Since there are 20 standard amino acids, the number of possible linear polypeptides of length n can be expressed as [tex]20^n[/tex].
What are Amino acids?Amino acids may be defined as compounds that significantly contain carbon, hydrogen, oxygen, and nitrogen. These compounds serve as the monomers or the building blocks of proteins that are composed of an amino group, a carboxyl group, a hydrogen atom, and a specific side chain.
Two amino acids are held together by a linkage known as peptide linkage. When a number of peptide linkages are present in the structure of the protein, it is known as polypeptides.
If any polypeptide chain is derived from 20 amino acids. So, the possibility of a combination for any polypeptide chain will be [tex]20^n[/tex], where n = the number of amino acid residues in the polypeptide chain.
Therefore, since there are 20 standard amino acids, the number of possible linear polypeptides of length n can be expressed as [tex]20^n[/tex].
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which of the following is a solution set to 4|x+3|
. Which is equivalent to a drink made with 3 ounces of 80-proof vodka?
What does information meanins
how many more kilometers in 4320 than 7200
two different ways to find the value of the expression 5.4 * 1.17 * 100 that do not require you to First multiply 5.4 X 1.17
Solve formula please
c=PI*d
divide both sides by PI to get d by itself
d = c/PI
some hot dogs come in packages of 8.Why would a baker of hot dog buns packages 7 hot dog buns to a package
Identify the expressions and the value that are equivalent to 6 times 5 squared.
The value that is equivalent to 6 times 5 squared is 150.
What is an expression?In mathematics, an expression is a combination of numbers, variables, and mathematical operations (such as addition, subtraction, multiplication, division, and exponentiation) that represents a mathematical relationship or a quantity.
Expressions in mathematics can be evaluated or simplified to produce a single value or to represent a more simplified form of the original expression.
6 times 5 squared can be written in a few different ways:
6 x 5²
6 x 25
150
So the expressions that are equivalent to 6 times 5 squared are:
6 x 5²
6 x 25
The value that is equivalent to 6 times 5 squared is 150.
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63 POINTS!!!!!
Please help fast 1.4t-0.4(t-3.1)=5.8
t= what
describe a situation in which a formula could be used more easily if it were rearranged. Include the formula in your description.
is -8 a solution of -9f=64-f
what is the answer to 72-(-58)-62
The answer to [tex]72 - (-58) - 62[/tex] is 68.
Understanding Double Negatives: When we subtract a negative number, it is equivalent to adding that number. Therefore, [tex]-(-58)[/tex] becomes [tex]+58[/tex].
So, the expression can be rewritten as:
[tex]72 + 58 - 62[/tex]
Performing the Addition: Now we add [tex]72[/tex] and [tex]58[/tex]:
[tex]72 + 58 = 130[/tex]
Performing the Final Subtraction: Next, we subtract [tex]62[/tex] from [tex]130[/tex]:
[tex]130 - 62 = 68[/tex]
Therefore, the final answer is [tex]68[/tex].
Find the next three terms in the patter 9, 4, -1, -6, -11....then describe the pattern
The figure illustrates the apparatus for a tightrope walker. Two poles are set y = 50 feet apart, but the point of attachment P for the rope is yet to be determined. (a) Express the length L of the rope as a function of the distance x from P to the ground.
Equation for the length L of the rope as a function of the distance x from P to the ground is,
⇒ L = √((x-2)²+50²)
Since L is to the second pole, not x, we can't simply say that;
⇒ x² + y²= L² using the Pythagorean Theorem.
Since, due to that we simply increase the original height by 2, decreasing x by 2.
We can, however, say that ;
⇒ (x-2)² + y² = L²
Plugging 50 as y in, we get ;
⇒ (x-2)² + 50² = L².
Square rooting both sides, we get;
⇒ L = √((x-2)²+50²)
Thus, Equation for the length L of the rope as a function of the distance x from P to the ground is,
⇒ L = √((x-2)²+50²)
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highest common factor of 92 and 42
The Greates Common Factor (GCF) is: 2
You can always share this solution
A homeowner plans to hang wallpaper on one wall of a bedroom that is 10 feet long
Object a has less thermal energy than object b but heat flows from object a to object begat conditions make this possible
how many gallons of 80% antifreeze solution must be mixed with 100 gallons of 10% antifreeze to get a mixture that is 70% antifreeze? use the six step method
To get a mixture that is 70% antifreeze, you would need 600 gallons of 80% antifreeze solution mixed with 100 gallons of 10% antifreeze solution.
Explanation:To solve this problem, we will use the six step method. Let's assign variables to our unknown quantities:
Let x be the number of gallons of 80% antifreeze solution.Now we can set up the equation using the information given:
0.8x + 0.1(100) = 0.7(100 + x)Simplifying the equation:
0.8x + 10 = 70 + 0.7x0.8x - 0.7x = 70 - 100.1x = 60x = 600Therefore, you would need 600 gallons of the 80% antifreeze solution to mix with 100 gallons of the 10% antifreeze solution to get a mixture that is 70% antifreeze.
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if f(x)=4-x^2 and g(x)=6x, which expression is equivalent to (g-f)(3)?
To find (g-f)(3), evaluate g(3) and f(3), then subtract f(3) from g(3).
Explanation:To find (g-f)(3), we need to subtract the function f(x) from g(x) and then evaluate the result at x = 3. Let's first simplify the expressions for f(x) and g(x):
f(x) = 4 - x^2
g(x) = 6x
Now substitute these into (g-f)(3) and simplify:
(g-f)(3) = g(3) - f(3)
= 6(3) - (4 - 3^2)
= 18 - (4 - 9)
= 18 - (-5)
= 23
Therefore, (g-f)(3) is equivalent to 23.
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How do I solve this equation? I need a refresher on Algebra.
For football tryouts at the local school 12 coaches and 42 players will split into groups each group will have the same number of coaches and players what is the greatest number of groups that can play that can be formed how many coaches and players will be in each of these group
in a mayoral election Jane received 213 more votes than Jack. If Jack received N votes how many votes did Jane receive?
The number n(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. initially, n(0) = 500, and it is observed that n(1) = 1000. solve for n(t) if it is predicted that the limiting number of people in the community who will see the advertisement is 50,000. (round all coefficients to four decimal places.)
Rounding the coefficients to four decimal places:
[tex]\[ n(t) = 50000 \times \left(1 - e^{-20.2020t + 0.0101}\right) \][/tex]
The logistic equation governing the number of people exposed to the advertisement in the community is given by:
[tex]\[ \frac{{dn}}{{dt}} = kn \left(1 - \frac{n}{M}\right) \][/tex]
Where:
n(t) is the number of people exposed to the advertisement at time t
k is the growth rate constant
M is the limiting number of people who will see the advertisement
Given:
[tex]\( n(0) = 500 \)[/tex]
[tex]\( n(1) = 1000 \)[/tex]
[tex]\( M = 50000 \)[/tex]
We first need to find the growth rate constant \( k \):
[tex]\[ 1000 = 500 \times \left(1 - \frac{500}{50000}\right) \times k \][/tex]
[tex]\[ 1000 = 500 \times \left(1 - \frac{1}{100}\right) \times k \][/tex]
[tex]\[ 1000 = 500 \times \frac{99}{100} \times k \][/tex]
[tex]\[ k = \frac{1000 \times 100}{500 \times 99} \][/tex]
[tex]\[ k = \frac{2000}{99} \][/tex]
Now, we integrate to find [tex]\( n(t) \)[/tex]:
[tex]\[ \int \frac{{dn}}{{n(1 - \frac{n}{50000})}} = \int \frac{{2000}}{{99}} dt \][/tex]
[tex]\[ -\ln|1 - \frac{n}{50000}| = \frac{{2000}}{{99}}t + C \][/tex]
Using the initial condition [tex]\( n(0) = 500 \)[/tex], we find[tex]\( C \)[/tex]:
[tex]\[ -\ln|1 - \frac{500}{50000}| = 0 + C \][/tex]
[tex]\[ -\ln\left(\frac{99}{100}\right) = C \][/tex]
So, the equation becomes:
[tex]\[ -\ln|1 - \frac{n}{50000}| = \frac{{2000}}{{99}}t - \ln\left(\frac{99}{100}\right) \][/tex]
Solving for n(t) :
[tex]\[ |1 - \frac{n}{50000}| = e^{-\frac{{2000}}{{99}}t + \ln\left(\frac{99}{100}\right)} \][/tex]
[tex]\[ 1 - \frac{n}{50000} = e^{-\frac{{2000}}{{99}}t + \ln\left(\frac{99}{100}\right)} \][/tex]
[tex]\[ \frac{n}{50000} = 1 - e^{-\frac{{2000}}{{99}}t + \ln\left(\frac{99}{100}\right)} \][/tex]
[tex]\[ n(t) = 50000 \times \left(1 - e^{-\frac{{2000}}{{99}}t + \ln\left(\frac{99}{100}\right)}\right) \][/tex]
This is the solution for [tex]\( n(t) \)[/tex]. Now, rounding the coefficients to four decimal places:
[tex]\[ n(t) = 50000 \times \left(1 - e^{-20.2020t + 0.0101}\right) \][/tex]
what is -2/3 - (1 1/3)
Find the distance between the points on a number line -7, -54
since they are both negative numbers just subtract 7 from 54
54-7 = 47
The graph of f(x) = log x + 3 is the graph of
g(x) = log x translated 3 units a)up b)down c)left D) right
Answer:
A)up
Step-by-step explanation:
Given : f(x)=log x +3
g(x)= log x
To Find :
The graph of f(x) = log x + 3 is the graph of g(x) = log x translated 3 units
a)up
b)down
c)left
d) right
Solution:
Rule: f(x)→f(x)+b
So, the graph f(x) is translated up by b units
So, on comparing given f(x) with rule , we can say that the graph g(x) is translated up by 3 units
Thus option A is correct.
Hence The graph of f(x) = log x + 3 is the graph of g(x) = log x translated 3 units up
Is the line y = 3x – 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer. Intro Done Go Left Go Right Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 Frame 2 10 of 10
Answer:
the answer is 6.
Step-by-step explanation:
on edge i got my question wrong and the answer was 6 <33.
If decking cost $5.75 per square feet, how much would it cost to build a deck that is 22 feet by 18.5 feet
It would cost $2338.75 to build a deck that is 22 feet by 18.5 feet at a rate of $5.75 per square foot.
To calculate the cost of building a deck, we need to find the total area of the deck and then multiply it by the cost per square foot.
The area of a rectangle (deck) is given by the formula:
Area = length * width
Given that the deck has a length of 22 feet and a width of 18.5 feet, we can calculate the total area:
Area = 22 feet * 18.5 feet
Area = 407 square feet
Now, to find the total cost of building the deck, we multiply the area by the cost per square foot:
Total cost = Area * Cost per square foot
Total cost = 407 square feet * $5.75/square foot
Total cost = $2338.75
So, it would cost $2338.75 to build a deck that is 22 feet by 18.5 feet at a rate of $5.75 per square foot.
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Jane is having difficulty deciding whether to put her savings in the Mystic Bank or in the Four Rivers Bank. Mystic offers a 12% rate compounded quarterly, and Four Rivers offers 14% compounded semiannually. Jane has $40,000 to invest and expects to withdraw the money at the end of five years. Using the tables in the Business Math Handbook that accompanies the course textbook, determine which one of the following is the best deal.
A. Four Rivers
B. Mystic
C. Mystic for last two years
D. Four Rivers for first two years
1.5x - 3y = 6 (solve for y)
An equation is formed of two equal expressions. The value of y for the given equation is (1.5x - 6)/3.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
1.5x - 3y = 6
Subtract 1.5x from both the sides of the equation,
1.5x - 3y - 1.5x = 6 - 1.5x
-3y = 6 - 1.5x
Divide both the sides of the equation by -3,
-3y/(-3) = (6 - 1.5x)/(-3)
y = (1.5x - 6)/3
Hence, the value of y for the given equation is (1.5x - 6)/3.
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