1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alina1380 [7]
3 years ago
13

State whether 25 prime, composite or neither

Mathematics
2 answers:
qaws [65]3 years ago
6 0

Answer:

Composite

Step-by-step explanation:

25 is an integer that is not a prime number (5 x 5 = 25), so it is a composite number

Gnesinka [82]3 years ago
5 0

Answer:

Composite number

Step-by-step explanation:

25 is a composite number

Because, 25 has factors other than 1 and 25 as well.

25 = 1 \times 5 \times 5

You might be interested in
If m A. <br> 25°<br> B. <br> 12.5°<br> C. <br> 37.5°<br> D. <br> 50°
chubhunter [2.5K]
It’s A because the angles are acute and thoses are 25
8 0
1 year ago
Find the nth term of the sequence 7,25,51,85,127​
olya-2409 [2.1K]

Let <em>a </em>(<em>n</em>) denote the <em>n</em>-th term of the given sequence.

Check the forward differences, and denote the <em>n</em>-th difference by <em>b </em>(<em>n</em>). That is,

<em>b </em>(<em>n</em>) = <em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>)

These so-called first differences are

<em>b</em> (1) = <em>a</em> (2) - <em>a</em> (1) = 25 - 7 = 18

<em>b</em> (2) = <em>a</em> (3) - <em>a</em> (2) = 51 - 25 = 26

<em>b </em>(3) = <em>a</em> (4) - <em>a</em> (3) = 85 - 51 = 34

<em>b</em> (4) = <em>a </em>(5) - <em>a</em> (4) = 127 - 85 = 42

Now consider this sequence of differences,

18, 26, 34, 42, …

and notice that the difference between consecutive terms in this sequence <em>b</em> is 8:

26 - 18 = 8

34 - 26 = 8

42 - 34 = 8

and so on. This means <em>b</em> is an arithmetic sequence, and in particular follows the rule

<em>b</em> (<em>n</em>) = 18 + 8 (<em>n</em> - 1) = 8<em>n</em> + 10

for <em>n</em> ≥ 1.

So we have

<em>a </em>(<em>n</em> + 1) - <em>a </em>(<em>n</em>) = 8<em>n</em> + 10

or, replacing <em>n</em> + 1 with <em>n</em>,

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8 (<em>n</em> - 1) + 10

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 1) + 8<em>n</em> + 2

We can solve for <em>a</em> (<em>n</em>) by iteratively substituting:

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 2) + 8 (<em>n</em> - 1) + 2] + 8<em>n</em> + 2

<em>a</em> (<em>n</em>) = <em>a </em>(<em>n</em> - 2) + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = [<em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> - 2) + 2] + 8 (<em>n</em> + (<em>n</em> - 1)) + 2×2

<em>a</em> (<em>n</em>) = <em>a</em> (<em>n</em> - 3) + 8 (<em>n</em> + (<em>n</em> - 1) + (<em>n</em> - 2)) + 3×2

and so on. The pattern should be clear; we end up with

<em>a</em> (<em>n</em>) = <em>a</em> (1) + 8 (<em>n</em> + (<em>n</em> - 1) + … + 3 + 2) + (<em>n</em> - 1)×2

The middle group is the sum,

\displaystyle 8\sum_{k=2}^nk=8\sum_{k=1}^nk-8=\frac{8n(n+1)}2-8=4n^2+4n-8

so that

<em>a</em> (<em>n</em>) = <em>a</em> (1) + (4<em>n</em> ² + 4<em>n</em> - 8) + 2 (<em>n</em> - 1)

<em>a</em> (<em>n</em>) = 4<em>n</em> ² + 6<em>n</em> - 3

4 0
3 years ago
12 chocolate bars for $22 or 20 chocolate bars for $33 use unit rate to determine the better buy.
jekas [21]
12c=22
6c=11
c=1 5/6
20c=33
c= 1 13/20
5/6 is about .83
13/20 is .65
12 chocolate bars for $22 is about $1.83 each
20 chocolate bars for $33 is $1.65 each

The 20 chocolate bars for $33 dollars has a better unit rate and is a better buy.
6 0
2 years ago
How many different lines of symmetry does a square have?
Sedaia [141]

Answer:

4

Step-by-step explanation:

8 0
1 year ago
If f(x) = -2x + 7, find f(8)
anastassius [24]

Answer:

-9

Step-by-step explanation:

You have to plug 8 into the formula for x. f(8) = -2(8)+7 = -16+7 = -9

5 0
3 years ago
Other questions:
  • What is the rate of change from 2<br> gallons to 4 gallons? Pls I need help!!
    7·1 answer
  • The coordinates of the vertices of quadrilateral PQRS are P(−4, 2) , Q(3, 4) , R(5, 0) , and S(−3, −2) .
    6·2 answers
  • What is the missing reason for the 5th step in the proof below?
    11·1 answer
  • If f(x) = x^2+ 3x + 5 what is f(3+h)?
    8·1 answer
  • 11. If triangle ABC is an isosceles triangle and triangle DBE is an equilateral triangle, find each missing
    7·2 answers
  • Bus A and Bus B leave the bus depot at 6 am.
    6·1 answer
  • Write ( 8 a^− 3 )^− 2/3 in simplest form.
    12·1 answer
  • Math help please urgent please help
    13·1 answer
  • HELP<br> evaluate the function: f(x)=-x^2-x+3<br> f(-4)<br> show steps please
    13·1 answer
  • E=3.8cos(110πt). Determine the period.
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!