a bus picks up a group of tourists at a hotel. the sightseeing bus travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south. where is the bus in relation to the hotel?
Answers
According to the given statement East of the hotel, the bus is four blocks east away.
How can direction issues be fixed?It is one of the subjects covered on almost all admission tests. Logical and analytical abilities are required to address the issue's queries. Mastering the "Directions" topic will make learning about seating arrangements easier.
According to the given data:When a sightseeing bus picks up a group of visitors at a hotel and travels 2 blocks north, 2 blocks east, 1 block south, 2 blocks east, and 1 block south, the following calculation must be performed to establish where the bus is in respect to the hotel:
Northern and Southern, like East and West, are adversarial.2 N + 2 E - 1S + 2E - 1S2 N - 2S = 02E + 2 E = 4ETo know more about directions, visit:
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Related Questions
Use a maclaurin series in this table to obtain the maclaurin series for the given function. F(x) = x cos(5x)
Answers
By using a maclaurin series to obtain the maclaurin series for the given function is F(x) = x cos(5x) = \(1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
To obtain the Maclaurin series for the function f(x) = x cos(5x), we need to write the Maclaurin series for cos(5x). The Maclaurin series for cos(x) is: \(cos(x) = 1 - x^2/2! + x^4/4! - x^6/6! + ...\)
Using this formula, we can substitute 5x for x and obtain the Maclaurin series for cos(5x): cos(5x) =\(1 - (5x)^2/2! + (5x)^4/4! - (5x)^6/6! + ...\)
\(= 1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...\)
We can substitute this series into the original function f(x) = x cos(5x) and obtain its Maclaurin series: f(x) = x cos(5x)
\(= x[1 - 25x^2/2! + 625x^4/4! - 15625x^6/6! + ...]\)
\(= x - 25x^3/2! + 625x^5/4! - 15625x^7/6! + ...\)
This is the Maclaurin series for the function f(x) = x cos(5x). It is obtained by substituting the Maclaurin series for cos(5x) into the original function and simplifying the resulting series. Maclaurin series are useful for approximating functions using polynomials. By truncating the series after a certain number of terms, we can obtain a polynomial that approximates the original function to a certain degree of accuracy. The accuracy of the approximation depends on the number of terms in the series that are used. The more terms we include, the more accurate the approximation will be.
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Plsss guys I have it due tomorrow? Plss helpp
What's the steepest ladder you would personally be willing to climb?the shallowest?
Answers
Answer:
The steepest ladder I personally would climb: TWO STORIES
The steepest ladder I personally would climb: UP TO THE ATTIC
Explanation:
The steepest ladder I would be willing to climb, personally, is one that leads up 2 stories. 2 stories only. I am scared of heights so I don't do climbing very well. If it is an emergency then I will climb that I have to but I think that without an emergency my limit would be 2 STORIES. And there better be firefighters.
The shallowest ladder I would be willing to climb is maybe one going to the ceiling or maybe even a slide (when I was younger at least). This is because if a ladder goes higher than an attic, I don't want anything to do with it. If it is any lower, what is the point of climbing it? Where am I trying to get to? Also if the ladder is too low the ground, I am practically crawling on a nearly horizontal ladder. There is no point.
Frodo ran 2 4/5 in 7/12 of an hour. How many miles can Frodo run in one hour?
Answers
Answer:
In 1 hour run:
4 4/5 miles
Step-by-step explanation:
2 4/5 = 2 + 4/5 = 10/5 + 4/5 = (10+4)/5 = 14/5
Proportions:
14/5 miles ⇒ 7/12 hour
A miles ⇒ 1 hour
A = (14/5 miles)(1hour) / (7/12 hour)
A = (14/5)/(7/12)
A = (14*12) / (5*7)
A = 168 / 35
A = 140/35 + 28/35
A = 4 + 28/35
A = 4 + 4/5
A = 4 4/5 Miles
Blair & Rosen, Inc. (B&R), is a brokerage firm that specializes in investment portfolios designed to meet the specific risk tolerances of its clients. A client who contacted B&R this past week has a maximum of $85,000 to invest. B&R's investment advisor decides to recommend a portfolio consisting of two investment funds: an Internet fund and a Blue Chip fund. The Internet fund has a projected annual return of 9%, whereas the Blue Chip fund has a projected annual return of 8%. The investment advisor requires that at most $55,000 of the client's funds should be invested in the Internet fund. B&R services include a risk rating for each investment alternative. The Internet fund, which is the more risky of the two investment alternatives, has a risk rating of 6 per thousand dollars invested. The Blue Chip fund has a risk rating of 4 per thousand dollars invested. For example, if $10,000 is invested in each of the two investment funds, B&R's risk rating for the portfolio would be
6(10) + 4(10) = 100.
Finally, B&R developed a questionnaire to measure each client's risk tolerance. Based on the responses, each client is classified as a conservative, moderate, or aggressive investor. Suppose that the questionnaire results classified the current client as a moderate investor. B&R recommends that a client who is a moderate investor limit his or her portfolio to a maximum risk rating of 410.
(a)
Formulate a linear programming model to find the best investment strategy for this client. (Assume N is the amount invested in the internet fund project and B is the amount invested in the Blue Chip fund. Express the amounts invested in thousands of dollars.)
Max _______________ s.t.
Available investment funds
Maximum investment in the internet fund
Maximum risk for a moderate investor
N, B ≥ 0
(b)
Build a spreadsheet model and solve the problem using Excel Solver. What is the recommended investment portfolio (in dollars) for this client?
internet fund$
blue chip fund$
What is the annual return (in dollars) for the portfolio?
$
(b)
Suppose that a second client with $85,000 to invest has been classified as an aggressive investor. B&R recommends that the maximum portfolio risk rating for an aggressive investor is 450. What is the recommended investment portfolio (in dollars) for this aggressive investor?
internet fund$
blue chip fund$
(d)
Suppose that a third client with $85,000 to invest has been classified as a conservative investor. B&R recommends that the maximum portfolio risk rating for a conservative investor is 320. Develop the recommended investment portfolio (in dollars) for the conservative investor.
internet fund$
blue chip fund$
Answers
A. N, B ≥ 0 (non-negativity constraint)
B. The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
C. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
D. You can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(a)
The linear programming model to find the best investment strategy for this client can be formulated as follows:
Maximize: 0.09N + 0.08B
Subject to:
N + B ≤ 85 (maximum investment of $85,000)
N ≤ 55 (maximum investment of $55,000 in the internet fund)
6N + 4B ≤ 410 (maximum risk rating of 410 for a moderate investor)
N, B ≥ 0 (non-negativity constraint)
(b)
To solve the problem using Excel Solver, you can set up the following spreadsheet model:
Cell A1: N (amount invested in the internet fund)
Cell B1: B (amount invested in the Blue Chip fund)
Cell C1: =0.09A1 + 0.08B1 (annual return for the portfolio)
Constraints:
Cell A2: ≤ 85
Cell B2: ≤ 85
Cell C2: ≤ 55
Cell D2: ≤ 410
The objective is to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints.
Using Excel Solver, set the objective to maximize the value in cell C1 by changing the values in cells A1 and B1, subject to the constraints in cells A2, B2, C2, and D2.
The recommended investment portfolio (in dollars) for this client can be found by reading the values in cells A1 and B1.
(b)
For the aggressive investor with a maximum portfolio risk rating of 450, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 450
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
(d)
For the conservative investor with a maximum portfolio risk rating of 320, the linear programming model remains the same, except for the constraint on the maximum risk rating.
The new constraint would be: 6N + 4B ≤ 320
Using the same spreadsheet model as before, with the updated constraint, you can solve for the recommended investment portfolio (in dollars) by reading the values in cells A1 and B1.
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17 students said they enjoy summer the most.
4 of the girls said they enjoy winter.
The ratio between boys and girls is 8 : 11.
The probability of picking a student at random who enjoys Summer is 38
Twice as many of the girls chose summer over spring.
7 boys chose summer.
Autumn was chosen by 3 more boys than girls.
The probability of picking a boy at random who chose spring is 18.75%
Answers
I attached the filled out table.
We can immediately fill out the girl/winter slot and boy/summer spot.
Knowing that there are 17 total summer lovers and 7 boy/summer, we know 10 girls love summer.
Twice as many girls picked summer than spring, so 10/2 is 5 girls picking spring.
The last clue reads weird, but says that if you pick a spring lover, there is an 18.75% chance of it being a boy, so x/(x+5)=0.1875 x=1.
38% of interviewed students preferred summer, so: 17/x = 0.38 Total students= 45
Now the annoying part:
We know that for every 8 guys, there are 11 girls.
So if we fiddle around with scaling that ratio to find the combination the adds up to 45, we get a scale of 2.35.
2.35*8=19 and 2.35*11=26
So the total number of girls is 26, meaning the number of girl/autumn is 26-5-4-10=7
Three more boys chose autumn than the girls, so 10 boy/autumn.
Total boys is 19, 1 spring, 7 summer, and 10 autumn leaves 1 to pick winter.
Good lord that took me too long to do.
Use your measuring devices and right angle trigonometry to calculate the length of the hypotenuse of this triangle.
Note: you will need to use some creativity to find an angle inside the triangle.
Answers
Using trigonometric functions, we can find the value of hypotenuse to be 5.88m.
Define trigonometric functions?The six basic trigonometric operations take the angle of the right triangle as their domain input value and produce a range of numbers as their output.
The range of the trigonometric function, commonly referred to as the "trig function," of f(x) = sinθ is [-1, 1], and its domain is the angle, expressed in degrees or radians. The other functions have a similar domain and scope. Algebra, geometry, and calculus all make extensive use of trigonometric functions.
Here in the figure,
The angle given is 31°.
Now the opposite angle inside the triangle will be 31° due to the congruent angle theorem.
Now Sin 31° = 3/Hypotenuse
⇒ Hypotenuse = 3/Sin31°
⇒ H = 3/0.51
⇒ H = 5.88
Therefore, length of the hypotenuse = 5.88m
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HELP GOT HW FROM MY LITTLE BROTHER AND DO NOT UNDER STAND IT (WILL GIVE BRAINLY
Answers
Answer:
answers below
Step-by-step explanation:
a) As the number of days,d, Kenton has been training increases, the total number of miles he ran, t, increases.
Alternative: As the day number increases, the total number of miles Kenton ran also increases.
b) t = 2.5*d
pls help i am speedrunning overdues rn
Answers
The amount of soil needed to fill the garden box is given as follows:
1728 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
19 ft, 12 ft and 6 ft.10 ft, 3 ft and 12 ft.Hence the volume is given as follows:
V = 19 x 12 x 6 + 10 x 3 x 12
V = 1728 ft³.
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HELP PLSS
This assignment is past the original due date of Sun 04/24/2022 11:59 pm. You were granted an extension Due Tue 05/17/2022 11:59 p Find the consumer's and producer's surplus if for a product D(x) = 25
Answers
To find the consumer's and producer's surplus, we need more information about the demand and supply functions or the market equilibrium.
You provided the demand function D(x) = 25, but we require additional details to proceed with the calculations. The consumer's surplus is the difference between the maximum price consumers are willing to pay and the price they actually pay. It represents the benefit or surplus gained by consumers in a market transaction.
The producer's surplus is the difference between the minimum price producers are willing to accept and the price they actually receive. It represents the benefit or surplus gained by producers in a market transaction.
To calculate these surpluses, we typically need information about the supply function, equilibrium price, and equilibrium quantity. These values help determine the areas of the consumer's and producer's surpluses on the supply-demand graph.
Please provide the necessary information about the supply function, equilibrium price, or any other relevant details so that I can assist you in calculating the consumer's and producer's surplus accurately.
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5) You order movie tickets from a website for $7.00 each. You must also pay a shipping fee of $4.00.
Find the maximum number of tickets you can purchase for $40.
1 point
Answers
Answer:
3
Step-by-step explanation:
7+4 is 11
11,22,33 is the maximum which is 3
Which of the following is the quotient of the rational expressions shown
below?
X/3x-1 divide x-2/2x
Answers
Answer: To divide two rational expressions, you need to first find the least common denominator (LCD) of the two expressions. The LCD is the least common multiple of the two denominators.
In this case, the rational expressions are x/(3x-1) and (x-2)/(2x). The LCD of these two expressions is (3x-1)(2x), which can be factored as 6x(x-1).
To divide the two rational expressions, you need to express each expression as a fraction with the LCD as the denominator.
The first expression, x/(3x-1), can be rewritten as (x * (2x))/(3x-1 * (2x)) = (2x^2)/(6x^2-2x).
The second expression, (x-2)/(2x), can be rewritten as ((x-2) * (3x-1))/(2x * (3x-1)) = (3x^2-3x+2)/(6x^2-2x).
To divide these two expressions, you can divide the numerators and the denominators separately:
(2x^2)/(6x^2-2x) ÷ (3x^2-3x+2)/(6x^2-2x)
= (2x^2) ÷ (3x^2-3x+2)
= (2/3)x^2 ÷ (x^2-x+2/3)
Therefore, the quotient of the rational expressions x/(3x-1) and (x-2)/(2x) is (2/3)
Step-by-step explanation:
what’s the X intercept and Y intercept ?
Answers
Answer:
x-intercept: (1,0) & (3,0)
y-intercept: (0,3)
*these are the other blanks* ....
vertex: (2,1)
line of symmetry: y = 2
Can someone PLEASE HELP ME!!!
In a laboratory experiment, the population of bacteria in a petri dish started off at 7400 and is growing exponentially at 13% per hour. Write a function to represent the population of bacteria after t hours, where the rate of change per minute can be found from a constant in the function. Round all coefficients in the function to four decimal places. Also, determine the percentage rate of change per minute, to the nearest hundredth of a percent.
Answers
The function to represent the bacteria population after t hours is f(t) = 7400 * \(e^(0.13/60 * t)\).
What is derivative?A derivative is a measure of how much a function changes as its input value changes. It is defined as the limit of the rate of change of the function with respect to its input as the change in the input approaches zero.
According to question:The function to represent the bacteria population after t hours, where the function's constant can be used to calculate the rate of change per minute is:
f(t) = 7400 * \(e^(0.13/60 * t)\)
where:
f(t) = population of bacteria after t hours
e = Euler's number (approximately 2.71828)
t = time in hours
0.13/60 = rate of change per minute (converted from 13% per hour)
To determine the percentage rate of change per minute, we can calculate the derivative of the function with respect to time (t):
df/dt = 7400 * 0.13/60 * \(e^(0.13/60 * t)\)
At t = 0 (the start of the experiment), the rate of change per minute is:
df/dt = 7400 * 0.13/60 * \(e^(0.13/60 * 0)\) = 12.1166
To express this rate of change as a percentage, we can divide it by the initial population and multiply by 100:
rate of change per minute = (df/dt) / P(0) * 100% = 12.1166 / 7400 * 100% = 0.1638% (rounded to the nearest hundredth of a percent)
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find the area of the region bounded by the curve y= 18 x2−6x−72, the x-axis, and the lines x=−3 and x=3.
The area of the region is (Type an exact answer.)
Answers
The area of the region y = 18x² - 6x - 72, bounded by the curve x-axis and lines x = -3 and x = 3 is equal to -54 square units.
To find the area of the region bounded by the curve y = 18x² - 6x - 72, the x-axis, and the lines x = -3 and x = 3,
Use definite integration.
The area can be calculated by integrating the absolute value of the function y = 18x² - 6x - 72 over the interval [-3, 3].
To find the area, use the following integral,
A = ∫₋₃³ |18x² - 6x - 72| dx
Let's break down the integral into two parts, as the function inside the absolute value changes sign at the roots,
A = ∫₋₃³(18x² - 6x - 72) dx + ∫₋₃³ (-18x² + 6x + 72) dx
Now, integrate each part separately,
For the first part, integrating (18x² - 6x - 72) dx from -3 to 3,
∫₋₃³ (18x² - 6x - 72) dx
= [6x³ - 3x² - 72x] [-3 to 3]
= [(6(3)³ - 3(3)² - 72(3)) - (6(-3)³ - 3(-3)² - 72(-3))]
= [162 - 54 - 216] - [(-162) - 54 + 216]
= -54 - 162 - 54 + 216
= -54
For the second part, integrating (-18x² + 6x + 72) dx from -3 to 3,
∫₋₃³ (-18x² + 6x + 72) dx = [-6x³ + 3x² + 72x] [-3 to 3]
= [(-6(3)³ + 3(3)² + 72(3)) - (-6(-3)³ + 3(-3)² + 72(-3))]
= [(-162 + 27 + 216) - (-162 + 27 - 216)]
= 54 + 162 - 54 - 162
= 0
Adding the two parts together,
A = -54 + 0
= -54
Therefore, the area of the region bounded by the curve y = 18x² - 6x - 72, the x-axis, and the lines x = -3 and x = 3 is -54 square units.
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just help and explain. tryna bring up my grade lol and no it’s not a test.
Answers
Answer:
0
Step-by-step explanation:
Answer: WE create 0
Step-by-step explanation: SINCE 5 and -5 are opposites they cancel out to 0.
How can you use transformations to graph this
function?
y=3•771+2
Explain your steps.
Answers
To graph the function y=3x+2 using transformations, we first need to understand the basic graph of y=x.
The graph of y=x is a straight line that passes through the origin at a 45-degree angle. We can then use transformations to modify the basic graph to fit the equation y=3x+2.
The first transformation is a vertical shift of two units upward. We can achieve this by adding +2 to the function. The next transformation is a horizontal stretch of three units.
This means that the x-values are multiplied by 3, resulting in a steeper slope. Therefore, we can obtain the final graph by applying both transformations to the basic graph of y=x.
To summarize, we can graph y=3x+2 by starting with the basic graph of y=x and applying a vertical shift of two units upward and a horizontal stretch of three units.
The equation of the transformed graph is y=3x+2, which has a steeper slope than y=x and is shifted two units upward.
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Which are characteristics of the graph of the function f(x) = (x + 1)2 + 2? Check all that apply
Answers
Answer:
A. the domain is all real numbers. and
B.the y-intercept is 3
Which scatterplot shows a positive liner association
Answers
Answer:
D.
Step-by-step explanation:
The points are pointing up in a positive direction so it would be postive.
I NEED HELP PLEASEEE
Answers
Answer:
26.6
Step-by-step explanation:
First, let's find the triangle that we'll be working with. We have an side adjacent to x that's 14m and a side opposite to x that's 7m (this is because we must subtract 2.5 from 8.5, but also add that 1). From here, we can use arctan (inverse of tangent function). Tangent is opposite/adjacent, so 7/14. We can input this into a calculator (MAKE SURE IT'S ON DEGREES NOT RADIANS I can't tell you how many times I forget to do this lol), as \(arctan(7/14)\). This should give us 26.56. From here, we round up to the nearest tenth and...solved!
let me know if this helps!
Pls Pls help asap! no f links pls n will give brainliest n points?
How could you show
Answers
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
From the given figure, KR=9 units, RL=15 units, MT=7.5 units and TL=12.5 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
Consider ΔKML and ΔRTL, we get
RL/KL =15/(15+9)
= 15/24
= 5/8
TL/ML =12.5/(12.5+7.5)
= 12.5/20
= 5/8
Here, RL/KL=TL/ML
Here, ∠KLM≅∠RLT
By SAS similarity, ΔKML and ΔRTL are similar triangles
So, ∠KMT≅∠RTL
By SAS similarity, ΔKML and ΔRTL are similar triangles. Therefore, option A is the correct answer.
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Answer:
a
Step-by-step explanation:
got it right in edmentum
An inclined plane that forms a 30° angle with the horizontal is thus released from rest, allowing a thin cylindrical shell to roll down it without slipping. Therefore, we must determine how long it takes to travel five metres. Given his theta, the distance here will therefore be equivalent to five metres (30°).
Answers
The transformation of System A into System B is:
Equation [A2]+ Equation [A 1] → Equation [B 1]"
The correct answer choice is option D
How can we transform System A into System B?
To transform System A into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
System A:
-3x + 4y = -23 [A1]
7x - 2y = -5 [A2]
Multiply equation [A2] by 2
14x - 4y = -10
Add the equation to equation [A1]
14x - 4y = -10
-3x + 4y = -23 [A1]
11x = -33 [B1]
Multiply equation [A2] by 1
7x - 2y = -5 ....[B2]
So therefore, it can be deduced from the step-by-step explanation above that System A is ultimately transformed into System B as 1 × Equation [A2] + Equation [A1]→ Equation [B1] and 1 × Equation [A2] → Equation [B2].
The complete image is attached.
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Consider the points in the table below. Determine whether each point would be less than, greater than, or exactly equal to 15 units from the origin if plotted in the coordinate plane.
Answers
In mathematics, a table is a set of data arranged in rows and columns. It is used to organize and present information in a clear and concise manner, making it easier to understand and analyze.
Since the origin has coordinates (0,0), the distance from any point (x,y) to the origin is given by the distance formula:
d = sqrt((x - 0)^2 + (y - 0)^2) = sqrt(x^2 + y^2)
Using this formula, we can determine whether each point is less than, greater than, or exactly equal to 15 units from the origin:
Point Distance from Origin
(3,4) 5
(6,-8) 10
(-10, -12) 15.62
(0,0) 0
(5,12) 13
Therefore, we can say that:
The point (3,4) is less than 15 units from the origin.
The point (6,-8) is less than 15 units from the origin.
The point (-10, -12) is greater than 15 units from the origin.
The point (0,0) is exactly equal to 15 units from the origin.
The point (5,12) is less than 15 units from the origin.
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prove the conjecture you made in part (a). f(x) = sin(3x) sin(x) − cos(3x) cos(x)
Answers
To prove the conjecture made in part (a), we need to show that the given function f(x) = sin(3x) sin(x) − cos(3x) cos(x) can be simplified using trigonometric identities to obtain a simpler expression that is equivalent to f(x).
First, we can use the product-to-sum identity to rewrite f(x) as follows:
f(x) = [sin(3x) sin(x)] - [cos(3x) cos(x)]
= 1/2 [(cos(2x) - cos(4x))] - 1/2 [(cos(4x) + cos(2x))]
= 1/2 [-2 cos(4x)]
Next, we can use the identity cos(2x) = 2 cos^2(x) - 1 and cos(4x) = 2 cos^2(2x) - 1 to simplify the expression further:
f(x) = 1/2 [-2 cos(4x)]
= -cos(4x)
= -2 cos^2(2x) + 1
= -2 [2 cos^2(x) - 1]^2 + 1
Thus, we have simplified the original expression to obtain an equivalent expression that is much simpler. Hence, we have proven the conjecture made in part (a) that the function f(x) = sin(3x) sin(x) − cos(3x) cos(x) can be simplified to f(x) = -2 [2 cos^2(x) - 1]^2 + 1.
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Circle 1 center (-7,6) and radius 2Circle 2 centar (12, 12) and radius 1What transformations can be applied to Circle 1 to prove that the circles are similar?Enter your answers in the boxesThe translation of the center (-7, 6) to the center (12.12) is given by the rule (x,y) →The dilation from Circle 1 to Circle 2 has a scale factor of
Answers
The translation to the center (-7,6) to the center (12,12) is given by the rule
\((x,y)\longrightarrow(x+19,y+6)\)On the other hand, the dilation from circle 1 to circle 2 has a scale factor given by the ratio of the given radii, that is,
\(\begin{gathered} \text{scale factor=}\frac{new\text{ lenght}}{\text{original length}} \\ \text{scale factor=}\frac{1}{2} \end{gathered}\)Then the scale factor is 1/2.
Find the trig ratio. Reduce to
lowest terms.
6
А
8
[?]
COS A =
![Find the trig ratio. Reduce tolowest terms.68[?]COS A =](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/BzHmcizsfykQw0YCQcMZRcfXMgaoDYK1.png)
Answers
COS A=0.8
Step-by-step explanation:
2^6+8^2
100
sqrt(100)=10
8/10
0.8
Answer:
cos is 4/5
tan is 3/4
and sin is 3/5
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Answers
Answer:
1.Location
2.shape
3.orientation
Step-by-step explanation:
Answer: Orientation
Step-by-step explanation:
Basically how the shape looks like on a graph for example a right side up triangle would look different from a upside down triangle
This one is really hard can you pls help me
Answers
Answer:
i think it is d and b
Step-by-step explanation:
1) suppose the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane. how many possible states are there? how many paths are there to the goal? provide assumptions for your answer
Answers
There will be infinite number of states and paths when the state space is (x,y) as the state space (i.e., a set of possible locations for the robot) consists of all possible positions (x, y) in the plane.
What is state space?The collection of every possible setup for a system is its state space. It is a common abstraction in the study of artificial intelligence and game theory because it can be used to reason about the behavior of a specific system. A state space is typically introduced into a system description without being given any thought to its precise physical meaning. However, it is well known that choosing an appropriate state space representation makes it simpler for us to comprehend or control a system's property.
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: Question 2 Candy Chemical Berhad is a manufacturer of a chemical solution for industrial purposes. The product is called Oxychemical. The following information relates to the operation of Candy Chemical Berhad 0 Budgeted production and sales units are 120,000 can of Oxychemical per annum () A standard can of an Oxychemical consists of the following costs Direct material Direct labour Variable overhead Fixed overhead 12 litres at RM15 per tre 4 hours at RM12 per hour 4 hours at RM16 per hour RM10 per hour () All overheads are absorbed based on direct labour hours. (iv) The standard selling price per can for Oxychemical is RM450. (v) Actual results for the manufacture and sales of Oxychemical for the month of December 2021 were as follows: Sales 12,000 cans at RM430 per can 13,000 cans Production Direct material 160,000 litres at RM14 per litre Direct labour worked and 55,000 hours at RM12.50 per hour paid Variable overhead RM828,000 Fixed overhead RM440,000 (vi) There were no opening inventories of finished goods Required to calculate the following variances, indicating whether each is favourable (F) or unfavourable (UF) (a) Direct material price. (3 marks) (b) Direct material usage. (3 marks) (c) Direct labour rate. (3 marks) (d) Direct labour efficiency (3 marks) (0) (3 marks) (1) Fixed overhead efficiency (3 marks) (9) Fixed overhead expenditure. (3 marks) (h) Briefly explain ONE (1) possible cause for favourable in direct labour rate and efficiency variances (4 marks) [25 Mark] Variable overhead expenditure
Answers
To calculate the variances, we need to compare the actual costs and quantities with the standard costs and quantities. Let's calculate each variance step by step:
(a) Direct material price variance:
Actual cost of direct material = 160,000 litres x RM14/litre = RM2,240,000
Standard cost of direct material = 160,000 litres x RM15/litre = RM2,400,000
Direct material price variance = Actual cost - Standard cost
= RM2,240,000 - RM2,400,000
= -RM160,000 (unfavourable)
(b) Direct material usage variance:
Actual usage of direct material = 160,000 litres
Standard usage of direct material = 120,000 cans x 12 litres/can = 1,440,000 litres
Direct material usage variance = Standard cost - Actual cost
= RM2,400,000 - RM2,240,000
= RM160,000 (favourable)
(c) Direct labour rate variance:
Actual cost of direct labour = 55,000 hours x RM12.50/hour = RM687,500
Standard cost of direct labour = 120,000 cans x 4 hours/can x RM12/hour = RM5,760,000
Direct labour rate variance = Actual cost - Standard cost
= RM687,500 - RM5,760,000
= -RM5,072,500 (unfavourable)
(d) Direct labour efficiency variance:
Actual hours worked = 55,000 hours
Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours
Direct labour efficiency variance = Standard cost - Actual cost
= RM5,760,000 - RM687,500
= RM5,072,500 (favourable)
(e) Variable overhead expenditure variance:
Actual variable overhead = RM828,000
Standard variable overhead = 55,000 hours x RM16/hour = RM880,000
Variable overhead expenditure variance = Actual variable overhead - Standard variable overhead
= RM828,000 - RM880,000
= -RM52,000 (unfavourable)
(f) Fixed overhead efficiency variance:
Actual hours worked = 55,000 hours
Standard hours allowed = 120,000 cans x 4 hours/can = 480,000 hours
Fixed overhead efficiency variance = Standard fixed overhead - Actual fixed overhead
= RM440,000 - (55,000 hours x RM10/hour)
= RM440,000 - RM550,000
= -RM110,000 (unfavourable)
(g) Fixed overhead expenditure variance:
Actual fixed overhead = RM440,000
Standard fixed overhead = 55,000 hours x RM10/hour = RM550,000
Fixed overhead expenditure variance = Actual fixed overhead - Standard fixed overhead
= RM440,000 - RM550,000
= -RM110,000 (unfavourable)
(h) Possible cause for favourable direct labour rate and efficiency variances:
One possible cause for favourable direct labour rate and efficiency variances could be improved productivity or efficiency in the production process. It could be due to employees working more effectively, reducing the time required to complete tasks and thus resulting in lower costs. Additionally, the company may have negotiated lower labour rates or implemented cost-saving measures in the labour component.
Note: It's important to consider the given units and values while performing the calculations, and to round the variances appropriately based on the given requirements.
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Write 86% as a fraction. Simplify your answer.
Answers
Answer:
43/50.
86/100 can be simplified, divide by 2.
43/50 cannot be simplified as 43 is prime.