Answer:
Henry's balloon was farther from the town at the beginning and Henry's balloon traveled more quickly.
Step-by-step explanation:
The distance of Tasha's balloon from the town is represented by the function y = 8x+ 20 ............. (1)
Where y is the distance in miles from the town and x represents the time of fly in hours.
So, at the start of the journey i.e. at x = 0, y = 20 miles {From equation (1)} from the town.
Again, Tasha's balloon is traveling at a rate of 8 miles per hour.
Now, Henry's balloon begins 30 miles from the town and is 48 miles from the town after 2 hours.
So, Henry's balloon traveling with the speed of miles per hour.
Therefore, Henry's balloon was farther from the town at the beginning i.e. 30 miles from the town. And Henry's balloon traveled more quickly i.e at the rate of 9 miles per hour. (Answer)
The equation is linear, as you can write
An integrating factor would be
Multiplying both sides of the ODE by this yields
where the LHS is a derivative:
![\dfrac{\mathrm d}{\mathrm dx}\left[x^{1/3}y\right]=4x^{1/3}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20d%7D%7B%5Cmathrm%20dx%7D%5Cleft%5Bx%5E%7B1%2F3%7Dy%5Cright%5D%3D4x%5E%7B1%2F3%7D)
Integrating both sides, we get
Answer:
APart 1:
A.53 =53
B.3^5/3^-6 =177147
C.(1/4)^3 • (1/4)^2 = 1 /1024
D.(-7)^5/(-7)^7 = 1/49
Step-by-step explanation:
I tried my best for part 2 but i'm pretty sure it's not right. I think 1/1024 and 1/49 has a value between 0 and 1
Answer:c
Step-by-step explanation:
C. 5, 13,12, 67,23, right angle
There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.
