Light passes through a diffraction grating with 3550 lines/cm and forms a first-order maximum at an angle of 12.07°. At what angle will the second maximum appear?

Answer:

x = 25

Step-by-step explanation:

Given the midpoint of two points (x1,y1) and (x2,y2) = ((x1 + x2) / 2, (y1 + y2) / 2))

Midpoint of (x,6) and (-9,14) = ((-9 + x) / 2, (14 + 6) / 2) = (8,10).

The y coordinates cancel out because the midpoints work, so we can set the x value of the first coordinate as a midpoint of the second coordinate.

(-9 + x)/2 = 8

×2 ×2

(-9 + x) = 16

-9 + x = 16

+9 +9

x - 9 + 9 = 16 + 9

x = 25

___________

We can test this answer by substituting our answer back into the midpoint formula.

x = 25 → ((-9 + x) / 2, (14 + 6) / 2) = (8,10)

((-9 + 25) / 2, (14 + 6) / 2)) = (16/2, 20/2) = (8,10)

Answer: (4,6)

Step-by-step explanation:

We are splitting the line segment into 6 parts, so we can start by finding the displacement in the x and y coordinates.

The change in x is 12, and the change in y is 12.

This means that for each of the 6 parts we are splitting the segment into, the value of x will change by 2, and so will y.

This means that to find K, we can subtract one of these displacements from point L.

This means that K has coordinates (6-2, 8-2)=(4,6)

Answer:

I think that the answer is 5

Answer:

10

Step-by-step explanation:

i looked it up to be sure but if wrong very sorry.

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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Answer:

B and D

Step-by-step explanation:

Answer: 1. The train does not always go the same distance each minute.

In 8 minutes, the distance will be 48.

Step-by-step explanation:

I think its correct

Jelly beans are $1.5/lb and trail mix is $2.063/lb, according to the data.

A heterogeneous mixture would be a trail mix. When the components of a combination are dispersed unevenly across the mixture, the mixture is said to be heterogeneous. As a mixture of nuts, raisins, and other seeds, trail mix cannot have an evenly distributed dispersion of its ingredients.

t = trail mix, j = jelly beans

3t + 8j = 21

5t + 2j = 18

Solving the first for t

2t = 6j - 3

t = (6j - 3)/2

Substituting

5(6j - 3)/2 + 2j = 18

j = 51/34

j = 1.5, Jelly beans cost $1.5/lb

now,

8t + 3(1.5) = 21

8t = 16.5

t = 2.0625, trailmix costs $2.063 dollars/lb

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a. Since both a strong-positive and weak-positive correlation are formally considered to be "growing," this is ambiguous (positive slope). In the same way, negative correlation. Speaking strictly in terms of truth or untrue, I would classify this as false

b. This is once more a little tricky. When "r" is zero, there isn't any evidence of a linear link. It doesn't necessarily follow that the variables don't correlate with one another. The answer is probably True if this is a course on statistics for beginners. If not, False.

c. This is simple to understand. Inverse relationships are indicated by negative coefficients. One grows while the other shrinks (or vice versa). False.

d. The range of the coefficient r is [0, 1] (inclusive), not (0,1). In this case, True if the text suggests [0,1].

e. Simple and accurate

f. Plain and simple, FALSE. Quite a high correlation coefficient

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Answer:

87

Step-by-step explanation:

1x0=97x1x0xratio=87

Answer:

97 oz.

Step-by-step explanation:

1 lb.=16oz

3+2 lbs = 5 lb's which equals to 80 oz.

then add the extra ounces 7+10 = 17

80 + 17 = 97 oz.

Answer:

D.

Step-by-step explanation:

There are 16 ounces in one pound.

3 X 16 = 48 + 7 = 55 ounces for the first book.

2 X 16 = 32 + 10 = 42 ounces for the second book.

55 + 42 =  97 ounces.

Answer:

Base of the triangle = 7 cm

Step-by-step explanation:

Given information,

→ Area of triangle = 35 cm

→ Height = 10 cm

Now we have to,

→ Find the base of the triangle.

Formula we use,

→ Area = ½ × b × h

Forming the equation,

→ (1/2) × b × 10 = 35

Then the value of b will be,

→ (1/2) × b × 10 = 35

→ (b × 10)/2 = 35

→ 10b/2 = 35

→ 10b = 35 × 2

→ 10b = 70

→ b = 70/10

→ [ b = 7 cm ]

Hence, the value of b is 7 cm.

Answer:

Step-by-step explanation:

Given:

Length of each side of the box = 25  cm

Diameter of the ball = 9.55 inches.

To find:

Whether the ball will fit inside the box.

Solution:

The ball will fit inside the box if the diameter of the ball is less than or equal to length of each side of the box.

Length of each side of the box = 25  cm

We know that, 1 inch = 2.54 cm

Diameter of the ball = 9.55 inches.

                                 = (9.55 × 2.54) cm

                                 = 24.257 cm

Clearly, 24.257 cm < 25 cm. Diameter is approximately 1 cm shorter than the side of the box.

Therefore, the ball will fit, because its diameter is approximately 1 cm shorter than the side of the box.

Hence, the correct option is C.

Let me first tell u to how find the midnumber of two integers , look :

The midnumber of 3 and - 5 is finding like this :

( 3 + ( -5) ) ÷ 2 =

( 3 - 5 ) ÷ 2 =

- 2 ÷ 2 = - 1

Thus the midnumber of -5 & 3 is - 1 ;

Got it ?

This is what we do exactly to find the coordinates of the midpoint of two points.

_______________________________

As we have :

A = ( - 5 , 3 )

B = ( 3 , - 1 )

Midpoint of A & B = ( [ -5 + 3] ÷ 2 , [ 3 - 1 ] ÷ 2 )

Mp of A & B = ( -2 ÷ 2 , 2 ÷ 2 )

Mp of A & B = ( - 1 , 1 )

Answer:

The probability of both coins landing on tails is 25%

Step-by-step explanation:

A coin toss is a 50% chance to get on either side, if you toss 2 coins that probability is cut in half and becomes a 25% chance to get both of the coins to land on the same side.

No as their no difference in Mr. Goodman's evaluation and the History department

What is Statistics ?

The study of statistics is the field that deals with the gathering, structuring, analyzing, interpreting, and presenting of data. In order to apply statistics to an issue in science, business, or society, it is customary to start with a statistical population or a statistical model that will be investigated.

descriptive statistics types in mathematics The data in this type of statistics is summarized using the provided observations. Statistics that are inferential. To interpret the meaning of descriptive statistics, this kind of statistics is employed. Example of Statistics.

Seeing the data we can conclude that their no difference in Mr. Goodman's evaluation and the History department

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Answer:

Did you know one-quarter of all your bones are located in your feet?

Step-by-step explanation:

Answer:

y=(y\x - 10j\x) x+j•10

Step-by-step explanation:

its up there

The variation between the sample means is small.

The variation between the sample means provides insight into the spread or dispersion of the data. In this case, if the variation between the sample means is small, it indicates that the mean name lengths across the seven samples are relatively similar and close together. This suggests that there is not much variability or difference in the average name lengths among the different samples of students. Therefore, the variation between the sample means is small, indicating a certain level of consistency in the mean name length across the samples.

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Answer:

72 ft

Step-by-step explanation:

1 yd = 3 ft

24(3) = 72 yd

Answer:

\(d = 2\sqrt{5}\)

Step-by-step explanation:

Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in the 2 coordinates into the distance formula to find distance d:

\(d = \sqrt{(1-(-3))^2+(2-4)^2}\)

\(d = \sqrt{(1+3)^2+(-2)^2}\)

\(d = \sqrt{(4)^2+4}\)

\(d = \sqrt{16+4}\)

\(d = \sqrt{20}\)

\(d = 2\sqrt{5}\)

Answer:

12

Step-by-step explanation:

12 is the (GCF) of 36x and 12x because 12 is the biggest # that can go into both 36 and 12.

Answer:

(1+b/60) minutes

Step-by-step explanation:

A minute = 1minute

b seconds = b/60minutes =b/60 minutes

sum of a minute and b seconds= (1+ b/60) minutes

Answer:

1 cup = 1/2 pint

Step-by-step explanation:

The total number of sides of a regular polygon with each exterior angle of measure 30 degrees is equal to 12.

Let us consider 'n' be the number of sides of the regular polygon.

Let 'y' be the measure of each of the exterior angle of regular polygon.

y = 30 degrees

Measure of each of the exterior angle of regular polygon 'y'

= ( 360° ) / n

⇒ n = ( 360° / y )

Substitute the value we get,

⇒ n = ( 360° / 30° )

⇒ n = 12

Therefore, the number of sides of a regular polygon with each of the exterior angle 30 degrees is equal to 12.

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The above question is incomplete, the complete question is:

How many sides does a regular polygon have when each exterior angle measures 30 degrees?

Approximately 55.61% of fire station response times are between 4 and 6 minutes.

For X = 4 minutes:

Z1 = (4 - 4.5) / 1.2 = -0.417 approximately.

For X = 6 minutes:

Z2 = (6 - 4.5) / 1.2 = 1.25 approximately.

Next, we look up these z-scores in a standard normal distribution table, or use a calculator or software that provides the cumulative area from -∞ to Z (which represents the proportion of data below Z).

The values we get from the z-table are:

P(Z ≤ -0.417) ≈ 0.3383

P(Z ≤ 1.25) ≈ 0.8944

P(4 ≤ X ≤ 6) = P(Z ≤ 1.25) - P(Z ≤ -0.417)

= 0.8944 - 0.3383

= 0.5561

So, approximately 55.61% of fire station response times are between 4 and 6 minutes.

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Answer:

The systems of equation for the amount spent are as follows

\(Y= 0.99x+5\)

\(Y= 0.79x+10\)

Step-by-step explanation:

In this problem we are expect to give a model or an equation that represents the amount of money spent per month given a fix subscription amount and a variable fee which is based on extra minutes spent.

let Y represent the amount of money spent in total for the month

The first case:

Subscription =$5

charges per minutes = $0.99

therefore the amount spent can be modeled as

\(Y= 0.99x+5\)

The second case:

Subscription =$10

charges per minutes = $0.79

therefore the amount spent can be modeled as

\(Y= 0.79x+10\)

Answer:

n = 2

Step-by-step explanation:

Expand the brackets.

1/2n - 2 - 3 = 3 - 2n - 3

Add or subtract terms.

1/2n - 5 = -2n

Add 5 and 2n on both sides.

1/2n + 2n = 5

5/2n = 5

Multiply both sides by 2/5.

n = 5 × 2/5

n = 10/5

n = 2

Answer:

x=-11

Step-by-step explanation:

-2(x+3)+5x=-39

Remove parenthesis

-2x-6+5x=-39

Collect like terms

3x-6=-39

Move the constant to the right

3x=-39+6

Calculate

3x=-33

Divide both sides by 3

x=-11