16/2

x = 8

8(x+9)

Answer:

Hey there!

1. 2(n+5)=26

n+5=13

n=8

2. 8(n+9)

Let me know if this helps :)

Determine the coordinates of A’,B’ and C’ after the transformation r(180)

Answers

Answer:

A'(4, -2)

B'(3, 0)

C'(1, -2)

Step-by-step explanation:

Coordinates of the vertices of the given triangle are,

A(-4, 2), B(-3, 0) and C(-1, 2)

ΔABC is transformed by the rotation of 180° about the origin.

Rule for the rotation will be,

(x, y) → (-x, -y)

Coordinates of the image triangle A'B'C' will be,

A(-4, 2) → A'(4, -2)

B(-3, 0) → B'(3, 0)

C(-1, 2) → C'(1, -2)

Kathy measured her finger using a ruler with centimeters. Then she measured the same finger with a ruler using millimeters. Can Kathy compare the two measurements? Yes, 10 centimeters is the same as 1 millimeter. Yes, 10 millimeters is the same as 1 centimeter. Yes, 1 centimeter is the same as 1 millimeter. No, the student cannot compare them.

Answers

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

Kathy can compare the two measurement because 10 millimeters equals 1 centimeter

This means

10 millimeters of her finger = 1 centimeter of the same finger

100 millimeters of her finger = 10 centimeters of her finger

1000 millimeters of her finger = 100 centimeters of her finger

Therefore, Kathy can compare both measurement ( millimeters and centimeters).

Answer:

Yes, 10 millimeters is the same as 1 centimeter.

Step-by-step explanation:

if c(x)= 5/x-2 and d(x)=x+3, what is the domain of (cd)(x)

Answers

Answer:

Step-by-step explanation:

cd(x) would equal c(x) multiplied by d(x) so we get [tex]\frac{5(x+3)}{x-2}\\[/tex] = [tex]\frac{5x+15}{x-2}\\[/tex].

The domain of [tex]\frac{5x+15}{x-2}[/tex] is anything except 2, so the domain of (cd)(x) is (-inf, 2) U (2, inf).

Which value of x satisfies the equation 5(2x-9)+3=-7

Answers

Answer:

x = 7 / 2

Step-by-step explanation:

5(2x - 9) + 3 = -7    ---------- subtract 3 from both sides

5(2x - 9) + 3 - 3 = -7 - 3

5(2x - 9) = -10   ------ divide both side by 5

2x - 9 = -2      ---------- add 9 to both sides

2x - 9 + 9 = -2 + 9

2x = 7

x = 7 / 2

what is the simplified expression for 74 x 76/ 78

Answers

Answer:

2812/39

Step-by-step explanation:

74 • (76/78)

76/78 = 38/39

74 • 38/39 = 2812/39


[MA5T10 E] Name the property being illustrated.
45(25 - 5) = (45 x 25) - (45 x 5)
A) Commutative Property
B) Associative Property
C) Distributive Property
D) Subtraction Property

Answers

Answer: C). Distributive property
The property shown here is the distributive property

You can see that you have multiplied the 45 by both 25 and 5, and subtracting both of those values from each other. Even though it is a different way of writing, the final answer is the same.

The Ivy Hill Sunshine Club collected 524 cans for a canned food drive. The cans were then split up equally into 8 boxes. How many cans were in each box??? (Hurry please)

Answers

524/8 is 65.5 so the closest answer I can find is 64

a ____ is when a parent function experiences either movement or alteration.

Answers

Answer:

transformation

Step-by-step explanation:

An ant starts at (0, 0), and only makes moves of length 1 in the positive x directions or the positive y direction. How many paths are there from the ant that end at (3, 3) but never pass through (2, 3)

Answers

Answer:

The number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

Step-by-step explanation:

The possible pathways are as follows:

(0, 0) → (1, 0) → (2, 0) → (3, 0) → (3, 1) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (2, 0) → (2, 1) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (1, 0) → (1, 1) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

(0, 0) → (0, 1) → (0, 2) → (1, 2) → (2, 2) → (3, 2) → (3, 3)

Thus, the number of paths that are there from the ant that end at (3, 3) but never pass through (2, 3) is 4.

TW¯¯¯¯¯¯¯¯¯=3, CW¯¯¯¯¯¯¯¯¯=x, TU¯¯¯¯¯¯¯=x+7, VW¯¯¯¯¯¯¯¯¯=6. Find the value of x.

Answers

Answer:

x = 4

Step-by-step explanation:

TW = 3

WU = TU - TW = x + 7 - 3 = x + 4

CW = x

VW = 6

By the property of intersecting chords inside a circle, we have:

TW * WU = CW * VW

3(x + 4) = x * 6

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

12/3 = x

4 = x

x = 4

The value of x is 4.

What is the intersecting chords theorem?

The chord theorem is defined as a statement in basic geometry that explains the relationship between the four line segments formed by two intersecting chords inside of a circle. According to this statement, the products of the line segment lengths on each chord are equal. It is also known as the intersecting chords theorem.

According to given figure,

TW = 3,

CW = x,

VW = 6,

Chord TU = x + 7,

WU = TU - TW

Substitute the value of Chord TU in above equation,

WU = x + 7 - 3

WU = x + 4

According to property of intersecting chords inside a circle, the products of the line segment lengths on each chord are equal.

TW × WU =  VW × CW

3(x + 4) = 6 × x

3x + 12 = 6x

12 = 6x - 3x

12 = 3x

x = 12/3

x = 4

Hence, the value of x is 4.

Learn more about intersecting chords theorem here :

https://brainly.com/question/14681467

#SPJ5

10) Workmen used 3/5 of a pallet of pavers to build some steps leading up to the
mansion. They used 1/10 of a pallet for each step. How many steps did they build?

Answers

Answer:

6 steps

Step-by-step explanation:

Step 1: Convert 3/5 to have the same denominator as 1/10

[tex]\frac{3}{5}=\frac{(3)(2)}{(5)(2)} =\frac{6}{10}[/tex]

Step 2: How many times does 1 fit into 6

6 / 1 = 6

Therefore the workmen built 6 steps

They built 6 steps.

maggie pays $9.28 for 8m of ribbon.
what is the cost of the ribbon per meter

Answers

Answer:

$1.16 per meter

Step-by-step explanation:

You need to divide the coat by the meters.

9.28/8

= 1.16

So one meter of ribbon would cost $1.16.

Answer: $1.16

Step-by-step explanation:

cost of ribbon per meter= cost/meter

 $9.28/8m=$1.16/m

Calculate the volume of a cylindrical container, whose diameter is 24cm and height is 14cm
6336
6326
6226
6126

Answers

Answer:

[tex] \boxed{\sf Volume \ of \ the \ cylindrical \ container = 6336 \ cm^3} [/tex]

Given:

Diameter (d) = 24 cm

Height (h) = 14 cm

To Find:

Volume of the cylindrical container (V)

Step-by-step explanation:

[tex] \boxed{ \bold{\sf Volume \ (V) = \pi \frac{ {d}^{2} }{4} h}}[/tex]

Substituting values of π, d & h in the equation:

[tex] \sf \implies V = \frac{22}{7} \times \frac{ {(24)}^{2} }{4} \times 14[/tex]

[tex] \sf \implies V = \frac{22}{ \cancel{7}} \times \frac{576}{4} \times 2 \times \cancel{7}[/tex]

[tex] \sf \implies V = 22 \times \frac{144 \times \cancel{4}}{ \cancel{4}} \times 2[/tex]

[tex] \sf \implies V = 22 \times 144 \times 2[/tex]

[tex] \sf \implies V = 22 \times 288[/tex]

[tex] \sf \implies V = 6336 \: {cm}^{3} [/tex]

Answer:

V =6333.45079

Step-by-step explanation:

The volume of a cylinder is

V = pi r^2 h

We know the diameter is 24

r = d/2 =24/2 = 12

V = pi*12^2 * 14

V =2016 pi

Letting pi = pi button

V =6333.45079

Solve the equation x=3y for y

Answers

Step-by-step explanation:

x-3y=3y-3y

x-3y=0

hope this helps

Answer:

____________________

y = x / 3

x over 3

____________________

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