graph a line with a y- intercept of -3 and a slope of 4/3

Let's break down the time complexities of each function:

Fibonacci sequence:

The Fibonacci sequence is a recursive sequence where each number is the sum of the two preceding numbers. When calculating the nth Fibonacci number, the recursive approach involves redundant computations, resulting in exponential growth of the number of function calls. As a result, the time complexity of the Fibonacci sequence is O(2^n), indicating exponential growth.

Factorial function:

The factorial function calculates the product of all positive integers up to a given number. When calculating the factorial of n, the function iterates from 1 to n, multiplying each number. Since the number of iterations is directly proportional to n, the time complexity is linear, represented as Θ(n).

Binary search:

Binary search is a searching algorithm used on sorted lists. It repeatedly divides the search space in half, eliminating half of the remaining elements at each step. This process continues until the desired element is found or the search space becomes empty. Binary search has a logarithmic time complexity of Θ(log(n)) since it efficiently reduces the search space by half at each step.

Power function:

The power function calculates the result of raising a base number (m) to a given exponent (n). A naive implementation involves multiplying the base number by itself for n times. However, an optimized approach called exponentiation by squaring reduces the number of multiplications required. By recursively halving the exponent and squaring the base, the time complexity of the power function becomes logarithmic, represented as Θ(log(n)).

In summary, the time complexities are determined by the growth rate of the number of operations required as the input size increases. The Fibonacci sequence has exponential complexity (O(2^n)), factorial has linear complexity (Θ(n)), binary search has logarithmic complexity (Θ(log(n))), and power has logarithmic complexity as well (Θ(log(n))).

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Answer:

Coordinates of point R → (c - a, b)

Step-by-step explanation:

From the picture attached,

By the property of an isosceles trapezoid,

PX = AY = a

Therefore, horizontal distance of Y from the origin PY = AP - AY

PY = c - a

Vertical distance of point R from x-axis (RY) = b

Therefore, coordinates of point R will be (c - a, b).

Answer:

160°

Step-by-step explanation:

Minor Arc NR is equal to the measure of its central angle, S.

S and 20 are supplementary angles, so they add up to 180.

So, s +20 =180

S = 160, so NR = 160 as well

A scatter plot would be the best type of plot to use to show the relationship between the price of Airbnb rentals and the room type.

A scatter plot shows the relationship between two variables by plotting each data point as a dot on the graph. In this case, the room type would be plotted on one axis and the price on the other axis, allowing you to see the distribution of prices for each room type.

By plotting the data in this way, you can see how one variable is related to another, and identify any patterns or trends in the data. This type of plot is particularly useful for exploring the relationship between two continuous variables.

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The correct question for the answer is

which plot would you use to plot prices of airbnb rentals as function of room type?

a) boxplot

b) scatter plot

c) bar plot

d) histogram

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SOLUTION:

Step 1:

In this question, we are given the following:

Step 2:

From the question,

We have that:

The values of each composite function are:

a) -1

b) -1

c) 2

d) 0

e) 2

f) -4

We have,

These are composite functions.

It is written as:

(f o g) (x) = f (g(x))

Now,

From the table, the values for each function f and g at specific values x are taken.

a.

(f o g)(1)

f(g(1)) = f(0) = -1

b.

(f o g) (-1)

f(g(-1)) = f(0) = -1

c.

(g o f) (-1)

g(f(-1)) = g(-2) = 2

d.

(g o f) (0)

g(f(0)) = g(-1) = 0

e.

(g o g) (-2)

g(g(-2)) = g(2) = 2

f.

(f o f) (-1)

f(f(-1)) = f(-2) = -4

Thus,

The values of each composite function are:

-1, -1, 2, 0, 2, and -4.

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Answer:

336.

Step-by-step explanation:

8P3 = 8! / (8 - 3)!

       = 8*7*6*5*4*3*2*1 / 5*4*3*2*1

       = 8*7*6

       = 336

The factors of the polynomial are \(\rm 4(3x^2 + 1)(x-5)\).

Factorization is nothing but writing a number as the product of smaller numbers.

Given

Polynomial;\(\rm 12x^3 - 60x^2 + 4x -20\)

To find the factorization the polynomial equates the equation with zero following all the steps given below.

Then,

The factor of the polynomial is;

\(\rm 12x^3 - 60x^2 + 4x -20\\\\ 12x^3(x-5)+4(x-5)\\\\(12x^3+4)(x-5)\\\\ 4(3x^2 + 1)(x-5)\)

Hence, the factors of the polynomial are \(\rm 4(3x^2 + 1)(x-5)\).

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The mean total repair cost is $100, and the variance of the total repair cost is $1500.

The total repair cost is a random variable that depends on the number of defective machines selected. This is a hypergeometric distribution problem.

In a hypergeometric distribution, the probability mass function is given by:

P(X = k) = [C(K, k) x C(N-K, n-k)] / C(N, n)

Therefore, the mean and variance of X are:

E[X] = n x (K/N) = 5 x (4/10)

= 2

Var [X] = n x (K/N)(1-K/N)[(N-n)/(N-1)]

= 5x (4/10)(1 - 4/10)[(10 - 5)/(10 - 1)]

= 0.6

Since Y = 50X, we can find the mean and variance of Y by multiplying those of X by 50 and 50^2, respectively, because if Y = aX for some constant a, then:

E[Y] = aE[X] and Var[Y] = a ² x Var[X]

Therefore, the mean and variance of the total repair cost are:

E[Y] = 50E[X]

= 50 x 2

=  $100

Var[Y] = 50 ² Var[X]

= 25000 / 6

= $1500

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The missing measurements of the triangle given include:

The value of angle B can be found thanks to the knowledge that the interior angles of a triangle add up to 180 degrees and we have two of the angle measurements :

= 180 - angles measurements

= 180 - 27 - 90

= 63 degrees

The value of AB can be found by using the Sin theta operation such that:

Sin theta = Opposite / hypotenuse

Sin ( 27 degrees ) = 12 / hypotenuse which is AB

hypotenuse = 12 / ( Sin ( 27 degrees ))

= 26 .4 units

The value of AC measurement is:

Tan ( 27 degrees ) = 12 / AC

AC = 12 / Tan ( 27 degrees )

AC = 23. 6 units

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\(\rule{300}{3}\)

\(\text{Hi!}\)

To find the cost per item (or in your case "rolls"), you will first have to divide the cost of the lunch rolls  \((2.50)\)  by the amount of lunch rolls there are \((5)\).

So in this case, it would look like

\( \textbf{$2.50/5} \)\(\text{$2.50 ÷ 5}\)\(\text{$2.50 / 5}\)\(\text{2.50}\) ÷ \(\text{5}\)

\(\text{=$0.50}\)= \(\text{\ 0.50}\)

\(\boxed{\$0.50{}}\)

\(\rule{300}{3}\)

Answer:

C.

Step-by-step explanation:

5 liters divided by 8.

5 divided by 8 = 5/8

Answer: 5/8 liter

x = -1 and y = -13, (-1,-13) is the solution to the system of equation y = 3x - 10 and y = -2x - 15.

Given the system of equation in the question;

To find the solution to the system of equation, replace the occurrence of y in the second equation with y = 3x - 10  and solve for x.

y = -2x - 15

3x - 10 = -2x - 15

Add 10 to both sides

3x - 10 + 10 = -2x - 15 + 10

3x = -2x - 15 + 10

Add 2x to both sides

3x + 2x = -2x + 2x - 15 + 10

3x + 2x = - 15 + 10

Add like terms

5x = -5

x = -5/5

x = -1

Now, to solve for y, replace all occurrence of x with -1 in the first equation and solve for y.

y = 3x - 10

y = 3( -1 ) - 10

y = -3 - 10

y = -13

Therefore, the solution to the system of equation is (-1,-13).

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Answer:

there is no model linked

Step-by-step explanation:

The value of x is equal to 15°

In Mathematics and Geometry, the sum of the exterior angles of both a regular and irregular polygon is always equal to 360 degrees.

Note: The given geometric figure (regular polygon) represents a pentagon and it has 5 sides.

By substituting the given parameters, we have the following:

3x + 4x + 8 + 5x + 5 + 6x - 1 + 5x + 3 = 360°.

3x + 4x + 5x + 6x + 5x + 8 + 5 - 1 + 3 = 360°.

23x + 15 = 360°.

23x = 360 - 15

23x = 345

x = 345/23

x = 15°.

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To determine how many pounds of pecans should be bought for making 7 pecan pies, you need to know the amount of pecans required for each pie.

The amount of pecans needed for each pecan pie depends on the recipe or the desired level of pecan density in the pie. Typically, a pecan pie recipe calls for around 1 to 1.5 cups of pecans. However, this can vary based on personal preference. To calculate the total amount of pecans needed for 7 pecan pies, you can multiply the number of pies (7) by the amount of pecans required for each pie.

Let's assume a conservative estimate of 1 cup of pecans per pie. Multiplying this by 7 pies gives us a total of 7 cups of pecans. However, to determine the weight in pounds, we need to convert cups to pounds. The weight of pecans can vary, but on average, 1 cup of pecans weighs approximately 4.4 ounces or 0.275 pounds. Therefore, to find the total weight of pecans needed, you would multiply the number of cups (7) by the average weight per cup (0.275 pounds). In this case, you should buy approximately 1.925 pounds of pecans for making 7 pecan pies.

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Step-by-step explanation:

Hey there!

Given;

Slope (m) = -3/5

And passes through the point(4,-4).

Now; The equation of a line in slope intercept form is y= mx+b.

So, try to bring it in y= mx+b form.

Firstly let's use one-point formula.

\((y - y1) = m(x - x1)\)

Now, keep all values.

\((y + 4) = \frac{ - 3}{5} (x - 4)\)

Now, simplify to get answer.

\(5(y + 4) = - 3(x - 4)\)

\(5y + 20 = - 3x + 12\)

\(5y = - 3x + 12 - 20\)

\(5y = - 3x - 8\)

\(y = \frac{ - 3}{5} x - \frac{8}{5} \)

Therefore the equation is y = -3/5x - 8/5.

Hope it helps...

The equation of the line parallel to the given line and passing through the point (-4, -6) is: y = -6

The given line goes through the points (-8, 4) and (8, 4).

Since the y-coordinates of both points are the same, the line is horizontal.

The equation of a horizontal line is given in the form y = k,

where k is the y-coordinate of any point on the line.
In this case, the equation of the given line is y = 4.
Now, we want to find the equation of a line that is parallel to the given line and passes through the point (-4, -6).

Since parallel lines have the same slope, and the slope of a horizontal line is 0, the line we're looking for will also be horizontal.

So, its equation will be in the form y = k as well.
The point (-4, -6) lies on this new line, and its y-coordinate is -6.

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Answer:

1/4

Step-by-step explanation:

Five bottles of sunscreen were shared equally among 20 campers. What fraction of a bottle for each camper use?

This question above is calculated as:

Number of bottles of sunscreen/Number of campers

= 5/20

= 1/4

Hence, fraction of a bottle for each camper use is 1/4

Answer:

to find f(x)-g(x)

f(x)-g(x)=(x^2-18x+80)-(x-8)

=x^2-18x+80-x+8

pair like terms

=x^2-18x-x+80+8

=x^2-19x+88

Charge on each sphere is -3.4 × 10⁻⁹ C.

According to Coulomb’s law, the force F between two charged bodies, having charges q1 and q2 and separated by a distance r, is given by

F = (k |q1 q2|) / r² where k is a constant equal to 8.99 × 10^9 N m²/C²

Given:F1 = F2 = 0.0360 N; k = 8.99 × 10^9 N m²/C²; r = 24.3 cm = 0.243 m

Let q be the charge on each sphere.

Because both spheres have equal amounts of charge, the force acting on each sphere is the same.

Hence, F = F1 = F2(q²) = F * r² / (k) = (0.0360 N) * (0.243 m)² / (8.99 × 10^9 N m²/C²)

Charge on each sphere is -3.4 × 10⁻⁹ C.

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The shape of the sampling distribution is attached below

What is standard deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

The mean of the sampling distribution of the sample means is the mean of the population from which the scores were sampled.

The standard error of the mean is the standard deviation of the sampling distribution of the sample mean.

A Z-score indicates the number of standard deviations an element is deviated from the mean.

Using Central limit theorem,

If (n >30) is sufficiently large then the sampling distribution of sample mean follows a normal distribution with mean µx = µ

and standard error

σx = σ / √n

The formula for mean of the sample mean is,

µx = µ

The formula for standard deviation of the sample mean is,

σx = σ / √n

µ = 10.05

σ = 3

n = 64

∴The  value or mean of the sample mean is,

µx = µ

     = 10.05

The standard deviation of the sample mean is,

σx = σ / √n

    = 3 / √64

    = 0.375

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Answer:

Step-by-step explanation:

1. 500

2. 10

3. 25000

The correct answer is A. No, because the rolls are disjoint events.

The fair six-sided dice can land on any number from one to six. If, on the first five rolls, the dice lands once each on the numbers one, two, three, four, and five, it is not more likely to land on six on the sixth roll.

This is because each roll of the dice is a disjoint event, meaning that the outcome of one roll does not affect the outcome of another roll.
The Probability Assignment Rule states that the probabilities of all outcomes in a sample space must add up to one.

However, this rule does not dictate that all outcomes must occur in a specific order or within a specific number of rolls.
Knowing one outcome will not affect the next, as each roll is an independent event.

Therefore, the probability of rolling a six on the sixth roll remains the same as it would for any other roll, which is 1/6 or approximately 16.67%.
Every number on a fair six-sided dice is indeed equally likely to occur, but this does not mean that the dice is more likely to land on a six on the sixth roll after rolling the other numbers once each.
The dice does show randomness, but this randomness does not increase the likelihood of rolling a six on the sixth roll.

Each roll is an independent event and is not affected by the previous rolls.

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I hope that helped.............

-

Answer:

if you want to find the value of X and y here is the answer.

The type of table relationship that best describes the given narrative is the "One-to-many relationship."

This relationship implies that one entity in a table is associated with multiple entities in another table, but each entity in the second table is associated with only one entity in the first table.

In this case, the "Customer" table represents the one side of the relationship, where each customer can have zero, one, or many sales orders. On the other hand, the "Sales order" table represents the many side of the relationship, where each sales order is associated with only one customer. Therefore, for a given customer, there can be multiple sales orders, but each sales order can be linked to only one customer.

It is important to note that the term "many-to-many relationship" is not applicable in this scenario because it states that multiple entities in one table can be associated with multiple entities in another table. However, the narrative explicitly mentions that each sales order is associated with only one customer, ruling out the possibility of a many-to-many relationship. Therefore, the most appropriate description is a one-to-many relationship.

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Answer:

3/4

Step-by-step explanation:

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

P(A ∩ B) = 0, since the events are mutually exclusive.

P(A | B) = 0, since the probability of A given B is 0 when A and B are mutually exclusive.

Since A and B are mutually exclusive, they cannot both occur at the same time. This means that the probability of them both happening at the same time is 0. As a result, P(A ∩ B) = 0.

Since A and B are mutually exclusive, the probability of A occurring given that B has already occurred is 0. This means that P(A | B) = 0.

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