20 Points!!! Lisa writes 15 pages of a research paper. If she has written 75% of her goal, what is the total number of pages that she wants to write?

Answer:

One convergence criteria that is useful here is that, if aₙ is the n-th term of this sequence, then we must have:

Iaₙ₊₁I < IaₙI

This means that the absolute value of the terms must decrease as n increases.

Then we must have:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}}[/tex]

We can write this as:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2 )^{n+1}}{(n + 1)*3^{n+1}} = \frac{(x -2)^n}{(n + 1)*3^n} * \frac{(x - 2)}{3}[/tex]

If we assume that n is a really big number, then:

n + 1 ≈ 1

And we can write:

[tex]\frac{(x -2)^n}{n*3^n} > \frac{(x -2)^n}{(n)*3^n} * \frac{(x - 2)}{3}[/tex]

Then we have the inequality

[tex]1 > (x - 2)/3[/tex]

And remember that this must be in absolute value, then we will have that:

-1 < (x - 2)/3 < 1

-3 < x - 2 < 3

-3 + 2 < x < 3 + 2

-1 < x < 5

The first option looks like this, but it uses the symbols ≤≥, so it is not the same as this, then the correct option will be the second.

Answer:

15

Step-by-step explanation:

fifteen is half of 30

Answer:

7

Step-by-step explanation:

Since the smaller triangle is similar to the larger, then its' sides are in the same proportion. So:

1/2=2x-6/16

Then:

4x-12=16

4x=28

x=7 ........................

Adding and subtracting with negative numbers

First, recognize that adding and subtracting are, from one viewpoint, the same thing. Subtracting a number is the same thing as adding the negative of that number. For example, 4 – 12 is the same as 4 + –12 (which, because the order of terms doesn't matter with addition, is the same as –12 + 4). With that in mind, here are the rules for adding with negative and positive numbers:

If both numbers are positive, then the answer is positive.

If both numbers are negative, then the answer is negative.

If the numbers have different signs, the answer takes the sign of the higher number.

Subtracting a negative number is the same as adding the positive of that number. For example, 5 – –4 is the same as 5 + 4.

Multiplying and dividing with negative numbers if the numbers have different signs, the answer is negative.

Answer:

-951

Step-by-step explanation:

an=a1+(n−1)d

\begin{gathered}29 = a_1 + (1-1)d\\29 = a_1\\9 = 29 + (2-1)d\\9 = 29 + d\\d = -20\\a_n = 29 -20 (n-1)\\a_n = 29 - 20n+20\\a_n = -20n + 49\\\\a_51 = -20(51) + 49 = -951\end{gathered}29=a1+(1−1)d29=a19=29+(2−1)d9=29+dd=−20an=29−20(n−1)an=29−20n+20an=−20n+49a51=−20(51)+49=−951

The 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.

It is given that:

The sequence is:

29, 9, -11

The above sequence represents an arithmetic sequence:

The common difference d = 9 - 29

d = -20

The first term a = 29

Divergent sequences are those in which the terms never stabilize; instead, they constantly increase or decrease as n approaches infinity, approaching either infinity or -infinity.

The nth term of the AP:

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

a(n) = 29 + (n - 1)[-20]

a(n) = 29 -20n +20

a(n) = 29 -20n +20

a(n) = 49 - 20n

Plug n = 51

a(51) = 49 - 20(51)

a(51) = -971

Thus, the 51st term of the arithmetic sequence 29,9,-11 is -971 or a(51) = -971.

Learn more about the sequence here:

brainly.com/question/21961097

#SPJ2

Answer:

yo done so easy

Step-by-step explanation:

Answer:

.89

Step-by-step explanation:

.89 is greater because it is closer to a whole than .4, which makes .89 greater.

Answer:

what?

Step-by-step explanation:

Answer:

y= 1/4

Step-by-step explanation:

Answer:

y=-7/8

Step-by-step explanation:

-4y-10=4y-3

add 10 on both sides

-4y=4y+7

subtract the four on the right from both sides

-8y=7

divide -8 on both sides

answer: -7/8

Answer:

Option B

Step-by-step explanation:

Domain of a function is represented by the set input values or x-values

Range of the function is represented by the set of output values or y-values.

From the graph attached,

y-values are varying from y = - 9 to y = 8.

Therefore, range of the function from the given graph will be,

-9 ≤ y ≤ 8

Option B will be the correct option.

Answer:

CCCC.

Step-by-step explanation:

Answer:45

Step-by-step explanation:

Key Word:of

30*2/3 = 45

Answer:

Step-by-step explanation:

let the number be x.

then,

2/3 of x = 30

=> 2/3x = 30

=> x = 30 × 3/2

=> x = 45

so, the required number is 45 .

hope it helps...!!!

Answer:

23 + 17 = 40 :)

Answer:

Step-by-step explanation:

Scott has 144 pieces of candy

25% is one 4th

144/4=36

he gives to his sister 36

Answer:

Scott gives his sister 36 peices of candy

Step-by-step explanation:

Answer:

4.

Step-by-step explanation:

y = -2x + 3

-1 = -2(2) + 3

-1 = -4 + 3

-1 = -1

y = x - 3

-1 = 2 - 3

-1 = -1

[tex]7p + 6q - 2p + q \\ = (7p - 2p) + (6q + q) \\ = 5p + 7q[/tex]

Answer:

5p+7q is the answer

Step-by-step explanation:

Answer:

Step-by-step explanation:

this is the solve for the first q. only sorry

Answer:

true

Step-by-step explanation:

because it is

Answer:

True

Step-by-step explanation:

Answer:

not enough information

Answer:

It's 0.6

Step-by-step explanation:

Answer:

Step-by-step explanation:

the table is not copied correctly, I assume

the mail carrier will travel a distance of 15x

Answer:

5/4 is rational , 100 square root is irrational , 7.3 rational , 0.00247 is rational , 4/9 square root is irrational ,2/24 square root is irrational and 0.01 is rational :)

Answer:

r=-1/2

Step-by-step explanation:

(-5*-1/2=2.5)( 2.5-1=1.5) (7x -1/2= -3.5)-3.5+5 =1.5

Answer:

y-intercept = (0, 8)

axis of symmetry= -b/2a

Step-by-step explanation:

Also when you want something to be squared use this symbol ^

Answer:

Its D

Step-by-step explanation:

0.02 ($1,444.50)

Answer:

D

Step-by-step explanation: