3. If f(x) = 12x + 14, what is the range value for the domain value 3?

SCT,SCB,SCE,SBT, SBBR, SBE,SPT,SPB,SPE

PCT,PCB,PCE,PBT,PBBR, PBE, PPO,T,PPOB,PPOE

MCT,MCB,MCE,MBT,MBBR,MBE,MPT,MPB,MPE

THIS is in abrieviations.

Since T is a unitary operator which is invertible as well as inverse of T is also unitary. So T(W)=W and Tv∈W⊥, so Wl is T-invariant.

(a) To show that T(W)⊆W, let w∈W. Since W is T-invariant, we have T(w)∈W.

Therefore, T(W)⊆W. To show that W⊆T(W), let w∈W.

Since T is unitary, it is invertible, and its inverse T⁻¹ is also unitary.

Since T is unitary, we have ||T(w)||=||w||.

Therefore, T⁻¹(w)∈W. It follows that T(T⁻¹(w))=w∈T(W), so W⊆T(W).

Therefore, T(W)=W.

(b) Let v∈Wl, i.e., v∈W⊥. We want to show that Tv∈Wl, i.e., Tv∈W⊥. To do this, let w∈W. Then we have

⟨Tv,w⟩=⟨v,\(T^{*(w)\)⟩=⟨v,T⁻¹(w)⟩=0

since T⁻¹(w)∈W by part (a) and v∈W⊥.

Therefore, Tv∈W⊥, so Wl is T-invariant.

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Answer:

\( \sqrt{30} \)

Answer:  L isn't the midpoint of segment MN.

Step-by-step explanation:

NL+LM=NM

6x-5+2x+3=4x+9

8x-2=4x+9

8x-2+2=4x+9+2

8x=4x+11

8x-4x=4x+11-4x

4x=11

Divide both parts of the equation by 2:

2x=5.5

NL=6x-5

NL=(2x)(3)-5

NL=(5,5)(3)-5

NL=16.5-5

NL=11.5

LM=2x+3

LM=5.5+3

LM=8.5

NL≠LM

Hence, L isn't the midpoint of segment MN.

In summary, based on the given lengths and mathematical reasoning, we have determined that point L is the midpoint of segment MN because the lengths of NL and LM are equal when x = 2.

We must compare the lengths of the two segments NL and LM and see if they are identical in order to establish whether point L is the midpoint of segment MN.

NL = 6x - 5

LM = 2x + 3

The lengths of NL and LM ought to be equal if L is the middle of segment MN. To put it another way, NL and LM ought to be equal.

Constructing the equation

6x - 5 = 2x + 3

Now, solve for x:

6x - 2x = 3 + 5

4x = 8

x = 2

As soon as we know the value of x, we can put it back into the NL and LM formulas to get their lengths at x = 2:

NL = 6x - 5 = 6 * 2 - 5 = 12 - 5 = 7

LM = 2x + 3 = 2 * 2 + 3 = 4 + 3 = 7

The lengths of NL and LM are both 7 units.

Point L is in fact the middle of segment MN because both segments NL and LM have similar lengths.

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To calculate the total profit you have to multiply whats earned by the time:

The company earned a profit of 25 millions.

The system of inequalities that best models the graph is given as follows:

B. y > x - 4 and y < -2/3x - 2.

Both bounds are dashed, hence the intervals are open.

The upper bound of the solution is the decreasing line, with slope of -2/3 and intercept of -2, hence:

y < -2/3x - 2.

The lower bound of the solution is the increasing line, with slope of 1 and intercept of -4, hence:

y > x - 4.

Hence option b is correct.

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Answer:

96,000

Step-by-step explanation:

.8 x 120,000 = 96,000

mueves el decimal sobre el porcentaje que deseas encontrar, luego lo multiplicas por el total. por ejemplo quiere 80% entonces mueves el decimal para que sea .8 o si quierias 55% entonces es .55 y el total es el 120,000 el numero que tienes. (:

Answer:96000

Step-by-step explanation:

120000/x=100/80

(120000/x)*x=(100/80)*x       - we multiply both sides of the equation by x

120000=1.25*x       - we divide both sides of the equation by (1.25) to get x

120000/1.25=x  

96000=x  

x=96000

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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The given statement " When the film is placed into the XCP (extension cone paralleling) holder with the smooth side of the film towards the throat, after processing, it will appear darker" is false because it will  lighter, not darker.

The smooth side of the film is the side that interacts with the X-ray radiation and receives the image, while the emulsion side contains the light-sensitive crystals that react to the radiation.

Placing the smooth side towards the throat ensures that the image is sharp and clear, as the X-ray beam travels through the teeth and soft tissues before reaching the film.

After processing, the exposed areas of the film turn dark, representing the captured X-ray image, while the unexposed areas remain light or clear.

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The hotel should overbook enough rooms to maximize revenue without incurring expensive costs due to last-minute cancellations. To determine the optimal number of rooms to overbook, consider the following:

1. The average number of cancellations is 5 with a standard deviation of 3.
2. The average room rate is $80.
3. The cost of accommodating overbooked customers in a nearby hotel is $200.

Using these figures, the hotel can calculate the expected revenue for each room overbooked, while considering the risk of cancellations. The best approach is to use a probabilistic model, such as the normal distribution, to estimate the optimal number of rooms to overbook based on these statistics.

A detailed analysis would require further calculations and simulations, which are beyond the scope of this answer. However, a basic guideline for the hotel would be to overbook only a few rooms (e.g., 1-3) to minimize the risk of incurring the high cost of accommodating customers in nearby hotels while still maximizing the revenue from potential cancellations.

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Answer:

Physical means the actual wires.  Physical is concerned with how the wires are connected. Logical is concerned with how they transmit.

a. Logical

Step-by-step explanation:

...

The arrangement of network cabling between devices is a physical topology. which is the correct answer would be option (C).

The physical configuration of a network, such as the physical arrangement of wires, media (computers), or cables, is referred to as its topology. A link can connect two or more devices, and when the number of connections reaches two, they constitute a physical topology.

A physical network diagram depicts the connecting of devices via cables or wireless links. A logical network diagram, on the other hand, depicts data and signal transfer throughout a network.

Therefore, the arrangement of network cabling between devices is a physical topology.

Hence, the correct answer would be an option (C).

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Answer:

probability would be 5/6.

Answer:

x = 20

Step-by-step explanation:

13+7=20

x = 20

The required average speed of the train is calculated to be 60 mph, when the train travels certain distance and stops.  

Distance between station A and station B is given as 120 miles.

A train traveling from station A to station B travels exactly 1/3rd of the distance when it is held up and stops for 16 minutes.

Let, its average speed was x mph.

Then, total time taken if it didn't stop = 120/x h

Now, before stop it took time = ( 1/3 × 120)/x h = (40/x) h

After stop the time it took = 80/(x + 15) h

i.e, 40/x + 16/60 + 80/(x+15) = 120/x  

⇒ 80/(x + 15) + 8/30 = 80/x

⇒ 80(1/x - 1/(x + 15)) = 8/30

⇒ 10 × (15/x² + 15x) = 1/30

⇒ x² + 15x = 10 × 15 × 30

⇒ x² +15x - 450 = 0

⇒ x² +75x -60x - 450 = 0

⇒ (x+75)(x-60) = 0

⇒ x = 60 or, x = -75

As speed cannot be negative, the average speed is 60 mph.

The given question is incomplete. The complete question is 'Find the average speed of the train before it stopped for 16 minutes.'

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Answer:

-4/3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

\( \sqrt[b]{ {a}^{c} } \)

8^1/3=

\( \sqrt[3]{ {8}^{1} } \)

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

We have:

Total number of cards in a pack = 52

Total number of aces in a pack = 4

The probability of drawing an ace is:

The probability that both are aces is:

Answer: the probability is 1/221

In order to find the equation of the line, you take into account the following formula:

y = mx + b

which is the equation of the line

Now, you calculate m, named the slope, by using the following formula:

m = (y2-y1)/(x2-x1)

where x1, x2, y1 and y2 are the coordinates of the given points (0, -6) and (4,10).

Thus, you have x1 = 0, x2 = 4, y1 = -6 amd y2 = 10. You replace these values into the formula for m:

m = (10 - (-6))/()

Answer:

5 x 2

Step-by-step explanation:

5 x 2 is the answer because it says she ran 5 miles and took 2 hours to complete!

Answer:

Step-by-step explanation:

84 cents divided by 14 inches = 6 cents per inch

48 cents divided by 6 cents = 8 inches

8 inches of wire can be bought for 48 cents

Imma have to say answer D

The statement that is true on the soccer game, given the shots made and taken is D. He made a third of the shots he took.

The proportion of the shots made by Warren is :

= Number of shots made / Total number of shots taken

= 3 / 9

= ( 3 / 3 ) / ( 9 / 3 )

= 1 / 3

This shows that out of every shot taken, Warren has a 1 / 3 probability of being able to make it based on the three shots he made and the nine shots he took.

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Options for this question include:

Answer:

C

Step-by-step explanation:

ABCD is a rectangle so BC = AD

Since opposite side of a rectangle are equal in length, the side BC is equals to AD. Therefore, side BCis equals to 18 units.

Since opposite sides are equal in length. Therefore,

AD ≅ BC

AB ≅ CD

Hence,

BC = 18 units.

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Answer:

135

Step-by-step explanation:

subtract 180 by 45 since a line is 180, that is what you get for the angle that is adjacent to angle 2, there is a rule if it is adjacent, they equal each other. thus, angle 2 is 135

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

The interval on which the solution is defined depends on the domain of the exponential function. Since e^((1/2)x^2 + ln(2)) is defined for all real numbers, the solution is defined on the interval (-∞, +∞), meaning the solution is valid for all x values.

Step-by-step explanation:

o solve the differential equation dy/dx = xy with the initial condition y(0) = 2, we can separate the variables and integrate both sides.

Starting with the given differential equation:

dy/dx = xy

We can rearrange the equation to isolate the variables:

dy/y = x dx

Now, let's integrate both sides with respect to their respective variables:

∫(dy/y) = ∫x dx

Integrating the left side gives us:

ln|y| = (1/2)x^2 + C1

Where C1 is the constant of integration.

Now, we can exponentiate both sides to eliminate the natural logarithm:

|y| = e^((1/2)x^2 + C1)

Since y can take positive or negative values, we can remove the absolute value sign:

y = ± e^((1/2)x^2 + C1)

Next, we consider the initial condition y(0) = 2. Substituting x = 0 and y = 2 into the solution equation, we get:

2 = ± e^(C1)

Here, we see that e^(C1) is positive since it represents the exponential of a real number. So, the ± sign can be removed, and we have:

2 = e^(C1)

Taking the natural logarithm of both sides:

ln(2) = C1

Now, we can rewrite the general solution with the determined constant:

y = ± e^((1/2)x^2 + ln(2))

Answer:

500

Step-by-step explanation:

The inputs that are solutions for the inequality are:

x = 2

x= 1

Here we have the following inequality:

-5x < 2

We want to see which of the given inputs is a solution for this.

First we can isolate the variable in our inequality, so we get:

-5x < 2

-2 < 5x

-2/5 < x

-0.4 < x

So any value larger than -0.4 is a solution, from the given options, the two that are solutions are:

x = 1

x = 2.

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Answer:

85.375%

Step-by-step explanation:

We would be using the z-score formula which is

z = (x-μ)/σ, where

x is the raw score,

μ is the population mean, and

σ is the population standard deviation.

In the question, we are given:

x is the raw score = 47

μ is the population mean = Mean score = 43

σ is the population standard deviation = 3.8

z = (x-μ)/σ

z = (47- 43)/ 3.8

z = 4/3.8

z = 1.0526315789

The z score = 1.0526315789

Checking my z score on my normal distribution table,

The percentage of test takers that scored lower than you =

[1 - P(x>Z)] × 100

= ( 1 - 0.14625) × 100

= 0.85375 × 100

= 85.375%

Therefore, the percentage of test takers that scored lower than you is 85.375%