The acceleration is defined as the ratio between the change in velocity and the time elapsed to perform such a change.
These "changes" are indicated with the capital greek letter delta, 
, and when you write 
you mean the difference between the finial and the inital values of the variable x:
So, the acceleration is defined as
In this case, the initial velocity is 35, the final velocity is 65. Assuming we start the clock at the beginning of the observation, the inital time is 0 and the final time is 5. So, we have
m/s^2
Answer:
Option D (4, -5)
Step-by-step explanation:
This question can be solved by various methods. I will be using the hit and trial method. I will plug in all the options in the both the given equations and see if they balance simultaneously.
Checking Option 1 by plugging (-4, -5) in the first equation:
-2(-4) + 6(-5) = -38 implies 8 - 30 = -38 (not true).
Checking Option 2 by plugging (-5, 4) in the first equation:
-2(-5) + 6(4) = -38 implies 10 + 24 = -38 (not true).
Checking Option 3 by plugging (1, -6) in the second equation:
3(1) - 4(-6) = 32 implies 3 + 24 = 32 (not true).
Since all the options except Option 4 have been ruled out, therefore, (4,-5) is the correct answer!!!
There’s a pattern to this and I’ll explain in the comments if you want to know or can’t figure it out :)
1.) 27/x^3
2.) a^8/b^12
3.) 7^36/81 OR 13,841,287,201/81
4.) 256m^20/n^4
5.) x^6y^6
6.) 64k^4/k^6
7.) 1,000a^9b^6/a^6b^9
8.) 81x^21/625
9.) 2304/x^16y^12
10.) x^7z^14/y^21
11.) 7,776k^5
12.) x^24y^24/4,096
Hope it’s all helped
The first equation given 
We have to add 1 and 5 to the right side first. We will get,
To get rid of 6 from the right side we have to subtract 6 from both sides.
To find n we have to move -2 to the other side by dividing both side by -2.
So we have got the required answer for the first question.
The solution is n = 0.
The second equation given,
First we have to move 7x to the left side by subtracting it from both sides.
Now we have to move -2 to the right side by adding 2 to both sides.
We have got the required answer for the second question.
The solution is x = -7.
The third equation given,
We have to get rid of that negative sign from both sides. As we have negative sign to both sides we can cancel it out. We will get,
Now we have to move 4 to left side by subtracting it from both sides.
So we have got the required answer .
The solution is x = 4.
Answer:
<u>The volume of the cone is 1,102.7 feet³ (cubic)</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Radius = 9 feet
Height = 13 feet
2. What is the exact volume of the cone?
We will use the following formula to calculate the volume of the cone:
Volume of the cone = π * Radius² * Height/3
Volume of the cone = 3.1416 * 9² * 13/3
Volume of the cone = 3.1416 * 81 * 13/3
Volume of the cone = 3.1416 *9² * 13/3
<u>Volume of the cone = 1,102.7 feet³ (cubic)</u>
