Answer:-4
Step-by-step explanation:this is where the line crosses the x axis or the value when y=0
FIN220 Q19
QUESTION 19 Based on the data below calculate the company's annual holding cost? Annual requirements = 7500 units Ordering cost = BD 12 Holding cost-BD 0.5 O 150 300 45000 O 12.5
To calculate the company's annual holding cost, we need to multiply the annual average inventory by the holding cost per unit.
First, we need to calculate the annual average inventory. The formula for the average inventory is (Q/2), where Q represents the order quantity.
Given:
Annual requirements (Demand) = 7500 units
Ordering cost = BD 12
Order quantity (Q) = 150, 300, 45000 (Assuming these are different order quantities)
Holding cost per unit = BD 0.5
For each order quantity, we can calculate the annual average inventory using the formula (Q/2). Then, we multiply the average inventory by the holding cost per unit.
For order quantity Q = 150:
Average Inventory = Q/2 = 150/2 = 75 units
Holding Cost = Average Inventory * Holding cost per unit = 75 * 0.5 = BD 37.5
For order quantity Q = 300:
Average Inventory = Q/2 = 300/2 = 150 units
Holding Cost = Average Inventory * Holding cost per unit = 150 * 0.5 = BD 75
For order quantity Q = 45000:
Average Inventory = Q/2 = 45000/2 = 22500 units
Holding Cost = Average Inventory * Holding cost per unit = 22500 * 0.5 = BD 11250. Now, we sum up the holding costs for each order quantity:
Annual Holding Cost = BD 37.5 + BD 75 + BD 11250 = BD 11362.5 Therefore, the company's annual holding cost is BD 11362.5.
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a manufacturer must test that his bolts are 1.00cm long when they come off the assembly line. he must recalibrate his machines if the bolts are too long or too short. after sampling 49 randomly selected bolts off the assembly line, he calculates the sample mean to be 1.06cm. he knows that the population standard deviation is 0.22cm. assuming a level of significance of 0.10, is there sufficient evidence to show that the manufacturer needs to recalibrate the machines? step 2 of 3 : compute the value of the test statistic. round your answer to two decimal places.
p < 0.10, there is sufficient evidence to conclude that the machines' maker should perform a recalibration.
In this question we have,
The population mean μ = 1.00
The sample size n = 49
The sample mean X = 1.06
The standard deviation σ = 0.22cm
The significance level α = 0.10
So, the hypothesis is:
The null hypothesis: H0: μ = 1
The alternative hypothesis: Ha: μ ≠ 1
Thus, the test statistic value is,
z = (X - μ)/(σ/√n)
= (1.06 - 1)/(0.22/√49)
= 0.06 / 0.03142
= 1.91
So, for z = 1.91, the p-value is 0.028067.
The provided significance level of 0.10 is not met by the p-value of (0.028067).
Therefore, there is enough evidence to support the claim that the machines' manufacturer needs to recalibrate them.
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Explain the method applied for determining the density of a solid (Regular and inregular) and liquid.
The method applied for determining the density of a solid (regular and irregular) and a liquid is based on the concept of mass and volume.
For solids (regular and irregular):
Determining the mass: The mass of the solid can be measured using a balance or scale. The unit of mass is typically grams (g) or kilograms (kg).
Determining the volume:
Regular solids: The volume of regular solids, such as cubes or rectangular prisms, can be calculated using their geometric formulas. For example, the volume of a cube is calculated by cubing the length of one of its sides: Volume = side length^3.
Irregular solids: The volume of irregular solids can be determined using various methods such as water displacement. The solid is immersed in a known volume of liquid (e.g., water), and the increase in the volume of the liquid is measured. This increase represents the volume of the solid.
Calculating the density: The density of a solid is calculated by dividing its mass by its volume. The unit of density is typically grams per cubic centimeter (g/cm^3) or kilograms per cubic meter (kg/m^3).
For liquids:
Determining the mass: Similar to solids, the mass of the liquid can be measured using a balance or scale.
Determining the volume: The volume of a liquid can be measured directly using a graduated cylinder or other volumetric measuring devices. The unit of volume is typically milliliters (mL) or liters (L).
Calculating the density: The density of a liquid is calculated by dividing its mass by its volume. The unit of density is typically grams per milliliter (g/mL) or kilograms per liter (kg/L).
The method for determining the density of a solid (regular and irregular) involves measuring the mass and volume of the solid and calculating the density by dividing the mass by the volume. For liquids, the density is determined similarly by measuring the mass and volume.
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A boy standing between two pillars of equal height observes the angle of a
elevation of the top of pillars to be 30°. Approaching 15m towards any one
of the pillar, the angle of elevation is 45°. Find the height of the pillars and the distance between them
Answer:
15m
Step-by-step explanation:
did the math
low dose xray or dexa is recommended by the us government for women ages 65yrs and older. what is the suggested screening yearly or monthly intervals?
The US government recommends low dose x-ray or dual-energy x-ray absorptiometry (DEXA) screening for women aged 65 years and older to check for osteoporosis. The suggested screening interval for low dose x-ray or DEXA for women aged 65 years and older is every two years.
The US government recommends low dose x-ray or dual-energy x-ray absorptiometry (DEXA) screening for women aged 65 years and older to check for osteoporosis. Osteoporosis is a condition that weakens bones, making them more likely to break. The suggested screening interval for low dose x-ray or DEXA is every two years. However, this may vary based on individual risk factors such as family history of osteoporosis, use of certain medications, and history of fractures.
Women who are at higher risk of developing osteoporosis may need more frequent screenings. For example, women with a history of fractures or those who have taken certain medications for a prolonged period may need more frequent screenings. It is important to discuss individual risk factors with a healthcare provider to determine the appropriate screening interval.
It is also important to note that while low dose x-ray or DEXA is recommended for women aged 65 years and older, women who are younger and have risk factors for osteoporosis may also need screening. Some of these risk factors include a family history of osteoporosis, low body weight, smoking, and certain medical conditions such as rheumatoid arthritis.
In summary, the suggested screening interval for low dose x-ray or DEXA for women aged 65 years and older is every two years. However, the screening interval may vary based on individual risk factors. It is important to discuss individual risk factors with a healthcare provider to determine the appropriate screening interval.
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At a grocery store, you want to buy 4 1/10 lb of cheese. What decimal should the digital scale show?
Answer:
4.1
Step-by-step explanation:
Graph the solution to the linear inequality 3x +1 < 28
\(3x + 1 < 28 \\ 3x < 28 - 1 \\ 3x < 27 \\ x < \frac{27}{3} \\ x < 9\)
Answer:
x<9
Step-by-step explanation:
Rewrite the expression without parentheses.
13m−(−9m−4)
Answer:
22m+4
Step-by-step explanation:
which of the following hypotheses can be tested with the data that was collected? group of answer choices the average number of consumers that prefer catalogs in spanish is large the average number of consumers that prefer catalogs in english is large the percent of hispanics that are likely to buy from an l.l. bean catalog is higher than 30% the percent of hispanics that prefer to read catalogs in spanish is equal or higher than 30%
The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%
What is percentage ?
A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
%, which is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
By dividing the value by the entire value and multiplying the result by 100, one may determine the percentage. The percentage calculation formula is (value/total value)100%.
The percent of Hispanics that prefer to read catalogs in Spanish is equal or higher than 30%
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The critical points of a rational inequality are -1, 3, and 4. Which set of points can be tested to find a complete
solution to the inequality?
x= 1 and x = 3.5
x= -1, x= 3, and x = 4
O x = -2, x = 2, and x = 5
O x= -3, x= 1, x= 3.5, and x = 5
Nexty
Save and Exit
Submit
Mark this and return
Answer:
It's D I got it right
Step-by-step explanation:
I know
Answer:
D
Step-by-step explanation:
x = –3, x = 1, x = 3.5, and x = 5
two step equation -9 + 2x = .-31
Answer:
Step-by-step explanation:
Add 9 to both sides
2x = -22
Divide both sides by 2
x = -11
x(3 + y) - z if x=6, y=4, and z=5
Answer:37
Step-by-step explanation:
6(3+4)-5
6x7-5
42-5
=37
Answer:
37
Step-by-step explanation:
x(3+y)-z
=6(3+4)-5
=42-5
=37
What is the common ratio of the geometric sequence shown? -2,4,-8,16,. . .
Answer:
-2,-4,-8,-16
common ratio of geometric sequence shown is -2
this sequence is in the decreasing form.
the next number in this sequence is -32
I hope that helps.
11_-7compare use <=or>
Here, we want to compare the two numbers, using the appropriate inequality/equality sign
Mathematically, 11 is greater than -7
Thus, the equality sign in the blank will be the greater than sign
We have this represented as;
\(11\text{ > -7}\)7. Complete the expression to find the probability of getting three tails
The probability of getting three tails in a row is 1/8 or 0.125,
What is Probability?A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%
Equation:The probability of getting three tails in a row when flipping a fair coin (assuming the coin is unbiased and has an equal chance of landing on heads or tails) is:
P(three tails) = (1/2)³ = 1/8 = 0.125
Here, (1/2) represents the probability of getting tails on a single coin flip. Since we need to get tails on three consecutive coin flips, we multiply this probability by itself three times, giving us (1/2)³.
Therefore, the probability of getting three tails in a row is 1/8 or 0.125, which means there is a 12.5% chance of getting three tails when flipping a coin three times in a row.
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The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
\(x + y = 26\)
And The sum of their squares is a minimum.
\(x^2 + y^2 = h\)
Solving both the equation,
\(x + y = 26\\\\x = 26-y\)
Substitute the value of x in equation 2,
\(x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0\)
Then, The vertex of the parabola is,
\(\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13\)
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
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What is the frequency of the function f(x)?
f(x)=3cos(πx)−2
Express the answer in fraction form.
Enter your answer in the box.
Answer:
The frequency is \(\frac{1}{2}\) Hz
Step-by-step explanation:
Sinusoid Function
The cosine and sine functions are generally called sinusoids because of their characteristic oscillatory behavior.
The general cosine function is expressed as
\(y(x)=A\cos(\omega x+\phi)+B\)
Where A is the amplitude, ω is the angular frequency, Ф is the phase shift and B is the midline or vertical shift.
We are given the function:
\(f(x)=3\cos(\pi x)-2\)
The coefficient of x is the angular frequency, thus
\(\omega=\pi\)
Since
\(\omega=2\pi f\)
Where f is the frequency, then
\(2\pi f=\pi\)
Simplifying:
\(f=\frac{1}{2}\)
The frequency is \(\frac{1}{2}\) Hz
negitive 3 equals negative 9
Answer: No
Step-by-step explanation:
-3 is 6 digits away from -9
5) WILL GIVE BRAINIEST TO BEST ANSWER
find the equations use to solve
Graphing!
Answer:
A: y= 3x-4
B: y= -2/4x+3
Step-by-step explanation:
slope intercept form: y=mx+b
m = slope
slope = rise/run
b = y-intercept
Answer:
A: y = 3x - 4
B: y = -1/2x +3
Step-by-step explanation:
First, lets find the slope of line B. We need to find two coordinates on the line that coincide with points on the grid. We see that (2, 2) and (4, 1) are two points that match the criteria, so we can use both points. You can use any two points, I just randomly chose these two. Slope is nothing but the Y coordinate of the first point subtracted from the Y coordinate of the second point. We do 2 - 4 and get -2. Next, we do the same thing but with the X coordinates to get 2 - 1, which is 1. We do 1 over -2 to get negative 1/2 for our slope. The last variable in the equation is just where the line hits the Y axis, which is 3. So, the final equation is y = -1/2x + 3. Rinse and repeat for the next question.
find the directional derivative of the functionf(x,y)=2x2y3-6y at the point (3,-1) in thedirection of the vector v=2i+5j.
The directional derivative of f at the point (3,-1) in the direction of the vector v=2i+5j is
18/sqrt(29).
To find the directional derivative of the function f(x,y)=2x^2y^3-6y at the point (3,-1) in the direction of the vector v=2i+5j:
We first need to find the unit vector in the direction of v.
To do this, we divide v by its magnitude:
||v|| = sqrt(2^2 + 5^2) = sqrt(29)
So,
u = v/||v|| = (2/sqrt(29))i + (5/sqrt(29))j
Now we can use the formula for the directional derivative:
D_u(f) = ∇f · u
where ∇f is the gradient of f.
To find ∇f, we take the partial derivatives of f with respect to x and y:
∂f/∂x = 4xy^3
∂f/∂y = 6x^2y^2 - 6
So,
∇f = (4xy^3)i + (6x^2y^2 - 6)j
Plugging in the point (3,-1) and the unit vector u,
we get:
D_u(f) = ∇f · u = (4(3)(-1)^3)(2/sqrt(29)) + (6(3)^2(-1)^2 - 6)(5/sqrt(29))
= -12/sqrt(29) + 30/sqrt(29)
= 18/sqrt(29)
Therefore, the directional derivative of f at the point (3,-1) in the direction of the vector v=2i+5j is 18/sqrt(29).
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solve this algebraic expression
\(16a {}^{4} - 4a {}^{2} - 4a - 1\)
Answer:
The factored form is,
\((4a^2+2a+1)(4a^2-2a-1)\)
Step-by-step explanation:
We have,
\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)
Using the difference of square formula,
\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)
Which is the factored form,
Using the midpoint method, what is the price elasticity of supply between point B and point C? a. 1.44 b. 1.29 c. 0.96 d. 0.78
Answer:
The price elasticity of demand, when using the midpoint formula, would be B.1.29.
How to find the price elasticity of demand ?
Price elasticity of demand = ((Q2 - Q1) / ((Q2 + Q1) / 2)) / ((P2 - P1) / ((P2 + P1) / 2))
where:
Q1 = initial quantity demanded = 20 units
Q2 = final quantity demanded = 15 units
P1 = initial price = $8
P2 = final price = $10
Substituting the values:
Price elasticity of demand = ((15 - 20) / ((15 + 20) / 2)) / (($10 - $8) / (($10 + $8) / 2))
= (-5 / 17.5) / (2 / 9)
= (-0.2857) / (0.2222)
= -1.2857
= 1. 29
please helppppp
Which statement is not true?
A. A probability of 0.3 indicates an unlikely event.
B. A probability of 0.8 indicates a likely event.
C. A probability of 1 indicates an event is certain.
D. A probability of 0 indicates a likely event.
Answer:
The answer is D
Step-by-step explanation:
B/c when probability comes 0 it is impossible out comes
Solve x/3 = 9.
anyone wanna help lol?
Answer:
x=27
Step-by-step explanation:
Answer:
The answer would be 27
Step-by-step explanation:
Times three by nine to get the value of x.
A bakery is selling breakfast platters. A platter of 12 bagels costs $8.40. Additionally, it costs $3.25 for a gallon of coffee.
What is the slope of this situation?
8.40
3.25
0.70
0.27
Correct option is C, The situation's slope is calculated to be: 0.70.
How Can I Tell What the Situation's Slope Is?A situation's slope is always its unit rate. And m in y = mx + b is how it appears in a linear equation.
The value of b in the preceding linear equation can be either the starting value or an additional value.
According to our interpretation of the circumstances, we have:
The additional cost, b, is the y-intercept and equals $3.25.
The price of 1 bagel is equal to the slope/unit rate.
Cost of 12 bagels is $8.40
Slope (m) equals $8.40 / 12 = $0.7
This indicates that the situation's slope is shown as: 0.7.
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Answer: 0.70
Step-by-step explanation:
I took the test so I know it is correct
if a = (3.1∠63.2°) and b = (6.6∠26.2°) then solve for the sum (a + b) and the difference (a − b).
To solve for the sum and difference of complex numbers in polar form, we can add or subtract their magnitudes and their angles separately.
Given:
a = 3.1∠63.2°
b = 6.6∠26.2°
To find a + b:
We can use the formula for adding complex numbers in polar form:
(a + b) = (3.1∠63.2°) + (6.6∠26.2°)
= (3.1 cos 63.2° + 6.6 cos 26.2°) + j(3.1 sin 63.2° + 6.6 sin 26.2°)
≈ 6.94∠37.4°
Therefore, a + b = 6.94∠37.4°.
To find a - b:
We can use the formula for subtracting complex numbers in polar form:
(a - b) = (3.1∠63.2°) - (6.6∠26.2°)
= (3.1 cos 63.2° - 6.6 cos 26.2°) + j(3.1 sin 63.2° - 6.6 sin 26.2°)
≈ -3.78∠141.5°
Therefore, a - b = -3.78∠141.5°.
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Is this a function?
(2,3) (3,3) (4,3) (5,3)
Answer:
Step-by-step explanation:
Yes, it is, because the inputs {2, 3, 4, 5} are all different.
Plz help me!!!! Thank you!!
Answer:
I believe it H.
Step-by-step explanation:
I don't know if I am right but it's your choice to choose it.
Answer:
Graph F best represents the function.
The correct graph F is also attached below.
Step-by-step explanation:
Given the function
f(x) = 2(5)ˣ
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
so substituting x = 0 in the function
y = 2(5)ˣ
y = 2(5)⁰
y = 2(1) ∵ (5)⁰ = 1
y = 2
Thus, the y-intercept is (0, 2)
Let us check another point
now substitute x = 1
y = 2(5)ˣ
y = 2(5)¹
y = 10
Thus, the value of y = 10 at x = 1
So, we have to two points:
The y-intercept (0, 2)The point (1, 10)Now, if we carefully observe, we can easily figure out that the graph F represents the function f(x) = 2(5)ˣ.
Because the graph F has a y-intercept (0, 2) and also the point (1, 10) is validating the graph.
Therefore, graph F best represents the function.
The correct graph F is also attached below.
simplify the following
I suggest photo math :)
0.027 x 0.008 what is the answer to that question
Answer:
the answer is around 0.000215 or 0.000216
Step-by-step explanation:
Hope this helps :D