classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet.

Answers

Answer 1

The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.

Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.

In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.

In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.

Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.

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Complete question:

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.


Related Questions

A little boy accidentally let go of his ballioon, and it floated away. It was 2 meters above the
ground when he let go, and it steadily rose 1 meter per second.
Write an equation that shows the relationship between the number of seconds since the boy
let the balloon go, x, and its elevation in meters, y.
y=

Answers

Answer:

Step-by-step explanation:

y=2+x

1m per second.

2+1x=2+x=y

find the relational column formula.

how do i estimate and angle within 10 degree

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what is even numbers and

Please help need help asap :))

Answers

The side of the triangle from shortest to longest can be arranged as,

ACABBC

What is a triangle?

A triangle is a polygon with three sides such that the sum of all the interior angles is always 180°.

In a triangle, the side opposite to the biggest angle is always the lengthiest, while the side opposite to the smallest angle is the shortest.
Given that the measure of ∠A is 100°, therefore, the length of the side BC will be the lengthiest.
Also, the measure of ∠B is 20°, therefore, the length of the side AC will be the shortest.

Hence, BC > AB > AC.

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What is the area of this compound figure?

Answers

Answer:

66mm

Step-by-step explanation:

If a1 ​ =7 and a n ​ =4a n−1 ​ then find the value of a 4 ​ .

Answers

The value of a₄ is 19.

What is arithmetic progression?

A progression or sequence of numbers known as an arithmetic sequence maintains a consistent difference between each succeeding term and its predecessor. The common difference in that mathematical progression is the constant difference.

Here, we have

Given: a₁ ​ =7 and aₙ ​ = aₙ₋₁ + 4

We have to find the value of a₄.

a₁ ​ =7

aₙ ​ = aₙ₋₁ + 4

aₙ ​- aₙ₋₁ = 4

The common difference is 4.

In order to solve, replace the value of the previous answer with the equation for the next answer.

a₁ = 7

a₂ = 7 + 4 = 11

a₃ = 11 + 4 = 15

a₄ = 15 + 4 = 19

Hence, the value of a₄ is 19.

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Andre luke and shemai had 1400 marbles. If andre had 200 fewer than luke and twice as many as shemai. How many did luke receive

Answers

Luke received a total of 640 marbles from the total of 1400 marbles that Luke, Andre and Shema had combined.

Luke, Shemai and Andre combined has 1400 marbles. Andre has 200 fewer than Luke and twice as many as Shemia.

Now, let us say that Luke had X marbles then Andre will have X-200 marble and Shemai will have X/2 marbles.

Now, all the marbles combined will be equal to 1400, so, the simple algebraic relation will be,

X + X-200 +X/2 = 1400

X+X+X/2 = 1600

5X/ = 3200

X = 640

So, Luke will have a total of 640 marble while Andre and Shemai will have 440 and 320 marbles each.

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16.0 meters Question 9(Multiple Choice Worth 2 points) (09.06 MC) 01.6 meters Sara's Kite flew 48 meters in the air. Tayjen's kite flew 5,860 centimeters in the air. How much higher was Tayjen's kite​

Answers

Tayjen's kite flew 5,860 centimeters in the air then Tayjen's kite flew 10.6 meters higher than Sara's kite.

What is BODMAS?

BODMAS is an acronym used to remember the order of operations in arithmetic. The acronym stands for:

B - Brackets (or Parentheses)

O - Orders (exponents and roots)

DM - Division and Multiplication (performed left to right)

AS - Addition and Subtraction (performed left to right)

BODMAS provides a set of rules that dictate the order in which mathematical operations should be performed in an expression that contains multiple operations. It is important to follow the order of operations to ensure that the expression is evaluated correctly and consistently. For example, in the expression 5 + 3 x 2, if we follow the BODMAS rule, we first perform the multiplication (3 x 2) and then the addition (5 + 6), giving us the answer of 11. If we were to perform the addition first, we would get a different answer (5 + 3 = 8, and 8 x 2 = 16), which would be incorrect.

To compare the height of Sara's kite, which is measured in meters, with the height of Tayjen's kite, which is measured in centimeters, we need to convert Tayjen's kite's height to meters.

To do that, we divide the height of Tayjen's kite by 100, since there are 100 centimeters in a meter:

5,860 centimeters ÷ 100 = 58.6 meters

Now we can compare the heights of the two kites:

58.6 meters - 48 meters = 10.6 meters

Therefore, Tayjen's kite flew 10.6 meters higher than Sara's kite.

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Asunta's Candle Store ordered 750 candles at a total wholesale cost of $8,660.34.
The soy candles cost $12.83 each and the specialty candles cost $10.72 each.
How many of each type of candle were ordered?

Answers

The soy candles cost $12.83 each and the specialty candles cost $10.72 each then the Asunta's Candle Store ordered 293 soy candles and 457 specialty candles.

What is system of linear equations?

Let's use the following variables:

Let x be the number of soy candlesLet y be the number of specialty candles

We have two equations based on the information given in the problem:

x + y = 750 (the total number of candles ordered)12.83x + 10.72y = 8660.34 (the total wholesale cost of the candles)

To solve for x and y, we can use a system of linear equations. One way to do this is to solve for one variable in one equation, and substitute that expression into the other equation. For example, we can solve for x in the first equation:

x + y = 750

x = 750 - y

Then we substitute this expression for x in the second equation:

12.83x + 10.72y = 8660.34

12.83(750 - y) + 10.72y = 8660.34

Simplifying and solving for y:

9622.5 - 2.11y = 8660.34

-2.11y = -962.16

y = 456.5

We can then substitute this value for y in the first equation to find x:

x + y = 750

x + 456.5 = 750

x = 293.5

Therefore, Asunta's Candle Store ordered 293 soy candles and 457 specialty candles.

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The diameter of a fountain is 9 meters. A sidewalk that is 0.7 meters will be built around it. Find the diameter
Round to the nearest tenth

Answers

An estimated Rs. 1863.40 will be needed to cement the route.

What is meant by Cost?A mathematical formula known as a cost function can be used to determine the overall cost of production for a given quantity of goods produced. We'll go into more detail about the cost function below. Representation of unit expenses in relation to the production of 1 or more units during a construction project. For instance, the most popular cost function has the formula y = a + bx, where y is the total cost, an is the total fixed cost, b is the variable cost per unit of production or sales, and x is the number of units produced or sold. This formula sums the fixed costs and the variable costs to represent the total cost.

Diameter of park [tex]$=7 \mathrm{~m}$[/tex]

so, radius of park [tex]$=\mathrm{r}_1=3.5 \mathrm{~m}$[/tex]

Width of park [tex]$=0.7 \mathrm{~m}$[/tex]

Bigger radius of park [tex]$=\mathrm{r}_2=0.7+3.4=4.2 \mathrm{~m}$[/tex]

Now, Area of path = area of bigger circle -area of smaller circle

[tex]$=\pi r_2^2-\pi r_1^2=$ $\pi\left(r_2^2-\mathrm{r}_1^2\right)=\frac{22}{7}\left(4.2^2-3.5^2\right)=\frac{22}{7}(17.64-12.25)=16.94 \mathrm{~m}^2$[/tex]

Also, Cost of expenditure = rate [tex]$\times$[/tex] area [tex]$=110 \times 16.94=1863.40$[/tex]

Cost of Expenditure of cementing the path is Rs. 1863.40.

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Factor the following expressions.
(a-7)-y(a-7)
8a(x+y)-(x+y)

Answers

Answer:

(x+y)(8a - 1)

Step-by-step explanation:

For the first expression:

(a-7) - y(a-7)

We can factor out (a-7) from both terms:

(a-7)(1 - y)

So, the factored expression is:

(a-7)(1 - y)

For the second expression:

8a(x+y) - (x+y)

We can factor out (x+y) from both terms:

(x+y)(8a - 1)

So, the factored expression is:

(x+y)(8a - 1)

Answer: (1-y)(a-7) and (8a-1)(x+y)

Step-by-step explanation:

When the values in the parentheses are the same twice, they reappear only once after grouping. In the first problem, the coefficients are 1 and -y, therefore, the answer becomes (1-y)(a-7).


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MM

You make 3 quarts of tomato sauce from 2 baskets of tomatoes. How much tomato sauce can you make from 5 baskets of tomatoes?
7 1/2 quarts
3 1/3 quarts
4 quarts
6 quarts

Answers

5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.

What is cross-multiplication?

To discover the unknown values in a mathematical equation, we cross multiply the numbers in the equation. The method of cross multiplication is frequently employed to identify the missing variable in an equation. We multiply both the numerator and denominator of the provided expression or fractions.

Given that, we get 3 quarts of tomato sauce from 2 baskets of tomatoes.

Thus,

2 baskets = 3 quarts

5 baskets = x

Use the method of cross multiplication or butterfly method for multiplication.

x = (3)(5)/2

x = 15/2

x = 7 1/2

Hence, 5 baskets of tomatoes can make 7 1/2 quarts of tomato sauce.

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Which properties justify the steps taken to solve the system {2a+7b=0 3a-5b=31

Drag the awnsers into the boxes to match each step ASAP

Answers

The properties justify the steps are taken to solve the system 2a+7b=0 3a-5b=31 as Multiplication, Substraction, Division,  Simplify, etc.,

What is the linear equation?

A linear equation is an algebraic equation of the form y=mx+b. where m is the slope and b is the y-intercept.

'The properties that justify the steps taken to solve the system 2a + 7b = 0, 3a - 5b = 31 are:

2a + 7b = 0, 3a - 5b = 31

10a + 35b = 0, 21a - 35b = 217   <-------> Multiplication property of equality.

31a = 217                                      <-------> Substraction property of equality.

a = 7                                            <-------> Division property of equality.

2(7) + 7b = 0,                             <-------> Substitution property of equality.

14 + 7b = 0,                              <-------> Simplify  

7b = -14,                                   <-------> Simplify  

b = -14/7,                                  <-------> Division property of equality.

b = -2

Therefore, the properties justify the steps are taken to solve the system 2a+7b=0 3a-5b=31 as Multiplication, Substraction, Division,  Simplify, etc.,

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. Find the union and intersection of sets and their complements. The universal set S is the set of all natural
numbers less than 10.
S = {1, 2, 3, 4, 5, 6, 7, 8, 9)
Z= (1, 2, 4, 6, 8, 9)
a. XUY
X = {1, 3, 5, 7, 9}
b. x nz
Y= {1, 5, 6, 7)
c. ~X

Answers

The information from the given set have the following solutions for:

a) X ∪ Y = {1, 3, 5, 6, 7, 9}

b) X ∩ Z = {1, 9}

c) X' = {2, 4, 6, 8}

What is set?

In mathematics, a set is a collection of distinct objects, called elements or members, that share a common property or are grouped together for some reason. A set can be finite or infinite.

For the universal set S = {1, 2, 3, 4, 5, 6, 7, 8, 9}

Z = {1, 2, 4, 6, 8, 9}

X = {1, 3, 5, 7, 9}

Y = {1, 5, 6, 7}

we shall evaluate for the following:

X ∪ Y = {1, 3, 5, 6, 7, 9} {all the elements in X and Y}

X ∩ Z = {1, 9} {the elements common to X and Z}

X' = {2, 4, 6, 8} {all the elements in the universal set not in X}

Therefore, the information from the given set have the following solutions for:

a) X ∪ Y = {1, 3, 5, 6, 7, 9}

b) X ∩ Z = {1, 9}

c) X' = {2, 4, 6, 8}

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It takes an older computer twice as long to send out a company's email as it does a newer computer. Working together, it takes the two computers 5 minutes to
send out the email. How long will it take the newer computer to send out the email on its own?
Do not do any rounding.
minutes

Answers

The time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.

What is a unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

Let,

Time taken by new computer to send 1 email = x

Time taken by the old computer to send same mail = 2x

Using unitary method

In 1 minute

Work done by new computer = 1/x

Work done by old computer =1/2x

Given the time taken when both computers work together  = 5 minutes

Work done in 1 minute by both = 1/5

So we can write,

1/x + 1/2x = 1/5

3/2x = 1/5

x = 7.5 minutes

Therefore the time taken by the new computer to send an email found using the unitary method, is 7.5 minutes.

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lThe table below shows the price of different quantities
of standard-sized lemons at Joe's Fruit Stand. What is the
least amount of money needed to purchase exactly 20
standard-sized lemons if the bags must be sold intact
and there is no tax charged for lemons?
Number of lemons:
Total price:
$3.60
1
$0.30
bag of 6
$1.20
bag of 12
$2.10

Answers

The least amount of money needed to purchase exactly 20 standard-sized lemons is $1.50, by buying three bags of 6 lemons each and two individual lemons.

What is Combination?

In mathematics, a combination is a way of selecting items from a larger set without regard to the order in which the items are selected. In other words, a combination is a selection of a subset of items from a larger set, where the order of the selected items does not matter.

The number of possible combinations of r items selected from a set of n items is denoted by the notation C(n, r), or sometimes written as nCr. The formula for calculating the number of combinations is:

                      C(n, r) = n! / (r! * (n - r)!)

To purchase exactly 20 standard-sized lemons at Joe's Fruit Stand, we need to find the combination of bags of lemons that adds up to a total of 20. We want to minimize the cost, so we should choose the combination of bags with the lowest cost.

One possible combination is to buy two bags of 12 lemons each, for a total of 24 lemons, and then discard 4 lemons. This would cost $2.10 x 2 = $4.20.

Another possible combination is to buy three bags of 6 lemons each, for a total of 18 lemons, and then buy two individual lemons for a total of 20 lemons. This would cost $0.30 x 3 + $0.30 x 2 = $1.50.

Therefore, the least amount of money needed to purchase exactly 20 standard-sized lemons is $1.50, by buying three bags of 6 lemons each and two individual lemons.

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2 over15−(−1 1 over 10)

Answers

Answer:

The solution is 37/30

Step-by-step explanation:

[tex] \sf \frac{2}{15} - ( - \frac{11}{10} ) \\ \\ = \sf \frac{2}{15} + \frac{11}{10} \: \: \: \: \: \: \\ \\ \\ = \sf \frac{2 + 11}{30} \: \: \: \: \: \: \: \: \: \\ \\ \: \: \: \: = \: \sf \frac{2(2) + 11(3)}{30} \\ \\ = \sf \frac{4 + 33}{30} \: \: \: \: \: \: \: \: \\ \\ = \sf \frac{37}{30} \: or \: 1 \frac{7}{30} \: \: [/tex]

Mallory's Border Collie had 23 puppies in 4 litters. Determine the rate for a ratio of the two different quantities

Answers

Answer:

4/23

Step-by-step explanation:

I Did The Quiz :)

The cellular phone service for a business executive is $35 per month plus $0.40 per minute of phone use over 900 min. For a month in which the executive's cellular phone bill was $104.20, how many minutes did the executive use the phone?

Answers

Answer:1073

Step-by-step explanation: 104.2-35+69.2

69.2/.4=173

900+173+1073

Answer:

The exec used the phone for 1073 minutes

We just cancel out and isolate for x, then add the 900 minutes

Robert plans to make a box-and-whisker plot of the following set of data.

27, 14, 46, 38, 32, 18, 21

Which of the following should Robert's box-and-whisker plot look like?

Answers

Robert's box-and-whisker plot should look like the following: C. box-and-whisker plot C.

What is a box-and-whisker plot?

In Mathematics, a box plot is sometimes referred to as box-and-whisker plot and it can be defined as a type of chart that can be used to graphically or visually represent the five-number summary of a data set with respect to locality, skewness, and spread.

Next, we would sort the observations (data set) from the least to greatest as follows:

14, 18, 21, 27, 32, 38, 46}.

Based on the information provided above, the five-number summary for the given data set include the following:

Minimum = 14

First quartile = 18.

Median = 27.

Third quartile = 38.

Maximum = 46.

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Hey! I need help with these 2 questions! Thanks.

Answers

8. The depth of the water is solved to be = 2.9 cm (one decimal place).

9 The ratio r: s =√3 : 2.

How to find the depth of the water

The  depth of water is calculated by first using Pythagoras theorem to get the level between water level 7 cm and water level when completely full which is 10 cm

= √(10² - 7²)

= √(100 - 49)

= √51

The next step is to subtract from the radius

= 10 - √51

= 2.8586 cm

= 2.9 cm

9. The length of diagonal of a cube is given by the formula

= (√3)·s

The diameter of the sphere is equal to length of diagonal of a cube.

radius of a sphere = diameter / 2

r = (√3)*s / 2

r / s = √3 / 2

hence the ratio is

r : s = √3 : 2

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complete question is attached

A parcel occupies the nw 1/4 of the se 1/4, and the s 1/2 of the sw 1/4 of the ne 1/4. How many acres is this parcel?

Answers

The parcel is 30 acres in size, calculated as 10 acres for the NW 1/4 of the SE 1/4 and 20 acres for the S 1/2 of the SW 1/4 of the NE 1/4.

To solve the problem, we need to know the size of the quarter sections that are being referred to. In the United States, a quarter section is 160 acres.

Using this information, we can break down the given parcel as follows:

NW 1/4 of the SE 1/4: This represents 1/16 of a section, or 10 acres (160 acres / 16 * 1 = 10).

S 1/2 of the SW 1/4 of the NE 1/4: This represents 1/8 of a section, or 20 acres (160 acres / 8 * 1/2 = 20).

To find the total size of the parcel, we simply add these two areas together:

(10 + 20 )acres = 30 acres

Therefore, the parcel is 30 acres in size.

In the United States, a section of land is a unit of area measurement used in land surveys, and it is equal to 640 acres. A quarter section is, therefore, one-fourth of a section, or 160 acres.

The given parcel is described as two parts. The first part is the northwest quarter of the southeast quarter, which is equivalent to one-sixteenth of a section or 10 acres (1/4 x 1/4 x 160 acres = 10 acres).

The second part is the south half of the southwest quarter of the northeast quarter, which is equivalent to one-eighth of a section or 20 acres (1/4 x 1/4 x 1/2 x 160 acres = 20 acres).

To find the total size of the parcel, we add the area of the two parts: 10 acres + 20 acres = 30 acres. Therefore, the parcel is 30 acres in size.

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Geometry

AC bisects ∠BCD, complete the flowchart proof below. Note that the last statement and reason have both been filled in for you.


FlowChart, Please Help Urgent

Answers

Given that AC bisects ∠BCD, the complete flowchart proof is given below:

<ADC = <ABC Reason is given<DCA = <BCA. Reason is AC bisects <BCDAC = AC Reason is their reflexive property.ADC = ABC Reason is the ASA postulate.

What is Geometry?

One of the first areas of mathematics is geometry, along with arithmetic. It is concerned with spatial characteristics like the separation, shape, size, and relative placement of objects.

A geometer is a mathematician who specializes in geometry.

GIven the shape in the image, the flowchart proof has been completed above.

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What value represents the number of ways in which the expected classes are free to vary in the chi-square goodness-of-fit test?Degrees of Freedom.

Answers

Answer The formula df = (c – 1) (r – 1) is used to find the degree of freedom – The degree of freedom of the chi-square test is calculated by the formula df = (c – 1) (r – 1), where c represents the column number of cell and r represents the row number of the cell.

factors other than the independent variable may also act on the dependent variable. if these factors vary systematically with the independent variable, they are called:

Answers

Factors other than independent variables which may act on the dependent variable , when these factors vary systematically with independent variable they are known as confounds variables or extraneous variable.

Factor which is other than the independent variable and might produce an effect in the given experiment.Manipulation of independent variable which has an effect on the expressions dependent variable.Other variables which has impact on changing the dependent variables are known as extraneous variable.Extraneous variables are also known as confounding variables.Confounding variables or extraneous variables these are the factors which does not manipulate and are part of the given experiment.

Therefore, factors which vary systematically with the given independent variable is called  confounds variables or extraneous variable.

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Help,It's due in like 25 minutes! I know that these might be a lot of questions, but I really need help but I'll give you five points for each picture question. So that means I'll give you 25 points.

Answers

Using the table of measurement,  0.4970969  is equivalent to 800 meters

What is unit of measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. To convert a mile measurement to a centimeter measurement, multiply the length by the conversion ratio.

1 inch = 2.54 centimeters

1 foot = 0.3048 meters

1 mile = 1.60 kilometers

Recall that 1 mile is 1609.344 meters

Therefore, the equivalence is 800/1609.344

Therefore 800 meters is equivalent to 0.4970969 miles

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at this point of contact, is the number of field lines per unit of balloon surface area equal to the number of field lines per unit of box surface area?

Answers

a) The electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

b) the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence.

At the point of contact between the spherical balloon and the wall of the cubical box, the electric field magnitude will not be the same on both surfaces. This is because the surface of the balloon is spherical, while the surface of the box is planar. The electric field lines emanating from the charged ball will be spherically symmetric around the ball and perpendicular to the surface of the balloon. However, when the electric field lines intersect with the planar surface of the box, the field lines will be distorted due to the change in direction of the surface. As a result, the electric field magnitude on the balloon surface will be different from the electric field magnitude on the box surface.

At the point of contact, the number of field lines per unit area will also be different for the balloon surface and the box surface. The electric field lines from the charged ball will be distributed uniformly over the surface of the spherical balloon, so the number of field lines per unit area will be constant over the entire surface. However, when the electric field lines intersect with the planar surface of the box, the field lines will be compressed or spread out depending on the angle of incidence. Therefore, the number of field lines per unit area on the box surface will not be the same as the number of field lines per unit area on the balloon surface.

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Question:

A small charged ball is suspended at the center of a spherical balloon that is nestled snugly inside a cubical cardboard box. On one side, the balloon touches the wall of the box. (a) At this point of contact, is the electric field magnitude on the balloon surface equal to the electric field magnitude on the box surface? Assume neither object is polarized. (b) At this point of contact, is the number of field lines per unit of balloon surface area equal to the number of field lines per unit of box surface area?

A particular prism has 10 faces. How many edges does it have

Answers

Answer:

24 edges, on the 10 faced prism

is this true or false? f (n )equals o (g (n ))space a n d space g (n )equals omega (h (n ))space t h e n space f (n )equals theta (h (n ))true false

Answers

The statement "If f(n) = O(g(n)) and g(n) = Ω(h(n)), then f(n) = Θ(h(n))" is actually true.

This can be proven using the formal definitions of the O-notation, Ω-notation, and Θ-notation:

f(n) = O(g(n)) means that there exist positive constants c and n0 such that |f(n)| ≤ c|g(n)| for all n ≥ n0.

g(n) = Ω(h(n)) means that there exist positive constants c' and n0' such that |g(n)| ≥ c'|h(n)| for all n ≥ n0'.

f(n) = Θ(h(n)) means that there exist positive constants c1, c2, and n1 such that c1|h(n)| ≤ |f(n)| ≤ c2|h(n)| for all n ≥ n1.

If we assume that f(n) = O(g(n)) and g(n) = Ω(h(n)), we can use the definitions above to show that f(n) = Θ(h(n)).

Since g(n) = Ω(h(n)), we have |g(n)| ≥ c'|h(n)| for some positive constants c' and n0', and since f(n) = O(g(n)), we have |f(n)| ≤ c|g(n)| for some positive constants c and n0.

Combining these two inequalities, we get:

|f(n)| ≤ c|g(n)| ≤ c(c'/c)|h(n)|

Therefore, f(n) = Θ(h(n)) with constants c1 = 1 and c2 = c(c'/c), and n1 = max(n0, n0').

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what would the shape of the graph b if the speed of the objects decreased from 50m/s at 30s to 30m/s at 40s​

Answers

The shape of the graph b will be linear with an immediate decrease in speed.

What is a position vs time graph?

In Mathematics, a position vs time graph can be defined as a type of graph that is used to graphically represent the distance traveled by an object from its starting position with respect to the time when it is started moving.

Generally speaking, the position or distance traveled by a physical object in a position vs time graph is always plotted on the y-coordinate while time is always plotted on the x-coordinate (x-axis).

In this scenario, the rate of change of the shape's position can be calculated as follows:

Rate of change = (30 - 50)/(40 - 30)

Rate of change = -20/10

Rate of change = -2.

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Rashida measured the length of a beam to be 16 3/4
feet. The actual length of the beam is 17 1/2
feet.

What is the percent error in Rashida's measurement?

Answers

The percent error in Rashida's measurement while measuring the length of the beam is 4.29%.

What is meant by percent error?

The percent error is the distinction between the estimated value and the actual value in relation to the actual value. Percent errors show the magnitude of our measurement errors during an analysis procedure. We are getting close to the accepted or original value when the percent mistakes are smaller. The relative error is multiplied by 100 to get the percent error.

Given,

  The actual length of beam = 17 and 1/2 feet = 17.5 feet

The measured length of beam = 16 and 3/4 feet = 16.75 feet

The formula to find the percent error is as follows:

Percent error = [tex]|\frac{Measured\ value - Actual\ value}{Actual\ value} | * 100[/tex]

                   =  [tex]|\frac{16.75 - 17.5}{17.5} | * 100 =[/tex] 0.75/17.5 * 100 = 4.29%

Therefore the percent error in Rashida's measurement while measuring the length of the beam is 4.29%.

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