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3 years ago

Which ordered pair would form a proportional relationship with the point graphed below?

Mathematics

1 answer:

eimsori [14]3 years ago

3 0

Answer:

i only know that its (30,30) i think thats one of them hope this helps

Step-by-step explanation:

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Sequence: 49, 36, 25, 16, 8, 4, 1 * Is this a arithmetic or geometric sequence? and if it is arithmetic find the common differen

timurjin [86]

Answer:

Step-by-step explanation:

The sequence is nor properly written. This is correct sequence

49, 36, 25, 16, 9, 4, 1...

Merely looking at the sequence, we can see that it doesn't form an arithmetic sequence nor does it form a geometric sequence.

The values of the sequence are all perfect squares.

Rewriting the sequence;

7², 6², 5², 4², 3², 2², 1²...

Now we can see that the base values for an arithmetic sequence as shown:

7, 6, 5, 4, 3, 2, 1...

We find the common difference of this sequence as shown

d = T2-T1 = T3-T2 = T4-T3

Given T1 = 7, T2 = 6, T3 = 5, T4 = 4

Substitute

d = 6-7 = 5-6 = 4-5 = -1

d = -1

Get the nth term using the sequence

Tn = a+(n-1)d

a is the first term

d is the common difference

n is number of terms

Tn = 7+(n-1)(-1)

Tn = 7+(-n+1)

Tn = 7+1-n

Tn = 8-n

Since their power are constant i.e squared, hence we will square the ntj term as well to get the nth term of the original sequence as;

Tn = (8-n)²

To conclude, we can say that the sequence is neither arithmetic nor geometric sequence since the terms of the sequence are prefect squares.

3 0

3 years ago

A new fitness center opened up with 24 clients. Each week they are signing up an average of 5 new members. The business owner wr

zhannawk [14.2K]

This A(n) = (24 members) + 5(members/week)(n-1) is correct, provided that we define the domain as [1, infinity). Thus, if n=1, A(1) = 24 + 5(0) = 24, which is correct.

3 0

4 years ago

you are draining a fish pond. The amount Y in liters of water remaining after X hours is y equals -60x + 480 a graph the equatio

Sergeu [11.5K]

Answer:

The graph in the attached figure

see the explanation

Step-by-step explanation:

Let

x----> the time in hours

y ----> liters of water remaining in the fish pond

we have

$y=-60x+480$

This is the equation of a line in slope intercept form

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

The slope or unit rate is equal to

$m=-60\ \frac{liters}{hour}$ ----> is negative because is a decreasing function

The y-intercept or initial value is

$b=480\ liters$

The graph in the attached figure

Remember that

The y-intercept is the value of y when the value of x is equal to zero

The y-intercept is the point (0,480)

That means----> The initial amount of liters of water in the fish pond was 480 liters before drainage began (for x=0 hours).

The x-intercept is the value of x when the value of y is equal to zero

The x-intercept is the point (8,0)

That means----> The time required to empty the fish pond is 8 hours (for y=0 liters)

7 0

3 years ago

Can someone please help me with this

Lady bird [3.3K]

Answer:

$b = 6 \sqrt{3}$

Step-by-step explanation:

Please see the attached picture for the full solution.

6 0

3 years ago

3.3.3.3.3^2 <br> Write the expression as a single power

Nimfa-mama [501]

Answer:

I think

Step-by-step explanation:

I think its 3 ^7 but i could be wronf

8 0

3 years ago