Answer:
x= 5
Step-by-step explanation:
first we open brackets
12x-8=52
then transpose
12x= 52+8
12x= 60
x= 60/12
x= 5
hope it helps , pls mark me as brainliest
Answer:
, all integers where n≥1
Step-by-step explanation:
we know that
The explicit equation for an arithmetic sequence is equal to
a_n is the th term
a_1 is the first term
d is the common difference
n is the number of terms
we have

Remember that
In an Arithmetic Sequence the difference between one term and the next is a constant, and this constant is called the common difference.
To find out the common difference subtract the first term from the second term

substitute the given values in the formula

The domain is all integers for 
Answer:
Negative
Step-by-step explanation:
We are given with the following given
dV/dt = 35 m3/min
h = (3/2)D
What is asked is
dr/dt at t = 7 min
The volume of a cone is
V = (1/3)πr²h
From the given
h = (3/2)D
since D = 2r
h = 3r
Subsituting
V = πr³
At t = 7 min, the volume is
V = 35(7)
V = 245
and the radius is
245 = πr³
r = 4.27
Differentiating the volume
dV/dt = 3πr² dr/dt
From the given
dV/dt = 35
Subsituting
35 = 3πr² dr/dt
So,
dr/dt = 0.20 m/s
and
dh/dt = 0.60 m/s
The answer is H= (1/2) b/A