Answer:
x=25
Step-by-step explanation:
they are supplementary and adjacent, thus you do 4x-3+3x+8=180, simplify and get 7x+5=180, subtract 5 from 180 which is 175, then ending up with 7x=175 and 175/7 is 25.
Answer:
a. k = 24 b. y =
Step-by-step explanation:
a. Find the value of the constant k
Since is a solution of d²y/dt² -10dy/dt + ky = 0, then must satisfy the equation.
So, d²y/dt² = and dy/dt =
So, d²y/dt² -10dy/dt + ky = 0
- 10() + k() = 0
- + = 0
- + = 0
- = -
So, k = 24
b. Find the general solution to this equation.
Since k = 24, our equation is
d²y/dt² -10dy/dt + 24y = 0
The characteristic equation is thus
m² - 10m + 24 = 0
Factorizing this we have
m² - 6m - 4m + 24 = 0
m(m - 6) - 4(m - 6) = 0
(m - 6)(m - 4) = 0
m - 6 = 0 or m - 4 = 0
m = 6 or m = 4
Since we have real roots for the characteristic equation, then, the general solution is
y =
3.495 is written in fraction as 395/100 and in simplest form as 79/20 and in mixed fraction as (3)19/30
P.S: it is 3 whole
hope this helps :)
Answer:
480in^3
Step-by-step explanation:
So to find the answer for this, you want to find the separate volumes of each of the rectangular prisms. The formula for volume is V=Ah where A is the area of the base. So for the bigger prism, V=(8)(10)(5)=400. For the smaller prism, V=(5)(4)(4)=80. So then you just add 400+80 to get the total area, and you should get 480!
Answer:
Im going to steal all of ur points
Step-by-step explanation: