The graphs below have the same shape. What is the equation of the graph of
(X)?
(x)
V
A dx) = x²+2
B. (X) = (x + 2)2
c. x) = x-2
D. g(x) = (x - 2)2

The most likely peptide segment to be part of a stable alpha helix at physiological pH would be option 3: pro-leu-thr-pro-trp. So, correct option is 3.

The stability of an alpha helix is influenced by several factors, including the propensity of the amino acid residues to adopt helical conformations and the presence of stabilizing interactions such as hydrogen bonding.

Proline (Pro) is known to disrupt helical structures due to its rigid cyclic structure, which introduces a kink and prevents the proper formation of hydrogen bonds. Option 1, which contains three consecutive glycines (Gly), may also hinder helix stability due to the absence of side chains that can participate in stabilizing interactions.

On the other hand, option 3 contains proline (Pro), leucine (Leu), and threonine (Thr), which have a relatively high propensity to form helices. Additionally, the presence of tryptophan (Trp) at the C-terminal end can contribute to stabilizing hydrophobic interactions within the helix.

While options 4, 5, 6, and 7 contain charged or aromatic residues, they may not provide the same level of stability as the combination of Pro, Leu, Thr, and Trp in option 3.

So, correct option is 3.

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Answer:

Please see the attachment, none of the graphs you showed was correct.

Step-by-step explanation:

Hope it helps :)

The rational numbers which can be written with denominator less than 3 in roster form :  { 1, 2, 3, 4 ,5 ,6 ,7, 8, 9, 10, 11, 12, 13 ...} and set- builder notation : {x : \(\frac{x}{n}\) , where n < 3}

In mathematics, a set can be represented by its elements or its members' required attributes can be described. This is known as set-builder notation.

A set's contents can be expressed by listing each element of the set, each separated by a comma, inside a pair of curly brackets. Roster form refers to this method of describing a set.

All rational numbers can be written with denominator less than 3 because doubling a number and dividing it by 2 gives the number itself and 2 is less than 3.

Roster notation : { 1, 2, 3, 4 ,5 ,6 ,7, 8, 9, 10, 11, 12, 13 ...}

Set- builder notation : {x : \(\frac{x}{n}\) , where n < 3}

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Explanation:

Subtract 9x from both sides to get y < 4-9x and that's the same as y < -9x+4

The inequality sign stays the same. The answer in bold is of the form y < mx+b where m = -9 is the slope and b = 4 is the y intercept. The boundary is y = -9x+4 and this boundary is a dashed line. Shade below the dashed boundary to graph y < -9x+4.

If a data set contains three unique values, none of the given statements must be true.

The mean is the average of a data set, calculated by summing all values and dividing by the number of values. In a data set with three unique values, the mean will not necessarily be equal to the median, which is the middle value when the data set is arranged in ascending or descending order.

The median is the middle value in a data set when arranged in order. With three unique values, the median will not necessarily be equal to the midrange, which is the average of the minimum and maximum values in the data set.

Therefore, none of the statements "mean = median," "median = midrange," or "median = midrange" must hold true for a data set with three unique values.

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Answer:

The area of a rectangle with length 4 cm and width 6 cm is 24 square cm. To find the area of a semi-circle, we use the formula for the area of a circle and divide by 2. The formula for the area of a circle is πr^2, where r is the radius. The radius of the semi-circle is half the width of the rectangle, so r = 6/2 = 3 cm. Thus, the area of the semi-circle is π(3^2) = 9π square cm.

The total area of the figure would be the sum of the area of the rectangle and the semi-circle, so the answer would be 24 + 9π square cm.

The interpolations;

(a) 81st

= NORM.INV(0.81;0;1)

0.878

(b) 19th

=NORM.INV(0.19;0;1)

-0.878

(c) 76th

=NORM.INV(0.76;0;1)

0.706

(d) 24th

=NORM.INV(0.24;0;1)

-0.706

(e) 11th

=NORM.INV(0.11;0;1)

-1.227

Given,

Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is a probability distribution that is symmetric around the mean.

"A numerical measurement used in statistics of a value's relationship to the mean (average) of a set of values, assessed in terms of standard deviations from the mean," according to Wikipedia, is the Z-score.

For this case we can find the percentiles with the Norm.inv function in Excel and we got:

(a) 81st

= NORM.INV(0.81;0;1)

0.878

(b) 19th

=NORM.INV(0.19;0;1)

-0.878

(c) 76th

=NORM.INV(0.76;0;1)

0.706

(d) 24th

=NORM.INV(0.24;0;1)

-0.706

(e) 11th

=NORM.INV(0.11;0;1)

-1.227

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The matrix equation that could show the total books is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

The given parameters are the two-way tables attached to the question.

From the tables, we have the following matrices

\(June = \left[\begin{array}{cc}7&1\\2&6\end{array}\right]\)

\(July = \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

The sum of these matrices is represented as:

June + July =  Total

So, we have:

\(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right]\)

Add the elements at corresponding positions

\(\left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

Hence, the matrix equation is \(\left[\begin{array}{cc}7&1\\2&6\end{array}\right] + \left[\begin{array}{cc}4&3\\6&1\end{array}\right] = \left[\begin{array}{cc}11&4\\8&7\end{array}\right]\)

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Answer:

The answer is YES!!!

Step-by-step

Did on khan

Answer:

2 583/1000

Step-by-step explanation:

Answer

To write 2.58333333333 as a fraction you have to write 2.58333333333 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

2.58333333333 = 2.58333333333/1 = 25.8333333333/10 = 258.333333333/100 = 2583.33333333/1000 = 25833.3333333/10000 = 258333.333333/100000 = 2583333.33333/1000000 = 25833333.3333/10000000 = 258333333.333/100000000 = 2583333333.33/1000000000 = 25833333333.3/10000000000 = 258333333333/100000000000

And finally we have:

2.58333333333 as a fraction equals 258333333333/100000000000

The ordered pairs for the system of equations f(x) = x^2 -2x + 3 and f(x) = -2x + 12 are (3, 6) and (-3, 18)

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is ax2 + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x2 is a non-zero term(a ≠ 0)

f(x) = x^2 -2x +3 and f(x) = -2x + 12

which means

x^2 -2x +3  = -2x + 12

x^2 -2x +3  + 2x - 12 = 0

x^2 -9 = 0

by factorizing we have

(x-3)(x+3) = 0

x = 3 or -3

when x = 3

f(x) = -2x + 12

f(3) = -2(3) + 12 which is 6

when x = -3

f(-3) = -2(-3) + 12 which is 18

ordered pairs are (3, 6) and (-3, 18)

In conclusion, (3, 6) and (-3, 18) are the ordered pairs

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Answer:

There are 192 employees in the company.

Step-by-step explanation:

Let x be the total number of employees

Use ratio and proportion

\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)

x = 192

The following bit vector represents a disk where blocks 1,5,8,11,14 are free, and the rest is allocated is False.

What is Bit-Vector?

Bits are stored in a bit array, which is a type of array data structure. An easy set data structure can be implemented using it. Bit-level parallelism in hardware can be quickly used by a bit array to perform operations.

When files are generated, the system allots space for them by keeping track of the free disk blocks. Additionally, free space management becomes essential in order to utilise the space freed up by deleting the files.

The system keeps track of the disk blocks that are not assigned to any files or directories in a list called free space. Implementing the free space list primarily entails:

A bitmap or bit vector is a sequence or group of bits, where each bit stands for a disk block. The bit has two possible values: 0 and 1: 0 means the block is allocated, and 1 means the block is free.

A bitmap of 16 bits can be used to represent the given instance of disk blocks on the disk in Figure 1 (where green blocks are allocated) as 0000111000000110.

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Answer:

C

Step-by-step explanation:

58-10x≤20+9x

58≤20+19x

38≤19x

2≤x or x≥2

The series to 10 term is

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512

An equation that represents a sequence based on a rule is called a recurrence relation.

Finding the following term, which is dependent upon the prior phrase, is made easier (previous term). We can readily predict the following term in a series if we know the preceding term.

The term is predicted by multiplying the preceding term by 2

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The negative trend pattern exists in the given data.

The Given information is as follows: Month 1 2 3 4 5 6 7

Value 23 15 20 12 18 22 15

To find: What type of pattern exists in the data

The pattern that exists in the given data can be determined by creating a graph between month and value. So, the graph will be as follows: Type of pattern: From the above graph, it is evident that there is a Negative trend pattern in the data. Answer: (d) Negative trend pattern.

Conclusion: Thus, the negative trend pattern exists in the given data.

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Answer:

getting heads when tossing a coin

Step-by-step explanation:

there are only 2 options, heads or tails, and there's an equal chance of getting both.

Answer: A) getting heads when tossing a coin

The graph at the bottom left shows the new function.

Observe that the initial provided graph corresponds to the equation:

\(y = 2x + 1\)

As the line exhibits a slope of 2/1, equivalent to 2, and the y-intercept is situated at the point (0, 1).

Now, if we were to alter the equation by multiplying the existing slope by 1/2, and simultaneously increasing the y-intercept by 3 units, the resulting function would be:

\(y = x + 4\)

This represents a line with a slope of 1 and a y-intercept located at (0, 4).

Take note that the graph depicted in the lower-left section among the available options accurately illustrates such a function.

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Answer:

Step-by-step explanation:

Is there an image to see?

Answer:

m = 1.2

Step-by-step explanation:

12m = 14.4

Divide each side by 12

12m/12 = 14.4/12

m = 1.2

m = 1.2  is the answer

because..

12m = 14.4

Divide each side by 12

12m/12 = 14.4/12

m = 1.2

hope this helped ヾ(•ω•`)oヾ(•ω•`)o

Answer:

$2,750 = $200x + $750

10 cars to meet the goal

Step-by-step explanation:

We will pull details we need to solve out of the question:

     If her goal is to make 2,750 dollars, the money earned must equal at least $2,750.

     If she's already made $750, then we can subtract that from what is needed left to make (or add it to what needs to be made).

     Finally, she makes $200 per car. Let x equal the number of cars she sells.

Next, we will write an equation:

     $2,750 = $200x + $750

Lastly, we will solve this equation.

     $2,750 = $200x + $750

     $2,000 = $200x

     10 = x

           She needs to sell 10 cars to meet her goal.

Answer:

66

Step-by-step explanation:

\(\binom{12}{2}=\frac{12!}{10!21}=\frac{12 \cdot 11}{2}=66\)

The system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 from selling a total of 35 pounds of apples and strawberries.

Suppose the number of pounds of apples and strawberries is x and y respectively.

If the total of 35 pounds of apples and strawberries as a result,

x + y = 35-------(1)

If each pound of apples sells for $2 and each pound of strawberries sells for $3. Aiden made $80 then,

2x + 3y = 80---------(2)

Multiply equation 1 by 2 and subtract from equation 2 as

2x + 3y -2(x+y) = 80 - 2(35)

y = 10

Substitute the value of y we get x = 25

As a result, there are 25 pounds of apples and 10 pounds of strawberries in all.

Thus, the system of equations that could be used to determine the number of pounds of apples sold and the number of pounds of strawberries sold will be x + y = 35 and 2x + 3y = 80.

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Answer 1,173,226,826

Explanation

Take the 3,632,859,678 dollars and subtract it with your 2,459,632,852 dollars and it will come out to 1,173,226,826 dollars

Try this option:

1) the rule 1: if f(x)=u(x)*v(x), then f'(x)=u'(x)*v(x)+u(x)*v'(x), where u(x)=x³, v(x)=ln(cos²x);

2) the rule 2: if f(x)=u(v(x)), then f'(x)=u'(v(x))*v'(x), where u(v(x))=ln(cos²x), v(x)=cos²x;

3) according to the rules above:

f'(x)=(x³)'*ln(cos²x)+x³*(ln(cos²x))';

\(f`(x)=3x^2ln(cos^2x)+x^3*\frac{1}{cos^2x}*(-2sinxcosx)=3x^2ln(cos^2x)-2x^3tanx.\)

Answer: 3x²ln(cos²x)-2x³tanx.

There are two types of elastic forces- compression and tension.Something that is elastic can return to its original shape after being stretched or compressed. tension- The energy is stored until the force is removed and the object springs back to its original shape, doing work in the process

Answer:

1,000,000

Step-by-step explanation:

you just get the Volume of the shape

Answeration:

they are both false