Which expression is equivalent to Sqt 200?

Answers

Answer 1

The simplest radical representation of square root of 200 is 10√2.

What is the meaning of √?

The radical symbol used to denote a number's root is "." The square of the positive number is represented by multiplying it by itself. The original number is obtained by taking the square root of the square of a positive number. For instance, the square of 3 is 9, the square root of 9 is 9, and 32 also equals 9.

How to find square root?

e that divides into the initial number or pair should be located.

Add the square to the initial number or pair.

Drop the following pair down.

The square's leading digit should be multiplied by two.

Create the following factor equation.

If we are aware of a number's prime factors, we can write the square root of that number in radical form. Thus, 200 can be factored into its primes as 2 ,2 ,2 ,5 ,5. As a result, 10√2. should be the square root of 200 in the simplest radical form.

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Related Questions

Alex and Lara have $21.00. each to spend at a book fair, where all students receive a 35% discount. They both want to purchase a copy of the same book, which normally sells for $28.50 plus 10% sales tax. To check if he has enough to purchase the book, Alex takes 35% of $28.50 and subtract that amount from the normal price. He takes 10% of the discounted selling price and adds it back to find the purchase amount. Lara takes 65% of the normal purchase price and then computes 110% of the reduced price. Is Alex correct? Is Lara correct? Do they have enough money to purchase the book? explain your answer using complete sentences and show your work.​

Answers

To begin, let's find how much the book is including tax and the student discount.  Once we find this, we can see if Lara or Alex is correct and if they can afford it.

First, we want to compute the student discount. The student discount is 35%. Thus, we can do 0.65 x 28.50 = 18.525. With 10% tax, we have 18.525 x 1.1 = 20.3775. Which will round up to $20.38.

Now, lets see what Alex did and if he got the same answer. First he takes 35% of $28.50 and subtracts it from the normal price.

.35 x 28.50 = 9.975

28.50 - 9.975 = 18.525

Then he takes 10% of this number and adds it back.

.10 x 18.525 = 1.8525

18.525 + 1.8525 = 20.3775

Alex has the correct answer.

Next, we will see if Lara computed it correctly.

First she takes 65% of the normal price.

0.65 x 28.50 = 18.525

Then she computes 110% of the reduced price.

18.525 x 1.10 = 20.3775

Lara also gets the correct answer.

So, do they have enough money to purchase the book?

YES:

$20.38 < $21

Is Alex correct?

YES

Is Lara correct?

YES

Although they used different methods to get the answer, they both got the right one!

This a a lot ok ima help u

. A cartographer creates a map using the function
d = 250n where n is the number of inches on the
map and d is the actual distance between the
locations in miles. If the actual distance between
two cities is 1,125 miles, how far apart on the ma
should the cities be?
(A) 0.5 inches
(B) 1.5 inches
(C) 2.5 inches
(D) 4.5 inches

Answers

To find the distance between two cities on the map, we can use the formula provided in the question:

d = 250n

where d is the actual distance between the cities in miles, and n is the number of inches on the map. Since we are given that the actual distance between the two cities is 1,125 miles, we can substitute this value for d in the formula above to find the number of inches on the map:

1,125 = 250n

Solving for n, we get:

n = 1,125 / 250 = 4.5 inches

This means that the distance between the two cities on the map should be 4.5 inches, so the correct answer is (D) 4.5 inches.


6. Solve 8(12-4x) ≥ 82 and graph the solution set.

Answers

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

The solution set is x ≤ 0.4.

The graph of the solution is

<-----__-1.5__-1__-0.5__0__0.5__1__1.5------>

                      <------------------o

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

8(12 - 4x) ≥ 82

96 - 32x ≥ 82

96 - 82 ≥ 32x

14 ≥ 32x

x ≤ 14/32

x ≤ 7/16

x ≤ 0.4

This can be graphed using a number line.

<-----__-1.5__-1__-0.5__0__0.5__1__1.5------>

                      <------------------o

Thus,

The solution set is x ≤ 0.4.

The graph of the solution is given above.

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Which angle is coterminal with 360°?

Answers

To find the coterminous angles, Add or subtract 360 degrees as many times as needed from the reference angle

Answer:

[tex]\boxed{0}[/tex]

_________________________________________________________

For degrees, coterminal angle formula is: θ ± 360 * n For radians, coterminal angle formula is: θ ± 2π * n In the above formulas, n refers to a multiple of full rotations, which equals to 360 degrees or 2π.

⇒ θ ± 360

⇒  θ ± 2π

⇒ 0 360 degrees or 2π.

Therefore, your answer is 0

_____________________

Hope this helps!

Please mark me brainless!

what is square root of 727878

Answers

Answer:

853.15766421

Step-by-step explanation:

The square root of 727878 would be 853.15766421.

Answer:

= 853.157664

Step-by-step explanation:

√727878 = 853.157664

...

..

.

The formula F = (9/5)C + 32 can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F). What number of degrees Fahrenheit corresponds to 30° Celsius?
Group of answer choices

A) 86

B) 13

C) 62

D) 22

Answers

The required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.

The formula is given in the question following as:

F = (9/5)C + 32 ....(i)

It can be used to convert between degrees Celsius (C) and degrees Fahrenheit (F).

We have to number of degrees Fahrenheit corresponds to 30° Celsius

As per the given question, we have

F = (9/5)C + 32

Substitute the value of C = 30 in the given formula, and solve for F

F = (9/5)(30) + 32

F = (270)/(5) + 32

F = 54 + 32

F = 86

Thus, the required number of degrees is 86° Fahrenheit corresponds to 30° Celsius.

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Answer: the answer is 86

Step-by-step explanation: I have my ways ;>

tim a seventh grade student, is introduced to the concept of lines in basic geometry class. he applies this concept in real life

Answers

The concept of the line with the geometric shapes and the real life examples has been explained

The line is defined as the two dimensional figure that has length, the line do not has width. So we can says that line is the formed by using the set of points together in the straight line. There are different types of lines like straight line, curved line

Using the lines we can form different types of geometric shapes like triangle, rectangle etc. The triangle can be formed by using three straight lines and the rectangle can be formed by using four straight line

The real life example of the lines are, the pen and pencil represents the straight line

Therefore, the concept of straight line has been explained

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Provide an example of each or explain why the request is impossible. (a) Two functions f and g, neither of which is continuous at 0 but such that f(x)g(x) and f(x) + g(x) are continuous at 0. (b) A function f(x) continuous at 0 and g(x) not continuous at 0 such that f(x) + 9(2) is continuous at 0. (c) A function f(2) continuous at 0 and g() not continuous at 0 such that f(x)g(x) is continuous at 0. (d) A function f(x) not continuous at 0 such that f(x) + Fle) is continuous at 0. (e) A function f(x) not continuous at O such that (f (x)]® is continuous at 0

Answers

Answer:

somone in my class is literaly a new York rat

Step-by-step explanation:

a popular online video game can be played on multiple platforms: video game consoles, personal computers, and mobile devices. the game offers 333 gameplay modes: solo, duo, and squad. lee and avery regularly play matches as teammates in duo mode on a video game console. they are curious how their average scores per match compare to other players. they use the game's website to take a large random sample of duo mode players on any platform. the sample has a mean of 585585585 points per match.
Choose 1 answer: a. Only the players in the sample b. Only duo mode players who also play on a video game console c. Players of any mode who play on a video game console d. only Only duo mode players who play on any platform e. Players of any mode on any platform

Answers

Only duo mode players who play on any platform .

The correct answer will be Option D.

Given, Popular online video game .

As they have taken the random sample from the population of duo mode players from any of the three platform, in this regard, 558 points will be the legitimate estimate of the mean from that population only as this sample is a part of that population.

In general, we can say 558 points is the point estimate of the mean of the population that play duo mode in any platform.

Hence option D is correct .

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You bought a car 3 years ago, taking out a $14,000.00 loan at a 5.8% interest rate for 4 years.
Your monthly payments are $327.51.

A. How much will still be owed after making payments for 3 years?

I will still owe ________
after making payments for 3 years.

B. If the car's value is now $7,500.00 then how much equity do you have after making payments for 3
years?

I will have ______ in equity after making payments for 3 years.

Enter the given values.
N: =
0
Number of Compounding Periods
1:%=
0
Annual Interest Rate as a Percent
PV: =
0
Present Value
PMT: = 0
Payment
FV: =
Future Value
P/Y:
Payments per Year
C/Y:
0
12 :
Solve
Solve
12 :
Compounding Periods per Year
PMT: = END Payments are made at the end of the period

Answers

Answer:

To answer these questions, we need to first calculate the total number of payments you have made over the past 3 years. We can do this by multiplying the number of payments per year (12) by the number of years (3). This gives us a total of 36 payments.

Next, we can use a financial calculator or spreadsheet program to solve for the remaining balance on your loan after making 36 payments of $327.51 each. In a financial calculator, we can enter the following values:

N: 36

I: 5.8

PV: -14000

PMT: 327.51

FV: 0

Solving for PV gives us a remaining balance of $4,819.56. Therefore, the answer to part A is $4,819.56.

To find your equity in the car, we can subtract the remaining balance on the loan from the value of the car. In this case, your equity would be $7,500.00 - $4,819.56 = $2,680.44. Therefore, the answer to part B is $2,680.44.

Step-by-step explanation:

Brainliest? :>

El coche de juan viaja 20 m/s y el coche de pedro recorre 150 metros en 5 segundos. Si ambos tienen rapidez constante ¿ cuantas veces es mas rapido el coche de pedro que el coche de juan?

Answers

Therefore , the Pedro's car speed is 2 times the Juan car speed.

Define the speed.

Speed is a measure of how fast something or an individual is moving. It is possible to determine an object's average speed if you are aware of how far it has come and how the time it took to get there. Speed is determined by the formula: speed = distance * time.

Here,

Juan car travels 15 m/s

Where as  Pedro's car travels 150 meters in 5 seconds.

Thus,

Pedro car speed is

=> 150/5

=>30 m/s

thus , pedro car speed is 30 m/s

Therefore , the pedro car speed is 2 times the Juan car speed.

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Which are four types of probability sampling methods?

Answers

The four types of probability sampling methods are

1. Simple random sampling

2. Stratified sampling

3. Systematic sampling

4. Cluster sampling

Probability sampling is a sampling method that involves randomly selecting a sample, or a part of the population that you want to research.

1. Simple Random Sampling: Simple random sampling gathers a random selection from the entire population, where each unit has an equal chance of selection. This is the most common way to select a random sample.

2. Stratified Sampling: Stratified sampling collects a random selection of a sample from within certain strata, or subgroups within the population. Each subgroup is separated from the others on the basis of a common characteristic.

3. Systematic Sampling: Systematic sampling draws a random sample from the target population by selecting units at regular intervals starting from a random point. This method is useful in situations where records of target population already exist.

4. Cluster Sampling: Cluster sampling is the process of dividing the target population into groups, called clusters. A randomly selected subsection of these groups then forms the sample. It usually involves existing groups that are similar to each other in some way

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On January 1, Year 1, the Platte Corporation issues a 5-year note payable for $5,000. The interest rate is 5% and the annual payment of $1,156, due each December 31, includes both interest and principal. Which of the following correctly shows the effect of the issuance of the note on Platte's financial statements?

Answers

The correct effect of the note issuance on Platte's financial statements is A. Cash and Notes Payable increased by $5,000 on the balance sheet and an increase in Financing Activity on the Cash Flows Statement.

What is the journal entry to record the issuance?

The journal entry to record the issuance of the 5-year note payable for $5,000 by Platte Corporation on January 1, Year 1 includes:

Debit to Cash

Credit to Notes Payable.

This entry increases the Cash account, an asset that appears on the balance sheet.

It also increases the Notes Payable, a liability on the balance sheet.

On the Cash Flow Statement, the issuance is a financing activity as cash inflow is increased by the amount.

January 1, Year 1:

Note payable = $5,000

Note period = 5 years

Interest rate = 5%

Annual payment = $1,156

Thus, the note issuance does not affect the Income Statement and will not have an effect on the Equity, but Option A is correct.

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Question Completion:

Answer Options are attached.

A study found that 50 pedestrians gave more money to a street beggar if the beggar had a cute and hungry-looking dog with them compared to if they were alone. The gender of the pedestrians was also noted. Which of the following sentences describes a simple effects analysis on these data? A The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians B The difference in donations when the beggar had a dog compared to not C Using a graph to do a simple inspection of the mean donations from male and female pedestrians when the beggar had a dog or was alone D The relative difference between male donations and female donations when the beggar had a dog compared to not

Answers

The effect on donations, of having a dog compared to not calculated separately for male and female pedestrians is a simple effects analysis on these given data. So the option A is correct.

There are two degrees of gender representation when comparing women and men. Each independent variable in an experiment comparing the effects of a drug to a control group receiving no treatment can have two or more levels.

Street beggars and panhandlers collectively carry a lot of stigma. This study is based on an ethnographic street survey of local panhandlers who are homeless. These frequent exchanges between certain street people and certain.

A simple effect analysis is "The difference in donations between having a dog and not, measured individually for male and female pedestrians."

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et p be prime. determine the number of polynomials of the form x2 ax b which are [15 pts] irreducible over zp.

Answers

We observe that there are p² polynomials of the form x² + ax + b in Zp.

Since there are p choices for each of a and b.

Now a polynomial which is reducible over Zp may be rewritten in the form

(x - c)(x - d)

where c and d are roots.  

So there are p choices if c = d

and if c ≠ d then there are [tex]\frac{p(p-1)}{2}[/tex] choices, the division of 2 eliminates repeated pairs.

Therefore there are p² - ( p + [tex]\frac{p(p-1)}{2}[/tex]) polynomials irreducible over Zp.

A polynomial is said to be irreducible if it cannot be factored into nontrivial polynomials over the same field. The property of irreducibly depends on the field or ring to which the coefficients are considered to belong. Irreducible polynomials appear naturally in polynomial factorization and algebraic field extension.

A polynomial expressible as the product of two or more polynomials of lower degree is known as Reducible polynomial.

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If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80? a. M = 85 and s2 = 9 b. M = 90 and s2 = 9 c. M = 85 and s2 = 18 d. M = 90 and s2 = 18

Answers

If other factors are held constant, which set of sample characteristics is most likely to lead a researcher to reject a null hypothesis stating that µ = 80 then s2 = 18 and C. M = 85

The standard deviation (s2) is a measure of the variability of the sample data, while the mean (M) is a measure of the central tendency. The higher the mean and the higher the standard deviation, the more likely it is that the null hypothesis will be rejected. Therefore, the set of sample characteristics that is most likely to lead to a rejection of the null hypothesis is M = 85 and s2 = 18.

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Jangles Co. earned $1.80 per share. Assuming a closing price of $40, the PE ratio is: (Round to the nearest whole number.)
Multiple Choice
7
22
72
20

Answers

The PE ratio will be equal to $22. The correct option is B.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Jangles Co. earned $1.80 per share. Assuming a closing price of $40. The PE ratio will be calculated as,

Earning per share = $1.80

The price of the share = $40

PE ratio = Price of the share ÷ Earning per share

PE ratio = $40/$1.8-

PE ratio = $22.

Therefore, the PE ratio will be equal to $22. The correct option is B.

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suppose the measurement of the side of a square is found to be 30 cm with an error of cm. use differentials to estimate the propogated error in computing the area of the square.

Answers

The propagated error in computing the area of the square is 6.01 cm

According to the question,

It is given that Length of side of square was found = 30cm

The possible error in measurement = 0.1cm

So, the length will be 30 + 0.1cm or 30 - 0.1cm

As we know that

Area of the square : A = x²

Where x is side of square

The differential of this equation =

=> dA/dx = 2x --------(1)

If dx is the error of the side length of the square

dA = 2(30)(0.1)

=> dA = 6

Therefore , The propagated Error = ΔA = (x + Δx)² - x²

=> (30 + 0.1)² - (30)²

=> 906.01 - 900

=>  6.01

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Let g(x)=x²-1.
(a) Find the average rate of change from 2 to 6.
(b) Find an equation of the secant line containing (-2, g(-2)) and (6, g(6)).

Answers

Answer:

Step-by-step explanation:

To find the average rate of change from 2 to 6, we can use the formula for the average rate of change, which is given by (y2 - y1) / (x2 - x1). In this case, the function we are working with is g(x) = x² - 1, so we need to plug in the values of x1 and x2 into the function to get the corresponding values of y1 and y2.

a) The average rate of change from 2 to 6 is given by:

(g(6) - g(2)) / (6 - 2)

Plugging in the values of x1 and x2 into the function g(x), we get:

(g(6) - g(2)) / (6 - 2) = (6² - 1 - 2² + 1) / (6 - 2) = (35 - 3) / 4 = 32 / 4 = 8

Therefore, the average rate of change from 2 to 6 is 8.

b) To find an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)), we need to first find the slope of the secant line. The slope of the secant line is given by the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points on the secant line.

In this case, the coordinates of the two points on the secant line are (-2, g(-2)) and (6, g(6)). Plugging these values into the formula for the slope, we get:

m = (g(6) - g(-2)) / (6 - (-2)) = (6² - 1 - (-2)² + 1) / (6 + 2) = (35 + 5) / 8 = 40 / 8 = 5

Now that we know the slope of the secant line, we can use the point-slope form of a line to write the equation of the secant line. The point-slope form of a line is given by the formula y - y1 = m(x - x1), where (x1, y1) is a point on the line, m is the slope of the line, and (x, y) are the coordinates of a generic point on the line.

In this case, we know that the point (-2, g(-2)) is on the secant line, and we know that the slope of the secant line is 5. Plugging these values into the point-slope form of a line, we get:

y - g(-2) = 5(x - (-2))

We can then simplify this equation to get:

y - (-2² - 1) = 5(x + 2)

y + 3 = 5x + 10

Finally, we can move all of the terms containing x to one side of the equation and all of the constant terms to the other side of the equation to get the standard form of the equation of the line:

y = 5x + 7

Therefore, an equation of the secant line containing the points (-2, g(-2)) and (6, g(6)) is y = 5x + 7.

based on the results the pharmacist obtained from her hypothesis test and the following results, conclude whether to reject or not reject h0.

Answers

Since, Z(0)>Z(0.1) that is 3.07>1.28. So reject H(0). So the option 1 and 3 is correct.

In the given question,

H(0): μ=18 ; H(a): μ>18

x = 19.1

Conclude whether to reject or not reject H(0), and interpret the results.

σ = 1.6

α  = 0.1 (significance level) .

The test statistic is

Z(0) = {x-μ(0)}/(σ/√n)

Z(0)= (19.1-18)/16/√20

Z(0) = 3.07

The critical value is Z(0.1) = 1.28.

As we can see that;

Z(0)>Z(0.1) that is

3.07>1.28

So reject H(0).

So the option 1 and 3 is correct.

Reject H(0), the test statistic Z(0)=3.07 is Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

And

The test statistic falls within the rejection region.

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The right question is:

Select two responses below.

Select all that apply:

(1) Reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(2) Fail to reject H(0). The test statistic Z(0)=3.07 is greater than the critical value Z(α)=1.28, for a right-tailed test therefore there is NOT enough evidence to reject H(0) that the mean number of likes is not equal to 18 mg per generic anti-histamine dose.

(3) The test statistic falls within the rejection region.

(4) The test statistics is NOT in the rejection region.

which of the following formulas do you think represents the average value of a 3-variable function over a solid region e? group of answer choices

Answers

By dividing the integral of the function over the interval by the length of the interval, the average value of a function can be determined.

The height of the rectangle with an area equal to the area under the curve of the function is the average value of the function or its average height. The equation provides a general definition of it. 1(b−a)∫baf(x)dx.

The average, also known as the arithmetic mean, is calculated by adding a group of numbers and then dividing by their count.

The mean() function in R is used to calculate a vector's mean. The function returns the average as a number after taking a vector as its input.

The general typical equation is numerically communicated as Normal = {Sum of Observations} ÷ {Total number of Observations}.

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for which equation is 0 not a solution x 5 4 6 x 4 4 3 x 0 x 9 9

Answers

On solving the provided question we can say that the answer is third one , that equation is 3 x = 0.

What is quadratic equation?

Any equation that can be written in standard form, with x denoting an unknown value and a, b, and c denoting known integers, is referred to as a quadratic equation in algebra. In general, it is assumed that a > 0; equations with a = 0 are thought to be degenerate since they become linear or even more basic.

Here,

thus ,the given equation :

x - 5 = 4

6 x + 4 = 4

3 x = 0

x + 9 = 9

Thus , the given equation  3 x = 0  have 0 as its solution.

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(x^3+5x^2+7x+2)/(x+2)

Answers

The answer is x^2+3x+1

a one sided confidence interval bounding the high side is desired for the true average stray-load loss (in watts) for a certain induction motor when the line current is held at 10 amps for a speed of 1500 rpm. assume that the stray-load loss population is normally distributed with standard deviation = 2. Compute a one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71. Give your answer accurate to three decimal pointsPlease show steps with out excel or calculators I use tables only

Answers

using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.

The standard normal distribution table is used to calculate the critical value for this problem.

The critical value at 99% confidence level is 2.576.

The formula for the one-sided confidence interval is given by:

Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n))Therefore, the one-sided 99% Confidence Interval for mu when n = 86, and X_Bar =71 is:

Upper Bound = 71 + (2.576 * 2/sqrt(86))

Upper Bound = 71 + (1.41)

Upper Bound = 72.41

The one-sided 99% Confidence Interval for mu when n = 86 and X_Bar =71 is calculated by using the standard normal distribution table to find the critical value of 2.576, and then using the formula Upper Bound = X_Bar + (critical value * standard deviation/sqrt(n)) to calculate the upper bound of the interval. The result is an upper bound of 72.41.

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on a field trip, there are `3` chaperones for every `20` students. there are `92` total people on the trip.

Answers

There are 12 chaperones in total.

In molecular biology, molecular chaperones are proteins that help big proteins or macromolecular protein complexes fold or unfold conformationally. There are different groups of molecular chaperones, all of which have the same purpose: to help big proteins fold properly during or after synthesis as well as following partial denaturation. Protein translocation for proteolysis involves chaperones as well.

The first molecular chaperones to be identified are an assembly-type of chaperones that help nucleosomes form from folded histones and DNA.

Since heat stress increases the propensity for protein aggregation, one of the main roles of molecular chaperones is to prevent the accumulation of misfolded proteins. As a result, many chaperone proteins are categorized as heat shock proteins.

Chaperones and students combined: 3 + 20 = 23

by the number of individuals in total:

92 / 23 = 4

Divide that sum by the proportional number of chaperones:

4 x 3 = 12

There are 12 chaperones in total.

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The slope of a line is -6. The line goes through the point (7.-14). Write the equation of the line in point-slope form.

Answers

Answer:

Step-by-step explanation:

(7, -14)

y - y1 = m(x - x1)

y - (-14) = -6(x - 7) = y + 14 = -6(x - 7)

Standard Form

y + 14 = -6x + 42

y = -6x + 28

Which expression is equivalent to the following complex fraction?
(1 - 1/x)/2

Answers

Equivalent expression is (x-1)/2x for ((1 -1/x)/2), So Option 1 is correct.

If two expressions can be written similarly or can be combined into a single, simpler phrase, then those two expressions are comparable. Additionally, you can tell if two expressions are equal if you substitute values for the variable in both and they get the same result. The numerator and denominator of equivalent fractions can be written by multiplying or dividing them both by the same value.

This is the rationale for why these fractions simplify to the same number. Equivalent ratios are two ratios that have identical values. Divide or multiply both amounts by the same number to arrive at an equivalent ratio. The method is the same as determining equivalent fractions.

Here expression is ((1 -1/x)/2)

take x as lcm then (x-1)/2x

correct option is (A).

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Correct Question:

Which expression is equivalent to the following complex fraction?

(1-1/x)/2

A) x-1/2x

B) -1/2

C) 2x-2/x

D) 2x/x-1

The adjusted R^2: is used primarily to monitor whether extra explanatory variables really belong in a multiple regression model
True False

Answers

True , The adjusted R^2: is used primarily to monitor whether extra explanatory variables really belong in a multiple regression model .

Given :

The adjusted R^2: is used primarily to monitor whether extra explanatory variables really belong in a multiple regression model .

If the regression equation includes anything other than a constant plus the sum of products of constants and variables, the model will not be linear.

Adjusted R^2 is a corrected goodness - of - fit  ( model accuracy ) measure for linear models. It identifies the percentage of variance in the target field that is explained by the input or inputs.

So the above statement is true.

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PLEASE HELP! this is my unit test!!!
Josh had a major growth spurt during middle school. Two years ago, when Josh was 2/3 as tall as he is
now, he was 4½ feet tall. How tall is Josh now?

a. Let h = Josh's current height. What equation can be written to solve for h?

b. Solve the equation, showing your work. Express his current height as a mixed number.

Answers

The fraction of Josh's height which is 2/3 of Josh's current height indicates that the equation that can be used to  find Josh's height and Josh's current height are;

a. (2/3) × h 4 1/2 feet

b. 6 3/4 feet

What is a fraction?

A fraction of an item is a representation of the whole or entire of the item.

Josh's height two years ago = (2/3) × Josh's height now

Hosh's height two years ago = 4 1/2  feet

a. Josh's current height, = h

An equation is mathematical statement that joins two equivalent expressions with an equal to sign.

(2/3) of Josh's current height is equivalent to Josh's initial height of 4 1/2 feet.

The equation that can be written to solve for h is therefore;

(2/3) × h = 4 1/2

b. h = (4 1/2)/(2/3) = (4 1/2) × 3/2

4 1/2 = 9/2

Therefore;

h = 9/2 × 3/2 = 27/4 = 6 3/4

Josh's current height, h = 6 3/4 feet

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Suppose that two high school students decide to see if they get the same results as the researcher.  They both do the puzzle while in the presence of the pleasant floral scent.  The mean of their times is m = 80.2 seconds, the same as that of the researcher.  It is appropriate to conclude which of the following? A) They have reproduced the results of the researcher and their P-value will be the same as that of the researcher.B) They have reproduced the results of the researcher, but their P-value will be slightly smaller than that of the researcher.C) They will reach the same statistical conclusion as the researcher, but their P-value will be slightly different than that of the researcher.D) None of the above

Answers

The mean of their times is x = 80.2 seconds, the same as that of the researcher, after analyzing the given data we conclude that none of the given condition is appropriate.

We can observe that the researcher wishes to put the theories to the test.

H0: = 80.2  = null hypothesis

Ha: > 80.2 = alternative hypothesis.

The population mean is 80.2 and the standard deviation is 4.

He discovered after testing a sample of 1000 students;

The sample size is 1000.

The sample mean is x = 80.2 .

Z value = 0 and p = 1 , hence , the result is not significant .

He can no longer draw any conclusions or provide evidence for this study because there is no population mean for aerobic activity and no significance value in the entire query to compare the p-value with.

As a result, none of the possibilities are correct.

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