How many packets,each of dimensions 16 cm by 9 cm by 4 cm can be placed in a cubical box of side 1.2m long ?

Answers

Answer 1

The number of packets of dimensions 16 cm by 9 cm by 4 cm in a cubical box will be 3,000.

What is the volume?

Volume is a measurement of three-dimensional space that is utilized. It is frequently mathematically quantified using SI-derived units or different imperial or US traditional units. The concept of length is linked to the notion of capacity.

The volume of each packet is given as,

v = 16 x 9 x 4

v = 576 cubic cm

The volume of the cubical box is given as,

V = (1.2 x 100) x (1.2 x 100) x (1.2 x 100)

V = 120 x 120 x 120

V = 1,728,000 cubic cm

Then the number of packets is given as,

n = V / v

n = 1,728,000 / 576

n = 3,000

The number of packets of dimensions 16 cm by 9 cm by 4 cm in a cubical box will be 3,000.

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Related Questions

I need help with problem

Answers

Answer:

Below    

Step-by-step explanation:

Since all of the lines are parallel and cut by a transversal .... the

 corresponding  angles are equal

8x - 11 = 7x +8

x = 19


For number 8 find the variable using the properties of a parallelogram

Answers

Applying one of the properties of a parallelogram, the value of x is 10°, then 6x=60° and 12x=120°.

Quadrilaterals

There are different quadrilaterals, for example square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, a parallelogram presents some properties that are presented below.

the opposite sides are equal and parallelthe opposite angles and the diagonals are equal.the adjacent angles are supplementary.

The figure of the exercise shows two adjacent angles. From the property: the adjacent angles are supplementary, you have:

6x+12x=180

18x=180

x=10°

Therefore, 6x= 6*10=60° and 12x=12*10=120°.

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Explain how to find answers please help!!!
A fiction novel series that costs the seller $38 has a markup rate of 62%. What is the selling price
of the fiction novel series?

Answers

on solving the provided question we can say that  the selling price of the fiction novel series is $61.56.

What is selling price?

Cost: The cost price is the amount paid for an item at the time of purchase or the cost for producing it. Costs are identified by the notation C.P. Selling price: The selling price is the price at which a thing is sold. The amount that the seller really receives when the sale is complete is known as the selling price. The price a seller pays for a good or service is really called the cost. A profit percentage is then added.

markup rate is 62%,

t the seller is adding 62% of the cost to the price to make a profit.

Markup = 62% of Cost = [tex]0.62 * $38 = $23.56[/tex]

Selling price = [tex]Cost + Markup = $38 + $23.56 = $61.56[/tex]

the selling price of the fiction novel series is $61.56.

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what is 4x + y= 108 y=x+2

Answers

Answer:

The solution to this problem is x = 26 over 11 , y =  6 over 11.

Step-by-step explanation:

Hope this helped!

Of the three important sources of resistance, which ones remain relatively constant?1.Blood viscosity 2.Blood vessel length

Answers

The blood viscosity and vessel length remain relatively constant, the regulation of vessel radius becomes the primary mechanism for controlling resistance in the body.

Blood viscosity refers to the thickness or stickiness of blood, which is determined by the number and size of red blood cells, as well as the concentration of proteins and other substances in the plasma.

Blood viscosity affects resistance because the thicker the blood, the more difficult it is for it to flow through the blood vessels.

Blood vessel length refers to the distance that blood has to travel through the vessels, which affects resistance because the longer the vessel, the more difficult it is for blood to flow through it.

However, vessel length remains relatively constant in the body because it is determined by the body's anatomy and does not change significantly over time. Therefore, the only time when vessel length can change is during a surgical procedure or injury that alters the anatomy of blood vessels.

Mathematically, the resistance to blood flow (R) can be calculated using the formula R = (8 x viscosity x length) / (π x radius⁴).

This formula shows that blood viscosity and vessel length are directly proportional to resistance, while vessel radius is inversely proportional.

Therefore, any increase in blood viscosity or vessel length will increase resistance, while any decrease in vessel radius will increase resistance.

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25 points! Multiply and simplify. Show all steps to earn full credit. Circle your final answer (or highlight final answer in yellow if typing). (4 points)
(2x−3)(4x^2−5x+2)

Answers

Answer: [tex]8x^{3}-22x^{2} +19x-6[/tex]

Step-by-step explanation:

Ennis wants to make a border for a triangular-shaped vegetable garden. He has 4 pieces of wood that measure 8 inches, 10 inches, 12 inches, and 18 inches. How many different triangular borders can ennis make?.

Answers

After considering all the combinations of three pieces of wood, we can conclude that Ennis can make 2 different triangular borders for his vegetable garden.

A triangle is a shape with three sides, and each side can be considered as a side length. In order to form a triangle, the sum of the lengths of the two shorter sides must be greater than the length of the longest side.

To find the number of different triangular borders that Ennis can make, we need to consider all the combinations of three pieces of wood as the sides of the triangle. There are four pieces of wood, so the number of combinations of three pieces is 4 choose 3, which is 4.

Now, we need to determine if each combination of three pieces of wood forms a triangle. If the sum of the lengths of the two shorter sides is greater than the length of the longest side, it forms a triangle. If not, it does not form a triangle.

If Ennis uses the 8-inch and 10-inch pieces as two sides, he can use the 12-inch or 18-inch piece as the third side, and it forms a triangle.

If he uses the 8-inch and 12-inch pieces as two sides, he can only use the 10-inch piece as the third side, and it forms a triangle. If he uses the 8-inch and 18-inch pieces as two sides, it does not form a triangle.

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27. Table 2 show rates of tax on salary per month for certain country. Table 2. Salary per month Tax rate First K9000.00 % (tax free) Next K10000.00 15% Next K12000.00 25% Next K15000.00 35% If a worker earns K30000.00 per month, calculate the worker's monthly tax. 25%​

Answers

The amount of the worker monthly tax will equals to K4,850.

What are worker income tax?

An income tax refers to the tax imposed on individuals or entities in respect of the income earned by them. It is computed as the product of a tax rate times the taxable income. They may vary by type or characteristics of the taxpayer and the type of income

To calculate the worker's monthly tax, we need to determine the amount of salary that falls into each tax bracket and then calculate the tax owed for each bracket:

For a monthly salary of K30,000, the first K9,000 is tax-free, leaving K21,000 to be taxed. Of this K21,000, the first K10,000 is taxed at 15%, which gives a tax of K1,500. The next K12,000 is taxed at 25%, which gives a tax of K3,000.Finally, the remaining K-1,000 is taxed at 35%, which gives a tax of K350.

The worker's monthly tax is then computed as:

=  K1,500 + K3,000 + K350

= K4,850.

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How do I work this, don’t feel rushed I have until morning!

Answers

Step-by-step explanation:

Perimeter of a Semicircle

[tex](\pi )(r) + 2r[/tex]

R = 0.6 since that's half the diameter

[tex](3.14)(0.6) + (2)(0.6)[/tex]

[tex]1.884 + 1.2 = 3.084[/tex]

Which rounds to 3.1

I hate these kind of questions. I forgot how to do it :)

Answers

The length of the right triangle x is 2√5 units.

How to find the side of a right triangle?

A right triangle is a triangle that has one of its angles as 90 degrees. The sum of angles in a triangle is 180 degrees.

Therefore, the sides of the right triangle can be found using Pythagoras's theorem,

Hence,

c² = a² + b²

where

a and b are the legsc = hypotenuse side

Therefore,

x² = 6² - 4²

x² = 36 - 16

x² = 20

square root both sides

x = √20

x = 2√5

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what day is 75 days from now?

Answers

The date that is 75 days from now, if today is February 22, 2023, is May 8, 2023.

To find the date that is 75 days from now, we can start with the current date and add 75 days to it. This can be done by adding the number of days to the day of the month, and if necessary, advancing to the next month or year.

For example, if today is February 22, 2023, we can count forward 75 days on a calendar to find the date that is 75 days from now. This would take us to May 8, 2023.

Here is the mathematical calculation:

Current date + 75 days = (February 22, 2023) + 75 days

= February 22, 2023 + 75 days

= (February 22, 2023 + 31 days) + (44 days)

= March 25, 2023 + 44 days

= (March 25, 2023 + 30 days) + (14 days)

= April 24, 2023 + 14 days

= (April 24, 2023 + 14 days)

= May 8, 2023

Therefore, the date that is 75 days from now, if today is February 22, 2023, is May 8, 2023.

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The function f(x)=90(16)x describes an exponential growth function, where x is the time in years. How long does it take the initial value to double?

Answers

Answer: 1440x or 1440

Step-by-step explanation:

Jimmy is an accountant who also works part-time as a museum tour guide. Information from his tax worksheet is wages from accounting job, $75,937.84; wages from museum job, $14,937.92; interest, $839.40; and dividends, $123.45. What is Jimmy’s total income?

Answers

Jimmy’s total income is $91838.61

How to determine Jimmy's income?

You should understand that total income' refers to the sum of certain incomes (in cash and, in some circumstances, in kind) of the statistical unit during a specified reference period

The given parameters that will help us to determine the income are

wages from accounting job,             $75,937.84;

interest,                                                   $839.40

wages from museum job,                  $14,937.92;

dividends,                                                $123.45.

Therefore Jimmy's total income is the sum of all the incomes

$(75,937.84 + 839.40 + 14,937.92 + 123.45)

Total income = $91838.61

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If g(x) = x², what is the value of g(a + 2)?

Answers

Answer:

[tex](a+2)^2[/tex]

Step-by-step explanation:

Substitute [tex]x=a+2[/tex] into [tex]g(x)[/tex].

Part E
If you’re a frequent flyer who travels to many different airports, and you have the choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?

Answers

Answer:

Щоб визначити, яка авіакомпанія має кращий досвід прибуття вчасно, ми можемо переглянути їхню статистику ефективності вчасності. Згідно з даними Міністерства транспорту США, у 2020 році показник своєчасних прильотів у SkyWest Airlines становив 85,8%, а у Southwest Airlines – 83,5%. Це означає, що у 2020 році SkyWest Airlines мала кращий досвід прибуття вчасно, ніж Southwest Airlines.

Однак варто зазначити, що своєчасна продуктивність може змінюватися залежно від низки факторів, включаючи погоду, управління повітряним рухом і проблеми з обслуговуванням. Також важливо врахувати інші фактори, які можуть бути для вас важливими, наприклад вартість авіаквитків, наявність рейсів у бажані пункти призначення та якість обслуговування під час польоту. Таким чином, незважаючи на те, що оперативність є важливим фактором, який слід враховувати при виборі авіакомпанії, це може бути не єдиним фактором, який вам слід враховувати.

Step-by-step explanation:

A spinner is divided into six equal parts numbered 1, 2, 3, 4, 5, and 6. In a repeated experiment, Ryan spun the spinner twice. The theoretical probability of both spins being odd numbers is 9 over 36.

If the experiment is repeated 140 times, predict the number of times both spins will be odd numbers.

140
70
36
35

Answers

So, based on the theoretical likelihood, we anticipate that 35 times out of 140 repeats, both spins will be odd numbers.

What is probability?

Probability is a branch of mathematics that deals with the study of random events and the likelihood of their occurrence. Probability is expressed as a number between 0 and 1, with 0 indicating that an event is impossible to occur and 1 indicating that an event is certain to occur. The probability of an event A, denoted by P(A), is calculated as the number of favorable outcomes for the event divided by the total number of possible outcomes. For example, if a fair six-sided die is rolled, the probability of rolling a 3 is 1/6 because there is only one favorable outcome (rolling a 3) out of the total 6 possible outcomes. Probabilities can be used to make predictions about the likelihood of future events and to make decisions under uncertainty. Probabilities can also be used to describe the distribution of random variables and to quantify the relationship between different events. Probability theory is widely used in many fields, such as statistics, engineering, finance, physics, and biology, among others.

Here,

The theoretical probability of both spins being odd numbers is 9 over 36, which means that for every 36 times the experiment is repeated, we expect 9 of those times to result in both spins being odd numbers.

If the experiment is repeated 140 times, we can use the theoretical probability to estimate the number of times both spins will be odd numbers as follows:

140 * (9/36) = 35

So, based on the theoretical probability, we predict that both spins will be odd numbers 35 times out of 140 repetitions.

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Leo Gandolfi takes out a short-term loan of $1,800 at 12 percent
for 6 months. The monthly payment is $310.50. The balance of the loan after 4 payments is
$612.34. How much does he save by paying off the loan when the next payment is due?
A $6.12
R2 $18.00
C
2,353
SCIO

Answers

In a linear equation, 9.14 does he save by paying off the loan when the next payment is due .

What in mathematics is a linear equation?

An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation.

                               Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Jan  293  18  311  1,507 16.25%

Feb  296  15  311  1,212 32.67%

Mar 298           12  311   913 49.25%

Apr  301            9  311   612 66.00%

May  304    6  311  308 82.92%

Jun  308    3  311    0        100.00%

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What is the result when the number 76 is decreased by 39%? Round your answer to the nearest tenth?

Answers

Answer:

46.4

Step-by-step explanation:

lets use a multiplier instead

100-39=61

so 76 x 0.61 = 61% of 76

76 x 0.61 = 46.36

rounded to the nearest tenth would be rounded up

46.4

Please help! I will mark you "brainliest" if you write an answer.

Answers

The correct statement regarding the solution to the system of equations is given as follows:

b. (1,2) is a solution to both the lines A and B.

How to obtain the solution to the system of equations?

We want to obtain the graphic solution for the system of equations, hence we obtain the point of intersection of the two equations.

This point of intersection is a solution to both of the equations, hence it is the solution to the system of equations.

The coordinates of the point of intersection in this problem are given as follows:

(1,2).

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A backcountry airport has a runway that is 150 feet long. Approximately 75 feet past the runway is a large
grove of trees that average in height around 100 feet tall. What angle of elevation must a pilot take in
order to avoid crashing into the trees? Round to the nearest hundredths.
Select an answer
Question Help: Message instructor

Answers

To find the angle of elevation, we need to determine the height of the plane relative to the trees, and then use the tangent function to find the angle. Let's call the height of the plane "h".

We can set up a right triangle with the height of the plane, the distance from the runway to the trees, and the height of the trees.

We have:

h / (150 + 75) = 100 / h

Solving for h, we find that:

h = 125

So the height of the plane relative to the trees is 125 feet.

Now we can use the tangent function to find the angle:

tan(angle) = 100 / 125

angle = tan^-1(100 / 125)

angle = approximately 53.13 degrees

Rounding to the nearest hundredths, the angle of elevation that the pilot must take to avoid crashing into the trees is 53.13 degrees.

find the unit tangent vector T and the curvature k for the following parameterized curver(t) = <9 cos t, 9 sin t, sqrt(3) t>

Answers

The unit tangent vector T and the curvature k is √2/3

Unit Tangent Vector and Curvature are two important concepts in vector calculus that are used to describe the behavior of curves in space.

To find the Unit Tangent Vector, we must first find the derivative of the curve. The curve is defined as (t) = <9 cos t, 9 sin t, √(3) t>, so taking the derivative with respect to t, we get:

d(t) / dt = < -9 sin t, 9 cos t, √(3) >

Next, we want to normalize this vector to get the Unit Tangent Vector, T. To do this, we divide the vector by its magnitude, which is given by:

=> √((-9 sin t)² + (9 cos t)² + (√(3))²)

=> √(81 + 81 + 3) = 9 √(3)

So, the Unit Tangent Vector is given by:

T = d(t) / dt / |d(t) / dt|

T = < -9 sin t / 9 √(3), 9 cos t / 9 √(3), √(3) / 9 √(3) >

T = < -sin t / √(3), cos t / √(3), 1 / 3 √(3) >

To find the Curvature, we use the formula:

k = |dT / dt|

where T is the Unit Tangent Vector and dT / dt is the derivative of the Unit Tangent Vector. To find dT / dt, we take the derivative of T with respect to t:

dT / dt = < cos t / √(3), -sin t / √(3), 0 >

Finally, the magnitude of dT / dt gives us the Curvature:

=> √((cos t / √(3))² + (-sin t / √(3))² + (0)²)

=> √(1 / 3 + 1 / 3) = √(2 / 3) / √(3)

So, the Curvature is given by:

k = √(2 / 3) / √(3)

k = √2 / 3

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A cylinder has a volume of 1 and one third in3 and a radius of one third in. What is the height of a cylinder? Approximate using pi equals 22 over 7.
42 over 6 inches
42 over 9 inches
42 over 11 inches
42 over 22 inches

Answers

Answer:

42/11!

Step-by-step explanation:

So first, you need to make sure you have the formula which is V= Base X height. The base is the area of 1 circle, so you multiply the radius X radius X PI.

1/3 x 1/3 is 1/9. 22/7 is used as pi so multiply 1/9 by 22/7 and you get 22/63. Now you divide that by 4/3. When dividing fraction, you keep the first decimal (4/3) the same, turn the division symbol into a multiplication one, and flip the last fraction (so 22/63 is now 63/22!).

Now you just solve 4/3 x 63/22, which will give you 252/66. Now simplify that by dividing both numbers by 3 until you get the smallest answer, which is 42/11!

The height of the cylinder is approximately 42/11 inches. The answer is option C.

Here, we have,

we know that,

The formula for the volume of a cylinder is V = πr²h,

where V is the volume, r is the radius, and h is the height.

We are given that the volume of the cylinder is 1 and one-third in^3 and the radius is one-third in. Substituting these values into the formula, we get:

1 and one-third = 4/3

V = π(1/3)²h = 4/3

Simplifying the equation, we get:

h = (4/3) / (π(1/3)²)

  = (4/3) / (π/9)

  = (4/3) * (9/π)

  = 12/π

Approximating π as 22/7, we get:

h ≈ (12/π)

  ≈ (12/(22/7))

  = 42/11 inches

Therefore, the height of the cylinder is approximately 42/11 inches. The answer is option C.

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Decide which of the given units would be the most appropriate to use for
a) the height of a building: kilometres, metres or centimetres?
b) the mass of a pen: grams, tonnes or kilograms?
c) the capacity of a paddling pool: millilitres or litres?

Answers

The measurement units along with  the measured quantities are given as -

The height of a building : metersThe mass of a pen : gramsThe capacity of a paddling pool : liters

What are measurement units?

Measurement units are used to measure the total amount of any specific quantity.

Given are the units to measure the various quantities as given.

{a} -

Height of building is measured in meters.

The height of a building : meters

{b} -

Small quantities of mass is measured in grams.

The mass of a pen : grams

{c} -

The capacity of a paddling pool : liters

Therefore, the measurement units along with  the measured quantities are given as -

The height of a building : metersThe mass of a pen : gramsThe capacity of a paddling pool : liters

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The net of a square pyramid and its dimensions are shown in the diagram. 1 276 2 1 12 ft 10 ft 7 8 ft What is the total surface area of the pyramid in square feet?​

Answers

The surface area of the given pyramid is 336 square feet. the correct answer would be an option (F) 336 ft².

What is the total surface area of the pyramid?

A square pyramid's total surface area is the total area covered by its four triangular sides and square base. The formula may be used to calculate the total surface area of a square pyramid with slant height.

The surface area of a square pyramid = a² + 2al

The figure of the square pyramid is given in the question, as shown

The surface area of the pyramid = a² + 2al

Here a = 12 ft and l = 8 ft

Substitute the values of a = 12 ft and l = 8 ft in the formula,

The surface area of the pyramid = 12² + 2 × 12 × 8

The surface area of the pyramid = 336 square feet

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The question seems incomplete, the correct question would be as:

Find the value of sin S rounded to the nearest hundredth, if necessary.

Answers

Answer:

Step-by-step explanation:

sin angle S = [tex]\frac{opposite}{hypotenuse}[/tex]

sin S = [tex]\frac{30}{hypotenuse}[/tex]

To complete the ratio we need to find the hypotenuse:

a² + b² = c²

16² + 30² = c²

256 +  900 = c²

1156 = c²

√1156 = √c²

34 = c

Now substitute 34 in the sin ratio:

[tex]\frac{30}{34}[/tex] = .8824

nearest hundredth = .88

Hi can someone help please this is due tomorrow

Answers

a. Two out of every 3 seniors at Lewis High apply for college, so the number of seniors who apply for college is 2/3 (or approximately 0.67) times the total number of seniors at Lewis High.

How to calculate the values

b. The number of seniors who apply for college is one-third (or approximately 0.33) less than the number of seniors who don't apply.

c. One-third (or approximately 0.33) of the graduating seniors at Lewis High do not apply to college.

d. Three out of every 5 seniors who apply for college are female students, so two out of every 5 seniors who apply for college are male students. Therefore, the fraction of seniors who are males who apply for college is 2/5 (or approximately 0.4).

The number of males who apply for college is 2/3 of the total number of seniors who apply for college, which is (2/3) * (2/5) = 4/15 (or approximately 0.27) times the total number of graduating seniors at Lewis High.

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The ratio of men to women working for a company is 5 to 6. If there are 95 men working for the company, what is the total number of employees

Answers

Answer:

114

Step-by-step explanation:

5 : 6

5 + 6 =11

5/6 x y = 95

y = 95 / 5/6

= 95 x 6/5

= 114

Therefore total number of employees is 114 :)

the answer is 209 which i got by dividing 95 by 5 and multiplying that by 6. I then added the outcome of that and added
it back to 95

Noah would like to cover a rectangular tray with rectangular tiles. The tray has a width of 2 1/2 and an area of 4 3/4. What is the length of the tray?

Answers

The length of the rectangular tray is 1 9/10

What is a Rectangle?

Rectangle is a four-sided flat shape where every angle is a right angle (90°).

Area of a Rectangle = Length * Width

where,

Area = 4 3/4

Length = ?

Width = 2 1/2

To find the length of the tray,

Length = Area/Width

Length = 4 (3/4) / (2 1/2)

Length = (19/4) / (5/2)

Length = 19/4 * 2/5

Length = 19/10

Length = 1 9/10

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16÷8
Like as an equivalent multiplication expression

Answers

Answer: 16*(1/8)

Step-by-step explanation:

X, Y, Z Axis. What do they stand for?

Answers

The X, Y, and Z axes define a three-dimensional coordinate system, which is commonly used to represent physical objects or mathematical functions in space.

The X, Y, and Z axes are terms commonly used in mathematics, physics, engineering, and computer graphics to refer to the three dimensions in a three-dimensional coordinate system.

The X-axis is the horizontal axis and is used to represent values along the horizontal plane. It is often called the "abscissa" and is typically drawn as a horizontal line that intersects with the Y-axis at the point where they meet, which is called the origin.

The Y-axis is the vertical axis and is used to represent values along the vertical plane. It is often called the "ordinate" and is typically drawn as a vertical line that intersects with the X-axis at the origin

.The Z-axis is the third axis and is used to represent values along the depth or height plane. It is often called the "applicate" and is typically drawn as a line that is perpendicular to both the X and Y axes, intersecting with both at the origin.

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For each of the following compounds, predict the energy barrier to rotation (looking down any one of the CC bonds). Draw a Newman projection and then compare the staggered and eclipsed conformations. Remember that we assigned 4 kJ/mol to each pair of eclipsing Hs and 6 kJ/mol to an H eclipsing a methyl group:(a) 2,2-Dimethylpropane(b) 2-Methylpropane Finishes using microcapsules can provide the following effect:fragrances, skin moisturizer, insect repellentTrue or False the unary scope resolution operator is used: group of answer choices to access any variable in an outer block when a local variable of the same name is in scope. to access a global variable when it is out of scope. to access a local variable with the same name as a global variable. to access a global variable when a local variable of the same name is in scope. Suppose you are analyzing a newly discovered unicellular organism to determine whether it should be classified as a prokaryote or eukaryote. Which approach should you take? Observe whether the organism moves about using flagella or cilia. Analyze the metabolic reactions taking place in the cytoplasm. Test whether the organism can carry out photosynthesis. Determine whether the organism uses cytoskeletal proteins to provide structure within its cell. Study the type of compartmentalization of functions within the cytoplasm. what is an example of an external recruitment source? home Gates its character from its residents give your thoughts on this quote write about a house you visited that has created a long lasting impression choose the best description of kinetic energy. a. the energy an object has due to its motion b. the energy an object has due to its position c. heat that is lost or gained in a reaction d. energy that spontaneously becomes more ordered I need the code to run this expected output in Java and I need it explained, please. (ignore the code I have) What is the primary issue that is dividing the north and south National results for the SAT test show that for college-bound seniors the average combined SAT Writing, Math and Verbal score is 1500 with a standard deviation of 250. National results for the ACT test show that for college-bound seniors the average composite ACT score is 20.4 with a standard deviation of 4.8.Sean took both the SAT and the ACT college entrance exams. His SAT score was 1700 and his ACT score was 24. He wants to know on which test he performed better.Find the z-scores for his result on each exam. What are the 4 main features of the Theatre of the absurd? How to include fixed effects in regression Stata? What happens to the water after an ice burg is formed? during the korean war, what prompted president truman to fire general macarthur? for this activity we will use these three types of unemployment:frictional unemployment includes people who are temporarily between jobs. they may have quit one job to findanother, or they could be trying to find the best opportunity after graduating from high school or college.cyclical unemployment includes people who are not working because firms do not need their labor due to a lack ofdemand or a downturn in the business cycle. for example, if people are not buying many goods and services, workersare laid off.6 Draw the image of triangle ABC under a dilation whose center is P and scale factor is 3 In each circuit configuration below: 1) Identify Drain, Gate, Body and Source terminals assuming the devices is an NMOS 2) Identify operating region of each transistor (cutoff, linear, or saturation). 3) Determine the drain current Assume Vin=0.5 V, and K'.(W/L) =1mA/V2. Ignore the body effect. 2.6V 0.1 V (b) 2.5 V 1.2 v 0.8V 3 2.5 V (d) 25 V 2.0V (c) 25V 15V ( 2.5 V 2.5V OSV 2. Repeat part 1, assuming the transistors to be PMOS Assume Vp = 0.5 V, and K.(W/L)-ImA/V9. Ignore the body effect. What is the meaning of "to work from a position of strength" and "forceful maneuver"? nlike followers of Jeffersonian Democracy, people who supported Jacksonian DemocracyA) Supported the elimination of slaveryB) Believed the Federal government should control tradeC) Opposed property rights being linked to voting rightsD) Believed party elites should choose elected officials 8)Determine the measureof angle 8.G.8.B