If y = cos(kt), then its first two derivatives are
y' = -k sin(kt)
y'' = -k² cos(kt)
Substituting y and y'' into 49y'' = -16y gives
-49k² cos(kt) = -15 cos(kt)
⇒ 49k² = 15
⇒ k² = 15/49
⇒ k = ±√15/7
Note that both values of k give the same solution y = cos(√15/7 t) since cosine is even.
Answer:
19
Step-by-step explanation:
9+10=19
The volume of the moving box will be 7776 cubic inches,.
<h3>What is the volume of the rectangular prism?</h3>
Let the prism with a length of L, a width of W, and a height of H. Then the volume of the prism is given as
V = L × W × H
V = Base area x height
A moving box has a square base with an area of 324 in².
Its height is 24 inches.
Then the volume of the moving box will be
V = Base area x height
V = 324 x 24
V = 7776 cubic inches
More about the volume of the prism link is given below.
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X=30
Put in proportions x/45 = 18/27.
Cross multiply and get 27x= 45 x 18
Or 27X = 810.
Next, divide by 27 on both sides to get X=30.
Total number of rotten mangoes in the bag = 6
Total number of good mangoes in the bag = 24
Fraction of the rotten mangoes to the total mangoes.
Total number of mangoes in the bag = Total number of rotten mangoes + Total number of good mangoes
➺
➺
Now,
Fraction = 
➺
➺
Therefore, the fraction of the rotten mangoes to the total mangoes is 
.
