Answer:
2
Step-by-step explanation:
In a double-slit experiment, bright interference fringes are spaced 1.8mm apart on the viewing screen when the incident light has a wavelength of 630 nm. What will the fringe spacing be if the light is changed to a wavelength of 420 nm
If the incident light changes from a wavelength of 630 nm to 420 nm, the fringe spacing will decrease, resulting in fringes that are closer together.
In a double-slit experiment, when light passes through two narrow slits and hits a viewing screen, interference patterns are observed. The fringe spacing, also known as the separation between adjacent bright fringes, is determined by the wavelength of the incident light. The formula for calculating fringe spacing is given by:
Fringe Spacing = (wavelength * distance from slits to screen) / distance between the slits
Given that the fringe spacing is initially 1.8 mm when the incident light has a wavelength of 630 nm, we can use the formula to calculate the new fringe spacing when the light wavelength changes to 420 nm. Since the distance from the slits to the screen and the distance between the slits remain constant, the only variable that changes is the wavelength. As the wavelength decreases, the fringe spacing will also decrease. Therefore, the fringe spacing will be smaller when the light wavelength is 420 nm compared to when it is 630 nm.
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If a relationship can be written as s=−5+2t, how does s change if t is increasing
Answer:
s increases
Step-by-step explanation:
2t is a positive value so it will make the value of a increase
Jacobs Manufacturing produces a popular custom accessory for pick-up trucks at plants in Huntington, West Virginia, and Bakersfield, California, and ships them to distributors in Dallas, Texas; Chicago, Illinois; Denver, Colorado; and Atlanta, Georgia. The plants in Huntington and Bakersfield have, respectively, the capacity to produce 3,000 and 4,000 units per month. For the month of October, costs of shipping a carton of 10 units from each plant to each distributor are summarized in the following table:
Shipping Cost per Container
Dallas Chicago Denver Atlanta
Huntington $19 $15 $14 $12
Bakersfield $16 $18 $11 $13
Jacobs has been notified that these shipping rates will each increase by $1.50 on November 1. Each distributor has ordered 1,500 units of Jacobs’ product for October and 2,000 units for November. In any month, Jacobs can send each distributor up to 500 units more than the distributor has ordered if Jacobs provides a $2 per unit discount on the excess (which the distributor must hold in inventory from one month to the next). In October, the per unit costs of production in Huntington and Bakersfield are $12 and $16, respectively. In November, Jacobs expects the cost of production at both plants to be $14 per unit. The company wants to develop a production and distribution plan for the months of October and November that would allow the company to meet the expected demand from each distributor at the minimum cost.
a. Draw a network flow model for this problem.
b. Implement your model in a spreadsheet and solve it.
c. What is the optimal solution?
Each 3 parts (a, b, c) are briefly solved under with steps.
a. To draw a network flow model for this problem, follow these steps:
1. Create nodes for the two plants (Huntington and Bakersfield) and the four distributors (Dallas, Chicago, Denver, and Atlanta).
2. Add arcs connecting each plant to each distributor.
3. Label each arc with the shipping cost per container (use the table provided in the question) for October and November (increase each rate by $1.50 for November).
4. Add capacity constraints for each plant (3,000 units for Huntington and 4,000 units for Bakersfield) and the demand for each distributor (1,500 units for October and 2,000 units for November).
5. Include the possibility of shipping up to 500 units more than the distributor has ordered for a $2 per unit discount on the excess.
b. Implement your model in a spreadsheet by following these steps:
1. Create a table with rows representing the plants and columns representing the distributors.
2. Enter the shipping costs per container for October in the cells, and create a similar table for November with the increased shipping costs.
3. Add columns for production capacity (Huntington - 3,000 units, Bakersfield - 4,000 units) and rows for the distributor's demand (1,500 units for October and 2,000 units for November).
4. Set up cells to calculate the total shipping cost, considering the production capacity, demand, and possible excess shipping.
5. Use a solver tool (such as Excel's Solver) to minimize the total shipping cost, while satisfying the capacity and demand constraints.
c. The optimal solution can be found by solving the spreadsheet model created in part b.
The solver will provide the optimal number of units to produce at each plant and the distribution plan that minimizes the total cost. Since the question does not provide specific numeric details or the spreadsheet, the exact optimal solution cannot be provided here.
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Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?
Answer: 72$
Step-by-step explanation:
because
Seven more than the quotient of a number and 2
(Algebraic expression)
Answer:
(x ÷ 2) + 7
Step-by-step explanation:
A quotient is the answer to a division problem...
So.... Let's say "a number" is x
(x ÷ 2) + 7 = Seven more than the quotient of a number and 2
That should be the answer!
Please mark Brainliest!!! =DLet X (t) be a random process defined by X(t)=Acos(ωt+θ), Where A is a random variable having magnitude +1 or -1 with equal probability, and θ is a random variable uniformly distributed between 0 and 2π. Assume that A and θ are independent random variables.
(a) Determine the mean of X (t).
(b) Determine the auto correlation function of X(t).
(c) Is X(t) a wide sense stationary (WSS) process? Why?
The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.
What is probability?Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can e expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.
Therefore, the probability of rolling at least one 3 when rolling two six-sided dice is 2 × 1/6, or 33.3%. This is because the probability of rolling a 3 on one die is independent of the probability of rolling a 3 on the other die. This means that the probability of rolling at least one 3 is equal to the sum of the probabilities of rolling a 3 on each of the two dice (1/6 + 1/6 = 2/6). As a result, the probability of rolling at least one 3 when rolling two six-sided dice is 33.3%.
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The probability of rolling a 3 on a single six-sided die is 1/6, or 16.7%.
What is probability?Probability is a mathematical study of outcomes in uncertain situation it is used to describe the like would have an event occurring and it can e expressed as the number between 0 to 1 probability is used to quantify the uncertainty associated with any given event it helps us understand how likely it is that something will happen and it can be used to make prediction about futures even probability theory is it of modern statistic and is widely used in fields such as finance economics and science.
(a) The mean of X(t) is 0 since A is equally likely to have a magnitude of +1 or -1 and θ is uniformly distributed between 0 and 2π.
(b) The auto correlation function of X(t) is given by:
Rxx(τ) = E[X(t)X(t+τ)]
= E[Acos(ωt+θ)Acos(ω(t+τ)+θ)]
= E[\(A^{2}\)cos(ωt+θ)cos(ω(t+τ)+θ)]
= E[\(A^{2}\)]cos(ωτ)cos(θ)
= 0
(c) X(t) is not a wide sense stationary (WSS) process since the mean of the process is not constant and its auto correlation function is not independent of time τ.
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She must determine height of the clock tower using a 1.5 m transit instrument (calculations are done 1.5 m above level ground) from a distance 100 m from the tower she found the angle of elevation to be 19 degrees. How high is the clock tower from 1 decimal place?
Step-by-step explanation:
We can use trigonometry to solve this problem. Let's draw a diagram:
```
A - observer (1.5 m above ground)
B - base of the clock tower
C - top of the clock tower
D - intersection of AB and the horizontal ground
E - point on the ground directly below C
C
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-------------
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B
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A
```
We want to find the height of the clock tower, which is CE. We have the angle of elevation ACD, which is 19 degrees, and the distance AB, which is 100 m. We can use tangent to find CE:
tan(ACD) = CE / AB
tan(19) = CE / 100
CE = 100 * tan(19)
CE ≈ 34.5 m (rounded to 1 decimal place)
Therefore, the height of the clock tower is approximately 34.5 m.
In a class of students, the following data table summarizes how many students passed
a test and complete the homework due the day of the test. What is the probability that
a student chosen randomly from the class passed the test?
Completed the homework
Did not complete the homework
Passed the test Failed the test
12
2
4
3
Answer:
20/27
Step-by-step explanation:
A two-digit number is such that the sum of its digits is 11. When the digits of the number are reversed and the number is subtracted from the original number, the result obtained is 9 Find the original number.
By writing and solving a system of equations we will find that the number is 56
So we can write a two-digit number as:
a*10 + b
Where the two digits are a and b.
Here we must have:
a + b = 11
The reversed number is:
b*10 + a
Then we can write the equation:
b*10 + a - a*10 - b = 9
b*9 - a*9 = 9
Then we have a system of two equations:
a + b = 11
b*9 - a*9 = 9
We can divide both sides of the second equation by 9 to get:
b - a = 1
Now we can isolate b to get:
b = 1 + a
Now we can replace this in the other equation.
a + b = a + (1 + a) = 11
2a + 1 = 11
2a = 11 - 1 = 10
a = 10/2 = 5
Now we have the value of a, and we know that:
b = 1 + a = 1 + 5 = 6
Then the two-digit number is:
a*10 + b = 5*10 + 6 = 56
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PLZ HELPPPP HElPPPPPPPPPPP HELPPPP ME
Answer:#1.
A=the amount of miles traveled and gallons of fuel
B=Y is the first one it is the amount of miles traveled
C=30x 150
#2.
A=3x 602
B=height of tree inches
C= the number of months
Step-by-step explanation:
i have already had this question
determine if the following ratios form a proportion.14/18 , 18/27 yes, these ratios are proportional. no, these ratios are not proportional.
No, these ratios are not proportional.
What are ratios and proportions ?
A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.
A proportion is an equation in which two ratios are set equal to each other.
For example, if there is 1 boy and 3 girls you could write the ratio as:
1 : 3 (for every one boy there are 3 girls)1 / 4 are boys and 3 / 4 are girlsGiven ratios : 14 / 18 & 18/27
In simplest form , 14/18 can be written as 7/9
Similarly , In simplest form , 18/27 can be written as 2/3
∵ \(\frac{7}{9} \neq \frac{2}{3}\)
Therefore , these ratios are not proportional.
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The number of sides of a regular polygon is 20,
a) Find each external angles of the polygon?
b) Find each internal angles of the above polygon ?
Answer:
Sum of all the exterior angles in any polygon is always 360º
Find the number of sides:
One exterior angles = 20º
Number of sides = 360 ÷ 20
Number of sides = 18
Step-by-step explanation:
Answer:
Step-by-step explanation:
a) external angles is also known as exterior angles
exterior angle = 360
we have n=20
360/n=360/20=18
the external angles of a regular polygon of 20 is 18 degree
b) internal angles is also known as interior angles
interior angle = 180
exterior angle = 18
interior angle - exterior angle
180-18=162 degree
the internal angles of 20 is 162 degree
If earth is 148,800,000km away from the sun,and light travels 3 million km per seconds.Compute how long it takes for sunlight to reach earth?
It takes approximately 8 minutes and 20 seconds for sunlight to reach the Earth.
Light travels at a speed of 3 million km per second, which is equivalent to 18.6 million km per minute or 1.12 billion km per hour. Using the formula distance = speed × time, we can calculate the time it takes for sunlight to reach Earth from the Sun, which is approximately 148,800,000 km away.
Distance = 148,800,000 km
Speed = 3 million km/s
Time = Distance / Speed
Time = 148,800,000 km / 3,000,000 km/s
Time = 49.6 seconds or approximately 8 minutes and 20 seconds.
Therefore, it takes approximately 8 minutes and 20 seconds for sunlight to travel from the Sun to Earth.
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A wagon is being pulled by a 300-pound force that makes a 30° angle with the ground. what are the horizontal and vertical components of the force vector? a. the horizontal is 150 pounds, and the vertical is 260 pounds.b. the horizontal is 260 pounds, and the vertical is 150 pounds. c. the horizontal is 346 pounds, and the vertical is 600 pounds.d. the horizontal is 600 pounds, and the vertical is 346 pounds.
Answer: B
Step-by-step explanation: TRUST
The horizontal component of the force vector is 260 pounds, and the vertical component is 150 pounds. (Option B).
How to Solve for the Component of the Force Vector?To find the horizontal and vertical components of the force vector, we can use trigonometry. The horizontal component is the force acting in the direction parallel to the ground (x-axis), and the vertical component is the force acting in the direction perpendicular to the ground (y-axis).
Given that the force is 300 pounds and makes a 30° angle with the ground, we can calculate the components as follows:
Horizontal component (F_horizontal) = Force * cos(angle)
Vertical component (F_vertical) = Force * sin(angle)
Inserting in the values:
Horizontal component (F_horizontal) = 300 pounds * cos(30°)
Vertical component (F_vertical) = 300 pounds * sin(30°)
Now, let's calculate:
Horizontal component (F_horizontal) = 300 pounds * 0.866 (rounded to 3 decimal places, cos(30°) ≈ 0.866)
F_horizontal ≈ 259.8 pounds
Vertical component (F_vertical) = 300 pounds * 0.5 (rounded to 3 decimal places, sin(30°) ≈ 0.5)
F_vertical ≈ 150 pounds
Therefore, the required components of the force vector are approximately 260 pounds and 150 pounds.
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a flight of stairs in a 10 storey building has 15 steps. what is the total number of steps from the 1st floor to the 6th floor?
The total number of steps from the 1st floor to the 6th floor in a 10-story building with 15 steps in a flight of stairs is 60.
In a 10-story building, a flight of stairs has 15 steps.
What is the total number of steps from the 1st floor to the 6th floor.
The total number of steps from the 1st floor to the 6th floor in a 10-story building with 15 steps in a flight of stairs is as follows:
Take into consideration the following:
Given that a flight of stairs in a 10-story building has 15 steps, therefore a total number of steps on 10th floor would be;N1 = 10 * 15N1 = 150.
Similarly, the total number of steps on the 6th floor would be;
N2 = 6 * 15N2 = 90
Finally, the total number of steps from the 1st floor to the 6th floor will be;
Total number of steps = N1 – N2
Total number of steps = 150 – 90
Total number of steps = 60
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Omg I need help on this
Answer:
y = -3x - 5
Step-by-step explanation:
After a long hike in a state park, danielle decides to relax at the beach. The parking permit she purchase allows her to park at any state beach without paying again. While consulting a map, danielle notices that the closest state beach is 4 centimeters way from thepark. How far apart are the state park and the closest state beach in real life if the map uses a scale of 1 centimeter = 2 kilometers
Answer:
8 km
Step-by-step explanation:
Danielle can multiply the scale values by 4 to find the real life distance between the park and the beach.
1 cm : 2 km . . . . . given scale values
4 cm : 8 km . . . . . multiply values by 4
The state park and state beach are 8 km apart.
explain why
a negative divided by a negative is a positive
Answer:
it's law
Step-by-step explanation:
i think it is law of mathematics. isn't it?
Which number has a 6 that is 1/10 the value of the 6 in 326.48
Answer:
1.00 one is the answer ghbcjxtk NC fygvcgu HD drthh
Which set of graphs can be used to find the solution set to 3 log2(x + 4) < 6?
Answer:
It's graph D
Step-by-step explanation:
Answer:
Graph D
Step-by-step explanation:
E D G E
Odell and Tamra paint two walls with the same dimensions . Odell paints of a wall . Tamra paints of the other wall . Conjecture : Odell and paint the same amount . 2/6; 1/3
According to simplification of fractions, the conjecture "Odell and paint the same amount" is proven to be true.
What is a conjecture?
A mathematical assertion that hasn't been thoroughly proven is referred to as a conjecture. When one observes a pattern that holds true in numerous instances, hypotheses start to form. A pattern may be true in many instances, but that does not guarantee that it will be true in all instances.
To determine if Odell and Tamra painted the same amount, we need to compare the amounts they painted.
Odell painted 2/6 of a wall, which can be simplified to 1/3 of a wall.
Tamra painted 1/3 of a wall, which is also equivalent to 1/3 of a wall.
Since both Odell and Tamra painted 1/3 of a wall, it appears that the conjecture is true, and they painted the same amount.
We can also see this by comparing the fractions they painted directly.
1/3 = 1/3
Therefore, it is likely that Odell and Tamra painted the same amount, and the conjecture is true.
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4.44 x 4 = please my sister needs it
Answer:
17.76
Step-by-step explanation:
0.44 x 4 = 1.76
4 x 4 = 16
16+1.76=17.76
For the Noah and Andres question: To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water. Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line? Sorry this is long
Answer:
On the number line:
a) 0.6666666667 scoops per powder
b) 0.625 scoops per powder
Step-by-step explanation:
For the Noah and Andres question:
To make orange fizz Noah mixes 4 scoops of powder with 6 cups of water.
Unit rate = scoops per cup
= 4 Scoops/6 cups
= 2/3 scoops per powder
= 0.6666666667 scoops per powder
Andre mixes 5 scoops of powder with 8 cups of water what would that look like on a double number line?
Unit rate = scoops per cup
= 5 Scoops/8 cups
= 0.625 scoops per powder
Which of the following is a factor of 24x2+27x?
could you maybe put the multiple choice list so someone can help :))
a probability distribution indicates the probability of r successes in n trials a) binomial b) subjective c) joint d) marginal
A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.
The correct answer is a) binomial. A binomial probability distribution is used to calculate the probability of a certain number of successes (r) in a given number of independent trials (n), where the probability of success in each trial is constant. The distribution is often used in statistics and probability theory to model real-world situations such as coin flips, product defects, or election results. The other terms mentioned in the question (subjective, joint, and marginal) are unrelated to binomial probability distributions. A probability distribution that indicates the probability of r successes in n trials is known as a) binomial distribution.
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Evaluate
a) 9^-2/1
b)27^-2/4
If T(x) = x + 0.14x, then find the value of T(290).
The value if T(290) is 330.6
What is equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign.
Given:
T(x) = x + 0.14x
T ( 290)= 290+ 0.14* 290
= 290+ 40.6
= 330.6
Hence, the value of T(290) is 330.6.
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What is the radius and diameter of the following circle?
111 cm
Radius
cm
Diameter =
cm
Answer:
Diameter = 212 cm
Step-by-step explanation:
D= 2r
How many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
Help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
The first statement is incorrect
Step-by-step explanation:
1 1/5 is positive so it is greater than the negative numbers
-2 2/5 is more negative than -1 3/5 so it is to the left on the number line
-2 2/5 < -1 3/5 < 1 1/5
11/5 < -2 1/5 is not correct because 1 is bigger than -2