B the only solution is X=9/10 therefore making it only one solution
Answer:
the total amount of water supplier per hour to the region within a circle of radius R=110 ( that is from distance r, 0<r<110)
Step-by-step explanation:
if f(r) describes the water supplied at a distance r , the total amount supplied inside a region that goes from 0 until the circle of radius R, is the sum of all f(r) values from 0 until R, that is the integral value over these limits.
The formula deduction can be found in the attached picture
There is an "r" that multiplies e^-r as result of changing from rectangular coordinates to polar ones.(dx*dy --> r*dr*da)
Answer:
$90.75
Step-by-step explanation:
103*100=(13.5%+100%)*x
10300=113.5x
x=10300/113.5
x=90.74889868
x=$90.75
STEP 1:
find the portion size used to freeze; subtract all cups used from total cups of chopped tomatoes
= total cups - (cups used already)
= 25 cups - (5 1/2 + 3 3/4)
convert all to improper fractions
= 25/1 - (11/2 + 15/4)
find common denominator
= 100/4 - (22/4 + 15/4)
add in parentheses
= 100/4 - 37/4
subtract numerators
= 63/4 cups left to freeze
STEP 2:
divide cups left into 3 equal portion sizes
= 63/4 ÷ 3
to divide fractions; multiply by reciprocal of 3
= 63/4 * 1/3
multiply numerators; multiply denominators
= (63*1)/(4*3)
= 63/12
simplify by 3
= 21/4
convert back to mixed number
= 5 1/4 cups
ANSWER: There are 5 1/4 cups in each portion she froze.
Hope this helps! :)