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
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.
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Related Questions
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.
c = $1.25(8) + $10
c = $10 + $10
c = $20
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:
Can somebody help with question 5.
Answers
wxh/v=L
hope this help
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.
As
148 < 151
⇒There are enough tubes for each student to make their rocket.
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
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.
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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
?? 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
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:
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
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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
Write an expression that represents: 6 less than ⅓ times the sum of x and 4
Help please dont say I dont knoẁ and waste my points know or give something this is the second time I am asking this question
Answers
Answer:
(1/3-6) x (x+4)
Step-by-step explanation: Less than indicates you put the 1/3 first, giving you 1/3-6. Then you multiply that by x+4. Sum means additon! The X in the middle is a multiplacation symbol.
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]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].
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!
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
_______ samples are used to ensure representation from different types of subgroups in a population.
Answers
Answer:
d
Step-by-step explanation:
can i have brainliest
A triangle has angle measurements of 44 degrees,87 degrees, and 49 degrees. What kind of triangle is it? acute,right, and obtuse.
Answers
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
PLEASE HELP ANSWER CORRECTLY !!!!!!!!!!!!!! WILL MARK BRIANLIEST !!!!!!!!!!!!!!
Answers
Hello, hehelol12.
The length of PR is the same as TR.
Length of PR = 11.
The measure of angle PQR is the same as angle RST.
Measure of angle PQR = 39
I hope this helps you out!
PS. Brainliest would be appreciated. :)
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
What is the value of x?
Enter your answer in the box.
x =
Answers
Answer:
x = 4
Step-by-step explanation:
Let's find the length of JL as a first step. Knowing the result, we can easily find x.
|JL| 1
sin 30 degrees = ----------------- = --------
8√2 2
Then 2 |JL| = 8√2, or |JL| = 4√2
Next, find x: sin 45 degrees = x / |JL| = x / [4√2], and since sin 45 degrees is 1 / [√2],
1
x / [4√2] = -------- which results in x = 4
√2
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
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
y = 5x + 2
4x - y = 0
Is (2 , 12) a solution of the system?
Answers
Step-by-step explanation:
no , (2,12) only works for the 1st one
Answer:
Step-by-step explanation:
No
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 ♥
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:
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
What is the horizontal difference between (2, 4) and (-1, 0)?
Answers
Answer:
3
Step-by-step explanation:
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: