Round 829.9 to the nearest whole number

The chain rule is a formula used in calculus to find the derivative of a composition of functions. It is an important tool for solving problems in many areas of mathematics and science.

The chain rule formula can be stated as follows:

If y = f(g(x)), then the derivative of y with respect to x is given by:

dy/dx = (df/dg) * (dg/dx)

In other words, the derivative of y with respect to x is equal to the derivative of f with respect to g, multiplied by the derivative of g with respect to x.

Here, f and g are functions of x, and y is a function of g. The chain rule formula tells us how to find the derivative of y with respect to x, by taking into account the effect of both f and g on the function y.

The chain rule can be extended to more complex compositions of functions, by applying the formula repeatedly. For example, if y = f(g(h(x))), then the chain rule can be applied twice, as follows:

dy/dx = (df/dg) * (dg/dh) * (dh/dx)

This formula tells us how to find the derivative of y with respect to x, by taking into account the effects of all three functions f, g, and h on the function y.

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Answer:

Step-by-step explanation:

Prime numbers are : 31 , 83 , 71 , 17

31 + 83 + 71 + 17 = 202

Answer:

202

Step-by-step explanation:

Because we are adding prime numbers.

Our prime numbers are 31, 83, 71 and 17 Because prime numbers are numbers that don't have 1 factor regarding 1 so nothing can go into 31,81,71 or 17.

45 does have a factor and that is 9 and 5.

56 has 9 x 5   28 x 2   14 x 4  

So like I said we will now add 31,83,71 and 17

SO 83 + 17=100

100 + 31=131     131 + 71=202 and there is all your answers.

Hope this helps have a awsome day:)

Answer:

072/1000

Step-by-step explanation:

That's the only way I know how to write it, I hope it helps! :3

Answer:

The correct answer would be B) Decomposition

Step-by-step explanation:

Edge Cumulative Exam 2022

The type of reaction is Decomposition reaction.

A decomposition reaction occurs when one reactant breaks down into two or more products. This can be represented by the general equation:

AB → A + B.

Examples of decomposition reactions include the breakdown of hydrogen peroxide to water and oxygen, and the breakdown of water to hydrogen and oxygen.

Given reaction:

\(C_{12}H_{22}O_{11}\) → 12C + 11\(H_{2}O\)

(Sucrose)

Here  \(C_{12}H_{22}O_{11}\) has been decomposed or break into C and 11\(H_{2}O\)molecule.

Hence, the given reaction is decomposition reaction.

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The statement "the coefficient of determination measures the variation in the dependent variable that is explained by the regression model" is true because coefficient of determination, or R-squared, measures the proportion of variance in the dependent variable that is explained by the independent variables in a regression model.

The coefficient of determination, or R-squared, is a statistical measure that evaluates the goodness of fit of a regression model. It quantifies the amount of variance in the dependent variable that can be explained by the independent variables in the model. R-squared ranges from 0 to 1, where a value of 0 means that none of the variation in the dependent variable is explained by the model, while a value of 1 indicates that all the variation is explained.

Therefore, R-squared is useful in assessing the predictive power of a model, and higher values are generally preferred. However, it is important to note that R-squared alone does not guarantee a good model, and other factors such as model assumptions and outliers should also be considered.

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Answer:

3

Step-by-step explanation:

Answer:

11%

Step-by-step explanation:

$9559-$8500=1059

1059/9559= .110786

.110786 x 100= 11.0786%

11.0786%= 11%

At present, Tyrone is 48 years old and his daughter is 24 years old.

Let's start by using variables to represent the ages of Tyrone and his daughter.

Let T be Tyrone's current age and D be his daughter's current age.

We know that Tyrone is twice as old as his daughter, so we can write:

T = 2D

We also know that in 6 years, Tyrone's age will be three times what his daughter's age was six years ago. Six years ago, Tyrone's age was T - 6 and his daughter's age was D - 6. So we can write:

T + 6 = 3(D - 6)

Now we have two equations with two variables, so we can solve for T and D.

First, substitute T = 2D from the first equation into the second equation:

2D + 6 = 3(D - 6)

Simplifying this equation, we get:

2D + 6 = 3D - 18

Add 18 to both sides:

2D + 24 = 3D

Subtract 2D from both sides:

24 = D

So Tyrone's daughter is 24 years old now.

We can use the first equation to find Tyrone's age:

T = 2D = 2(24) = 48

Therefore, Tyrone is 48 years old now.

So at present, Tyrone is 48 years old and his daughter is 24 years old.

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Tyrone is twice as old as his daughter. in 6 years Tyrone's age will be three times what his daughters age was six years ago. how old will they be at present?

The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.

The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.

This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.

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The cash the merchant will receive is $400 - (1% of $400) = $400 - $4 = $396. the net receivables will be $42,000 - $200 - $1,000 = $40,800. This check needs to be subtracted from the company's records as it was not successfully deposited. Therefore, the accounting equation will be affected by an increase in assets and an increase in liabilities.

Question 1: If the merchant offers credit terms of 1/10, n/30 and the customer decides to pay within the discount period, the customer will receive a 1% discount on the $400 item. Therefore, the cash the merchant will receive is $400 - (1% of $400) = $400 - $4 = $396.

Question 2: After writing off the $200 invoice, the net receivables on the year-end balance sheet will be the accounts receivable balance minus the allowance for doubtful accounts. Thus, the net receivables will be $42,000 - $200 - $1,000 = $40,800.

Question 4: The adjustment reflected on a bank reconciliation that would require the company to make a correction in their records is a check for $37 that was deposited during the month but was returned for non-sufficient funds. This check needs to be subtracted from the company's records as it was not successfully deposited.

Question 5: The purchase of inventory on account will increase both assets and liabilities. The inventory is an asset that represents the company's stock of goods, and the accounts payable (liability) represents the amount owed to the supplier for the purchase. Therefore, the accounting equation will be affected by an increase in assets and an increase in liabilities.

Question 3: If a check was written during the month but was not recorded by the company and was paid by the bank, it will show on the bank reconciliation as an increase to the book balance. This is because the check was not initially recorded by the company, but it is a valid transaction recognized by the bank, so it increases the book balance to match the bank balance.

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Answer:

it would just be 6

Step-by-step explanation:

base and lenght are the same thing

A square-based box with an open top and volume of 4,000 cm³ has minimum surface area when its dimensions are 10√2 cm by 10√2 cm by 20√2 cm.

Let's assume that the box has a square base with side length x and height h. Then, its volume is given by:

V = x^2 * h

We are given that the volume is 4,000 cm³, so we can write:

x^2 * h = 4,000

Solving for h, we get:

h = 4000 / x^2

The amount of material used to construct the box is the sum of the areas of its five faces (four sides and the base). Since the box has an open top, we don't need to consider its area. The area of the base is x^2, and the area of each side is x times the height h. Thus, the total surface area A of the box is given by:

A = x^2 + 4xh

Substituting the expression we found for h, we get:

A = x^2 + 4x(4000 / x^2)

Simplifying and factoring out 4, we get:

A = 4(x^2 + 1000/x)

To find the dimensions of the box that minimize the amount of material used, we need to find the value of x that minimizes A. We can do this by taking the derivative of A with respect to x and setting it equal to zero:

dA/dx = 8x - 4000/x^2 = 0

Solving for x, we get:

x = 10√2

Substituting this value back into the expression we found for h, we get:

h = 20√2

Therefore, the dimensions of the box (in cm) that minimize the amount of material used are:

side length of the base: 10√2 cm

height: 20√2 cm

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Answer:

Tallest = Morgan

Shortest = Suzanna

Step-by-step explanation:

Assuming Latisha = 1

0.8 is less than 1, meaning it's 80% the height of Latisha, so this means Suzanna is shorter than Latisha.

1.09 is more than 1, Morgan is taller than Latisha.

Morgan is tallest and Suzanna is shortest, Latisha in the middle.

The inverse of \(f(x) = \sqrt{x - 4}\) is \(f^{-1}(x) = x^{2} +4\) that is option G) is correct

According to the question we have been given the function which is :

                  \(f(x) = \sqrt{x - 4}\)

To find the inverse of this function we will solve this step by step

First we will convert it into equation form

    \(y = \sqrt{x - 4}\)

Then we will interchange the variables x and y

 \(x = \sqrt{y - 4}\)

Then we will solve for y, we get

Taking square on both sides of the equation, we get

\(x^{2} = y - 4\)

\(y = x^{2} + 4\)

Now replacing variable y with \(f^{-1} (x)\) , we get

\(f^{-1}(x)\) = \(x^{2} +4\)

Thus the inverse of \(f(x) = \sqrt{x -4}\) is \(f^{-1} = x^{2} +4\) that is option G) is correct

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Answer:

it makes the goals easier to reach

Step-by-step explanation:

you dont want to say you need 1,000 dollars.. you would want to say you are going to save 5 dollars a week till you reach it.

5 benefits of breaking down ones periodic savings have been listed below.

Breaking down the amount one will need to save on a daily, weekly or monthly basis is simply called budgeting.

Now, budgeting is very important because it helps to do the following;

- Helps to ensure you spend money appropriately on things that you really need and not just wants.

- Helps you to effectively monitor your spending habits/patterns.

- Helps you to meet your financial goals.

- Helps you to make good decisions on things that involve finance.

- Helps you to monitor your progress in savings or interest as the case may be.

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Answer:

56 Primitive feet

Step-by-step explanation:

Answer:

B. 4

Step-by-step explanation:

the sum of two sides of a triangle should be longer than one other side

The differential equation that describes the cell phone sales, where y(t) is the number of cell phones sold after t months is

dy/dt=0.159(1-y/90).

Given that the maximum that the manufacturer can sell is 90000 cell phones and after 27000 cell phones have been sold the sales are increasing by 7000 phones per month.

We are required to form a differential equation that shows the cell phone sales.

dy/dt=ry(1-y/90)-------1

D3=27r(1-27/90)

3=27r(7/10)

r=3*10/27*7

r=0.1583

Using the value of r in 1 to get the equation

dy/dt=0.159y(1-y/90)

Hence the differential equation that describes the cell phone sales, where y(t) is the number of cell phones sold after t months is dy/dt=0.159(1-y/90).

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Answer: A.

x*(2/5) = 10

Solve for x.

B.

y*(1/16) = 5

Solve for y

C.

t*(2/17) = 5

solve for t

Step-by-step explanation:

Answer:

x-19=25 or to solve for x 25+19=x

Step-by-step explanation:

Answer:

False.

Step-by-step explanation:

The statement "(dbl num, 2)" does not correctly represent rounding the value of "dbl num" to two decimal places. The correct notation for rounding a number to two decimal places is typically represented as "round(dbl num, 2)" or "dbl num rounded to 2 decimal places."

:)

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 = 18

Take the square root of each side

sqrt(x^2) = sqrt(18)

x = ± sqrt(18)

x =±sqrt(9*2)

x = ±sqrt(9) sqrt(2)

x = ±3 sqrt(2)

Answer:

139

Step-by-step explanation:

A = Pe^rt

A = 600$

P = 300$

R = 0.005

T = ?

600 = 300e^(0.005)(t)

t = 138.63

Answer:

hope it helps

Step-by-step explanation:

124+23+x=180

x+147=180

x=180-147

x=33

We will solve as follows:

We have the triangles:

*

We can determine its medians by calculating the mid-points of each side, and then plot t

The graph of the function  y=3 -1/2x is attached below.

Function:

Function refers the relationship between inputs where each input is related to exactly one output.

Given,

Here we have the function  y=3 -1/2x.

Now, we have to plot the graph of the function.

In order to plot the graph of the function, we have to take some sample values for x.

So, we will take the values of the x as -2, -1, 0, 1, 2.

Now, we have to apply the values on the given function then we get,

=> x = -2 => y = 3 - 1/2(-2) => y = 3 + 1 => y = 4

=> x = -1 => y = 3 - 1/2(-1) => y = 3 + 1/2 => y = 7/2 = 3.5

=> x = 0 => y = 3 - 1/2(0) => y = 3 - 0 => y = 3

=> x = 1 => y = 3 - 1/2(1) => y = 3 - 1/2 => y = 5/2 = 2.5

=> x = 2 => y = 3 - 1/2(2) => y = 3 - 1 => y = 2

When we enter these values into the table, then we get the table like the following.

By using the table we have to plot the graph and then we get the graph like the following.

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Answer: $2400

Step-by-step explanation:

$2225.50 x 1.2% =  $26.71 + $2225.50 =  $2252.21  - Year 1

$2252.21 x 1.2% = $27.03 + $2252.21 =  $2279.23  - Year 2

$2279.23 x 1.2% = $27.35 + $2279.23 =  $2306.58  - Year 3

$2306.58 x 1.2% = $27.68 + $2334.26 =  $2334.26  - Year 4

$2334.26 x 1.2% = $28.01 + $2362.27 =   $2362.27  - Year 5

$2362.27 x 1.2% = $28.35 + $2362.27 =  $2390.62  - Year 6

$2390.62 x 1.2% = $28.69 + $2390.62 =  $2419.31  - Year 7

$2419.31         x 1.2% = $29.03 + $2419.31 =  $2448.34  - Year 8

Rounded to the nearest 100th = $2400

The Average Velocity (A.V) of car

is 8.33m/s .

This is a Right answer...