Answer:
Step-by-step explanation:
<u>Equation for the Highland population</u>
<u>Equation for the Lowville population</u>
<u>Populations are equal after</u>
- 12200 + 300x = 21000 - 250x
- 300x + 250x = 21000 - 12200
- 550x = 8800
- x = 8800/550
- x = 16 years
A gardener purchases a ceramic planter, in the shape of a hemisphere, for a small batch of leftover annuals. The volume of a hemisphere is modeled by the function V = 2/3πr 3
<span>A. Write a model for the radius as a function of the volume. </span>
<span>B. The label on the planter says that it holds approximately 134 cubic inches of potting soil. What is the radius of the planter, rounded to the nearest inch? Use 3.14 for π </span>
<span>r = ∛[(3/2)V) / π] </span>
<span>134 = (2/3) (3/14) r^3 </span>
<span>r = ∛[(3/2) (134) / 3.14] ≈ 4.00 inches </span>
Answer:
Option b is correct 175
Step-by-step explanation:
n = 7
k = 6
3k -2 ------1
put k = 6 in above eq. for finding first term
a1 = 3(6) - 2 = 18 - 2 = 16
put k = 7 in above eq. for finding first term
a2 = 3(7) - 2 = 21 - 2 = 19
a3 = 3 (8) - 2 = 24 - 2 = 22
16, 19 , 22, ... //Arithmetic series formation
a1 = 16 , a2 = 19
d = a2 - a1 = 19 - 16 = 3 //Difference of first two terms
Using sum forumula for arithmetic series
sum = 
= 
= 
= 
= 
= 7 * 25
= 175
Answer:
The value of the expression is 80.
Step-by-step explanation:
14 - 6 = 8.
10 x 8 = 80.
