Show me the picture for I can help u
Answer:
5/6
Step-by-step explanation:
the reciprocal of any fraction is the fraction flipped
Answer: The correct option is (D) 196608.
Step-by-step explanation: We are given to find the value of the 9th term in the following geometric sequence :
3, 12, 48, 192, . . .
We know that
the n-th term of a geometric sequence with first term a and common ratio r is given by
![a_n=ar^{n-1}.](https://tex.z-dn.net/?f=a_n%3Dar%5E%7Bn-1%7D.)
For the given sequence, we have
first term, a = 3 and the common ratio, r is given by
![r=\dfrac{12}{3}=\dfrac{48}{12}=\dfrac{192}{48}=~~.~~.~~.~~=4.](https://tex.z-dn.net/?f=r%3D%5Cdfrac%7B12%7D%7B3%7D%3D%5Cdfrac%7B48%7D%7B12%7D%3D%5Cdfrac%7B192%7D%7B48%7D%3D~~.~~.~~.~~%3D4.)
Therefore, the 9th term of the given sequence will be
![a_9=ar^{9-1}=3\times 4^8=3\times65536=196608.](https://tex.z-dn.net/?f=a_9%3Dar%5E%7B9-1%7D%3D3%5Ctimes%204%5E8%3D3%5Ctimes65536%3D196608.)
Thus, the required 9th term of the given sequence is 196608.
Option (D) is CORRECT.
1 = B 2 = C I hope it helps
Let's start by solving the first equation.
a) -3 = 7 + 2t/3
To begin simplifying this equation, we should multiply both sides by 3 to get rid of the denominator on the right side of the equation.
-9 = 7 + 2t
Next, we should subtract 7 from both sides to cancel out the 7 on the right side.
-16 = 2t
Finally, we should divide both sides by 2.
t= -8
Now let's move on to the next equation.
b) 4(5x-2) = 7(2x+3)
Let's use the distributive property to get rid of the parentheses and their coefficients.
20x-8 = 14x + 21
Now, lets subtract 14x from both sides of the equation.
6x - 8 = 21
Next, let's add 8 to both sides of the equation.
6x = 29
And divide both sides by the coefficient of x, which is 6.
x = 29/6 or 4 5/6
Now for the last equation.
C) 2x - 6 = 20 - 2.5x
First, we should add 2.5x to both sides to cancel out the -2.5x on the right side of the equation.
4.5x - 6 = 20
Now, let's add 6 to both sides to get the variable term alone.
4.5x = 26
Finally, we should divide both sides by 4.5 to get x by itself.
x = 5 7/9
Hope this helps! :)