Option B:
The 12th term is 354294.
Solution:
Given data:
and 
To find 
The given sequence is a geometric sequence.
The general term of the geometric sequence is
.
If we have 2 terms of a geometric sequence
and
(n > K),
then we can write the general term as
.
Here we have
and
.
So, n = 7 and k = 4 ( 7 > 4)


This can be written as



Taking cube root on both sides of the equation, we get
r = 3




Hence the 12th term of the geometric sequence is 354294.
<h2>☀️
<u>Solution</u><u>:</u></h2>
We all know that,
- All animals have 2 eyes.
- All cows have 4 feet
- All hens have 2 feet
So, Let the no. of cows be x and chickens be y
According to question,
- Total number of eyes = 162
Framing equation,
⇛ Eyes of cows + Eyes of chickens = 162
⇛ 2x + 2y = 162
⇛ 2(x + y) = 162
⇛ x + y = 162/2 = 81 -----------(1)
According to question(Cond.-1)
- Total number of feet = 270
Framing equation,
⇛ Feet of cows + Feet of chickens = 270
⇛ 4x + 2y = 270
⇛ 2(2x + y) = 270
⇛ 2x + y = 135 ----------(2)
Subtracting eq.(1) from eq.(2),
⇛ 2x + y - (x + y) = 135 - 81
⇛ 2x + y - x - y = 54
⇛ x = 54
Putting value of x in eq.(1),
⇛ 54 + y = 81
⇛ y = 81 - 54
⇛ y = 27
⚘ So, Total number of animals,
- Number of cows = x = 54
- Number of chickens = y = 27
Hence, solved !
<u>━━━━━━━━━━━━━━━━━━━━</u>
<span><span>470-390=80
80/2=40
The wind is 40 mph
What does find the speed of the wind in still air mean? The wind is not still air!
Do you mean find the speed of the wind or find the speed of the plane in still air? Try reading your post before clicking submit.
470-40=430
390+40=430
The plane in still air goes 430 mph
</span><span>
</span></span>
Answer:
Option B that is (2,6) is correct
Explanation:
We have been given with system of equations
and 
Here, we will substitute the value of
in 
We will get 
Further simplification we will get to 
Hence, the value of 
And now, substituting the value
in
we will get
.
Therefore, option B is correct.
Answer:
f(0) = 3
Step-by-step explanation:
To evaluate f(0), substitute x = 0 into f(x) , that is
f(0) = - 3(0 - 1) = - 3 × - 1 = 3