Answer: E=15
Step-by-step explanation: If you add 13 and 2 it adds up to 15, so E would have to be 15
Answer:
-196π
Step-by-step explanation:
F can be rewritten as
if S is the upper hemisphere
oriented upward, then the border of S is the circle C
traversed counterclockwise
By Stoke's theorem
where C is the circle of center (0,0,0) and radius 7 on the XY-plane traveled counterclockwise.
This circle can be parametrized as
<em>r(t) = (7cos(t), 7sin(t),0) with 0 ≤t ≤ 2π </em>
Computing the curve integral
![\bf \displaystyle\int_{C}F.dC=\displaystyle\int_{0}^{2\pi}F(r(t))\bullet r'(t)dt=\displaystyle\int_{0}^{2\pi}F(7cos(t),7sin(t),0)\bullet (-7sin(t),7cos(t),0)dt=\\\\=\displaystyle\int_{0}^{2\pi} (28sin(t),0,7cos(t)e^{7sin(t)})\bullet(-7sin(t),7cos(t),0)dt=\\\\-196\displaystyle\int_{0}^{2\pi}sin^2(t)dt=\boxed{-196\pi}](https://tex.z-dn.net/?f=%5Cbf%20%5Cdisplaystyle%5Cint_%7BC%7DF.dC%3D%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B2%5Cpi%7DF%28r%28t%29%29%5Cbullet%20r%27%28t%29dt%3D%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B2%5Cpi%7DF%287cos%28t%29%2C7sin%28t%29%2C0%29%5Cbullet%20%28-7sin%28t%29%2C7cos%28t%29%2C0%29dt%3D%5C%5C%5C%5C%3D%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B2%5Cpi%7D%20%2828sin%28t%29%2C0%2C7cos%28t%29e%5E%7B7sin%28t%29%7D%29%5Cbullet%28-7sin%28t%29%2C7cos%28t%29%2C0%29dt%3D%5C%5C%5C%5C-196%5Cdisplaystyle%5Cint_%7B0%7D%5E%7B2%5Cpi%7Dsin%5E2%28t%29dt%3D%5Cboxed%7B-196%5Cpi%7D)
The desired number is the difference between the number of messages sent by the 16th day and the number sent by the 9th day:
... n = t(16) - t(9)
... n = (40×√16) - (40×√9)
... n = 40×(4 - 3) = 40
40 text messages were sent between the ninth and sixteenth day of the month.
Answer:
Step-by-step explanation:
(5^3/2)^-2/3 = 0.2 ⇒ E
(256^0.5)^1.25 = 32 ⇒ C
(81^1/6)^3/2 = 3 ⇒ F
(1024^0.03)^20 = 64 ⇒ D
(1000^4/7)^7/3 = 10,000 ⇒ B
(49^5/2)^0.2 = 7 ⇒ A
Step-by-step explanation:
* Lets explain how to solve the problem
- If we have base x to a power n and all to the power of m then we
multiply the two powers to be one power on the base
- [(x^n)^m] = x^(nm)
* Lets solve the problem
∵
∴ (5^3/2)^-2/3 = 0.2 ⇒ E
∵
∵ 256 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^8
∴
∴ (256^0.5)^1.25 = 32 ⇒ C
∵
∵ 81 = 3 × 3 × 3 × 3 = 3^4
∴
∴ (81^1/6)^3/2 = 3 ⇒ F (answer F must be 3 not 0.333)
∵
∵ 1024 = 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2 = 2^10
∴
∴ (1024^0.03)^20 = 64 ⇒ D
∵
∵ 1000 = 10 × 10 × 10 = 10³
∴
∴ (1000^4/7)^7/3 = 10,000 ⇒ B
∵
∴ (49^5/2)^0.2 = 7 ⇒ A
Answer:
Inequality is when people or things are not the same or dont have the same benefits.
Step-by-step explanation:
i tried