<h3>Calculate the volume of the sphere</h3>
To start finding the volume of this sphere, we get the following data:
To find the volume we apply the following formula:
, where
- v = volume
- π = pi
- r = radius
We substitute our data in the formula and solve:
Substituting values into the equation
Calculate exponent cubed
Multiplying
Therefore, the volume of the sphere is 32 ft³.
Answer: 184
Step-by-step explanation:
The nth term of am arithmetic sequence is calculated as:
Nth term= a+(n-1)d
where a = first term
d = common difference
a = -10
d = -8 -(-10) = -8+10 = 2
98th term= a+(n-1)d
= -10 + (98-1)(2)
= -10 + (97×2)
= -10 + 194
= 184
The 98th term of the arithmetic sequence is 184
You can set up a system of equations for this problem. x= number of coach tickets and y = number of first class tickets.
$210x + $1200y = $10,230 (cost of coach ticket plus cost of first class tickets is total budget)
x + y = 11 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 11 - x, then plug that into the first equation and solve for x:
$210x + $1200(11 - x) = $10,230
$210x + $13,200 - $1200x = $10,230
-$990x + $13,200 = $10,230
-$990x = $2,970
x = 3
Sarah bought x = 3 coach tickets. Plug that into the second equation and solve for y:
3 + y = 11
y = 8
Sarah bought y = 8 first class tickets.
Answer:
-4
Step-by-step explanation:
