Answer:
1/6
Step-by-step explanation:
The paper slips in the jar are numbered 1, 2, 3, 4, 5, 6, ..., 12.
Only 5 and 10 are evenly divisible by 5.
Thus, the probability of picking a number that is divisible by 5 is 2/12, or 1/6.
Answer:
The general solution of the given differential equation
Step-by-step explanation:
Step(I):-
Given differential equation
y⁴+18y"+81y=0
⇒ (D⁴+18D²+81)y =0
The auxiliary equation
we will use formula ( a + b)² = a² + 2 a b + b²
⇒ ( m² + 9 ) ² = 0
⇒ ( m² + 9 ) ( m² + 9 ) = 0
m² + 9 = 0
The complex roots are 0± 3 i ,0 ± 3 i
<em>Step(ii)</em>:-
The complementary function
The general solution of the given differential equation
The general solution of the given differential equation
Hey mate ,
here is your answer
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The average between any two rational numbers is also rational.
(7.7 + 7.9)/2 = 7.8
7.8 is rational because it can be written as a fraction with integer numerator and denominator (39/5) and it is also a terminating decimal.
The three main trig functions are sine (written as sin), cosine (written as cos), and tangent (written as tan).
Sine of an angle = the length of the side opposite (aka across) the angle / the length of the hypotenuse
Cosine of an angle = the length of the side adjacent (aka the side next to which isn't the hypotenuse) to the angle / the length of the hypotenuse
Tangent of an angle = the length of the side opposite of the angle / the length of the side adjacent to the angle.
The acronym to remember this is SOHCAHTOA
SOH | CAH | TOA
SOH means sin(x) = opposite/hypotenuse
CAH means cos(x) = adjacent/hypotenuse
TOA means tan(x)= opposite/adjacent
cosB = length of adjacent side/length of hypotenuse = 7/25
tanB = length of opposite/length of adjacent = 24/7
sinB = length of opposite/length of hypotenuse = 24/25
Answer:
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Step-by-step explanation: