Answers
Answer:
a) The slope of the function is 3.
c) The equation is represented by [tex]n(t) = 3\cdot t + 35[/tex].
d) The y-intercept of the function is 35.
Step-by-step explanation:
a) According to the statement, we must assume that number of pieces of mail that must be hand-sorted (dependent variable) is represented by a linear function in terms of time (independent variable). That is:
[tex]n(t) = m\cdot t + n_{o}[/tex] (1)
Where:
[tex]m[/tex] - Slope, measured in number of pieces per minute.
[tex]t[/tex] - Time, measured in minutes.
[tex]n_{o}[/tex] - Initial number of pieces of mail that must be hand-sorted (y-intercept), measured in pieces.
[tex]n[/tex] - Current number of pieces of mail that must be hand-sorted, measured in pieces.
From Geometry, we know that a line can be formed by know two distinct points. If we know that [tex]n(15\,min) = 80\,p[/tex] and [tex]n(45\,min) = 170\,p[/tex], then the following system of linear equations is formed:
[tex]15\cdot m + n_{o} = 80[/tex] (2)
[tex]45\cdot m + n_{o} = 170[/tex] (3)
The solution of the system of equations is:
[tex]m = 3[/tex] and [tex]n_{o} = 35[/tex]
The slope of the function is 3.
c) By (1) and using results from a) we conclude that the equation function is:
[tex]n(t) = 3\cdot t + 35[/tex] (4)
d) The y-intercept of the function is 35.
Related Questions
Determine if the correlation between the two given variables is likely to be positive or negative, or if they are not likely to display a linear relationship. The retail price of a particular smartphone and the number of units sold at that price
Answers
Answer:
no correlation
Step-by-step explanation:
The price of the smartphone is fixed beforehand, therefore price does not depend upon the number of units sold.
Hence, there is no correlation between the two given variables.
Hence, no correlation would be the answer.
PLEASE HELP!!!!!!
Solve the following system of equations using elimination.
5x+y=24
-5x-4y=-56
Answers
Answer:
x = 8/3 and y = 32/3
Step-by-step explanation:
Add the two equations, getting -3y = -32, thus y = 32/3
Sub for y in first equation, getting 5x + 32/3 = 24
5x = 40/3
x = 8/3
16y5+4y5-12y3+15y3?
What is the simplified form?
Answers
Answer:
[tex]20y^5+3y^3[/tex]
Step-by-step explanation:
[tex]16y^5 + 4y^5 -12y^3 + 15y^3[/tex]
All we can do here is combine like terms (add those that have the same the same exponent)
[tex]20y^5+3y^3[/tex]
Good luck!
Answer:
[tex]20y^{5} +3y^{3}[/tex]
Step-by-step explanation:
[tex]16y^{5} +4y^{5} =20y^{5}[/tex] and [tex]-12y^{3} +15y^{3} =3y^{3}[/tex]
So [tex]20y^{5} +3y^{3}[/tex]
Is it SSS or SAS. Please helpp
Answers
The correct answer is: SSS
1. Change the following into 12 hour clock time
a) 1720 hours. b)0235 hours
Answers
Answer:
A) 5:20 pm
B) 2:35 am
Step-by-step explanation:
The hours in am are from 00:00 - 12:00, the numbers after 12 for example 17, you subtract 12 and the remaining is the hours and what is left of the number for example 20 is the minutes.
I am horrible at explaining but I hope this helps... :)
Answer:
a) 5:20
b) 2:35
Step-by-step explanation:
a) Subtract 12 from the 17 at the beginning of 1720, leaving you with 5. This is the hour component of standard time, and will be placed on the left side of the colon (5:__). Then, put the last two digits onto the other side of the colon in standard time like so: 5:20.
b) For this one, because the first two digits don't exceed twelve, you simply have to divide the first two digits from the last two digits and put a colon between them: 02:35, or 2:35.
Of 15 possible books, you plan to take 7 with you on vacation. How many different collections of 7 books can you take?
Answers
I feel like 1 piece of information is missing
Like how much in a collection?
The number of collections of 7 books can you take is 1685.
What is Algebra?
Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
We are given that;
Total books= 15
n = 15 (the number of possible books) and r = 7 (the number of books to be taken).
Now,
To find the number of different collections of 7 books, we can use the formula for combinations. Combinations are ways of selecting items from a collection, such that the order of selection does not matter.
The formula for combinations is:
nCr = n! / (r! (n - r)!)
where n is the number of items in the collection, r is the number of items to be selected, and ! is the factorial operator.
We can plug these values into the formula:
15C7 = 15! / (7! (15 - 7)!)
= 15! / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9 x 8!) / (7! 8!)
= (15 x 14 x 13 x 12 x 11 x 10 x 9) / (7 x 6 x 5 x 4 x 3 x 2 x 1)
= (6435 x 1320) / (5040)
= 8491770 / 5040
= 1685.25
Since we cannot have a fraction of a collection, we round down to get the final answer:
15C7 = 1685
Therefor, by algebra the answer will be 1685.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ2
Marc wants to know if the mean age of the prison population in his city is less than 26 years. He obtains a random sample of 25 prisoners, and finds a mean age of 24.4 years and a standard deviation of 9.2 years. Ata significance level of 0.05, what is his conclusion?
Answers
Answer:
gsgsbsbsbs
Step-by-step explanation:
yewhsgshdhhssjbs
Martina used 3/4 of a bottle of conditioner in 7/12 of a year. How much conditioner would she use in a full year
Answers
Step-by-step explanation:
7 months = 3/4
1 month = 3/4 ÷ 7
= 3/28
12 months / 1 year = 3/28 x 12
= 9/7
not sure if its correct
Answer: 1 2/7
trust me it just worked for me on IXL
Terri spent $4.75 on candy,
$1 on soda, and $8.20 on a
ticket. If Terri paid with a
$20 bill, how much money
did she have left
Answers
Answer:
Step-by-step explanation:
$4.75+1+$8.20= $13.95
$20.00 - $13.95 = $6.05
Answer:
$6.05
Step-by-step explanation:
candy - $4.75
soda - $1
ticket - $8.20
4.75 + 1 + 8.20
$13.95
bill - $20
20 - 13.95
$6.05
Which expression is represented by the set of algebra tiles below?
O x+6
O x-6
O 6-X
O 6x- 1
Answers
Answer:
The answer is B
Step-by-step explanation:
Lol I just had this same question on edge 2021 (◕‿◕✿)
Answer:
It Is B, x-6.
Step-by-step explanation:
I Just Did The Unit Test Review (ﾉ◕ヮ◕)ﾉ*.✧
For an acute angle θ, the equation sin(θ)=cos(6) is true. What is the value of θ? Show or explain your answer
Answers
Answer:
(θ) = 84°
Step-by-step explanation:
Given:
sin(θ)=cos(6)
Find:
value of θ
Computation:
sin(θ)=cos(6)
We know that
cos(90-a) = sin(a)
So,
sin(θ)=cos(90-84)
sin(θ)=sin(84)
So,
(θ) = 84°
The value of (θ) = 84°
Given that,
The equation is sin(θ)=cos(6)Based on the above information, the calculation is as follows:
sin(θ)=cos(6)
We know that
cos(90-a) = sin(a)
So,
sin(θ)=cos(90-84)
sin(θ)=sin(84)
So,
(θ) = 84°
Learn more: https://brainly.com/question/6789603?referrer=searchResults
What is the reason for each step in the solution of the inequality?
700 + 16 < -5(4 – 5x)
Match the reason with the correct step in the inequality.
Answers
simplify the expression
4.2v - 5 -6.5v =
Answers
Answer:
-5 - 2.3v
Step-by-step explanation:
You want to combine like terms and since two of the numbers have variables, then you can add them both together
4.2v - 6.5 v = -2.3 v
So... -5 - 2.3v or
-2.3v - 5
either or there both same
Hope this helped!
I need the answer ASAP! Please help me!
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
Determining the length of BC
From the diagram, it is clear that
The point B is located at (-8, 10) and point C is located at (8, 10)Since points A and C are located on a horizontal straight line. Thus, the length of BC can be determined by counting the x-axis units from reaching x = -8 to x = 8. i.e. 8-(-8) = 8+8 = 16
Thus, the length of BC = 16 units
Determining the length of CD
Given
C (8, 10) D (2, -2)The distance between C(8, 10) and D(2, -2)
[tex]\mathrm{Compute\:the\:distance\:between\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]
[tex]CD=\sqrt{\left(2-8\right)^2+\left(-2-10\right)^2}[/tex]
[tex]=\sqrt{6^2+12^2}[/tex]
[tex]=\sqrt{36+144}[/tex]
[tex]=\sqrt{180}[/tex]
[tex]=\sqrt{36\times 5}[/tex]
[tex]=6\sqrt{5}[/tex]
Thus, the length of CD [tex]=6\sqrt{5}[/tex] units
Determining the length of ED
Given
E (-8, -4) D (2, -2)The distance between E(-8, -4) and D(2, -2)
[tex]ED=\sqrt{\left(2-\left(-8\right)\right)^2+\left(-2-\left(-4\right)\right)^2}[/tex]
[tex]=\sqrt{10^2+2^2}[/tex]
[tex]=\sqrt{100+4}[/tex]
[tex]=\sqrt{104}[/tex]
[tex]=\sqrt{26\times \:4}[/tex]
[tex]=2\sqrt{26}[/tex]
Thus, the length of ED [tex]=2\sqrt{26}[/tex] units
Determining the length of EB
From the diagram, it is clear that
The point E is located at (-8, -4) and the point B is located at (-8, 10)Since points E and B are located on a vertical straight line. Thus, the length of EB can be determined by counting the y-axis units from reaching y = -4 to y = 10. i.e. 10-(-4) = 10+4 = 14
Thus, the length of EB = 14 units
PLEASE HELPPPPPPPPP! 44 POINTS
Answers
Answer:
#6-
1. 9x30=(9x10)+(9x10)+(9x10)
2. 9x30=9(10+10+10)
3. 9x30=270
#7-
1. 7x50=7x(10+10+10+10+10)
2. 7x50=7x(25+25)
3. 7x50=350
#8-
1. 2x90=(2x45)+(2x45)
2. 2x90=90+90
3. 2x90=180
Step-by-step explanation:
Hope this helps!
Mrs. Browning bought ice cream treats for 6 children. Each child picked either a sundae or a milkshake. The sundaes cost $2 each and the milkshakes cost $5 each. If Mrs. Browning spent a total of $21, how many of each type of treat did she buy?
Please help me please !!!
Answers
Answer:
3 milkshakes and 3 sundaes
Step-by-step explanation:
3 * 5 = $15 + 3 * 2 = $21
6. An ice cream costs 15 more than a cold drink. If the cost of
buying 5 ice creams is 125, find the price of a cold drink.
Answers
Answer:
The price of a cold drink is 10 dollars.
Step-by-step explanation:
We can use proportion.
[tex] \frac{5 \: ice \: creams}{125 \: dollars} = \frac{1 \: ice \: cream}{x} \\ \\ \frac{5x}{5} = \frac{125}{5} \\ \\ x = 25[/tex]
So we found out that one ice-cream costs $25.00.
The statement said, "An ice cream costs 15 more than a cold drink"
In other words, A cold drink costs 15 dollars less than an ice cream.
So we would subtract.
[tex]25 - 15 = 10[/tex]
So a cold drink costs $10.00.
There are 60 seconds in a minute use a tape diagram to find the total number of seconds in 5 minutes and 45 seconds
Answers
60 x 5 + 45 = 345 Seconds
Amplitude: 6 Period: 44
Phase shift:
Answers
Step-by-step explanation:
provide more details, please
The temperature is 15º and is expected to fall 2º each hour during the night. write the linear equation
Answers
Answer:
y = 15 - 2x
Step-by-step explanation:
The starting temp is 15, and we expect it to fall 2 degrees each night. We substitute x and y, y = total temp at the end of the examined time period, x = number of hours.
Please give me thanks by clicking the heart button! :)
Answer:
15 - 2(x)
x = hours
Step-by-step explanation:
The happy apple farm has 560 apple trees. Each apple tree has 169 apples. How many apples are on all the trees together?
Answers
Answer:94,
Step-by-step explanation:
PLEASE HELP!
Find the real or imaginary solutions of the following equation by factoring.
y^3 + 27 = 0
Answers
Answer:
-31.5(1 + i√3)1.5(1 - i√3)Step-by-step explanation:
y³ + 27 = 0(y + 3)(y² - 3y + 9) = 01. y + 3 = 0 ⇒
y = -32. y² - 3y + 9 = 0
y = (3 ±√(3² -4*9))/2y = (3 ± √-27)/2y = (3 ± i√27)/2y = 3/2(1 ± i√3)y = 1.5(1 ± i√3)Answer:
Do u still need the answer?
Step-by-step explanation:
Find the it out 12 divided by 3/5. 12 divided by 2/25. 8divided by 1/7. 12divided by 1/5
Answers
Answer:
Step-by-step explanation:
1. 20
2. 150
3. 56
4. 60
hope this helps. i am in algebra two so you can trust my answers. happy holidays and stay safe
PLEAS PLEAS PLEAS HELP ME!!!!!!!!!!!!!!!
The Garcias are on their way to the beach. They are traveling at
a rate of 30 miles per hour. Use the ordered pairs to graph the
distance traveled over time.
Answers
Answer:
draw a line for the plotted points and put an arrow at the end, see my answer
Step-by-step explanation:
please click the heart button to give thanks for my work! :)
What is the magnitude of the vector shown?
5
13
radical 5
radical 13
Answers
Answer:
D on edge
Step-by-step explanation:
radical 13
In an animal shelter, the ratio of dogs to cats is 5 to 3. There are 25 dogs. Write and solve a proportion to find the number of cats.
Ο 18
Ο 21
Ο Ο Ο Ο
Ο 15
Ο 16
Answers
Have a good day!
Answer:
15 cats
proportion 3x : 5x
in this case x= 5
Step-by-step explanation:
divide 25 by 5
=5
now you know the factor is 5
multiple 3 by 5
=15
Please help answer the first 5 boxes for brainslt
> for brainslt
Answers
Step-by-step explanation:
5 points is too small for this..
I need help please I have to finish this
Answers
Answer:
We want to get y and x such that it satisfices all geometric relations:
3y=87
y=87/3 = 29 degree
Hence y= 29 degree
Two parallel lines tell us that 87=3x such that x=29
Step-by-step explanation:
Find the perimeter of image below. 42 square units, 52 square units, 56 square units, 44 square units
Answers
Answer:
194 square units
Step-by-step explanation:
perimeter is the measurement of the distance surrounding a shape. There fore, the perimeter of the shape is: 42+53+56+44=194 square units
Pleaseeee help me I need help reallly bad
Answers
10. Matches with 5
11. Matches with 64
12. Matches with 32
Explanation:
9. Insert the numbers that equal the variables from the top of the page.
7-3/4 = 1
10. 3^2 - 2^2
9 - 4 = 5
11. 4(8)(2) = 64
12. (8)^2 - 4(4)(2)
64 - 32 = 32
