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Use distance formula

distance² = ( x1-x2)²  + (y1-y2)²    

d² = (-3 - -3)²   +  (2 - -4)²              <=====you can finish

4,500  x  0.07 ==315 simple interest for 1 full year.

315  x  7 years ==2,205 - total amount of simple interest for 7 years.

∑[ (2n - 1) / (2^n), n, 1, ∞ ] ==It converges to 3

ANSWER is 93.75

Becouse :

we devide square (150) into 4.

it was 37.5(A)

than we devided 37.5 into 4

it was 9.375(b)

than was easy with rull

(a+b)*2

it was 93,75

I have not thought this question out well.   I am not cllaiming it is exactly what you are asked for.

I am not even sure it is correct, Iam too tired to think it through well. 

But perhaps what I have done will give you some ideas.

A trading day is usually 6 hours long.  So the horizonal axis goes from  0 to  6/t    Domain   0 <= t <= 6/k 

If k >1.5 then the lines won't cross before the end of the day and    Range will be       0 < d < 3(6/k)+4  that is range :  0

If k <=1.5 then the lines will cross before the end of the day and    Range will be       0 < d < 4 (6/k)  that is range :  0

For all complex numbers z,

let f(z) = z^2 if z is not real, f(z) = 2z if z is real.

Find f(f(f(f(1+i))))

\(f(i+1)=(1+i)^2=2i\\ f(2i)=(2i)^2=-4\\ f(-4)=2*-4=-8\\ f(-8)=2*-8=-16\)

It is the same as the diagonal of a circle on its right side.

53(1.3 / 4.4166666667) = 15³/₅

[FGIH] / [AFG] = 7 / 8

We are not here to do your homework for you.

First, calculate the total area of the wall.

       1 hour and 40 minutes is equivalent to 1 2/3 hours or 5/3 hrs.

if her rate was 42 ft²/hr, then the total area she painted

was

           A = 42 * 5/3 = 70 ft²

Now, the formula to find the area of the wall is

                 A = Lw

Let A = 70 and, L = 13 and w be the height of the wall. So,

                      A = Lw

                    70 = 13w

            13w/13 = 70/13

                     w ≈ 5    

Hence, the height of the wall is approximately 5 feet tall.

Suppose the wall is x feet tall.

Given the wall is  13 feet long.

Find the area of the wall :

The area is 

13

× x = 13x²

 42 feet² is painted by 1 hour.

So, 13x

feet² will be painted 13x/42 hour i.e

{(13x)×60}/42 minutes i.e 390x/21 minutes.

By given condition ,

390x/21 minutes = 1 hour 40 minutes = 100 minutes.

I.e 390x = 2100 

I.e x= 2100/390=210/39 = 5.38

Therefore the wall is 5 .38 feet tall.

Let Eric collected 'x' cards

      Paul collected 4x cards 

      Total = x + 4x = 5x = 270

                             => x = 270/5 = 53

      So Eric had '54 cards and Paul has 54 * 4 cards

          i.e   Paul had '216 cards.

To have equal cards, each must have 270/2 = 135 cards

    So Paul meet give 216 - 135 = \(\boxed{81\ cards}\)

One possible set is:  1, 2, 3, 4, 9, 11, 12, 13, 14, 15

Median = 10

Mean = 8.4

Find angle x, in degrees.

Hello Guest!

\(7y+5y=180^o\\ y=15^o\\ x=180^o-(5+3)\cdot 15^o\)

\(x=60^o\)

  !

Find all positive integers n such that n^2 is divisible by n - 12.

Hello Guest!

\(\{n,N\} \subset \mathbb N\\ N=\frac{n^2}{n-1}\)

   n  |   36   48   60   84   156 

   N |   54   64   75   98   169

  !

Since DBA is a straight line   --->   7y + 5y  =  180   --->   12y  =  180   --->   y  =  15

Since  3y + 5y + x  =  180   --->   3(15) + 5(15) + x  =  180   --->   x  =  60

 25% of total scores = 13

 0.25 x total scores  =  13

            total scores  =  13 / 0.25  =  52

I drove to the beach at a rate of 40 miles per hour. If I had driven at a rate of 38 miles per hour instead, then I would have arrived 10 minutes later. How many miles did I drive?    

First, solve for how long it took to drive it. 

However fast he drove, he went the same distance so D₄₀ = D₃₈  

And Distance = Velocity • Time  

(40 • T)  =  (38 • (T + 1/6) )      note that we're solving for miles per hour so 10 minutes is 1/6 of an hour  

     40T   =  38T + 38/6   

        2T  =  38/6  

          T  =  19/6  

Distance  =  Velocity • Time  

            D  =  (40) • (19/6)  

            D  =  760/6  

            D  =  126.67 miles  

_.

d/40     =   d/ 38   -   1/6          ( 1/6 hr = 10 minutes )

d =   1/6 / ( 1/40 - 1/38) = 126 2/3 mile

The probability is 46/175.

Let P(x) = x^2.  Then P(1) = 1, p(2) = 4, p(3) = 9, so p(n) is always a perfect square.  You can do this for any polynomial that factors, like P(x) = x^3 and P(x) = x(x + 1).

I worked out the answer before, and it was 1/4.