Answer:
$17.0625
Step-by-step explanation:
9.75 a ticket
As it is 15% every year, in 5 years it would cost 75% more
75% of 9.75 is 7.3125
9.75 + 7.3125 = 17.0625
Answer:
Step-by-step explanation:
The formula for determining the volume of a sphere is expressed as
Volume = (4/3) × πr³
The volume of the given sphere is expressed as 288π inches³. It means that
(4/3) × πr³ = 288π
4r³/3 = 288
4r³ = 3 × 288 = 864
r³ = 864/4 = 216
Taking cube root of both sides, it becomes
r = 6
The formula for determining the surface area of a sphere is expressed as
Area = 4πr²
π = 3.14
Therefore,
Surface area = 4 × 3.14 × 6² = 452.16 inches²
Answer
C. (5/2, -1/3)
Step by step explanation
Here we use the rational root theorem.
The possible roots are
+1, +3, +5, +15, +1/2, +3/2, +5/2, +15/2, +1/3, +5/3, +1/6 and +5/6
We have to use the synthetic division to find the correct root of this function.
Here the roots are 5/2 and -1/3
Others are not roots of this function.
Let's check x = 5/2 with synthetic division.
5/2) 6 -13 13 -39 -15
- 15 5 45 15
--------------------------
6 2 18 6 0
Similarly x = -1/3 is also root of this function.
Answer: C. (5/2, -1/3)
Answer:
Step-by-step explanation:
Note that:
Two angles are Complementary when they add up to 90 degrees
Two angles are supplementary when they add up to 180 degrees
Let the angle = x
If the complement of an angle is equal to the supplement of four times the angle, then find the measure of the angle.
90 - x = 180 - 4x
So domain is the number you can use
range is the output your get from inputting the domain given
so from 2≤x≤5
since it is linear, we can be sure that we only need to test the endpoints of the domain to find the endpoints of the range
sub 2 for x
y=2(2)+1
y=4+1
y=5
sub 5 for x
y=2(5)+1
y=10+1
y=11
so range is from 5 to 11
in interval notation: [5,11]
in other notation 5≤y≤11
or
R={y|5≤y≤11}
