Answer:
a(8) = -0.0027
Step-by-step explanation:
The most general formula for a geometric sequence is a(n) = a(1)*r^(n-1), where a(1) is the first term and r is the common ratio.
Here, the formula becomes a(n) = 6*(-1/3)^(n-1).
Substitute 8 for n to find the eighth term:
a(8) = 6*(-1/3)^(8-1), or a(8) = 6(-1/3)^7, or a(8) = -0.0027
Answer:
Step-by-step explanation:
We have the cone and the half-sphere.
The formula of a volume of a cone:
r - radius
H - height
We have r = 7cm and H = (22-7)cm=15cm. Substitute:
The formula of a volume of a sphere:
R - radius
Therefore the formula of a volume of a half-sphere:
We have R = 7cm. Substitute:
The volume of the given shape:
Substitute:
Answer:
$9$
Step-by-step explanation:
Given: Thea enters a positive integer into her calculator, then squares it, then presses the $\textcolor{blue}{\bf\circledast}$ key, then squares the result, then presses the $\textcolor{blue}{\bf\circledast}$ key again such that the calculator displays final number as $243$.
To find: number that Thea originally entered
Solution:
The final number is $243$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $243$ must be $324$.
As previously the number was squared, so the number before $324$ must be $18$.
As previously the $\textcolor{blue}{\bf\circledast}$ key was pressed,
the number before $18$ must be $81$
As previously the number was squared, so the number before $81$ must be $9$.
Answer:
slope = - 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 5, 7 ) and (x₂, y₂ ) = (2, 5 )
m = 
= 
= -
Answer:i think its -5 because if you subtract 5 from 10 then its five hnd a negative times a negative is a positive
Step-by-step explanation:
