All categories

2 years ago

Is 9999 in the sequence n²+2n?

Mathematics

1 answer:

Tamiku [17]2 years ago

8 0

Answer:

Step-by-step explanation:

To find out, all we need to do is plug in 9999 into the sequence.

$9999 = n^2 + 2n$

By completing the square, we get $(n+1)^2 = 1001$ . 1001 is not a perfect square, which means that 9999 is not in the sequence.

hope this helped! :)

You might be interested in

A company pays 12% commission on sales less than $7,000.00. 14% commission on sales

aleksandrvk [35]

Answer:

The total commission is: $840 + $1,120 + $672 = $2,632

Step-by-step explanation:

Multi-Level Commissions

For sales less than $7,000, a company pays a 12% commission.

For sales between $7,000 and $15,000, the company pays 14%.

For sales greater than $15,000, the company pays 15%.

Let's calculate the commission on sales of $19,480.

For the first $7,000, the commission is:

12*7,000/100 = $840

The remaining sales base is now $19,480-$7,000 = $12,480

For the portion of $8,000 between $7,000 and $15,000, the commission is:

14*$8,000/100 = $1,120

The remaining sales base is now $12,480 - $8,000= $4,480

This portion gets the final 15%:

15*$4,480/100 = $672

The total commission is: $840 + $1,120 + $672 = $2,632

4 0

3 years ago

(8.64x10^6) + (1.334x10^10)

marta [7]

(8.64x10^6) + (1.334x10^10)
=1.334864 x 10^10

4 0

3 years ago

Divide 7/24 by 35/48 and reduce the quotient to the lowest fraction

tiny-mole [99]

$\frac{7}{24}$ ÷ $\frac{35}{48}$
Multiply $\frac{7}{24}$ by the reciprocal of $\frac{35}{48}$ , which is $\frac{48}{35}$

= $\frac{7}{24}$ × $\frac{48}{35}$
= $\frac{336}{840}$

We can simplify it further:
The greatest common factor here is 168
$\frac{336/168}{840/168}$

= $\frac{2}{5}$

4 0

3 years ago

What is the square root

shusha [124]

Answer:

Step-by-step explanation:

Trying to factor as a Difference of Squares :

1.1 Factoring: r2-96

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2

Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 96 is not a square !!

Ruling : Binomial can not be factored as the difference of two perfect squares.

Equation at the end of step 1 :

r2 - 96 = 0

Step 2 :

Solving a Single Variable Equation :

2.1 Solve : r2-96 = 0

Add 96 to both sides of the equation :

r2 = 96

When two things are equal, their square roots are equal. Taking the square root of the two sides of the equation we get:

r = ± √ 96

Can √ 96 be simplified ?

Yes! The prime factorization of 96 is

2•2•2•2•2•3

To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).

√ 96 = √ 2•2•2•2•2•3 =2•2•√ 6 =

± 4 • √ 6

The equation has two real solutions

These solutions are r = 4 • ± √6 = ± 9.7980

Two solutions were found :

r = 4 • ± √6 = ± 9.7980

Processing ends successfully

4 0

3 years ago

A local little league has a total of 90 players of whom 20% are left-handed. How many left-handed players are there? Please help

german

18

First you want to change the 20% into a decimal which is .20
Next you want to multiply 90 by .20 because that will give you the answer for 20% of 90
90x.20=18

Hope that helps

7 0

3 years ago

Is 9999 in the sequence n²+2n?​

Is 9999 in the sequence n²+2n?