An inductive proof that p(n) is true for all n always starts with the base case. what is the base case?

Answer:

Firstly, you need to divide by 36! That'll tells you how many yards there are. Then, divide the remainder by 12! That'll tells you how many feet are there. The final remainder tells you the number of inches!

Answer: 10440165 ==> sum of sequence

Step-by-step explanation:

4569+1=4570

4570/2=2285==> Average number in the sequence

4569-1+1=4569 numbers in the sequence. I find the number of numbers in the sequence by subtracting the last number in the sequence by the first number in the sequence (4569-1) and adding 1 to the difference.

2285*4569=10440165 ==> sum of sequence

The ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.

In mathematics, Ratio is a term that is used to compare two or more numbers.

Given that their are 20 sports drinks in a cooler out of which 8 are orange flavored. Therefore, we can write that -

Number of orange flavored bottles = n[O] = 8

Total number of bottles = n[T] = 20

We can calculate the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler as follows -

Total number of non - orange flavored bottles will be -

n[C] = n[T] - n[O]

Now, the ration of non - orange bottles to the total number of bottle's can be written as -

n[C] / n[T]

(n[T] - n[O]) / n[T]

(20 - 8) / 20

12 / 20

3 / 5

Assume that the ratio is denoted by R. Therefore -

R = 3 : 5

Hence, the ratio of sports drinks that are not orange-flavored to all the sports drinks in the cooler is 3 : 5.

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Answer Seven hundred and thirty thousand eight hundred twelve

Answer:Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .Stretch by a factor of 3, shift 3 units left, and down 5 units. Shift 9 unit up .

Step-by-step explanation:

Answer:

1.5

2.1/5

Step-by-step explanation:

Answer:

smallest to largest will be:

437.05 , 437.15, 437.49, 437.5, 437.55

Step-by-step explanation:

an easier method i use is to simply check the 1st digit rhat comes after the decimal point if the whole numbers are similar.

in a case where there is only one number after the decimal while the rest have 2, for example 437.5, simply add a 0 to make it even as the rest

Answer: Yes

Step-by-step explanation: can be written as 6 17/50

Answer: yes because its a terminating number

Answer:/

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

The perimeter of the figure is 53.7.

Perimeter can be defined as the total distance around a object.

To calculate the perimeter of the the figure below, we use the formula below.

Formula:

From the diagram,

Given:

Substitute these values into equation 1

Hence, the perimeter of the figure is 53.7

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In a recent poll, 64% of the respondents supported stricter gun laws is statistic.

What is an example of a parameter?

What is an example of a population parameter?

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Error control, flow control, segmentation and reassembly, multiplexing, and connection setup are five tasks that a layer can perform.

Flow control: It is the efficient management of data flow between two or more devices like computers or nodes of a network.

Error control: The identification and correction of errors that occur during the transmission of data is called error control.

Segmentation and reassembly: Data to be transmitted is divided into small parts or chunks for convenience. This process is called segmentation. The combining of these chunks to reform the original data is called reassembling.

Multiplexing: The process of combination of digital data streams in one signal over a shared medium is known as multiplexing.

Connection setup: Establishing a connection between two devices that are connected to the same network is called connection setup.

All these tasks can be duplicated at different layers.

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3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

Open circle is a term used for numbers that are less than (<) or greater than (>). On the other hand, Closed circle is used for numbers that are less than or equal to (≤ ) and greater than or equal to (≥).

Here, we are given four inequalities, let us check them one by one-

A. h + 6 > -3h + 12

⇒ 4h > 6

or h > 3/2

Here, we see that there is no equality sign, this means that 3/2 won't be included and hence h + 6 > -3h + 12 would be an open circle inequality.

B. 7 ≥ d/3

⇒ d ≤ 21

Here, we can clearly see the equality sign which means that 21 will be included. Hence, 7 ≥ d/3 would not be graphed with an open circle.

C. 3(x - 2) < 18

x - 2 < 6

x < 8

Here, we see that there is no equality sign, this means that 8 won't be included and hence 3(x - 2) < 18 would be graphed with an open circle.

D. 2y ≤ 14

y ≤ 7

Here, we can clearly see the equality sign which means that 7 will be included. Hence, 2y ≤ 14 would not be graphed with an open circle.

Thus, 3(x - 2) < 18 and h + 6 > -3h + 12 would be graphed with an open circle.

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Answer:2 beacuse if u divide 4 by 2 and 6 by 2 u get 2/3

Step-by-step explanation:

The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft. Length and width of the rectangle is [tex]10ft[/tex] and [tex]3ft[/tex]

As per the question statement, The length of the given rectangle is 4ft more than twice the width. The perimeter of the particular rectangle is 26ft.

We are supposed to find out dimensions of the rectangle.

Let length of the rectangle = l

Width of the rectangle = w

[tex]l = 4 + 2w[/tex]

Perimeter of rectangle = [tex]2(l+w)[/tex]

Above mentioned are the given conditions in the linear equation form.

Perimeter of rectangle = [tex]2(l+w)[/tex] = 26 ft.

[tex]l+w = \frac{26}{2}[/tex]

[tex]l+w =13[/tex]

substituting [tex]l = 4 + 2w[/tex]

[tex]4+2w+w=13\\4+3w=13\\3w=13-4=9\\w=\frac{9}{3}[/tex]

[tex]w=3[/tex]

Hence width is 3ft.

Now length,  [tex]l = 4 + 2w[/tex]

[tex]l=4+2*3\\l=4+6\\l=10[/tex]

And length is 10ft.

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The equation of the modified graph is y = (x + 6)^2

The equation of the graph is given as

y = x^2

The graph is shifted to the left by 6 units

This is represented as:

(x, y) = (x + 6, y)

So, we have

y = (x + 6)^2

Hence, the equation of the modified graph is y = (x + 6)^2

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Answer:

6 Hours = 0.0357 Weeks

Rounding off o nearest hundredth we get
=> 0.36

All done!

Answer:

Step-by-step explanation:

Answer:

65

Step-by-step explanation:

180 -( 95 + 20 )

=180 - 115

= 65

a) The distance of the plane from the airport is approximately 781.025 miles.

b) The bearing of the airplane in standard position is approximately 320.194°.

Let the location of the airport be the origin and the orthogonal axes are oriented to the east and north, respectively. Beside, let consider that the plane moves at constant speed. a) Thus, the distance of the plane can be found by using the Pythagorean Theorem:

d = √[[(240 mi / h) · (2.5 h)]² + (500 mi)²]

d ≈ 781.025 mi

b) And the bearing in standard position is determined by the following inverse trigonometric function:

θ = tan⁻¹ [(- 500 mi) / [(240 mi / h) · (2.5 h)]]

θ ≈ 320.194°

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Number of At-the-Door tickets Anna needs to sell to make her goal = 100

Anna is selling pre-sale and at-the-door tickets.

Let 'x' be the number of pre-sale tickets and 'y' be the number of at-the-door tickets.

Price of a pre-sale ticket = $10

Price of an at-the-door ticket = $20

Total price to be raised = $5000

So the equation corresponding is 10x+20y = 5000-----------(1)

Total number of people the venue can hold = 400

Thus the next equation is x+ y = 400---------(2)

From the graph the line with points (0,250) and (500,0) represent the equation (1) since 10 x 0 + 20 x 250 = 5000 and 10 x 500 + 20 x 0 = 5000.

The line with points (0,400) and (400,0) represent the equation (2) as 0+400 = 400 and 400+0 = 400.

So to find x and y we need to solve equations (1) and (2).

10 x (2) ⇒ 10x+10y = 4000-------(3)

Now subtract (3) from (1)

⇒ 10y = 1000

⇒ y = 100

Hence the number of At-the-Door tickets Anna needs to sell to make her goal = 100

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The intersection of two plans is represented by the pair of equations y = 1, z = 7. The set of points is (0,1,7) and the line is parallel to the x axis.

In geometry, a plane is a flat plate which extends in all directions to infinity.

Now, as per the question;

Consider the following equation.

y = 1 denotes a vertical plane in the xy plane.

Z = 7 denotes a horizontal plane parallel to the xy plane.

Both planes intersect and are perpendicular to each other.

y = 1 and z=7 is the intersection of two plans where x is zero and y = 1 and z = 7.

Therefore, the points are (0,1,7), and also the line is parallel to the x axis.

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Answer: The symbol ∈ indicates set membership and means “is an element of” so that the statement k∈R means that k is an element of the set R. In other words, k is one of the objects in the collection of (possibly many) objects in the set R.

The manufacturing company has decided to be carbon free by 2030. so, it can reduce its pollution rate by using environmentally friendly equipment to achieve this goal.

Pollution:

The term pollution refers any substance that negatively impacts the environment or organisms that live within the affected environment.

Given,

A manufacturing company has decided to be carbon free by 2030.

Here we need to find the solution to achieve this goal.

To achieve this goal the company can take many measures this includes,

To completely switching to alternative sources of energy. The company can reduce its pollution rate by using environmentally friendly equipment.

By making maximum use of renewable energy in the company, in which energy can be emitted using solar energy, windmill etc.

And by planting more and more trees, the amount of oxygen in our environment should be increased.

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Fixed-Width is data format does each column start and end at the same place in every row.

What do statisticians mean by nominal data?

Nominal data have a quality?

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Answer: 6y^3 +4x

Step-by-step explanation:

collect like terms

2x + x + x + 2y * 3y *y

so

6y^3 +4x

Answer:

Step-by-step explanation:

2x + x + x + 2y  ( 3 )yy

2x + x + x + 6y 3

2x  +  x  +  x  +  6y3

( 6y3 ) + ( 2x + x + x)

6y3  +  4x

Answer:

1) 60 miles per hour (60.00, if rounded)

2) 152 customers per day (150, if rounded)

3) 3.5 meters per second (3.50, if rounded)

4) 1.48 dollars per pound (1.48, if rounded)

5)  0.4825 dollars per pair (0.48, if rounded)

( shown work in screenshots, 1-5; magnify it to see better :D )