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Oksi-84 [34.3K]
3 years ago
6

The nth term of the sequence is n^2 + 20 How many terms in the sequence are less than 50

Mathematics
1 answer:
Alex Ar [27]3 years ago
6 0

Answer:

5 terms

Step-by-step explanation:

nth term of the sequence =n^2 + 20

an= n^2 + 20

1st term when n= 1

1^2 + 20= 20

2nd term n= 2

2^2 + 20=24

3rd term when n= 3

3^2 + 20= 29

4th term when n= 4

4^2 + 20= 36

5th term when n= 5

5^2 + 20 =45

6th term when n= 6

6^2 + 20=56

Hence, terms in the sequence are less than 50 are first 5 terms

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What is the solution of the system of linear equations below?
Kipish [7]

Answer:

A is the correct answer

Step-by-step explanation:

To get the fastest answer for these kind of questions, you just have to apply (0, -2) into either one of the 2 equations:

2 * 0 - 6 * (-2) = 12

0 - (-12) =12

0 + 12 = 12  (TRUE)

So the solution will be (0, -2)

6 0
4 years ago
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The equation P=4s represents the perimeter P of a square with side length s. What is the perimeter of a square with a side lengt
PilotLPTM [1.2K]

Answer:

20 feet

Step-by-step explanation:

s= side

P= 4s

I our case, s is 4, so 4*5 is 20.

Hence,

P=20

Hope this helps!

6 0
2 years ago
Is 78.50 is the same as 78.5
s2008m [1.1K]

Answer:

<h2>yes, 78.50 is the same as 78.5</h2>

<u>Step-by-step explanation:</u>

You can consider 78.50 as 78.5, cause we basically remove the 0 from it.  The whole point is, they are both the same.

8 0
2 years ago
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A box with an open top will be constructed from a rectangular piece of cardboard. The piece of cardboard is 10 inches wide and 1
kupik [55]

Answer:

Domain of the function is  { x : x∈R, x>0 } or (0,∞).

Step-by-step explanation:

It is given that the dimensions of a rectangular piece of cardboard are

Length = 14 inch

Width = 10 inch

The box will be constructed by cutting out equal squares of side x at each corner and then folding up the sides. So the dimensions of the box are

Length = 14-2x inch

Breadth = 10- 2x inch

Height = x inch

The volume of cuboid box is

V=length\times breadth \times height

The volume function of the box is

V=(14-2x)\times (10-2x)\times x

V=(14-2x)(10-2x)x

The volume function is V=(14-2x)(10-2x)x.

It is a polynomial function and domain of a polynomial function is all real numbers.

Here, x represents the height of the box. So, value of x must be a positive real number.

Domain of the function is

Domain = { x : x∈R, x>0 }

It can be written as (0,∞).

Therefore, domain of the function is  { x : x∈R, x>0 } or (0,∞).

5 0
3 years ago
What is the output value of (4x+2)(x-5)/2 using input value of x=2
Firdavs [7]

Answer:

-15

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Step-by-step explanation:

<u>Step 1: Define</u>

(4x + 2)(x - 5) / 2

x = 2

<u>Step 2: Evaluate</u>

  1. Substitute:                             (4 · 2 + 2)(2 - 5) / 2
  2. Parenthesis - Multiply:          (8 + 2)(2 - 5) / 2
  3. Parenthesis - Add:                10(2 - 5) / 2
  4. Parenthesis - Subtract:         10(-3) / 2
  5. Multiply:                                 -30 / 2
  6. Divide:                                    -15
6 0
3 years ago
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