All Answers 358514 Answers

there would be 0 winning entries

inverse tan is the same as arctan   So use atan

56/75*3    dollars

Are you actually going to do any of these for yourself?

You are slowyly getting us to do every one for you. 

Please do not do this!

anon has given you plenty of help.  You should work out your final answer fo yourself!

Well if she filled it with an extra 4.25 gallons then before she filled it it must have has     n - 4.25    gallons in it.

or

kayak

0r

1834381

Thanks Alan and Nauseated.

I now get that the radar will have to clock the oncoming car at a smaller speed then what the car is really travelling at.

Each of your pics gave me different info and they both helped a lot .

Alan I can see that your pic gives me the desired answer but  I can't quite fathom why the pic is right.  

I am still contemplating the actual maths of it.  Is it possible for you to show me mathematically, with the units, why your answer is correct?       Why is the triangle drawn like that? Why is the right angle at the police car ?

Is that to seperate the x and y components of the velocity relative to the police car?  Maybe there is a glimmer of understanding coming.

For the first one, we have

∫Be^6x dx      let u = 6x    du =6 dx     du/6 = dx     so we have

(B/6)∫e^u du  =

(B/6) [ e^u] + C   =    (Be^6x) / 6   + C

For the second we have

∫6x^2  + 5x - 10 dx =

2x^3 + (5/2)x^2 - 10x  from x = 1 to x = 3

[2(3)^3 + (5/2) (3)^2 - 10 (3) ]  - [2(1)^3 + (5/2)(1)^2 - 10(1)] =

[54 + 45/2 - 30 ] - [2 + 5/2 - 10] =

52 

This is the basic graph of the tangent shifted to the right by pi/3 units.

It will have  an x intercept at pi/3 ±  n(pi) units..... where n is an integer

Ik Q2

I'll do a simple example to show you

A1,A2,A3,B

how many ways can these be placed in a line   4*3*2*1=4! ways.

Now lets forget about the B for a moment, how many ways can the A's be ordered. that would be 3!=6 ways

So if you treat the As like they are all the same there will be   4!/3! ways of arranging them.  That's 4 ways.

BAAA, ABAA, AABA, AAAB     THAT IS IT.

-------------------------

now marmalade is made of      m m a a a r l d and  e

9 letters so if they were all different there would be 9! ways.

But

there are 2 Ms and 3 A's

so that is      9!/(2!*3!)

nothing big just a big misunderstanding. how are you?

idk

Sorry, my mistake.

The x-intercept occurs when y=o, not x.

.06=(188/188+x)(100)

0.0006=$${\frac{{\mathtt{188}}}{\left({\mathtt{188}}{\mathtt{\,\small\textbf+\,}}{\mathtt{x}}\right)}}$$

$$188+x=\frac{188}{0.0006}$$

x=313145.3

The x-intercept occurs when x-0.

When x=0, the expression equals tan(0- pi/3), which means that the graph crosses the x-axis @:

tan(-pi/3)

Be careful, this may be at more than one graph location.

The discount is $${\mathtt{62}}{\mathtt{\,\times\,}}{\mathtt{0.15}} = {\frac{{\mathtt{93}}}{{\mathtt{10}}}} = {\mathtt{9.3}}$$

The final price is

$${\mathtt{62}}{\mathtt{\,-\,}}{\mathtt{9.3}} = {\frac{{\mathtt{527}}}{{\mathtt{10}}}} = {\mathtt{52.7}}$$

Divide the larger volume by the smaller volume.

$${\frac{{\mathtt{1\,600\,000}}}{{\mathtt{10\,000}}}} = {\mathtt{160}}$$

I guess it depends on whether it involves corruption or not...  :/

3x(x+2)²      Recall that: (a + b)² = a² + 2ab + b²:

3x(x² + 4x + 4)        

You have to multiply 3x w/ all the terms inside the paranthesis. You can start off w/ only the x, to avoid careless mistakes.

3(x³ + 4x² + 4x)      multiply all the terms inside the paranthesis by 3:

3x³ + 12x² + 12x

(30(-7))-(210(-3))

First, dispose of unneccesary paranthesis:

30(-7) - (210(-3))       Multiply what's inside the paranthesis:

-210 - (- 630)         Recall that: - (-x) = x:

-210 + 630

630 - 210 = 420     

Full tank: n gallons

Amount bought today: 4.25 gallons

Before she filled the motorcyle we know that:

* It must be a non-negative amount of gas in the tank. 

* It was at most n - 4.25 gallons of gas in the tank before she filled it.

(she filled 4.25 gallons into the tank after all)

Therefore the amont of gas g, in gallons can be expressed as follows:

0 ≤ g ≤ n - 4.25         or equaly:         g ∈ [0, n - 4.25]