which two parent trigonometric functions have a period of π and a range that consists of the set of all real numbers? (select all that apply.)
a. sine
b. cosine
c. tangent
d. cosecant
e. secant
f. cotangent

Answer:

[tex] \sf \: x = 20[/tex]

Step-by-step explanation:

Given equation,

→ x - 18 = 2

Now the value of x will be,

→ x - 18 = 2

→ x = 2 + 18

→ [ x = 20 ]

Hence, the value of x is 20.

The algorithm design technique best describes Dijkstra's SSSP algorithm is (c) Greedy.

Dijkstra's Single Source Shortest Path (SSSP) algorithm is considered a greedy algorithm because it makes locally optimal choices at each step in order to find the globally optimal solution. The algorithm starts from the source vertex and maintains a priority queue of vertices, where the priority of a vertex is determined by the length of the shortest path from the source to that vertex.

At each step, the algorithm chooses the vertex with the smallest priority, updates the distances of its neighbors, and adds them to the priority queue. This process continues until all vertices have been processed or a target vertex has been found. The algorithm always makes the choice that appears to be the best at the moment, with the goal of finding the shortest path from the source to all vertices.

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42 red blood cells are needed to make a line 1 inch long

The diameter of a red blood cell is 6 x [tex]10^{-6}[/tex] m,

so we need to determine how many cells can fit in a

line 1 inch long (2.54 x[tex]10^{-5}[/tex] m).

Dividing the length by the diameter gives the number of cells:

2.54 x [tex]10^{-5}[/tex] m / 6 x [tex]10^{-6}[/tex] m = 42.33.

So, approximately 42 red blood cells are needed to make a line 1 inch long.

This highlights the small size of red blood cells and the remarkable ability of the human body to produce and maintain billions of these cells for proper blood circulation and oxygen delivery.

Red blood cells, also known as erythrocytes, are one of the main types of blood cells. They are biconcave discs with a diameter of about 7.5 micrometers, and their primary function is to transport oxygen from the lungs to the tissues and carbon dioxide from the tissues to the lungs.

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The histogram with the narrow peak would be expected to contain more consistent numbers.

This is because the width of a histogram reflects the variability of the data that it represents. A histogram with a wide spread indicates that the data values are spread out and vary greatly, while a histogram with a narrow peak indicates that the data values are relatively consistent and cluster close together.

In a histogram with a widespread, the difference between the highest and lowest data values is large, indicating that the values are inconsistent and vary widely. On the other hand, in a histogram with a narrow peak, the difference between the highest and lowest data values is small, indicating that the values are more consistent and cluster closely together.

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The independent variable is the number of 5-minute breaks, and the dependent variable is fatigue.

The cause is the independent variable. Its value is unaffected by the other study variables.

Effect is the dependent variable. Changes in the independent variable affect its value.

The independent variable is a variable in an experimental design that is manipulated or changed by the researcher to observe its effect on the dependent variable. It is also referred to as the "predictor variable" or the "explanatory variable". In the research scenario described, the independent variable is the number of 5-minute breaks (ten or zero) that are assigned to the participants.

The dependent variable is a variable in an experimental design that is being studied and measured to determine its relationship with the independent variable. It is also referred to as the "outcome variable" or the "response variable". In the research scenario described, the dependent variable is fatigue, as Ivan wants to study the impact of the number of 5-minute breaks on fatigue and will measure fatigue levels by using a questionnaire.

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The independent variable is the number of 5-minute breaks, and the dependent variable is fatigue.

The cause is the independent variable. Its value is unaffected by the other study variables.

Effect is the dependent variable. Changes in the independent variable affect its value.

The independent variable is a variable in an experimental design that is manipulated or changed by the researcher to observe its effect on the dependent variable. It is also referred to as the "predictor variable" or the "explanatory variable". In the research scenario described, the independent variable is the number of 5-minute breaks (ten or zero) that are assigned to the participants.

The dependent variable is a variable in an experimental design that is being studied and measured to determine its relationship with the independent variable. It is also referred to as the "outcome variable" or the "response variable". In the research scenario described, the dependent variable is fatigue, as Ivan wants to study the impact of the number of 5-minute breaks on fatigue and will measure fatigue levels by using a questionnaire.

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The relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

The concept used in this problem is relative frequency, which is a measure of the number of times an event occurs in a data set, expressed as a fraction of the total number of events.

The relative frequency is a useful tool for summarizing and understanding the distribution of data, and provides a way to compare the relative frequencies of different events in a data set.

To create a relative frequency distribution in Excel, you would first create a table with the four meal options (chicken, fish, steak, and vegetarian) and count the number of times each option was selected. The relative frequency is calculated as the count of each meal option divided by the total number of responses (20 in this case).

Here is the frequency distribution as :

Meal Option → Frequency → Relative Frequency

Chicken → 6 → 0.3 (6/20)

Fish → 2 → 0.1 (2/20)

Steak → 2→ 0.1 (2/20)

Vegetarian →  10 → 0.5 (10/20)

Thus, the relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

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The relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

The concept used in this problem is relative frequency, which is a measure of the number of times an event occurs in a data set, expressed as a fraction of the total number of events.

The relative frequency is a useful tool for summarizing and understanding the distribution of data and provides a way to compare the relative frequencies of different events in a data set.

To create a relative frequency distribution in Excel, you would first create a table with the four meal options (chicken, fish, steak, and vegetarian) and count the number of times each option was selected. The relative frequency is calculated as the count of each meal option divided by the total number of responses (20 in this case).

Here is the frequency distribution as :

Meal Option → Frequency → Relative Frequency

Chicken → 6 → 0.3 (6/20)

Fish → 2 → 0.1 (2/20)

Steak → 2→ 0.1 (2/20)

Vegetarian →  10 → 0.5 (10/20)

Thus, the relative frequency of responders who chose the vegetarian meal is 0.5, or 50%.

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The required center of the circle is at (7, -3) and the radius of the circle is 5.

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Given the equation of the circle:
(x-7)² + (y+3)² = 25

Compare the equation with the standard equation
Center of the circle
(-h, -k) = (-(-7), -(3))
(-h, -k) = (7, -3)

Radius,
r² = 25
r = 5

Thus, the required center of the circle is at (7, -3) and the radius of the circle is 5.

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Assuming the solid Fe is pure iron, the atomic mass of iron is 55.845 g/mol. This means that in one cubic centimeter of iron there are 6.02 x 10²² atoms of Fe.

Solid iron has a density of 7.87 g/cm³. This means that in one cubic centimeter of iron, there are 6.02 x 10²² atoms of iron. This is calculated by taking the atomic mass of iron (55.845 g/mol) and dividing it by the density of iron (7.87 g/cm³). This gives us the number of atoms of iron in one cubic centimeter of iron, which is 6.02 x 10²² atoms.

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Answer:A function f(x) is even if f(-x) = f(x). The function is odd if f(-x) = -f(x). An even function has reflection symmetry about the y-axis. An odd function has rotational symmetry about the origin.

Step-by-step explanation:

The function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).This has been obtained using even-odd functions.

What are even-odd functions?

When the output value of a real-valued function, f(x), is equal to f(x), for all values of x inside the domain of f, the function is said to be an even function.

It is claimed that a real-valued function f(x) is an odd function when, for all values of x in the domain of f, the output value of f(-x) is equal to the negative of f(x).

We have an even function if we have an expression that is equivalent to f(x) and we have an odd function if we obtain an expression that is equivalent to -f(x).

If we take a function and substitute x for -x, simplify the result, and then compare it to what you started with, you can "determine algebraically" if the function is even, odd, or neither.

The function is even if you come out with exactly what you started with (i.e., if f (-x) = f (x), in which case all of the signs are the same. If you come out with exactly the opposite of what you started with (i.e., if f(-x) = -f (x), in which case all of the signs are switched), it is an odd function.

Hence, the function is even when f(-x) = f(x) and is odd when f(-x) = -f(x).

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Answer:2(x +14) = 40 (use the distributive property)2x + 28 = 40 (solve exactly like you did for Fran)2x = 12x = 6

Step-by-step explanation:

The ordered pair (0, -2) best represents point S’ after the translation of triangle RST.

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

R (-2, 1) is mapped to point R’ (2, -4).

This means that

(x, y) = (x + 2 - -2, y - 4 - 1)

This gives

(x, y) = (x + 4, y - 5)

For the point S, we have"

Substitute the known values in the above equation, so, we have the following representation

S' = (-4 + 4, 3 - 5)

Evaluate

S' = (0, -2)

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Answer:

multiply the length value by 2.54

so the answer is 2.54

2.54 centimeters are equal to 1 inch. The solution has been obtained by using the unit conversion.

What is unit conversion?

The same characteristic is stated in a different unit of measurement by using a unit conversion. If you want to represent time or distance, for example, you could use feet rather than hours to indicate the time or the distance, respectively. Measurements are frequently requested in a different set of units than those they are delivered in, such as chains, but are provided in a different set, such as feet.

We are given 1 inch which is to be converted into centimeters.

Since,

⇒1 inch = 0.0254 meters

So,

⇒1 inch = 2.54 centimeters

Hence, 2.54 centimeters are equal to 1 inch.

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so hmmm let's notice the denominators in each, so hmmm the 1st equation has an LCD of 6, so let's multiply both sides by that, and the 2nd equation has an LCD of 12, so let's multiply it by that to do away with the denominators, oddly enough, it gives us an elimination of a variable, so let's do so

[tex]\begin{array}{llll} \cfrac{1}{2}x-\cfrac{2}{3}y=6 \\\\\\ \cfrac{1}{4}x+\cfrac{1}{3}y=-1 \end{array}\hspace{5em} \begin{array}{llll} 6\left( \cfrac{1}{2}x-\cfrac{2}{3}y=6 \right) \\\\\\ 12\left( \cfrac{1}{4}x+\cfrac{1}{3}y=-1 \right) \end{array}\hspace{5em} \begin{array}{llll} ~~ 3x-4y&=36 \\\\\\\\\\ -3x-4y&=12\\\cline{1-2} ~\hfill -8y&=48 \end{array} \\\\[-0.35em] ~\dotfill[/tex]

[tex]-8y=48\implies y=\cfrac{48}{-8}\implies y=-6 \\\\\\ \stackrel{\textit{substituting on the 1st equation}}{3x-4y=36}\implies 3x-4(-6)=36\implies 3x+24=36 \\\\\\ 3x=12\implies x=\cfrac{12}{3}\implies x=4 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} (4~~,~-6) \end{array}}~\hfill[/tex]

The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by: y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t.

The general solution to the  differential equation y'' - 2y' + y = 8e^-t can be found using the method of characteristic equations.

The characteristic equation is obtained by substituting y = e^rt into the differential equation: r^2e^rt - 2re^rt + e^rt = 8e^-t

Expanding the left side:

r^2e^rt - 2re^rt + e^rt = 8e^-t

r^2e^rt - 2re^rt + (1-8)e^rt = 0

Solving for the characteristic equation:

(r-4)(r+2) = 0

The characteristic equation has two roots, r = 4 and r = -2. These roots correspond to the two linearly independent solutions of the differential equation:

y = c1e^(4t) + c2e^(-2t)

where c1 and c2 are arbitrary constants.

Therefore, The general solution to the differential equation y'' - 2y' + y = 8e^-t is given by:

y = c1e^(4t) + c2e^(-2t) + (4t + 1)e^-t

where c1 and c2 are arbitrary constants determined by initial conditions or boundary conditions.

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95.54% of the chocolate bars at the factory weigh less than 8. 17 ounces

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

z score shows by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)/standard deviation

Given that mean = 8, standard deviation = 0.1

For x < 8.17 ounces:

z = (8.17 - 8) / 0.1 = 1.7

From the normal distribution table:

P(z < 1.7) = 0.9554 = 95.54%

The probability that the chocolate bars weigh less than 8. 17 ounces is 95.54%

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12 mygs will cost 27, and 5 flasks will cost 30

Answer:

6 + 2x

Step-by-step explanation:

Distributive property is multiplying a number outside a parenthesis to those inside the parenthesis, thus:

2(3 + x)

(2(3) + 2(x))

[6 + 2x]

Answer:

41.1 cm

Step-by-step explanation:

1) Find the perimeter of the visible rectangle...

1) Find the perimeter of semicircles

We can put the semicircles together to make a whole circle so instead of finding the perimeter of both semicircles separately we can find the perimeter of a whole circle with radius 4.

3) Add the results

Have a lovely day :)

Total Perimeter of the figure is 41.13274 cm

Given that,

Length of a side = 4 cm

Now,

There are two semi circles being formed in the figure. If we add both it will form a circle.

The perimeter of the circle = Circumference of the circle

Circumference = 2 π r                         ( r  = 4 cm i.e. a side)

                         = 2 π * 4

                         = 8 π cm

and the four sides of the figure that are left, form a square,

so, the perimeter of the square = 4 * side

                                                     = 4 * 4 = 16 cm

Total Perimeter = 8π +16

                          = 41.13274 cm

Therefore, Total Perimeter of the figure is 41.13274 cm

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y = -2x + 12 is the linear equation's slope intercept form.

In the form of a slope-intercept equation, the line's equation is stated as follows: y = mx + b, where m denotes the slope and b denotes the y-intercept.

Values for the slope and y-intercept describe the properties of the relationship between the two variables x and y.Slope is a measure of how quickly y changes for every unit change in x.

In the event that the x-value is 0, the y-intercept shows the y-value. An equation's slope intercept form is shown as follows:

y = mx + c

where

slope = m

y-intercept = c

Therefore,

4x + 2y = 24

2y = -4x + 24

multiply both sides by two.

2y / 2 = -4x /2 + 24 / 2

y = -2x + 12

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The expression for m in terms of p will be m = 5p - 4

A function shows the relationship between the variables that are provided or the data given regarding an information.

Function A    x   + 4   then × 2  = y

x = m

y = (m + 4) × 2   = 2m +  8

Function B     x ÷ 5   Then + 1  =  y

x =  2m +  8

y = 2p+1

(2m + 8)  ÷ 5   + 1  =  2p+1

= (2m + 8)  ÷ 5  = 2p

= 2m +  8 = 10p

= m + 4 = 5p

m = 5p - 4

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Here is a composite function find an expression for m in terms of p give your answer in its simplest form

Function A    x   + 4   then ×2  = y

Function B     x ÷ 5   Then + 1  =  y

m  Function A   then Function B   = 2p+1

The linear function that passes through the points f(3)= -4 and f(5) = -4 is:

f(x) = -4

A general linear function can be written as:

f(x) = a*x + b

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

Here we know the two pairs:

f(3) = -4

f(5) = -4

So for the inputs x = 3 and x = 5 we have the same output, then we have a constant linear function that can be written as:

f(x) = 0*x - 4

f(x) = -4

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The value of the trigonometric functions given that the point (-112, -15) is on the terminal side of an angle, θ is sin(θ)= y/r = -15/ 113 cos(θ)= x/r = -112/ 113 tan(θ)= y/x = -15/ -112 csc(θ)= r/y = 113/ -15 sec(θ)= r/x = 113/ -112.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side. When the positive integer sides of a right triangle (let's say sides a, b, and c) are squared, the result is an equation known as a Pythagorean triple.

The terminal points are given as follows:

x = -112 and y = -15

Using the Pythagorean theorem we have:

x^2 + y^2 = r^2

(-112)^2 + (-15)^2 = r^2

12544 + 225 = r^2

r = 113

Now, the trigonometric functions is given as:

sin(θ)= y/r = -15/ 113

cos(θ)= x/r = -112/ 113

tan(θ)= y/x = -15/ -112

csc(θ)= r/y = 113/ -15

sec(θ)= r/x = 113/ -112

cot(θ)= x/y = -112/ -15

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Blinding refers to the nondisclosure of the treatment an experimental unit is receiving in a controlled experiment.

Blinding is a technique used in experimental design to reduce bias and improve the validity of results. It refers to the practice of not revealing to the experimental units (e.g., participants, animals) or the experimenters which treatment they are receiving in a controlled experiment.

Blinding is used to eliminate potential sources of bias that might influence the results of the experiment. For example, if the participants are aware of the treatment they are receiving, they might behave differently and affect the results. Similarly, experimenters might unconsciously treat participants differently based on their knowledge of the treatment, which could also affect the results.

"

Complete question

________ refers to nondisclosure of the treatment an experimental unit is receiving.

"

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The correct option for the question is option d) Experience with the target

In the given example, a banker has done several transactions with Todd and found them to be economically prudent. Based on his interactions with Tedd, the lender is likely to categorize Todd as reckless and artsy. He was in this position to stereotype Todd because of the several dealings he had with him. As a result, it is an example of prior experience with the objective. As a result, the proper option is (d) Experience with the target. All other selections are inappropriate and incorrect.

The complete question is:

A banker who has done several deals with Todd McFarlane and the McFarlane Company and knew that the company tends to be fiscally conservative would be less likely to stereotype Todd McFarlane as a risky, artistic type. Which perceiver characteristic best explains this outcome?

a) Gender and emotional status

b) Needs and goals

c) Direction of glaze

d) Experience with the target

e) Cognitive load

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Table 2 is a many-one function and table 4 is also a many-one function.

A set is a collection of well-defined objects.

A subset contains all the elements or a few elements of the given set.

The improper subset is when it contains all the elements of the given set and the proper subset is when it doesn't contain all the elements of the given set.

We know a relation is not a function if two distinct ordered pairs have the same first coordinate.

The first table is not function as preimage 3 has two images namely

0 and 2.

The second table is a function and it is a many-one function.

A many one functions is a function in which the same preimages have different images.

The third table is also not a function as preimage 3 has two distinct images.

The fourth table is also a many-one function.

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Generally speaking you can count on 2,000 steps equaling one mile.

How many steps in 1 mile?

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Option B is the correct answer. Ceteris paribus is a phrase do we use to indicate that we are trying to study the relationship between two variables while the values of all other variables are held unchanged.

This is the most commonly-used phrase that defines 'all other things being unchanged or constant'. It is used in economics to rule out the possibility of 'other' factors changing, which is the specific causal relation between two variables is focused.

This is the Latin phrase that is generally used for saying 'with other things being the same'. It is particularly crucial in the study of cause and effect relationships between two specific variables such that other relevant factors influence.

The opposite word for this phrase is 'mutat's mutants, which defines changing some factors that are used to be changed. Ceteris paribus is often a fundamental assumption to the predictive purpose of scrutiny.

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The height of the cylinder jar is 6/4 centimeters

The formula for determining the volume of a cylinder is expressed with the equation;

V = πr²h

Such that the parameters are;

From the information give, we have that;

Volume = 24π cubic centimeters

Radius = 4cm

Now, substitute the values into the formula

24π = π(4)²h

find the square

24π = 16πh

Make 'h' the subject of formula, we get;

h = 24π/16π

h = 24/16

h = 6/4

Hence, the value is 6/4

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