All Answers 358087 Answers

Use the formula,

\(m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}=\frac{5-3}{1-0.5}=\frac{2}{0.5}=4\)

The slope of the line segment is 4.

I assume you mean whole numbers,

1+2+3+4+5+6+7+8+9+10=55

Let a,b,c,d be 4 numbers (constants)

\(\frac{a}{b}+\frac{c}{d}=\frac{ad+bc}{bd}\)

4(3x) + 17 + 4 + 2x = 301

12x + 17 +4 + 2x =301

14x=280 divide both sides by 14

x=20

what is 3/8 plus 5/12=19/24

Hello guest!

15*2+5*2,20+4+2.50

Point before dashes.

15 * 2 + 5 * 2.20 + 4 + 2.50

= 30 + 11 + 6.5

= 47.5

5*2+5*2,20+4+2.50 = 47.5

Greeting asinus :- )

 !

15*2 + 5*2,20 + 4*2.50 = 30 + 11 + 10 = 51

1. I cannot answer the first question.

2. Since order does not matter, we can arrange the order in any order. This is called a permutation.

\(30P12 = \frac{30!}{\left ( 30-12 \right ) !} \\ = \frac{30!}{18!} \\ = 41 430 393 164 160 000\)

∴ we have 41 430 393 164 160 000 ways.

Degrees and radians are both measures of angle.  360° = 2pi radians.

You can use radians with tan, sin and cos, but if you use a calculator you have to make sure it is in radian mode to do this.

The volume, v, is (4/3)pi*r^3  where r is radius, so here:  v = (4/3)*pi*(0.84*10^-15)^3 m^3  ≈ 2.483*10^(-45) m^3 ~ 10^-45 m^3

The energy, E, is E = 14*1.602*10^-19*10^12 J  ≈  2.243*10^(-6) J ~ 10^-6 J

So  Energy density = 10^-6/10^-45 ~  10^39 J/m^3

Is this meant to be 1/(x-2) + 2/(x-1) = 6/x  ?

If so, multiply all terms by x(x-1)(x-2) to get   x(x-1) + 2x(x-2) = 6(x-1)(x-2)

Simplify:  x^2 - x + 2x^2 - 4x = 6x^2 -18x +12

Collect like terms   3x^2 -5x = 6x^2 -18x +12

Subtract 3x^2 from and add 5x to both sides:    0 = 3x^2 - 13x +12 

This factors as (3x - 4)(x - 3) = 0  

So  x = 4/3  and  x = 3

THANKS :D 

You can multiply all terms by -1 to get y = 0.5x - 2

.

There is a cubed button on the calculator on the home page here!

Good luck on doing this without a calculator though!

To change radians to degrees multiply by 180/pi.

So, if 0.245437834 is an angle in radians then  0.245437834*180/pi ≈ 14°

.

This is just a linear equation.  What do you want to do with it?

Guest #1 is correct.  The question asks for the negative of the square root of 320.  The square root of 320 is 17.88... and so the negative of this is -17.88... 

 x4 = 2 pi / 6      is not correct !

x4 = arc sin 0.5 = 5 pi / 6

3x^2 - 4x + k  =  0      will always have solutions.....but....if you mean real solutions, we can use the discriminant  to find the values of k that produce these

(-4)^2 - 4(3)k  ≥  0

16 - 12k ≥  0     divide through by 4

4 - 3k ≥  0      add 3k to both sides

4 ≥ 3k       divide both sides by 3

4/3 ≥ k    .......this means that k must be ≤ 4/3 for the function to have real solutions

my^2 + 2y - 4 = 0  ....we need to find the value of m that makes the discriminant = 0

(2)^2 - 4(m)(-4) =  0

4 + 16m =  0      divide through by 4

1  + 4m = 0      subtract 4m from both sides

1  = -4m      divide both sides by -4

-1 / 4 =    m     

Thus.....the given function will have exactly one root  [ of a multiplicity of 2]  when m = -1/4

0_0 is an emoji, usually to mean to look surprised. Not sure if it means anything math-wise.

One would think that it would be approximately -17.888, because the square root of 320 is 17.888.

However, it isn't.

Put this into the calculator:

\((-2)^2\)

What does it come up with? It should be 4. Not -4. This is because a negative multiplied by a negative is a positive. Because of this, the square root of -320 will not be -17.888, as -17.888 sqaured will be 320, and not -320.

So the question remains: what is the answer? It can't be -17.888, nor can it be 17.888, for those are both square roots of 320. The answer is acually 17.888*i, or 17.888i. What is i you ask? i is actually the simbol that mathematicians have used for the square root of -1. And because \( \sqrt{-1} = i\)

This means that \( -\sqrt{320}=17.888i\)

Hello Thank You so Much.

If water flows at a rate of 11 gallons per minute, then:

50/11=~4 minutes and about 33 seconds to fill the bath tub.

Just use a calculator and take the natural log(ln) of your numbers:

ln5 divided by ln4+4ln5 equal

ln5=1.609438

ln4=1.386294

4ln5=4 x 1.609438=6.437752

[1.609438] / [1.386294 + 6.437752]

=0.205704......etc. And that is it.