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3 years ago

Here are some numbers: 4 6 7 15 21 Which number is a prime number?

Mathematics

2 answers:

Ludmilka [50]3 years ago

6 0

Answer:

Step-by-step explanation:

all prime numbers are 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97, 101, 103, 107, 109, 113, 127, 131, 137, 139, 149, 151, 157, 163, 167, 173, 179, 181, 191, 193, 197, 199,

o-na [289]3 years ago

6 0

Answer:

Step-by-step explanation:

Prime numbers have a factor of 1 and itself.

4 is not prime because it has a factor of 2.

6 is not prime because it has factors 2 and 3.

7 is prime, it has 1 and 7 as its factors.

15 is not prime, it has factors of 3 and 5.

21 is not prime, it has factors of 3 and 7.

The only prime number from the list is 7, because the only factors it has is 1 and itself.

You might be interested in

Find the product (2x+5)^3 . Write your answer in standard form

seropon [69]

Formula for this case is

(a+b)∧3=a∧3+3a∧2b+3ab∧2+b∧3

(2x+5)∧3=(2x)∧3+3*(2x)∧2*5+3*2x*5∧2+5∧3=8 x∧3+3*4x∧2*5+3*2x*25+125=

=8x∧3+60x∧2+150x+125

Good luck!!!

5 0

4 years ago

Two sides of a triangle have lengths of 14 and 29.

ch4aika [34]

Answer: 15<x<43

Step-by-step explanation:

7 0

3 years ago

I need help on c and d please

Dennis_Churaev [7]

We can't really do this without seeing 28, but I can give you an educated guess. The best way for me to proceed is to solve c.

The conjecture is that x = a + b. You should always find that to be true. C is the clincher.

Here's how you do that.

x + c = 180o That's true because all straight lines have 180o. If two angles make up the straight line that means that they are always equal to 180o So x + c = 180o

Now we move to the next step. All triangles also have 180o. That means that a + b + c = 180o

So we have two conditions that equal 180o. Equalities can be equated to one another.

a + b + c = x + c Subtract c from both sides.

a + b = x.

Study what has happened. Put in mathese, the two remote interior angles equal the exterior angle, which is what you are trying to prove.

Summary

a cannot be solved without 28

b you should say that the two remote angles (a and b) will always total x

c The proof is provided for you.

3 0

3 years ago

A bedroom is in the shape of a rectangle. The length of the bedroom is represented by 3x^2 and the width is represented by 7x+14

pentagon [3]

The area of the room that is not covered by the rug is: $21x^3+26x^2-24x+9$

Step-by-step explanation:

Let L be the length of the room

and

W be the width of the room

Then

L = 3x^2

W = 7x+14

Area of the bedroom:

$A_r = L*W\\=3x^2(7x+14)\\=21x^3+42x^2$

Area of Rug:

Let S be the side of rug

S = 4x+3

$A_{rug} =S^2\\=(4x+3)^2\\=(4x)^2+2(4x)(3)+(3)^2\\=16x^2+24x+9$

The area of the room that is not covered by the rug will be obtained by subtracting the area of the rug from the area of the room.

So,

$Area\ of\ room\ not\ covered\ by\ rug =A_r - A_{rug}\\= 21x^3+42x^2-(16x^2+24x+9)\\=21x^3+42x^2-16x^2-24x-9\\=21x^3+26x^2-24x+9$

Hence,

The area of the room that is not covered by the rug is: $21x^3+26x^2-24x+9$

Keywords: Rectangle, square

Learn more about area at:

#LearnwithBrainly

6 0

3 years ago

Iding a go-kart costs $10 on Saturday and Sunday and $5 on Monday through Friday. Is the cost a function of the activity type? E

Vsevolod [243]

Answer:

Answer is No, ITS NOT.

Refer below.

Step-by-step explanation:

There are two different cost of the same activity i.e. $10 on Saturday and Sunday and $5 on Monday through Friday, So it wouldn't be a function.

3 0

4 years ago