Find a formula for the inverse of the given function. f(x) = 3x

Answer:

8

Step-by-step explanation:

is the median

give email id

Answer: $36

Step-by-step explanation:

Bill is $40, the 25% off coupon is used, and the 20% tip is left.

Step 1: Find 25% of 40

is/40=25/100 ------> 40(25)/100=10

Step 2: Find the new bill price after discount

40-10=30

Step 3: Find the 20% tip of 30

is/30=20/100 ---------> 30(20)/100=6

Step 4: Add the tip with the restaurant bill

30+6=$36

9514 1404 393

Answer:

  see the attachment

Step-by-step explanation:

The cost when no sugar is transported is 3250, so that is the "y-intercept". (There is no "y". The vertical axis is labeled "c", so that  is the c-intercept.)

The cost per ton is 125, so that is the slope or "rate of change". Each increase of 1 unit in the value of "s" will result in an increase of 125 in the value of "c". The grid lines for "c" are 500 apart, so 1 vertical grid space will correspond to 500/125 = 4 horizontal grid spaces.

The graph starts at the left side halfway between 3000 and 3500. It goes up 1 grid square for each 4 grid squares to the right.

Answer:

A

Step-by-step explanation:

Answer:

C: No, the randomness condition is not met.

Step-by-step explanation:

took the test on edge

We need to determine which of the given inequalities can be used to determine how long you must walk (w) and run (r) in order to cover more than 8 miles.

We know that you can walk at a rate of 4 mi/h, and run at a rate of 6mi/h.

Thus, if you walk for w hours, you will walk a distance d₁, in miles, given by:

Also, if you run r hours, you will run a distance d₂, in miles, given by:

Now, notice that the total distance is the sum of d₁ and d₂. And the total distance, in miles, must be greater than 8.

We represent 'greater than' using the symbol '>':

Therefore, the correct option is:

Answer:

Hello here is the answer hope this helps 79999992900.

Step-by-step explanation:

Answer:

The amount each took home was 20 unit currency.

Step-by-step explanation:

The given parameters are

The number of apples with each of the seven apple women = 20, 40, 80, 100, 120, and 140

The number of apples each woman has can be written in the following formula obtained online which is a series formula

a·n + (n - 1), (a + b)·n + (n - 2), (a + 2·b)·n + (n - 3), (a + 3·b)·n + (n - 4), (a + 4·b)·n + (n - 5), (a + 5·b)·n + (n - 6), (a + 6·b)·n + (n - 7)

Which gives;

a·n + (n - 1) = 20

(a + b)·n + (n - 2)=40

(a + 2·b)·n + (n - 3) = 60

(a + 3·b)·n + (n - 4) = 80

(a + 4·b)·n + (n - 5) = 100

(a + 5·b)·n + (n - 6) = 120

(a + 6·b)·n + (n - 7) = 140

Solving the above system, we get

n = 7, a = 2, b = 3

Which gives

2×7 + 6 = 20

5×7 + 5=40

8×7 + 4 = 60

11×7 +  3 = 80

14×7 + 2 = 100

17×7 + 1 = 120

20×7 + 0 = 140

Whereby all the women sold the apples for the same sum price, based on market pricing if groups of apples are sold at 1 unit currency for 7, and extras are sold for 3 unit currency per extra 1, we have the amount taking home by each of them given as follows;

2×1 + 6×3 = 20

5×1 + 5×3=20

8×1 + 4×3 = 20

11×1 +  3×3 = 20

14×1 + 2×3 = 20

17×1 + 1×3 = 20

20×1 = 20

Therefore, the amount each took home was 20 unit currency.

Answer:

19 Five is not tangent to the circle.

20 Eight is tangent to the circle.

Step-by-step explanation:

In order for one of the legs to be a tangent to a circle, the length must be part of a right angle triple.

I don't think the diagram on the left is, but I'll check it.

5^2 + 12^2 =

25 + 144 =

169

square root of 169 is 13

The length of the hypotenuse should be 13 not 14. Fourteen does not make Pythagorean triple. 13 would. So the line 5  units long does not make a tangent to the given circle.

The diagram on the right is a different story. 6 8 and 10 do make a Pythagorean triple, even though the two diagrams are not the same.

The radius and the distance to the external point  form a right angle.

The Pythagorean triple is

6^2 + 8^2 = 10^2

36 + 64 = 100  

100 = 100

The table of solutions for the given equation (y = -2x²) include the following:

x                    y_

-2                  -8

-1                   -2

0                   -0

1                    -2

2                   -8

Also, a graph of the solution of this equation (y = -2x²) has been plotted in the image attached below.

In order to determine the valid and true solutions to the given quadratic equation, we would have to substitute the values of contained in the table into the quadratic equations as follows;

At x = -2, the value of point y is as follows:

y = -2x²

y = -2(-2)²

y = -2 × 4

y = -8

At x = -1, the value of point y is as follows:

y = -2x²

y = -2(-1)²

y = -2 × 1

y = -2

At x = 0, the value of point y is as follows:

y = -2x²

y = -2(0)²

y = -2 × 0

y = 0

At x = 1, the value of point y is as follows:

y = -2x²

y = -2(1)²

y = -2 × 1

y = -2

At x = 2, the value of point y is as follows:

y = -2x²

y = -2(2)²

y = -2 × 4

y = -8

In conclusion, we can logically deduce that the graph of this quadratic equation forms a downward parabola.

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Answer:

(4,0) (0,2)

(2,0) (0,4)

(3,0) (0,-2)

(-1.5, 0) (0,3)

Step-by-step explanation:

First:

2x + 4y = 8

Let y = 0

2x = 8  Divide both sides by 2

x = 4

(4,0)

2x + 4y = 8

Let x = 0

4y = 8   Divide both sides by 4

y = 2

(0,2)

Second

6x + 3y = 12

Let y = 0

6x = 12 Divide both sides by 2

x = 2

(2,0)

6x + 3y = 12  

Let x = 0

3y = 12  Divide both sides by 2

y = 4

(0,4)

Third

See from the graph that the the line is crossing the x axis at the point (3,0) and the y axis at (0,-2)

Fourth

See from the graph that the line is crossing the x axis at (-1.5,0) and the y axis at (0,3)

According to the right-hand rule for the force on a current-carrying wire in a magnetic field, the direction of the force is perpendicular to both the direction of the current and the direction of the magnetic field.

The direction of the force acting on the wire can be determined using the right-hand rule for the force on a current-carrying wire in a magnetic field. According to the right-hand rule:

Point the fingers of your right hand in the direction of the current (from right to left).

Curl your fingers towards the direction of the magnetic field (out of the page).

Your thumb will now point in the direction of the force.

Therefore, the direction of the force on the wire will be upwards, perpendicular to both the current and the magnetic field.

Since the force is perpendicular to the plane of the page, the answer would be (E) up, in the plane of the page.

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The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).

In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).

"A number": This is represented by the variable x, which can take any value.

"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.

"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).

In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.

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the length of the sections will be 24 and 18 respectively.

Parallel lines are lines in a plane that are always the same distance apart. Parallel lines never intersect. Perpendicular lines are lines that intersect at a right (90 degrees) angle.

Given, Some pair of lines in that three lines are parallel and two of them are intersecting them.

Since, these are the the section made by two parallel lines. Thus, these given section will be Proportional to each other.

Thus,

20/15 = ( 7x - 11)/(4x - 2)

4/3 = ( 7x - 11)/(4x - 2)

16x - 8 = 21x - 33

5x = 25

x = 5

therefore, the length of the sections will be 24 and 18 respectively.

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The particular solution of y''' = 0, with initial conditions y(0) = 3, y'(1) = 4, y''(2) = 6, is y(x) = 3x² - 2x + 3.

To find the particular solution of the differential equation y''' = 0, we need to integrate the equation multiple times. Let's proceed step by step:

First, integrate the equation y''' = 0 with respect to x to obtain y''(x):

∫(y''') dx = ∫(0) dx

y''(x) = C₁

Here, C₁ is the constant of integration.

Integrate y''(x) = C₁ with respect to x to find y'(x):

∫(y'') dx = ∫(C₁) dx

y'(x) = C₁x + C₂

Here, C₂ is the constant of integration.

Integrate y'(x) = C₁x + C₂ with respect to x to determine y(x):

∫(y') dx = ∫(C₁x + C₂) dx

y(x) = (C₁/2)x² + C₂x + C₃

Here, C₃ is the constant of integration.

Now, we can apply the given initial conditions to find the particular solution:

Using y(0) = 3:

y(0) = (C₁/2)(0)² + C₂(0) + C₃ = 0 + 0 + C₃ = C₃ = 3

Using y'(1) = 4:

y'(1) = C₁(1) + C₂ = C₁ + C₂ = 4

Using y''(2) = 6:

y''(2) = C₁ = 6

From the equation C₁ + C₂ = 4, and substituting C₁ = 6, we can solve for C₂:

6 + C₂ = 4

C₂ = 4 - 6

C₂ = -2

Therefore, C₁ = 6, C₂ = -2, and C₃ = 3. Plugging these values back into the equation y(x), we obtain the particular solution:

y(x) = (6/2)x² - 2x + 3

y(x) = 3x² - 2x + 3

Hence, the particular solution of the given differential equation y''' = 0, satisfying the initial conditions y(0) = 3, y'(1) = 4, y''(2) = 6, is y(x) = 3x² - 2x + 3.

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Answer:

\( {x}^{2} + 6x + 5\)

Step-by-step explanation:

Required polynomial

\( {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5\)

Answer:

Step-by-step explanation:

okay first stop trying to make me do your test, and second get smarter its so easy.

Answer:

\(\angle B=150^{\circ}\)

Step-by-step explanation:

The diagram is two parallel lines cut by a transversal therefore Angle A and Angle B are alternate interior angles, in this case meaning they are equivalent (because lines are parallel).

We can use this information to set up an equation:

\(8x-10=3x+90\)

Add 10 to both sides:

\(8x=3x+100\)

Subtract 3x from both sides

\(5x=100\)

Divide both sides by 5

\(x=20\)

Then, substitute 20 for x to solve for Angle B:

\(\angle B=3(20)+90\\\angle B=60+90\\\angle B=150\)

Answer:

x = 6

y = 4

Step-by-step explanation:

x+y=10

4x-3y=12

Times the first equation by three and solve

3x + 3y = 30

4x - 3y = 12

7x = 42

x = 6

Then put 6 back in to solve for y

4(6) - 3y = 12

24 - 3y = 12

-3y = -12

y = 4

Let's check

6 + 4 = 10

10 = 10

So, my answer is correct!

Answer:

120$ 60$

Step-by-step explanation:

The total cost 161+19=180

180X150%=180×1.5

=                 = 120  

150%=15, the rule of multiplication

" Stefan spend originally $120. 180-120=60

He make $60 by selling the bicycle and helmet to Jin.

The partial derivative diffusivity equation for spherical flow is ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t, and for hemispherical flow, it is the same equation.

1. The partial derivative diffusivity equation for spherical flow is derived from the spherical coordinate system and applies to radial flow in a spherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

2. The partial derivative diffusivity equation for hemispherical flow is derived from the hemispherical coordinate system and applies to radial flow in a hemispherical geometry. It can be expressed as ∂²p/∂r² + (1/r) ∂p/∂r = ϕμC/k ∂p/∂t.

1. For the derivation of the partial derivative diffusivity equation for spherical flow, we consider a spherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the polar angle (φ). By assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in spherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

2. Similarly, for the derivation of the partial derivative diffusivity equation for hemispherical flow, we consider a hemispherical coordinate system with the radial direction (r), the azimuthal angle (θ), and the elevation angle (ε). Again, assuming steady-state flow and neglecting the other coordinate directions, we focus on radial flow. Applying the Laplace operator (∇²) in hemispherical coordinates, we obtain ∇²p = (1/r²) (∂/∂r) (r² ∂p/∂r). Simplifying this expression, we arrive at ∂²p/∂r² + (1/r) ∂p/∂r.

In both cases, the term ϕμC/k ∂p/∂t represents the source or sink term, where ϕ is the porosity, μ is the fluid viscosity, C is the compressibility, k is the permeability, and ∂p/∂t is the change in pressure over time.

These equations are commonly used in fluid mechanics and petroleum engineering to describe radial flow behavior in spherical and hemispherical geometries, respectively.

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For a sale of Rs 15,000, the commission received by the agent is Rs 150.

For a sale of Rs 25,000, the commission received by the agent is Rs 325.

For a sale of Rs 55,000, the commission received by the agent is Rs 1,225.

To calculate the commission received by the agent for different sales amounts, we'll follow the given commission rates based on the sales tiers.

For a sale of Rs 15,000:

Since the sale amount is less than Rs 20,000, the commission rate is 1%.

Commission = Sale amount * Commission rate

Commission = 15,000 * 0.01

Commission = Rs 150

For a sale of Rs 25,000:

Since the sale amount is greater than Rs 20,000 but less than Rs 50,000, we'll calculate the commission in two parts.

First, for the amount up to Rs 20,000:

Commission = 20,000 * 0.01

Commission = Rs 200

Next, for the remaining amount (Rs 25,000 - Rs 20,000 = Rs 5,000):

Commission = 5,000 * 0.025

Commission = Rs 125

Total commission = Commission for up to Rs 20,000 + Commission for the remaining amount

Total commission = Rs 200 + Rs 125

Total commission = Rs 325

For a sale of Rs 55,000:

Since the sale amount is greater than Rs 50,000, we'll calculate the commission in three parts.

First, for the amount up to Rs 20,000:

Commission = 20,000 * 0.01

Commission = Rs 200

Next, for the amount between Rs 20,000 and Rs 50,000 (Rs 55,000 - Rs 20,000 = Rs 35,000):

Commission = 35,000 * 0.025

Commission = Rs 875

Finally, for the remaining amount (Rs 55,000 - Rs 50,000 = Rs 5,000):

Commission = 5,000 * 0.03

Commission = Rs 150

Total commission = Commission for up to Rs 20,000 + Commission for the amount between Rs 20,000 and Rs 50,000 + Commission for the remaining amount

Total commission = Rs 200 + Rs 875 + Rs 150

Total commission = Rs 1,225

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Answer:

x=35/78

Step-by-step explanation:

3/2x-11/5=(7/8)*(64/49)

3/2x-11/5=8/7

3/2x=8/7+11/5

3/2x=117/35

x=(35*3)/(2*117)

x=35/78

Answer:

Rotation of point through 90° about the origin in clockwise direction when point M (h, k) is rotated about the origin O through 90° in clockwise direction. The new position of point M (h, k) will become M’ (k, -h).

Answer:

1. List (in order) the five phases a single 2 solar mass will go through in its life.

2. List (in order) the five phases a single 25 solar mass will go through in its life.

3. List (in order) the five phases a single 60 solar mass will go through in its life.

Phase options (can be used more than once, some may not be used at all):

Type II Supernova

Protostar

White Dwarf

Giant Phase

Main sequence

Neutron Star

Brown Dwarf

Black Hole

Type 1a Supernova

Planetary Nebula

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plan A = 30 +0.15x

Plan B = 16 +0.20x

30+0.15x = 16+0.20x

subtract 16 from each side

14 +0.15x = 0.20x

subtract 0.15x from each side

14=0.05x

x = 14/0.05 = 280 minutes

280*0.15 = 42 +30 = $72

280 * 0.20 = 56 +16 = 72

280 minutes and cost $72 each

The value of sin (θ + π/3) given cos θ = - 5/11 and that is in quadrant II, to the nearest hundredth is approximately (√96 - 5√3)/22.

To find the value of sin (θ + π/3) given cos θ = -5/11 and θ is in quadrant II, we can use the trigonometric identity sin (θ + π/3) = sin θ * cos (π/3) + cos θ * sin (π/3). Here's the step-by-step process:

Step 1: Determine the value of sin θ using the Pythagorean identity sin²θ + cos²θ = 1:

sin θ = √(1 - cos²θ) = √(1 - (-5/11)²) = √(1 - 25/121) = √(96/121) = √96/11.

Step 2: Calculate the value of cos (π/3) and sin (π/3):

cos (π/3) = 1/2,

sin (π/3) = √3/2.

Step 3: Substitute the known values into the trigonometric identity:

sin (θ + π/3) = sin θ * cos (π/3) + cos θ * sin (π/3)

sin (θ + π/3) = (√96/11) * (1/2) + (-5/11) * (√3/2)

sin (θ + π/3) = √96/22 - 5√3/22

sin (θ + π/3) = (√96 - 5√3)/22.

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Answer:

Last option is the correct answer.

Step-by-step explanation:

By sine rule..

\( \huge \frac{ \sin \: 45 \degree}{22} = \frac{ \sin \: 63 \degree}{e} \\ \)

Answer: 4

Step-by-step explanation: 756 and 1008 are not factors of any of them, 48 isn't a factor of 28 or 36