Mathematics High School

12.2: Postage Stamps
The relationship between the postage rate and the weight of a letter can be defined by a
piecewise function.
The graph shows the 2018 postage rates
for using regular service to mail a letter.
1.67
postage (dollars)
$10.55
0.45
1.5
1.25
1
0.75-
0.50
0.25
0.5
1
1. What is the price of a letter that has the following weight?
a.
1 ounce
0.50
b. 1.1 ounces
c. 0.9 ounce
2. A letter costs $0.92 to mail. How much did the letter weigh?
1.5 2 2.5 3 3.5 4
weight (ounces)

Answers

Answer 1

The price of the letter with the given weights are;

a) 1 ounce = $0.5

1.1 ounces = $1.1

0.9 ounces = $0.5

b) At a cost of $0.92 , weight is 3 ounces

How to Interpret Piecewise function Graphs?

A piecewise function is defined using different expressions for different intervals in its' domain.

Now, from the graph, we see two line end points. One that is shaded circle and one that is not shaded circle but we will make use of the shaded one because it implies that is the output.

a) At one ounce, we can trace on the graph that the postage price is $0,5.

At 1.1 ounces, we can trace on the graph that the postage price is approximately $0.71

At 0.9 ounces, we can trace on the graph that the postage price is approximately $0.50

b) At a cost of $0.92 to mail, the weight must be more than 2 ounces but less than or equal to 3 ounces.

Read more about Piecewise function Graphs at; https://brainly.com/question/3628123

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Related Questions

find value of x and y

Answers

Step-by-step explanation:

x = 144 ( corresponding angle)

y = 180- 144 ( linear pair)

y= 36°

Dexter has 83 tiles left over from tiling his bathroom floor and he would like to use them to tile the front entrance of his house. Each tile has an area of 49 in^2. the function A(t)=49t represents the area A(t), in square inches that t tiles cover. What domain and range are reasonable for the function? What is the graph of the function?

Answers

Answer: [0, 396]

Step-by-step explanation:

The domain is the acceptable values of x in the function. In this case, x = t, the number of tiles. If you think about it, the minimum number of tiles is 0 (you can't have a negative number of tiles), and the maximum number of tiles is 44 (you only have 44 tiles). So, the domain for this function is from 0 to 44.

0 to 44 written in interval notation is [0,44].

The range is the acceptable values of y in the function. In this case, y = A, the area given. A(t) = 9t, so you can use the acceptable values of t to get the range. Again, the minimum area is 0 because you can't have negative area. To find the maximum area, plug in the maximum number of tiles: 9.

A(t) = 9t

A = 9(44)

A = 396

With the maximum number of tiles, 44, the area you get is 396 cm². Therefore, the acceptable values of A are from 0 to 396.

0 to 396 written in interval notation is [0, 396].

answer question asap please

Answers

AnswThe answer would be 5 and 86

Step-by-step explanation:

sulitions are 5 and 86

Answer:

x = 1/5 , -3/5 ??

Step-by-step explanation:

helpppppppp pleaseeeeeeeeeeeee

Answers

Answer:

area of the triangle is

[tex] \frac{1}{2} \times 4.4 \times (6.1 + 3.3)[/tex][tex] 2.2 \times 9.4[/tex][tex]20.68 \: {in}^{2} [/tex]

Michelle is making a scale model of her favorite car. The actual car is 8 feet long and 4 feet wide. Michelle wants her model to be 12 inches in length. Which could be used to find the width of her model if she used the same ratio?

Answers

Answer:

6 inches

Step-by-step explanation:

It is given that :

Length of the actual car = 8 feet

Width of the actual car is = 4 feet

Michelle is making a model of her car.

The length of her model car = 12 inches

Therefore, the ration is 3 : 2

So the width of the model car = 4 x 3/2

= 6 inches

Can somebody help with question 5.

Answers

17 i think
wxh/v=L
hope this help

A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.

Answers

i think it should be obtuse but i am not sure

I need help please I’ll give you 15 points

Answers

Answer:

3 x 5 x 5

Step-by-step explanation:

75 = 15 x 5

15 = 3 x 5

2x+10=28
What is the solution to this equation

Answers

Answer:

x=9

Step-by-step explanation:

step 1. restate the equation

2x+10=28

step 2. subtract 10 from both sides of the equations

2x+10-10=28-10

2x=18

step 3. get x alone by dividing 2 from both sides

2x/2=18/2

step 4. the answer

x=9

there is 1 pint of liquid in this container if another pint was added how much liquid would ther be

Answers

Answer:

2 us liquid pints =

0.25 us liquid gallon

Step-by-step explanation:

Which of the following describes the function of the nervous system?

A. to regulate internal temperature

B. to carry blood through the body

C. to rid the body of cellular waste

D. to respond to external stimuli

Answers

Answer: D

I think lol

The best description of the function of the nervous system among all the options is to respond to external stimuli.

Your nervous system is your body’s command center. Originating from your brain, it controls your motions, studies, and instinctive reactions to the humankind around you. It too controls distinct body systems and processes, similar to digestion, breathing, and sexual growth( puberty). conditions, accidents, poisons, and the natural aging course can compromise your nervous system.

Thus, option D is correct in that the nervous system is responsible to respond to external stimuli.

Learn more about Nervous System here:

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Find the value of x (7TH GRADE MATH)

Answers

Answer:

the answer is 5

Step-by-step explanation:

a right angle has a total of 90 degrees

so you subtract 65 from 90 and get 25

that is the total degrees in the rest of the angle

then you would have to divide 25 by 5

leaving you with 5

Complete the following table using the equation: y = x squared
x
-3
-1
0
1
3
y

Plot the points on a graph and determine which graph best represents the equation.
Graph A
On a coordinate plane, a parabola opens up and goes through (negative 2, 4), has a vertex at (0, 0), and goes through (2, 4).
Graph B
On a coordinate plane, a parabola opens down and goes through (negative 2, negative 4), has a vertex at (0, 0), and goes through (2, negative 4).
a.
-9, -1, 0, -1, -9; Graph B
b.
9, 1, 0, 1, 9; Graph B
c.
9, 1, 0, 1, 9; Graph A
d.
-9, -1, 0, -1, -9; Graph A

Answers

Answer:

Step-by-step explanation:

ITS A

Answer:

The answer is C , Graph A

Step-by-step explanation:

timothy is planting a garden. Tulips cost $125 per bub. The total cost c of his gardening supplies is $1.25 per bub b plus $10 for a bag of mulch. What is the independent and dependent variables and the equation and solution!

Answers

Answer:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

Equation: c = $1.25b + $10

Timothy would spend: $20

Step-by-step explanation:

Total cost = c

Number of bub = b

✔️Total cost, c, is dependent on the number of bub, b.

Therefore:

Independent variable = number of bub (b)

Dependent variable = total cost (c)

✔️Equation that describes this situation can be written as:

c = $1.25b + $10

✔️If Timorhy buys 8 bubs, he would spend the following:

Substitute b = 8 into c = $1.25b + $10, and solve for c.

A square is cutting hair creating two equal triangles each triangle has an area of 0.32 cm what is the side length of the square in centimeters

Answers

Answer:

the lengt is 3.27cm

Step-by-step explanation:

its pretty hard to explain

Answer:

0.787400787

Step-by-step explanation:

Two equal triangles cut from a square are each .32cm so just multiply that by two and find the square root. Square root of .62 is 0.787400787

(っ◔◡◔)っ ♥ Hope It Helps ♥

2, en un curso de 37 estudiantes se proponen a elaborar un cohete con material reciclado, para poder hacer los cohetes, en el curso se cuenta con 151 tubos de cartón que se recolectaron en una jornada de reciclable. A: si para hacer un cohete se necesitan 4 tubos de cartón, ¿Hay suficientes tubos para que cada estudiante elabore su cohete?

Answers

Answer:

Yes, there enough tubes for each student to make their rocket.

Step-by-step explanation:

Given - In a course of 37 students they propose to make a rocket with recycled material, in order to make the rockets, in the course there are 151 cardboard tubes that were collected in a recyclable day.

To find - If 4 cardboard tubes are needed to make a rocket, are there enough tubes for each student to make their rocket ?

Proof -

Given that,

1 rocket is made with 4 cardboard tubes

Total cardboard tubes = 151

Now,

1 student will make 1 rocket

Total students = 37

⇒Total rockets made by the course = 37

Now,

1 rocket used 4 cardboard tubes

⇒37 rocket used 37×4 cardboard tubes

⇒37 rocket used 148 cardboard tubes.

148 < 151

⇒There are enough tubes for each student to make their rocket.

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Answers

Answer:

V = 612.3

Step-by-step explanation:

d = 6

r = 3

Volume of a cylinder:

V = πr²h

V = 3.14(3²)(20)

V = 3.14(9)(20)

V = 565.2

Volume of a cone:

V = πr²(h/3)

V = 3.14(3²)(5/3)

V = 3.14(9)(5/3)

V = 47.1

Combined:

565.2 + 47.1

612.3

x+2y+1=0,2x-3y-12=0 solve by substitution method

Answers

Answer:

Step-by-step explanation:

x=-1-2y

-2-4y-3y-12=0

-7y=14

y=-2

x=3

Which of these is a trinomial?
A. 2x^3 – 7y^3
В. 5xy
C. 2x - 7
D. x + 2y^2-7

Answers

Answer:

D. x + 2y² - 7

Step-by-step explanation:

it because it has 3 terms

Find the value of x.

Answers

Answer:

x = -7

Step-by-step explanation:

All triangle angles add up to 180

84 + x + 59 + x + 51 = 180

2x + 194 = 180

2x = 180 - 194

2x = -14

x = -7

Edge! 15 pts! PLEASE HURRY! Which is a diagonal through the interior of the cube?
A cube. The top face has points A, B, D, C. The bottom face has points E, F, H, G.
Side A H
Side B E
Side C H
Side F G

Answers

Answer:

Side AH

Step-by-step explanation:

he other 3 sides only go through one face of the cube

Answer:

s√3

Step-by-step explanation:

Draw in the diagonal of the base, which is the line freom G to F. If the side length of this cube is s, then the length of this diagonal is

d = √(s² + s²) = (√2)s.

Now draw in the diagonal of the cube: draw a line segment from G to B. We have already found that the length of the diagonal GF is d = s√2. Apply the Pythagorean Theorem to the triangle whose sides are s√2 and s:

diagonal of cube = square root of the sum of the squares of s√2 and s:

= √(2s² + s²)= √(3s²) = s√3

?? I need a step by step explanation, please

Answers

Answer:

( 4 , − 1 )

Step-by-step explanation:

y= (x + 3)(x + 5)

y= x^2 + 5x + 3x + 15

y= x^2 + 8x +15

3x + 7 = 5x
7 = 2x

What step would you take to get from 3x + 7 = 5x to get to 7 = 2x

Answers

Answer:

this goes with steps and answer

Step-by-step explanation:

hope this helped!

so you take the 3x and subtract it from the 5x getting your 2x. this leaving the 7 on the opposite side of the equal sign. therefore you are left with 7=2x. hope this helped:)

Ms. Cathy bought a package of pens. Out of every 10 pens, 6 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black?

Answers

Answer:

12/20 or 60%

Step-by-step explanation:

Other Questions

What are the benefits of biology? a liquid is in equilibrium with its vapor. if some of the vapor is allowed to escape, what effect, if any, is there on the condensation or vaporization rate? n a sale of goods for which there was a written offer and a written purported acceptance, if there is not a contract but the parties act as if there is, which of the following is true A- The terms contained in the offer governB- The terms contained in the purported acceptance become part of the contractC- All terms are supplied by the UCC default rulesD- Terms on which both writings agree become part of the contract What is the volume of a pyramid with a base area of a square and a height of a cube? How can predictive analytics improve performance measurement? . By increasing the organization's understanding of the key performance drivers that should be measured O By assisting in weighing different performance measures based on their relative importance O By enhancing the setting of performance targets O All answers are correct Give an example for each of the following energy conversion: (1) electrical energy to kinetic energy. (2) chemical energy to electrical energy Attachment: Baseline Budget Jan. Feb. March April May June July Aug. Sept. Oct. Nov. Dec. Total Children (rounded up 150 153 1561 159 162 164 166 1681 170 172 174 176 Employees (rounded up) 251 261 26 27 27 28 28 281 29 29 29 30 Labor Expenditures Training $6,250 $250 90 $250 $0 $250 SO SO $250 $0 90 $250 $7,500 Wages $68,000 $70,720 $70,720 $73,440 $73,440 $76,160 $76,160 $76,160 $78,880 $78,880 $78,880 $81,600 $903,040 Compensation for Director $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $3,000 $36,000 Social Security 54,760 $4,950 $4.950 $5,141 $5141 $5,331 $5,331 $5,331 $5,522 $5,522 $5522 $5,712 $63,213 Unemployment $5,440 $5,658 $5,658 $5,875 $5,875 $6,093 $6,093 $6,093 $6,310 S6,310 $6,310 $6,528 $72,243 Health Insurance $10,000 $10,400 $10,400 $10,800 $10,800 $11,200 $11,200 $11,200 $11,600 $11,600 $11,600 $12,000 $132,800 Service Expenditures Food $30,000 $20,600 $31,200 $31,800 $32,400 $32,800 $33,200 $33,600 $34,000 $34,400 $34,800 $25,200 $394,000 Supplies $15,000 $15,300 $15,600 $15,900 $16,200 $16,400 $16,600 $16,800 $17,000 $17,400 $17,60 $197,000 Equipment 0 $150 $150 $150 $150 $100 $100 $100 $100 $100 $100 $100 $1,300 Other Expenditures City Inspection Fee $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $25.00 $300 Total Expenditures $142,475 $141,053 $141,703 $146,381 $147,031 S151359 $151,709 $152,309 $156,687 $157,037 $157,637 $162015 $1,807 396 Revenues Fees from Parents $52,500 $53,550 $54,600 $55,650 $56,700 $57,400 $58,100 $58,800 $59,500 $60,200 $60,900 $61,600 $689,500 Union Contributions $33,750 $34,425 $35,100 $35,775 $36,450 $36.900 $37 350 $37,800 $38,250 $38,700 $39150 $29,600 $443,250 Startup Grant $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $25,000 $300,000 Total Revenues $111,250 $112,975 $114,700 $116,425 $118,150 $119,300 $120,450 $121,600 $122,750 $123,900 $125,050 $126,200 $1,432,750 Deficit ($31,225 ($28,078) ($27,003) ($29,956) ($28,881) ($32,059 ($31,259 ($30,709 ($33,937) ($33,137) ($32587) ($35,815) ($374,646 B G H K L Feb. 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What happens in Chapter 11 of Cry The Beloved Country? What type of cloud computing according to development models supports multiple organizations sharing computing resources that are part of a community? What kind of emotion is usually expressed in a haiku? new hampshire corp. has decided to issue three-year bonds denominated in 5 million russian rubles at par. the bonds have a coupon rate of 17 percent. if the ruble is expected to appreciate from its current level of $.03 to $.032, $.034, and $.035 in years 1, 2, and 3, respectively, what is the financing cost of these bonds? 1. The first step in writing a report is _____. (Select only one) creating the rough draft determining the report problem conducting research selecting an appropriate format What are the roles and responsibilities of the three branches of the government? How do you write a chronological summary? Select the correct answer from each drop-down menu. Consider the equation below. 2 ( 5 x + 8 ) = 14 + 6 x The equation was solved using the following steps. Step 1: 10 x 16 = 14 + 6 x Step 2: 16 x 16 = 14 Step 3: 16 x = 30 Step 4: x = 30 16 Step 5: x = 15 8 Complete the statements below with the process used to achieve steps 1-4. Step 1: -2 to 5x and 8. Step 2: 6x. Step 3: 16. Step 4: -16. I need help with this. environmental determinism ap human geography What are the 7 types of taxes?