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3 years ago

Is the number 5 prime, composite, or neither?

Mathematics

2 answers:

Serggg [28]3 years ago

8 0

Answer:

It is a prime number.

Step-by-step explanation:

It is only divisible by 1 and itself. In order to be classified as a prime number, it must only be divisible by 2 factors, itself and 1.

OlgaM077 [116]3 years ago

3 0

Answer:

A number that is divisible only by itself and 1

therefore 5 is a prime number

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Find the length of side x to the nearest tenth

navik [9.2K]

Answer:

x = 2 sqrt(3)/3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 60 = 1 /x

x sin 60 =1

x = 1 /sin 60

x = 1 / sqrt(3)/2

x = 2 sqrt(3)/3

3 0

3 years ago

If you can solve it.Thanks in advance

vivado [14]

Answer:

$f(g(x))=\frac{1}{(x^{2}+1)^{2}} +\sqrt[3]{x^{2}+1}$

Step-by-step explanation:

we have

$f(x)=x^{2} +\frac{1}{\sqrt[3]{x}}$

$g(x)=\frac{1}{x^{2}+1}$

we know that

In the function

$f(g(x))$

The variable of the function f is now the function g(x)

substitute

$f(g(x))=(\frac{1}{x^{2}+1})^{2} +\frac{1}{\sqrt[3]{(\frac{1}{x^{2}+1})}}$

$f(g(x))=\frac{1}{(x^{2}+1)^{2}} +\sqrt[3]{x^{2}+1}$

4 0

3 years ago

onsider the following problem: A box with an open top is to be constructed from a square piece of cardboard, 3 ft wide, by cutti

Sholpan [36]

Answer:

V (max) = 2 ft³

and x side of the base is x = 0,5 feet

Step-by-step explanation: See annex ( two different cubes)

We have a square piece of cardboard of 3 inches wide

Let x be lenght of side to cut in each corner

Then the base of the (future cube) is 3 - 2x, and the area is

( 3 - 2x )²

And the height is x Then volume of the cube as a function of x is:

V(x) = ( 3 - 2x )² *x or V(x) = ( 9 + 4x² - 12x )*x

V(x) = 4x³ - 12x² + 9x

Taking derivatives on both sides of the equation

V´(x) = 12x² - 24x + 9

V´(x) = 0 12x² - 24x + 9 = 0 simplifying 4x² - 8x + 3 = 0

Second degree equation solving for x

x₁,₂ = [ 24 ± √( 576) - 432 /24

x₁,₂ = [24 ±√144 ]/24

x₁,₂ = ( 24 ± 12) /24 x₁ = 1.5 feet x₂ = 0,5 feet

Of these two values we have to dismiss x₁ because if x = 1.5 we don´t have a cube ( 0 height )

Then we take x = 0,5 feet

And

V (max) = (2)²*0,5 = 4*0,5

V (max) = 2 ft³

5 0

4 years ago

What is the value of x?

Anarel [89]

Answer: 5

Step-by-step explanation:

By the inscribed angle theorem.

$\frac{9}{15}=\frac{2x-1}{3x}\\\\27x=30x-15\\\\-3x=-15\\\\x=5$

4 0

2 years ago

Answer the question below. The Smiths want to buy a 9 ft. by 12 ft. carpet and center it in a 15 ft. by 20 ft. room. What is the

schepotkina [342]

The perimeter of the carpet is determined by its dimensions so the dimensions of the room are irrelevant to the question.

P=2(x+y) where x and y are the dimensions, here x and y equal 9 and 12 ft so

P=2(9+12)

P=2(21)

P=42 ft

8 0

3 years ago

Read 2 more answers