All Answers 358095 Answers

If you drill TWO holes there is ONE space between

If you drill THREE holes there is TWO spaces between

...

...

If you drill 26 holes there is 25 spaces between     25 x 35.7mm = 892.5 mm = 89.25 cm

What are you talking about

They all work on the web2 calc.

There is nothing to solve - it is either true or it is false. 

647-872   is equal to   NEGATIVE 225        NOT  +225

Thanks Chris     

A note to guest asker:

To get the 15 I would normally draw up a little right anglesd triangle - it is easier to see visually.  :)

Nice use of that identity, Melody.....!!!

Yes, just in about 9 months.

._.

Find the exact value of sin(2y) given sin(y)=-8/17 and 270<y<360

4th quad so cos y is positive.

\(sin2y=2sinycosy\)

If opp is 8 and hyp is 17 then adjacent must be   

\(adj^2=17^2-8^2=289-64=225\\ adj = 15 \)

\(sin2y=2sinycosy\\ sin2y=2*\frac{-8}{17}*\frac{15}{17}\\ sin2y=2*\frac{-120}{289}\\ sin2y=\frac{-240}{289}\\\)

I think you made a slight error here, HSC......let's go from here......

-8(8 - x) = 4/5(x + 10)

-64 + 8x  = (4/5)x + 8    multiply through by 5 to clear the fraction

-320 + 40x = 4x + 40    add 320 to each side, subtract 4x from each side

36x  = 360    divide both sides by 36

x = 10

Note: the two rules we are using here are :  [ a^m]^n  = a^(m * n)

and  a^m * a^n   = a^(m +n)

(3x^2)^3  =  3^3 * [x^2]^3  =   27 x^6  [note that the exponent was just "distributed" over the terms in the parentheses

7x^2*3x^5  = 7 * 3 * x^2 * x^5   =  21 x^7    [note that we could arrange the terms in any order we want to since we are just multiplying them together ]

(5x)^2*x^7   = 5^2 * x^2 * x^7   =  25 x^9

I assume we are using the Exterior Angle Theorem here....if so, we have

13x - 3   = [ 3x + 2] + 55     simplify

13x - 3  = 3x + 57    add 3 to both sides, subtract 3x from both sides

10x  = 60      divide both sides by 10

x = 6 [degrees]

We would have to know how many terms we have to give a precise answer.

The general form for a geometric sum, S, is given by;

S =   a₁ [ 1 - r^n] / [ 1 - r]     where a₁ is the first term, r is the common ratio, and n is the number of terms

Notice, however  that

39360  = a₁ [ 1 - 3^n] / [ 1 - 3]   is true for n= 2 when  a₁ = 9840

But  it's also true for n= 4 when a₁  = 984

And it's also true for n = 8  when a₁ = 12

In fact, we could generate an endless list of possible first terms depending upon our choices for n !!!

The value of a dirt bike decreases by 20% each year. If you purchased this dirt bike today for $500, to the nearest dollar how much would the bike be worth 5 years later?

500*(1-0.20)^5

500*0.8^5

500*0.8^5 = 163.84

$163.84 =  $164

whats the answer tho

a triangle has 55 degrees interior angle, one 3x+2 interior angle, and one 13x-3 exterior angle and the rest of the 180 degrees is unknown. what is x?

how can I solve for the first term when given the sum and the common ratio?

ex: the sum in a finite geometric series is 39,360 and the common ratio is three. What is the first term?

I think the sum of your geometric series should be:39,366 NOT 39,360.

If that is the case, then the 1st. term is: 2. Because:

2 x 3^9=39,366. So, the series will look like this:

2, 6, 18, 54, 162, 486, 1,458, 4,374, 13,122, 39,366........

6*(4.56)   = 27.36 oz   = 27.36/16  = 1.71 lbs.

Here's an example....suppose we want to change 39 base 10 to a binary number....we divide repetitively as follows until we have a fraction < 1......

39 / 2   =    19  +  remainder 1

19/2    =       9  + remainder 1

9/2     =        4  + reminader 1

4/2  =           2  +  remainder 0

2/2  =           1   +  remainder 0

1/2  =                    remainder 1

Now......write  the remainders  from bottom to top in order  =  100111

This is the base 2 representation of 39.....

Proof

1*2^5  + 0 *2^4 + 0*2^3 + 1*2^2 + 1*2^1  + 1*2^0  =

32 + 0 + 0 + 4 + 2 + 1  =

32 + 4 + 2 + 1  =

39

This is HOW you do it. Ex. convert 125 from base 10(decimal) to base 2(binary):

125/2=62.5 if it leaves a fraction, then it is a 1. You write from R to L. Next:

62/2=31 if it leaves no fraction, then it is a o

31/2=15.5 it leaves a fraction, then it is a 1

15/2=7.5   ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,  1

7/2=3.5,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,, 1

3/2=1.5,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,  1

The final 1 comes down as it is a,,,,,,,,,,,,,, 1

Then write it down from to top to bottom and going from right to left, thus:

1111101=125. Or, you can start from the bottom to the top and going from left to right, which is the same thing: 1111101=125. And that is it.

86400 seconds in 24 Hours

​if 5=6 what is 7

6/5 x 7=8.4, so that:

5:6=7:8.4

\({tan}^{-1}(\frac{7}{6})\)

\(0.862170054667\)

\(\sqrt{\pi}\)

1.7724538509055159...

y = 7x

Just substitute the x value of each point into the above equation

A (-2, -14)      B ( 4, 28)