Evaluate the expression: (–2)2 + (–4)2 + (18 – 23).
A. –19
B. 19
C. –17
D. 3

a) The n-th term in the sequence is the product of the first n natural numbers:

1 • 2 = 2

1 • 2 • 3 = 6

1 • 2 • 3 • 4 = 25

1 • 2 • 3 • 4 • 5 = 120

and so on. Recursively, the n-th term is a function of the (n - 1)-th term as

a(n) = n a(n - 1)

b) Using the rule above, the 6th and 7th terms are

a (6) = 6 a (5) = 6 • 120 = 720

and

a (7) = 7 a (6) = 7 • 720 = 5040

We want to find a recursive formula for the given sequence and then find the next terms in the given sequence.

the solutions are:

a) Aₙ = n*Aₙ₋₁

b) A₆ = 720 and A₇ = 5,040

We start with the sequence:

1, 2, 6, 24, 120, ...

a) Let's find the recursive formula.

If Aₙ represents the n-th term in the sequence, then we have:

A₁ = 1

A₂ = 2 = 2*1 = 2*A₁

A₃ = 6 = 3*2 = 3*A₂

A₄ = 24 = 4*6 = 4*Aₐ

A₅ = 120 = 5*24 = 5*A₄

So we can see the pattern, the recursive formula is just:

Aₙ = n*Aₙ₋₁

b) We want to find the sixth and the seventh terms of the sequence, we can use the recursive formula we got above.

A₆ = 6*A₅ = 6*120 = 720

A₇ = 7*A₆ = 7*720 = 5,040

The sixth term is 720 and the seventh term is 5,040

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Answer:

112

Step-by-step explanation:

80/5 = 16

16 each hour

16 ( 7 )

= 112

Hope this helps dude

Answer:

$426.36

Step-by-step explanation:

0.54 * 789.56 = 426.3624

hope this helps, pls mark brainliest :D

If you take 54% of the amount of $789.56, the resulting value would be $426.83.

As we know that percentage is a ratio that is stated as a fraction of 100.

To determine 54% of $789.56, we follow these steps:

Convert 54% to decimal form by dividing it by 100.

54% = 54 ÷ 100 = 0.54

Multiply the decimal value (0.54) by the dollar amount ($789.56).

0.54 × $789.56 = $426.8324

Round the result to two decimal places.

Rounding $426.8324 to two decimal places gives us $426.83.

Therefore, 54% of $789.56 is approximately $426.83.

This means that if you take 54% of the amount of $789.56, the resulting value would be $426.83.

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Answer:

-1

Step-by-step explanation:

Answer:

Step-by-step explanation:

y= -5x/2+1

Answer:

y = -1

Step-by-step explanation:

hopefully it helped

Answer:

hundred thousands and millions

Answer:

77°

Step-by-step explanation:

there's a rule, look it up

Answer:

[tex]A=x^3-14x+8[/tex]

Step-by-step explanation:

Given that,

Length of a rectangle, [tex]l=(x^2- 4x+2)[/tex]

Width of a rectangle, [tex]b=(x+4)[/tex]

We need to find the area of the rectangle.

We know that,

Area of a rectangle = l × b

Substituting all the values,

[tex]A=(x^2- 4x+2)\times (x+4)\\\\=x^3+4x^2-4x^2-16x+2x+8\\\\=x^3-14x+8[/tex]

Hence, the area of the rectangle is [tex]x^3-14x+8[/tex].

Answer:

i guess its B 105.000

Step-by-step explanation:

|•-•|

Answer:

96

Step-by-step explanation:

24*4=96

Answer:

lol never see

Step-by-step explanation:

this kind o questions

Answer:

i know this isnt suppose to be here or any of that but this needs to be stop any where...ok now that i have your attention everyone needs to know this people all over the world are burning bibles LETS STOP THIS because that is so disrepecful that people are doing that to the bible and thats hurting jesus and gods heart LETS STOP THIS BURNING BIBLE STUFF pls copy and paste this and share the word so we can stop this.

Step-by-step explanation:

Answer:

the answer is a

Step-by-step explanation:

Answer:

$309

Step-by-step explanation:

Answer:

1 and 2 ?

one is even the other is odd

Answer:

Step-by-step explanation:

Answer:

No

we are unsure about the unknown values of x and y

Step-by-step explanation:

9514 1404 393

Answer:

  x = 6

Step-by-step explanation:

The two angles are marked as being equal, so the line down the middle of the triangle is an angle bisector. An angle bisector divides the sides of the triangle proportionally, so you can write the proportion ...

  x/12 = 5/10

  x = 12(5/10) . . . . multiply by 12

  x = 6

Answer: (-2ab^3)(-3a^2b^5)

Simplifying

(-2ab3)(-3a2b5)

Remove parenthesis around (-2ab3)

-2ab3(-3a2b5)

Remove parenthesis around (-3a2b5)

-2ab3 * -3a2b5

Reorder the terms for easier multiplication:

-2 * -3ab3 * a2b5

Multiply -2 * -3

6ab3 * a2b5

Multiply ab3 * a2b5

6a3b8

Step-by-step explanation: hope this helped you and have a blessed wonderful day.

Answer:x

≥

−

7

Step-by-step explanation:

Answer:

Inequality Form: x ≤ -1

Interval Notation: (−∞,−1]

Answer:

This is a pretest, which is so you know what you don't know

so you shouldn't do this

Step-by-step explanation:

but just a hint, what is tangent?

Answer:

What is the answer to I love my pet / ages 5-6

What is the answer to I love my pet: aww, u mean it?

ages 5-6: goo goo ga ga

Answer:

I suppose it has 4 digits.

Step-by-step explanation:

The fractional equivalent of the repeating decimal would be 15/99.

Step-by-step explanation:

Solution

( b - a )^ - 3 = ( 5-4 )^ - 3 = ( 1 )^ - 3 = 1

The value of expression is, 2

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Expression is,

⇒ (b - a)⁻³c

And, a = 4, b = 5 , c = 2

Now, We can simplify as;

⇒ (5 - 4)⁻³ × 2

⇒ 1 × 2

⇒ 2

Thus, The value of expression is, 2

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Answer:

x = 9

Step-by-step explanation:

The question is shown in the attached figure.

We can see that, (8x + 5)°  and (13x – 14)° forms a linear pair. It would mean that,

(8x + 5)° + (13x – 14)° = 180°

21x-9 = 180°

21x = 180° + 9

21x = 189

x = 9

Hence, the value of x is 9.