Answer:
<h3>The 7th term is
1458</h3>
Step-by-step explanation:
For a geometric sequence
U(n) = ar^n - 1
Where
n is the number of terms
r is the common ratio
a is the first term
From the sequence
a = 2
r = - 6 /2 = -3
U(n) = 2(-3) ^ n - 1
For the 7th term
U(7) = 2(-3) ^ 7 - 1
= 2(-3)^6
The final answer is
= 1458
Hope this helps you
Answer:
The ball holds 113.0 cubic inches of air
Step-by-step explanation:
Firstly we need to know the shape of the ball
A ball is spherical in shape
So to know the number of cubic inches, we have to find the volume of air in the ball
Mathematically, we can do this by finding the volume of the ball using the formula for the volume of a sphere
The formula for the volume of a sphere is ;
V = 4/3 * pi * r^3
in this case, r = d/2 = 6 /2 = 3 inches
where r is the radius of the ball and d is the diameter of the ball
So, substituting these values , we have
V = 4/3 * 3.14 * 3^3 = 113.0 cubic inches
Answer:
Step-by-step explanation:
P(A|B) = P(A and B) / P(B)
Total number of cards = 52
a)
Let A denotes the event that the card is a diamond and B denotes the card is red.
b)
Let A denotes the event that the card is red and B denotes the card is diamond.
c)
Let A denotes the event that the card is nine and B denotes the card is red.
d)
Let A denotes the event that the card is a king and B denotes the card is a face card.
−1/3⋅(8 1/7)
change 8 1/7 to an improper fraction
8 1/7 = (7*8 +1)/7 = 57/7
-1/3 * 57/7
-57/21
21 goes into 57 2 times with 15 left over
-2 15/21
divide top and bottom of the fraction by 3
-2 5/7
Choice B
6a+12=2(3a-8)
6a+12=6a-16
-12. -12
6a=6a-4
-6a -6a
0=-4
no solution because the equation is false.
