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I should have thought of that!

I didn't know what the asker was on about.

Thanks Alan  

If Z is the number of unit normal standard deviates, then the probability that Z>2.04 is 0.02068

thank you 

Sam wasn't very good at maths, 1/2 + 1/3 + 1/12 is only 11/12, not 1.

However, add a dummy ax, so there are 12 axes and apply Sam's fractions to them.  Ron gets 12/2 = 6 axes; John gets 12/3 = 4 axes; the youngest gets 12/12 = 1 axe.

6 + 4 + 1 = 11, so this uses all Sam's axes and you can keep your own dummy axe!

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$$\lim_{x \rightarrow 0}(\frac{x+1}{x}-\frac{2}{sin(2x)})$$

Write this as:

$$\lim_{x \rightarrow 0}(1+\frac{1}{x}-\frac{2}{sin(2x)})$$

as x tends to 0, sin(2x) tends to 2x, so 2/2x tends to 1/x:

$$\lim_{x \rightarrow 0}(1+\frac{1}{x}-\frac{1}{x})=1$$

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The graph of e^x/x⁴ does go to infinity as x goes to infinity.  It does so so rapidly, that the values get too large to show for the range of x's you can see!

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And for the second picture I found that when x goes to infinity fx goes to infinity ! 

but the graph doesn't show that !!! 

https://www.desmos.com/calculator/f49yopuqer

Convert each fraction to have a denominator of 60. That should make it easier! 

I answered this same question just a few minutes ago. Did it disappear?

At first I thought someone's calculator must be broken ....

.... but now I think we have two people with broken calculators!  

Can you tell us more about this question?

Do you know what the expected answer is?

Is there a word spelled incorrectly? Can you fix it?

Do you mean on a trig formula or what?

Maybe you could give an example?

What about this how can I solve it 

No it is not Selena :)

thank you alan 

you mean *how lol

 your answer is: 88+88=174

(1/2)^2+ [(-2)^2/2^3] =

(1/2)*(1/2) + [(-2)*(-2)/(2*2*2)] =

(1/4)          +   [ 4       /   8]          remember we perform any multiplications/divisions from left to right, frst, before additions/subtractions

(1/4)           +     1/2         common denominator

(1/4)            +    (2/4)    =

3/4

what number can you multiply to get 11

$$11 = a * \textcolor[rgb]{1,0,0}{\left( \dfrac{11}{a} \right)}$$

$$11 = 44 * ( \frac{11}{44} ) = 44 *( \frac{1}{4} )$$

(4.92*10^-2)/(2.2*10^-4)

$$\\\frac{4.92\times 10^{-2}}{2.2*10^{-4}}\\\\
=\frac{4.92}{2.2}\times \frac{10^{-2}}{10^{-4}}\\\\
=2.2\dot3\dot6\times 10^{-2--4}\\\\
=2.2\dot3\dot6\times 10^{-2+4}\\\\
=2.2\dot3\dot6\times 10^{2}\\\\$$

(4.92*10^-2)/(2.2*10^-4)   rewrite as

(4.92 / 2.2) * (10^-2/10^-4)  

(2.2363636363636364) * (10^4 / 10^2)     negative exponents "travel" across the fraction bar

2.2363636363636364 * 10 ^2   (in scientific notation)

or just

223.63636363636364

5(3)^2/2-3+2[5(7)-15/3]*4/12-6     work inside the brackets, first

5(3)^2/ 2 - 3 + 2[35 - 5]*4/12 - 6   exponent, next

5(9)/2 - 3 + 2[30]*4/12 - 6     multiplications, divisions from left to right

45/2 - 3 + 60*4/12 - 6

22.5 - 3 + 240/12 - 6

22.5 - 3 + 20 - 6

19.5 + 20 - 6

39.5 - 6

33.5

5(3)^2/2-3+2[5(7)-15/3]*4/12-6

When doing these you must always use the correct order of operation.

1)  Brackets

2)  Powers or exponents

3)  multiply and divide - equally important - do them from left to right

4)  addition and subtraction - equally important - do them from left to right

1) soportes de

2) poderes o exponentes

3) multiplicar y dividir - igualmente importante - hacerlas de izquierda a derecha

4) sumas y restas - igualmente importante - hacen de izquierda a derecha

=5*(3)^2/2-3+2*[5*(7)-15/3]*4/12-6

You must do the brackets first 

 Primero debes hacer los soportes

=5*(3)^2/2-3+2*[35-5]*4/12-6

=5*(3)^2/2-3+2*[30]*4/12-6

=5*(3)^2/2-3+2*30*4/12-6

Now the powers (or expontents)

Ahora las potencias (o expontents)

=5*(3)^2/2-3+2*30*4/12-6                        3^2 means 3*3=9

=5*9/2-3+2*30*4/12-6

=5*9/2-3+2*30*4/12-6

Now the multiplies and divides going from left to right

Ahora la multiplica y divide va de izquierda a derecha

=5*9/2-3+2*30*4/12-6

=45/2-3+2*30*4/12-6

=22.5-3+2*30*4/12-6

=22.5-3+2*30*4/12-6

=22.5-3+20-6

Now the addition and subtraction

Ahora la suma y la resta

=33.5

subtract  13/8 from both sides

then

Multiply both sides by -1

Yes that is excellent advice :)))

The last 2 digits are 8 and 8 so the sum will have to end in a 6 so that answer cannot be correct. :)

8+8=16  

174