Determine the input for which the statement f(x)=g(x)is true.from the graph,the input value is approximately

Answer:

62 1/4 = 62.25

Step-by-step explanation:

Turn the improper fraction into a mixed number then divide as an equation.

62 x 4 = 248

248 + 1 = 249.

Put the 249 over the 4 and divide.

249/4 = 249 ÷ 4 = 62.25

The given fraction in decimal form is 62.25.

So, 62¼:

Get it in decimals as follows:

Therefore, the given fraction in decimal form is 62.25.

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Add 100 pounds of weight to the luggage hold to balance the aircraft.

The CG is out of equilibrium forward with the existing numbers; weight must be increased, preferably to the aft portions, to bring the moment into acceptable bounds. Fuel addition will just increase weight; it won't shift the CG back.

The 100 pounds of luggage will cause the CG to shift back. Add 100 pounds to the maximum weight of everything to get a total weight of 2890 pounds.

The CG is now at the new weight as well as in balance since the aft arm of the luggage compartment increases the total moment arm by 140 pounds, to 2362 pounds, bringing it into balance.

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Answer:

125 sweets

Step-by-step explanation:

Let the total # of sweets the teacher bought be the variable, x.

We can set up this equation to find the # of sweets she bought:

40 · 3 + 5 = x

Because she gave 3 sweets each to her 40 students, we have to multiply these two numbers to get the # of sweets the teacher gave out.

120 + 5 = x

Then, since there's 5 extra sweets left, we can add it to the # of sweets the teacher gave out to get the total amount of sweets she bought.

125 = x

x = 125

125 sweets

Answer:

Total sweets = 125

Step-by-step explanation:

Number of sweets given to each student = 3

Number of sweets given to 40 students = 40*3 = 120

Number of sweets left with the teacher = 5

Total sweets = 120 + 5 = 125

Answer:

See explanations below

Step-by-step explanation:

In the function

f(x) = x + 30

x represents the volume of coal in cubic yards.

The implicit coefficient of one, i.e. 1x, represents each cubic yard of coal weighs one ton.

The 30 represents the weight in tons of the empty coal car.

Thus when the weight of the coal car is only 26 tons, we replace 30 by 26 to get a new function

f(x) = x + 26.

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:

75

Step-by-step explanation:

Giving Q was not necessary because you aren't doing P(Q) or anything like that....

Anyways,

\(p(x) = x^2 + x +3\\\)

Since you're doing p(8), you would replace the x's with 8s.

\((8)^2 + (8) + 3 = 64 + 8 + 3 =75\)

So your final answer would be 75.

Answer:

y=1/3x+2

Step-by-step explanation:

To solve that question let's draw a Venn's Diagram:

The left circle represents all students that owned a car, and the right circle represents all students that owned an iPod. The intersection of the two circles represents students that owned both. We know that the intersection has 20 students, then

We also know that there are a total of 40 students that owned cars, 20 of them are in the intersection, which means that they owned both, then, there are 20 students that only owned a car

Now we can repeat the same logic to the iPod, there are a total of 40 students that owned iPods, 20 of them are in the intersection, then only 20 students only owned an iPod,

Then, there are 20 students that only owned an iPod, and 20 students that only owned a car. Then there are 40 students that owned either a car or an iPod.

Answer:

The original area of the square was 24

Step-by-step explanation:

Let's say the dimension of the new square is 9 and 10, that'll make 90

Let's say the original dimensions were 9 - 7, 10 + 2 which is 2, 12

The area of the original dimensions is 24 square feet and they altered that to make the resulting rectangle 90 square feet.

Answer:

The area of the original SQUARE is 64 sq feet. x = 8

It was an 8 × 8 SQUARE.

Step-by-step explanation:

Let x = the original side length.

x + 7 is a new side

x - 2 is the other new side. Its a rectangle now.

Area of a rectangle:

A = length × width

A = (x+7)(x-2)

90 = x^2 +5x -14

Solve. Subtract 90.

0 = x^2 + 5x - 104

Factor.

0 = (x + 13)(x - 8)

x + 13 = 0 and x-8=0

x = -13 and x = 8

-13 is discarded because lengths cannot be negative.

x = 8 is the original side length of the square.

Area is 8×8 = 64 sqft

Door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

The term sampling  selecting refers to the selection of a small proportion of the population extrapolating the results the results obtained from this small group to represent the characteristics of the entire population. This sample is chose in a manner as to reflect the properties the generality of the population.

Hence, door to door sampling is used when it is important to control where the sample is delivered and when the products are of a perishable nature.

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the optimal values of O, 6, and ik to maximize the lower bound are O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2), 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), and ik = Yk1/(Yk1+Yk2), where Yk1 and Yk2 are the probabilities of y=k given x1 and x2  

The question is asking for the optimal values of O, 6, and ik to maximize the lower bound, given that p(y=k|x,60) is fixed. We are given two data points x1 and x2, and we define Yki as the probability of y=k given xi, for i=1,2.

To find the optimal O, we can use the formula for the lower bound and take the derivative with respect to O, then set it to zero and solve for O. This gives us O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2).

To find the optimal 6, we can similarly take the derivative of the lower bound with respect to 6, set it to zero, and solve for 6. This gives us 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), where hatmu_k is the expected value of x given y=k.

Finally, to find the optimal ik, we can use the constraint that i1+i2=1 and the formula for the lower bound. We take the derivative of the lower bound with respect to ik, set it to zero, and solve for ik in terms of Yk1 and Yk2. This gives us ik = Yk1/(Yk1+Yk2).

Therefore, the optimal values of O, 6, and ik to maximize the lower bound are O = (Yk1*x1 + Yk2*x2)/(Yk1+Yk2), 6 = (Yk1*hatmu_k1 + Yk2*hatmu_k2)/(Yk1+Yk2), and ik = Yk1/(Yk1+Yk2), where Yk1 and Yk2 are the probabilities of y=k given x1 and x2, and hatmu_k1 and hatmu_k2 are the expected values of x given y=k for each data  point.

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The amount of sales tax on Jacob’s purchase is $6.16

What is sales tax?

It is a tax which is charged by the government to raise money so it can provide public services. The tax is based on a certain percent of the price. Example: My State charges 4% sales tax. I want to buy a top advertised for $40. So the sales Tax is $40 × 4% = $1.6.

Jacob would like to purchase a coat and hat for a ski trip. The coat is $62.75, and the hat is $14.25.

So the total cost of coat and hat is $(62.75+14.25)

                                                       = $ 77

Sales tax is 8%

It means in $100 the sales tax is $8

In $100 the sales tax is $8

In $1 the sales tax is 8/100

In $77 the sales tax is (8×77)/100

                                    = $6.16

Hence, the amount of sales tax on Jacob’s purchase is $6.16.

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Answer:

5x-2

Step-by-step explanation:

15x^2-x-2

15x^2+5x-6x-2

factorize

5x(3x+1)-2(3x+1)

Sol: (3x+1)*(5x-2)

Period of the functions: The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ). The period of the function f(t) = (7 cos t)² is given by 2π/b where b is the period of cos t.

We know that cos (t) is periodic and has a period of 2π.∴ b = 2π∴ The period of the function f(t) =

(7 cos t)² = 2π/b = 2π/2π = 1.

The period of the function f(t) = cos (2φt²/m) is given by T = √(4πm/φ) Hence, the period of the function f(t) =

cos (2φt²/m) is √(4πm/φ).

The function f(t) = (7 cos t)² is a trigonometric function and it is periodic. The period of the function is given by 2π/b where b is the period of cos t. As cos (t) is periodic and has a period of 2π, the period of the function f(t) = (7 cos t)² is 2π/2π = 1. Hence, the period of the function f(t) = (7 cos t)² is 1.The function f(t) = cos (2φt²/m) is also a trigonometric function and is periodic. The period of this function is given by T = √(4πm/φ). Therefore, the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

The period of the function f(t) = (7 cos t)² is 1, and the period of the function f(t) = cos (2φt²/m) is √(4πm/φ).

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Answer:

Regular polygon of 10 sides or 10-gon

Explanation:

The angle of rotation symmetry is equal to

θ = 360/n

Where n is the order of rotation. In a regular polygon, the order of rotation for symmetry is the number of sides.

In this case, we can replace θ by 36 degrees and solve the equation for n

36 = 360/n

n = 360/36

n = 10

Therefore, the shape of rotation should be a regular polygon of 10 sides.

Answer:

\(3-[-(-1)]=2\)

Step-by-step explanation:

\(3-(-(-1))=3-1\\\)

\(3-1=2\)

\(=2\) ← Our Solution

Hope this helps!

Answer:

There are 28 marbles in the box. Some are red (12), others are yellow (6) and others are blue (10).

If in this box there 28 marbles and 6 of them are yellow, we substract to get the quantity of marbles that aren't yellow: 28-6 = 22

So 22 of the 28 marbles aren't yellow: 22/28, which we can simplify dividing the numerator and denominator by 2: 11/14

Step-by-step explanation:

complementary angle = 90 - angle

= 90- 48= 42 °

hope this will be helpful to you .

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Answer:

yaaaa

Step-by-step explanation:

The amount of data compression an algorithm can produce is reliant upon:

Opiton B) Several patterns in the data.

Data compression is the process of reducing the size of a file by encoding its data information more efficiently. The more patterns in the data, the more efficiently it can be compressed.

An algorithm is a set of instructions that are used to complete a task, such as compressing data. If there are several patterns in the data, the algorithm can use these patterns to create a smaller, more efficient representation of the file, resulting in greater data compression.  This means that if there are repeating parts of the file being compressed, the algorithm can make use of that to reduce the size of the file.

However, the size of the file (whether it's large or small) does not necessarily affect the amount of data compression.

Therefore, the amount of data compression an algorithm can produce is reliant upon the presence of several patterns in the data.

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-6p³ + 14p² -6 is the final polynomial after all operations

In order to get final polynomial we nedd to complete all operations on different polynomials provided velow.

A polynomial is a mathematical expression involving a sum of powers in one or more variables with real or complex coefficients. It is a type of algebraic expression which can be of degree 0,1,2,3,..n. It is represented by a letter such as "P" or "f", with one or more variables such as x, y, z, etc. and coefficients, which are numbers or constants. The degree of a polynomial is the highest power of the variable in it.

-3p³ - 3p³ + 5p² + 2p² + 7p² - 3 - 3

=> -6p³ + 14p² -6

so the required polynomial is -6p³ + 14p² -6 which is obtained after all the operation on the numbers.

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Answer:

32 school hrs in a week.

Step-by-step explanation:

The reduction percentage =

80 x 0.80 = 64  (hrs)

The distribution =

64/2 = 32hrs

Answer:

55 Units Squared

Step-by-step explanation:

Since the area of a rectangle is length multiplied by width, you can go about solving this by multiplying 5 by 11, which gives us 55.

Answer:

Step-by-step explanation:

The area of a rectangle that’s 11 units long and 5 units wide can be calculated by multiplying 11 x 5.

Option C is the correct answer.We have,

To find the area of a rectangle, you need to multiply its length by its width.

In this case,

The length is 11 units and the width is 5 units.

So,

The area of the rectangle is:

= 11 x 5

= 55 square unitsA rectangle is a 2-D shape with length and width.

The length and width are different.

If the length and width are not different then it is a square.

The area of a rectangle is given as:

Area = Length x width

Answer:

55,56,57

Step-by-step explanation:

The 3 consecutive integer numbers be 55,56,57.

The sum of three consecutive integers

The sum of three consecutive numbers = 168

We can simply solve this numerical problem by using the following process. Now,

Let the 3 consecutive integer numbers be x , x+1 , x+2.

x+(x+1)+(x+2)=168

3x+3=168

3x=168-3

3x=165

x=165/3

x=55

1 consecutive integer number, x=55

2 consecutive integer number, x+1=56

3 consecutive integer number, x+2=57

Hence, The 3 consecutive integer numbers be 55,56,57.

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The probability of taking an orange marbe out, equals the amount of orange marbles divided by the total amount of marbles.

Since there are 3 yellow, 6 black, 3 green and 9 orange marbles, the total number of marbles is:

The probability of taking an orange marble out, will be:

Therefore, there is a 3/7 probability of taking an orange marbe out.