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Note  that the number of bacteria every minute increase by a factor of 2.5

So......in 10 minutes  (3 minutes after 7 minutes), there are

16400 * 2.5³ =  256,250  bacteria

Answered here  :  http://web2.0calc.com/questions/please-help_10197

Why don't you make an account and become a member???....it's easy to do....

Here's one more method of determining the area using something known as Pick's Theorem

We can use this whenever the vertices of the triangle are lattice points  [ the vertices have integer coordinates}

Area  =  B/2  +  I   -  1

Where B  is the number of  lattice points on the triangle's edge  = 12

And  I   is the number of lattice points in the interior of the triangle  = 7

So....we have

Area  =  12/2  + 7  -  1    =    6 +  7  - 1  =   12 units^2

2.  Length  =  √38.44   =  6.2 cm

3.  Length  =  √54  ≈  7.3 cm

4. Mass  =  8.8²  = 77.44 g

a)   24F  =  (130 - 10)

b) By inspection...I see that the right side evaluates to  120....and I know that 24 divides 120 five  times.....so...there are 5 friends

By.....systematic trial.....we could plug 1,2,3,4 and 5   in for F  and find that 5 would work 

The second method is easier, in my opinion, if you don't happen to see that 24 divides 120

Slope of p  =    -a/b

(0, b)  is on line  q

Slope of q  =  ( b - 0) / (0 - -a)  =   b/a

Product of the slopes  =  (-a/b) (b/a)  =  (-ab) /(ab)  =  -1

Hello to you too! 👋

Okay, I don't know how to insert the photo b/c for some reason, it's not letting me do so. But, the triangle is a basic triangle, with 'Tower A' labeled at the top of the triangle, and 'Tower B' labeled at the bottom of the triangle. On the left side of the triangle, it is labeled 'C', and on the right side, it is labeled 'D'. This is basically an explanation of the picture

RS  =  RS ,   ∠RST = ∠RSQ ,   SQ  =  ST

Therefore,  △QRS ≅ △TRS  by the  SAS Congruence Postulate.

The coordinates of square ABCD are  A(0, 0) ,  B(a, 0) ,  C(a a) , and ​ D(0,  a) .

The slope of  AC   =   [a - 0] / [a - 0]   =   1 .

The slope of  BD   =   -1 .

The product of the slopes   =   1 * -1   =   -1 .

Angle  J  is the same as angle  X ,  so since  X  is listed last in the name, we must list  J  last.

XF  is the same length as  JL  , so the last two letters must be  LJ

Then the first letter must be  N .  So...

△NLJ   ≅   △PFX ​

slope of  EF   =   difference in  y  values / difference in  x  values

slope of  EF   =   [ -1 - -5 ] / [ -2 - -9 ]

slope of  EF   =   4 / 7

slope of a line perpendicular to  EF   =   - 7 / 4

There are a few ways to do this... here's one way..

Draw a rectangle around the triangle, so...

area of the triangle in question  =  area of the rectangle  -  area of the triangles around it

area of triangle in question   =   (4 * 6)  -  ( 1/2 * 4 * 4 )  -  ( 1/2 * 4 * 2 )

area of triangle in question   =   24  -  8  -  4   =   12   sq. units

When you double the  x  coordinates, it changes the shape of the triangle. So

△JKL is not congruent to △J'K'L' because the rules do not represent a sequence of rigid motions.

The slope of the line     -2x + 3y  =  6     is     2/3  .

The slope of the line     -3x − 2y  =  4     is    -3/2  .  This is perpendicular.

The slope of the line     -2x + 3y  =  -6    is     2/3  .  This is parallel.

The slope of the line      2x + 3y  =  6     is    -2/3  .  This is neither.

The slope of the line     -2x + 3y  =  0     is     2/3  .  This is parallel.

I have messaged Mr Massow about these problems.

It works in the preview but not when the post is complete.

Is LaTex working yet?

\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\)

testing again if upload needed

No this is not working.   

a)

N + 7  = 18          subtract 7 from both sides

N  =  11

b)

N  -  6  = 24        add 6 to both sides

N  =  30

c)

5N  =  45            divide both sides by 5

N  = 9

d)

N/6  =  7          multiply both sides by 6

N  =   42

e)

4N +  3   =  19        subtract 3 from both sides

4N  =  16                 divide both sides by 4

N  = 4

the intersection of BB′¯¯¯¯¯¯ and MN←→− form a right angle

​△ABC≅△A′B′C′​

a) 

14C  =  182    where C is the cost per DVD

Divide both sides by 14

C  = $13

b) 

B -  14  =  53     where B is the number of bracelets she started with

Add 14 to both sides

B =  67

c)

56  +  11P   =  100        where P is the points for each book

Suntract 56 from both sides

11P  = 44      

Divide both sides by 11

P  = 4

Distributive Property

Simplify

Addition Property of Equality

Diision Property of Equality