Evaluate this function please:
f(g(2))

Answer:

Dimensions will be 4 * 2 cm.

Step-by-step explanation:

l = length of rectangle and w = width

Perimeter = 2l + 2w = 12

l + w = 6.

---> l = 6 - w

Volume of the cylinder

V = πr^2l

w = 2πr

--> r = w/2π

l = 6 -  w so

V = π(w/2π)^ 2 * (6 - w)

---> V =  w^2/4π (6- w)

---> V = 3w^2/ 2π - w^3/4π

Differentiating:

dV/ dw =  6w/ 2π - 3w^2 / 4π

             =   - 3(w - 4)w / 4π

This equals 0 for maximum volume

- 3(w - 4)w / 4π = 0

w = 0 or w = 4

Answer:

Step-by-step explanation:

Since segment P A bisects angle A P B, we know that angle A P C measures 90 degrees. Therefore, segment C P is the radius of the circle.

We can use the Pythagorean theorem to find the length of segment A P:

AP^2 + CP^2 = AC^2

AP^2 + CP^2 = (2CP)^2 (since AC is the diameter of the circle)

AP^2 = 4CP^2 - CP^2 = 3CP^2

AP = CP * sqrt(3)

We know that CP is 4 feet, so:

AP = 4 * sqrt(3) feet

The arc length of a circle is given by:

arc length = (angle/360) * 2 * pi * radius

The angle of arc A B C is 360 - 45 = 315 degrees. The radius of the circle is CP = 4 feet. Substituting these values into the formula, we get:

arc length = (315/360) * 2 * pi * 4 feet

arc length = 3.5 * pi feet

Rounding to the nearest hundredth, the arc length is approximately 10.99 feet.

Here is a diagram of the points described:

(2,3)      (2, -3)

  |             |

  |             |

  c----------d

Based on the given points, let's consider the following:

Point A: A (2, 3)

Point B: B (2, -3)

Points A and B have the same x-coordinate, indicating that they lie on a vertical line. The y-coordinate of A is greater than the y-coordinate of B, suggesting that A is located above B on the y-axis.

Now, you mentioned that points C and D are collinear. Collinear points lie on the same line. Assuming that points C and D lie on the same vertical line as A and B, but at different positions.

The points A (2,3) and B (2, -3) are collinear, but the points A, B, C, D, and F are not. This is because the points A and B have the same x-coordinate, so they lie on the same vertical line. The points C and D also have the same x-coordinate, so they lie on the same vertical line. However, the point F does not have the same x-coordinate as any of the other points, so it does not lie on the same vertical line as any of them.

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The calculated value of the expression A/the area of XYZ is \(\frac{49\sqrt3}{216}\)

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

By the ratio of corresponding sides (see attachment for figure), we have

(x + 2y)/(2x + y) = 3/4

By comparison, we have

x + 2y = 3

2x + y = 4

This gives

(x, y) = (5/3, 2/3)

The triangles are equilateral triangles

So, we have

Area of XYZ = 1/2 * side length² * sin(60)

This gives

Area of XYZ = 1/2 * (2x + y)² * sin(60)

Substitute the known values in the above equation

Area of XYZ = 1/2 * (4)² * sin(60)

Evaluate

Area of XYZ = 4√3

The region A is a trapezoid

So, the area is

A = 1/2 * Sum of parallel sides * height

So, we have

A = 1/2 * (x + y) * (x² - y²)

Recall that (x, y) = (5/3, 2/3)

So, we have

A = 1/2 * (5/3 + 2/3) * ((5/3)² - (2/3)²)

Evaluate

A = 49/18

Finding A/the area of XYZ, we have

A/the area of XYZ = 49/18 ÷ 4√3

This gives

A/the area of XYZ = 49/72 ÷ √3

Rationalize

A/the area of XYZ = \(\frac{49\sqrt3}{216}\)

Hence, the value of the expression is \(\frac{49\sqrt3}{216}\)

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Complete question

Let G be the center of the equilateral triangle XYZ. A dilation centered at G with scale factor -3/4 is applied to triangle XYZ, to obtain triangle X'Y'Z'.  Let A be the area of the region that is contained in both triangles XYZ and X'Y'Z'. Find A/the area of XYZ.

XY = 2x + y

X'Z' = x + 2y

Region A is a trapezoid with parallel sides y & x and height x² - y²

Answer:

36 degrees

Step-by-step explanation:

I’m pretty sure that’s it

Step-by-step explanation:

This APR assumes no compounding ( as I believe it would include in Europe)...this makes it much simpler to answer this Q:

28.5 / `12 = 2.375 %   per month

2.735% of 145 = $ 3.44 finance charge

Answer:

Step-by-step explanation:

Reduce 88/80 to lowest terms

The simplest form of  

88

80

is  

11

10

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 88 and 80 is 8

Divide both the numerator and denominator by the GCD

88 ÷ 8

80 ÷ 8

Reduced fraction:  

11

10

Therefore, 88/80 simplified to lowest terms is 11/10.

MathStep (Works offline)

Download our mobile app and learn to work with fractions in your own time:

Android and iPhone/ iPad

Equivalent fractions: 176/160 44/40 264/240 440/400 616/560

More fractions: 176/80 88/160 264/80 88/240 89/80 88/8187/80 88/79

Fractions Simplifier

your answer is

9/36

A nurse provides a back massage as a palliative care measure to a client who is unconscious, grimacing, and restless.

The therapeutic response that the nurse should identify in the client after a back massage includes relaxing of facial muscles and the pulse remaining within the expected range.
Massage is a fundamental nursing measure that is often utilized as part of palliative care for patients. The purpose of back massage is to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nursing assessment of the patient before and after the massage is essential to determine its effectiveness as a therapeutic intervention for the patient.
When providing back massage as a palliative care measure to an unconscious, grimacing, and restless client, the nurse should identify several therapeutic responses as follows;
The shoulders droop: The nurse should expect the shoulders of the client to relax during massage therapy. If this occurs, it is a sign that the patient is experiencing relaxation and tension relief.
The facial muscles relax: Relaxation of the facial muscles is a common therapeutic response during back massage. The nurse should observe the patient's face for any signs of relaxation, which may include softening of facial lines, eyelids drooping, or a general expression of peacefulness.
The respiratory rate (RR) decreases: The nurse should expect the client's respiratory rate to decrease during a back massage. This is because relaxation stimulates the parasympathetic nervous system, resulting in decreased respiratory rate, heart rate, and blood pressure.
The pulse is within the expected range: The nurse should expect the client's pulse to remain within the expected range during a back massage. A normal pulse rate is between 60-100 beats per minute for adults. If the pulse remains within this range, it is a sign that the patient is responding positively to the massage therapy.

In conclusion, providing back massage as a palliative care measure to an unconscious, grimacing, and restless client can help to promote relaxation, improve blood circulation, reduce muscle tension, and alleviate pain, stress, and anxiety. The nurse should identify therapeutic responses in the patient during the massage therapy, which may include relaxation of the shoulders, facial muscles, decreased respiratory rate, and pulse remaining within the expected range.

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Answer:

There is no solution to this equation

Step-by-step explanation:

2x+1=2(x-2)=

2x+1=2x-4

0x = -5

Answer is no solution

this statement is false

2x+1=2(x-2)

2x+1=2x-4

cancel equal terms

1=-4

According to the FCFS (First-Come, First-Served) rule, the sequence of suits is 1-2-3. The total length of time taken to complete the three suits (including delivery) is 28 hours. However, Johnson's rule provides a better schedule with the sequence 2-1-3, resulting in a total length of time of 23 hours to complete the suits.

The FCFS rule schedules the suits based on the order in which they were received. According to the given table, the sequence of suits using the FCFS rule is 1-2-3. To calculate the total length of time taken, we sum up the cutting and sewing time and the delivery time for each suit. For suit 1, it takes 4 hours for cutting and sewing and 5 hours for delivery. For suit 2, it takes 3 hours for cutting and sewing and 2 hours for delivery. And for suit 3, it takes 6 hours for cutting and sewing and 9 hours for delivery. Adding up these times, we get a total length of time of 4 + 5 + 3 + 2 + 6 + 9 = 28 hours.
However, Johnson's rule provides a more efficient schedule by optimizing the sequence of suits based on the processing times of each activity. According to Johnson's rule, the sequence is 2-1-3. For suit 2, it takes 3 hours for cutting and sewing and 2 hours for delivery. For suit 1, it takes 4 hours for cutting and sewing and 5 hours for delivery. And for suit 3, it takes 6 hours for cutting and sewing and 9 hours for delivery. Adding up these times, we get a total length of time of 3 + 2 + 4 + 5 + 6 + 9 = 29 hours.
Comparing the two schedules, Johnson's rule provides a more efficient schedule with a total length of time of 23 hours, while the FCFS rule results in a longer total length of time of 28 hours. Therefore, Johnson's rule gets the schedule finished sooner and is the better choice for this scenario.

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The interval of convergence is from (a - b) to (a + b), where b is a positive number.

1.  The radius of convergence R is given by the formula R = 1/|b|.

2.  The interval of convergence is given by the formula (a - b, a + b).

The radius of convergence R of a series is a measure of how quickly the series converges. It is calculated by taking the inverse of the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the radius of convergence is 1/|b|.

The interval of convergence is the region in which the series converges. It is determined by the coefficient of the term with the highest power of the variable in the series. In this case, the coefficient of the highest power of the variable is b, so the interval of convergence is (a - b, a + b). This means that the series converges for values of x in the range from (a - b) to (a + b).

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After answering the presented question, we can conclude that slope Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.

In mathematics, slope is the steepness of a line or curve. It is a measure of how much a function's y-value fluctuates when the x-value changes. A line's slope is commonly symbolised by the letter m and may be calculated as follows: m = (y₂ - y₁) / (x₂ - x₁) (x₁, y₁) and (x₂, y₂) are any two points on the line. The slope of a line might be positive, negative, zero, or unknown. A positive slope means the line ascends from left to right, whereas a negative slope means the line drops from left to right.

To find the slope of the line passing through the two points \((13,3)\) and \((15,3)\), we can use the slope formula:

slope = (y₂ - y₁) / (x₂ - x₁)

where

(x₁.y₁) =\((13,3)\)

and (x₂,y₂) = \((15,3)\)

slope = \((3 - 3) / (15 - 13) = 0 / 2 = 0\)

Therefore, the slope of the line passing through the points \((13,3)\) and \((15,3)\) is 0.

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Answer:

Step-by-step explanation:

Answer: Nominal Scale Level

Step-by-step explanation:

Data that is measured using a nominal scale is qualitative.

colors, names, labels and favorite foods along with yes or no responses are examples of nominal level data.

Answer:

Step-by-step explanation:

sin A = \(\frac{opposite side}{Hypotenuse}\)

Sin 29 = \(\frac{y}{500}\)

0.4848 * 500 = y

y = 242.4 ft

Answer:

Y=242.4

Step-by-step explanation:

due to the association property the angle at the bottom left is 29 degrees

since sine property is oposite over hypothesis we get

sine(29)=y/500

500sin(29)=y

Y=242.4

Answer:

This is likely unanswerable...

Step-by-step explanation:

Answer:

0.2 ; 0.3 ; 0.1 ; 2

Step-by-step explanation:

X 0 1 2 3 4

P(X) 0.1 0.2 0.4 0.2 0,1

a) Find the probability of 1 tire with low air pressure P (1) :

From probability distribution table Given :

P(1) = 0.2

b) Find the probability of more than 2 tires having low air pressure P (more than 2) =

P(x > 2) = p(3) + p(4)

P(x > 2) = 0.2 + 0.1 = 0.3

c) P (all 4 tires)

From the table :

P(x = 4) = 0.1

d) Compute the expected number of tires with low air pressure.

E(X) = Σx * p(x)

E(x) = (0*0.1) + (1*0.2) + (2*0.4) + (3*0.2) + (4*0.1) = 2

Answer:

the amswer would be 10x10=100

Answer:

100 10x10+100 ez

Step-by-step explanation:

1) The amplitude c+ is c+l

2) The expectation value is 0

3) The uncertainty ΔSX is √(3/7) c+.

Now, we know that any wave function can be written as a linear combination of two spin states (up and down), which can be written as:

Ψ = c+ |+> + c- |->

where c+ and c- are complex constants, and |+> and |-> are the two orthogonal spin states such that Sx|+> = +1/2|+> and Sx|-> = -1/2|->.

Hence, we can write the given wave function as:Ψ = c+|+> + i/√7|->

Now, we know that the given wave function has been defined in Sx basis, and not in the basis of |+> and |->.

Therefore, we need to write |+> and |-> in terms of |l> and |r> (where |l> and |r> are two orthogonal spin states such that Sy|l> = i/2|l> and Sy|r> = -i/2|r>).

Now, |+> can be written as:|+> = 1/√2(|l> + |r>)

Similarly, |-> can be written as:|-> = 1/√2(|l> - |r>)

Therefore, the given wave function can be written as:Ψ = (c+/√2)(|l> + |r>) + i/(√7√2)(|l> - |r>)

Therefore, we can write:c+|l> + i/(√7)|r> = (c+/√2)|+> + i/(√7√2)|->

Comparing the coefficients of |+> and |-> on both sides of the above equation, we get:

c+/√2 = c+l/√2 + i/(√7√2)

Therefore, c+ = c+l

The amplitude c+ is a real number and is equal to c+l

The expectation value of the operator Sx is given by: = <Ψ|Sx|Ψ>

Now, Sx|l> = 1/2|r> and Sx|r> = -1/2|l>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= -i/√7(c+l*) + i/√7(c+l)= 2i/√7 Im(c+)

As c+ is a real number, Im(c+) = 0

Therefore, = 0

The uncertainty ΔSX in the state |Ψ> is given by:

ΔSX = √( - 2)

where = <Ψ|Sx2|Ψ>and2 = (<Ψ|Sx|Ψ>)2

Now, Sx2|l> = 1/4|l> and Sx2|r> = 1/4|r>

Hence, = (c+l*) + (c+l) + (i/√7) - (i/√7)(c+l*)= 1/4(c+l* + c+l) + 1/4(c+l + c+l*) + i/(2√7)(c+l* - c+l) - i/(2√7)(c+l - c+l*)= = 1/4(c+l + c+l*)

Now,2 = (2i/√7)2= 4/7ΔSX = √( - 2)= √(1/4(c+l + c+l*) - 4/7)= √(3/14(c+l + c+l*))= √(3/14 * 2c+)= √(3/7) c+

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Answer:

Answer on a graph

Answer:

It should be $33 - - - - -

Step-by-step explanation:

45 + 30 = 75

75 × 0.44 = 33

Answer:

It's $33

Step-by-step explanation:

The linear model that represents the cost of any number of candy bars can be written as: C = $1.90B + $0.95

To write the linear model that models the cost of any number of candy bars, we need to find the equation of a line that best fits the given data points. We'll use the variables B for the number of candy bars purchased and C for the total cost of the candy bars.

Looking at the given data, we can see that there is a linear relationship between the number of candy bars and the total cost. As the number of candy bars increases, the total cost also increases.

To find the equation of the line, we need to determine the slope and the y-intercept. We can use the formula for the equation of a line: y = mx + b, where m is the slope and b is the y-intercept.

First, let's find the slope (m) using two points from the given data, for example, (3, $6.65) and (25, $48.45):

m = (C2 - C1) / (B2 - B1)

 = ($48.45 - $6.65) / (25 - 3)

 = $41.80 / 22

 ≈ $1.90

Now, let's find the y-intercept (b) using one of the data points, for example, (3, $6.65):

b = C - mB

 = $6.65 - ($1.90 * 3)

 = $6.65 - $5.70

 ≈ $0.95

Therefore, the linear model that represents the cost of any number of candy bars can be written as:

C = $1.90B + $0.95

This equation represents a linear relationship between the number of candy bars (B) and the total cost (C). For any given value of B, you can substitute it into the equation to find the corresponding estimated total cost of the candy bars.

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On the Fahrenheit temperature scale, water freezes at 32 degrees and boils at 212 degrees.


The Fahrenheit temperature scale is commonly used in the United States and a few other countries. On this scale, water freezes at 32 degrees Fahrenheit (°F) and boils at 212 °F. These values are based on the freezing and boiling points of water at standard atmospheric pressure. When the temperature drops below 32 °F, water molecules slow down and form a solid, resulting in the state of freezing.

On the other hand, when the temperature rises to 212 °F, water molecules gain enough energy to transition into a gas, leading to the process of boiling. These temperature points are essential for various daily activities and scientific applications that rely on the Fahrenheit scale.

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Answer: 400 miles

Step-by-step explanation: every hour, his distance decreases by 50 miles. After 4 hours, his distance is 200 miles, so 50 miles times 4 hours = 200 miles+the original 200 miles =400 miles.

Answer:

9x + y + 8 this is the correct answer

Answer:

mxv

Step-by-step explanation:

2.0x2.8=5.6

momentums equation is mass times velocity so 2.0kg is the mass and you multiply it by the velocity which is 2.8m/s and that is how you get your answer. your answer is number 3

Answer:400

Step-by-step explanation: 12/3= 4 4x100= 400

The area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ) is 294π square units.

To find the area inside the loop of the limacon given by the polar equation r = 7 - 14sin(θ), we need to evaluate the integral for half of the area and then double the result.

The curve of the limacon has a loop when 0 ≤ θ ≤ π, so we integrate from 0 to π. The area can be calculated as follows:

A = 2 ∫₀^π 1/2 r² dθ

Using the equation for r given, we can substitute and simplify:

A = 2 ∫₀^π 1/2 (7 - 14sin(θ))² dθ

A = 2 ∫₀^π 1/2 (49 - 196sin(θ) + 196sin²(θ)) dθ

A = ∫₀^π (98 - 392sin(θ) + 392sin²(θ)) dθ

Using the trigonometric identity 1 - cos(2θ) = 2sin²(θ), we can simplify further:

A = ∫₀^π (98 - 392sin(θ) + 196 - 196cos(2θ)) dθ

A = ∫₀^π (294 - 392sin(θ) - 196cos(2θ)) dθ

Integrating with respect to θ:

A = [294θ + 392cos(θ)sin(θ) + 98sin(θ)]₀^π

Evaluating at the limits of integration, we get:

A = [294π + 0 + 0] - [0 + 392cos(0)sin(0) + 98sin(0)]

A = 294π - 0 - 0 = 294π

Therefore, the area inside the loop of the limacon r = 7 - 14sin(θ) is 294π square units.

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Answer: 2(n - 12)

n is “the number”

Step-by-step explanation:

Hope that helps :D

Answer:

2(n - 12)

Step-by-step explanation: