Answer:I believe that it is A but i am not fully sure
Step-by-step explanation:
WILL GIVE BRAINLIEST!
A triangle has an area of 72 square yards. The height is 9 yards. What is the base?
Answer:
16 yards
Step-by-step explanation:
Using the formula
A=hb/2
Solving forb
b=2A/hb=2·72
9=16yd
Premier Consulting’s two consultants, Avery and Baker, can be scheduled to work for clients up to a maximum of 160 hours each over the next four weeks. A third consultant, Campbell, has some administrative assignments already planned and is available for clients up to a maximum of 140 hours over the next four weeks. The company has four clients with projects in process. The estimated hourly requirements for each of the clients over the four-week period are as follows:
Client Hours
A1 180
B2 75
C3 100
D4 85
Hourly rates vary for the consultant–client combination and are based on several factors, including project type and the consultant’s experience. The rates (dollars per hour) for each consultant–client combination are as follows:
Client
Consultant A B C D
Avery1 100 125 115 100
Baker2 120 135 115 120
Campbell3 155 150 140 130
a. Develop a network representation of the problem.
b. Formulate the problem as a linear program, with the optimal solution providing the hours each consultant should be scheduled for each client to maximize the consulting firm’s billings. What is the schedule and what is the total billing?
c. New information shows that Avery doesn’t have the experience to be scheduled for client B. If this consulting assignment is not permitted, what impact does it have on total billings? What is the revised schedule?
Answer:
The correct network diagram is the first one.
Step-by-step explanation:
Max 100 x 11 + 115 x 23 + 125 x 12 + 120 x 24 + 1 x 12 + 120 x 21 + 140 x 33 + 135 x 22 + 130 x 34 + 115 x 13 + 155 x 31 + 1
Excel formulation:
А B с D E F G H 1 1 2 2 3 4 5 6 7 Flow RHS Avery =SUM(C3:06) 160 Baker =SUM(C7:C10) 160 Campbell =SUM(C11:C14) 140 A =SUM(C3,
Solver inputs:
Set Objective: $D$15 To: Max Min O Value Of: 0 By Changing Variable Cells: $C$3:$C$14 + Subject to the Constraints: $G$3:$G$5
Solution:
Amount Billing
Avery-Client A 0 0
Avery-Client B 40 5000
Avery-Client C 100 11500
Avery-Client D 0 0
Baker-Client A 40 4800
Baker-Client B 35 4725
Baker-Client C 0 0
Baker-Client D 85 10200
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57925
Make 'Avery to B' zero in the solver entry and run the model again:
Amount Billing
Avery-Client A 0 0
Avery-Client B 0 0
Avery-Client C 100 11500
Avery-Client D 40 4000
Baker-Client A 40 4800
Baker-Client B 75 10125
Baker-Client C 0 0
Baker-Client D 45 5400
Campbell-Client A 140 21700
Campbell-Client B 0 0
Campbell-Client C 0 0
Campbell-Client D 0 0
Total Billing 57525
Use the number line below to determine which of the following answer choices had statements that are all true
The choice that had statements that are all true is (a) Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2
How to determine the choices that had statements that are all trueThe complete question is added as an attachment
From the question, we have the following parameters that can be used in our computation:
The number line
On the number line, we have the following
A = -4
B = -2 1/2
C = 1
D = 1 3/4
When the above values are compared with the list of options, we have
Option (A) = true
This is so because in (a)
Point B = -2 1/2, Point D = 1 3/4 and 1 3/4 > -2 1/2
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A jewelry maker incurs costs for a necklace according to the equation shown below.
C(x) = 30x + 1692
The revenue function for the necklaces is given below.
R(x) = 77x
How many necklaces must be sold to break even?
necklaces
What is the approximate length of side GF in triangle EFG?
Answer:
41.93 degrees
Step-by-step explanation:
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
In a pre algebra class containing 43 students, there are 4 freshman, 35 sophomores, and 4 juniors. what fraction of the class are sophomores
The fraction of the class that is sophomores is \(35/43\).
The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.
Number of sophomores = 35
Total number of students = 43
Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)
Fraction of sophomores \(= 35 / 43\)
Therefore, the fraction of the class that are sophomores is = \(35/43\).
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if a₁=3 and aₙ=5aₙ-₁ then find the value of a₅
Answer:
The value of a₅ is 1875.
Step-by-step explanation:
Given:
a₁ = 3
aₙ = 5aₙ₋₁
To find the value of a₅, we can apply the recursive formula to compute each term successively:
Step 1: Compute a₂
a₂ = 5a₁ = 5(3) = 15
Step 2: Compute a₃
a₃ = 5a₂ = 5(15) = 75
Step 3: Compute a₄
a₄ = 5a₃ = 5(75) = 375
Step 4: Compute a₅
a₅ = 5a₄ = 5(375) = 1875
What is 1+57327392393629323
Answer:
57327392393629324
Step-by-step explanation:
An investment of 8,500 has an annual interest rate of 6.6%...... (Continues in screenshot) (please explain)
Answer:
C) A = 8500(1.0165)^16
Step-by-step explanation:
A = P(1 + r/n)^nt where 'n' is # times compounded and 't' is time in years
A = 8500(1 + (.066/4))^4·4
A = 8500(1 + 0.0165)^16
If f(-2) = a and (f • g) (-2) = 2a^2, which of the following is g (-2)?
Answer: \(g(-2)=2a\)
Step-by-step explanation:
\((f \cdot g)(-2)=f(-2)g(-2)\\\\\therefore a \cdot g(-2)=2a^2 \implies g(-2)=2a\)
The function g(-2) from the given functions is 2a.
What is the function?Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.
The given functions are f(-2)=a and (f·g)(-2)=2a².
Here, (f·g)(-2)=2a²
f(-2)·g(-2)=2a²
a·g(-2)=2a²
g(-2)=2a²/a
g(-2)=2a
Therefore, the function g(-2) is 2a.
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Anyone know this? Please help
Graph the line that passes through the points (- 7, 9) and (2, - 9) and determine the equation of the line.
Select the correct answer.
A figure shows the inscribed triangle ABC with center point O which bisects BO. An angle of C is 50 degrees.
In the diagram,
is a diameter of the circle with center O. If m∠
= 50°, what is m∠
?
A.
50°
B.
40°
C.
80°
D.
100°
Reset Next
Answer: C
Step-by-step explanation:
Can you show that this quadrilateral is a
parallelogram?
Answer:
No
Step-by-step explanation:
First and one major drawback has come.
Paralleogram has two pair of opposite and parallel sides.Both are equal.
Here we can see that two parallel sides are not equal I e 59>53.So it's not a parallelogram.
Determine whether the variable is qualitative or quantitative. Model of car driven Is the variable qualitative or quantitative? A. The variable is quantitative because it is an attribute characteristic. B. The variable is qualitative because it is an attribute characteristic. C. The variable is qualitative because it is a numerical measure.
D. The variable is quantitative because it is a numerical measure.
A variable in mathematics is a number that can change depending on the issue. Several mathematical statements and equations use the generic letters x, y, and z. In other words, a variable is a symbol that stands for an unknowable numeric value. Say that x Plus 5 equals 10. The "x" variable is used here.
The variable "model of car driven" is qualitative because it is an attribute characteristic. Qualitative variables are those that are not numerical in nature but rather represent characteristics or categories that can be observed or measured through attributes. In this case, the model of the car driven is a type of attribute that describes the make and model of the car, such as Honda Civic, Toyota Corolla, etc.
Therefore, option B is the correct answer.
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Optiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
What is a qualitative variable?A qualitative variable is a type οf variable in statistics that describes a characteristic οr quality οf an οbject οr phenοmenοn. It is alsο called a categοrical variable, and it can be nοminal οr οrdinal. Nοminal variables have categοries that have nο inherent οrder, while οrdinal variables have categοries with a natural οrder οr ranking.
The variable "Mοdel οf car driven" is qualitative because it is an attribute characteristic. Qualitative variables are variables that are nοt numerical in nature but are based οn attributes οr characteristics. In this case, the mοdel οf the car driven is a categοrical variable that describes a particular characteristic οf the car, such as its make οr mοdel. This variable cannοt be measured quantitatively οr numerically, but rather it can be categοrized based οn specific attributes οr features.
Therefοre, οptiοn B, "The variable is qualitative because it is an attribute characteristic," is the cοrrect answer.
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That’s the Answer in the right order
Answer:
3rd one
Step-by-step explanation:
i hope have a great day
I GIVE BRAINLILSTTTT
Answer:
The answer is H please brainleist :) have a good day!
Step-by-step explanation:
Refer to the given terms . A pattern defines the relationship between the first two terms . Determine the relationship and identify the missing term of the second pair , such that both the pairs are analogous . AZP : ZAR :: TXK :
The missing term in the second pair is YUL.
To determine the relationship between the first two terms, let's analyze the given pattern: AZP : ZAR.
If we look closely, we can observe that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
So, applying the same pattern to the second pair (TXK), we need to shift each letter one position forward in the alphabet:
T + 1 = U
X + 1 = Y
K + 1 = L
Therefore, the missing term in the second pair is YUL.
The analogy between the pairs is that each letter in the first term is shifted one position forward in the alphabet to form the corresponding letter in the second term.
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scott has eight dogs. if five of them are doberman’s how many are not
The number of dogs that are not Doberman's in this scenario is 3.
If Scott has eight dogs, and five of them are Doberman's, then the remaining 8 - 5 = 3 dogs are not Doberman's. Therefore, three dogs are not Doberman's.
This answer follows from the mathematical concept of complement. The complement of an event is the set of all outcomes that are not a part of the event. In this case, the event is having a Doberman dog and the complement of the event is not having a Doberman dog.
Since there are only two categories of dogs here, namely Doberman and non-Doberman, we can compute the number of non-Doberman dogs by subtracting the number of Doberman dogs from the total number of dogs. This is because every dog falls into one or the other of these two categories.
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If the size of one object is 8.5*10^-4 meters and the size of a second object is 3.7*10^6, how many times bigger is the second object compared to the first object?
The second object is approximately 4.4 * 10^9 times bigger than the first object.
Division of numbers involving Scientific Notation.The division of the value of the second scientific notation from the first scientific notation is the precise and accurate way with which we can determine many many times bigger is the second object compared to the first object.
To do so, group coefficients together and exponents together to divide numbers in scientific notation. i.e.
= (3.7/8.5) * ((10^6)/(10^−4))
= 0.43529411 × ((10^6)/(10^−4))
Subtract the exponent from the denominator from the exponent of the numerator for the same base 0.43529411 ⋅ 10^(6 −4*−1)
= 0.43529411 × ((10^6+4)
= 0.43529411 × 10^10
= 4.3529411 × 10^9
≅ 4.4 × 10^9
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What type of transformation is illustrated in the picture below? A. rotationB. translation
Rotation simply means turning around a centre . From the diagram above the vehicle rotated in a clockwise fashion.
Plz answer BRAINLIEST Choose the statement that is true of both triangles.
9514 1404 393
Answer:
A. Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Step-by-step explanation:
Both triangles have sides marked 2 units and 4 units, but the angle is not between them. The angle is opposite the short side in one triangle (which will be a right triangle), and opposite the long side in the other triangle (which will be an obtuse triangle). The sides and angles of the two triangles will not have the same measures, and neither will have an angle of 100°.
The first description is appropriate:
Side lengths of 4 units and 2 units and a nonincluded angle of 30°
Santos Company provided the following information for 2022:
Common Stock Outstanding 100,000 shares
Convertible Preferred, Total Par Value $50,000; Dividend Rate 4%; Convertible into 1,900 Common Shares Dividend Declared & Paid
Stock Options – A Exercise Price $12; Average Market Price $11; 3,000 Options
Stock Options – B Exercise Price $7; Average Market Price $8; 4,000 Options
Convertible Bonds, 5%, Face Value $1,000,000; Convertible into 40,000 Common Shares
Tax Rate 30%
Net Income $120,000
Round to nearest two decimal places.
Part A: Complete all steps to determine EPS to be reported including:
1. Computation of Basic EPS
2. Individual dilution/anti-dilution with decision making
3. Ranking of potential dilutors
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
Part B: Partial Financial Statement Presentation of EPS for this company for the current year (2022) with a proper heading. Start your partial statement with Net Income.
Reminder: You must show all supporting computations
Answer:
Part A:
1. Computation of Basic EPS
Basic EPS = (Net Income - Preferred Dividends) / Weighted Average Shares Outstanding²
Net Income = $120,000
Preferred Dividends = 4% x $50,000 = $2,000
Weighted Average Shares Outstanding = 100,000 (assuming no change in common stock during the year)
Basic EPS = ($120,000 - $2,000) / 100,000
Basic EPS = $1.18
2. Individual dilution/anti-dilution with decision making
We need to check if any of the convertible securities or stock options are dilutive or anti-dilutive by comparing their impact on EPS with the basic EPS.
Convertible Preferred: Each preferred share can be converted into 1.9 common shares (1,900 / 1,000). The conversion would increase the common shares outstanding by 1,900 and decrease the preferred dividends by $2,000.
EPS after conversion = ($120,000 - $0) / (100,000 + 1,900)
EPS after conversion = $1.16
Since this is lower than the basic EPS of $1.18, the convertible preferred is dilutive and should be included in the diluted EPS calculation.
Stock Options - A: Each option can be exercised at $12 to buy one common share when the average market price is $11. This means that the options are out of the money and would not be exercised by the holders. Therefore, they have no impact on EPS and are anti-dilutive.
Stock Options - B: Each option can be exercised at $7 to buy one common share when the average market price is $8. This means that the options are in the money and would be exercised by the holders. The exercise would increase the common shares outstanding by 4,000 and generate cash proceeds of $28,000 ($7 x 4,000). The cash proceeds can be used to buy back some common shares at the market price of $8. The number of shares bought back is 3,500 ($28,000 / $8). The net increase in common shares outstanding is 500 (4,000 - 3,500).
EPS after exercise = ($120,000 - $2,000) / (100,000 + 500)
EPS after exercise = $1.17
Since this is lower than the basic EPS of $1.18, the stock options - B are dilutive and should be included in the diluted EPS calculation.
Convertible Bonds: Each bond can be converted into 40 common shares (40,000 / 1,000). The conversion would increase the common shares outstanding by 40,000 and decrease the interest expense by $50,000 ($1,000,000 x 5%). The interest expense is net of tax, so we need to multiply it by (1 - tax rate) to get the after-tax amount. The tax rate is 30%.
EPS after conversion = ($120,000 - $2,000 + $50,000 x (1 - 0.3)) / (100,000 + 40,000)
EPS after conversion = $1.19
Since this is higher than the basic EPS of $1.18, the convertible bonds are anti-dilutive and should be excluded from the diluted EPS calculation.
3. Ranking of potential dilutors
We need to rank the potential dilutors from the most dilutive to the least dilutive based on their impact on EPS.
The most dilutive security is the convertible preferred with an EPS of $1.16.
The second most dilutive security is the stock options - B with an EPS of $1.17.
The least dilutive security is the convertible bonds with an EPS of $1.19.
4. Step-by-step inclusion of individual dilutors to arrive at reportable EPS with decision making.
We need to include the potential dilutors in order of their dilution until we reach a point where the next security would be anti-dilutive.
The first security to include is the convertible preferred.
EPS with convertible preferred = ($120,000 - $0) / (100,000 + 1,900)
EPS with convertible preferred = $1.16
The next security to include is the stock options - B.
EPS with stock options - B = ($120,000 - $0) / (100,000 + 1,900 + 500)
EPS with stock options
How are triangleABC and triangle ADE related? How do you know pls explain.
Triangle ABC and ADE are similar triangles
What are similar triangles?Similar triangles have the same corresponding angle measures and proportional side lengths.
This means that for two triangles to be similar, the corresponding angles must be equal and the ratio of corresponding sides of similar triangles are equal.
It has been shown that angles in ABC and ADE are equal.
To show that the ratio of corresponding sides are equal
6/12 = 8/16 = 10/20
The ratios all give a value of 1/2
Therefore we can say that the triangles ABC and ADE are similar.
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B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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what is the expression of 3 ∙ (n ∙ 5)
Answer:
15n
Step-by-step explanation:
3n* 5
15n
Find the rank of the matrix [
2 − 1 − 3 − 1
1 2 3 − 1
1 0 1 1
0 1 1 − 1
]
The rank of the matrix is 3, since there are three linearly independent rows.
The rank of a matrix is the maximum number of linearly independent rows or columns in the matrix. It is denoted by the symbol "rank(A)" for a matrix A.
To find the rank of the matrix:
[-2, -1, -3, -1] [ 1, 2, -3, -1] [ 1, 0, 1, 1] [ 0, 1, 1, -1]
We can perform row operations to reduce the matrix to row echelon form, which will help us determine the rank.
\(R_2 = R_2 + 2R_1 R_3 = R_3 + 2R_1 R_4 = R_4 + R_2\)
This gives us the following matrix:
[-2, -1, -3, -1] [ 0, 0, -9, -3] [ 0, -1, -1, 1] [ 0, 0, -4, -4]
We can see that the third row is not a linear combination of the first two rows, and the fourth row is not a linear combination of the first three rows. Therefore, the rank of the matrix is 3, since there are three linearly independent rows.
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14. If a woman is just about to ski down a steep mountain, She estimates the
angle of depression from where she is now to the flag at the bottom of the
course to be 24". She knows that she is 800 feet higher than the base of the
course. How long is the path that she will ski? (Round to the nearest foot)
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation: