Answers
Problem 1
Answers:
It costs 1.72 dollars to send a letter that is 1.5 ounces
It costs 1.72 dollars to send a letter that is 2 ounces
In short, both answers are 1.72 dollars
--------------------------------
Explanation:
The piecewise function may seem really ugly and complicated, and I can understand why many don't like them, but they aren't too bad once you get used to it.
A piecewise function is simply a collection of many functions glued together. Instead of listing four different functions, your teacher has combined them all into one super function of sorts.
Here are the rules for this function
If [tex]0 < w \le 1[/tex], then F(w) = 1.15If [tex]1 < w \le 2[/tex], then F(w) = 1.72If [tex]2 < w \le 3[/tex], then F(w) = 2.29If [tex]3 < w \le 3.5[/tex], then F(w) = 2.86As you can see, the definition of F(w) will change depending on what w is.
If the weight is w = 1.5 ounces, then we're on the interval [tex]1 < w \le 2[/tex] since 1.5 is between 1 and 2. So we go for the second definition shown above and we conclude that it will cost $1.72 to send this 1.5 ounce letter.
If you wanted, you could rewrite those four bulleted points into this equivalent form
If [tex]0 < w \le 1[/tex], then the cost is $1.15 to send the letterIf [tex]1 < w \le 2[/tex], then the cost is $1.72 to send the letterIf [tex]2 < w \le 3[/tex], then the cost is $2.29 to send the letterIf [tex]2 < w \le 3.5[/tex], then the cost is $2.86 to send the letterwhich is a less mathematical way of stating it. It might also help to make it into a chart, which would help customers better who may not want to deal with math.
A letter that's 2 ounces will cost $1.72 as well since w = 2 makes [tex]1 < w \le 2[/tex] true.
In short, both the 1.5 ounce and 2 ounce letters cost $1.72 each.
===========================================================
Problem 2
Answer: The graph is shown below (attached image)
--------------------------------
Explanation:
We have what is called a step function, or a staircase function. Either name will work. The graph consists of the horizontal portion of the stairs, but the vertical parts of the stairs are not drawn (or else we wouldn't have a function due to the vertical line test).
Note the placement of the open and closed endpoints. An open endpoint excludes the value in question, while a closed endpoint includes the value.
For instance, we have an open endpoint at (1, 1.72) while there's a closed endpoint at (1, 1.15). Each closed endpoint is directly connected to the "or equal to" portion of the inequality sign, and each open endpoint does not have the "or equal to" portion.
As the graph shows, we basically have the a certain flat cost for the four different regions. This corresponds to the costs given in the piecewise function. Each height is drawn from the list {1.15, 1.72, 2.29, 2.86}
The point labels of A,B,C,D,E,F,G,H are optional. I only put them in there to help identify which endpoints are open or closed. Points on the left side of each segment, or horizontal stair component, are open endpoints. Points on the right side are closed endpoints.
Related Questions
5 times the sum of 24 and 7
Answers
Answer:
Your answer should be 155!
Step-by-step explanation:
Sum means to add, so 24 + 7 = 31
31 x 5 = 155
I hope this helps!
A summation, also called a sum, is the result of arithmetically adding numbers or quantities. 155 is the answer for 5 times the sum of 24 and 7.
What is Sum?A summation, also called a sum, is the result of arithmetically adding numbers or quantities.
Given,
5 times the sum of 24 and 7
Sum is nothing but addition.
When we see the word sum it means we are adding some value with other factor. In the given problem 24 and 7 are added.
Times means multiplication.
We have to convert 5 times the sum of 24 and 7 to expression.
When we see times, it means product or we are multiplying a number with the other number. Here with 5 we are multiplying the sum of 24 and 7.
5×(24+7)
Firstly we calculate value in parenthesis.
twenty four plus seven is thirty one.
5×31
The product of 5 and 31 is 155.
155
Hence 155 is the answer for 5 times the sum of 24 and 7.
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Please help this is very important to my grade
Answers
Answer:
3, 6, 2.7( The is one I cannot see cuz of glare)
Step-by-step explanation:
Solve for 44.
4 4 = [?]
510
51
44/42
Answers
Angle 4 is an exterior angle which is equal to the sum of the two opposite inside angles.
The two opposite inside angles are given as 51 and 51
Angle 3 = 51 + 51 = 102 degrees.
Answer:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
Step-by-step explanation:
the sum of the interior angles of a triangle is 180°
thus our equation is
[tex] \displaystyle {51}^{ \circ} + {51}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
simplify addition:
[tex] \displaystyle {102}^{ \circ} + \angle2 = {180}^{ \circ} [/tex]
cancel 102° from both sides:
[tex] \displaystyle \angle2 = {72}^{ \circ} \cdots \text{I}[/tex]
By straight line theorem we acquire:
[tex] \displaystyle \angle4 + \angle2 = {180}^{ \circ} [/tex]
substitute:
[tex] \displaystyle \angle4 + {72}^{ \circ} = {180}^{ \circ} [/tex]
cancel 72° from both sides:
[tex] \displaystyle \angle4 = {108}^{ \circ} [/tex]
hence, the measure of [tex]\angle 4[/tex] is 108°
Rewrite log44=1 in exponential form.
Answers
Answer:
The exponential form of [tex]\log_{4} 4 = 1[/tex] is [tex]4 = 4^{1}[/tex].
Step-by-step explanation:
After some research in the web, we find that correct statement is:
Rewrite [tex]\log_{4} 4 = 1[/tex] in exponential form.
We obtain its exponential form by using the definition of logarithm:
[tex]4^{\log_{4} 4} = 4^{1}[/tex]
[tex]4 = 4^{1}[/tex]
Find the volume of the
triangular prism.
3.2 cm
9 cm
4.8 cm
Answers
Answer:
53.76 cm3
Step-By-Step Explanation
Rewrite the function f(x)=-4(x+3)2 – 2 in the form f(x) = ax²+bx+c.
음
Х
?
Recheck
Try again
Answers
Answer:
f(x) = -4x² - 24x - 38
Step-by-step explanation:
f(x )= -4(x + 3)² – 2
Expand the squared term
f(x) = -4 (x² + 6x + 9) - 2
Distribute the -4
f(x) = (-4x² - 24x - 36) - 2
Combine like terms
f(x) = -4x² - 24x - 38
If a =5 and b=3 what is the value of the 2a-3b+3a
Answers
Answer:
If a = 5 and b = 3, then that means 2a - 3b + 3a = 16
Step-by-step explanation:
2a - 3b + 3a
(2×5) - (3×3) + (3×5)
10 - 9 + 15 = 16
Gun rights vs. gun control: In a December 2014 report, "For the first time in more than two decades of Pew Research Center surveys, there is more support for gun rights than gun control." According to a Pew Research survey, 52% of Americans say that protecting gun rights is more important than controlling gun ownership. Gun rights advocates in a conservative city believe that the percentage is higher among city residents.
They survey 200 city residents and find that 130 say that protecting gun rights is more important than controlling gun ownership. What is the test statistic?
Z = -3.68
Z = 3.68
Z = -3.85
Z = 3.85
Answers
Answer:
The right answer is "z = 3.68".
Step-by-step explanation:
Given that,
p = 52%
or,
= 0.52
n = 200
[tex]\hat{p}= \frac{130}{200}[/tex]
[tex]= 0.65[/tex]
Now
The test statistic will be:
⇒ [tex]z=\frac{\hat{p}-p}{\sqrt{\frac{p(1-p)}{n} } }[/tex]
On substituting all the given values, we get
⇒ [tex]=\frac{0.65-0.52}{\sqrt{\frac{0.52(1-0.52)}{200} } }[/tex]
⇒ [tex]=\frac{0.13}\sqrt{{\frac{0.52\times 0.48}{200} }}[/tex]
⇒ [tex]=\frac{0.13}{\sqrt{0.001248} }[/tex]
⇒ [tex]=3.68[/tex]
Give a brief interpretation of your results in the context of this problem.
A. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.80.
B. The probability that this interval contains the true average weight of Allen's hummingbirds is 0.20.
C. The probability to the true average weight of Allen's hummingbirds is equal to the sample mean.
D. There is a 20% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Answers
Answer:
E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
Step-by-step explanation:
The correct option is - E. There is an 80% chance that the interval is one of the intervals containing the true average weight of Allen's hummingbirds in this region.
URGENT PLZ HELP
use the graph to write an equation of the line
Answers
If you are referring to the diagonal line on the graph but if your talking about the vertical line it would be y=0 I think and the horizontal line would be y=x I think
51
13
14
a) How many words (with or without any meaning) can be formed by arranging the
letters in the word MEDITERRANEAN?
How many words ?
Answers
Answer:
may be 13 I hope this is the right answer
HELP ME PLEASEEEEEEEEEEEE
Answers
Answer:
1080 in^2
Step-by-step explanation:
Answer:
180 in^2
Step-by-step explanation:
A 12" wide by 30" flag has the area A = (1/2)(base)(height) square inches, or 180 square inches.
Right Triangles
Solve the right triangle shown in the figure
∠C = 90°, BC = 7.50mi, AC = 11.43mi
a. AB = 19.5mi, ∠A = 31.2°, ∠B = 58.8°
b. AB = 16.mi, ∠A = 35.2°, ∠B = 54.8°
c. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
d. No triangle satisfies the given conditions.
Please select the best answer from the choices provided
Answers
Answer:
C. AB = 13.7mi, ∠A = 33.3°, ∠B = 56.7°
Step-by-step explanation:
I calculated it logically
CAN SOMEONE HELP ME PLEASE ASAP
Answers
Answer:for the permieter dont you just add both sides?
Step-by-step explanation:
plz help me this for my grade
Answers
Answer:
[tex]\text{Equation: }V=5\cdot 4\cdot 6,\\\text{Volume: }120\:\mathrm{in^3}[/tex]
Step-by-step explanation:
The volume of a rectangular prism is given by [tex]V=l\cdot w\cdot h[/tex].
Thus, we have the equation:
[tex]V=5\cdot 4\cdot 6[/tex]
Solving, we get:
[tex]V=5\cdot 4\cdot 6=\boxed{120\:\mathrm{in^3}}[/tex].
Answer:
120
Step-by-step explanation:
length time width time height
6 times 4 times 5
would be you equation the 120 would be your volume
A regression analysis was performed to determine the relationship between the costs of a product (y), the time to make the product (x1 ), the number of different materials used (x2), and the amount spent on marketing the product (x3). The estimated regression equation is ŷ = 83- 2x1+ 6x2 + 1.1x3.
What is the estimated cost if the time to make the product is 5 hours, the number of different materials used is 4, and the amount spent on marketing is $100?
a. 83
b. 213
c. 185.4
d. 205.
Answers
Answer:
D) 205
Step-by-step explanation:
Given : Cost = 83 - 2 (time taken) + 6 (materials) + 1.1 (marketing cost)
Relationship Equation : y = 83- 2x1+ 6x2 + 1.1x3
Given, time (x1) = 5 , materials (x2) = 4 , marketing cost (x3) = 100
So, putting values, Cost : y = 83 - 2 (5) + 6 (4) + 1.1 (100)
= 83 - 10 + 24 + 110 = 207
The closest to this calculated estimated figure ie 207, is 205.
Anthony surveys a group of students at his school about whether they play a
sport. This table shows the results broken down by gender.
Play a sport
Total
Do not play a
sport
105
70
175
Boys
Girls
75
50
125
Total
180
120
300
Are being a girl and playing a sport Independent events? Why or why not?
O A. Yes, they are independent, because P(girl) = 0.58 and Pgirl plays
a sport) = 0.6.
O B. Yes, they are independent, because (girl) = 0.42 and girl plays
a sport) - 0.42
O c. No, they are not independent, because P(girl) = 0.42 and
P(girl plays a sport) = 0.42.
D. Yes, they are independent, because (girl) = 0.58 and P(girl plays
a sport) = 0.58
Answers
Answer:
A is the answer it sounds more likely
For given data, being a girl and playing a sport are independent events as P(girl) = P(girl plays a sport) = 0.4.
What are independent events?"These are the events whose occurrence is not dependent on any other event.""When the probability of occurrence of an event A is not affected by the occurrence of another event B, then event A and event B are independent events."Formula for probability of independent events:"If A and B are independent events then, P(A∩B) = P(A).P(B)"
What is probability?"It is a branch of mathematics which deals with finding out the likelihood of the occurrence of an event."
Formula of the probability of an event A is:P(A) = n(A)/n(S)
where, n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.
For given question,
We have been given a table that shows the results broken down by gender.
Play sports Do not play sports Total
Boy 105 75 180
Girl 70 50 120
Total 175 125 300
Using the definition of probability:
⇒ P(girl) = Number of girls/ Number of students
⇒ P(girl) = 120/300
⇒ P(girl) = 0.4 ....................(1)
Now we find the probability of girls that play a sport.
Using the definition of probability:
P(girl plays a sport)
= Number of girls who plays a sport/ number of students who plays a sport
= 70/ 175
= 0.4 ......................(2)
From (1) and (2),
P(girl) = P(girl plays a sport)
Thus, being a girl and playing a sport are Independent events.
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This is the second one (I need to get to 80)
Answers
20×36= 720
5×15= 75
75+720= 795
the correct answer is 795 ><
In the triangle below, what is the length of the side opposite the 60° angle?
A. /3
B. 3/3
C. 6
D. 2/3
Answers
Step-by-step explanation:
[tex] \tan(60 \degree) = \frac{opposite}{3} \\ opposite = 3 \tan(60 \degree) \\ = 3 \sqrt{3} [/tex]
Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.Use the edit icon to pin, add or delete clips.Welcome to Gboard clipboard, any text you copy will be saved here.
Answers
The table shows the number of hours Marcus worked each week and his pay for the week. How much did Marcus earn per hour?
Answers
Answer:
$8.5 per hours
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
Answer:
8.5
Step-by-step explanation:
102/12=8.5
119/14=8.5
136/16=8.5
153/18=8.5
The area of a rectangle is 99 ft”, and the length of the rectangle is 7 ft more than twice the width. Find the dimensions of the rectangle
Answers
Answer: Width = 5.5ft
Length = 18ft
Step-by-step explanation:
Let the width of the rectangle be x
Since the length of the rectangle is 7 ft more than twice the width. This mean that the length will be:
= (2 × x) + 7 = 2x + 7.
Therefore, length × width = area
x × (2x + 7) = 99
2x² + 7x = 99
2x² + 7x - 99 = 0
2x² + 18x - 11x - 99 = 0
2x(x + 9) - 11(x + 9) = 0
(2x - 11) = 0
2x = 0 + 11
2x = 11
x = 11/2
x = 5.5
The width is 5.5ft
Length = 2x + 7 = 2(5.5) + 7 = 11+7 = 18ft
Kasey has been mowing lawns to save up money for a concert. He earns $15 per hour and needs at least $90 to go to the concert. How many hours should he mow? Write an inequality (with variable) to solve it.
Answers
Answer:
he makes 15 dollars in an hr, so find how much 15 dollars goes into 90. 90 divide 15 = 6. therfore, kasey needs to work for 6 hours to make 90 dollars
xy^-3 is equivalent to ______
Answers
Answer:
xy3 your welcome tell me if I got it right ✅
what is 75 as a fraction of 125? give your answer in its simplest form.
Answers
75 as a fraction of 125 would be 75/125
Now Lets simplify
75/25=3
125/25=5
We get 3/5
We can not reduce 3/5 anymore, so the answer is 3/5
A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25. 75 is 3/5 fraction of 125.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Let 75 be x fraction of 125. Therefore, we can write the statement as,
x × 125 = 75
x = 75/125
x = 3 /5
Hence, 75 is 3/5 fraction of 125.
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In the figure shown above, all the corners form right angles. What is the area of the figure in square units?
Answers
9514 1404 393
Answer:
70 square units
Step-by-step explanation:
The overall outline is 15 units wide and 8 units high, for an area of ...
A = WH
A = (15 units)(8 units) = 120 units²
__
The white space taken out of that overall area is 5 units high and 15-4-1 = 10 units wide. The area of the white space is ...
A = (5 units)(10 units) = 50 units²
__
The shaded area is the difference between the overall area and the white space taken out:
shaded = 120 units² -50 units² = 70 units²
5x - 2y = 15
2x + 4y = 12
Select the solution to the system from the options below:
Answers
Answer:
7/2, 5/4
Step-by-step explanation:
Answer:
x = 7/2 and y = 5/4
Step-by-step explanation:
2(5x - 2y = 15)
2x + 4y = 12
10x - 4y = 30
2x + 4y = 12 (add)
-----------------
12x = 42
x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]
2x + 4y = 12 (subsitute)
2([tex]\frac{7}{2}[/tex]) + 4y = 12
7 + 4y = 12
4y = 5
y = [tex]\frac{5}{4}[/tex]
44 points
No links, No silly answers, only thought-out answers.
Simplify the expression.
16(12x)4
The simplified expression is______________.
Please answer with No links, No silly answers, only thought-out answers by 7:30, and it will increase the chance of me not reporting you and picking you as brain list
Answers
Answer:
I believe the answer is 64 x 12x
Step-by-step explanation:
16(12x)4 =
16 x 4(12x)
64 x 12x
A quarter has a mass of 0.006 kilograms. What place value is the six in this
number?
Answers
Answer:
It is in the thousandths place
Step-by-step explanation:
The first number after the decimal is the tenths place. 0.006
The second number after the decimal is the hundredths place. 0.006
The third number after the decimal is the thousandths place. 0,006
Hope this helps!
-4(y - 2) = 12
y = ?
Answers
Answer:
Hello! answer: -1
Hope that helps!