What is the constant of proportionality shown in the table?

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The nth term of the arithmetic series can be defined as hₙ = 4n - 2.

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

If the initial term of a sequence is 'a' and the common difference is of 'd', then we have the arithmetic sequence as:

a, a + d, a +  2d, ... , a + (n+1)d, ...

The nth term of an arithmetic sequence is given by the formula,

aₙ = a₁ + (n-1)d

Since the first term of the arithmetic sequence is 2, while the difference is 4. Therefore, the definition for the nth term of arithmetic sequence,h can be written as,

hₙ = 2 + (n-1)4

hₙ = 2 + 4n -4

hₙ = 4n - 2

Hence, the nth term of the arithmetic series can be defined as hₙ = 4n - 2.

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If no train has more than 25 seats. Then the number of cars in the first, second, and third train will be 17, 18, and 20 respectively.

Division means the separation of something into different parts, sharing of something among different people, places, etc.

Three trains are made of identical train cars, so each car has the same number of seats.

The first train has 418 seats, the second train has 456 seats, and the third train has 494 seats.

If no train has more than 25 seats.

Then the number of the cars on each train will be

Let x, y, and z be the number of the cars in the first, second, and third train.

Then we have

x = 418 / 25

x = 16.75

x ≅ 17

y = 456 / 25

y = 18.24

y ≅ 18

z = 294 / 25

z = 19.76

z ≅ 20

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Answer:

11 cars in the 1st train, 12 cars in the 2nd train and 13 cars in the 3rd train

Step-by-step explanation:

There is a difference of 38 between the numbers 418, 456 and 494.

[tex]418/38=11\\456/38=12\\494/38=13[/tex]

Trust me, this is 100% the correct answer!

hope this helps!

Answer: y = ± [tex]\frac{4}{3}x[/tex]

Step-by-step explanation:

Just believe it, it's the right one. I don't know how to explain it.

Answer:

Certain and likely.

Answer:

Step-by-this may be done by rearranging the equation. First, we start with the given equation:

0.05*10 = 0.5

In order to form a division equation, we may divide both sides by one of the terms being multiplied on the left-hand side. Let us divide by 10. By doing so, we get:

0.05 * 10 / 10 = 0.5/10

0.05  = 0.5/10ep

explanation:

By finding the roots of the polynomial, we conclude that the correct graph is the second one.

Here we have the polynomial:

[tex]f(x) = x^3 + x^2 - 2x[/tex]

To identify it, we need to find the roots, we can rewrite the equation as:

[tex]f(x) = x*(x^2 + x - 2)[/tex]

And we can rewrite the last part by using the Bhaskara's formula:

[tex]x = \frac{-1 \pm \sqrt{1^2 + 4*2} }{2} \\\\x = (-1 \pm 3)/2[/tex]

Then the roots are:

x = -2

x = 1

Then we rewrite:

[tex]f(x) = x*(x + 2)*(x - 1)[/tex]

So the roots are at x = 0, x = -2, and x = 1.

The graph with these roots is the second graph (top right).

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If the distance between the origin and the points on the path of rotation is equal, the origin will be the center of rotation for any system.

Center of rotation is the point about which the rotation takes place. this point is equidistant from all points in the path of rotation.

We are asked to verify that the center of rotation is the origin.

In this case, the center of rotation will be equidistant from all the points in the locus of rotation. So, the distance between the origin and any point on the path of rotation will be equal.

Thus, if the distance between the origin and the points on the path of rotation is equal, origin will be the center of rotation for any system.

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The correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thermoelectric generators are semiconductor solid-state devices that convert a temperature difference and heat flow into a usable DC power source.

The Seebeck effect is used to create voltage in thermoelectric generator semiconductor devices. This voltage is used to drive electrical current and generate usable power at a load.

From the statement given, it is a thermoelectric generator because a thermoelectric power generator transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

Thus, the correct answer is thermoelectric generator because it transfers heat to electricity directly or converts electrical energy to thermal power for heating or cooling.

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Answer:

No, because if a cone and a cylinder have bases with equal areas, and both have identical heights, then the volume of the cone is one-third the volume of the cylinder.

Answer:

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4) ⇒ y = 1/5x + 7

Step-by-step explanation:

Let's substitute each pair in the equations to find the right one :

(6, 1)

⇒ 1 = 2/4 (6) - 2

⇒ 1 = 3 - 2

⇒ 1 = 1

⇒ Equation matched √

(6, 1) ⇒ y = 2/4x - 2

(-8, -0.8)

⇒ -0.8 = 1/5 (-8) + 7

⇒ -0.8 = -8/5 + 7

⇒ -0.8 = -1.6 + 7

⇒ -0.8 = 5.4

⇒ Incorrect equation ×

⇒ -0.8 = 3/5 (-8) + 4

⇒ -0.8 = -24/5 + 4

⇒ -0.8 = -4.8 + 4

⇒ -0.8 = -0.8

⇒ Equation matched √

⇒ (-8, -0.8) ⇒ y = 3/5x + 4

(9, 0.7)

⇒ 0.7 = 3/10 (9) - 2

⇒ 0.7 = 27/10 - 2

⇒ 0.7 = 2.7 - 2

⇒ 0.7 = 0.7

⇒ Equation matched √

⇒ (9, 0.7) ⇒ y = 3/10x - 2

(2, 7.4)

⇒ 7.4 = 1/5 (2) + 7

⇒ 7.4 = 2/5 + 7

⇒ 7.4 = 0.4 + 7

⇒ 7.4 = 7.4

⇒ Equation matched √

⇒ (2, 7.4) ⇒ y = 1/5x + 7

Answer:

See below ~

Step-by-step explanation:

Solving for F

Finding F when K = 310.15 K

I hope this will help you a lot

The height of the parallelogram whose area is 72 mm² with a base of 9 mm is calculated as: 8 mm.

The area of a parallelogram = base × height of the parallelogram.

Given the following:

9 × height = 72

Height of parallelogram = 72/9

Height of parallelogram = 8 mm.

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Answer:

Step-by-step explanation:

How many solutions are in 18+6x=20+6x

18+6x=20+6x

take away 6x from both side

18 = 20

the equation has no solution, 18 is not 20.

Answer:

The age group that recorded the highest number of children is 7.

Step-by-step explanation:

We can clearly can see from the graph, that the 7 year old age group has 5 children, which is more than the rest of the age groups.

Hope this helps:) Goodluck!

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer: D

Step-by-step explanation:

A function is an expression that show the relationship between two or more numbers and variables.

Periodic functions are functions that repeat themselves over regular intervals. That is they have periods.

The periods of the functions such sine, cosine, secant and cosecant is 2π; while for tangent and cotangent, the period is π.

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Answer:50%

Step-by-step explanation: there is no real answer to your question because 50%is not there

The statements about the design that are true are:

As we can see the distance from the sprinklers head to the walkway is more than one grid and length of one grid is 3 feet, so each sprinkler is placed more than 3 feet from the walkaway.

The radius of the area watered by each sprinkler = 1.5 grid = 1.5×3 = 4.5 feet. So area watered by each sprinkler = π×r² = (3.14)(4.5)² = 63.58 ≈ 63.6 feet². Area watered by one sprinkler = 63.6 feet², therefore total area covered by four sprinklers = 4×63.6 = 254 feet²

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Answer:

A&C&D

Step-by-step explanation:

Trust

Answer:

C

Step-by-step explanation:

11 | 2   means    112

A is wrong because 11 | 2 cannot mean 12.

B is wrong because stem with value 1 doesn't exist.

D is wrong because stems and leaves are not added to give real value.

Hope this helps!

Answer:

2[tex]\pi[/tex]

Step-by-step explanation:

Answer:

option 1

Step-by-step explanation:

The radius of a unit circle is 1 and its diameter is 2 . π can be defined as the ratio of the circumference of a circle to its diameter, hence the circumference of the unit circle is 2π . In general the circumference of a circle of radius r is 2πr

Answer:

2x/z+y

Step-by-step explanation:

Answer:

x = 74 degrees

Answer:

74 degrees

Step-by-step explanation:

Remember that CO interior angles equal to 180 degrees so what you need to simply do is do 180 minus 106 degrees giving you 74 degrees as your answer

Answer:

the rate of change from 4 to 8 is 4

Step-by-step explanation:

you can find this by subtracting the first number from the secone number and if the two numbers were in a diffrent order being 8 and 4 the answer would still be 4 because when you subtract 8 from 4 you ger-4 but with rate of change you always use the absolute value

hope this helped

Answer:

52 hours

Step-by-step explanation:

figure it out genius

An online store ships 15 orders every 5 hours. It will take approximately 52 hours to ship 156 orders at this rate.

Use the concept of ratio defined as:

A ratio indicates how many times one number contains another number. The ratio of two numbers is written as x : y, which is equivalent to x/y.

Where x and y are individual amounts of two quantities.

And, the Total quantity is given after combining as x + y.

Given that,

Online store ships packages at a rate of 15 orders every 5 hours.

We need to determine how many hours it will take to ship 156 orders.

The rate can be expressed as 15 orders per 5 hours or 15/5.

To figure this out,

Set up a proportion.

If the online store ships 15 orders every 5 hours,

Then the rate is 15 orders per 5 hours, or 15/5.

Now, let's set up the proportion:

15/5 = 156/x

To solve for x, cross multiply:

15x = 5(156)

Now, divide both sides of the equation by 15 to isolate x:

x =780/15

Calculating that out, x is equal to 52.

Hence, it will take approximately 52 hours to ship 156 orders at the given rate.

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The step that requires revision is step 1: set the compass width to the diameter of the circle

When a regular hexagon is to be inscribed in a circle, the first step is to place the compass on the circumference of the circle and create an arc.

On no occasion should the width of the compass equal the diameter of the circle.

The step 1 in the question shows that the compass width is set to the diameter of the circle.

This is wrong, and it needs to be revised.

Hence, the step that requires revision is step 1 and the correction is (a) In step 1, the compass width should be set to the length of BC.

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