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
I need help please.Please
Answers
Answer:
Store A
Step-by-step explanation:
Store A
50/100=0.5
0.5×5=2.5
The watch will be 50-2.5=47.5
Store B
60/100=0.6
0.6×20=12
The watch will be 60-12=48
So the watch price in store A is better
Answer:
You should buy from Store A because you're paying $0.50 less than if you were to buy from Store B.
Step-by-step explanation:
First, don't subtract if it's a percentage. You will want to multiply to get the amount you're removing from the original price.
Let's look at Store A. $50 and 5% discount. 50 * 0.05 = 2.5. Remove 2.5 from 50.
50 - 2.5 = 47.5
When you buy from Store A, you will pay $47.5
Let's look at Store B. $60 and 20% discount. 60 * 0.20 = 12. Remove 12 from 60.
60 - 12 = 48
When you buy from Store B, you will pay $48
Ultimately, Store A is the best option because you're paying less.
One of the objectives for this lesson is to find the length of a curve using the z score.
True
False
Answers
Answer:
true
Step-by-step explanation:
Find the values of a and b so that the linear system has the given solution.
Given Solution: (2, 1)
Equation 1: ax - by'= 4
Equation 2: bx - ay = 10
Answers
Answer:
The values are a=6, b=8
Step-by-step explanation:
System of Equations
We are given the system of equations:
ax - by = 4
bx - ay = 10
And it's known the solutions are: x=2, y=1.
Plugging in the solutions:
2a - b = 4 [1]
2b - a = 10 [2]
Now we have to solve the system above. Multiply [1] by 2:
4a - 2b = 8
Now we add with [2]:
3a = 18
a = 18/3 = 6
a = 6
From [2]:
2b - 6 = 10
2b = 16
b = 16/2 = 8
b = 8
The values are a=6, b=8
CAN SOMEBODY PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
x-intercept=-2
y-intercept=3
Use the table below to answer the question.
Price Quantity Supplied of T-shirts Quantity Demanded of T-shirts
$5
0
300
$10
100
100
$25
300
50
$50
400
0
At the highest price of $50, producers supply _____ T-shirts and consumers demand _____T-shirts.
100, 100
0, 300
400, 0
Answers
Answer: 400,0
Step-by-step explanation:
I just took this on Ody
Mark paid $54.60 to fill his car's gas tank. The gas tank was empty and the cost of gasoline was $3.90 per gallon.
Answers
Mark’s gas tank will fill up with 14 gallons of gas.
A minor league baseball team has a member’s club. It costs $30 to join and $3 per ticket. Non-members pay $6 per ticket. How many tickets will it take for the cost to be the same?
Answers
Answer:
2 tickets
Step-by-step explanation:
because if a no member ticket is 6 dollars than than two 3 dollar tickets will equal 6 dollars
Subtracting Fractions with Unlike Denominators
5/6 - 2/3 =
4/6
1/2 - 1/3 =
0/16
7/8 - 1/4 =
2/8
11/12 - 2/3 =
4/12
3/4 - 2/3 =
1/12
5/8 - 1/2 =
5/8 - 4/8 =
1 - 2/3 =
5/8 - 1/5 =
5/9 - 1/4 =
1/3 - 1/7 =
4/5 - 3/7
Answers
Answer:
5/6-2/3=1/6
Step-by-step explanation:
You make the denominators the same. Like 5/6 and 2/3 you can make the fractions have the same denominator.
5/6-2/3 is the same as the equation 5/6-4/6 but simplified.
an amusement park sold 46 child tickets. The other 4 tickets it sold were adult tickets. What is the ratio of the number of adult tickets to the number of child tickets? Select all correct ratios
Answers
Answer:
2:46
1:23
Step-by-step explanation:
Jeff modeled the number of minutes that he read each day during the first week of the summer. The recursive function, f(x), can be used to determine the number of minutes that he had read after a certain number of days, where x represents the number of days. f(1) = 28 f(x) = f(x - 1) + 8 Use the recursive function to find the number of minutes that Jeff read after 3 days of summer.
Answers
9514 1404 393
Answer:
44 minutes
Step-by-step explanation:
We are given f(1) = 28.
Using the recursive formula ...
f(2) = f(1) +8 = 28 +8 = 36
f(3) = f(2) +8 = 36 +8 = 44
Jeff read 44 minutes after 3 days of summer.
3. Leeland can eat 1 hotdog in 20 minutes. What is his unit rate in hotdogs
per hour?
A 1/2 a hotdog per hour
B 1 hotdogs per hour
C 2 hotdogs per hour
D hotdogs per hour
Answers
Answer:
Hi how are you doing today Jasmine
Answer:
i think more then the awnsers that are givin or im just being a dummy
Step-by-step explanation:
equation of a line in slo[e-intercept form given the slope = 6 and it passes through the point (1, 8)
Answers
Answer:
math way
Step-by-step explanation:
Determine the quotient of 1 and 2 over 3 divided by 4 over 5 . (2 points)
1 and 1 over 3
1 and 8 over 15
2 and 1 over 12
2 and 5 over 6
Answers
Answer:
2 and 1 over 12
Step-by-step explanation:
[tex]1 \frac{2}{3} \div \frac{4}{5} \\ \\ = \frac{1 \times 3 + 2}{3} \div \frac{4}{5} \\ \\ = \frac{5}{3} \times \frac{5}{4} \\ \\ = \frac{25}{12} \\ \\ = 2 \frac{1}{12} \\ [/tex]
Which of these is an example of driving at an average rate of 20 miles per hour?
driving 10 miles in 2 hours
O driving 25 miles in 5 hours
O driving 15 miles in 5 hours
driving 40 miles in 2 hours
Answers
Answer:
driving 40 miles in 2 hours
Create the f(x) function based on the table. Answer should be in function notation
Answers
Answer:
It will be
f(x)=x+4
Which is the equation of a line that is perpendicular to the line
y
=
−
5
x
+
11
?
Answers
Answer:
y=1/5x
Step-by-step explanation:
hopefully that helped
factor the following
42x+28y
Answers
Answer:
To find the GCF, do the prime factorization of both numbers.
42 = 2 x 3 x 7
28 = 2 x 2 x 7
The GCF uses the numbers that appear in BOTH, 2 x 7 = 14 is the GCF of the numbers. There is no variable GCF because there isn't a variable that appears in both.
Taking out the GCF gives you:
14(3x + 2y)
Step-by-step explanation:
Answer:
14(3x + 2y)
Find the GCF.
It is 14.
Use the distributive property.
Then, multiply each term.
23) You are late for work. You have two options for getting to work. You may take the bus which takes on average 40 minutes with a standard deviation of 12 minutes. Or you can cycle which takes on average 50 minutes with a standard deviation of 2 minutes. Compare these two distributions.
You leave your house at 8.05 am and are supposed to start work at 9.00 am.
Which option would you choose if you will be fired if you are even a few minutes late?
Answers
Answer:
either of them because you wont be late because it only takes 52 minutes for both
Step-by-step explanation:
because
1 over 4 as a decimal
Answers
Hey there!
If you want to CONVERT a FRACTION INTO a DECIMAL , all you have to do is this SIMPLE step!
Which is to DIVIDE the NUMERATOR from the DENOMINATOR
The numerator is the TOP number
The denominator is the BOTTOM number
Now let’s solve for your answer
1/4 = 0.25 because 0.25 • 4 = 1
Answer: 0.25 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Please help me thank you I appreciate it
Answers
Answer:
73
Step-by-step explanation:
since it's a right angle it equals 90° and you already know there 17°. so you just subtract 90-17
You bike 11.2 miles in 1.4 hours at a steady rate what equation represents to proportional relationship between the X ours your bike in the distance y in miles that you travel
Answers
Please don't just copy and paste or click an answer! PLEASE READ! I spend 14 minutes and I at least want you to read it!
11.2 * 1.4 = 15.68
Mark me brainliest if you can!
(a) Find the Total profit function P(q).
(b) Find the first and second derivatives for P(q).
(c) Find the optimum production quantity to maximize profit.
Answers
Answer:
answer is c Find the optimum production quantity maximize profit
Find the equation of the tangent line to the function f(x) = 3x3 - x + 2 at a =0
Answers
Answer:
y=(9a^2-1)x-6a^3+2
Step-by-step explanation:
What is the scientific notation of 0.00802
Answers
Answer:
8.02 × 10-³
Step-by-step explanation:
(8x+1)÷5=3x-6
find x
Answers
Answer:
31/7
Step-by-step explanation:
8x+1 = 15x-30
31 = 7x
(31/7) = x
Answer:
8x + 1 =3x-6
--------
5
8x+1=15x-30
8x-15x= -30-1
-7x=-31
x=31
---
7
x=4.42
4x−2(x−4)=−3+4x+5 please I need help
Answers
Answer:
x=3
Step-by-step explanation:
4x−2(x−4)=−3+4x+5
4x+(−2)(x)+(−2)(−4)=−3+4x+5
4x+−2x+8=−3+4x+5
(4x+−2x)+(8)=(4x)+(−3+5)
2x+8=4x+2
2x+8−4x=4x+2−4x
−2x+8=2
−2x+8−8=2−8
−2x=−6
−2x /−2 = −6 /−2
x=3
A rectangle of area seven square centimetre is cut into three equel rectangle what is the area of each
Answers
7cm^2=2.33cm^2 for each rectangle
Jeremy can do 22 push ups in 4 days. At this rate how many push-ups can he do in 6 days
Answers
Answer:
I think it's
Step-by-step explanation:
22=4
c=6
132,=4c
c=132/4
c=33
Answer:132 push ups
Step-by-step explanation:
Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?
Answers
Answer:
X=1 = i√19 Put a vertical line through the second = sign
Step-by-step explanation:
when writing this .....put a line under all the + signs 0k and / is divided by 2
2 + √4-4(1)(20)
2 + √4-80 /2
x=2 +√76/2
x=2 +2i√19 the twos cancel out
1 +i√19
to compound 50% solution in which proportion must 95% sol and 30% sol be mixed to make
500 ml
Answers
Answer:
4/9
Step-by-step explanation:
Let the amount of 95% sol = a ml and
the amount of 30% sol = b ml.
So, the total amount of the compound=a+b=500 ml
As the compound is 50% solution, so
95% of a + 30% of b= 50% of (a+b)
(95/100)a+(30/100)b=(50/100)(a+b) [from equation (i)]
95a + 30b = 50(a+b)
95(a/b)+30 = 50(a+b)/b [dividing both sides by b]
95(a/b)+30 = 50(a/b+1)
95(a/b)+30 = 50(a/b)+50
95(a/b)-50(a/b)=50-30
45(a/b)=20
a/b=20/45
a/b=4/9
Therefore, a:b=4:9
As a+b= 500 ml, so the amount of 95% sol = [tex]\frac {500}{13}\times 4=\frac{2000}{13}=153.85[/tex] ml
and the amount of 95% sol = [tex]\frac {500}{13}\times 9=\frac{4500}{13}=346.15[/tex] ml
Hence, the proportion of 95% sol and 30% sol to make a compound of 50% sol must be 4/9.