Answer: ![a_n=2(5)^{n-2}](https://tex.z-dn.net/?f=a_n%3D2%285%29%5E%7Bn-2%7D)
<u>Step-by-step explanation:</u>
The explicit rule for a geometric sequence is: ![a_n=a_1(r)^{n-1}\quad \text{where}\ a_1\ \text{is the first term and r is the ratio}](https://tex.z-dn.net/?f=a_n%3Da_1%28r%29%5E%7Bn-1%7D%5Cquad%20%5Ctext%7Bwhere%7D%5C%20a_1%5C%20%5Ctext%7Bis%20the%20first%20term%20and%20r%20is%20the%20ratio%7D)
The information provided is: a₁ =
and r = 5
![a_n=\dfrac{2}{5}(5)^{n - 1}\\\\.\quad = 2(5)^{n-2}](https://tex.z-dn.net/?f=a_n%3D%5Cdfrac%7B2%7D%7B5%7D%285%29%5E%7Bn%20-%201%7D%5C%5C%5C%5C.%5Cquad%20%3D%202%285%29%5E%7Bn-2%7D)
Answer:
![36\:miles](https://tex.z-dn.net/?f=36%5C%3Amiles)
Step-by-step explanation:
There is <em>one-and-a-half</em> <em>hour</em> in <em>ninety</em><em> </em><em>minutes</em>,<em> </em>so multiply 6 by 15 to get 90, then whatever is done to the bottom is also done to the top, so you <em>square</em> 6 to get 36.
I am joyous to assist you anytime.
Step-by-step explanation:
![\frac{y2 - y1 }{x2 - x1} = \frac{3 - - 2}{5 - 0} = \frac{5}{5} = 1](https://tex.z-dn.net/?f=%20%5Cfrac%7By2%20-%20y1%20%7D%7Bx2%20-%20x1%7D%20%20%3D%20%20%5Cfrac%7B3%20-%20%20-%202%7D%7B5%20-%200%7D%20%20%3D%20%20%5Cfrac%7B5%7D%7B5%7D%20%20%3D%201)
Answer:
Answer: f[c(p)] = 0.9265p
Step-by-step explanation:
Given: Jonah is purchasing a car that is on sale for 15% off. He knows the function that represents the sale price of his car is , where p is the original price of the car.
He also knows he has to pay 9% sale's tax on the car. The price of the car with tax is , where c is the sale price of the car.
Now, the composite function that can be used to calculate the final price of Jonah's car is given by :-
Answer: 42
For this situation we will use a ratio to show how many free throws Erin will make. Using the ratio 7:10 represents that Erin will make 7 out of every 10 free throws. You want to know how many free throws she will make if she attempts 60 free throws.
Using ratios we will be able to find how many free throws she will make if she attempts 60.
7:10
14:20
21:30
28:40
35:50
42:60
Basically we kept multiply the right side of the ratio which is 10 by 2 until we were at 60 free throws.
Erin will make 42 free throws if she attempts 60 free throws.