Answer the following questions about the function whose derivative is f′(x)=(x−5)2(x+7) a. What are the critical points of f? b. On what open intervals is f increasing or decreasing? c. At what points, if any, does f assume local maximum and minimum values?

The most reactive element among the options provided is option d. Na (sodium).

the most reactive element, we can consider the periodic trend known as the reactivity trend.

This trend states that reactivity generally increases as you move down Group 1 elements, also known as the alkali metals, in the periodic table.

Sodium (Na) is located in Group 1 of the periodic table, and it is known to be highly reactive. It has one valence electron in its outermost energy level, which it readily donates to other elements.

This makes sodium highly reactive, especially in reactions with non-metals like oxygen (O) or chlorine (Cl).

Comparing sodium (Na) to the other options:

- Lithium (Li) is also a Group 1 element, but it is less reactive than sodium because it has a smaller atomic radius and a stronger attraction between its nucleus and valence electrons.

- Copper (Cu) and zinc (Zn) are transition metals and are less reactive than sodium because they have partially filled d orbitals that shield the valence electrons from outside interactions.

- Silver (Ag) is a noble metal and is the least reactive among the options. It has a completely filled d orbital, making it less likely to participate in chemical reactions.

the sodium (Na) is the most reactive element due to its location in Group 1 and its tendency to readily donate its valence electron in chemical reactions.

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To determine whether x = 2 is a relative minimum, maximum, or neither, we can use the second derivative test. The second derivative of g(x) is given as 6x.

At x = 2, the second derivative is 6(2) = 12, which is greater than 0.

The second derivative test states that if the second derivative is positive at a critical point, then the function has a local minimum at that point.

Since the second derivative is positive at x = 2, we can conclude that x = 2 is a relative minimum of g(x). This means that at x = 2, the function g(x) reaches its lowest point within a small interval around x = 2. It implies that the function is increasing both to the left and right of x = 2, making it a relative minimum.

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Answer:

26.903

Step-by-step explanation:

a = 77 m

b = 72 m

c = Distance between the tugboats = 35 m

Answer:

I think its right , acute and scalene

Step-by-step explanation:

Given that using the letters A and B, the numbers two-letter code words can be formed: AA, AB, BB, BA. We are asked to use the letters A, B, and C to determine the number of different three-letter code words that can be formed.

A code word is a string of characters used to represent a message, where each character is usually represented by a unique symbol.A code word is a set of $3$ distinct elements of since it is three letters long. There are a total of $3$ choices for the first letter, $3$ choices for the second letter, and $3$ choices for the third letter.

We then have $3\times3\times3$ or $27$ possible code words that can be formed using these letters. Thus, the number of different three-letter code words that can be formed using the letters A, B, and C is $27$.

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Answer:

y= 6x - 30

Step-by-step explanation:

First yu would take the 30 dollars you spent then you will subtract 6 times  how many cars you have done.

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable

x  =  11+3y/8

Step-by-step explanation:

Answer:

4(2x + y) = 11 + 7y

1. expand the brackets 8x + 4y = 11 + 7y

2. move +4y to the other side 8x = 11 + 3y

3. move 8 to the other side x= (11 + 3y)/8

Step-by-step explanation:

The statement "Let u and v be vectors in three-dimensional space. If u*v = 0, then u=0 or u=0." is false, and here's why:

When two vectors u and v have a dot product of 0 (u*v = 0), it means that the vectors are orthogonal, or perpendicular, to each other.

The statement incorrectly states that u=0 or u=0 (which seems like a typo, as it should say u=0 or v=0) if the dot product is 0. This is not necessarily true, as the vectors can be non-zero and still be orthogonal to each other. For example, if u = [1, 0, 0] and v = [0, 1, 0], the dot product is 0 (u*v = 0), but neither u nor v is the zero vector.

So, the statement is false because it is not required that one of the vectors (u or v) must be the zero vector if their dot product is 0. They can both be non-zero vectors and still have a dot product of 0 if they are orthogonal to each other.

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There are 23,311,945,600 possible ways to deal the cards to the four players and choose one card to be turned face-up in the middle.

We can calculate the number of ways to deal the cards to the four players and then multiply by the number of ways to choose which card is turned face-up in the middle.

First, there are 24 choose 5 ways to deal the first hand, since each player receives 5 cards. Then, there are 19 choose 5 ways to deal the second hand, since there are now 19 cards left. Similarly, there are 14 choose 5 ways to deal the third hand and 9 choose 5 ways to deal the fourth hand.

So, the number of ways to deal the cards to the four players is:

24 choose 5 * 19 choose 5 * 14 choose 5 * 9 choose 5 = (24! / (5! * 19!)) * (19! / (5! * 14!)) * (14! / (5! * 9!)) * (9! / (5! * 4!))

Now, we need to multiply this result by 4, since there are 4 possible cards to turn face-up in the middle. So, the final answer is:

4 * 24 choose 5 * 19 choose 5 * 14 choose 5 * 9 choose 5 = 4 * (24! / (5! * 19!)) * (19! / (5! * 14!)) * (14! / (5! * 9!)) * (9! / (5! * 4!)) = 4 * 5,827,986,400 = 23,311,945,600.

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The set of all possible output values of a function is called the range. Option c, range, is the correct answer.

To understand this concept, let's break it down step by step:

1. A function is a relationship between inputs (also known as the domain) and outputs (also known as the range).
2. The domain refers to all the possible input values that can be used as input to the function.
3. The range, on the other hand, refers to all the possible output values that the function can produce.
4. For example, let's consider a function that takes the age of a person as input and returns their height. The domain of this function could be all the possible ages, while the range could be all the possible heights that correspond to those ages.
5. It's important to note that the range can vary depending on the function. In some cases, the range may be limited, while in others, it may be infinite.
6. By understanding the range of a function, we can determine all the possible output values that the function can produce.

In summary, the set of all possible output values of a function is known as the range.

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Which term describes the set of all possible output values for a function?

a. output

b. input

c. range

d. domain

It can be deduced that the triangles are similar because the three internal angles are equal for both triangles.

It should be noted that the triangles are similar because the three internal angles are equal.

In this case, the ratio of the corresponding sides are equal and the corresponding angles are congruent.

The width of the river will be:

300/80 = AB/50

AB = (300 × 50)/80

AB = 187.50 feet.

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The total cost before the sales tax was 19.828 pounds.

For a party, Jordan purchased 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad.

We have to determine the total cost before sales tax.

As per the question, we have prices as:

cost of turkey = 3.95 per pound

cost of egg cheese = 1.3 per pound

cost of egg salad = 0.89 per pound

The total cost of turkey = 3.8 × 3.95  = 15.01 pounds

The total cost of cheese = 2.2 × 1.3 = 2.86 pounds

The total cost of egg salad = 2.2 × 0.89 = 1.958 pounds

The total cost before sales tax = 15.01 + 1.958 +2.86

Apply the addition operation, and we get

The total cost before sales tax = 19.828 pounds

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The question seems to be incomplete the correct question would be:

Jordan bought 3.8 pounds of turkey, 2.2 pounds of cheese, and 3.6 pounds of egg salad for a party. If prices are 3.95 per pound turkey, 1.3 per pound cheese and 0.89 per pound egg salad What was the total cost before sales tax?

Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.

From the attached box plot we have,

Box plot always shows,

First Minimum → Lower quartile → Median → Upper quartile → Maximum

The minimum salary for an actuary is equals to

Approximately 35 dollars

And the median salary for a CPA from the box plot is equals to,

Approximately 60 dollars

Here , by comparing the both the values we have,

Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).

The median salary for a CPA is typically higher than the minimum salary for an actuary.

Therefore, Asaad representing median salary makes more money than Amahle .

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The above question is incomplete, the complete question is:

Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?

Box plot is attached.

Answer: 40

Step-by-step explanation: 50x0.8=40

Okay, maybe im wrong? But i dont see how its 4 thats more than half.

Rodger can do 46 pushups.

50 * 0.92 = 46

Edit: To better clarify, 0.92 is from 1.00 - 0.08.  

... 8 percent fewer than 100 percent is 92 percent; 1.00 - 0.08 = 0.92

Keep in mind that:

1.00 = 100%

0.08 = 8%

0.92 = 92%

After finding this you may multiply 50 * 0.92 to get 46.

Answer:

Answer:

Permutation:

In mathematics, a permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements. The word "permutation" also refers to the act or process of changing the linear order of an ordered set.

Formula:

\(nPr=\frac{n!}{(n-r)!}\)

Example:

Permutations are the different ways in which a collection of items can be arranged. For example, the different ways in which the alphabets A, B and C can be grouped, taken all at a time, are ABC, ACB, BCA, CBA, CAB, BAC. Note that ABC and CBA are not the same as the order of arrangement is different.

Combination:

In mathematics, a combination is a selection of items from a collection, such that the order of selection does not matter.

Formula:

\(nCr=\frac{n!}{r!(n-r)!}\)

Example:

Combination: Picking a team of 3 people from a group of 10.

C(10,3) = 10!/(7! * 3!) = 10 * 9 * 8 / (3 * 2 * 1) = 120.

Probability:

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates the impossibility of the event and 1 indicates certainty.

Formula:

Conditional Probability P(A | B) = P(A∩B) / P(B)

Bayes Formula P(A | B) = P(B | A) ⋅ P(A) / P(B)

Example:

Probability is the likelihood or chance of an event occurring. For example, the probability of flipping a coin and its being heads is ½, because there is 1 way of getting a head and the total number of possible outcomes is 2 (a head or tail). We write P(heads) = ½.

~permutation~

Permutation is a term that in mathematics refers to several different meanings in different areas.

Permutation can be permutation with repetition and permutation without repetition.

nPr=

(n−r)!

n!

~Permutation without repetition~

Permutation means to combine the default elements in all possible ways so that each group contains all the default elements.

The number of permutations of a set of n different elements is equal Pn=n×(n-1)×...×2×1=n!

~Permutation with repetition~

If between n given elements there are k1 equals of one kind, k2 equals of another kind,..., ky equals of rth kind, we speak of permutations with repetition.

~combinations without repetition~

In many counting problems, the order of the selected elements is not important.

Each choice of r different elements of an n-member set determines one of its subsets that has r elements, we call it a combination of r-th class without repetition of n elements.

nCr=

r!(n−r)!

n!

~combinations with repetition~

Repetition combinations are combinations in which elements can be repeated.

~Variations without repetition~

A variation of the r-th class in an n-membered set is each ordered r-torque of different elements.

(We can determine this number using the principle of consecutive counting).

~Variations with repetition~

If the elements in ordered r-tuples can be repeated we are talking about variations with repetition.

(We can determine this number using the principle of consecutive counting).

Answer:

3 3/4 tins of food

Step-by-step explanation:

Number of cats = 3

Quantity of food for each cat per day = 1/4 of a tin

Total tins of cat food sue bought = 4 tins

Has Sue bought enough cat food to feed her cats for 5 days?

Quantity of food 3 cats eat per day = Quantity of food for each cat per day × Number of cats

= 1/4 × 3

= 3/4 of a tin

Total Quantity of food 3 cats eat for 5 days = Quantity of food 3 cats eat per day × 5 days

= 3/4 × 5

= (3 * 5) / 4

= 15/4

= 3 3/4 tins of food

Total Quantity of food 3 cats eat for 5 days = 3 3/4 tins of food

Recall,

Total tins of cat food sue bought = 4 tins

Therefore, Sue bought enough cat food to feed her cats for 5 days

Algorithms should be executed in a reasonable time because when an algorithm takes too long to execute, the user may lose interest, and it may not be useful for real-time applications.

As a result, the algorithm's performance should be as good as possible so that the user does not have to wait a long time to get the answer. Additionally, as the number of data sets grows, an algorithm's execution time grows exponentially, making it more difficult to process more significant data sets.

The goal of an algorithm is to accomplish a specific task. When an algorithm can perform a task quickly and efficiently, it is considered successful. The performance of an algorithm can be measured in terms of its execution time, also known as runtime. The runtime is the time it takes for an algorithm to complete its task from start to finish.

A reasonable time for an algorithm is critical since it decides the algorithm's effectiveness in achieving its goal. In general, algorithms must be effective and accurate, but they must also be quick and efficient. If an algorithm does not execute efficiently, it may be useless to the user because it may not be able to process large data sets quickly or in real time.

Algorithms must be executed in a reasonable time to ensure the algorithm's effectiveness and user satisfaction.

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Answer:

dagdagan mo hoy daya

Step-by-step explanation:

1733

Answer:

x = 13

I hope that is what your looking for, my explanation will make no sense to you because it's so messy. So sorry no explanation

Answer:

x=13

Step-by-step explanation:

jhjsjdbdjdjndjdidbd

Answer:

Yes the ordered pair is a solution

Step-by-step explanation:

plug on the numbers

2< 2(-1) +8

2 < 6

4(2) > -4(-1)-6

8> 4-6

8> -2

Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

A problem-solving strategy known as the unitary technique is determining the worth of one unit of such a quantity and utilising that value to determine the value of an other number of units related to that quantity. For issues where the price of one unit is given and the value of some other quantity is needed, it is a proportionality strategy. The unitary method's fundamental principle is to establish a ratio between two numbers, where one of the numbers is represented in the form of one unit while the other quantity is defined in terms of a greater number of units.

given

If Davey doesn't add any more money to his retirement account for the next 20 years, it will increase to:

\(FV = P * (1 + r)^n\)

where FV is the lump sum's future value

P is the lump sum's present value, which in this example is $214,111.26.

R is the annual interest rate, which in this case is 9.35%.

n = the number of cycles (in this case, 20 years)

The following equation can be used to determine Davey's retirement account's potential value after 40 years:

\(FV = 214,111.26 * (1 + 0.0935)^20 = $1,476,289.64\)

Hence, after 40 years, Davey will have $1,476,289.64 in his retirement account as n = the number of cycles.

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The value of ║5p-3q║=180°.

It is given that line l₁ & l₂ are parallel and l₂ & l₃ are transversal then

they must follow the property that the alternate exterior angles must be equal i.e. ∠ q = 135°.

Also ∠ p + ∠ q = 180°.

Therefore, ∠ p = 45°.

Now to solve ║5p-3q║, substituting the values of p & q in the given equation

║5*45 - 3*135║ = 180°.

Hence, ║5p-3q║=180°.

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Answer:

The two at the left are parallel.

Answer:

No, because each output of altitude has more than one input of time. ... No, because the altitude is constant between 60 minutes and 130 minutes

Step-by-step explanation:

look at the graph

Answer: C

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

nth term = 7+(n-1)4

Step-by-step explanation:

The solution to the equation 2n + 5 = 6( n² - 5 ) is n = ( 1 - √(211 )) / 6 and n = ( 1 + √(211 )) / 6

Given the quadratic equation in the question;

2n + 5 = 6( n² - 5 )

First we simplify the given equation;

2n + 5 = 6( n² - 5 )

2n + 5 = 6n² - 30

6n² - 2n - 5 - 30 = 0

6n² - 2n - 35 = 0

To solve for n, we use the quadratic formula.

n = (-b±√(b² - 4ac)) / (2a)

Compare 6n² - 2n - 35 = 0 to the quadratic equation in its standard form an² + bn + c = 0.

Plug the values into the quadratic formula

n = (-b±√(b² - 4ac)) / (2a)

n = ( -(-2) ±√( (-2)² - 4 × 6 × -35 )) / (2 × 6 ))

n = ( 2 ±√( 4 + 840 )) / ( 12 )

n = ( 2 ±√( 844 )) / ( 12 )

n = ( 2 ±2√(211 )) / ( 12 )

n = ( 1 ± √(211 )) / 6

n = ( 1 - √(211 )) / 6 or n = ( 1 + √(211 )) / 6

Therefore, the values of n are ( 1 - √(211 )) / 6 and ( 1 + √(211 )) / 6.

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Answer:

2 : 1

Step-by-step explanation:

Supplementary angles are two angles whose measures add up to 180°

If one of the angle = 120°

The other angle = sum of supplementary angle - one of the angle

= 180° - 120°

= 60°

The other angle = 60°

ratio of pair of supplementary aangle = 120° : 60°

= 120° / 60°

= 2/1

= 2 : 1

ratio of pair of supplementary aangle = 2 : 1

The slope of the line y = 5x + 4 is 5.

Slope i.e. m = 5.

Given, a line of equation

y = 5x + 4

We have to find the slope of the given line,

Now, as we know the slope-intercept form of a line i.e.

y = mx + c

where, m is the slope of the line and c is the y-intercept of the line.

So, using the same form in the line, we get

y = 5x + 4

the slope of the line is 5.

Hence, the slope of the line y = 5x + 4 is 5.

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