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Question 11 of 20 worth 10 points
Choose the expression that best represents the phrase below.
16 times as many books...
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A b-16
OB. 16-b
OC. 16-b
OD. b÷ 16
OE. 16+ b
OF. 16+ b

If the composite functions f(g(x)) and g(f(x)) both equal to x, then the function g is the Inverse function of f.

A function that can reverse into another function is known as an inverse function or anti-function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. 

Let us take the Example.

Suppose f(x)= x/4 and g(x)=4x.

Let x=1

then f(g(x))= f(g(1))=f(4)=1

and g(f(x))=g(f(1))=g(1/4)=1

Here, f(g(x))=g(f(x))=1

Therefore , we can say that f(g(x)) and g(f(x)) are inverse of each other.

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The required area of the shaded region is 141.3  sq. in.

A circle's area is the area that it takes up in a two-dimensional plane. It can be simply calculated using the formula A = r2, (Pi r-squared), where r is the circle's radius. The square unit, such as m^2, cm^2, etc., is the unit of area. Area of a circle is equal to r2 or d2/4, where = 22/7 or 3.14.

inner radius = 6 in, outer radius= 9 in

are of small circle = πr^2

Area = π(6)^2 = 36π sq. in

Similarly

Area of big circle = πr^2

Area = π(9)^2 = 81π sq. in

So,

Area of shaded region =  81π - 36π

Area of shaded region = 45π

Area of shaded region = 141.3  sq. in

Thus, required area is 141.3  sq. in.

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The solutions are explained below.

the value of x is : x = 58.63 m

Here, we have,

Given that,

Jeremy and Leslie are each flying their own drones in a flat field with their drones hovering between the two of them.

Height of Jeremy's drone = 30 m

Height of Leslie's drone = x m

h / 70 = sin 53°

h = 70 × sin 53°

h = 57.34

Therefore, Leslie's drone is higher than Jeremy's drone.

Difference of height = 57.34 - 30 = 27.34 m

27.34 / x = tan25°

x = 58.63 m

Hence, the value of x is : x = 58.63 m

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To calculate the concentrations of all species present in a 0.72 M NH3 solution (Kb=1.8×10−5), we can use the principles of the equilibrium expression for the dissociation of NH3 in water.

NH3 (ammonia) is a weak base that reacts with water to form NH4+ (ammonium) and OH- (hydroxide) ions. The equilibrium expression for this reaction can be written as:

NH3 + H2O ⇌ NH4+ + OH-

Since the initial concentration of NH3 is 0.72 M, we can assume that x mol/L of NH3 will dissociate to form x mol/L of NH4+ and OH-. Therefore, the concentrations of NH4+ and OH- will also be x mol/L.

To calculate the value of x, we can use the Kb expression, which relates the equilibrium constant to the concentrations of the species. In this case, Kb = [NH4+][OH-]/[NH3]. Substituting the known values, we have:

1.8×10−5 = x * x / (0.72 - x)

Solving this equation will give us the value of x, which represents the concentration of NH4+ and OH-. Finally, we can express the concentrations of NH3, NH4+, and OH- using two significant figures, separated by commas, based on the calculated value of x.

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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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hkdd!mfjfjfnmfkfmkfkfhuf jfkkf!!!fmfmkfgnnfmfmmfmfjjgjf la fmkjjfhfjf

The minors of the given matrix are all equal to zero, except for M11, which is -29. The cofactors C11 and C22 are -29, while C12, C21, C23, C32 are all zero. The remaining cofactors, C13, C31, and C33, are -29.

The minors of a matrix are obtained by removing a row and a column from the original matrix and calculating the determinant of the resulting submatrix. In this case, since the matrix is a 3x3 matrix, there are nine minors to calculate. However, due to the specific values in the given matrix, all the minors except M11 are equal to zero. M11 can be calculated as the determinant of the submatrix formed by removing the first row and first column, which results in a 2x2 matrix [-1 3; 4 6]. The determinant of this submatrix is -29.

The cofactors of a matrix are derived from the minors by alternately changing their signs. Therefore, the cofactor C11 is equal to the minor M11 (-29) with its sign unchanged. Similarly, C22 is also equal to -29. The cofactors C12 and C21 are derived from the minors M12 and M21, respectively, both of which are zero. Therefore, C12 and C21 are also zero. The same logic applies to the cofactors C23 and C32, resulting in zeros. Finally, the remaining cofactors, C13, C31, and C33, are derived from the minors M13, M31, and M33, which are all zero. Thus, the cofactors C13, C31, and C33 are also zero, but the specific value of the cofactor is -29.

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The root of the equation sinx = 2x-3 is 0.8401 (approx).

Given equation is sinx = 2x-3

We need to solve this equation using false position method.

False position method is also known as the regula falsi method.

It is an iterative method used to solve nonlinear equations.

The method is based on the intermediate value theorem.

False position method is a modified version of the bisection method.

The following steps are followed to solve the given equation using the false position method:

1. We will take the end points of the interval a and b in such a way that f(a) and f(b) have opposite signs.

Here, f(x) = sinx - 2x + 3.

2. Calculate the value of c using the following formula: c = [(a*f(b)) - (b*f(a))] / (f(b) - f(a))

3. Evaluate the function at point c and find the sign of f(c).

4. If f(c) is positive, then the root lies between a and c. So, we replace b with c. If f(c) is negative, then the root lies between c and b. So, we replace a with c.

5. Repeat the steps 2 to 4 until we obtain the required accuracy.

Let's solve the given equation using the false position method.

We will take a = 0 and b = 1 because f(0) = 3 and f(1) = -0.1585 have opposite signs.

So, the root lies between 0 and 1.

The calculation is shown in the attached image below.

Therefore, the root of the equation sinx = 2x-3 is 0.8401 (approx).

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Answer: 9.92

Step-by-step explanation: https://nomseagles.weebly.com/uploads/7/3/7/4/73741189/percent_practice_test_key.pdf   On question 20

Answer:18

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Interest = R% / year

(R% x $500) x 12 years = $180

(R% x $500) = $180 / 12

(R% x $500) = $15

Barbara get $15 interest per year. Now calculate the rate

R = ($15 x 100) / $500 = 3

3% of $500 is $15

If out of 692 students surveyed, 421 replied that they were over 6 feet tall , then the standard error is 0.02 , the correct answer is (c) .

In order to calculate the standard error, we need to know the sample proportion of students who are over 6 feet tall, denoted by p.

So , p = 421/692 = 0.609 ,

We also need to know the sample size, denoted by n.

⇒ n = 692

The formula for calculating the standard error is:

⇒ SE = √(p×(1 - p)/n) ,

Substituting in the values we get ,

⇒ SE = √(0.609(1-0.609)/692) ≈ 0.02

Therefore, the standard error is Option(c) 0.02.

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The given question is incomplete , the complete question is

A survey was conducted at local colleges around Madison, Wisconsin to find out the average height of a college student , of 692 students surveyed, 421 replied that they were over 6 feet tall.

What is the standard error? Answer choices are rounded to the hundredths place.

(a) 0.24

(b) 0.49

(c) 0.02

(d) 12.84

Answer:

interest money is the amount of money a lender or a financial institution receives for lending out money

Tammy makes a total of 208 ounces of juice, but she can only fit 192 ounces in the dispenser, so she has 16 ounces of leftover juice.

First we need to first find the total amount of water and orange juice concentrate she uses.

Tammy uses 40 ounces of water for each can of orange juice concentrate, and she uses 4 cans, so she uses:

40 ounces/can x 4 cans = 160 ounces of water

She also uses 4 cans of orange juice concentrate, so she uses:

4 cans x 12 ounces/can = 48 ounces of orange juice concentrate

To find the total amount of juice Tammy makes, we add the water and orange juice concentrate:

160 ounces of water + 48 ounces of orange juice concentrate = 208 ounces of juice

However, Tammy fills a 192-ounce dispenser, so she cannot fit all 208 ounces of juice in it. This means that she has some leftover juice. To find how much leftover juice she has, we subtract the amount of juice that fits in the dispenser from the total amount of juice:

208 ounces of juice - 192 ounces in the dispenser = 16 ounces of leftover juice

Therefore, Tammy makes a total of 208 ounces of juice, but she can only fit 192 ounces in the dispenser, so she has 16 ounces of leftover juice.

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No, It will not be able to outbid your competitor if your cost to produce is $30 and you need to make a markup of 30% on an upcoming bid. A competitor placed a bid for $37.

A cost is the worth of money that has been expended to produce something or provide a service and is therefore no longer available for use in production, research, retail, and accounting. In the case of an acquisition cost, the money spent on the acquisition is considered the cost. Any system for allocating expenses to a business component is known as costing. Costing is frequently used to establish expenses for customers, distribution channels, personnel, regions, goods, product lines, processes, subsidiaries, and whole businesses.

Given,

Your cost to produce is $30 and you need to make a markup of 30% on an upcoming bid. A competitor placed a bid for $37.

No, It will not be able to outbid your competitor.

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a. The equation is y =2x -5 is non - directly proportional because there is a constant term of -5 which makes the equation non-linear.

b. The equation is \(\frac{2}{5}\)x = y is directly proportional because the constant of proportionality exist is \(\frac{2}{5}\).

Given that,

We have to find for each equation whether x and y are directly proportional and if so, then find the constant of proportionality.

We know that,

a. The equation is y =2x -5

The equation does not show direct proportional because the variables y and x are not directly proportional.

There is a constant term of -5 which makes the equation non-linear.

b. The equation is \(\frac{2}{5}\)x = y

The equation  \(\frac{2}{5}\)x = y shows direct proportional because the variables x and y are directly proportional.

The constant of proportionality is \(\frac{2}{5}\) exist.

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The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

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Answer:

Slope-intercept form: y = 9/4x - 53/4

Point-slope form: y + 2 = 9/4(x - 5)

1.  12 = 4(4) ----> 12 = 16

2. 12 = -3(4) ------>12 = -12

3. 12 = 3(4) -------->12 = 12

4. 12 =  1/3(4) --------> 12 =  4/3

Precession is a phenomenon that refers to the gradual and continuous change in the orientation of the Earth's rotational axis over long periods of time.

This shift in the orientation of the axis of rotation results in changes in the position of the celestial pole with respect to the stars, which causes a shift in the apparent position of stars over time. The precession of the Earth's axis is caused by the gravitational forces of the Sun, Moon, and other planets in the solar system.
Precession is characterized by changes in the magnitude of the angle of tilt, which causes changes in the rate of the Earth's spin. As the axis of rotation moves, it causes the length of the day to change over time. Additionally, deviations in the circularity of the orbit also affect the precession of the Earth's axis.
Precession is a significant phenomenon in astronomy and has been observed for thousands of years. It has important implications for studies of astronomy, geology, and climate change. For instance, precession affects the timing of the seasons and has a significant impact on the Earth's climate. It also affects the orientation of the Earth's magnetic field, which has important implications for navigation and communication systems.
In conclusion, precession is the gradual change in the orientation of the Earth's rotational axis, caused by the gravitational forces of the Sun, Moon, and other planets. It results in changes in the magnitude of the angle of tilt, changes in the rate of Earth's spin, and deviations in the circularity of the orbit. Precession has significant implications for various fields of study, including astronomy, geology, and climate change.

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Answer:

The correct option is;

E) The average wait time to make payment and the number of cashiers working in a store

Step-by-step explanation:

An inversely proportional relationship is a relationship between two variables one where the increase in the magnitude one variable leads to the reduction in the magnitude of a second variable written mathematically as follows;

y ∝ 1/x

Therefore, given that as the number of cashiers at a store increases, the number of customers attended to per unit time by all the cashiers together increases, and the number of wait time observed by a customer to pay for the goods bought decreases.

Answer:

B.) The total number of stores visited and the average time spent in each store

E.) The average wait time to make a purchase and the number of cashiers working in a store

Step-by-step explanation:

It is correct I just took the test :)

An equation that mode the relationship between thee two variable is y=2x+3 .

Let x represent the number of 6-month period worked

Let y represent the total number of paid vacation day

According to the question,

When he started work, he was given three paid day of vacation. For each six-month period he pay at the job, his vacation is increased by two day.

Each year has 2 six-month periods. After 4.4 years Roberto will have worked 8.8 six-month periods. He will have been given vacation days for each of the 8 whole working periods he has completed. x=8 y=2*8+3 y=19

An equation that mode the relationship between thee two variable is y=2x+3 (Total vacation time equals 2 days times x plus the 3 days he was given at the start).

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Answer:

-3

Step-by-step explanation:

M = y2 - y1 / x2 - x1

Hope this helps. Pls give brainliest.

Answer:

38

Step-by-step explanation:

everything is being minus 38

A pencil consists of a cylindrical body (10 cm long, radius 0.3 cm) with a cone-shaped eraser (1 cm slant height) and a hemisphere-shaped eraser.

A pencil consists of three main parts: a cylindrical body, a cone-shaped eraser, and a hemisphere-shaped eraser. Let's break down the dimensions of each part:

Cylindrical Body:

Length: 10 cm

Radius: 0.3 cm

Cone-shaped Eraser:

Slant height: 1 cm (assumed height of the cone)

Hemisphere-shaped Eraser:

Since the dimensions of the hemisphere-shaped eraser are not specified in detail, we'll assume a few things:

Let's assume that the hemisphere is attached to the cone in such a way that the flat surface of the hemisphere is aligned with the circular base of the cone.

We'll assume that the radius of the hemisphere is the same as the radius of the cylindrical body, which is 0.3 cm.

Please note that the actual dimensions of a pencil can vary, and these assumptions are made for the purpose of explanation.

It's worth mentioning that the cylindrical body of the pencil is the main part used for writing, while the cone-shaped and hemisphere-shaped erasers are located at the opposite end of the pencil, typically used for erasing mistakes.

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8.4 cubic feet of water weigh 5233.90 pounds or 2.62 tons.

The process of changing the value of one form to another is called conversion. It doesn't affects the value,it simply converts one form to another.

It is given that-

One cubic foot = 7.48 gallons of water,

and 1 gallon of water weighs = 8.33 pounds.

Now, since One cubic foot holds 7.48 gallons of water

Therefore,to find out 8.4 cubic feet of water weigh. Simply,

⇒  8.4 cubic feet of water  = 84 x 7.48 gallons of water

⇒  8.4 cubic feet of water  = 628.32 gallons of water

To convert it in pounds-

Since,1 gallon of water weighs 8.33 pounds of water

Therefore, 628.32 gallons of water = 628.32 x 8.33 pounds of water

⇒  628.32 gallons of water = 5233.90 pounds of water

Since, 1ton = 0.0005 tons

So,  5233.90 pounds = 5233.90 x 0.0005 tons of water

⇒  5233.90 pounds = 2.62 tons of water.

Hence,8.4 cubic feet of water weigh in 5233.90 pounds and 2.62 tons.

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Answer:

16

Step-by-step explanation:

1. put this question in reverse

17+-1=??

2. get rid of the plus because

17+-1=?? the same as 17-1=??

3. solve

17-1=16

so the answer is 16

hope this helps :D

That's easy the answer is 16

Answer:

2. 20

Step-by-step explanation:

2. The distance from one base of the prism to the other base of the prism, d = 10 mm

The thickness of each triangle to be used to fill the prism, t = 0.5 mm

The number of triangles needed, n, is therefore;

\(n = \dfrac{d}{t}\)

Where;

d represents the distance between the bases of the prism, t, represents the thickness of each triangle, and n represents the number of triangles it would take to fill up the prism

Therefore;

\(n = \dfrac{10 \, mm}{0.5 \, mm} = 20\)

The number of triangles it would take to fill up the prism, n = 20

These (Non-negativity, Monotonicity, Right-continuity) three properties collectively define a function as a cumulative distribution function.

To establish that a function f(x) is a cumulative distribution function (CDF), we need to verify three essential properties: non-negativity, monotonicity, and right-continuity.

Non-negativity:

The first property requires that the CDF is non-negative for all values of x. In other words, f(x) ≥ 0 for all x. This condition ensures that the cumulative probabilities assigned by the CDF are non-negative values.

Monotonicity:

The second property states that the CDF must be non-decreasing. If x1 < x2, then it follows that f(x1) ≤ f(x2). This means that as we move along the x-axis from left to right, the cumulative probability assigned by the CDF cannot decrease. It can either remain the same or increase.

Right-continuity:

The third property demands that the CDF is right-continuous. This means that the limit of f(x) as x approaches a from the right exists and is equal to f(a). In simpler terms, if we approach a specific value of x from the right side, the cumulative probability assigned by the CDF should remain unchanged at that value.

These three properties collectively define a function as a cumulative distribution function. To determine if a given function satisfies these criteria, we would need the specific function f(x) in question. Once provided, we can assess whether the function adheres to the non-negativity, monotonicity, and right-continuity properties, thereby establishing it as a cumulative distribution function.

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To show that a function f(x) is a cumulative distribution function (CDF), we need to verify three properties:

Non-negativity: The CDF must be non-negative for all x.

Monotonicity: The CDF must be non-decreasing, meaning that if x1 < x2, then f(x1) ≤ f(x2).

Right-continuity: The CDF must be right-continuous, meaning that the limit of f(x) as x approaches a from the right exists and is equal to f(a).

Without the specific function provided, I am unable to demonstrate that a particular function is a CDF. If you provide the function f(x), I will be happy to help you verify if it meets the criteria to be a cumulative distribution function.

A rule for the reflection over the y-axis followed by a translation left 2 units and up 4 units is (x, y) → (-x - 2, y + 4).

Consider an original figure.

Let (x, y) be any point on that figure.

When this figure is reflected over the y axis, the point on the original figure will be (-x, y).

So the first rule after reflection is,

(x, y) → (-x, y)

The second transformation is the translation of the reflected figure to the left by 2 units and to the upwards direction by 4 units.

So the rule will be then,

(-x, y) → (-x - 2, y + 4)

So the complete rule from the first figure can be represented as,

(x, y) → (-x - 2, y + 4)

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In the given figure, the point X represents centroid. The correct option is C.

A centroid is the point of intersection of all the medians of a triangle in geometry. The medians of a triangle are the line segments that connect each vertex to the opposite side's midpoint.

The centroid is also known as the triangle's "centre of mass" or "centre of gravity" because it is the point at which the triangle could be balanced if cut out of a piece of cardboard or other thin material.

Circumference is defined as the point at which three perpendicular bisectors intersect, which is incorrect because there is no indication of right angles.

The incenter is the point where the angle bisectors of the triangles meet, which is also not shown in the photo.

Thus, the correct option is C.

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Your question seems incomplete, the probable complete question is: