All categories

3 years ago

Is there a pattern behind prime numbers?

Mathematics

2 answers:

yKpoI14uk [10]3 years ago

8 0

Answer:

Numbers that can be multiplied by itself and 1 only are called prime numbers.

Step-by-step explanation:

Numbers that can be multiplied by itself and 1 only are called prime numbers.

Trava [24]3 years ago

7 0

Answer:

A clear rule determines exactly what makes a prime: it's a whole number that can't be exactly divided by anything except 1 and itself. But there's no discernible pattern in the occurrence of the primes. ... That's because after the number 5, there are only four possibilities — 1, 3, 7 and 9 — for prime last digits

Step-by-step explanation:

You might be interested in

The following data are from a completely randomized design.

taurus [48]

Sorry I need the 2 answers to ask my own. I wouldn’t of understood this wnywyas. Hopefully you find someone who can do it

5 0

3 years ago

Last week Fred had eleven dollars. He washed cars over the weekend and now has fifty - three dollars. How much money did he make

EastWind [94]

Answer:

$42

Step-by-step explanation:

I did 53 minus 11 which is 42.

Cheers,

Yeet

5 0

3 years ago

Read 2 more answers

The object on the right is made from a square-based pyramid joined to a cuboid.

spayn [35]

Answer:

Density of steel = 80.73 gm/ $cm^3$

Step-by-step explanation:

The figure is made up of cuboid and square pyramid.

Height of cuboid, h = 9 cm

Length of cuboid, l = 6 cm

Width of cuboid, w = 6 cm

Volume of cuboid is given by the formula:

$V_{Cuboid} = l \times w \times h$

$V_{Cuboid} = 6 \times 6 \times 9\\\Rightarrow V_{Cuboid} = 324\ cm^3$

Density of Wood , $D_{Cuboid}$ = 0.68g/ $cm^3$

We know that formula of Density is:

$Density = \dfrac{Weight}{Volume}$

$D_{Cuboid} = \dfrac{W_{Cuboid}}{V_{Cuboid}}\\\Rightarrow W_{Cuboid} = V_{Cuboid} \times D_{Cuboid}$

Putting the values:

$W_{Cuboid} = 324 \times 0.68 = 220.32\ gm$

Total weight = $W_{Cuboid} + W_{Pyramid}$

970 = 220.32 $+ W_{Pyramid}$

$W_{Pyramid}$ = 749.68 gm

Volume of pyramid is given as:

$V_{Pyramid}= \dfrac{1}{3} \times \text{Area of Base} \times \text{Vertical Height}$

Base is a square with side 6 cm

$V_{Pyramid}= \dfrac{1}{3} \times 6 \times 6 \times (17 -9)\\V_{Pyramid}= 96\ cm^3$

Density of Steel/Pyramid:

$D_{Pyramid} = \dfrac{W_{Pyramid}}{V_{Pyramid}}\\\Rightarrow D_{Pyramid} = \dfrac{749.68}{96}\\\Rightarrow D_{Pyramid} = 80.73\ gm/cm^3$

5 0

3 years ago

Solve for x in the equation below(all in picture).

EleoNora [17]

Answer:

x = - 5, x = 2

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ( $\frac{x}{y}$ )

$log_{b}$ x = n ⇔ x = $b^{n}$

note that log x = $log_{10}$ x

Given

log (x² + 3x) - log10 = 0, then

log( $\frac{x^2+3x}{10}$ ) = 0, thus

$\frac{x^2+3x}{10}$ = $10^{0}$ = 1 ( multiply both sides by 10 )

x² + 3x = 10 ( subtract 10 from both sides )

x² + 3x - 10 = 0 ← in standard form

(x + 5)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 2 = 0 ⇒ x = 2

Solution is x = - 5, x = 2

6 0

3 years ago

Read 2 more answers

Factorise 6x^2 + 11x + 4

zysi [14]

(3x+4)(2x+1)

If the question asks you to find roots/solutions:

3x + 4 = 0
3x = -4
x = -1.33333333

2x + 1 = 0
2x = -1
x = -0.5

4 0

3 years ago

Read 2 more answers