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ZanzabumX [31]
2 years ago
11

The nth term of a sequence is n2 + 5 (a) (i) Find the first two terms of this sequence. (ii) Is 126 a term of this sequence? You

must show how you get your answer​
Mathematics
1 answer:
GREYUIT [131]2 years ago
3 0

Answer:

126 is a term in the sequence.  Please check my assumption on the correct formula.

Step-by-step explanation:

I will assume that n2 + 5 is actually n^2 + 5.

Starting with n=0, use the formula to calculate successive values of n.  The attached table is the result of n from 0 to 22.  At n=11, the result is 126, so 126 is a term in the sequence.

If the expression is actually n2 + 5, calculate the values for y = 2n + 5.  126 would not be a term in this sequence.

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use the slope formula to calculate the slope of the line that contains the two points (-4,0) and (5,2)​
Solnce55 [7]

Answer:

\frac{2}{9} x

Step-by-step explanation:

To find slope using two points you need to find the difference in x and y. You use \frac{y_{2}-y_{1}}{x_{2}-x_{1} }

So, 2-0=2 and 5-(-4)=9. Therefore the slope is 2/9x

3 0
3 years ago
Find the highest common factor of 20 and 28
Vlad [161]
20: 1,2,4,5,10,20
28: 1,2,4,7,14,28
4 0
3 years ago
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A rocking horse has a weight limit of 60pounds. What percentage of the weight limit is 33 pounds? What percentage of the weight
bixtya [17]

Answer:

The percentage is <u>55%</u> when weight limit is 33 pounds.

The percentage is <u>190%</u> when weight limit is 114 pounds.

The 95% of the limit weighs <u>57</u> pounds.

Step-by-step explanation:

Given:

Weight limit of rocking horse = 60 pounds.

We need to find:

a) What percentage of the weight limit is 33 pounds.

b)What percentage of the weight limit is 114 pounds.

c) What weight is 95% of the limit.

Now Solving for a we get;

Weight limit = 33 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{33}{60}\times100 = 55\%

Hence The percentage is <u>55%</u> when weight limit is 33 pounds.

Now Solving for b we get;

Weight limit = 114 pounds

Now percentage of the weight limit can be calculated by dividing given weight limit with total weight limit and then multiplying by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{114}{60}\times100 = 190\%

Hence The percentage is <u>190%</u> when weight limit is 114 pounds.

Now Solving for c we get;

Percentage Weight = 95%

Now Amount of weight limit can be calculated by multiplying Percentage weight limit with total weight limit and then Dividing by 100 we get;

framing in equation form we get;

percentage of the weight limit = \frac{95}{100}\times60 = 57 \pounds

Hence The 95% of the limit weighs <u>57</u> pounds.

4 0
4 years ago
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Elena-2011 [213]

Answer:

A)2/1

Step-by-step explanation:

the x is one apart ans it whent up 2 to the right 1

5 0
3 years ago
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Select all of the situations that represent a linear relationship between x and y.
Harrizon [31]

Answer:

Linear relationship always produces a straight line and are without exponential.

Lets check all the given options:

1. the total area, in square meters, y, of a square garden if the side length is x meters.

The area of a square is

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This is not linear.

2. the height, y, of a 6-foot tree that grows 0.2 feet per month for x months

The equation forms:

When x = 1

When x = 2

=>

When x = 3

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3. the total cost, y, of a ski rental from a company that charges $15 plus an additional $8 per day rented for x days

The equation forms:

When x = 1

When x = 2

=>

When x = 3

=>

This is also linear.

4. the total miles, y, traveled by a car going 62 miles per hour in x hours

The equation forms:

When x = 1

When x = 2

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When y = 3

=>

This is also linear in nature.

Read more on Brainly.com - brainly.com/question/12747906#readmore

6 0
4 years ago
Read 2 more answers
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