CASE :
A stationery shop has been running for 10 years and is located
near a campus where you study in Jakarta. You often stop by this
store to buy stationery, markers, rulers, and photocopiers for
co
The given paragraph states that a stationery shop has been running for 10 years near campus in Jakarta.
Students like the asker often visit this store to purchase stationery, markers, rulers, and photocopiers.
The word "been" is a past participle of the verb "be." It is used to show the completion of an action in the past.
In this case, it implies that the stationery shop has been operating for the past 10 years near the campus.
The sentence can be rewritten as follows to make use of the word "been":
"The stationery shop has been providing stationery, markers, rulers, and photocopiers to students near the campus for 10 years."
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how do i solve 2.5a+12=5a
Answer:
a
=
4.8
Step-by-step explanation:
there
Determine the frequency of each class in the table shown. Number of Candles in a Glass Jar Class Frequency 1003 1062 1063 1122 1123 1182 1183 1242 1243 1302 1303 1362
The frequency of a class is the number of data points that fall within the class is 1.
To determine the frequency of each class in the table shown, we must first divide the data points into the respective classes. The classes are 1003, 1062, 1063, 1122, 1123, 1182, 1183, 1242, 1243, 1302, 1303, and 1362.
For the class 1003, the frequency is 1, since there is only one data point (1003) in this class.
For the class 1062, the frequency is also 1 since there is only one data point (1062) in this class.
For the class 1063, the frequency is also 1 since there is only one data point (1063) in this class.
For the class 1122, the frequency is 1 since there is only one data point (1122) in this class.
For the class 1123, the frequency is 1 since there is only one data point (1123) in this class.
For the class 1182, the frequency is 1 since there is only one data point (1182) in this class.
For the class 1183, the frequency is 1 since there is only one data point (1183) in this class.
For the class 1242, the frequency is 1 since there is only one data point (1242) in this class.
For the class 1243, the frequency is 1 since there is only one data point (1243) in this class.
For the class 1302, the frequency is 1 since there is only one data point (1302) in this class.
For the class 1303, the frequency is 1 since there is only one data point (1303) in this class.
For the class 1362, the frequency is 1 since there is only one data point (1362) in this class.
Therefore, the frequency of each class in the table shown is 1.
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It takes a man 6 hours to row a boat 24km upstream and covers a distance of 36 km downstream in 6 hours. What will be the speed of the man in still water
Answer:
5 km/h
Step-by-step explanation:
Speed of man in still water = s
Speed of current = c
Speed upstream = s - c
Distance upstream = 24 km
Time upstream = 6 hours
Speed downstream = s + c
Distance downstream = 36 km
Time downstream = 6 hours
Speed Equation
speed = distance/time
distance = speed × time
d = st
We write a distance equation for upstream and a second distance equation for downstream.
Upstream:
d = st
24 = (s - c) × 6
Divide both sides by 6 and switch sides:
s - c = 4 Equation 1
Downstream:
d = st
36 = (s + c) × 6
Divide both sides by 6 and switch sides.
s + c = 6 Equation 2
We now have two equations in two variables. We use equations 1 and 2 as a system of equations.
s - c = 4
s + c = 6
Add the equations to use the addition method.
2s = 10
s = 5
Answer: 5 km/h
What multiplication equattion can be used to explain the solution to 15 / 1/3
Step-by-step explanation:
15 / (1/3) is equal to 15 x 3/1 = 15 x 3 = 45
What is a2-b2 equal to?
Find the value of if the perimeter of the rectangle is 30inches. The length is 2x + 3and the width is x
Answer:
The perimeter of a rectangle is 30 meters. The length of the rectangles is 3 meters more than twice the width. Find the dimensions of the rectangle.
Step-by-step explanation:
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = x
Length = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,
30=2x+4x+6 combining like terms
30=6x+6 subtracting 6 from both sides,
24=6x divide both sides by 6
4=x This means that the width is 4 m
To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for
L=2(4)+3
L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m
Differential Equations: Solving Homogeneous Second Order Linear DEs with Constant Coefficients
Exercise Set 6.
1.
(a) Show that, for all constants A and B, there exist constants E, δ, and µ such that A cos(ωx) + B sin(ωx) = E sin(ωx − δ) = F sin(ωx + µ) [Hint: Take E = √ A2 + B2 and force it as a factor of the lefthand side. Be sure to define δ and µ carefully.]
(b) Interpret these constants by referring to the graph of the solution.
(c) Find a second order linear differential equation whose general solution is F sin(ωx + µ) + 3.
2. Suppose that the solutions to the characteristic equation are m1 and m2. List all the cases in which the general solution y(x) has the property that y(x) → 0 as x → +[infinity]
The characteristic equation are m1 and m2 are both real and negative, complex conjugates with negative real parts.
1.(a) Given A
\(cos(ωx) + B sin(ωx)\),
we can define E, δ, and µ such that:
\(E = √(A^2 + B^2)\)
\(tan(δ) = A/B\)
\(tan(µ) = -B/A\)
Using these definitions, we can rewrite the original expression as:
\(E sin(ωx - δ) = √(A^2 + B^2) sin(ωx - arctan(A/B))\)
\(F sin(ωx + µ) = √(A^2 + B^2) sin(ωx + arctan(-B/A))\)
(b) The constant E represents the amplitude of the sinusoidal function. The constants δ and µ represent phase shifts in the sine function, affecting where the peaks and troughs occur on the graph of the solution.
(c) A second-order linear differential equation with general solution
F\( sin(ωx + µ) + 3 \)
\(y'' + ω^2y = 3ω^2F sin(ωx + µ) + 3ω^2\)
2. The general solution y(x) will have the property
\(y(x) → 0 as x → +∞\)
- m1 and m2 are both real and negative.
- m1 and m2 are complex conjugates with negative real parts.
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9x -7u > 9x -21u
solve please :)
Answer:
(-∞,∞) is your answer sorry if it looks like a face
Step-by-step explanation:
Find the mean, median, mode and range 28,45,53,28, 47 show work please
Value of mean is, 40.2
Value of median is, 45
Value of mode is, 28
Value of range is, 25
Given that;
Data set is,
⇒ 28, 45, 53, 28, 47
Now, We can arrange into ascending order as;
⇒ 28, 28, 45, 47, 53
Hence, Value of mean is,
⇒ (28 + 28 + 45 + 47 + 53) / 5
⇒ 40.2
And, The value of median is,
⇒ (5 + 1) / 2
⇒ 6/2
⇒ 3rd term
⇒ 45
The value of mode =28
And, The value of range is,
⇒ 53 - 28
⇒ 25
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which of the following could be the value of |x-3|+4 for some value of x? A) -2 B) 1 C) 3 D) 5
Answer:
5
Step-by-step explanation:
|x-3|+4
The minimum value that an absolute value can take is zero
0+4
4
The smallest value is 4
The answer must be 4 or greater
The only answer that is possible is 5
13) This is a number wall. To find the number in each block you add the numbers in two blocks below. Find the value of y in this wall. 2 25 y 9 4/8 ●●●
The value of y is 7.
We have the structure
25
a b
2 y 9
So, (2+y) = a
and, y +9 = b
Then, a+ b= 25
2 +y + y + 9= 25
2y + 11 = 25
2y = 14
y= 7
Thus, the value of y is 7.
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Help me solve thank you will give 20 points
Answer:
Natalie bought 500 apples at $0.40 each, then she pays $0.40 500 times, this means that the total cost of the 500 apples is:
Cost = 500*$0.40 = $200
Now she threw away n apples from the 500 apples, then the number of apples that she has now is:
apples = 500 - n
And she sells the remaining apples for $0.70 each.
a) The amount that she gets by selling the apples is:
Revenue = (500 - n)*$0.70
b) We know that she did not make a loss, then the revenue must be larger than the cost, this means that:
cost ≤ revenue
$200 ≤ (500 - n)*$0.70
c) We need to solve the inequality for n.
$200 ≤ (500 - n)*$0.70
$200/$0.70 ≤ (500 - n)
285.7 ≤ 500 - n
n + 285.7 ≤ 500
n ≤ 500 - 285.7
n ≤ 214.3
Then the maximum value of n must be equal or smaller than 214.3
And n is a whole number, then we can conclude that the maximum number of rotten apples can be 214.
1. What is -2y + 10 + 2y - 8 simplified?
Answer:
2
General Formulas and Concepts:
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define expression
-2y + 10 + 2y - 8
Step 2: Simplify
Combine like terms (y): 10 - 8Combine like terms (constants); 2Answer:
Step-by-step explanation:
-2y + 10 + 2y - 8 = 20 - 8 = 2
fastt
13. Calculate the compound interest of an annuity due of BD400 paid each 4 months for 6.2 years if the nominal rate is 3% thirdly? (3 Points)
Therefore, the compound interest of the annuity due of BD 400 paid each 4 months for 6.2 years at a nominal rate of 3% per annum is BD 40,652.17.
Compound interest of an annuity due can be calculated using the formula:A = R * [(1 + i)ⁿ - 1] / i * (1 + i)
whereA = future value of the annuity dueR = regular paymenti = interest raten = number of payments First, we need to calculate the effective rate of interest per period since the nominal rate is given per annum. The effective rate of interest per period is calculated as
:(1 + i/n)^n - 1 = 3/1003/100 = (1 + i/4)^4 - 1
(1 + i/4)^4 = 1.0075i/4 = (1.0075)^(1/4) - 1i = 0.0303So,
the effective rate of interest per 4 months is 3.03%.Next, we can substitute the given values in the formula:
A = BD 400 * [(1 + 0.0303)^(6.2 * 3) - 1] / 0.0303 * (1 + 0.0303)A = BD 400 * [4.227 - 1] / 0.0303 * 1.0303A = BD 400 * 101.63A = BD 40,652.17
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BRAINLIEST GOES TO THE CORRECT ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
11.99
Step-by-step explanation:
Question 5(Multiple Choice Worth 2 points)
(Area of Polygons and Composite Figures MC)
A composite figure is shown.
3 cm
24.52 cm²
31.49 cm²
42.07 cm²
12.7 cm
Which of the following represents the total area of the figure?
49.04 cm²
5 cm
3.4 cm
6.8 c
The total area of Polygons and Composite Figures is 24.52 cm².
How to obtain the area of the figure?
The total area of the figure is composed by the sum of the areas of each part of the figure.
The figure is composed as follows:
Right triangle of sides 2.7 cm and 3 cm.
Right triangle of sides 3.4 cm and 6.8 - 2.7 = 4.1 cm.
The rectangle has of dimensions 5 cm and 2.7 cm.
The area of a right triangle is given by half the multiplication of the sides, hence:
0.5 x 2.7 x 3 = 4.05 cm².
0.5 x 3.4 x 4.1 = 5.61 cm².
The area of a rectangle is given by the multiplication of the dimensions, hence:
5 x 2.7 = 13.5 cm².
Then the total area is given as follows:
13.5 + 6.97 + 4.05 = 24.52 cm².
Hence, the total area of Polygons and Composite Figures is 24.52 cm².
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PQR ~MNO. What is the length of side QR?
The length of the QR is 16 cm when PQR ~MNO
In the given question, it is given that two similar triangles as PQR ~MNO
Then, the corresponding sides will be in equal proportion to each other as follows
PQ / MN = PR / MO = QR / NO
We need to find the length of the side QR
As above relations are given,
\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)
\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)
Equating all the fractions, equal to each we'll find
\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)
5x + 7 = 3(x +5)
5x + 7 = 3x + 15
2x = 8
x = 4
We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm
Therefore, the length of the QR is 16 cm when PQR ~MNO
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Total expenditures in a country (in billions of dollars) are increasing at a rate of f(x) = 8.22X + 87 23, where x = 0 corresponds to the year 2000. Total expenditures were $1590.5 billion in 2002 a. Find a function that gives the total expenditures x years after 2000 b. What will total expenditures be in 2017? a. What is the function for the total expenditures? F(x)= (Simplify your answer Use integers or decimals for any numbers in the expression) billion. b. In 2017, total expenditures will be s (Type an integer or a decimal)
a. The function for the total expenditures is F(x) = 4.11x² + 87.23x + 1386.52
b. In 2017, total expenditures will be 3669.57 billion dollars.
a. Since the rate of increase of total expenditures is given as f(x) = 8.22x + 87.23, the function that gives the total expenditures x years after 2000 can be found by integrating the rate of increase:
F(x) = ∫ f(x) dx = 4.11x² + 87.23x + C
Since the total expenditures were $1590.5$ billion in 2002, we can use this information to find the constant $C$:
F(2) = 4.11(2)² + 87.23(2) + C = 1590.5
Solving for C, we get:
C = 1386.52
Therefore, the function that gives the total expenditures x years after 2000 is:
F(x) = 4.11x² + 87.23x + 1386.52 (in billions of dollars)
b. To find the total expenditures in 2017, we need to substitute x = 17 in the function F(x):
F(17) = 4.11(17)² + 87.23(17) + 1386.52≈ 3669.57
Therefore, the total expenditures in 2017 will be approximately 3669.57 billion dollars.
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Suppose that A is a 4 times 7 matrix that has an echelon form with two zero rows. Find the dimension of the row space of A, the dimension of the column space of A, and the dimension of the null space of A. The dimension of the row space of A is . The dimension of the column space of A is . The dimension of the null space of A is .
The dimension of the row space of matrix A is 2, the dimension of the column space of A is 4, and the dimension of the null space of A is 3.
To find the dimension of the row space of A, we can count the number of nonzero rows in the echelon form. Since there are two zero rows, the echelon form has 4 - 2 = 2 nonzero rows. Therefore, the dimension of the row space of A is 2.
To find the dimension of the column space of A, we can count the number of pivot columns in the echelon form. Since there are two zero rows, there are at most 5 pivot columns. However, since A is a 4 times 7 matrix, there must be exactly 4 pivot columns. Therefore, the dimension of the column space of A is 4.
To find the dimension of the null space of A, we can use the rank-nullity theorem. The rank of A is the dimension of the column space, which we found to be 4. The nullity of A is the dimension of the null space, which is given by nullity(A) = n - rank(A), where n is the number of columns of A. In this case, n = 7.
Therefore, nullity(A) = 7 - 4 = 3. Therefore, the dimension of the null space of A is 3.
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Factor Completely.
x^4-81
Answer:
(x^2+9)(x+3)(x-3) or the 3rd bubble (2nd to last).
Step-by-step explanation:
a2−b2=(a+b)(a−b)a2-b2=(a+b)(a-b) where a=x2a=x2 and b=9b=9.
(x2+9)(x+3)(x−3)
What is the surface area of a cube that has a length of 3 inches?
Answer:
A=6a^2
Step-by-step explnation:
Solve for x: 2/5 (X-4) = 2x
Match the following symbols or terms used in the simple regression model to their correct definitions. Each definition is only used once.
- A. B. C. D. E. F. G. β1
- A. B. C. D. E. F. G. β0
- A. B. C. D. E. F. G. b0
- A. B. C. D. E. F. G. Y with hat
- A. B. C. D. E. F. G. epsilon
- A. B. C. D. E. F. G. e subscript i
- A. B. C. D. E. F. G. b1
A. a regression residual, the difference between the actual value of y and the estimated value of y
B. the true slope parameter of the regression line
C. the estimated slope parameter of the regression line
D. the true y intercept parameter of the regression line
E. the estimated mean of Y for a given value of the X variable
F. the estimated y intercept of the regression line
G. the random error term of the regression model
A regression residual, which is the difference between the actual value of Y and the estimated value of Y, is represented by e subscript i (A).
A. a regression residual, the difference between the actual value of y and the estimated value of y
B. the true slope parameter of the regression line
C. the estimated slope parameter of the regression line
D. the true y intercept parameter of the regression line
E. the estimated mean of Y for a given value of the X variable
F. the estimated y intercept of the regression line
G. the random error term of the regression model
In the simple regression model, there are several symbols and terms used to represent different parameters and variables.
The true slope parameter of the regression line is represented by β1 (B), while the true y intercept parameter is represented by β0 (D). The estimated slope parameter is represented by b1 (C), and the estimated y intercept is represented by b0 (F).
The estimated mean of Y for a given value of the X variable is represented by Y with hat (E), which is also known as the predicted or fitted value of Y.
The random error term of the regression model is represented by epsilon (G), which represents the variation in Y that cannot be explained by the regression line.
Finally, a regression residual, which is the difference between the actual value of Y and the estimated value of Y, is represented by e subscript i (A).
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Jose needed pieces of wood that were 2 1/5ft long. He had a board that was 15 feet long. How many whole pieces can he cut from that board?
Answer:
At most Jose can cut 6 whole pieces pieces with this length.
yeah, uhm can someone help me with this?
Answer:
-24
Step-by-step explanation:
\(x/4 + 8 = 2\\x/4 = 2 - 8\\x/4 = -6\\x = -6 *4\\x = -24\)
Solve the equation. m + (-22) = -25
Answer:
m=-3
Step-by-step explanation:
move the -22 to the other side by adding 22 on both sides:
m-22+22=-25+22
Simplify:
m=-3
Answer: m=-3
Hope this helps!
in a bag of marbles, 1 2 are red, 1 4 are blue, 1 6 are green, and 1 12 are yellow. you pick a marble without looking. what color marble are you most likely to choose?
The annual mean demand for a certain kitchen-table at Smart Home (SH) is 12,000 units. Ordering cost per order is $50, holding rate is 22%, and unit cost is $500. To apply the EOQ model with service level, demand data were collected daily. The daily demand is normally distributed, with a mean of 40 units and a standard deviation of 18 units. The lead time is 3 days.
If the cycle service level required is 95%, what is the reorder point for a lead time of 3 days?
a. 12000*(3/365)
Based on the daily normal distribution, the reorder point for the daily demand is 69.6. Thus, the reorder point for the 3-day lead time =3*69.6
172 (rounded up)
209 (rounded up)
If SH limits the amount spent on holding safety stock to (not more than) 10% of the total annual variable cost, what service level can be achieved? Calculate the funds available. You might need it to check on the answers provided.
With the funds made available the safety stock is 10 tables. The service level will be (3*40-10)/(3*40) = 91.67%.
10% of the TV(Q*) = $1148.913. So the service level achieved is (3*40)*500/1148.913 = 52%
With the funds available the Service Level achieved is less than 65%.
3.3 Management at SH wants to increase service level, therefore decides to increase the order size. Would this action improve the cycle service level?
a. Yes. The average inventory will increase, so more cycles will offer enough
inventory.
b. Yes. If the order size increases the safety stock also increases.
c. No. Order size does not affect the service level.
d. No. Larger orders means larger annual holding cost, so safety stock needs to
be lowered to keep costs down.
A second supplier is offering SH the same table, but requires a lead time of 30 days. To keep the service level at 95% SH will have to increase safety stock. Therefore, the second supplier is willing to reimburse HS for half of its ordering cost per order (reducing Co to $25 per order). Is this reduced Co sufficient to convince SH to switch suppliers based on total cost considerations? Pre-calculate the new safety stock (always round safety stock up!). You might use it when checking some of the answers below.
Yes. Annual ordering cost with supplier 2 is half the cost of supplier 1.
No. Because the lead time with supplier 2 is 10-times longer, so the safety stock will have to be 10-times larger.
Yes. The total cost with supplier 1 = 6011489; The total cost with supplier 2 = 6008124
No. The total cost with supplier 1 = $6017209. The total cost with supplier 2 = 6026054.
Comment: For the total cost calculations decimal point are ignored.
To apply the Economic Order Quantity (EOQ) model with service level, we need to calculate the EOQ and reorder point. Let's go step by step:
How we can apply the EOQ model with service level, demand data were collected daily?Calculate the EOQ (Economic Order Quantity):
EOQ formula: EOQ = sqrt((2 x Annual Demand x Ordering Cost) / Holding Cost per Unit)
Given:
Annual Demand (D) = 12,000 units
Ordering Cost (S) = $50
Holding Cost (H) = 22% of unit cost = 0.22 * $500 = $110
Using the formula:
EOQ = sqrt((2 x12,000 x $50) / $110) = sqrt(1,200,000 / $110) = sqrt(10,909.09) ≈ 104.47
Therefore, the EOQ for the kitchen-table at Smart Home is approximately 104 units.
Calculate the reorder point:
Reorder Point = (Demand per Day * Lead Time) + Safety Stock
Given:
Demand per Day = Daily Demand = 40 units
Lead Time = 3 days
Safety Stock = Z * Standard Deviation of Daily Demand
To calculate the safety stock, we need to determine the value of Z based on the desired service level. Let's assume a standard service level of 95%, which corresponds to a Z-value of 1.645 (for a normal distribution).
Safety Stock = 1.645 * Standard Deviation of Daily Demand
= 1.645 * 18
≈ 29.91
Reorder Point = (40 * 3) + 29.91
= 120 + 29.91
≈ 149.91
Therefore, the reorder point for the kitchen-table at Smart Home is approximately 150 units.
Please note that the calculations provided here assume that the demand and lead time are constant and that there are no stockouts or other factors affecting the inventory. In practice, these assumptions may not hold, and additional considerations may be required for accurate inventory management.
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A carpenter has to cut four lengths of wood, each 128cm long. What is the total length of wood that he needs?
Answer:
512cm
Step-by-step explanation:
same length of 128 4 times. 512