what is the answers to this complete the sentences to describe the rectangles.There are rows.Each row has squares.There are squares altogether. x = .

Answers

Answer 1

Answer:

it is 19

Step-by-step explanation:

You break it down and divide it then u get answer


Related Questions

How do I divide integers with different signs

How do I multiply integers with different signs

Answers

Multiply or divide normally. Whenever the signs are different it’s always gonna be a negative.

when choosing between one-tailed and two-tailed tests, group of answer choices use a two-tailed test only if you have a convincing reason for not predicting a direction. use the one that is most likely to produce significant results. use a one-tailed test only if you have a convincing reason for predicting the direction. always use two-tailed tests.

Answers

The recommended approach when choosing between one-tailed and two-tailed tests is to use a two-tailed test only.

The choice between a one-tailed or two-tailed test should be based on the research hypothesis and the specific question being investigated.

If you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

If the research hypothesis or question does not make a clear directional prediction, then a two-tailed test would be appropriate.

This is because a two-tailed test will consider the possibility of significant results in both directions of the distribution.

And is more conservative in its estimation of significance.

If the research hypothesis or question does make a clear directional prediction, then a one-tailed test would be appropriate.

This is because a one-tailed test will only consider the possibility of significant results in one direction of the distribution.

And is more powerful in detecting significant results in that specific direction.

Therefore, the answer is to use a two-tailed test only if you have a convincing reason for not predicting a direction, and use the one that is most likely to produce significant results.

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1. George works for a tech company. He has worked there for 5 years. He makes
$81,536 a year. He started with 8 days of paid vacation time. For each year he works at
the company he gains another three days of paid vacation to a max of 30 days.
a. How many paid vacation days does he now have?

Answers

Answer:

George now has 20 paid vacation days

Step-by-step explanation:

The given parameters are;

The number of years George has worked for the tech company = 5 years

The amount George makes annually while working for the company = $81,536

The starting amount of paid vacation time George has each year = 8 days

The annual increase in the amount of paid vacation time George has each year = 3 days

The maximum number of days of paid vacation allowable = 30 days

a. The number of paid vacation days George now has is given as follows;

The first year George had 8 days paid vacation

The next year George had 8 + 3 = 11 days paid vacation

The third year George had 11 + 3 = 14 days paid vacation

The fourth year George had 14 + 3 = 17 days paid vacation

The fifth year George had 17 + 3 = 20 days paid vacation

Therefore, George now has 20 paid vacation days.

a combination lock like the one shown has three dials. each of the dials has numbers ranging from 1 to 6. how many different combinations are possible with the lock?

Answers

There are 216 different possible combinations for the lock.

What is linear combinations?

In mathematics, a linear combination is a sum of scalar multiples of one or more variables. More formally, given a set of variables x1, x2, ..., xn and a set of constants a1, a2, ..., an, their linear combination is given by the expression:

a1x1 + a2x2 + ... + anxn

Since there are three dials on the combination lock and each dial can be set to one of six numbers, the total number of possible combinations is the product of the number of options for each dial.

Therefore, the total number of combinations is: 6 x 6 x 6 = 216

So there are 216 different possible combinations for the lock.

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Billy visits a local restaurant. he has 3 meat choices, 10 vegetable choices, 2 bread choices, 6 dessert choices, and 5 drink choices. how many different meals can he possibly have if he chooses one each of meat, vegetable, bread, dessert, and drink? a 15 b 26 390 d 1800

Answers

Billy can have a total of 3 x 10 x 2 x 6 x 5 = 1800 different meals.

To calculate the number of different meals or permutation Billy can have, we need to multiply the number of choices for each category: meat, vegetable, bread, dessert, and drink.

Billy has 3 choices for meat, 10 choices for vegetables, 2 choices for bread, 6 choices for dessert, and 5 choices for drinks. By multiplying these numbers together, we get the total number of different meal combinations.

In this case, the calculation would be: 3 x 10 x 2 x 6 x 5 = 1800 different meals.

Therefore, Billy can possibly have 1800 different meals if he chooses one each of meat, vegetable, bread, dessert, and drink.

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Solve for p.
7/p = 8/9

Answers

Answer: p = 63/8

Step-by-step explanation:

first, we determine the defined range.

7/p = 8/9, p is not equal to 0.

then, we cross multiply.

63 = 8p

then, we divide both sides.

p = 63/8

Over a season in a women's basketball league Jackson scored 42 more points than the second-highest scorer, Leslie. Together, Jackson and Leslie scored 1144 points during the season. How many points did each player score
over the course of the season?

Answers

First, you know that Jackson (let call her J) scored 42 more points than L (Leslie).  What we don't know is how many points L scored so we can use a variable that will be 'x'.

So the equation will be J=42+x.

We also know that the total points is 1,144.

To find out what x is we first subtract 1,144-42.  We then get 1,102.

We are now left with 2x and 1,102 so we divide 1,102 by 2 and get 551.

551=x so now we can plug that in.

J = 551 + 42

Jackson scored 593 points and Leslie scored 551 points

(You can use bar modeling to do solve this problem.  An example of bar modeling is shown below.  

Over a season in a women's basketball league Jackson scored 42 more points than the second-highest scorer,

What is SSS SAS ASA AAS?.

Answers

Answer:

SSS: Side-Side-Side
SAS: Side-Angle-Side
ASA: Angle-Side-Angle

AAS: Angle-Angle-Side

Step-by-step explanation:

They are the conditions used to determine whether two triangles are congruent or not.

Find the value of x.

Find the value of x.

Answers

Answer:

54

Step-by-step explanation:

Answer:

I think 126

Step-by-step explanation:

I divided 90÷50 and got 1.8 and then multiplied 70 by 1.8

Q.21 Tom borrowed a sum of Rs. 1200 at 12% per annum for 3years. Find the interest and amount to be paid by Tom after stipulated time. ​

Answers

The interest and amount to be paid by Tom after stipulated time is 432; 1632.

Principal=Rs1200

Rate=12%

Time=3year

Interest:

Interest=  Principal ×Rate ×Time/100

Interest=  1200×12×3/100

Interest​=Rs432

Amount:

Amount=1200+432

Amount=1632

Inconclusion the interest and amount to be paid by Tom after stipulated time is 432; 1632.

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Angie and Kenny play online video games. Angie buys 1 software package and 1 month of gameplay. Kenny buys 2 software packages and 3 months of gameplay. Each software package costs ​$50. If their total cost is ​$218​, what is the cost of one month of gameplay?

Answers

Answer:

The cost of one-month gameplay is $39.33 or 39.

Step-by-step explanation:

Let the cost of one month = x

The cost of software = $50

The total amount that can be spent = $218

Therefore, we have to find the cost of one month of game play. Here is the following equation.

218 = (50 + x) + (50 + 2x)

218 = 100 + 3x

218 – 100 = 3x

118 = 3x

x = 118 / 3

x = 39.33 or 39

thus, the cost of one-month gameplay is $39.33 or 39.

suppose the dial on the spinner is spun 2 times in a row. x is the number of times the dial lands on region a or b. which table represents the probability distribution for the variable x? responses xp 023 113 213x p 0 two thirds 1 one third 2 one third , xp 013 113 213x p 0 one third 1 one third 2 one third , xp 019 149 249x p 0 1 over 9 1 4 over 9 2 4 over 9 , xp 0827 123 2127

Answers

The table that represents the probability distribution for the variable x is the second one given in the question.

In order to know which table represents the probability distribution for the variable x, it's necessary to analyze the probabilities of each event taking place.Let's check the probabilities of the events represented in each of the given tables:x    P(0)  P(1)  P(2)xp   0    2/3   1/3   0xp   0    1/3   1/3   1/3xp   0    1/9   4/9   4/9xp   0    8/27  1/27  2/7. The table that represents the probability distribution for the variable x is the one that has the following data:x    P(0)  P(1)  P(2)xp   0    1/3   1/3   1/3. This is because the probability of the dial landing on region a or b is the same for each spin and the values of x are equally probable. Therefore, the table that represents the probability distribution for the variable x is the second one given in the question.

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The product of two-thirds and a number plus 6 is 12​

Answers

Answer:

18

Step-by-step explanation:

Product in math terms means to multiply

When the term "a number" is used, you can just put a variable

"Is," tells you what the problem equals

With this information, we can create the equation:

(2/3x) + 6 = 12

Now that we have this equation, we can solve it

(2/3x) +6 = 12            We can subtract 6 from both sides.  

            -6     -6

2/3x = 12                   We can divide the 2/3 from each side.

/2/3         /2/3

x = 18

Hope this helps!

Answer:

1

Step-by-step explanation:

2/3x + 12 = 6

2/3x = -6

x = -6 divided by 2/3

(6 divided 2) divided 3 =1

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Find the value of (a) that makes the ordered pair a solution to the equation.

Find the value of (a) that makes the ordered pair a solution to the equation.

Answers

The first coordinate of the ordered pair is the x-value, while the second coordinate corresponds to the y-value.

Part a)

\(4x-3y=10\)

Substitute x=a and y=-4 to find an equation for a:

\(4(a)-3(-4)=10\)

Solve for a:

\(\begin{gathered} \Rightarrow4a+12=10 \\ \Rightarrow4a=10-12 \\ \Rightarrow4a=-2 \\ \Rightarrow a=-\frac{2}{4} \\ \Rightarrow a=-\frac{1}{2} \end{gathered}\)

Therefore, the value of a that makes the ordered pair (a,-4) a solution to the equation 4x-3y=10, is -1/2.

Part b)

\(y=-5x+2\)

Substitute x=3 and y=a+1:

\(a+1=-5(3)+2\)

Solve for a:

\(\begin{gathered} \Rightarrow a+1=-15+2 \\ \Rightarrow a+1=-13 \\ \Rightarrow a=-13-1 \\ \Rightarrow a=-14 \end{gathered}\)

Therefore, the value of a that makes the ordered pair (3,a+1) a solution to the equation y=-5x+2, is -14.

PLS HELP I WILL GIVE BRAINLESTTT

1. -g + 2(3+g) = -4(g+1)

2. 0.6(4-2x)=20.5-(3x+10)

3. 1/2(-4+6n) = 1/3n+2/3(n+9)

4. 1/5(5x-5) + 3x=-9 (1/3x + 4)

Answers

The given values are given below:

g = -2.x = 6.72.n = 12.x = -11/7.

How to solve

Distribute and combine like terms: -g + 6 + 2g = -4g - 4.

Then, simplify g = -4g - 10.

Finally, solve for g: g = -2.

To solve this, we have to distribute and combine like terms: 2.4 - 1.2x = 20.5 - 3x - 10.

Simplify 1.8x = 12.1.

Solve for x: x = 6.72.

Distribute and simplify: -2 + 3n = n/3 + 2n/3 + 6.

Combine like terms: 2n/3 = 8.

Solve for n: n = 12.

Finally, to get the answer, the next step would be to distribute and simplify: x - 1 + 3x = -3x - 12.

Combine like terms: 7x = -11. Solve for x: x = -11/7.

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approximately what percentage of municipal refuse in the us is currently being recycled or composted? group of answer choices 7% 19% 27% 35% 46%

Answers

a. To find the direction of the vector p1p2⇀, we subtract the coordinates of p1 from the coordinates of p2: (x2 - x1, y2 - y1, z2 - z1).

For the given points:

1. p1(-1, 1, 5), p2(2, 5, 0): The direction of p1p2⇀ is (2 - (-1), 5 - 1, 0 - 5) = (3, 4, -5).

2. p1(1, 4, 5), p2(4, -2, 7): The direction of p1p2⇀ is (4 - 1, -2 - 4, 7 - 5) = (3, -6, 2).

3. p1(3, 4, 5), p2(2, 3, 4): The direction of p1p2⇀ is (2 - 3, 3 - 4, 4 - 5) = (-1, -1, -1).

4. p1(0, 0, 0), p2(2, -2, -2): The direction of p1p2⇀ is (2 - 0, -2 - 0, -2 - 0) = (2, -2, -2).

b. To find the midpoint of the line segment p1p2⇀, we take the average of the coordinates of p1 and p2: ((x1 + x2)/2, (y1 + y2)/2, (z1 + z2)/2).

For the given points:

1. p1(-1, 1, 5), p2(2, 5, 0): The midpoint of p1p2⇀ is ((-1 + 2)/2, (1 + 5)/2, (5 + 0)/2) = (0.5, 3, 2.5).

2. p1(1, 4, 5), p2(4, -2, 7): The midpoint of p1p2⇀ is ((1 + 4)/2, (4 + (-2))/2, (5 + 7)/2) = (2.5, 1, 6).

3. p1(3, 4, 5), p2(2, 3, 4): The midpoint of p1p2⇀ is ((3 + 2)/2, (4 + 3)/2, (5 + 4)/2) = (2.5, 3.5, 4.5).

4. p1(0, 0, 0), p2(2, -2, -2): The midpoint of p1p2⇀ is ((0 + 2)/2, (0 + (-2))/2, (0 + (-2))/2) = (1, -1, -1).

a. To find the direction of a vector, we subtract the coordinates of its initial point from the coordinates of its terminal point. This gives us a vector that represents the change in position from the initial point to the terminal point. In this case, we subtract the coordinates of p1 from the coordinates of p2. The resulting vector represents the direction of movement from p1 to p2.

b. To find the midpoint of a line segment, we take the average of the coordinates of its

two endpoints. This gives us a point that lies exactly halfway between the two endpoints. In this case, we add the coordinates of p1 and p2 and divide each sum by 2 to find the average. The resulting point represents the midpoint of the line segment p1p2⇀.

By finding the direction and midpoint of a line segment, we can gain insight into its geometric properties. The direction vector provides information about the orientation and magnitude of the line segment, while the midpoint gives us a central reference point. These calculations are fundamental in geometry and can be applied in various contexts, such as determining the slope of a line or finding the center of a line segment.

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an imaginary circle that goes through both retinae and the fixation point is known as

Answers

The Vieth-Müller Circle is an imaginary circle that passes between both retinae and the fixation point.

The Vieth-Müller Circle is an ophthalmology concept that depicts an imaginary circle that passes across the foveas (the primary points of the retinae that are responsible for acute, detailed vision) and the fixation point (the point at which the eyes are directed).

The Vieth-Müller Circle is significant because it helps to explain the phenomenon of binocular vision, which is the ability to perceive depth and three-dimensional space using both eyes together. The circle aids in the definition of the equivalent locations on the two retinae, which are sites that receive visual field information and are critical in combining the images from the two eyes into a single, three-dimensional perception.

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The imaginary circle that passes through both retinae and the fixation point is called the horopter. The horopter is important in visual perception as it represents the set of points in space that stimulate corresponding points on each retina, which is necessary for binocular vision and depth perception.


The Horopter is an imaginary circle that passes through both retinae and the fixation point. In this context:

1. "Imaginary" refers to the fact that the Horopter is a theoretical concept rather than a physical object.
2. "Retinae" are the light-sensitive layers at the back of both eyes, which play a crucial role in processing visual information.
3. "Fixation" is the point where both eyes are focused on a single object in the visual field.

In brief, the Horopter represents a collection of points in the 3D space that are perceived as having the same depth or distance as the fixation point. It helps in understanding binocular vision and depth perception, as points on the Horopter contribute to forming a single, fused image from both eyes.

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what is 5 to the power of 9 equal to ?​

Answers

Answer:

1953125 I calculated it... Thanks for the points

Step-by-step explanation:

5^9

=1953125 that's the answer trust me

estoy conduciendo pro la carretera durante un viaje a través del país, avanzas a una velocidad constante de 60 millas por hora ¿cuál es la pendiente de la recta que representa esta relación?
\(60\)

Answers

Answer:

Tu intiendo engles? Me inteindo poquito espanol but me no inteindo mas/

The wind speeds throughout the month of April were normally distributed with a mean of 17 mph. What percent of the days had wind speeds between 5

Answers

Answer:38

Step-by-step explanation:

the angle of elevation from a rowboat moored 75 feet from a cliff is 73.8 degrees.find the height of the cliff to the nearest foot.

Answers

The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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A cube with 2.0-cm sides is made of material with a bulk modulus of 4.7 x 10^5 N/m^2. When it is subjected to a pressure of 2.0 x 10^5 Pa is the length of its any of its sides is

Answers

The answer is 2.6825  cm, which is not one of the given options. Therefore, the correct answer is E. none of these.

What is the bulk modulus?

The bulk modulus, B is defined as:

B = (P / ΔV / V), where P is the pressure applied, ΔV is the change in volume, and V is the original volume.

For a cube, the change in volume, ΔV is related to the change in length, ΔL by:

\(\sf \Delta V = \Delta L^3\).

Given that the cube has 2.0 cm sides, the original volume, V is:

\(\sf V = (2.0 \ cm)^3 = 8.0 \ cm^3\).

The pressure applied is \(\sf P = 2.0 \times 10^5\) Pa and the bulk modulus is \(\sf B = 4.7 \times 10^5 \ N/m^2\).

We can rearrange the bulk modulus formula to solve for ΔL as:

\(\sf \Delta L = \huge \text(\dfrac{P}{B} \huge \text) \times \dfrac{V}{3}\).

Substituting the values, we get:

\(\sf \Delta L = (2.0 \times 10^5 \ \dfrac{Pa}{4.7} \times 10^5\ N/m^2) \times \dfrac{8.0 \ cm^3}{3} = 0.6825 \ cm\)

Therefore, the final length of any side of the cube is:

\(\sf L = 2.0 \ cm + \Delta L = 2.0 \ cm + 0.6825 \ cm = 2.6825 \ cm\)

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Complete Question:

A cube with 2.0-cm sides is made of material with a bulk modulus of4.7 × 10^5 N/m2. When it is subjected to a pressure of 2.0 × 10^5 Pa the length of its any of its sides is:

A. 0.85 cm

B. 1.15 cm

C. 1.66 cm

D. 2.0 cm

E. none of these

Q1: Use simple exponential smoothing with a = 0.75 to forecast the water pumps sales for February through May. Assume that the forecast for January was for 25 units. [4 marks) Month January February March April Air-condition sales 28 72 98 126

Answers

Therefore, using simple exponential smoothing with a = 0.75, the forecast for water pump sales for February through May are:- February: 26.5 units,  March: 37.63 units, April: 72.66 units.

To use simple exponential smoothing with a = 0.75, we first need to calculate the forecast for January:
F1 = 25 (given)
Next, we calculate the forecast for February using the formula:
F2 = a * Y1 + (1 - a) * F1
F2 = 0.75 * 28 + 0.25 * 25
F2 = 26.5 (rounded to one decimal place)
We repeat this process for each month, using the previous month's forecast and the actual sales data for the current month. The results are as follows:
Month      Actual Sales    Forecast
-------------------------------------
January           28          25
February          72          26.5
March             98          37.63
April            126          72.66
- May: 101.17 units
Hi, I'd be happy to help you with your question. To use simple exponential smoothing with a smoothing constant α = 0.75 to forecast the water pump sales for February through May, given that the forecast for January was 25 units, follow these steps:
Step 1: Start with the given forecast for January, which is 25 units.
Step 2: Calculate the forecast for February using the formula:
Forecast_February = α * (Actual_January) + (1 - α) * Forecast_January
Step 3: Calculate the forecast for March using the formula:
Forecast_March = α * (Actual_February) + (1 - α) * Forecast_February
Step 4: Calculate the forecast for April using the formula:
Forecast_April = α * (Actual_March) + (1 - α) * Forecast_March
Step 5: Calculate the forecast for May using the formula:
Forecast_May = α * (Actual_April) + (1 - α) * Forecast_April
Please note that you have provided sales data for air-conditioning sales, but the question is about water pump sales. If you meant to ask about air-conditioning sales, you can use the given sales data to calculate the forecasts for February through May. If you need help with water pump sales, please provide the correct sales data for January through April, and I will gladly help you with the calculations.

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Calculate the concentrations of all species present in 0.72 M
NH3 (Kb=1.8×10−5).
Express your answers using two significant figures separated by
commas. Enter the concentrations of the species in t

Answers

To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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Jasmine can run 4 5/6 miles in 2/3 of an hour. how many miles can she run in one hour

Answers

Jasmine can run in one hour is 7.25 miles.

What is the formula of unitary method?

The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit to the number of units to get the necessary value.

Given that,

Jasmine can run 4\(\frac{5}{6}\) miles in \(\frac{2}{3}\) of an hour.

\(\frac{2}{3}\) of an hour = 4\(\frac{5}{6}\) miles

                     = \(\frac{29}{6}\) miles

By using unitary method we will find the value of an hour.

1 hour = \(\frac{\frac{29}{6} }{\frac{2}{3} }\)

          =  \(\frac{29}{6}\) × \(\frac{3}{2}\)

          = \(\frac{29}{4}\)

1 hour  = 7.25 miles

Hence, Jasmine can run in one hour is 7.25 miles.

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List 3 measurements with different units that are equal to 5 meters

Answers

5m=500cm, 5m=5000mm, 5m=0.005km

Step-by-step explanation:

5 meters = 50 decimeters (10 decimeters per meter)

500 centimeters (100 centimeters per meter)

5000 millimeters (1000 millimeters per meter)

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A wheel with a radius of 45.0 cm rolls without slipping (c) the
along a horizontal floor At time ty, the dot P painted
on the rim of the wheel is at the point of contact between the
wheel and the floor. At a later time tz, the wheel has rolle
through one-half of a revolution. What is the displacement of wheel
during this interval?​

Answers

Therefore, the displacement of the wheel during this interval is approximately 141.372 cm.

To find the displacement of the wheel during this interval, we need to determine the distance traveled by a point on the rim of the wheel.

Given:

Radius of the wheel: 45.0 cm

The wheel rolls without slipping

The wheel rolls through one-half of a revolution

Since the wheel rolls without slipping, the distance traveled by a point on the rim of the wheel is equal to the circumference of the wheel for each complete revolution. Therefore, the distance traveled for one-half of a revolution is equal to half the circumference of the wheel.

The circumference of a circle can be calculated using the formula: C = 2πr, where r is the radius of the circle.

Using the given radius of the wheel, we can calculate the circumference:

C = 2π(45.0 cm) ≈ 2π(45.0) cm ≈ 282.743 cm (rounded to three decimal places)

Since the wheel rolls through one-half of a revolution, the displacement is equal to half the circumference of the wheel:

Displacement = 0.5 × 282.743 cm ≈ 141.372 cm (rounded to three decimal places)

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The wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

To find the displacement of the wheel during this interval

We must ascertain the wheel's distance traveled and the displacement's direction.

Since the wheel has completed one-half of a revolution, the distance it has gone is equal to half its circumference. The formula: can be used to determine a circle's circumference:

Circumference = 2 * π * radius

In this case, the radius of the wheel is 45.0 cm. Let's calculate the circumference:

Circumference = 2 * π * 45.0 cm

Circumference ≈ 2 * 3.14 * 45.0 cm

Circumference ≈ 282.6 cm

So, the distance traveled by the wheel is approximately 282.6 cm.

The wheel's displacement is the angular separation between its starting point, where it first makes contact with the ground, and its finishing point, where it stops after rolling through one-half of a rotation. The point of contact with the floor does not move since the wheel is moving without slipping.

Therefore, the wheel's displacement is equal to the 282.6 cm that it has covered in its voyage.

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what is the condition for the first dark fringe through a single slit of width w?

Answers

The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength= (λ/2).

This can be expressed mathematically as:
w * sin(θ) = (m + 1/2) * λ, where m = 0 for the first dark fringe, w is the slit width, θ is the angle of the dark fringe from the central maximum, and λ is the wavelength of light.
When light passes through a single slit, it diffracts and creates an interference pattern with alternating bright and dark fringes on a screen. The dark fringes occur when light waves from the edges of the slit interfere destructively, which means their path difference must be an odd multiple of half a wavelength (λ/2).
For the first dark fringe, we set m = 0 in the equation:
w * sin(θ) = (0 + 1/2) * λ
So, the condition for the first dark fringe is:
w * sin(θ) = λ/2

Hence, The condition for the first dark fringe through a single slit of width w is when the path difference between the light waves at the edges of the slit equals a half wavelength (λ/2). This can be represented by the equation w * sin(θ) = λ/2.

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Solve using substitution methody= -5x + 2y= -10x + 7

Answers

ANSWER

(1, -3)

EXPLANATION

Since we have y in function of x in both equations, we can replace the first equation into the second and solve for x:

\(\begin{gathered} -5x+2=-10x+7 \\ -5x+10x=7-2 \\ 5x=5 \\ x=1 \end{gathered}\)

And then replace x = 1 into one of the equations to find the value of y:

\(\begin{gathered} y=-5x+2 \\ y=-5\cdot1+2 \\ y=-5+2 \\ y=-3 \end{gathered}\)

The solution is (1, -3)

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Answers

\(m\angle E=\sin \dfrac{\sqrt{10}}{2\sqrt5}=\sin \dfrac{\sqrt2}{2}=45^{\circ}\)

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