A function f, defined on the set of positive integers, has f(1) = 2 and f(2) = 3. Also f(f(f(n))) = n + 2 if n is even and f(f(f(n))) = n + 4 if n is odd. What is f(777)?

pls answer, I'm really confused

Answer:

Area = 84 square unit

Step-by-step explanation:

Given the triangle is right angle triangle. According to Pythagoras theorem, the largest amount the sides is the hypotenuse. and the others are base and height respectively.

Therefore, hypotenuse = 25, base = 7, height = 24

\(Area \ of \ triangle = \frac{1}{2} \times \ base \times height\)

                        \(= \frac{1}{2} \times 7 \times 24 \\\\= 7 \times 12 \\\\= 84 \ square \ unit\)

Answer:

A = 84 units^ 2

Step-by-step explanation:

The longest side length is also the hypotenuse of this right triangle:  25.  Therefore the leg lengths must be 7 and 24.  The legs are perpendicular to one another.  If we let the base be 7 and the height 24, then the area of the triangle is A = (1/2)(base)(height), or

A = (1/2)(7)(24) = 84 units^ 2

Answer:

\(|x| > 8.7\)

\(x<-8.7\)

or

\(\:x>8.7\)

So B) \(x<-8.7\: or\: x > 8.7\)

The solution set for the inequality |x| > 8.7 is x < -8.7 or x > 8.7

A relationship between two expressions or values that are not equal to each other is called 'inequality.

To solve the inequality |x| > 8.7, we need to consider two cases:

Case 1: x > 0

If x is positive, then the inequality simplifies to:

x > 8.7

So any value of x greater than 8.7 satisfies the inequality.

Case 2: x < 0

If x is negative, then the inequality simplifies to:

-x > 8.7

Multiplying both sides by -1 and flipping the inequality, we get:

x < -8.7

So any value of x less than -8.7 satisfies the inequality.

Therefore, the solution set for the inequality |x| > 8.7 is x < -8.7 or x > 8.7

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Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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The pair of numbers that yields the maximum product when their sum is 24 is (12, 12), and the maximum product is 144. The corresponding quadratic function is P(x) = -x^2 + 24x, and the parabola opens downwards.

To find a pair of numbers whose sum is 24 and whose product is as large as possible, we can use the concept of maximizing a quadratic function.

Let's denote the two numbers as x and y. We know that x + y = 24. We want to maximize the product xy.

To solve this problem, we can rewrite the equation x + y = 24 as y = 24 - x. Now we can express the product xy in terms of a single variable, x:

P(x) = x(24 - x)

This equation represents a quadratic function. To find the maximum value of the product, we need to determine the vertex of the parabola.

The quadratic function can be rewritten as P(x) = -x^2 + 24x. We recognize that the coefficient of x^2 is negative, which means the parabola opens downwards.

To find the vertex of the parabola, we can use the formula x = -b / (2a), where a = -1 and b = 24. Plugging in these values, we get x = -24 / (2 * -1) = 12.

Substituting the value of x into the equation y = 24 - x, we find y = 24 - 12 = 12.

So the pair of numbers that yields the maximum product is (12, 12). The maximum product is obtained by evaluating the quadratic function at the vertex: P(12) = 12(24 - 12) = 12(12) = 144.

Therefore, the maximum product is 144. This quadratic function has a maximum value because the parabola opens downwards.

To graph the function, you can plot several points and connect them to form a parabolic shape. Here is an uploaded image of the graph of the quadratic function: [Image: Parabola Graph]

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Answer:

I think the best is: Year Population 1990 10,350 1995 10,750 2000 11,150 2005 11,500 2010 11,650.

Step-by-step explanation:

It shows the population of each year.

Hope this helps...

Please mark me brainliest ♥️

Answer:

line graph

Step-by-step explanation:

edge 2022

Answer:

B. 0

Step-by-step explanation:

Answer:

correct B) 0

Step-by-step explanation:

e2021

Answer:

x=30

Step-by-step explanation:

-8/5 - 6 = -54

-8x/5 - 6 = -54

-8x/5 −  6 +6 = -54 plus 6

Then Add the numbers and simplify

so then the answer would be x=30

Answer: x=30

Step-by-step explanation:

The solution set for the inequality x - 2 > 5 is x > 7, and it can be graphically represented as an open circle at 7 with an arrow extending to the right.

To solve the inequality x - 2 > 5, we need to isolate the variable x on one side of the inequality sign. Let's solve it step by step:

1. Start with the given inequality: x - 2 > 5.

2. Add 2 to both sides of the inequality to get x alone: x - 2 + 2 > 5 + 2.

3. Simplify both sides: x > 7.

So, the solution to the inequality x - 2 > 5 is x > 7. This means that any value of x that is greater than 7 will satisfy the inequality.

To graph the solution set on a number line, we'll represent the numbers greater than 7 as shaded regions. We'll use an open circle on the number 7 to indicate that it's not included in the solution set.

Then, we'll draw an arrow to the right, indicating that all values greater than 7 are part of the solution.

On the number line, place an open circle at 7 and draw an arrow starting from it towards the right. This represents all the values greater than 7. The solution set is x > 7, which can be represented as an interval (7, ∞) where ∞ denotes infinity.

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The length of unknown side x is 58.

The correct answer is option D.

To find the unknown side length, x, in a right triangle with the base measuring 42 and the perpendicular measuring 40, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

Let x be the hypotenuse. Applying the Pythagorean theorem, we have:

\(x^2 = 42^2 + 40^2\)

Simplifying:

\(x^2\) = 1764 + 1600

\(x^2\)= 3364

Taking the square root of both sides to solve for x:

x = \(\sqrt{3364}\)

Simplifying the square root:

x = (\(\sqrt{4 * 841)}\)

Since 841 is a perfect square (\(29^2\)), we can further simplify:

x = 2 * 29

x = 58

Therefore, the unknown side length, x, is equal to 58.

From the options provided the correct option is D.

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Answer:

17/18

Step-by-step explanation:

To add fractions, you need to have common denominators. (4/9)*(2/2)=8/18.

Now that they have common denominators, you can add 8 and 9 to get 17. So, the answer would be the second one, 17/18.

Answer:

r u just cheating ur way through a whole test lol

Step-by-step explanation:

its B or 17/18

Answer:

A.), C.), D.) are true

Step-by-step explanation:

Use the properties of exponents.

Answer:

Huh?

Step-by-step explanation:

?

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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To find the amount of wet food Luck mixed with the dry food, we can use the fact that he put 5/4 cups into each of the 4 bowls. Therefore, he used a total of 5/4 x 4 = 5 cups of wet food.

Thus, Luck mixed 3 cups of dry food and 5 cups of wet food to prepare the dog's meal.

Answer:

80 meters

Step-by-step explanation:

to find the area multiply length by width

Answer:

What are you asking for?

Step-by-step explanation:

I'll answer again i just need to know more srry lo

The parallel linear equation is:

y = -2x

A general linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

Two lines are parallel only if the lines have the same slope, so first, we want to find a line parallel to 2x +y -7  =0

Let's write that line as follows:

2x + y - 7  = 0

y = -2x + 7

The slope is -2, then the parallel line will be:

y = -2x + b

And we want this to pass trhough the intersection (between the two axes) so we want this to pass through the origin (0, 0).

Thus, the y-intercept is 0.

The line is:

y = -2x

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Therefore , the solution of the given problem of compound sentence's comes out to be { x|–2< x < 5}

Indicated by the conjunction "or," the compound sentence is true as long as either of the two statements is true. In other words, it is the union or combination of the solution sets for each unique assertion. The term "conjunction" refers to a compound inequality that contains the word "and". The words "and" and "or," which are considered to be variables of speech, have a different meaning in mathematics than they do in grammar.

Here,

Given :

=> On the number line

=> -5 to -2

and 5 to infinity .

So,

Both x| x > -2 and x < 5

The following is another method to state this solution set:

{ x|–2< x < 5}

It is assumed that the word "and" will always be used in compound inequality expressions when neither "and" nor "or" is explicitly used. You say, "x is more than  -2 and (reading to the right) x is less than 4," reading from the "x" position as "x|-2" "x," "x," and "x," respectively. This is the solution set's graph.

The Complete Question.

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that equation has to be wrong because it gives me a decimal

Answer:

\(y = \frac{18 - 3x}{ - 6} \)

Step-by-step explanation:

Given,

\(3x - 6y = 18\)

\( - 6y = 18 - 3x\)

\(y = \frac{18 - 3x}{ - 6} \)

This how we can solve for y.

Answer:

>

>

>

Step-by-step explanation:

..

..................................................

Answer:

(a) 5.44 > 5.17

(b) 7.12 > 1.88

(C) 0.8 > 0.01

Step-by-step explanation:

hope this helps.

brainliest please

The simplified form of the expression is \(-32\).

To simplify the expression, we can perform the calculations written below step by step:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\)

We follow the order of operations (PEMDAS/BODMAS):

Step 1: Simplify within parentheses:

\(\(4+6 = 10\)\).

Step 2: Perform multiplications and divisions from left to right:

\(\(-2(10) = -20\) and \(-2(4-1) = -2(3) = -6\)\).

Step 3: Evaluate the remaining additions and subtractions:

\(\(-20 + (-2) \cdot 6 = -20 - 12 = -32\)\).

Therefore, the simplified form of the expression \(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\) is \(-32\).\)

When simplifying an expression, several factors need consideration. First, apply the order of operations correctly, respecting parentheses and exponents. Next, combine like terms by adding or subtracting them. Distribute and simplify within parentheses or brackets as needed. Pay attention to negative signs and ensure their proper placement.

Finally, review the simplified expression to ensure accuracy and validity within the given context.

Note: The complete question is:

\(\(\frac{{-2(4+6)+(-2)6}}{{-2(4-1)}}\)\), calculate the simplified form of this expression.

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Answer:

26

Step-by-step explanation:

We can work backwards using the z-score formula to find the mean. The problem gives us the values for z, x and σ. So, let's substitute these numbers back into the formula:

z−4−16−2626=x−μσ=10−μ4=10−μ=−μ=μ

We can think of this conceptually as well. We know that the z-score is −4, which tells us that x=10 is four standard deviations to the left of the mean, and each standard deviation is 4. So four standard deviations is (−4)(4)=−16 points. So, now we know that 10 is 16 units to the left of the mean. (In other words, the mean is 16 units to the right of x=10.) So the mean is 10+16=26.

Answer:

\(26\) points.

Step-by-step explanation:

Let \(X\) denote a normal random variable with mean \(\mu\) and standard deviation \(\sigma\). (That is: \(X \sim {\rm N}(\mu,\, \sigma)\).) By definition, the \(z\)-score of an observation with value \(X = x\) would be:

\(\begin{aligned} z&= \frac{x - \mu}{\sigma}\end{aligned}\).

In this question, the value of \(\sigma\) is given. Also given are the value of the observation \(x\) and the corresponding \(z\)-score, \(z\!\). Rearrange the \(\! z\)-score definition \(z = (x - \mu) / \sigma\) to find an expression for \(\mu\):

\(\begin{aligned} x - \mu = \sigma\, z\end{aligned}\).

\(-\mu = (-x) + \sigma\, z\).

\(\begin{aligned}\mu = x - \sigma\, z\end{aligned}\).

Substitute in the value of \(x\), \(\sigma\), and \(z\) to find the value of \(\mu\), the mean of this normal random variable:

\(\begin{aligned}\mu &= x - \sigma\, z \\ &= 10 - (-16) \\ &= 26\end{aligned}\).

When the population standard deviation, is unknown, a hypothesis test for the population mean is conducted the same way as if the population standard deviation were known. The t-distribution is used instead of the conventional normal distribution, which is the only distinction (z-distribution).

The mean absolute deviation is 0.75

To calculate the mean absolute deviation (M.A.D.), you need to find the average of the absolute differences between each data point and the mean of the data set

From the information given, we have that the data set is;

8 9 9 7 8 6 9 8

Let's calculate the mean, we get;

Mean = (8 + 9 + 9 + 7 + 8 + 6 + 9 + 8) / 8

Mean = 64 / 8

Divide the values

Mean = 8

Let's determine the absolute difference, we get;

Absolute differences=

|8 - 8| = 0

|9 - 8| = 1

|9 - 8| = 1

|7 - 8| = 1

|8 - 8| = 0

|6 - 8| = 2

|9 - 8| = 1

|8 - 8| = 0

Find the mean of the absolute differences:

Average of absolute differences = (0 + 1 + 1 + 1 + 0 + 2 + 1 + 0) / 8

Absolute difference = 6 / 8 = 0.75

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Answer:

12 + (8k) = 48

k= 9/2

Step-by-step explanation:

Step-by-step explanation:

An arithmetic sequence is a sequence that adds or subtracts the same amount every time, making the answer C. The numbers are increasing by +5 consistently.

Answer:

271

Step-by-step explanation:

Option A is correct that is the results comparing each box size and comparing flashy vs simple graphics.

Given this, a marketing firm tested several package variations, including size, complexity, and simplicity, to determine which would encourage customers to buy more cereal.

Which of the following would be the key conclusions of the study?

We are aware of this since we are comparing various box and graphic sizes.

When contrasting the sizes of each box and the flashy vs. simple images, the influence of the research can be noticed.

The comparison of the sizes of each box and the effectiveness of flashy vs. straightforward images shows that Option A is the best choice.

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Answer:

3rd option

Step-by-step explanation:

One of our exponent rules tells us that \((\frac{x}{y} )^{z}\) =  \(\frac{x^{z} }{y^{z} }\). So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?

We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.

Let me know if you have any questions!