What is the inverse of the function h(x)=3/4x+12?
h^-1(x)=

The line AD and BC would be parallel when ABC does not intersect or cross each other on the scale.

In order for the lines AD and BC to be parallel, they must never intersect or cross each other. When ABC is drawn on a scale, it is essential to consider the orientation and positioning of the lines AD and BC. If the lines AD and BC are drawn in a way that they do not intersect, and they maintain the same direction and inclination, then they can be considered parallel.

On a scale, the relative positions of the points A, B, and C, as well as the angles and lengths of the lines AD and BC, would determine whether the lines are parallel or not. If the lines AD and BC remain equidistant and never intersect, they can be considered parallel. However, if the lines AD and BC cross or meet at any point, they are not parallel. The positioning and orientation of ABC on the scale are crucial factors in determining whether AD and BC are parallel or not.

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Answer:

1. B would be at 6

2. C would be at 16

3. D would be at 9

7. G would be at -3

8. H would be at -2.2

9. J would be at -5.5

10. K would be at 2.6

Lmk if you have any questionss

Using the exterior angle theorem which involves the use of two interior angles in the polygon, the value of angle ACD in the triangle is 150 degrees

An exterior angle of a polygon is an angle that is formed outside of the polygon by extending one of its sides. It is the supplementary angle of an interior angle.

Exterior angle theorem states that the sum of two interior angles is equal to one exterior angle.

Using that theorem in this problem;

∠ACD = 33 + 117

∠ACD = 150°

The value of angle ACD in the triangle is equal to 150 degrees

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Answer:

this is not possible

No, it is not possible for a metallic element to have a melting point of -38.87 degrees Celsius under standard conditions.

The melting point of a metallic element is typically a positive value, indicating the temperature at which the solid form of the element transitions into a liquid state.

A negative melting point would be a highly unusual and physically contradictory concept because it would imply that the element exists in a liquid state at temperatures below absolute zero, which is the lowest possible temperature in the Kelvin scale (-273.15 degrees Celsius). At temperatures below absolute zero, the thermal motion of particles comes to a minimum, and it's not possible for a substance to exist in a liquid state.

In reality, metallic elements have melting points that are well above absolute zero, typically ranging from hundreds of degrees Celsius to thousands of degrees Celsius, depending on the specific element. Melting points for metals are typically positive values due to the nature of metallic bonding and the need for sufficient thermal energy to overcome the forces holding the metal atoms together in a solid lattice structure.

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Answer:

20×10=200mm

70:200

70/10=7

200/10=20

7:20 is your answer in it's simplest form

Answer:

C. 2.8 * 10^-5

Step-by-step explanation:

Ok so its been a while since I've done these but pretty sure c is the answer. (Double check to make sure I'm correct)

Answer:

The answer is C and good luck on whatever you're doing!

The two trapezoids in the figure are similar. Thus, the value of x would be equal to 33.

A trapezoid is a quadrilateral with at least one pair of sides parallel.

The two trapezoids in the figure are similar.

Since the figures are similar, the corresponding sides have the same ratio.

Here, the side must be proportional

So,

\(\sf \dfrac{40.5}{x}=\dfrac{54}{44}\)

\(\sf 1782=54x\)

Divide 54 on both sides

\(\sf x= \dfrac{1782}{54}\)

\(\sf x=33\)

Thus, the value of x is 33.

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Answer:

f(0) = 7

Step-by-step explanation:

Substitute x = 0 in the function.

f(x) = -3x + 7

f(0) = -3*0 + 7

     = 0 + 7

      = 7

Hello!

To solve the function operation, plug in 0 for x, and then solve:

\(\begin{aligned} \sf{f(0)=-3(0)+7} \\\sf{=0+7\twoheadleftarrow anything \ times \ 0 \ is \ 0. }\\\sf{=7}\end{aligned}\)

Therefore \(\sf{f(0)=7}\).

Hope that helps! :)

-art lover

Therefore, the sum of the distances traveled by the tips of both hands in one $24$-hour period is approximately $15.708$ meters.

To start, we need to find the length of each hand. The minute hand measures $10$ cm, which is equivalent to $0.1$ meters, and the hour hand measures $5$ cm, or $0.05$ meters.
Now, let's consider the distance each hand travels in one hour. The minute hand travels the circumference of the clock face, which has a diameter of $20$ cm or $0.2$ meters. The formula for the circumference of a circle is $2\pi r$, so the distance traveled by the minute hand in one hour is $2\pi(0.1) = 0.2\pi$ meters.
The hour hand travels the circumference of a circle with a diameter of $10$ cm or $0.1$ meters. Since the hour hand takes $12$ hours to complete one full revolution around the clock face, it travels $\frac{1}{12}$ of the circumference in one hour. Therefore, the distance traveled by the hour hand in one hour is $\frac{1}{12} \cdot 2\pi(0.05) = \frac{\pi}{120}$ meters.
To find the total distance traveled by both hands in $24$ hours, we can add up the distance traveled by each hand in one hour and multiply by $24$.
Total distance = $24\left(0.2\pi + \frac{\pi}{120}\right) \approx 15.708$ meters
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95° because the angle is mirrored with the other side

Sofia's favorite bag of chips were on sale for $5 for two bags. If she wanted to buy seven bags, the cost would be $17.50.

To calculate this, we need to use the formula for finding the total cost of a given number of items: Total Cost = Number of Items x Cost Per Item.In this case, we need to find the total cost of seven bags, so the equation looks like this: Total Cost = 7 x $5.

We can solve this equation by multiplying the two numbers together. 7 multiplied by 5 equals 35. However, the question is asking us to find the total cost of seven bags, which is $17.50. To convert the answer from 35 to 17.50, we need to divide 35 by two: 35 divided by 2 equals 17.50.

Therefore, the cost of seven bags of Sofia's favorite chips would be $17.50.

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Answer:

x = -√½ or √⁹/₁₀

Step-by-step explanation:

x + √(1 − x²) = √(2(2x² − 1))

Square both sides:

x² + 2x√(1 − x²) + 1 − x² = 2(2x² − 1)

2x√(1 − x²) + 1 = 4x² − 2

2x√(1 − x²) = 4x² − 3

Square both sides again:

4x² (1 − x²) = 16x⁴ − 24x² + 9

4x² − 4x⁴ = 16x⁴ − 24x² + 9

0 = 20x⁴ − 28x² + 9

Solve with quadratic formula:

x² = [ 28 ± √(28² − 4(20)(9)) ] / 2(20)

x² = (28 ± 8) / 40

x² = ½, ⁹/₁₀

x = ±√½, ±√⁹/₁₀

Check for extraneous solutions.

If x = -√½:

-√½ + √(1 − ½) = √(2(2(½) − 1))

-√½ + √½ = √(2(1 − 1))

0 = 0

If x = √½:

√½ + √(1 − ½) = √(2(2(½) − 1))

√½ + √½ = √(2(1 − 1))

√2 = 0

If x = -√⁹/₁₀:

-√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

-√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

-√⅖ = √⁸/₅

If x = √⁹/₁₀:

√⁹/₁₀ + √(1 − ⁹/₁₀) = √(2(2(⁹/₁₀) − 1))

√⁹/₁₀ + √¹/₁₀ = √(2(⁹/₅ − 1))

√⁸/₅ = √⁸/₅

Answer:

-3/2

Step-by-step explanation:

Answer:

?

Step-by-step explanation:

Answer: c

Step-by-step explanation:

A p e x

Answer:

the answer is graph B

Step-by-step explanation:

The antiderivative of 1x (or simply x) is (1/2)x² + C, where C is the constant of integration. In other words, the antiderivative of x is the function whose derivative is equal to x.

This is a basic result in calculus, and it is derived using the power rule of integration. The antiderivative of 1x (or simply x) is the function whose derivative is equal to x. This function is (1/2)x² + C, where C is the constant of integration. To find the antiderivative, one can use the power rule of integration, which states that the antiderivative of xⁿ is (1/(n+1))x⁽ⁿ⁺¹⁾ + C. In the case of x, n is equal to 1, so the antiderivative is (1/2)x² + C. The constant of integration represents the family of functions that have the same derivative, so it is added to the antiderivative to reflect this.

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Answer:

Step-by-step explanation:

The implied utilization of the resources in the process can be calculated by dividing the demand rate by the total capacity of the resources. In this case, the total capacity is 1.1 + 0.93 = 2.03 clients per hour. Therefore, the implied utilization is 0.75 / 2.03 = 0.369 (or 36.9%).

The implied utilization represents the proportion of the available capacity that is being utilized to meet the demand. In this scenario, approximately 36.9% of the total capacity is being utilized to serve the clients. This indicates that there is still some unused capacity available in the process.

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Note that based on probabilities,

The expected number of Democrats on the committee is 5.

The expected number of states represented on the committee is 26.

The expected number of states such that both of the state's senators are on the committee is 9.09.

a)  The probability that a randomly chosen senator is a Democrat is 50/100 = 1/2.

So, the expected number of Democrats on a committee of size 10 is

1/2 * 10 = 5.

b) The minimum number of   states that can be represented on a committee of size 10 is 2, and the maximum numberis 50.

The expected number of states representedon the committee is the average of these two values, which is (2 + 50)/  2 = 26.

c)  There are 50 states, and each state has 2 senators. So, there are a total of 100 pairs of senators.

The probability that a randomly chosen pair of senators both belong to the same state is 50/100 * 49/99

= 1/11.

The expected number of states such that both of the state's senators are on the committee is 100 * 1/11 = 9.09.

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its line a

Step-by-step explanation:

Among the given students, Kyle (29) pursuing a master's degree in education is NOT potentially eligible to receive the lifetime learning credit.

The Lifetime Learning Credit is a tax credit available to eligible students who are pursuing undergraduate or graduate-level courses to acquire or improve their job skills. To be potentially eligible for the credit, certain criteria must be met.

Amy (22), Chrys (23), and Jerrold (24) meet the age and enrollment criteria to be potentially eligible for the Lifetime Learning Credit. However, Kyle (29), pursuing a master's degree in education, is not eligible for this credit because the Lifetime Learning Credit is available for courses at an eligible educational institution and is typically limited to undergraduate or post-secondary education.

Since Kyle is pursuing a master's degree, he falls outside the scope of the credit. Therefore, Kyle is NOT potentially eligible to receive the Lifetime Learning Credit.

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Answer:

-1.155

or 1tghiigvxvvv v

Answer:

x=17 degrees

Step-by-step explanation:

All 3 angles = 180 degrees

So 90 + 54 + (x+19) = 180

Combine like terms

163 + x = 180

Subtract 163 from both sides

x = 180-163

x = 17

Answer:

3333.4

Step-by-step explanation:

bc i said so

Answer:

ion lolz 7.4

Step-by-step explanation:

The work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

To calculate the work required to pump all the water over the edge of the tank, we need to consider the weight of the water in the tank and the height it is lifted.

First, let's find the volume of the water in the tank. The volume of a cone is given by the formula V = (1/3)πr²h, where r is the radius and h is the height. Plugging in the values, we have:

V = (1/3)π(3²)(12)

= (1/3)π(9)(12)

= 36π

Next, we need to find the weight of the water. The weight of an object is given by the formula W = mg, where m is the mass and g is the acceleration due to gravity. The mass of the water can be found by multiplying its volume by the density of water, which is approximately 62.4 pounds per cubic foot:

m = (36π)(62.4)

≈ 22619.47 pounds

Now, we can calculate the work done by multiplying the weight of the water by the height it is lifted. In this case, the height is 12 feet:

W = (22619.47)(12)

≈ 271433.64 foot-pounds

Therefore, the work required to pump all the water over the edge of the tank is approximately 271,433.64 foot-pounds.

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The work required to pump water out of an inverted conical tank involves calculating the pressure-volume work at infinitesimally small volumes within the tank and integrating this over the entire volume of the tank. This provides an interesting application of integral calculus in Physics.

The question requires the concept of work in Physics applied to a fluid, in this case, water lying within an inverted conical tank. Work is done when force is applied over a distance, as stated by work = force x distance. In the fluid analogy, the 'force' link is the pressure exerted on the water and the distance is the change in volume of the fluid. Therefore, work done (W) = Pressure x Change in Volume (ΔV).

In this scenario, you are required to pump out water from an inverted conical tank, hence, the work you do is against the gravitational force pulling the water downwards. To calculate the total work done, you have to consider the work done at each infinitesimally small (hence, constant pressure) strip of volume and integrate over the entire volume of the tank.

The detail of calculation would require the knowledge of integral calculus and the formula for volume of a cone. I recommend considering this as an interesting application of integrals in Physics. Also remember that the volume of a cone = 1/3πr²h, where 'r' is the radius of base and 'h' is the height of cone.

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Answer:

it should be f

Step-by-step explanation:

The required polynomial long division is shown, and the solution of the expression is given as x + 1  + [2x+ 3] / (x² − 1).

It is a method for performing the division of polynomials, with little writing and lesser calculations than complex division.

Here,

x² − 1) x³ + x² + x + 2 ( x + 1
         x³ - x
----------------------
              x² + x + x  
              x²  + 1
------------------------------
                     2x + 1 + 3

Thus, the required polynomial long division is shown, and the solution of the expression is given as x + 1  + [2x+ 3] / (x² − 1).

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The correct answer of slope (A) 4\(\pi\).

To find the slope of the tangent line to the polar curve \(r=20^{2}\) at the point where θ \(=\pi\) we need to differentiate the equation with respect to θ and evaluate it at θ \(=\pi\).

Differentiating the polar equation \(r=20^{2}\) with respect to θ gives us:

\(\frac{dr}{dθ} =40\)

Now, let's substitute θ\(=\pi\) into this derivative:

\(\frac{dr}{dθ} θ=\pi =4\pi\)

Therefore, the slope of the tangent line to the polar curve \(r =20^{2}\) at θ \(=\pi\) is \(4\pi\)

So, the correct answer of slope (A) 4\(\pi\).

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Based on an 80% learning curve and the given information that the second plane took 20,000 hours to produce, the time required for the fourth unit is approximately 10,714 hours.

The learning curve concept suggests that as cumulative production doubles, the time required to produce each unit decreases by a certain percentage. In this case, the learning curve is 80%, meaning that the time required to produce each subsequent unit decreases by 20%.
To determine the time required for the fourth unit, we can use the learning curve formula:
Time for nth unit = Time for the first unit * (n^log(learning curve))
Given that the second plane took 20,000 hours to produce, we can use this information to calculate the time for the fourth unit:
Time for fourth unit = 20,000 * (4^log(0.8))
Evaluating the expression, we find that the time required for the fourth unit is approximately 10,714 hours.
Therefore, according to the 80% learning curve, the fourth unit would require approximately 10,714 hours to produce.

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The player can expect to win $750 in the long run for a 3 digit lottery game with numbers 0 to 9 selected for each number.

The player can expect to win $750 in the long run for a 3 digit lottery game with numbers 0 to 9 selected for each number if the payoff on a $1 bet is $750.

Let's see how we can arrive at this answer.In a 3-digit lottery game with numbers 0 to 9 selected for each number, there are 1000 possible winning combinations.

Since the chance of winning is 1 in 1000, it means that a player would win once every 1000 times they play the game.

If the payoff on a $1 bet is $750, it means that the player would win $750 for each win.

Therefore, in the long run, for every 1000 times the player plays the game, they can expect to win once and receive a payoff of $750.

Hence, the player can expect to win $750 in the long run for a 3 digit lottery game with numbers 0 to 9 selected for each number.

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The equation of the line that passes through the points (4, 4) and (-1, 4) is y = 4, which represents a horizontal line passing through y = 4.

What is Equation ?

In mathematics, an equation is a statement that asserts the equality of two mathematical expressions. It consists of two sides, the left-hand side and the right-hand side, separated by an equal sign (=). The expressions on both sides of the equal sign can include variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation.

To find the equation of a line that passes through two given points, we need to use the point-slope form of the equation, which is:

y - y1 = m(x - x1)

where (x1, y1) are the coordinates of one of the points and m is the slope of the line.

First, we can find the slope of the line using the two points:

m = (y2 - y1) :  (x2 - x1) = (4 - 4) : (-1 - 4) = 0

Since the slope is 0, the line is a horizontal line and its equation is simply:

y - y1 = 0

We can choose either point to be (x1, y1) and substitute its coordinates into the equation. Let's use (4, 4):

y - 4 = 0

Simplifying, we get:

y = 4

Therefore, the equation of the line that passes through the points (4, 4) and (-1, 4) is y = 4, which represents a horizontal line passing through y = 4.

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