All Answers 358108 Answers

did you intend that to be

x 3^2 x 7^3

or

x 0.3^2  x 0.7^3               ??

$$\\sinh(x)=0\\\\
\frac{e^x-e^{-x)}}{2}=0\\\\\
e^x-e^{-x}=0\\
e^x=\frac{1}{e^x}\\
e^{2x}=1\\
2x=0\\
x=0$$

Any number divided by 1 stays the same so

$$31=\frac{31}{1}$$

$$\\x^2-5x+6=0\\
x^2-5x=-6\\
x^2-5x+(5/2)^2=-6+(5/2)^2\\
x^2-5x+25/4=-6+25/4\\
(x-5/2)^2=1/4\\\\
x-2.5=\pm 0.5\\
x=2.5\pm 0.5\\
x=3\qquad or \qquad x=2$$

check by substitution

$${{\mathtt{3}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{3}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}} = {\mathtt{0}}$$   true

$${{\mathtt{2}}}^{{\mathtt{2}}}{\mathtt{\,-\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{2}}{\mathtt{\,\small\textbf+\,}}{\mathtt{6}} = {\mathtt{0}}$$   true                 

log(12)

$${log}_{10}\left({\mathtt{3}}\right){\mathtt{\,\small\textbf+\,}}{log}_{10}\left({\mathtt{4}}\right) = {\mathtt{1.079\: \!181\: \!246\: \!047\: \!624\: \!8}}$$

$${log}_{10}\left({\mathtt{12}}\right) = {\mathtt{1.079\: \!181\: \!246\: \!047\: \!624\: \!9}}$$

$$999*0.666.....$$

First multiply the terms in brackets by the -4:

3.07 - 7.3h = -4*(-19.7h) - (-4)*11.53

3.07 - 7.3h = 78.8h + 46.12       remembering that two negatives make a positive

Subtract 46.12 from both sides

-43.05 -7.3h = 78.8h

Add 7.3h to both sides

-43.05 = 86.1h

Divide both sides by 49.19

h = -43.05/86.1 or h = -0.5

.

The exponential expression doesn't hold if x is negative, that's why the Heaviside function is there.

.

(0, 4) and (3, 1)

That would depend on the shape of the jar and the thickness of the glass.

-part 2 ends-

okay, part 2 of the challenge has ended

the correct answer to 18.26 divided by 6.090 equals:

2.9983579638752053, rounding it to the nearest dollar is 3

only DarkBlaze347 is given credit for part 2

on tuesday, the challenge resumes, where each person is given an individual scenario situation (for safety purposes of the challenge, so that way nobody has the same problem)

only one person may help you, and you only may help 1 as well.....so choose wisely

Thanks Heureka.

So it depends on where the brackets are SUPPOSED to be!!!

Hello anonymous!

To build a ramp at 5% angle to a 5 foot height. How long would the ramp be?

Right-angled triangle a, b, c.

The height is b.                                                     opposite side

b = 5 foot

The basis of the ramp is a.                                    adjacent side

The slope of the ramp is tan β = 5 % = 0,05.

a = b / tan β

a = 5 foot / 0,05 = 100 foot

The basis of the ramp is a = 100 foot.

The length of the ramp is c.                                   hypotenuse

c = √(a² + b²) = (√(100² + 5²)) foot = 100,125 foot

The length of the ramp is c = 100,125 foot

Greets   :- )

Hello anonymous!

(4+5*8)*6+7/0.9+(48-0.5)-7/0+78*(12+7)

7/0 is not defined. The term is not real.

greets  :- )

 n=7R60 

You use the inverse-sine function. Common notation is either "asin(x)" or "sin^-1(x)"
This returns the angle that has a sine of x.

asin(0.836) = 56.72° (To 2 d.p.)

yeah thats right...math isnt so simple to do........

but this is perfect.

one does simply post a question.

Think of it like this:

The price you are paying ($20) is 85% of the original price (100% - 15%).

So, $20 = Original Price * 85%

Re-arrange and you get:

Original Price = $20 / 85%

= $23.53 (Rounded up to the nearest cent)

how to change a whole number into a fraction hun?

so i think these are the steps we can follow to change a whole number into a fraction.

Change 36 into a fraction 

36 x 1/1

36/1

so weve changed 36 into a fraction....i hope this isnt incorrect!

(5!/0!*(5-0))*3²*7³           correct ??

=120/1 *5*9*343 =

=$${\mathtt{120}}{\mathtt{\,\times\,}}{\mathtt{5}}{\mathtt{\,\times\,}}{\mathtt{9}}{\mathtt{\,\times\,}}{\mathtt{343}} = {\mathtt{1\,852\,200}}$$

@Alan @Sir Emo @CPhill,guys sorry for the late reply, and yeah i also arrive at the same aswer, mine is 11.098 to be exact, my solution is a little bit longer(though it's pretty much the same as your's) and i dont have a pc to write it down like you guys (im using my mom's ipad) so it might confuse you guys if i wright it here manually

hi!

your question can be represented as

$${\frac{{\mathtt{3}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}}$$

you can solve this by finding a common denominator, which is done quickly by just multiplying the denominators together, so your new denominator would be 6, or 2*3.

now, because you multiplied 2 by 3 to get 6, your fraction with 2 in the denominator needs the numerator multiplied by 3 as well, making 3/2 into 9/6.

and do the same for 2/3 but multiply both your numerator and denominator by 2, to make 4/6!

so your new equation would be

$${\frac{{\mathtt{9}}}{{\mathtt{6}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{6}}}}$$

and now all you have to do is subtract!

$${\frac{{\mathtt{9}}}{{\mathtt{6}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{4}}}{{\mathtt{6}}}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}} = {\mathtt{0.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$

so your answer as a fraction is 5/6, or as a decimal is 0.83.

hope this helps!

$${\frac{{\mathtt{3}}}{{\mathtt{2}}}}{\mathtt{\,-\,}}{\frac{{\mathtt{2}}}{{\mathtt{3}}}} = {\frac{{\mathtt{5}}}{{\mathtt{6}}}} = {\mathtt{0.833\: \!333\: \!333\: \!333\: \!333\: \!3}}$$