Write a possible recursive rule and then find a7 for { 7,12,17,22,27}

Answers

Answer 1
Answer:

Start from 7, then add 5 each time.

a7 is 7 plus 30, or 37.


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Which hill described in the table is the steepest and why? Street. Horizontal distance vertical
(ft). Rise of
Street (ft)


Dixie hill. 100. 60
Bell hill. 100. 50
Liberty hill 100. 20

A. Dixie hill; it rises 5 feet for every 3 feet of horizontal travel.
B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.
C. Bell hill; it rises 2 feet for every 1 foot of horizontal travel.
D. Liberty hill; it rises 1 foot for every 5 feet of horizontal travel.

Answers

Answer:

Option: B

Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

Step-by-step explanation:

A slope with a greater absolute value indicates a steeper line.

so, we will find the slope of each of the hill to check the steepness of the road.

1)

Dixie Hill

Street            Horizontal distance              vertical Distance

Dixie hill          100                                           60            

The slope of the hill is:

Vertical distance/ Horizontal ditance

= 6/10=3/5

2)

Street            Horizontal distance              vertical Distance

Bell hill                   100                                      50  

slope=1/2

3)

Street            Horizontal distance              vertical Distance

Liberty hill              100                                      20  

slope=1/5

As slope of Dixie Hill is greater than the rest two.

Hence, option: B is correct.

B. Dixie hill; rises 3/5 foot for every 1 foot for every 1 foot of horizontal travel.

the answer is dixie hill A because 5 feet every 3 feet is pretty steep compared to 1 foot every 5 feet.

1. There are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. The first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. The line plot shows the differences after 10 rerandomizations. Determine whether the difference in the means of the two groups is significant based on the line plot. Explain your answer.

Answers

the answer is attached below

Answer:

the difference  in the means is not significant

Step-by-step explanation:

Let’s begin first by finding the difference between the means of the 2 groups.

Difference in means = 95% - 92% = 3%  Now  let’s look at  the line plot of the 10 rerandomizations.   On that plot, 4 of the randomizations have a difference of 3.  

Probability of having a difference of 3 = 4 / 10 *100%  = 40%  

So just by mixing up the scores from both classes and finding the difference between the mean of 2 randomly defined groups, there was a difference of 3 between the 2 means in 40%  of the trials.

Since this probability is so large, the difference in the means is not significant.  The line plot shows that it would be very likely that the difference in the means is just due to random chance

Which is true about the polynomial ?It is a binomial with a degree of 2.
It is a binomial with a degree of 3.
It is a trinomial with a degree of 2.
It is a trinomial with a degree of 3.

Answers

The polynomial y² – 3y + 12 is trinomial with a degree of 2. Therefore, option C is the correct answer.

The given polynomial is y² – 3y + 12.

What is polynomial?

An expression of more than two algebraic terms, especially the sum of several terms that contain differentpowers of the same variable(s).

Here, the polynomial y² – 3y + 12 is trinomial with a degree of 2

Therefore, option C is the correct answer.

To learn more about the polynomials visit:

brainly.com/question/11536910.

#SPJ5

Answer:

Step-by-step explanation:

 y^2 - 3y + 12

It has 3 terms (y^2) and (-3y) and (12)...therefore, it is a trinomial.

The degree of a polynomial with 1 variable is the highest exponent...so it has a degree of 2. But if it had more then 1 variable, it would be different.

answer is : trinomial with a degree of 2

2(4 + 2x) ≥ 5x + 5? please help

Answers

2(4 + 2x) ≥ 5x + 5

First, we will need to expand our problem. Expanding is basically removing the parentheses. To do this, we will look at the first part of the problem to begin with. 2(4 + 2x). Since parentheses usually mean multiplication, we can start with 2(4). So, 2 × 4 = 8. We'll do the same thing with 2(2), 2 × 2 = 4. 
8 + 4x \ge 5x + 5

Second, our next step is to subtract 4 from each side. We are trying to get the variable (x) on one side of the problem by itself. 
8 \ge 5x + 5 - 4

Third, we can now simplify (5x) + 5 - (4). I put parentheses around what we are going to focus on. Subtract 5x - 4 to get 1, which can be put as the variable (x). Now we have, x + 5.
8 \ge x + 5

Fourth, let's subtract 5 from each side now. This will set up 8 - 5 which equals 3. 
3 \ge x

Fifth, we can switch sides now to get the result of this problem.
x \le 3

Answer: x \le 3

A = bh; solve for h
h =

Answers

Answer:

The value of h is

h = A/b.

(4,?) is on the line 8x – 3y = -10. Find the other half of the coordinate

Answers

(4, ?) is on 8x - 3y = -10

The ? is the missing y coordinate.  (4, y) satisfies 8x - 3y = -10

8x - 3y = -10.      From point (4, y),  we would replace x = 4 in the equation below. y remains the unknown.

8*4 - 3y = -10

32 - 3y = -10

-3y = -10 - 32

-3y = - 42

y = -42/-3

y = 14
We need to plug 4 in place of x into the equation of the line and find the y-value.

8x - 3y = -10
8(4) - 3y = -10
32 - 3y = -10

Add 3y on both sides.

32 = -10 + 3y

Add 10 on both sides.

42 = 3y

Divide 3 on both sides.

y = 14

The point is (4, 14).