Answer:
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
S = 12/(1 -3/5) = 12·5/2 = 30
The series is convergent and has a sum of 30.
Answer:
22 yd
Step-by-step explanation:
Length is four times its width -----> L=4W
area of rectangle is 196 -----> 196=LW
Plug L=4W into 196=LW giving you 196=(4W)W
Simplify a bit 196=4W^2
Divide both sides by 4: 196/4=W^2
Simplify a bit: 49=W^2
Square root both sides: 7 or -7=W
The width is 7 yd
The length is 4(7)=28 yd
Now its final part is for you to find the perimeter of this rectangle. The rectangle is a 7 yd by 4 yd rectangle.
Double both then add.. 14+8=22 yd
Answer:
Not a function
Step-by-step explanation:
Since 2 different points have the same x-coordinte, the relation is not a function.
1 bed room = 12
2 bed room = 15
68 x 15 = 1020
57 x 12 = 684
-----------
1020 + 684 = $1704 (total made)
15 two-bed room + 12 one-bed room = 27 rooms in all
Answer:
5000kg/m3
Step-by-step explanation:
Its easy to get the answer of a question from the unit.
So, it will be mass over metre cube.
Therefore, m=40kg x= (0. 2)^3 =0. 008m
40/0. 008 = 5000kg/m^3
