We are given with
a1 = 2
r = 4
These are components of a geometric series. The first term is 2 and the common ratio is 4. To get the first six terms, we use the formula:
an = a1 r^(n-1)
a1 = 2 (4)^(1-1) = 2
a2 = 2 (4)^(2-1) = 8
a3 = 2 (4)^(3-1) = 32
a4 = 2 (4)^(4-1) = 128
a5 = 2 (4)^(5-1) = 512
a6 = 2 (4)^(6-1) = 2048
Answer: x=0.6435011
Step-by-step explanation:
Take the inverse tangent of both sides of the equation to extract
x
from inside the tangent.
x
=
arctan
(
3
4
)
Evaluate
arctan
(
3
4
)
.
x
=
0.6435011
The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from
π
to find the solution in the fourth quadrant.
x
=
(
3.14159265
)
+
0.6435011
Simplify the expression to find the second solution.
Tap for more steps...
x
=
3.78509376
Find the period.
Tap for more steps...
π
The period of the
tan
(
x
)
function is
π
so values will repeat every
π
radians in both directions.
x
=
0.6435011
+
π
n
,
3.78509376
+
π
n
, for any integer
n
Consolidate the answers.
x
=
0.6435011
+
π
n
, for any integer
n
Answer:
333.15 Kelvin (K)
Step-by-step explanation:
When you convert from Celsius to Kelvin, you add 273.15
60 C + 273.15 = 333.15 K
So, that is the answer. Hope this helps!
Answer:
2k
Step-by-step explanation:
Add:
-k + 3k
or
-1k + 3k
2k
(You have to add -1 + 3)
Hope this helps :)
Answer:
3rd option.
Step-by-step explanation:
= 4
move 5 to the other side of the equation.
2|k| = 5(4)
2|k| = 20
move 2 to the other side of the equation.
|k| = 
k = 10
