Amazon Math Flow Questions • You have 30 associates who all work an 8 hour day, 5 days a week. 2 need to be indirect-they are not on the floor producing. Your direct rate is 150 units per hour but you have two 15 minute breaks during the day. How many units can your department produce in a 40 hour week? . If you need to produce an extra 10,000 units in a given week how many extra people will it require? Question: Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a... Each sandwich takes 10 minutes to make which means in the 10 hour shift there will be a total of 60 sandwiches. The deli wants an efficient way to increase the sandwich output using the same five workers and 10 hour shift (Don't Factor Break in) to produce 75 because of the 25% increase due to the expansion of the deli. What would you do to make the the process more efficient? Where each sandwich would take 8 minutes to make instead of 10 minutes. Please answer the question throughly.
Extra people required is 50.
Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.
What is Proportion?Proportions are defined as the concept where two or more ratios are set to be equal to each other.
Question 1 :
Number of associates = 30
Number of direct workers = 30 - 2 = 28
You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.
Direct rate = 150 units per hour
Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week
= 37.5 hours per week
Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units
28 people produce 5625 units in a week
Let x people produce 10,000 + 5625 = 15,625 units in a week
Using proportion,
28 : 5625 = x : 15,625
28 / 5625 = x / 15,625
x = (28 × 15,625) / 5625 = 77.78 ≈ 78
Extra people required = 78 - 28 = 50
Question 2 :
Number of sandwiches made in 10 minutes = 1
Number of sandwiches made in 10 hours = 60
5 workers are there. one worker makes 60/5 = 12 sandwiches
But Deli want number of sandwiches in 10 hours = 75
One worker should make 75/5 = 15 sandwiches instead of 12.
Number of sandwiches made in 8 minutes should be 1.
So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.
Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.
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Wanda, Darren, Beatrice, and Chi are tutors in the school math lab. Their schedule is as follows: Darren works every third school day, Wanda works every fourth school day, Beatrice works every sixth school day, and Chi works every seventh school day. Today they are all working in the math lab. In how many school days from today will they next be together tutoring in the lab?
The base of this right triangular prism is a right triangle with legs that are 7 in. and 8 in. The height of the prism is 5 in. What is the volume of this right triangular prism?
Answer:
240 cm3
Step-by-step explanation:
i hope this helps i made sure it was right!
Answer:
(A) 140 in
Step-by-step explanation:
A Verizon smartphone plan charges an $80 service fee and then $45 per month. Which of the following expressions models the total money spent for this plan after m months?
Answer:
$45m+$80= total money spent
Step-by-step explanation:
the $45 is multiplied by the number of months that the plan is used becuase that is the amount that must be paid per month, and you add the $80 that only needs to be paid once.
I hope that helps!
find a function that models the area a of a circle in terms of its circumference c.
Answer:
A = C²/(4π)
Step-by-step explanation:
You want a formula for the area of a circle, given its circumference.
Circle relationsRelevant relations for a circle are ...
A = πr² . . . . . . . . A = area, r = radius
C = 2πr . . . . . . . . C = circumference
Area from circumferenceSolving the circumference equation for r, we find ...
r = C/(2π)
Substituting that into the area equation, we have ...
A = π(C/(2π))²
A = C²/(4π)
#95141404393
The function that models the area A of a circle in terms of its circumference C is A = C²/(4π).
Explanation:The formula for the circumference of a circle is C = 2πr or C = πd, where r is the radius and d is the diameter. To find a function that models the area A of a circle in terms of its circumference C, we can rearrange the formula for the circumference to solve for the radius: r = C/(2π). Substituting this value of r into the formula for the area, we get A = π(C/(2π))² = C²/(4π).
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Each year, Jennifer's school hosts a student vs. teacher basketball tournament to raise money for charity. This year, there are eight teams participating in the tournament. During the first round, each team plays all of the other teams.
(a) How many games will be played in the first round?
The number of games that will be played in the first round will be 14 games.
How to calculate the value?It should be noted that the appropriate function to use in this scenario will be:
= (n - 1) × 2
where n = total number of people participating.
Therefore, this will be:
= (n - 1) × 2
= (8 - 1) × 2
= 7 × 2
= 14
Therefore, the number of games that will be played in the first round will be 14 games.
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Set up a piece-wise function to describe the relationship between the total monthly cell phone charge and the number of minutes of use. Let y represent the total cost of the phone bill and let x represent the total number of minutes. Write a piecewise function to describe the plan
The total monthly cost of the phone bill is represented by y and the total number of minutes is represented by x. Then, a sample piece-wise function to describe their relationship is written as \(y(x)=\begin{cases} {{\$35\;&\mathrm{if}\;0\leq x \leq300} \\ {\$[35+(x-300)]\;&\mathrm{if}\;x > 300}} \end{cases}\)
A function that is produced from bits of multiple functions over various periods is known as a piecewise function. By providing the input value, one can produce this function that operates differently.
Given the total cost of the phone bill is represented by y and the total number of minutes is represented by x. To write a piecewise function, let's consider an example of this.
For $35 per month, 300 minutes are included in a cell phone package. $0.25 will be charged for each additional minute. Then, the piecewise function for this is represented by,
\(y(x)=\begin{cases} {{\$35\;&\mathrm{if}\;0\leq x \leq300} \\ {\$[35+(x-300)]\;&\mathrm{if}\;x > 300}} \end{cases}\)
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Please show work as well
A large rectangular building made up of several levels. the higher levels recede back from the lower levels. a series of stairs lead from the bottom to the top level. this structure is called a(n) it was used primarily for purposes.
Terraced building. administrative or ceremonial purposes. . Its design allows for maximum use of the space, utilizing all levels of the building for various activities.
A terraced building is a large rectangular building made up of several levels, where the higher levels recede from the lower levels. Stairs lead from the bottom to the top level, and it was primarily used for administrative or ceremonial purposes.
A terraced building is a large rectangular structure that has multiple levels, with the higher levels receding back from the lower levels. A set of stairs provides access from the bottom to the top level, allowing for easy navigation throughout the building. This type of structure was primarily used for administrative or ceremonial purposes, such as for holding meetings, conferences, or other important events. Its design allows for maximum use of the space, utilizing all levels of the building for various activities.
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There are two solutions to the equation 22 = 2.
Select all of the statements that describe the positive solution of the equation.
The positive solution is 1.
The positive solution is a rational number.
The positive solution is an irrational number.
The positive solution is a repeating decimal.
The positive solution is a value between 0 and 1.
The positive solution is a value between 1 and 2.
Helppppp MEEEE
Answer:
I belive is the 2nd answer choice because it seems like is a rational number
Which is an equation of the line with slope 4 and a y-intercept –3? A y = –3x + 4 B y = –3x + C y = 4x – 3 D y = 4x –
hi,can someone help me with this
question is above,just tap to the picture
Thanks
Have a nice day
Can anyone write the equation of the graph?
how do i do this pls explain the steps
Answer:
\(a^{\frac{15}{2} }\)
Step-by-step explanation:
Using the rules of exponents
\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)
\((a^m)^{n}\) = \(a^{mn}\)
(\(a^{\frac{1}{2} }\) × a)^5
= \((a^{\frac{1}{2}+1) }\)^5
= \((a^{\frac{3}{2}) } ^{5}\)
= \(a^{\frac{15}{2} }\)
Ericel has $50 to spend for food for a birthday party. The birthday cake will cost $17, and he also wants to buy 4 bags of chips.
Part A: Write an inequality to represent the situation
Part B: Solve the inequality to determine what the highest price Ericel can pay for each bag of chips
Answer:
17+4x <_ 50
Step-by-step explanation:
To solve the highest price Eric would pay for chips you would want to guess and check to get $8 is the most you can pay for each bag of chips
PLEASE HELP!!
Solve each inequality and graph its solution.
Answer:
the answer is b
Find the equation of the line that contains the points whose coordinates are (−2, 3) ( − 2 , 3 ) and has slope −2/3
Answer:
y = -2/3x + 5/3
Step-by-step explanation:
y = -2/3 x + b
3 = -2/3 (-2) + b
3 = 4/3 + b
5/3 = b
Hope this helps <3
WILL GIVE BRAINLIEST!!
Sarah is working in her parent's candy shop making chocolate covered strawberries. She gets paid $50 a week, in addition to $2 for every chocolate covered strawberry she makes. She made $225 this week. Write an equation to show how many strawberries Sarah made this week.
A.50 - 2x = 225
B.50x - 2 = 225
C.50 + 2x = 225
D.50x + 2 = 225
Answer:
a
Step-by-step explanation:
a
what is the nth term rule of the linear sequence below 15, 7, -1, -9, -17
Answer:
8n+7
Step-by-step explanation:
What is the equation of the line parallel to y = 9x - 5 passing through (1, 5)
Answer:
y=9x+50
Step-by-step explanation:
tell me if im wrong
Question 4 of 10
The standard form of the equation of a parabola is y=x²-6x+14.
What is the vertex form of the equation?
OA y=(x-3)2 +15
OB. y = (x+3)(x-3) +5
O C. y=(x-3)2 +23
OD. y=(x-3)² +5
The vertex form of the equation is y = (x - 3)² - 4, which corresponds to option OD.
To convert the given equation from standard form to vertex form, we need to complete the square.
The vertex form of a parabola's equation is y = a(x-h)² + k, where (h, k) represents the vertex of the parabola.
Given equation: y = x² - 6x + 14
Move the constant term to the right side:
y - 14 = x² - 6x
Complete the square by adding and subtracting the square of half the coefficient of x:
y - 14 + 9 = x² - 6x + 9 - 9
Group the terms and factor the quadratic:
(y - 5) = (x² - 6x + 9) - 9
Rewrite the quadratic as a perfect square:
(y - 5) = (x - 3)² - 9
Simplify the equation:
y - 5 = (x - 3)² - 9
Move the constant term to the right side:
y = (x - 3)² - 9 + 5
Combine the constants:
y = (x - 3)² - 4
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Please answer back ASAP
Answer:
Same with alhajajsama
Step-by-step explanation:
What is a when:
13.2-a=2.9
?
a=?????
Answer:
Step-by-step explanation:
13.2-a=2.9subtract 2.9 from both sides and add a to both sides
a=10.3
Use square roots to solve the equation x2 = –64 over the complex numbers. Select any solutions that apply.
A. 8i
B. –8
C. –8i2
D. –8i
Answer:
Options A and D are correct
Step-by-step explanation:
Here, we want to find the square root of the negative number;
x^2 = -64
x^2 = 64 * -1
x= √64 * √-1
Mathematically we can write the √-1 as i
X = √64 * i
Square root of 64 is plus or minus 8
so x = -8i or 8i
The solutions of an equation are the true values of the equation.
The expression that represents the solution(s) of \(\mathbf{8i}\) is \(\mathbf{-8i}\)
The equation is given as:
\(\mathbf{x^2 = -64}\)
Take square roots of both sides
\(\mathbf{x = \pm\sqrt{-64}}\)
Expand
\(\mathbf{x = \pm(\sqrt{64} \times \sqrt{-1})}\)
\(\mathbf{x = \pm(8 \times \sqrt{-1})}\)
In complex numbers,
\(\mathbf{ \sqrt{-1} = i}\)
So, we have:
\(\mathbf{x = \pm(8 \times i)}\)
\(\mathbf{x = \pm8i}\)
Split
\(\mathbf{x = 8i\ or -8i}\)
So, the expression that represents the solution(s) of \(\mathbf{8i}\) is \(\mathbf{-8i}\)
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Jose paid $1.12 for a dozen eggs at Target. How much would Jose have to pay for 18 eggs?
Answer:
56.16
Step-by-step explanation: All you do is just multiply
Answer:
$1.67
Step-by-step explanation:
Given it's $1.12 for 12 eggs, we divide 1.12 by 12 to see how much it cost for 1 egg
1.12/12 = 0.093
so 0.093 cents for 1 egg
0.093x18 eggs = 1.674 = $1.67
Hope this helps, have a nice day :)
Plot point C(2,7). If M is the midpoint of (CD) ,what are the coordinates of D?
Answer:
can you post a. images of the chart
another financial analyst, who also works for the online trading platform, claims their clients have a lower proportion of stock portfolios that contain high-risk stocks. this financial analyst would like to carry out a hypothesis test and test the claim that the proportion of stock portfolios that contain high-risk stocks is lower than 0.10. why is their hypothesis test left-tailed?
The hypothesis test is left-tailed because the financial analyst wants to test if the proportion of stock portfolios containing high-risk stocks is lower than 0.10.
In other words, they are interested in determining if the proportion is significantly less than the specified value of 0.10. A left-tailed hypothesis test is used when the alternative hypothesis suggests that the parameter of interest is smaller than the hypothesized value. In this case, the alternative hypothesis would be that the proportion of stock portfolios with high-risk stocks is less than 0.10.
By conducting a left-tailed test, the financial analyst is trying to gather evidence to support their claim that their clients have a lower proportion of high-risk stock portfolios. They want to determine if the observed data provides sufficient evidence to conclude that the true proportion is indeed less than 0.10, which would support their claim of a lower proportion of high-risk stocks.
Therefore, a left-tailed hypothesis test is appropriate in this scenario.
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If f(x) = 3x² + 2 and g(x)=x2-9, find (f- g)(x).
OA. 2x² - 7
OB. 2x² +11
OC. 4x²-7
OD. 4x² +11.
Answer:
B. 2x² + 11
Step-by-step explanation:
(f - g)(x) means:
f(x) - g(x)
We've been given what each of these is equal to, so substitute that in:
3x² + 2 - (x² - 9)
Simplify. Don't forget to distribute that minus in the middle to both terms in x² - 9
3x² + 2 - x² + 9
Next, combine like terms.
2x² + 11
Carey earns $9.75 working part time on weekends. The table below shows the amount, a, Carey earns for working h hours. Carey’s Earnings h 0 1 3 a $0 $9.75 ? Which value completes the table to show the amount Carey earns for working 3 hours?
Answer:
$29.25
Step-by-step explanation:
For every 1 hour, Carey earns $9.75. Multiply $9.75 by 3 to find out how much she earns for 3 hours of work.
$9.75 × 3 = $29.25
Carey earns $29.25 for working 3 hours.
Answer:
29.25
Step-by-step explanation:
I got it right on edge!! trust me
You are 14.2 meters from the center of town, at an angle of 190
∘
North of East (that is, 190
∘
as measured from the +x-axis, as usual). i. How far East (+x) of the town center are you? ii. How far North (+y) of the town center are you? (b) You are 12.00 m to the North (+y) of and −5.00 m to the East (+x) of the center. of town. i. How far are you from the center of town, and ii. at what angle? (c) You are standing 44.0 meters from the center of town, at an angle of 23
∘
North of East (angle measured counter-clockwise from the +x axis). From there, you walk 30.0 meters at an angle of 160
∘
North of East. i. How far are you from the center of town, and ii. at what angle? (d) You are standing 22.0 meters from the center of town, at an angle of 123
∘
North of East. You walk in a straight line to a spot that is 40.0 meters from and directly West (−x) of the center of town. i. How far and ii. in what direction did you walk?
(a) You are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) You are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) You are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) You walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
(a) Given:
Distance from the center of town = 14.2 meters
Angle North of East = 190°
(i) To find how far East (+x) of the town center you are, we can use trigonometry. The horizontal component (East) is given by:
Distance East = Distance from center * cos(Angle)
Distance East = 14.2 * cos(190°) ≈ -11.79 meters
(ii) To find how far North (+y) of the town center you are, we can use trigonometry. The vertical component (North) is given by:
Distance North = Distance from center * sin(Angle)
Distance North = 14.2 * sin(190°) ≈ -2.98 meters
Therefore, you are approximately 11.79 meters East (-x) of the town center and 2.98 meters South (-y) of the town center.
(b) Given:
Distance North (+y) of the center = 12.00 meters
Distance East (+x) of the center = -5.00 meters
(i) To find the distance from the center of town, we can use the Pythagorean theorem:
Distance from center = √((Distance North)² + (Distance East)²)
Distance from center = √((12.00)² + (-5.00)²) ≈ 13.00 meters
(ii) To find the angle, we can use trigonometry. The angle is given by:
Angle = atan(Distance North / Distance East)
Angle = atan(12.00 / -5.00) ≈ -67.38°
Therefore, you are approximately 13.00 meters away from the center of town at an angle of -67.38°.
(c) Given:
Distance from the center of town = 44.0 meters
Angle North of East = 23°
Distance walked = 30.0 meters
Angle of walking North of East = 160°
(i) To find the new distance from the center of town, we can use the Law of Cosines:
New distance from center = √((Distance from center)² + (Distance walked)² - 2 * Distance from center * Distance walked * cos(Angle of walking))
New distance from center = √((44.0)² + (30.0)² - 2 * 44.0 * 30.0 * cos(160°)) ≈ 57.45 meters
(ii) To find the new angle, we can use the Law of Sines:
New angle = Angle + Angle of walking - 180°
New angle = 23° + 160° - 180° ≈ 3°
Therefore, you are approximately 57.45 meters away from the center of town at an angle of 3° North of East.
(d) Given:
Distance from the center of town = 22.0 meters
Angle North of East = 123°
Distance walked = 40.0 meters
Direction = West (-x)
(i) To find the new distance from the center of town, we can use the Pythagorean theorem:
New distance from center = √((Distance from center)² + (Distance walked)²)
New distance from center = √((22.0)² + (40.0)²) ≈ 45.28 meters
(ii) To find the new direction, we can subtract the angle of walking from the original angle:
New angle = Angle - 90°
New angle = 123° - 90° ≈ 33°
Therefore, you walked approximately 45.28 meters away from the center of town in a direction of 33° North of West (-x).
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