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You might not use pi in day-to-day life... but if you're doing anything with circles (ex: building things or trying to figure out how much fabric you need to cover a circular object), it's a useful quantity to know.

9 + 10 =

ooooooooo + oooooooooo =

Count the circles:

o o o o o o o o o + o  o  o  o  o  o  o  o  o  o

1 2 3  4 5 6  7 8 9   10 11 12 13 14 15 16 17 18 19

19.

I think you mean they wrote their 9 is upside down.

If she withdraws $14 from her bank account, then her account balance decreases by $14, so the change to the balance is -$14. Multiply -14 times 7 (which will be a negative product) to get the total change to the amount in her account in the first scenario.

Adding $14 is very similar, the only difference being her account balance increases by $14, so the change to the balance is $14. Multiply this by 7 to get the total change to the amount in her account in the second scenario.

Hopefully the difference between the withdrawal and deposit is clear from the earlier explanation.

I was looking at this question earlier, but I could not figure out  an  'r'   common ratio.....   you say it is 1/3....can you explain how you got that?  I do not see it.......    Thanx ! 

Forms geometric series as follows:

∑2/[n*(n+1)*(n+2)], n=1 to infinity

Sum = F / (1 - r)

Sum = 1/3 / (1 - 1/3)

Sum = 1/3 / (2/3)

Sum= 1/2

You are given   S=18

18 = 30 - r(30)   subtract 30 from both sides of the equation

-12 = - r(30)        Divide both sides by -30

12/30 = r   =  2/5       2/5 x 100% = 40 % = r

When multiplying fractions all you have to do is multiply the top two numbers together (numerators) and the bottom two numbers together (denominators)

2/7  x  4/9  = (2 x 4)  /  ( 7x9)   =  8 / 63

I t means 'not equal'   or 'does not equal'

The HORIZONTAL component of the initial velocity does not change (ignoring air friction or other outside forces).

The Horizontal component is given by

vo cos 40    where vo= original velocity

Wed are given that in FOUR seconds  it travels 38.6 meters    which is a horizotal component of 38.6/4 = 9.65 m/s

Now set these to quantities = to each other and solve for vo

vo cos 40 = 9.65

vo =  9.65 / (cos 40)  = 12.597 m/s

There could be LOTS of answers to this.

Here's ONE:
93 dimes and ONE nickle.

It doesn't.   Do you have more info so we can help?

1) -(3^2)=-9

2) (-3)^2 = 9

25+2=27

If you google "times table squares", you will be able to find several, many in printable form.

You can also use the calculator to make your own.

2x² - 3x - 5  =  0

(2x - 5)(x + 1)  =  0

Either:  2x - 5  =  0          or     x + 1  =  0

                   2x  =  5                         x  =  -1

                     x  =  5/2

After the '12' term, you have two operations '^*'; can you correct this?

y  =  ( 1 + 5x)^1/3

The inner function is:  u  =  1 + 5x

The outer function is:  y  =  ( u  ) ^1/3

The derivative is:  y'  =  (1/3)( 1 + 5x)^-2/3·5   --->   y'  =  (5/3)( 1 + 5x)^-2/3

Your '6' is upside down.....

sqrt(2) * ( sqrt(18) - 2^2 ) + sqrt(32)

Since 2^2 = 4:

  =  sqrt(2) * ( sqrt(18) - 4 ) + sqrt(32)

Using the distributive property:

  =  sqrt(2) * sqrt(18) - 4 * sqrt(2) + sqrt(32)

  =  sqrt(36) - 4 * sqrt(2) + sqrt(32)

Since  sqrt(36) = 6:

  =  6 - 4 * sqrt(2) + sqrt(32)

Since 4 * sqrt(2) is simply 4sqrt(2)

  =  6 - 4sqrt(2) + sqrt(32)

Since sqrt(32)  =  sqrt(16) * sqrt(2)  =  4 * sqrt(2)  =  4sqrt(2)

  =  6 - 4sqrt(2) + sqrt(2)

  =  6

Check your math.

You're close, but just a bit off.

The graph appears to pass through the points (x₁, y₁) = (1, -2) and (x₂, y₂) = (3, 1).

To find the slope:  m  =  [ y₂ - y₁ ] / [ x₂ - x₁ ]   --->   y  =  [ 1 - -2 ] / [ 3 - 1 ]  =  [ 3 ] / [ 2 ]  =  3/2.

Using the point-slope equation for a line:  y - y₁  =  m(x - x₁)

If the area above the line is shaded, use '>'; 

if the area below the line is shaded, use '<';

if the line is solid, add an equal sign;

if the line is dashed, do not add an equal sign; 

so:                                                                  y - -2  >  (3/2)(x - 1)

                                                                        y + 2  >  (3/2)(x - 1)

Multiplying both sides by 2:                        2y + 4  >  3(x - 1)

Using the distributive property:                  2y + 4  >  3x - 3

Rearranging:                                       -3x + 2y + 7  >  0

or:                                                            3x - 2y - 7  <  0

y1(x)= _____ (passing through (0,5)).

y2(x)=______(passing through (4,1)).?