Simplify
[-2(g + 2h) - 4g21 - [-g(5 - 2g) + h]

Given

Find

derivatives using increment method.

Explanation

Given

replace x and y by

so ,

now divide by

so ,

now taking limit

Final Answer

Therefore , the derivative of the function using increment method is 12x + 10

The equilibrium constant (Kc) for the reaction ni₂⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.

The given reaction is:

Ni₂+ + 6NH₃ ⇌ [Ni(NH₃)₆]²⁺

The equilibrium constant (Kc) for this reaction can be obtained by the formula given below

[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆

The equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is given as

[Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆

Thus, the equilibrium constant (Kc) for the reaction ni²⁺ + 6nh₃ is [Ni(NH₃)₆]²⁺ / [Ni²⁺][NH₃]₆.

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6 + 2 2 = 2 ( 3 + 11 )

60 + 25 = 5 ( 12 + 5 )

For the entire independent-measures experiment 24 individuals are participated.

Different participants are utilized in each condition of the independent variable in an experimental design known as an independent measures design, or between-groups. This indicates that a different group of participants is present for each condition of the experiment. A research strategy known as an independent measures design uses numerous experimental groups with subjects only being assigned to one group. Throughout the experiment, each participant is solely exposed to one independent variable condition. A drug trial for a novel medicine would serve as an example. This has the benefit of preventing order effects, which occur when participants behave differently as a result of the order in which conditions are done, often as a result of factors like boredom or exhaustion.

We are given the value  t(22) = 5.30, p < .01

So here degree of freedom (df) is 22 and it is independent so there is two samples,

so df= n₁+n₂-2

⇒ 22 =  n₁+n₂-2

⇒ n₁+n₂ = 24.

Thus for the entire experiment 24 individuals are participated.

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The given information describes a function, denoted as h(t), which models the height of a raspberry bush. The function relates the height, measured in feet, to the number of weeks since its planting.

The function h(t) represents the height of the raspberry bush at a specific time t, measured in weeks. The variable t serves as the independent variable, representing the number of weeks since the bush was planted. The function h(t) provides the corresponding height of the bush at that given time.

To fully understand the properties and behavior of the function h(t), additional information is required. This could include the specific form or equation of the function, any coefficients or parameters involved, and any additional conditions or constraints that may be present.

With this additional information, one could analyze the function to determine its specific properties, such as the growth rate, maximum height, growth pattern, or any other relevant characteristics. However, without the specific details of the function, it is not possible to provide further analysis or explanation.

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Answer:

\(3-[-(-1)]=2\)

Step-by-step explanation:

\(3-(-(-1))=3-1\\\)

\(3-1=2\)

\(=2\) ← Our Solution

Hope this helps!

First you will get 4dz

John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Let's start by setting up the equations to solve for this problem.

Let x be the amount of money John had initially.

Then, Mary had (384 - x) initially.

After John gave Php 36 to Mary, John had (x - 36) left and Mary had (384 - x + 36) = (420 - x).

We are told that Mary had three times as much money as John after this transaction, so we can write:

3(x - 36) = 420 - x

Simplifying this equation gives:

3x - 108 = 420 - x

4x = 528

x = 132

Therefore, John initially had Php 132 and Mary initially had Php 252 (384 - 132).

Answer: Mary had Php 252 at first.

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The 95% confidence interval for the difference between the population means (u₁ - u₂) is (approximately) -0.73 to 0.53.

To construct the confidence interval, we can use the formula:

CI = (x₁ - x₂) ± t * √[(s₁²/n₁) + (s₂²/n₂)]

Given the sample statistics:

n₁ = 11, n₂ = 18

x₁ = 4.8, x₂ = 5.2

s₁ = 0.76, s₂ = 0.51

Degrees of freedom:

df = n₁ + n₂ - 2 = 11 + 18 - 2 = 27

Critical value (t) for a 95% confidence interval:

From a t-table or statistical software, the critical value for a 95% confidence level with df = 27 is approximately 2.052.

Standard error:

SE = √[(s₁²/n₁) + (s₂²/n₂)]

SE = √[(0.76²/11) + (0.51²/18)]

SE ≈ 0.301

Confidence interval:

CI = (x₁ - x₂) ± t * SE

CI = (4.8 - 5.2) ± 2.052 * 0.301

CI = -0.4 ± 0.617

CI ≈ (-0.73, 0.53)

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Answer:

c) 29

Step-by-step explanation:

Answer:

156oz

Step-by-step explanation:

Hope this help and have wonderful day!!!

Answer: The odds of drawing a King or a heart are P(E)/P(E') = (4/13)/(9/13) = 4/9. What is the probability of getting at least one black card in a 7-card hand off a shuffled 52-card deck

Step-by-step explanation:

Step-by-step explanation:

first number=x

second number=x+2

third number=x+4

(x+2)(x+4)=35

x(x+4)+2(x+4)=35

x²+4x+2x+8=35

x²+6x+8=35

x²+6x=35-8

x²+6x=33

x²+6x-33=0

using that, you can find the first number,

then use the data to find the other two.

Answer:

3 seats

Step-by-step explanation:

3 seat between them

Answer:

yeah the answer is one of those just pick one

Answer: x= 0, y = 4

Step-by-step explanation:

5x+2y=8

X+y=4 -> y=4-x

5x + 2(4-x)=8 -> 5x + 8-2x=8 -> 3x=0 -> x=0

y=4-x=4-0=4

Answer:

Given a function f , the set x values (inputs) is the domain of f , and the set y values ( outputs ) is the range of f . The domain of a function f is all of the values for which the function is defined. For instance, 1x is not defined when x=0 . Also, √x is not defined when x is negative.

Step-by-step explanation:

Answer:

option A.

Step-by-step explanation:

if the blue dots represent the function it's domain will be the values of x for which a blue dot is raised.

The "points" have coordinates:

Now, the abscissa, I.e., the x coordinate of a point represents its domain, while the ordinate, I. e., the y coordinate represents its range.

Therefore,

Domain:

{0, -6, 2, 4, 7}

Range:

{4, 1, -5, 3}

That is, option A!

Answer:

{(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

Step-by-step explanation:

In a function, all x-coordinates must be different.

{(7, 2), (100, 10), (13, –7), (7, 9), (10, 100), (4, –2), (5, 5)}

7 appears twice as an x-coordinate. Not a function.

{(1000, 10), (1000, 12), (1000, 16), (100, 5), (100, 7), (78, 3), (90, 5)}

1000 appears 3 times as an x-coordinate. Not a function.

{(6, 3), (5, 2), (4, 1), (3, 0), (4, –1), (5 ,–2), (6 ,–3)}

4 appears twice as an x-coordinate. Not a function.

{(12, 3), (11, 2), (10, 1), (9, 0), (8, 1), (7, 2), (6, 3)}

All x-coordinates are different. Function.

I believe that the answer you are looking for is -8>k, or k<-8.

Solution/Explanation:

First, writing out the inequality,

-5(k+4) > 2-(3k+6)

Next, using the Distributive Property on both sides,

-5k-20 > 2-3k-6

Simplifying the right side just a little bit more,

-5k-20 > -3k-4

Adding 5k to both sides,

-5k+5k-20 > -3k+5k-4

-20 > 2k-4

Now, adding 4 to both sides,

-20+4 > 2k-4+4

-16 > 2k

Finally, dividing 2 from both sides,

So, therefore, the final answer is -8>k, or k<-8.

I hope this helped answer your question. Enjoy your day, and take care!      

The system of linear equations which has the rank of coefficient matrix equal to augmented matrix and equal to the number of unknowns, has only one solution called the unique solution.

Two types of system of equations exist- consistent and inconsistent.

Inconsistent means that it has no solution , i.e. the solution does not exist , here

Rank of augmented matrix is not equal to that of coefficient matrix.

Consistent system means a solution of the equation exists i.e.

rank of augmented matrix = rank of coefficient matrix.

Now, a consistent system can be of two types again - It may have a unique solution ,i.e.

rank of augmented matrix = rank of coefficient matrix = no. of unknowns

or an infinite number of solutions, where

rank of augmented matrix = rank of coefficient matrix < no. of unknowns   (here we need to assign an arbitrary value to a free variable to find its solutions).

For e.g. let us consider the system -

x + y+ z = 0

2x + 3y + 4z = 1

Since , (0,0,0) is obviously satisfying the equation and so is a solution to this system , the given system is a consistent system .

Also, for a system to be consistent , either a unique solution exists or an infinite number of solutions exist. There is no particular number of solutions.

Here, we see that (-1,1,0) is also a solution other than the zero solution.

We can clearly see that the number of unknown variables , x,y,z is 3 and the number of equations is 2.

Thus, The system if there are fewer equations than variables has infinite solutions, equal number of equations as the unknowns has the unique solution.

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-14 is the value of the expression b - 3a at a =6 and b = 4.

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation.

Given an expression b - 3a

For this expression given,

a = 6 and b = 4

Thus the value of expression at given values

=> b - 3a

=> 4 - 3 * 6

=>4 - 18

=> -14

Therefore, the value of the expression b - 3a at a =6 and b = 4 is -14.

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The ending dollar balance in inventory, using the FIFO method, is $973.

The cost of each sold unit must be tracked according to the sequence of the unit's purchase if we are to use the FIFO (First-In, First-Out) approach to calculate the ending dollar balance in inventory.

Let's begin by utilizing the FIFO approach to get COGS or the cost of goods sold. In order to attain the total number of units sold, we first sell the units from the earliest purchase (First Purchase) before moving on to the units from the second purchase (Second Purchase).

First Purchase:

Number of Units: 130

Cost per unit: $3.1

Second Purchase:

Number of Units: 451

Cost per unit: $3.5

We compute the cost based on the cost per unit from the First Purchase until we reach the total amount sold to estimate the cost of goods sold (COGS) for the 303 units sold:

Units sold from First Purchase: 130 units

COGS from First Purchase: 130 units × $3.1 = $403

Units remaining to be sold: 303 - 130 = 173 units

Units sold from Second Purchase: 173 units

COGS from Second Purchase: 173 units × $3.5 = $605.5

Total COGS = COGS from First Purchase + COGS from Second Purchase

Total COGS = $403 + $605.5 = $1,008.5

To calculate the ending dollar balance in inventory, we need to subtract the COGS from the total cost of inventory.

Total cost of inventory = (Quantity of First Purchase × Cost per unit) + (Quantity of Second Purchase × Cost per unit)

Total cost of inventory = (130 units × $3.1) + (451 units × $3.5)

Total cost of inventory = $403 + $1,578.5 = $1,981.5

Ending dollar balance in inventory = Total cost of inventory - COGS

Ending dollar balance in inventory = $1,981.5 - $1,008.5 = $973

Therefore, the ending dollar balance in inventory, using the FIFO method, is $973.

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The value of the infinite series as n tends to 0 is: 0

Infinite series is defined as the sum of infinitely many numbers related in a given way and listed in a given order. Infinite series are important in mathematics and in such disciplines as physics, chemistry, biology, and engineering.

From the infinite series, we want to find the value of the series as n tends to 0.

We are given the series as:

x/2ˣ

At x = 0, we have:

0/2⁰ = 0/1 = 0

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Drawn from a standard deck of cards there are 27885 ways in which 4 diamonds can be drawn.

The process of placing each element of a set in the same sequence or order is known as permutation in mathematics. In other words, permuting is the act of rearranging the elements of a set if it is currently ordered. Almost all academic disciplines employ permutations by mathematicians.

They frequently appear when various orderings on a particular finite set is taken into account. Contrary to permutations, the order of selection is irrelevant when choosing components from a collection that employed the combination method.

there are 52 cards in a standard deck

There are 13 diamonds in the deck

Number of ways 4 diamonds can be drawn is = 13C4

Number of ways the 5th card can be drawn from the remaining cards of the deck = 39C1

Total number of ways in which 5 cards can be drawn is

= 13C4 × 39C1

= 27885

Hence the cards can be drawn in 278885 ways.

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The approximate value of the maximized profit include the following: D. 1100.

In Economics, profit can be defined as a measure of the amount of money (revenue) that is generated when the selling price is deducted from the cost price of a good or service, which is usually provided by producers.

Mathematically, the profit function P(x) of a company simply refers to the revenue function R(x) minus the cost function C(x):

P(x) = R(x) - C(x)

Where:

Based on the graph of the company's weekly profit, (y), we can logically deduce that its maximized profit would occur at point (40, 1100) because this is the vertex of profit function P(x).

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Answer:

1/2 is the slope of a line with equation y.

There are 123,480 ways for Alex to choose his selection.

To determine the number of ways Alex can choose his selection, we need to use the multiplication principle of counting.

The number of ways to choose 4 shirts from 10 is given by the number of combinations of 10 items taken 4 at a time:

10C4 = (10!)/(4!(10-4)!) = 210

Similarly, the number of ways to choose 2 pairs of jeans from 7 is given by the number of combinations of 7 items taken 2 at a time:

7C2 = (7!)/(2!(7-2)!) = 21

Finally, the number of ways to choose 6 pairs of socks from 8 is given by the number of combinations of 8 items taken 6 at a time:

8C6 = (8!)/(6!(8-6)!) = 28

To obtain the total number of ways for Alex to choose his selection, we need to multiply these three quantities together:

210 × 21 × 28 = 123,480

Therefore, there are 123,480 ways for Alex to choose his selection.

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The amount of money in Iris's checking account can be modeled by a linear function of the form:

y = mt + b

where y is the amount of money in the account, t is the time (measured in years), m is the rate of interest, and b is the initial amount in the account.

In this case, we have m = 0.04 (since the interest rate is 4% per year) and b = 180 (since that's the initial amount in the account). Therefore, the linear function that models the amount of money in Iris's checking account at any time t is:

y = 0.04t + 180

For example, if t = 5 (years), then the amount of money in Iris's checking account is 0.04 * 5 + 180 = 198 dollars.

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

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