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spayn [35]
3 years ago
9

PLS HELP ASAP I WILL GIVE BRANERLIST PLUS 15 POINTS THE CHOSE ONES ARE WARMER AND COLDER BTWWWW

Mathematics
2 answers:
Svetllana [295]3 years ago
5 0

Answer:

Step-by-step explanation:

first is hotter and the second is colder

nikdorinn [45]3 years ago
4 0

Answer:

colder and warmer

Step-by-step explanation:

-13 is colder and -9 is warmer than -12

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Here are some values of sequence Q. Write a recursive definition for the sequence.
Rashid [163]

Answer: Q(n) = Q(n - 1) + 2.5

Step-by-step explanation:

We have 3 values of the sequence Q(n)

These values are:

Q(1) = 3

Q(3) = 8

Q(7) = 18

I would think that this is a geometric sequence.

Remember that the equation for the n-th term of a geometric sequence is:

A(n) = A(1)*r^(n-1)

where r is a constant, and A(1) is the first term of the sequence.

If we rewrite the terms that we know of Q(n) in this way we get:

Q(3) = Q(1)*r^(3 - 1) = 3*r^2 = 8

Q(7) = Q(1)*r^(7 - 1) = 3*r^6 = 18

Then we have two equations:

3*r^2 = 8

3*r^6 = 18

We should see if r is the same for both equations:

in the first one we get:

r^2 = 8/3

r = (8/3)^(1/2) = 1.63

and in the other equation we get:

r^6 = 18/3

r = (18/3)^(1/6) = 1.34

Then this is not a geometric sequence.

Now let's see if this is an arithmetic sequence.

The n-th term of an arithmetic sequence is written as:

A(n) = A(1) + (n - 1)*d

where d is a constant.

If we write the terms of Q(n) that we know in this way we get:

Q(3) = Q(1) + (3 - 1)*d = 3 + 2*d = 8

Q(7) = Q(1) + (7 - 1)*d = 3 + 6*d = 18

We need to see if d is the same value for both equations.

in the first one we get:

3 + 2*d = 8

2*d = 8 - 3 = 5

d = 5/2 = 2.5

In the second equation we get:

3 + 6*d = 18

6*d = 18 - 3 = 15

d = 15/6 = 2.5

d is the same for both terms, then this is an arithmetic sequence.

An arithmetic sequence is a sequence where the difference between any two consecutive terms is always the same value (d)

Then the recursive relation is written as:

A(n) = A(n - 1) + d

Then the recursive relation for Q is:

Q(n) = Q(n - 1) + 2.5

4 0
3 years ago
What is the quotation -3/8 divided by -1/4
Bumek [7]

Answer:

3/2

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is the slope of a line that passes through the points (–3, 2) and (–6, 5)?
lilavasa [31]

Answer:

-1

Step-by-step explanation:

just do y2-y1 over x2-x1.

8 0
2 years ago
What is the slope of the line
Andru [333]

Answer:

The slope of the line is the ratio of the rise to the run, or rise divided by the run.

Step-by-step explanation:

HOPES THIS HELP :)

5 0
2 years ago
The sum of two numbers is 56. One number is 3 times as large as the other. What are the numbers?
MissTica
42 and 14

explanation:

x+y = 56
x = 3y

Substitute for x in the first equation:
x + y = 56
x = 3y
3y + y = 56
Combine like terms:
4y = 56
Divide both sides by 4:
y = 14

So if y = 14, and x = 3y, then x = 42.

Now substitute for both x and y in both of the original equations to prove they are the correct values.

x + y = 56
x = 42
y = 4
42 + 14 = 56
56 = 56

x = 3y
x = 42
y = 14
42 = 3*14
42 = 42

So the two numbers, x and y, are 42 and 14.
8 0
2 years ago
Read 2 more answers
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