Answer:
The velocity is v(t) = 2*t + a
a) we want to find the average velocity betwen t = 0 and t = 1.
We can do this as:
Average = (v(1) + v(0))/2 = (2*1 + a + 2*0 + a)/2 = 1 + a
b) now we want to find the total distance traveled in the time lapse from t = 0 to t = 4.
For this we can see the integral:
![d = \int\limits^4_0 {2*t + a} \, dt = 4^2 + a*4 - 0^2 - a*0 = 4^2 + a*4 = 16 + a^2](https://tex.z-dn.net/?f=d%20%3D%20%5Cint%5Climits%5E4_0%20%7B2%2At%20%2B%20a%7D%20%5C%2C%20dt%20%3D%204%5E2%20%2B%20a%2A4%20-%200%5E2%20-%20a%2A0%20%3D%204%5E2%20%2B%20a%2A4%20%3D%2016%20%2B%20a%5E2)
Answer:
The fence will cost $333.64
Step-by-step explanation:
In order to calculate how much it'll cost to build the fence around his garden we first need to know the length of material he'll need to buy. To do that we must find the length of the circle that surrounds the garden and then multiply by the price of each foot. The length of the circle is given by:
length = 2*pi*r
length = 2*pi*15
length = 30*pi
length = 94.25 feet
The cost of the fence, is:
cost = length*(cost per foot) = 94.25*3.54
cost = 333.64
The fence will cost $333.64
4. 5x+6.25
5.2x+40
6.3x+ -6
7. 1x+ 1/5
insurance money/sum of all expenses * 100 %
= 90/ (650+150+130+90+80) * 100
90/1100 *100
= 90/11 * 1 (i cancelled the zeros)
= 8.18181818%
final answer = he spent 8.18 bar % of his budget on car insurance
hope this helps
Answer:
C. the diameter would be 10 making the answer 10pi
Step-by-step explanation:
the diameter would be 10 making the answer 10pi
2(5)pi
10pi