PLEASE HELP!! DUE IN 1 HOUR!!

To evaluate the definite integral of f(g(4)) - f(g(2)), we need to consider the composition of functions and the Fundamental Theorem of Calculus.

Let's break down the steps to find the definite integral: Evaluate g(4) and g(2) using the function g. Substitute the values of g(4) and g(2) into the function f. Find the antiderivative of f(g(x)) with respect to x, denoted as F(g(x)). Apply the Fundamental Theorem of Calculus, which states that the definite integral of F'(x) from a to b is equal to F(b) - F(a), where F'(x) is the derivative of F(x).

Evaluate F(g(4)) - F(g(2)) using the antiderivative F(g(x)). Note that the expression F(g(4)) - F(g(2)) represents the change in the antiderivative F(g(x)) over the interval from g(2) to g(4). Therefore, the definite integral for f(g(4)) - f(g(2)) is F(g(4)) - F(g(2)).

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Answer:2/3

Step-by-step explanation: the chances are two outa three chances if this dont help at least i tried

Answer:

2/3

Step-by-step explanation:

Atleast 2 Heads in 3 Coin Tosses

0.5 is the probability of getting 2 Heads in 3 tosses.

The most likely to generalize to it's population of interest is a stratified random sample of 120

a stratified random sample 120

Stratified random sampling is a method of sampling that involves the division of a population into smaller subgroups known as strata. In stratified random sampling, or stratification, the strata are formed based on members’ shared attributes or characteristics, such as income or educational attainment. Stratified random sampling has numerous applications and benefits, such as studying population demographics and life expectancy.

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False. let a be a real square matrix. if a is diagonalizable then a is symmetric

Explanation: Diagonalizability and symmetry are two different properties of a square matrix. A real square matrix A is diagonalizable if it can be transformed into a diagonal matrix D through a similarity transformation with an invertible matrix P, i.e., A = PDP^(-1). A matrix is symmetric if A = A^T, where A^T is the transpose of A.

While it is true that every symmetric matrix is diagonalizable, the converse is not necessarily true. In other words, not every diagonalizable matrix has to be symmetric.

Conclusion: The statement "if A is diagonalizable then A is symmetric" is false because diagonalizability does not guarantee symmetry.

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The given statement "let a be a 4 × 6 matrix, then the nullspace of a maybe spanned by only one vector." False. Because, by considering the nullspace of the given matrix has rank 4, its dimension is 6 - 4 = 2.

If and only if a 4 × 6 matrix has rank 5, which means it has just one linearly independent column or row, the nullspace of the matrix can be covered by a single vector. This is not necessarily true for a 4 × 6 matrix, though, as the nullspace could include several linearly independent vectors.

Example:- Take the following 4 × 6 matrix, for instance:

1 0 0 0 0 0

0 1 0 0 0 0

0 0 0 0 1 0

0 0 0 0 0 1

This matrix has rank 4, so its nullspace has dimension 6 - 4 = 2. Therefore, the nullspace cannot be spanned by only one vector.

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Question

True or false? Give a reason if true and a counterexample or explanation if false.

(a) Let A be a 4 x 6 matrix, then the null space of A may be spanned by only one vector.

That year FTE was 26.

According to statement

Labor hours worked that year = 55,267

Total number of hours paid that year = 59,995

The total number of hours during the year

8 hours × 5 days × 52 weeks = 2080 hours

Now we find the FTE per year

So, FTE/YEAR = Labour works on that year / total number of hours in year

Substitute the values in it then

FTE/YEAR = 55267/2080

FTE/YEAR = 26

So, That year FTE was 26.

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We can round the complementary probability to 4 decimal places. Since trains arrive at a rate of 1 every 4.64 minutes, the average time between two consecutive trains is 4.64 minutes.

The rate at which trains arrive at the busy train station is 1 train every 4.64 minutes.

To find the probability that the next train arrives 4.92 minutes or more from now, we need to calculate the complementary probability, which is the probability that the next train arrives within 4.92 minutes from now.

To find this probability, we can subtract the probability of the next train arriving within 4.92 minutes from 1.

Let's calculate the probability of the next train arriving within 4.92 minutes.

Since trains arrive at a rate of 1 every 4.64 minutes, the average time between two consecutive trains is 4.64 minutes.

The probability of the next train arriving within 4.92 minutes is equal to the ratio of 4.92 minutes to the average time between two consecutive trains.

Probability = 4.92 / 4.64

Now, let's calculate the complementary probability:

Complementary probability = 1 - Probability

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Yeah, it seems fine so you're doing great so far! ^^

The expression represents the total number of points the player scored in the game:  2x+ 3x + 9

The correct option is A.

A mathematical expression is a finite combination of symbols that is well-formed in accordance with context-dependent principles.

When something is expressed, the methods of expression change it in the process of communication. extracted from the Cambridge English Corpus. There were two conceivable orthographic expressions for this awareness.

Let x=number of 2-point attempts.

Free throws made equal 9 points.

A point is scored when x 2-point attempts are made.

After the break,

Number of 3-pointers divided by first-half 2-point attempts equals x

Point scored in x 3-point attempts equals 3 times.

Consequently, the player's overall point total during the contest is provided by : 2x+ 3x + 9

Consequently, the formula that denotes the total amount of points each player scored during the game is as follows: 2x+ 3x + 9

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I understand that the question you are looking for is:

In the first half of a basketball game, a player scored 9 points on free throws and then scored a number of 2-point shots. In the second half, the player scored the same number of 3-point shots as the number of 2-point shots scored in the first half. Which expression represents the total number of points the player scored in the game?

A. 2x + 3x + 9

B. 2x + 3 + 9

C. 2x + 3x + 9x

D. 2 + 3x + 9

For given isosceles triangle abc, with ab = ac and bd and ce are its two medians then bd = ce

For given question,

We have been given triangle abc is an isosceles triangle with bd = ce

bd and ce are its two medians

As bd is median, d is the midpoint of side ac.

Using midpoint property,

⇒ ad = ac

Similarly, as ce is median, e is the midpoint of side ab.

Using midpoint property,

⇒ ae = eb

For Δabd and Δace,

ab = ac                     .......................(given)

⇒ ae + eb = ad + dc

⇒ 2 ae = 2 ad

⇒ ae = ad

Also, ∠a = ∠a          ....................(common angle)

So, using SAS postulate of triangle congruence,

Δabd ≅ Δace

By Corresponding parts of congruent triangles are congruent,

⇒ bd = ce

Hence proved.

For given isosceles triangle abc, with ab = ac and bd and ce are its two medians then bd = ce

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Tenemos precio de lista de $25 para el libro.

Si aplicamos un descuento del 25%, este descuento representa:

Ahorramos $6.25.

El precio que pagamos el libro es $18.75.

The indefinite integral of ln(e^(8x) - 5) dx is x - ln|e^(8x) - 5| + C.To find the indefinite integral, we can use the substitution method.

Let u = e^(8x) - 5, then du = 8e^(8x) dx. Rearranging, we have dx = du / (8e^(8x)). Substituting these into the integral, we get ∫(ln(u) / (8e^(8x))) du. Simplifying further, we have (1/8) ∫ln(u) du.

Using the integration formula for ln(u), we obtain (1/8)(u ln|u| - u) + C. Substituting back u = e^(8x) - 5, we get the final result of x - ln|e^(8x) - 5| + C, where C represents the constant of integration.

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ANSWERS

• A = 36.8°

• B = 23.2°

• a = 7.6

EXPLANATION

We can find B using the law of sines,

We have b = 5, c = 11 and C = 120°. Using the last two ratios,

Rise both sides of the equation to -1 - i.e. flip both sides,

Multiply both sides by b,

And take the inverse of the sine,

Replace with the values and solve,

Then, knowing that the sum of the measures of all the interior angles of a triangle is 180°, we find A,

Solving for A,

Finally, let's find a using the law of sines with the first and last ratios,

Solving for a,

Hence, the missing elements are A = 36.8°, B = 23.2° and a = 7.6.

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

(i) The probability that 20 red bikes arrive within an hour can be calculated using the Poisson distribution formula. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 200 * 0.05 = 10 bikes per hour (since 5% of the bikes are red). Therefore, the probability P(X=20) can be calculated as:

P(X=20) =  (e^{(-λ)} * λ²⁰) / 20!, where λ is the rate, which is 10 in this case.

Plugging in the values, we get:

P(X=20) = (e⁽⁻¹⁰⁾ * 10²⁰) / 20! ≈ 0.117

(ii) The probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours can be calculated as the product of the probabilities of these two events occurring independently.

Using the same approach as in part (i), the probability P(X=20) is 0.117.

Let Y be the number of bikes (of any color) arriving within three hours, which follows a Poisson distribution with a rate of 200 * 3 = 600 bikes. Therefore, the probability P(Y=500) can be calculated as:

P(Y=500) = (e^{(-λ)} * λ⁵⁰⁰⁰) / 500!, where λ is the rate, which is 600 in this case.

Plugging in the values, we get:

P(Y=500) = (e⁽⁻⁶⁰⁰⁰⁾ * 600⁽⁻⁵⁰⁰⁾) / 500! ≈ 0 (approximately zero, as the rate is high).

So, the probability that 20 red bikes arrive within the first hour and 500 bikes (of any color) arrive within the first three hours is approximately zero, as the event of 500 bikes arriving within three hours is highly unlikely.

(iii) Given that 20 red bikes arrived within an hour, the expected total number of bikes that arrived within this hour can be calculated as the sum of the expected number of red bikes and the expected number of bikes of other colors.

The expected number of red bikes is simply the rate of red bikes, which is 10 bikes per hour.

The expected number of bikes of other colors can be calculated by subtracting the expected number of red bikes from the total rate, which is 200 bikes per hour:

Expected number of bikes of other colors = 200 - 10 = 190 bikes per hour.

So, the expected total number of bikes that arrived within this hour is 10 + 190 = 200 bikes.

(iv) Given that 150 bikes arrived within an hour, we can use the concept of conditional probability to calculate the probability that exactly 10 out of them were red. Let X be the number of red bikes arriving within an hour, which follows a Poisson distribution with a rate of 10 bikes per hour (since 5% of the bikes are red). Therefore, the conditional probability P(X=10 | 150 bikes arrived within an hour) can be calculated as:

P(X=10 | 150 bikes arrived within an hour) = P(X=10 and 150 bikes arrived within an hour) / P(150 bikes arrived within an hour)

Using the Poisson distribution formula as in part (i), we can calculate P(X=10 and 150 bikes arrived within an hour) and P(150 bikes arrived within an hour) independently.

For P(X=10 and 150 bikes arrived within an hour), we can use the Poisson distribution formula with a rate of 10 bikes and a time interval of 1 hour:

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To find the volume of each pris you multiply the measures

So

first prism

then first blanck is 12

Second prism

if we multiply 5 and 14

then second blanck is 70

Total volume

then last blanck is 1180cu cm

Answer:

Step-by-step explanation:

9x² + 18x + 9

Factor out 9 from the expression

That's

9( x² + 2x + 1)

Using the identity

a² + 2ab + b² = ( a + b)² factor the expression

We have the final answer as

Hope this helps you

Answer:

If a researcher cannot gain access to a target population, snowball sampling procedures can assist in locating subjects. In regard to sampling procedures, if a researcher wants to be able to generalize results to the total population of interest, then a purposeful sampling technique is the best approach.

Answer:

Non-probability sampling

Step-by-step explanation:

Non-probability sampling is a method of selecting units from a population using a subjective  method.

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units.

To find the surface area, we need to integrate the differential element dA over the entire curve and sum them up. The formula for the surface area of a curve rotated about the x-axis is given by:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx,

where [a,b] represents the interval over which the curve is defined. In this case, since the curve is given by y = x^3 / 6, we can rewrite it as y = (1/6)x^3.

To calculate the surface area, we need to find dy/dx:

dy/dx = d/dx [(1/6)x^3] = (1/6) * 3x^2 = (1/2)x^2.

Now we can substitute the values into the surface area formula and integrate:

A = ∫[a,b] 2πy√(1 + (dy/dx)^2) dx

= ∫[a,b] 2π(x^3 / 6)√(1 + ((1/2)x^2)^2) dx

= π/3 ∫[a,b] x^3√(1 + (1/4)x^4) dx.

We need to determine the limits of integration [a,b]. Since the curve is not specified, we assume that the curve starts from x = 0. Therefore, the limits of integration are [0, c].

Now we can integrate the expression:

A = π/3 ∫[0,c] x^3√(1 + (1/4)x^4) dx.

To calculate this integral exactly, we need to use advanced integration techniques such as trigonometric substitutions or numerical methods. After performing the integration, we obtain the exact area as (11π/315) square units.

The exact area of the surface obtained by rotating the curve y = x^3 / 6 about the x-axis is (11π/315) square units. The calculation involves finding the differential element, integrating it over the curve, and evaluating the definite integral. The use of calculus allows us to determine the precise surface area.

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Answer:

to answer use KCF - Keep Change Flip

2x/3 × 2/3x

4x/9x

4/9 is the answer

15° in radians is equal to -π/12 or approximately -0.26 radians when rounded to the nearest hundredth.

To convert -15° to radians, we can use the formula: radians = degrees × π / 180.

Applying this formula to -15°, we have:
radians = -15 × π / 180
radians = -π / 12

Therefore, -15° in radians is equal to -π/12 or approximately -0.26 radians when rounded to the nearest hundredth.

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Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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The solution of the equation ( x - 7 ) × 2 = 36  is x = 25

The equation is

( x - 7 ) × 2 = 36

To solve this equation we have to rearrange the terms and do the arithmetic operations

The arithmetic operation is a branch of mathematics. The basic arithmetic operations are addition, subtraction, division and multiplication.

Move the 2 to the right hand side of the equation

x - 7 = 36 / 2

Divide the term

x - 7 = 18

Move the 7 to the right hand side of the equation

x = 18 + 7

Add the term

x = 25

Hence, the solution of the equation ( x - 7 ) × 2 = 36  is x = 25

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\(~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 4700\\ P=\textit{original amount deposited}\\ r=rate\to 4\%\to \frac{4}{100}\dotfill &0.04\\ t=years\dotfill &11 \end{cases} \\\\\\ 4700=Pe^{0.04\cdot 11} \implies 4700=Pe^{0.44}\implies \cfrac{4700}{e^{0.44}}=P\implies 3027\approx P\)

Answer: x=50

Step-by-step explanation:

Use the distributive property to multiply -0.2 by x-20.

-0.2x+4=44-x

Add x to both sides.

-0.2x+4+x=44

Combine -0.2x and x to get 0.8x.

0.8x+4=44

Subtract 4 from both sides.

0.8x=44-4

Subtract 4 from 44 to get 40.

0.8x=40

Divide both sides by 0.8.

x=40/0.8

Expand 40/0.8 approx 50 by multiplying both numerator and the denominator by 10.

X=400/8

Divide 400 by 8 to get 50.

x=50

Answer:

There are no pictures to explain what  L is

Step-by-step explanation:

The area of the given figure would be = 508yd

The area of an object is defined as the total space that is being occupied by that object.

The are of the given shape above= area of a rectangle - area of square.

Area of the rectangle = length × width

= 36 × 18 = 648yd

Are of a square = length × width

= 10×14 = 140

Therefore, area of the figure, 648 - 140 = 508yd

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Hello and Good Morning/Afternoon:

Let's take this problem step-by-step

What does this problem want to find:

 ⇒ domain and range

Let's find domain

 ⇒ distance covered by graph horizontally

     ⇒ [-5, 1)  

Let's find range

  ⇒ distance covered by graph vertically

      ⇒ [-4, 7)

*note

            ⇒ those points are not included in domain and range

             ⇒ those points are included in domain and range

Answer:

Hope that helps!

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\( {\qquad\qquad\huge\underline{{\sf Answer}}} \)

Here we go ~

Domain of the function are the real values at which the function is defined, or has a unique value. generally domain is represented by the values that x - coordinate can take according to graph.

So, domain of given function is :

here,

Similarly, range represents all the values that the function can have, and it is represented by the values that y - coordinate can have.

So, range of given function is :