PLS HELP Which function has the same slope as the graph of the function represented by the table.
Answers
The slope of the given function is 0.25. The function that has the same slope is y = 0.25x + 5. Option B is the correct option.
What is a function?
A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Given table is
x 0 1 2 3
y -0.5 -0.25 0 0.25
The slope of a function that passes through the points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁)
Assume that x₁ = 0, y₁ = -0.5, x₂ = 1, y₂ = -0.25
The slope of the function is [-0.25 - (-0.50)]/(1 - 0) = 0.25
Now compare the equation y = -0.25x - 2 with y = mx + c
m = -0.25
The slope of the function is -0.25.
Now compare the equation y = 0.25x + 5 with y = mx + c
m = 0.25
The slope of the function is 0.25.
Now compare the equation y = 4x - 5 with y = mx + c
m = 4
The slope of the function is 4.
Now compare the equation y = -4x + 34 with y = mx + c
m = -4
The slope of the function is -4.
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Related Questions
What is the factored form of x² + 6x + 8?
O(x + 5)(x + 3)
O(x + 4)(x + 2)
O(x + 7)(x + 1)
O(x + 3)(x + 3)
Answers
The factored form of the equation x² + 6x + 8 is (x + 4) (x + 2), that is, option B.
Here, we are given a quadratic equation x² + 6x + 8
We can factorize this equation using the splitting the middle term method.
Here the coefficient of x is 6, hence, we need to spilt 6 in such a manner that the product of the split terms is 8.
6 can be written as 4 + 2 and we can see that 4 × 2 = 8
Hence, we can write the given equation as-
x² + 4x + 2x + 8
= x (x + 4) + 2 (x + 4)
= (x + 4) (x + 2)
Hence, the factored form of the equation x² + 6x + 8 comes out to be (x + 4) (x + 2), that is, option B.
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C-12.1 Binomial coefficients are a family of positive integers that have a number of useful properties and they can be defined in several ways. One way to define them is as an indexed recursive function, C(n, k), where the "C" stands for "choice" or "combinations." In this case, the definition is as follows: C(n, 0) = 1, C(n, n)=1, and, for 0
Answers
Answer:
Step-by-step explanation:
a)
If we implement the combinations recursively without memoization, then the running time would be exponential in n.
Time Complexity:
If we implement this equation literally, as a recursive program, then the running
time of our algorithm without using memoization, T(n), as a function of n, has the following behavior:
T(0) = 1
T(1) = 1
T(n) = T(n − 1) + T(n − 2).
But this implies that
T(n) ≥ 2T(n − 2) = 2^(n/2).
b)
But if we store the combinations in an array, C[][], then we can instead calculate the combinations, C(n,k), iteratively, as follows:
C[0,0] = 0
C[1,1] = 1
for i = 2 to n do
C[n,k] = C[n-1, i−1] + C[n-1,k]
This algorithm clearly runs in O(n) time, and it illustrates the way memoization
can lead to improved performance when subproblems overlap and we use table
lookups to avoid repeating recursive calls.
volume of tetrahedron write six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 6x 3y 2z
Answers
The six different iterated triple integrals for the volume of the tetrahedron cut from the first octant by the plane 6x + 3y+ 2z = 8 are ,
dxdydz : 8-2z 8-3y-2z dydxdz : 8-2z 8-6x-2zdxdzdy : 8-4y 8-3y-2zdzdxdy : 8-3y 8-6x-3ydydzdx : 8-6x-2zdzdydx : 8-6x-3yTriple integrals are functionally equivalent to double integrals. Triple integrals can be converted into iterated integrals.
The only trick, as with double integrals, is determining the limits on the iterated integrals. (Drawing in three dimensions is more difficult.)
The triple integral represents W's actual mass. Triple integrals are iterated functions with three variables. Triple integrals are iterated functions with three variables. We are now integrating our function over a three-dimensional figure with volume, rather than a given area.
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let p and q be distinct primes. (1) prove that (z/(pq))× has order (p − 1)(q − 1);
Answers
The order of a in (z/(pq))× is exactly (p-1)(q-1), as desired.
To prove that (z/(pq))× has order (p − 1)(q − 1), we need to show that the least positive integer n such that (z/(pq))×n = 1 is (p − 1)(q − 1).
First, let's define (z/(pq))× as the set of all integers a such that gcd(a,pq) = 1 (i.e., a is relatively prime to pq) and a mod pq is also relatively prime to pq.
Now, we know that the order of an element a in a group is the smallest positive integer n such that a^n = 1. Therefore, we need to find the order of an arbitrary element a in (z/(pq))×.
Let's assume that a is an arbitrary element in (z/(pq))×. Since gcd(a,pq) = 1, we know that a has a multiplicative inverse modulo pq, denoted by a^-1. Therefore, we can write:
a * a^-1 ≡ 1 (mod pq)
Now, let's consider the order of a. Since gcd(a,pq) = 1, we know that a^(p-1) is congruent to 1 modulo p by Fermat's Little Theorem. Similarly, we can show that a^(q-1) is congruent to 1 modulo q. Therefore, we have:
a^(p-1) ≡ 1 (mod p)
a^(q-1) ≡ 1 (mod q)
Now, we can use the Chinese Remainder Theorem to combine these congruences and get:
a^(p-1)(q-1) ≡ 1 (mod pq)
Therefore, we know that the order of a must divide (p-1)(q-1).
To show that the order of a is exactly (p-1)(q-1), we need to show that a^k is not congruent to 1 modulo pq for any positive integer k such that 1 ≤ k < (p-1)(q-1).
Assume for contradiction that there exists such a k. Then, we have:
a^k ≡ 1 (mod pq)
This means that a^k is a multiple of pq, which implies that gcd(a^k, pq) ≥ pq. However, since gcd(a,pq) = 1, we know that gcd(a^k, pq) = gcd(a,pq)^k = 1. This is a contradiction, and therefore our assumption must be false.
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The order of a in (z/(pq))× is exactly (p-1)(q-1), as desired.
To prove that (z/(pq))× has order (p − 1)(q − 1), we need to show that the least positive integer n such that (z/(pq))×n = 1 is (p − 1)(q − 1).
First, let's define (z/(pq))× as the set of all integers a such that gcd(a,pq) = 1 (i.e., a is relatively prime to pq) and a mod pq is also relatively prime to pq.
Now, we know that the order of an element a in a group is the smallest positive integer n such that a^n = 1. Therefore, we need to find the order of an arbitrary element a in (z/(pq))×.
Let's assume that a is an arbitrary element in (z/(pq))×. Since gcd(a,pq) = 1, we know that a has a multiplicative inverse modulo pq, denoted by a^-1. Therefore, we can write:
a * a^-1 ≡ 1 (mod pq)
Now, let's consider the order of a. Since gcd(a,pq) = 1, we know that a^(p-1) is congruent to 1 modulo p by Fermat's Little Theorem. Similarly, we can show that a^(q-1) is congruent to 1 modulo q. Therefore, we have:
a^(p-1) ≡ 1 (mod p)
a^(q-1) ≡ 1 (mod q)
Now, we can use the Chinese Remainder Theorem to combine these congruences and get:
a^(p-1)(q-1) ≡ 1 (mod pq)
Therefore, we know that the order of a must divide (p-1)(q-1).
To show that the order of a is exactly (p-1)(q-1), we need to show that a^k is not congruent to 1 modulo pq for any positive integer k such that 1 ≤ k < (p-1)(q-1).
Assume for contradiction that there exists such a k. Then, we have:
a^k ≡ 1 (mod pq)
This means that a^k is a multiple of pq, which implies that gcd(a^k, pq) ≥ pq. However, since gcd(a,pq) = 1, we know that gcd(a^k, pq) = gcd(a,pq)^k = 1. This is a contradiction, and therefore our assumption must be false.
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Step 1: we know that angle t s r is-congruent-to angle q r s because all right angles are congruent. step 2: we know that angle t is-congruent-to angle q because it is given. step 3: we know that line segment s r is-congruent-to line segment r s because of the reflexive property. step 4: triangle t s r is-congruent-to triangle q r s because of the asa congruence theorem. of the aas congruence theorem. of the third angle theorem. all right triangles are congruent.
Answers
With the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
What is the congruency of triangles?Two triangles are said to be congruent if all three corresponding sides and all three corresponding angles have the same size.
These triangles can be moved, turned, flipped, and rotated to produce the same appearance.
When moved, they are parallel to one another.
So, we have two sets of angles and one common side.
Review the congruence situations.
SSS ⇒ Three sides in the first, three sides in the second.
SAS: two sides, including the angle of the first side.
Incorporating angle in the second.
2 angles and the side that joins them in the first, according to ASA
Two angles and the side that connects the two angles.
AAS = 2 angles in the first triangle, plus 1 side.
Second, and one side in △.
Let's read the statements again and fill in the blanks.
Step 1: Since all right angles are congruent, mTSR = mQRS = 90°.
Step 2: Since it is given, mT = mQ
Step 3: Due to the reflexive property, SR becomes RS (common side)
Step 4: Because of the AAS congruence theorem, TSR and QRS are required.
Therefore, with the help of congruency of triangles rules, we know that TSR ≅ QRS because of (B) the AAS congruence theorem.
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The correct form of a question:
Given: TSR and QRS are right angles; T ≅ Q
Prove: TSR ≅ QRS
Step 1: We know that TSR ≅ QRS because all right angles are congruent.
Step 2: We know that T ≅ Q because it is given.
Step 3: We know that SR ≅ RS is because of the reflexive property.
Step 4: TSR ≅ QRS because __________
a. of the ASA congruence theorem
b. of the AAS congruence theorem
c. of the third angel theorem
d. all right triangles are congruent
what are three different whole numbers whose sum and product are equal
Answers
Three different whole numbers whose sum and product are equal are 1, 2, and 3.
1 + 2 + 3 = 6
1 x 2 x 3 = 6
As demonstrated above, the sum and product of 1, 2, and 3 is the same.
Hope this helps!! :)
Answer:
1 2 and 3
Step-by-step explanation:
17. A person is looking at a boat on the water. The angle of depression from the person's eyes to the boat is 20 degrees. If the person's eyes are 1.5 meters above the water level, how far is the boat from the person?
A) 4.5 meters
C) 6 meters
B) 5 meters
D) 7.5 meters
Answers
Step-by-step explanation:
I will assume you want the horizontal distance to the boat rather than the distance from the eyes to the boat
tan 20 = opposite leg / adjacent leg
tan 20 = 1.5 m / d
d = 4.12 m <====== I suppose answer 'A' is the closest answer
Simplify the radical expression.
√16x^2
Answers
Answer:
4x
Step-by-step explanation:
The square root of 16 is 4 because 4 times itself is 16.
The square root of x^2 is x because x times itself is x^2.
-8 with power -2/3 iam so confused either answer will be positive or negative? Give solution please hurry up.....
Answers
Answer:
\(\frac{1}{4}\)
Step-by-step explanation:
Using the rule of exponents / radicals
\(a^{\frac{m}{n} }\) = \((\sqrt[n]{a})^m\)
\(a^{-m}\) = \(\frac{1}{a^{m} }\) , then
\(-8^{-\frac{2}{3} }\)
= \(\frac{1}{-8^{\frac{2}{3} } }\)
= \(\frac{1}{(\sqrt[3]{-8})^2 }\)
= \(\frac{1}{-2)^{2} }\)
= \(\frac{1}{4}\)
Help please give a detailed answer!
Answers
D = st
D = 2000 miles
T = 5 hours
to find speed,r = 2000/5 = r
move 5 to RHS, equation becomes
2000 = 5r
Describe how you would find
the volume of a solid figure
with a length of 8 inches, a
width of 5 inches, and a height
lof 3 inches.
Please help me!
I need a answer ASAP!
And it has to be RIGHT!
Thanks for your help!
Answers
How many M is 5 foot 4 inches?
Answers
1.6256 Meters in 5 foot 4 inches
How to convert feet to inches?So, to convert a measurement in feet to inches, all you need to do is multiply the number by 12. This is an exact number, so if you're working with significant figures, it won't limit themConversion of feet into inches where in both are imperial units of measuring length. The standard unit to measure the length in centimeters. One feet is equal to 12 inchesThis is my height also, I am 5'7"tall. The conversion factor I remember is that there are 2.54 centimeters in 1 inch, so first I would change the feet to inches. 5 12 = 60 so 5'7" = 67"To learn more about convert feet to inches refers to:
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There are 1.6256 Meters in 5 foot 4 inches
How do you convert an inch to a foot?As a result, multiplying a measurement by 12 will convert it from feet to inches. Since it is an exact number, there will be no restrictions on utilising significant figures.
Conversion of feet to inches where both length measurement units are in the imperial system. the standard unit for centimetre length measurements. Twelve inches are equivalent to one foot.
This is also how tall I am because I'm 5'7". I would first convert the feet to inches using the closest I can remember conversion factor of 2.54 centimetres to 1 inch.
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What factor is paired with 6 to give to24
Answers
Answer: 4
Step-by-step explanation:
f=factor
24=6*f
24/6=f
f=4
Answer:
4 is paired with 6 to get 24
Step-by-step explanation:
Here are some examples I got from my math teacher:
So How do you find the factor pairs?
Factor pairs are a set of two integers that give a particular product when multiplied together. For example, 2 and 5 are a factor pair for the product of 10. Factor pairs can be negative numbers, but they must be whole numbers – that means that they can't be a fraction or a decimal.
An airplane from Singapore to Melbourne takes about 7 1/2 hours to cover a distance of 6057 km. What is the average speed of the airplane.
Answers
Answer: 13.46 km/h
Step-by-step explanation:
7 1/2 hr= 450 min
6057/450= 13.46
Calculate the pay of the following day of a wage of $ 11/hour.
Answers
Answer:
93.5 dollars during Monday.
Step-by-step explanation:
Morning: 12:15 - 8 = 4hours 15 minutes
Afternoon: 17:15 - 13 = 4 hours 15 minutes
Total Time working = 4 hours 15 minutes + 4 hours 15 minutes
Total time working = 8 hours 30 minutes
30 minutes = 1/2 hour = 0.5 hours
Total time = 8.5 hours
Wage = 8.5 * 11 = 93.5 dollars for Monday.
wich linear function best fits the data ?
Answers
Answer: the second one
Step-by-step explanation:
10. Enter the value of p so that the expression 8(n + 2) is equivalent to (n + p)8
Answers
Answer:
p=2
Step-by-step explanation:
8n + 16 = 8n + 8p
subtract 8n
16=8p
divide both sides by 8
p = 2
To find the value of p that sets the expression equal to each other:
⇒ must set both equations equal to each other, like such:
\(8(n+2)=(n+p)8\\8n+16=8n+8p\\8n+16-8n=8p\\16=8p\\8p=16\\p=2\)
Thus the value of p so that the expression 8(n + 2) is equivalent to (n + p)8 is 2
Answer: 2
Hope that helps!
Select the correct answer.
Consider the graph below. Which of the following piecewise functions is shown in the given graph?
Answers
Answer:
f(x)=x^2+3
\(f(x) = x^{2} + 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: x < 1 \\ \\ f(x) = - 2x + 5 \: \: \: \: \: \: \: \: \: \: \: \: \: x \geqslant 1\)
Select the persons or groups which advocated the following viewpoint of Jesus Christ. angel: Arius Ebionites Jehovah Witnesses Socinianism Eutychus Cerinthus Unitarians Nestorius Docetists Apollinaris
Answers
The persons or group of person that advocated the angelic viewpoint of Jesus Christ are the
EbionitesJehovah Witnesses and Docetists.Who are the Ebionites and Docetists?The Ebionites were an early Jewish Christian sect who believed that Jesus was a human Messiah and rejected his divinity. The Docetists believed that Jesus only appeared to be human and that his physical body was an illusion.
Witnesses believe in a one God rather than the Trinity. They, like other Christians, believe that Jesus Christ died for the sins of humanity and was resurrected after his crucifixion.
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Select the persons or groups which advocated the following viewpoint of Jesus Christ.
angel:
Arius
Ebionites
Jehovah Witnesses
Socinianism
Eutychus
Cerinthus
Unitarians
Nestorius
Docetists
Apollinaris
f(7) if f(x) = x + 10.
Answers
Answer:
17
Step-by-step explanation:
at f(7) means x is 7
7+10 is 17
Lines m and n are parallel. The measure of angle 6 is 55°.
What is the measure of angle 1?
35°
55°
125°
155°
Answers
Answer:155
Step-by-step explanation:
because they are parallel lines. If the angles differed even by 1°, eventually the lines would meet, therefore they would not be parallel.
Answer:
Firstly angle 6 and 2 are equal because of corresponding angles
so 6 = 2
Now angle 1 + 2 = 180 ( linear pair)
angle 1 = 180 - 55
1 = 125
hope it helps and your day will fine
Find 8 + 6/10 using the steps given:Step 1: Convert my fraction to a decimal. Step 2: Add/Subtract my rational numbers.
Answers
ANSWER
EXPLANATION
We want to find the value of the expression given:
\(8\text{ + }\frac{6}{10}\)Step 1: Convert fraction to a decimal
We will convert 6/10 to a decimal. That is:
6/10 = 0.6
the diagram below shows a square-based pyramid
Answers
The solution is, 52 ft is the perimeter of the base of the pyramid.
Here, we have,
Given that:
We have an pyramid with square base.
Area of base of the square pyramid = 169
To find:
Perimeter of the base of pyramid = ?
Solution:
First of all, let us have a look at the formula of area of a square shape.
Area = side * side
Let the side be equal to ft.
Putting the given values in the formula:
169 = a^2
so, a = 13 ft
Now, let us have a look at the formula for perimeter of square.
Perimeter of a square shape = 4 Side
Perimeter = 4 * 13 = 52ft
The solution is, 52 ft is the perimeter of the base of the pyramid.
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complete question:
A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid? A pyramid has a square base with an area of 169 ft2. What is the perimeter of the base of the pyramid?
1 A high school talent show lasted a total of t minutes. There were 2 intermissions that were each the length of 8 the talent show. Which function can be used to find the number of minutes the talent show lasted, not including intermissions?
Answers
Answer:
I think f(t)=1/4t
Step-by-step explanation:
Because of you multiply 1/8 times 2, it gives you 1/4. Not 100% sure tho
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
What is a function ?function is a relation from a set to another set provided that each element of first set is related to a unique element of another set .
Here given that total time is t minutes
And time of intermission is t/8 minutes
And there are total 2 intermissions
Hence function to find the number of minutes the talent show lasted, not including intermissions can be defined as
f(t)= total time - 2(time of intermission)
\(f(t) = t- 2\times \frac{t}{8}\\\\f(t)=t-\fract1}{4}\\\\f(t)=\frac{3t}{4}\)
If total time is t and There were 2 intermissions each the length of 1/ 8 of the talent show then function to find the number of minutes the talent show lasted, not including intermissions is f(t)= 3t/4 minutes .
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6. Suppose Daniel decides to cheat and makes up 6 numbers. He writes down
2, 4, 12, 18, 19, and 25. In order for the rest of his project to correctly
match this data, what would he have to change and how? What parts could
stay the same? Explain your reasoning.
Change:
Same:
PLEASE SOMEONE HELP IM IN NEED
Answers
Answer:
he would have to change 19 and 25 because they dont match the rest of the numbers because they are odd numbers.
An angle measure 40° less than the measure of its complementary angle. What is the measure of each angle.
Answers
The required measure of the complementary angle is given as 65 and 25.
What are complementary angles?Complementary angles are two angles whose measures add up to 90 degrees. In other words, if angle A and angle B are complementary, then A + B = 90 degrees.
Here,
Complementary angles are two angles whose measures add up to 90 degrees. Let x be the measure of the first angle, and let y be the measure of the second angle.
x = y - 40
We also know that the measures of the two angles add up to 90 degrees since they are complementary. Mathematically, we can express this as:
x + y = 90
We can substitute the first equation into the second equation to eliminate one of the variables:
(y - 40) + y = 90
Simplifying this equation, we get:
2y - 40 = 90
Adding 40 to both sides, we get:
2y = 130
Dividing both sides by 2, we get:
y = 65
Now that we know that the second angle has a measure of 65 degrees, we can use the first equation to find the measure of the first angle:
x = y - 40
x = 65 - 40
x = 25
Therefore, the two angles have measures of 25 degrees and 65 degrees.
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Is the line x = 1 - 2t, y = 2 + 5t, z = -3t parallel to the plane 2x + y - z = 8? Give reasons for your answer.
Answers
No, the line x=1-2t, y=2+5t, z=-3t is not parallel to the plane 2x+y-z=8 as their dot product is not zero.
To determine if the line x = 1 - 2t, y = 2 + 5t, z = -3t is parallel to the plane 2x + y - z = 8, we can find the direction vector of the line and check if it is orthogonal to the normal vector of the plane.
The direction vector of the line is given by the coefficients of t in each component, which is (-2, 5, -3).
The normal vector of the plane is given by the coefficients of x, y, and z in the plane's equation, which is (2, 1, -1).
To check if the direction vector is orthogonal to the normal vector, we can take their dot product and see if it is zero:
(-2, 5, -3) * (2, 1, -1) = -4 + 5 + 3 = 4
Since the dot product is not zero, the direction vector of the line and the normal vector of the plane are not orthogonal, which means the line is not parallel to the plane.
The line x = 1 - 2t, y = 2 + 5t, and z = -3t is not parallel to the plane 2x + y - z = 8, hence the answer is no.
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In a class of students, the following data table summarizes how many students have a
cat or a dog. What is the probability that a student chosen randomly from the class
has a cat or a dog?
Answers
The probability that a student is chosen randomly from the class has a cat or a dog is 26/29.
What is the probability?It is based on the probabilities that something could happen. The theory of probability primarily relies on the justification for probability. A coin is tossed, for instance, and the theoretical likelihood of randomly receiving a head is 1 in 2.
explanation:
The formula of probability is defined as the ratio of a number of favorable outcomes to the total number of outcomes.
P(E) = Number of favorable outcomes / total number of outcomes
The total strength of the class is 29
The probability that a student is chosen randomly from the class has a cat or a dog = Number of favorable outcomes / total number of outcomes
P(E) = 26/29
Hence, The probability that a student is chosen randomly from the class has a cat or a dog is 26/29.
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company in hayward, cali, makes flashing lights for toys. the
company operates its production facility 300 days per year. it has
orders for about 11,700 flashing lights per year and has the
capability
Kadetky Manufacturing Company in Hayward, CaliforniaThe company cases production day seryear. It has resto 1.700 e per Setting up the right production cost $81. The cost of each 1.00 The holding cost is 0.15 per light per year
A) what is the optimal size of the production run ? ...units (round to the nearest whole number)
b) what is the average holding cost per year? round answer two decimal places
c) what is the average setup cost per year (round answer to two decimal places)
d)what is the total cost per year inluding the cost of the lights ? round two decimal places
Answers
a) The optimal size of the production run is approximately 39, units (rounded to the nearest whole number).
b) The average holding cost per year is approximately $1,755.00 (rounded to two decimal places).
c) The average setup cost per year is approximately $24,300.00 (rounded to two decimal places).
d) The total cost per year, including the cost of the lights, is approximately $43,071.00 (rounded to two decimal places).
a) To find the optimal size of the production run, we can use the economic order quantity (EOQ) formula. The EOQ formula is given by:
EOQ = √[(2 * D * S) / H]
Where:
D = Annual demand = 11,700 units
S = Setup cost per production run = $81
H = Holding cost per unit per year = $0.15
Plugging in the values, we have:
EOQ = √[(2 * 11,700 * 81) / 0.15]
= √(189,540,000 / 0.15)
= √1,263,600,000
≈ 39,878.69
Since the optimal size should be rounded to the nearest whole number, the optimal size of the production run is approximately 39, units.
b) The average holding cost per year can be calculated by multiplying the average inventory level by the holding cost per unit per year. The average inventory level can be calculated as half of the production run size (EOQ/2). Therefore:
Average holding cost per year = (EOQ/2) * H
= (39,878.69/2) * 0.15
≈ 2,981.43 * 0.15
≈ $447.22
So, the average holding cost per year is approximately $447.22 (rounded to two decimal places).
c) The average setup cost per year can be calculated by dividing the total setup cost per year by the number of production runs per year. The number of production runs per year is given by:
Number of production runs per year = D / EOQ
= 11,700 / 39,878.69
≈ 0.2935
Total setup cost per year = S * Number of production runs per year
= 81 * 0.2935
≈ $23.70
Therefore, the average setup cost per year is approximately $23.70 (rounded to two decimal places).
d) The total cost per year, including the cost of the lights, can be calculated by summing the annual production cost, annual holding cost, and annual setup cost. The annual production cost is given by:
Annual production cost = D * Cost per light
= 11,700 * 1
= $11,700
Total cost per year = Annual production cost + Average holding cost per year + Average setup cost per year
= $11,700 + $447.22 + $23.70
≈ $12,170.92
Therefore, the total cost per year, including the cost of the lights, is approximately $12,170.92 (rounded to two decimal places).
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What is the slope-intercept equation for the linear function represented by the
table?
Answers
Answer: y= 3/2x - 6
Step-by-step explanation:
The equation is y=mx + b
The y-intercept is when x = 0, so on the table y-intercept = -6
The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2
to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)
now, the y-intercept occurs when x = 0, recheck the picture below.
