<span>The equation given as p varies directly with d and inversely with the square root of u is written as:
</span>
p = k1d
k1 is the proportionality constant.
and p = k2
here k2 is the proportionality constant.
Thus,
combining both equations we get, p = C
where K = K1*K2, K is the proportionality constant.
The geometric sequence can be represented explicitly or as recursions
The explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
<h3>How to determine the explicit formula?</h3>
The sequence is given as:
2, 6, 18, 54, ....
Start by calculating the common ratio (r)
r = b2/b1
This gives
r = 6/2
Evaluate the quotient
r = 3
A geometric sequence is represented as:
b(n) = b1 * r^(n-1)
This gives
b(n) = 2 * 3^(n-1)
Hence, the explicit formula of the geometric sequence is b(n) = 2 * 3^(n-1)
Read more about geometric sequence at:
brainly.com/question/24643676
To express 3/13 as a decimal, we divide the the numerator by the denominator. This will give us:
3÷13
=0.23076923
simplifying the above we get:
0.230769...
thus the correct answer is a] <span>a. 0.230769</span>
Answer:
Yes
Step-by-step explanation:
1/8-10(3/4-3/8x)+5/8x
1/8-(30/4-30/8x)+5/8x
1/8-30/4+30/8x+5/8x
Lcm is 8
1-60+30x+5x/8
-59+35x/8
Factorise
-1/8(59-35x)
So when comparing the two,they are observed to be the same
x + x-5 + x +23 = 180
combine like terms:
3x +18 = 180
subtract 18 from each side:
3x = 162
divide both sides by 3
x = 162 / 3 = 54
Angle x = 54 degrees
Angle x-5 = 54-5 = 49 degrees
Angle x +23 = 54 +23 = 77 degrees
