Hi

The difference of the squares is of two numbers is 80% of the sum of their squares .

What will be the the ratio of the larger number to the smaller number  ?

 

     .2x^2 = 1.8y^2

      

       x/y = 3/1

 

Hi

= 1  2/12 OR 1  1/6

 

Hi

The area of a rectangle field is 9,000 square meters.

if the ratio of the width to the length is 5 is to 8...

      and W = 5L/8

 A = L*W = L(5L/8) = 5L^2/8 = 9000

                      L^2 = 9000(8/5)

                       L = 120ft     (throwing out the negative number for unit of measure)

 

Hi

five feet of wire sell for 3.00. How many feet can you buy for 90 Cents?

Note: CENTS makes sense

     ||Cross Multiplying to solve

 300x = 450

    x = 450/300 = 45/30 = 3/2 ft,  How many feet can you buy for 90 Cents

 

Hi, Previously Posted





 

      9 = x-1

     10 = x

 

Hi





 

      9 = x-1

     10 = x

 

Hi, 

what is the series in summation notation?

4+2+1+1/2+1/4+...

 

Hi,

  or 

center, (0,0)

asymptotes, y = ± 4/3x

vertices, (0,-4), (0,4)

and foc(0,-5),(0,5)   ||Note: = 5

 

Hi, 

20% of your customers call back within 72 hours of their first call.  

Of those who call back, 10% call back again within 96 hours of their first call

 

how many calls from those customers will you receive in the next four days?”

  

 

Hi, 

f(x) = 8x3 + 31x2 + 23x + 6; c = -3

f(-3) = 0, yes, (x+3) is a factor

Using synthetic Division

-3	8	31	23	6

		-24	-21	-6

	8	7	2	0

f(x) = 8x3 + 31x2 + 23x + 6 = (x+3)(8x^2 + 7x + 2)

 

Hi, 

A small well contains 30 gallons of water: 1 Gal(US) = 3.79 L

 30*3.79 = 113.7 L

 

Hi, 

find three  positive integers

 What is the smallest integer? 

 What is the second smallest integer? (n+1)

 What is the largest integer? (n+2)

product of the first and third, minus the second, is 1 more than 6 times the third.

 n(n+2) - (n+1) = 6(n+2)+1

 n^2 -5n -14 = 0

(n+2)(n-7) = 0,  (tossing out the negative solution for n)

the three consecutive positive integers are: 7,8,9

CHECKING our Answer***

 7*9 - 8 = 55 = 6*9 + 1

  

 

Hi, 

The  of the page numbers on two facing pages of a book is 272

Let n and (n+1) represent the page numbers

 n(n+1) = 272

 n^2 + n - 272 = 0

(n+17)(n-16) = 0

       n = 16     (throwing out the negative solution for n)

Page numbers are 16 and 17

CHECKING our Answer***

 16· 17 = 272

 

Hi, 

the rent was 400.00 it went up to 520.00...

 520/400 = 1.30, rent went Up 30%

Note: 

 

Hi, 

In General 

A = Accumulated Amount

P= principal = 600

r= annual rate = .05

n= periods per year = 1

t= years = 9

 A = 600(1.05)^9

 

Hi, 

Find all of the real zeros of the polynomial function

f(x) = 3x^4 - 6x^3 + 4x^2 - 2x + 1   Note: x = 1 is a zero: 3-6+4-2+1 = 0

using synthetic division

1	3	-6	4	-2	1

		3	-3	1	-1

	3	-3	1	-1	0

(x-1)(3x^3 - 3x^2 + x-1)  Note: x = 1 is a zero of 3x^3 - 3x^2 + x-1

using synthetic division

1	3	-3	1	-1	

		3	0	1	

	3	0	1	0

(x-1)(x-1)(3x^2 - 1)

Real zeros is x = 1

 

Hi,

Use the intermediate value theorem to determine whether the polynomial function has a zero in the given interval.

f(x) = 8x^3 - 10x^2 + 3x + 5

f(-1) = -8 - 10 - 3 + 5 = -16

f(0) = 5

Note: the continuous function value changes from negative to positive in the given interval:

function will have a zero in that interval

 

Hi,

 A soccer team has 3 more boys and three-fourths as many girls as last year.

Let x and y represent the number of girls and boys last year.

This year would be (x+3) and 3/4y

The number of players on the team is the  as last year.

 x+y = (x+3) + 3/4y

  1/4y = 3

    y = 12, number of girls on the team last year. 

 

Hi, 







  , u = 5

 

Hi

Note: 10 women

Using the Excel Data Analysis Tool:

Before: 164 175 135 165 192 180 175 205 210 208

  || m =180.9 and SD = 23.6

 After: 161 170 134 165 188 181 173 195 180 197

 || m = 174.4  and SD = 18.6



  t = 

 degrees of Freedom = (10+10)-2= 18 ... t =.6841, 5% significance level...

(Using t-test Table or t-test Calculator)

We can conclude that there is NO significant decrease in weight after the program

 

Hi, 

A car travels at an average speed of 65 miles per hour. 

How long does it take to travel 252 miles?  = 3.88 hrs

 

Hi, 

Find the accumulated value of an investment of $1900 at 10% compounded quarterly for 5 years.





A =  

 

Hi, 

points of intersection of the circles: * and ?

Sketching and observing circles intersect at x = 1:  and y = = ±  

points of intersection are( 1, ±  ) 

 

Hi, 

A man rowed 3 miles upstream in 90 minutes

Let r represent the rowing r

D = rt OR r = D/t

(r-2) = 3/1.5 = 2

  r-2 = 2

  r = 4mi/hr

With the current, will travel 6mi/hr

 or 30min 

 

Hi, 

6x + 32 =  4x + 39

 2x + 32 = 39

   2x = 7

    x = 7/2

CHECKING our Answer***



    21+32 = 14+39 = 53

 

Hi, 

Determine if this data is qualitative or quantitative: 

Zip code...qualitative (or categorial)

Note: Even though it is nummerical...Quantitative variables answer questions such as "how many?" or "how much?"

 

Hi, 

If it takes 80 workers 10 days to build 12 cabins, 

how many workers will it take to build 16 cabins in 5 days

Note: 

    = 213.3  or 214 men

 

Hi,

surface area of a cube(side length ) is 384 cm^2: , x = 8cm

Another cube is one unit longer on each edge: therefore  9cm

 surface area of the second cube =  = 486 cm^2

 

Hi,

A 6ft tall tent standing next to a cardboard box casts a 9ft shawdow

cardboard box casts a shawdow that is 6ft...how tall is it?

Sets Up the Proportion:

     ||Cross Multiplying to solve

     9x = 36

      x = 36/9 = , how tall the box is

 

Hi, 

a 8 foot rope is tied from the top of a pole to a stake in the ground,

forming a 57 degree  angle with the ground.. sin57 = opp/hyp = opp/8ft

height of the pole = 8sin(57) = 6.7ft

 

Hi, 

slope of } that passes through points: 

(-5,5) and 

(-8,8)