what can be used to show the rank order and shape of a data set simultaneously

Answer:

below

Step-by-step explanation:

x = one angle and the other = 2x

solve this to find 'x'   and  '2x'

x + 2x + 66  = 180         because all of the angles of a triangle = 180

The named terms in the sequence are a₂₂ = -66, a₃₇ = -1050 and a₂₃ = 32

Sequence 1

From the question, we have the following sequence that can be used in our computation:

18,14,10,6,

In the above sequence, we can see that the 4 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = 18

d = -4

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 22nd term, we have

a₂₂ = 18 + (22 - 1) * -4

Evaluate

a₂₂ = -66

Sequence 2

Here, we have

30,0,-30,-60,

In the above sequence, we can see that the 30 is subtracted from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = 30

d = -30

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 37th term, we have

a₃₇ = 30 + (37 - 1) * -30

Evaluate

a₃₇ = -1050

Sequence 3

Here, we have

-34,-31,-28,-25,

In the above sequence, we can see that the 3 is added from the previous term to get the current term

Using the above as a guide,

So, we have the following representation

a₁ = -34

d = 3

The nth term can be represented as

aₙ = a₁ + (n - 1)d

For the 23rd term, we have

a₂₃ = -34 + (23 - 1) * 3

Evaluate

a₂₃ = 32

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The scatter plot is given by the image at the end of the answer, and the exponential function of best fit is given by:

y = 10000(1.0513)^x.

The scatter plot is built inserting all the points of the data-set in a graph, which are in the following input-output format:

(time in years, balance in dollars).

Hence the points for this problem are given as follows:

(5, 12840), (10, 16487), (15, 21170), (20, 27183), (25, 34903), (30, 44817).

From the graph given at the end of the answer, we can see that the function is exponential.

The exponential function of best fit is found inserting the points into a calculator, and is given as follows:

y = 10000(1.0513)^x.

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Answer:

[tex]y-2=3(x-4)[/tex]

Step-by-step explanation:

We are given a line contains the point (4, 2).

We also know that the line is parallel to y= 3x - 7.

We want to write the equation of this line.

Parallel lines have the same slopes.

First, let's find the slope of y = 3x - 7.

3 is in the place of where m (the slope) is, so that means it is the slope of that line.

It is also the slope of the line whose equation we want to write.

The equation of the line can be written in three ways:

All of these ways are valid, but for this problem, let's write the equation in point-slope form, as it is the easiest.

Substitute 3 as m in [tex]y-y_1=m(x-x_1)[/tex].

[tex]y-y_1=3(x-x_1)[/tex]

Now, substitute 4 as [tex]x_1[/tex] and 2 as [tex]y_1[/tex].

[tex]y-2=3(x-4)[/tex]

Topic: parallel and perpendicular lines

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a) The amount of the required down payment is $42,750.

b) The mortgage amount after the down payment is $242,250.

c) The monthly payment for both principal and interest is $1,416.17.

The down payment refers to the upfront cash payment made to reduce the cost of the home.

After deducting the down payment from the home price the result is the loan amount.

Monthly payments pay part of the loan amount the computed interest.

The monthly payments and the down payment can be determined with an online finance calculator.

Home Price = $285,000

Down Payment = 15%

Loan Term = 25 years

Interest Rate = 5%

Monthly Pay:   $1,416.17

Loan Amount $242,250 ($285,000 - $42,750)

Down Payment = $42,750 ($285,000 x 15%)

Total of 300 Mortgage Payments = $424,851 ($1,416.17 x 300)

Total Interest = $182,601

Thus, after making a down payment of $42,750 cash, Anna will be making monthly payments of $1,416.17 for 300 months.

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Answer: [tex]\frac{1}{40}[/tex] or 0.025

Step-by-step explanation:

[tex]\frac{5}{32}[/tex] ÷ [tex]\frac{25}{4}[/tex] = [tex]\frac{5}{32}*\frac{4}{25} =\frac{5}{4(8)} *\frac{4}{5(5)} =\frac{1}{40}[/tex]

The cost of the first lesson based on the information is E. $80.

From the information, the cost of the first lesson is twice the cost of each additional lesson. Let the others lesson b represented by x.

The first lesson will be: = 2 × x = 2x

Since there are 8 lessons, this will be:

First lesson + Other lesson = Cost

2x + (7 × x) = 360

2x + 7x = 360

9x = 360

Divide

x = 360/9

x = 40

Therefore, first lesson will be:

= 2x

= 2 × 40

= 80

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The graph represents a function is graph a

A function is a relationship between two sets or groups that maps each one of the elements contained in the first set to exactly one of the elements of the second set.

The graph a is a linear function, in which when we take any x value or y value, it gives the x and y value.

Hence, The graph that is a function is graph a.

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I'm not sure but I'd say 31