I need help! Ignore the stuff on top and bottom

Answer:

52

Step-by-step explanation:

f(n) is purely based on the previous value of f(n), or f(n-1), so we can start with f(1) and work our way up. We know f(1) = 2, so to find f(2), we plug f(1) into

f(n-1)²+3 to get

f(1)²+3 = 2²+3 = 4+3=7

Thus, f(2) =7. Similarly,

f(3) = f(3-1)²+3 = f(2)² + 3 -= 7² + 3= 52

Answer: m= -1/2

Step-by-step explanation:

m is the gradient of a line. and the formula for gradient is (y2-y1)/(x2-x1)

first, find a point on the line, (-2,1) and that is equal to (x1,y1)

then find another point on the line, (2,-1) and that is equal to (x2,y2)

then substitute your points into the formula above and that is equal to

(-1-1)/(2-(-2))

= -2/4

= -1/2

that is your answer

An "unbiased-statistic" is preferred over "biased-statistic" for estimating population because it provides more accurate estimate of true population parameter.

A "biased-statistic" systematically overestimates or underestimates the population parameter, which leads to incorrect conclusions about the population. Biases can arise in many ways, such as through sampling methods or measurement errors.

Whereas, an "unbiased-statistic" is not systematically too high or too low, but rather it is an estimate that is equal on average to the true population parameter.

The "Unbiased-estimates" have a smaller "sampling-error" and are more accurate and more reliable for making inferences about the population.

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The ground distance, given the map distance and the scale, would be 5 kilometers.

If the scale on a map is 1:25,000, it means that one unit of distance on the map represents 25,000 units of distance on the ground. If the map distance is 20 cm, we can find the ground distance as follows:

Convert the map distance from centimeters to kilometers:

20 cm = 0.2 m = 0. 0002 km

Find the ground distance using the scale:

Ground distance = Map distance / Scale

Ground distance = 0. 0002 km / ( 1 / 25,000 )

Ground distance = 0.0002 km x 25,000

Ground distance = 5 km

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The full question is:

The scale on a map is 1:25,000. Calculate the ground distance if the map distance is 20 cm write your answer in kilometers​

Answer:

The volume is 83.6 cubic inches.

Step-by-step explanation:

We know that the battery is cylindrical, so we can use the formula:

\(\pi r^{2} h\)

We can use 3.14 for \(\pi\), and we know that the radius is 2.2 with a height of 5.5.

Let's set up the equation:

3.14 · 2.2² · 5.5= volume

=83.5868, which rounded to the nearest tenth would equal 83.6.

Hope this helps! :)

z_1 and z_2 are complex number;

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

To calculate z₁z₂ and z₁/z₂, we need to perform the complex number operations on z₁ and z₂. Let's break down the calculations step by step:

i) To find z₁z₂, we multiply the magnitudes and add the angles:

z₁z₂ = 4cos(cos(π/4) + isin(π/4)) * 2cos(2π/3) + isin(2π/3))

= 8cos((cos(π/4) + 2π/3) + isin((π/4) + 2π/3))

= 8cos(7π/12) + isin(7π/12)

ii) To find z₁/z₂, we divide the magnitudes and subtract the angles:

z₁/z₂ = (4cos(cos(π/4) + isin(π/4))) / (2cos(2π/3) + isin(2π/3))

= (4cos((cos(π/4) - 2π/3) + isin((π/4) - 2π/3))) / 2

= 2cos(π/12) + isin(π/12)

i) z₁z₂ = 8(cos(7π/12) + isin(7π/12))

ii) z₁/z₂ = 2(cos(π/12) + isin(π/12))

Please note that the given calculations are based on the provided complex numbers and their angles.

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a = 5 cm

b = 12 cm

c = ?

c = √{ a² + b }

c = √{ 5² + 12² }

c = √{ 25 + 144 }

c = 13 cm

____

Answer:

Step-by-step explanation:

\( \frac{4f^{2} }{3} \div \frac{1}{4f} \)

\( \frac{4 {f}^{2}}{3} (4f)\)

\(4 \frac{4 {f}^{2} }{3} f\)

\( \frac{16 {f}^{2} }{3} f\)

\( \frac{16 {f}^{3} }{3} \)

Answer: 8p+20q-40

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(9p - p + 8q - 40 + 12q\)

Collect like terms and simplify

\(9p - p + 8q + 12q - 40 \\ 8p + 20q - 40\)

Answer: 1 tablespoon

Step-by-step explanation:

The first 3 terms of the sequence are 21, 24 and 29

From the question, we have the following parameters that can be used in our computation:

n² + 20

This means that

f(n) = n² + 20

The first 3 terms of the sequence is when n = 1, 2 and 3

So, we have

f(1) = 1² + 20 = 21

f(2) = 2² + 20 = 24

f(3) = 3² + 20 = 29

Hence, the first 3 terms of the sequence are 21, 24 and 29

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a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

To compute the rate of return on the investment for purchasers of different subscription lengths, we need to calculate the average annual cost of each subscription option.

a) 2-year subscriptions:

The cost of a 2-year subscription is $12.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $12.00 / 2 = $6.00

b) 3-year subscriptions:

The cost of a 3-year subscription is $16.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $16.00 / 3 = $5.33 (rounded to two decimal places)

c) 5-year subscriptions:

The cost of a 5-year subscription is $22.00. To find the average annual cost, we divide the total cost by the number of years:

Average annual cost = $22.00 / 5 = $4.40

Now, to calculate the rate of return on the investment, we need to compare the average annual cost to the regular 1-year subscription rate of $7.50.

a) For 2-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $6.00 / $7.50) * 100% ≈ 20%

b) For 3-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $5.33 / $7.50) * 100% ≈ 29.56%

c) For 5-year subscriptions:

Rate of return = (1 - Average annual cost / 1-year subscription rate) * 100%

Rate of return = (1 - $4.40 / $7.50) * 100% ≈ 41.33%

Therefore, the rate of return on the investment for purchasers of:

a) 2-year subscriptions is approximately 20%.

b) 3-year subscriptions is approximately 29.56%.

c) 5-year subscriptions is approximately 41.33%.

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With help of Pythagoras we find XY=16.3 angle Z=0.0374° Therefore E is best option

Greek philosopher and mathematician Pythagoras flourished between 570 and 495 BCE. His most famous theorem asserts that the square of the length of the hypotenuse, or side opposite the right angle, in a right-angled triangle, is equal to the sum of the squares with the other two sides' lengths.

The Pythagorean theorem is expressed as follows:

c² = a² + b²

where c is the length of the hypotenuse and a and b are the lengths of the other two sides.

We know that angle Z is opposite to side XY and angle X is opposite to side YZ since Y is a straight angle.

The Pythagorean theorem enables us to determine that the length of side XY is

7.6 * tan(64) = 16.3 (rounded to one decimal place).

We can now determine angle Z using the trigonometric ratio of tangent:

Z = Tan(XY/XZ)

tan(Z) = 16.3 / 7.6

Z equals arctan(16.3/7.6)

Z=0.0374 degrees. (rounded to two decimal places)

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The matrices that show the number and type of houses available in Tampa are Matrix with 1 row and 3 columns consisting of elements 24, 12, and 18.

The last Option is Correct.

A matrix is a rectangular table of numbers and variables that are arranged in rows and columns.

From the given information:
City              1-Bedroom 2-Bedroom 3-Bedroom

Orlando        6                    9                     25

Tampa          24                  12                    18

Miami            17                   13                    21

Tampa is located on Matrix with 1 row and 3 columns consisting of elements 24, 12, and 18.

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The number of minutes Ivan ride the scooter is 131

From the question, we have the following parameters that can be used in our computation:

Rate = 11 cents per minute

Initial fee = $3

using the above as a guide, we have the following:

Total = 3 + 0.11x

Where

x = number of minutes

Next, we have

3 + 0.11x = 17.41

So, we have

0.11x = 14.41

Divide

x = 131

Hence, the minutes Ivan ride the scooter is 131

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Answer:

i love uuuuuuuuuuuuuuuuuuuuuuuu

Step-by-step explanation:

Only options I and III are (C)'s correct responses.

I. k-fold cross-validation requires fitting the model k times, whereas LOOCV requires fitting the model n times. Since k > n, k-fold cross-validation is more efficient computationally than LOOCV.

II. k-fold cross-validation has an advantage over LOOCV in bias reduction since each training set is a random sample of the data and tends to reduce bias.

III. LOOCV has an advantage over k-fold cross-validation in variance reduction since LOOCV uses almost all the data to fit the model for each test observation, resulting in lower variance in the test error estimate. In contrast, k-fold cross-validation uses only a subset of the data for each training set, which can lead to higher variance in the test error estimate.

In conclusion, assertions I and III are valid, and the proper response is (C) I and III alone.

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Answer:

Step-by-step explanation:

Alternate angles:When two lines are crossed by another line the pair of angles on opposite sides of the transversal is called alternate angles.  

Theorem 1:If a transversal intersects two Parallel Lines then each pair of alternate interior angles is equal.

Theorem 2 :If a transversal intersects two lines such that a pair alternate interior angle is equal then the two lines are parallel.  

SOLUTION:

Given:  ∠AGE=126°

∠AGE=∠GED=126∘ [alternate interior angles]

 (ii) ∠GED=∠GEF+∠FED=126∘

∠GEF + 90° =126°

(GIVEN that EF⊥CD)  

∠GEF=126°−90°=36°

∠GEF=36°

(iii) ∠CEG+∠GED=180°

(GIVEN ∠GED=126∘)

∠CEG+126° =180°

∠CEG=180° −126°

∠CEG=54°

∠FGE=∠CEG= 54°     (alternate angles)

The equation for the horizontal line passing through (3, -1) is y = -1.

The equation for the vertical line passing through (3, -1) is x = 3.

These equations define the lines with a fixed y-value (horizontal line) and a fixed x-value (vertical line) passing through the given point.

The equations for the horizontal and vertical lines passing through the point (3, -1).

Horizontal Line:

A horizontal line has a constant y-value, meaning that all the points on the line have the same y-coordinate.

In this case, since the line passes through the point (3, -1), the y-coordinate is -1.

Therefore, the equation for the horizontal line passing through (3, -1) can be written as:

y = -1

This equation indicates that for any value of x, the y-coordinate will always be -1, resulting in a horizontal line.

Vertical Line:

A vertical line has a constant x-value, meaning that all the points on the line have the same x-coordinate.

In this case, since the line passes through the point (3, -1), the x-coordinate is 3.

Therefore, the equation for the vertical line passing through (3, -1) can be written as:

x = 3

This equation indicates that for any value of y, the x-coordinate will always be 3, resulting in a vertical line.

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Step-by-step explanation:

darararam ♥️

An expression for which subtracting 5 from an expression would isolate the variable is -9x + 5 = x + 2

Algebraic expressions are described as expressions that consists of coefficients, terms, variables, factors and constants.

These expressions are also known to consist of arithmetic operators, which includes;

From the information given, we have to subtract five from an expression to isolate the variable

Now, let's us the algebraic expression;

-9x + 5 = x + 2

Let's subtract 5 from both sides of the equation, we get;

-9x + 5 - 5 = x + 2 - 5

add and subtract the like terms

-9x + x = -3

-8x = -3

x = 3/8

Hence, the expression is -9x + 5 = x + 2

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Answer:

Ep = weight x height = 5 x 1 = 5N ; 5 x 1.5 = 7.5N; 5 x 2 = 10N

Step-by-step explanation:

Hope that helps

Regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

This problem can be modeled as a game of incomplete information. The Inspector and Owner are players in the game, and each has two possible strategies: either choose container B, or switch to container C. The payoffs for each player depend on the strategy they choose and which container contains the counterfeit goods.

To solve this game, we can use backward induction. We start by considering the final decision point: whether to switch to container C after seeing that container A does not contain the counterfeit goods. Let's consider the two cases:

If the counterfeit goods are in container B, then the Inspector knows that container C also does not have the counterfeit goods. In this case, the payoff for choosing container B is 100 (if they find the counterfeit goods) or -100 (if they do not).

If the counterfeit goods are in container C, then the Inspector knows that container B does not have the counterfeit goods. In this case, the payoff for switching to container C is 100 (if they find the counterfeit goods) or -100 (if they do not).

Since the Inspector does not know which container has the counterfeit goods, they should choose the strategy with the higher expected payoff. To calculate the expected payoffs, we need to consider the probability that the counterfeit goods are in each container. Since the owner chose one container at random, each container has a 1/3 chance of containing the counterfeit goods.

If the Inspector chooses container B, the expected payoff is:

Expected payoff (choose container B) = (1/3) * 100 + (2/3) * (-100) = -33.33

If the Inspector switches to container C, the expected payoff is:

Expected payoff (switch to container C) = (1/3) * 100 + (2/3) * (-100) = -33.33

Therefore, regardless of what the Inspector chooses, their expected payoff is the same (-33.33). This means that the Inspector does not have a better option than choosing container B, and switching to container C does not improve their chances of finding the counterfeit goods.

For the Owner, if the Inspector chooses container B, then the Owner's expected payoff is:

Expected payoff (Inspector chooses container B) = (1/3) * (-100) + (2/3) * 100 = 33.33

If the Inspector switches to container C, then the Owner's expected payoff is:

Expected payoff (Inspector switches to container C) = (1/3) * (-100) + (2/3) * 100 = 33.33

Therefore, regardless of what the Inspector chooses, the Owner's expected payoff is the same (33.33). The Owner does not have a better option than waiting for the Inspector to choose container B.

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The complete paragraph on Pythagorean theorem is shown below:

Let PQ be the hypotenuse of a right triangle that also has a horizontal leg and a vertical leg. The hypotenuse then has length 17, adn a Pythagorean triple can be used to say the shorter leg has length 4 and the longer leg has length 22. If the shorter leg is horizontal, then Q is described by the ordered pair (x, y) = (4, 22). If the shorter leg is vertical is vertical, then Q is described by no ordered pairs.

Given the coordinates of the two end we can determine the length of a line segment by using the Pythagorean theorem in the following form and considering that the coordinates of point Q are integers greater than their counterparts of point P:

17 = √[[x - (-4)]² + (y - 7)²]

[x - (-4)]² + (y - 7)² = 289

(x + 4)² + (y - 7)² = 289

Then, we proceed to graph the circle and we find that the point satisfying the conditions indicated are (x, y) = (4, 22).

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a) The explicit formula for f ο g is f(g(x)) = 10x + 17. b) The explicit formula for g ο f is g(f(x)) = 10x + 22. c) The explicit formula for f ο h is f(h(x)) = 2\(x^{2}\) + 5. d) The explicit formula for h ο f is h(f(x)) = 4\(x^{2}\) + 12x + 10.

To find the explicit formulas for each function composition, we substitute the inner function into the outer function and simplify.

(a) f ο g:

f(g(x)) = f(5x + 7)

= 2(5x + 7) + 3

= 10x + 14 + 3

= 10x + 17

Therefore, the explicit formula for f ο g is f(g(x)) = 10x + 17.

(b) g ο f:

g(f(x)) = g(2x + 3)

= 5(2x + 3) + 7

= 10x + 15 + 7

= 10x + 22

Therefore, the explicit formula for g ο f is g(f(x)) = 10x + 22.

(c) f ο h:

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

= 2(\(x^{2}\) + 1) + 3

= 2\(x^{2}\) + 2 + 3

= 2\(x^{2}\) + 5

Therefore, the explicit formula for f ο h is f(h(x)) = 2\(x^{2}\) + 5.

(d) h ο f:

h(f(x)) = h(2x + 3)

= \((2x+3)^{2}\) + 1

= 4\(x^{2}\) + 12x + 9 + 1

= 4\(x^{2}\) + 12x + 10

Therefore, the explicit formula for h ο f is h(f(x)) = 4\(x^{2}\) + 12x + 10.

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The explicit formulas for the compositions of functions are:

(a) f ο g: 10x + 17

(b) g ο f: 10x + 22

(c) f ο h: 2x^2 + 5

(d) h ο f: 4x^2 + 12x + 10

For the explicit formulas for the compositions of functions, we substitute the inner function into the outer function. Using the provided functions:

(a) f ο g: We substitute g(x) into f(x).

f(g(x)) = 2(g(x)) + 3 = 2(5x + 7) + 3 = 10x + 17

The explicit formula for f ο g is 10x + 17.

(b) g ο f: We substitute f(x) into g(x).

g(f(x)) = 5(f(x)) + 7 = 5(2x + 3) + 7 = 10x + 22

The explicit formula for g ο f is 10x + 22.

(c) f ο h: We substitute h(x) into f(x).

f(h(x)) = 2(h(x)) + 3 = 2(x^2 + 1) + 3 = 2x^2 + 5

The explicit formula for f ο h is 2x^2 + 5.

(d) h ο f: We substitute f(x) into h(x).

h(f(x)) = (f(x))^2 + 1 = (2x + 3)^2 + 1 = 4x^2 + 12x + 10

The explicit formula for h ο f is 4x^2 + 12x + 10.

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