What is the formula for the nth term for the following sequence?

12, 9, 6, 3, ...

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Answer:

6

Step-by-step explanation:

[tex]12 \times 1 \frac{1}{2} [/tex]

[tex]12 \times \frac{1}{2} [/tex]

[tex] = 6[/tex]

Answer:

1523797

Step-by-step explanation:

Have a good day, hope I helped

Answer:

1,523,797

Step-by-step explanation:

734,839 + 788,958

= 1,523,797

Answer:

X = 111°

I hope it's helps you

Answer:

8.15×10^5

Step-by-step explanation:

8.15×10^5

8.15×100000

815000

Answer:

[tex]38[/tex] and [tex]68[/tex].

Step-by-step explanation:

Let [tex]x[/tex] be the smaller one of the two number.

[tex]x[/tex] must be a positive integer. The other number would be [tex](x + 30)[/tex].

The question states that the product of the two numbers is [tex]2584[/tex]. In other words:

[tex]x\, (x + 30) = 2584[/tex].

Rearrange this equation and solve for [tex]x[/tex]:

[tex]x^{2} + 30\, x - 2584 = 0[/tex].

The first root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) + \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= \frac{(-30) + \sqrt{900 + 10336}}{2} \\ &= \frac{(-30) + \sqrt{11236}}{2} \\ &= \frac{(-30)}{2} + \sqrt{\frac{11236}{2^{2}}} \\ &= (-15) + \sqrt{2809} \\ &= (-15) + 53 \\ &= 38 \end{aligned}[/tex].

Similarly, the second root of this quadratic equation would be:

[tex]\begin{aligned}x_{1} &= \frac{(-30) - \sqrt{30^{2} - 4 \times (-2584)}}{2} \\ &= (-15) - 53 \\ &= -68\end{aligned}[/tex].

Since the question requires that both numbers should be positive, [tex]x > 0[/tex]. Therefore, only [tex]x = 38[/tex] is valid.

Hence, the two numbers would be [tex]38[/tex] and [tex](38 + 30)[/tex], which is [tex]68[/tex].

9514 1404 393

Answer:

  38 and 68

Step-by-step explanation:

Let x represent the average of the two numbers. Then their product is ...

  (x -15)(x +15) = 2584

  x^2 = 2584 +225 = 2809 . . . . . . use relation (x -a)(x +a) = x^2 -a^2; add a^2

  x = √2809 = 53

Then the two numbers are ...

  53 +15 = 68

and

  68 -30 = 38

The two numbers are 38 and 68.

_____

Additional comment

Solving the problem in this way is equivalent to writing the quadratic equation for the smallest (or largest) number and solving that by completing the square. The "solution" x = -53 is not relevant in this problem.

Answer:

x = 20

y = 26

Step-by-step explanation:

40 and 2x are vertical angles, so they're equal to each other.

40 = 2x

Divide both sides by 2

x = 20

We see that 40 and 5y + 10 are a linear pair, which means they add up to 180.

5y + 10 + 40 = 180

5y + 50 = 180

5y = 130

y = 26

Answer:

B. Because statistics can be applied to every field of study

Answer:

It is -80

Step-by-step explanation:

u just subtract

Answer:

2W + 56 = 78 , W = 10

Step-by-step explanation:

perimeter of rectangle = 2*the Length + 2*the Width

Answer:

2400.036 or 4.875 × 10^5

Step-by-step explanation:

Answer:

8 and -3

Step-by-step explanation:

We need to list several factors of -24 that add up to 5.

After trying several possibilities we ge

8 x (-3) =24 and

8 + (-3) = 5

Answer:

m∠5= 130°

Explanation:

If lines A and B are parallel we can assume that the angles in the same locations are equal

Answer:

130 is the answer

Step-by-step explanation:

Well it's definitely obtuse (look at the photo)

I hope I helped!

I hope you get the green tick.

Please mark Brainliest if you do!

Answer:

Answer:

Step-by-step explanation:

A translation moves a shape up, down or from side to side but it does not change its appearance in any other way.

Here also, triangle ABC and triangle A'B'C' are equal only position is changed

Answer:

Unreduced: (4) + (5 • x) + (-9) + (4 • x)

Reduced: 9x – 5

Answer:

0

Step-by-step explanation:

You can't divide anything by zero

0÷0=

=0

Answer:

[tex]y = - 9x \\ theny = 2x + 33 \\ - 9x = 2x + 33 \\ - 9x - 2x = 33 \\ - 11x = 33 \\ x = \frac{ - 33}{11} = - 3 \\ x = - 3 \\

then\\ y=-9×-3=21\\ thank \: you[/tex]

Step-by-step explanation:

[tex]8 {x}^{3} - 5 {x}^{2} + x + 2 \div {x}^{2} [/tex]

[tex]8 {x}^{3} - 5 {x}^{2} + x + \frac{2}{ {x}^{2} } [/tex]

[tex] = \frac{8 {x}^{5} - 5 {x}^{4} + {x}^{3} + 2}{ {x}^{2} } [/tex]

Answer:

Step-by-step explanation:

Answer:

360

Step-by-step explanation:

240÷8days=30

30×12days=360

Answer:

Step-by-step explanation:

i dont know  but work hard

Answer: Prime

A polynomial is  prime    if its only factors over the integers are 1 and itself.

==============================================================

Explanation:

Think of the idea of factoring whole numbers like factoring 36 into 6*6 which further breaks down into (2*3)*(2*3) = 2^2*3^2. This shows that 36 is composite and not prime.

Something like 7 is prime because the only factors are 1 and itself.

This idea extends into polynomials as well.

Something like x^2+4x+4 factors to (x+2)(x+2) which shows it is not prime. On the other hand, the polynomial x^2+3x+5 is prime over the integers because we cannot factor it like the previous example. The only factors here are 1 and itself.

Factoring is handy to help determine roots of a polynomial. However, other tricks could be used such as the quadratic formula or using numerical approximation techniques.

Answer:

yes figures have the same perimeter

Step-by-step explanation:

The opposite sides of the rectangle are equal , then

perimeter = 2(x + 4) + 2x = 2x + 8 + 2x = 4x + 8

The square has 4 equal sides , then

perimeter = 4(x + 2) = 4x + 8

Then the figures have the same perimeter

Answer:

[tex] \frac{6}{7} [/tex]

Step-by-step explanation:

[tex] \frac{5}{7} - ( - \frac{1}{7} )[/tex]

[tex] \frac{5}{7} + \frac{1}{7} [/tex]

[tex] = \frac{6}{7} [/tex]

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Answer:

  7/8 in  (you are correct)

Step-by-step explanation:

The amount of nail that goes into the framing member is ...

  1 3/4 -3/8 -1/2

  = 1 6/8 -3/8 -4/8

  = 1 -1/8 = 7/8 . . . . inches

Step-by-step explanation:

-4^(-5)/ 2^(-3) =

2³/(-4)^5 =

8/(-1024) =

- 1/128 (d)

Answer:

Fred is 6

Jimmy is 17

Step-by-step explanation:

Jimmy's age =2x +5

Fred's age =x

x+2x+5=23

3x=23-5

3x=18

x=6

Jimmy's age =2(6)+5=17

Fred is 6