If f(x) = 4x and g(x) = x^3, then what is f(g(x))?
a. 4x+x^3
b. 4x^4
c. 4x^3
d. (4x)^3

Answer:

= 3 to 7

= 3 : 7

= 3/7

Step-by-step explanation:

Number of people who ride the tram = 3

Number of people who does not ride the tram = 4

Total people = 3 + 4 = 7

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

Ratio of all people to people who​ don't ride the tram in three ways.

= 7 to 4

= 7 : 4

= 7/4

Ratio of people who ride the tram to all people in three ways.

= 3 to 7

= 3 : 7

= 3/7

The volume of the region bounded by \(y = x^2\), y = 0, x = 1, and x = 4, rotated about the x-axis, is given by the integral ∫[1,4] π\((x^2) dx\). The volume of the solid obtained by rotating the function \(y = x^2\) about the line y = -2 is given by the integral ∫[-2,0] π\([(y+2)^2] dy\). The volume of the solid obtained by rotating the function \(y = x^2\) about the line y = 3 is given by the integral ∫[0,π] π\([(3-y)^2] dy.\)

The volume of the region bounded by \(y = x^2\), y = 0, x = 1, and x = 4, rotated about the x-axis: To find the volume, we use the method of cylindrical shells. We consider an infinitesimally thin vertical strip of width dx at a distance x from the y-axis. Rotating this strip about the x-axis generates a cylindrical shell with radius x and height \(y = x^2\). The volume of this shell is given by the formula V = 2πx(y)dx = 2π\(x(x^2)dx\). We integrate this expression over the interval [1,4] to find the total volume of all the shells.

The volume of the solid obtained by rotating the function \(y = x^2\) about the line y = -2: In this case, we need to apply the method of cylindrical shells with respect to the y-axis. We consider an infinitesimally thin horizontal strip of width dy at a distance y from the line y = -2. Rotating this strip about the line y = -2 generates a cylindrical shell with radius r = y + 2 and height h = √y. The volume of this shell is given by the formula V = 2π(r)(h)dy = 2π(y + 2)(√y)dy. We integrate this expression over the appropriate interval to find the total volume.

The volume of the solid obtained by rotating the function y = x^2 about the line y = 3: Similar to problem 2, we apply the method of cylindrical shells with respect to the line y = 3. We consider an infinitesimally thin horizontal strip of width dy at a distance y from the line y = 3. Rotating this strip about the line y = 3 generates a cylindrical shell with radius r = 3 - y and height h = √y. The volume of this shell is given by the formula V = 2π(r)(h)dy = 2π(3 - y)(√y)dy. We integrate this expression over the appropriate interval to find the total volume.

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Thematic Analysis is a process that is used to analyze the text in research in qualitative research. It aims to find the patterns in the data by examining the contents of the text.

In the Qualitative Descriptive Study Design, thematic analysis is utilized to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data. It helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

Thematic Analysis is used in Qualitative Descriptive Study Design to provide an in-depth understanding of the research topic. It allows the researcher to capture and analyze the rich and diverse experiences of the participants in the study. In this method, data is collected from the participants, and the researcher analyzes the data by identifying the common themes and patterns that emerge from the data. This process of analysis is done in a systematic and iterative manner until the researcher identifies all the themes that are relevant to the research question.

Thematic analysis is useful in qualitative research because it allows the researcher to identify the themes and patterns in the data that are not explicitly stated by the participants. It helps to identify the underlying meanings of the data and to develop a deeper understanding of the research topic. This method is particularly useful when the researcher is dealing with large volumes of data and wants to identify the key themes and patterns that emerge from the data.

In conclusion, Thematic Analysis is a useful method of analysis in Qualitative Descriptive Study Design. It is used to analyze the data obtained from interviews, observation, or other qualitative methods. This method involves the identification of themes and patterns in the data and helps the researcher to organize the data, identify patterns, and develop the categories and themes that will be used to describe the findings of the study.

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Answer:

$240

Step-by-step explanation:

Simple interest on a loan is the interest that would be paid on a loan

Simple interest = principal x interest rate x time

$3000 x 0.08 x 1 = $240

Considering the value of the equation after each iteration of the loop, the output value of s is 25.

We have that i ranges from 1 to 3, and from each value of i, j ranges from 1 to 1. s starts at 0, hence, for each iteration, the value of s is found as follows. The output value is the value after the last iteration.

The output value of s is of 25.

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Answer:

\(1mm = 0.001m \\ 1000mm = 1m \\ 1cm = 0.01m \\ 100cm = 1m \\ 1km = 1000m \\ 0.001km = 1m \\ 1cm = 10mm \\ 0.1cm = 1mm \\ \\ m \: \: meter \\ cm \: \: centimeter \\ mm \: \: millimeter \\ km \: \: kilometer\)

Answer:

A) 24

B) 12

C) 54

Step-by-step explanation:

a+33=57

a=57-33

a=25

b+19=31

b=31-19

b=12

c=33+12+9

c=45+9

c=54

The value of A , B and C is 24, 12 and 54 respectively.

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

for example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total= Men + Women

First, 57 = A + 33

A= 57- 33

A= 24

Second, 31 = 19+ B

B= 31- 19

B = 12

Third, 100= 46+ C

C= 100- 46

C= 54

Hence, the value of A , B and C is 24, 12 and 54 respectively.

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Answer:

x = 5 mph

the rate of the boat in still water is 5 mph.

Step-by-step explanation:

Let x represent the speed of the boat in still water;

Given that the rate of the current is 3 mph.

When it is traveling against current, its relative speed is;

v1 = x - 3

When it is traveling with current, its relative speed is;

v1 = x + 3

Given;

A boat can travel 10 miles against a current in the same time that it can travel 40 miles with the current.

d1 = 10 miles

d2 = 40 miles

Distance = speed × time

time = distance/speed

The time taken for both cases are the same t;

t = d1/v1 = d2/v2

d1/v1 = d2/v2

Substituting the values;

10/(x-3) = 40/(x+3)

Cross multiply;

10(x+3)= 40(x-3)

10x + 30 = 40x - 120

Collecting the like terms;

40x -10x = 120+30

30x = 150

x = 150/30

x = 5 mph

the rate of the boat in still water is 5 mph.

Answer:

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

Step-by-step explanation:

Tom's coach keeps track of the number of plays that Tom carries the ball and how many yards he gains. Select all the statements about independent and dependent variables that are true.

The dependent variable is the number of plays he carries the ball.

The independent variable is the number of plays he carries the ball.

The independent variable is the number of touchdowns he scores.

The dependent variable is the number of yards he gains.

The dependent variable is the number of touchdowns he scores.

y = kx

y = dependent variable. it is the variable that is explained by the dependent variable

x = is the variable that explains the dependent variable

Answer:

2 possible values

Step-by-step explanation:

The given expression is:

\(\sqrt[3]{\frac{144}{y} }\)

In order for this to result in a whole number, 144/y must be a perfect cube, the possible perfect cubes (under 144) are:

1, 8, 27, 64, 125

The values of y that would result in those numbers are:

\(y=\frac{144}{1}=144 \\y=\frac{144}{8}=18 \\y=\frac{144}{27}=5.333\\y=\frac{144}{64}=2.25\\y=\frac{144}{125}=1.152\)

Only two values of y are integers, therefore, there are only two possible values of y for which the given expression results in a whole number.

Answer:it’s b

Step-by-step explanation:

Just took quiz on edge 2020

14 cubic cm because you just gotta think about how to flip these so you can count it B)

Answ3r:

81x^2

Step-by-step explanation

I think

Answer:

x=0

Hope this helped!!!! :)

There was $36 amount of money has Amy saved.

In mathematics, the Multiplication model performs Multiplying values on either side of the operator.

For example 4×2 = 8

The amount of money saved by Henry = $12

Since Amy has three times as much money as Henry.

The amount of money saved by Amy = $12 × 3

Apply the multiplication operation, and we get

The amount of money saved by Amy = $36

Hence, there was $36 amount of money has Amy saved.

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Answer: x=12

First, you do 8 squared = 4(4+x)

Then, you distribute and becomes a two-step equation.

64=16+4x.

So x=12.

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The cubic function whose graph passes through the given points is defined as follows:

y = -2(x³ - 4x² + x + 6).

The cubic function is defined by the Factor Theorem, as a product of it's linear factors.

The x-intercepts of the function are given as follows:

Hence the linear factors of the function are given as follows:

As a product of the linear factors, the function is defined as follows:

y = a(x + 1)(x - 2)(x - 3)

y = a(x² - x - 2)(x - 3)

y = a(x³ - 4x² + x + 6).

When x = 0, y = -12, hence the leading coefficient a is obtained as follows:

6a = -12

a = -2.

Thus:

y = -2(x³ - 4x² + x + 6).

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Draw the circle with the center at the intersection of the perpendicular bisectors and the radius equal to the distance found in step 4.

When constructing a circle circumscribed about a triangle, the following step is needed:

Identify the three vertices of the triangle.

Let's say the triangle has vertices A, B, and C.

Find the perpendicular bisectors of the triangle's sides.

For each side of the triangle, construct a line that is perpendicular to the side and passes through its midpoint.

Locate the point of intersection of the perpendicular bisectors.

The point where all three perpendicular bisectors intersect is the center of the circumscribed circle.

Measure the distance from the center to any of the triangle's vertices.

This distance is the radius of the circumscribed circle.

By following these steps, you can construct a circle that passes through all three vertices of the triangle. This circle is known as the circumscribed circle or circumcircle of the triangle. It is unique to each triangle and provides a useful geometric property that can be applied in various mathematical and geometric contexts.

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Answer:

There are 7 handshakes.

Step-by-step explanation:

The profesor is shaking hands with 7 people, so there are 7 handshakes between them.

The number of handshakes that take place are  \(^nC_{k}\)= \(\frac{n!}{k!(n-k)!}$\)  i.e 28

In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. The formula for permutation is nPr = (n!) / (n-r)! and combination formula is  nCr = n!/[r! (n-r)!]

Given here Prof. Anne Bishon has a meeting with 7 other academics, they all shake hands before sitting down thus

\(^8C_{2}\)   = \(\frac{8!}{2!(8-2)!}$\)

\(^8C_{2}\) = 28

Hence, The number of handshakes that takes place is equal to 28

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Opciones:

A) (-8, -7)

B) (0, 1)

C) (0, 2)

D) (3, 4)

Responder:

(0, 2)

Explicación paso a paso:

Dado :

y = (x + 1)

Para probar qué puntos no pertenecen; aplicamos la ecuación a las opciones dadas para ver cuál de las opciones no se ajusta a la ecuación:

(x = -8, y = - 7)

y = (x + 1)

y = - 8 + 1

y = - 7

(x = 0, y = 1)

y = 0 + 1

y = 1

(x = 0, y = 2)

y = 0 + 1

y = 1

El punto (0, 2) no pertenece

(x = 3, y = 4)

y = 3 + 1

y = 4

The points (0,2) do not belong to the given equation y = x + 1.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

The given equation is y = x + 1

To prove which points do not satisfy the given equation, we apply the given option to the equation.

1. (x = -8, y = - 7)

y = (x + 1)

y = - 8 + 1

y = - 7

Hence, The given points belong to the equation.

2. (x = 0, y = 1)

y = 0 + 1

y = 1

Hence, The given points belong to the equation.

3. (x = 0, y = 2)

y = 0 + 1

y = 1

Hence, The given points don't belong to the equation.

4. (x = 3, y = 4)

y = 3 + 1

y = 4

Hence, The given points belong to the equation.

Therefore, option 3 is correct in that point(0,2) does not belong to the given equation.

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Answer:

$340

Step-by-step explanation:

because first i divided 3,400 by 800 because thats how many bags pf ice that was sold over the weekend and then I got 4.25 and then I did 4.25*80 and I got $340 and I hope this helps u let me know

Answer:  $340

Step-by-step explanation:

Create a proportion with the given values of 800 lbs = $3400

           \(\dfrac{dollars}{pounds}:\ \dfrac{3400}{800}=\dfrac{x}{80}\)

Cross Multiply:    800x = 3400(80)

Divide by 800:           x = 340

Therefore, it will take approximately 1415.7 weeks for all of the chemical to evaporate.

To calculate the volume of a cone, we can use the formula:

\(Volume = (1/3) * π * r^2 * h\)

Given that the height (h) of the cone is 240 inches and the radius (r) is 150 inches, we can substitute these values into the formula:

\(Volume = (1/3) * 3.14 * 150^2 * 240\)

Simplifying the equation:

Volume = 3.14 * 22500 * 240

Volume ≈ 16988400 cubic inches

Now, we know that the liquid chemical evaporates at a rate of 12,000 cubic inches per week. To find out how many weeks it will take for all the chemical to evaporate, we can divide the total volume of the chemical by the evaporation rate:

Number of weeks = Volume / Evaporation rate

Number of weeks = 16988400 / 12000

Number of weeks ≈ 1415.7 weeks

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Answer:

 3 • (2x - 7) -  (x + 4)  = 0

then do 3.1     Pull out like factors :

  5x - 25  =   5 • (x - 5)

 5 • (x - 5)  = 0

4.2      Solve  :    x-5 = 0

Add  5  to both sides of the equation :

                     x = 5

Step-by-step explanation:

Answer:

\( \sf \: x = 5\)

Step-by-step explanation:

Given equation,

→ 3(2x - 7) = 5 - (1 - x)

Now the value of x will be,

→ 3(2x - 7) = 5 - (1 - x)

→ 6x - 21 = 5 - 1 + x

→ 6x - x = 4 + 21

→ 5x = 25

→ x = 25/5

→ [ x = 5 ]

Hence, the value of x is 5.

Answer:

270

Step-by-step explanation:

18.9 / 0.07 and get 270

Answer:

6/3

Step-by-step explanation:

I think bhjukjkfiffo

Answer:

-5/3

Step-by-step explanation:

rise/run you go down 5 and over 3

Answer:

16

Step-by-step explanation:

If x= -2 then replace X with -2

Therefore it is -2 times -2^2

=4^4

=16

We need to find the equations of the tangent lines to the curve represented by the parametric equations x = 2 - 3cos(e) and y = 3 + 2sin(e) at the given points (-1,3) and (2,5).

To find the equation of the tangent line at a given point on a curve, we need to find the derivative of the curve with respect to the parameter e and evaluate it at the corresponding value of e for the given point. For the point (-1,3), we substitute e = π into the parametric equations to get x = -5 and y = 3. Taking the derivative dx/de = 3sin(e) and dy/de = 2cos(e), we can evaluate them at e = π to find the slope of the tangent line. The slope is -3√3. Using the point-slope form of the equation, we obtain the equation of the tangent line as y = -3√3(x + 5) + 3. For the point (2,5), we substitute e = π/6 into the parametric equations to get x = 2 and y = 5. Taking the derivatives and evaluating them at e = π/6, we find the slope of the tangent line as 2√3. Using the point-slope form, we get the equation of the tangent line as y = 2√3(x - 2) + 5.

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The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

Given that,

10 balls, numbered from 1 to 10, are in an urn. We selected a 111 person sample with replacement.

We have to calculate the probability that the number one appears in the sample no more than three times. Compare the outcomes with the precise probability using both the normal and the Poisson approximations 0.00327556.

We know that,

Let

X = number of times that 1 appears in a sample

Probability of getting 1 =1/10=0.1

Then X congruent to Binomial (111,0.1)

Now,

If we approximately X is Poisson distribution with parameter

λ = 111 × 0.1 = 11.1

Then

P(X≤3)=∑x=0 to 3 e⁻¹¹°¹(11.1)ˣ/x!

P(X≤3)= 0.00327556

If we approximate X by Normal distribution with mean

μ = 111 × 0.1 = 11.1

σ = √111 × 0.1 × 0.9 = 3.160696 then

P(X≤3) = 0.005192688

Exact probability is

P(X≤3) = 0.003275558

Hence the answer is, The exact probability is less than probability using Poisson distribution is less than probability using normal distribution.

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Answer:

B. P(A and B) = 0.14

Step-by-step explanation:

To determine if events A and B are independent, we need to check if the probability of their intersection, P(A and B), is equal to the product of their individual probabilities, P(A) and P(B).

If A and B are independent events, then P(A and B) = P(A) * P(B).

Given that P(A) = 0.70 and P(B) = 0.20, let's calculate their product:

P(A) * P(B) = 0.70 * 0.20 = 0.14

Now, let's evaluate the answer choices:

A. P(A or B) = 0.90:

This does not provide information about the intersection of A and B, so it doesn't help determine if A and B are independent.

B. P(A and B) = 0.14:

This matches the product of P(A) and P(B) calculated earlier. If this option is true, then A and B are independent events.

C. P(A or B) = 0.14:

This is the same value as the product of P(A) and P(B), but it represents the probability of their union (A or B). It doesn't provide information about their intersection, so it doesn't help determine if A and B are independent.

D. P(A and B) = 0:

This does not match the product of P(A) and P(B) calculated earlier. If this option is true, it would imply that A and B have no common outcomes, making them independent.

Therefore, based on the calculations, the correct option is:

B. P(A and B) = 0.14

If P(A and B) equals the product of P(A) and P(B), then events A and B are independent.

The equations test observation (4, 4) belongs to class 1.

To assign a class to the test observation (4, 4),  to evaluate the equations of the support vector classifiers (SVCs) and determine which one(s) the observation satisfies.

Let's go through each SVC and check if the observation lies on the positive side or the negative side of the decision boundary.

SVC for class 1(+) vs 2(-): 2x + 3y = 0

Substituting the values of x = 4 and y = 4

2(4) + 3(4) = 8 + 12 = 20

Since 20 is positive, the test observation (4, 4) lies on the positive side of this decision boundary.

SVC for class 1(+) vs 3(-): 3x + 2y = 0

Substituting the values of x = 4 and y = 4

3(4) + 2(4) = 12 + 8 = 20

Again, 20 is positive, so the test observation (4, 4) also lies on the positive side of this decision boundary.

SVC for class 2(+) vs 3(-): x + y = 0

Substituting the values of x = 4 and y = 4

4 + 4 = 8

Since 8 is positive, the test observation (4, 4) lies on the positive side of this decision boundary as well.

Based on these results, the test observation (4, 4) satisfies all three decision boundaries and lies on the positive side of each. Therefore,  assign it to class 1, which is the common positive class across all three classifiers.

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Answer:

1£=1 liter 1$ = 1.2 liter. ( ans: in U.K)

Step-by-step explanation:

uk. usa.

1£ = 1liter. 3.15 $ = 1 gallon

3.15$ = 3.79 liter

1$= 1.2 liter

to get the rate of one dollar per liter u will

divide 3.79 (amount of liter) into 3.15 (rate in dollars).

3.79

-------

3.15

the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

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