6+3=9 because if you put 9-6=3 and they are fact families
The solution to the problem is as follows:
let y = asinx + bcosx
<span>
dy/dx = acosx - bsinx </span>
<span>
= 0 for max/min </span>
<span>
bsinx = acosx </span>
<span>
sinx/cosx = a/b </span>
<span>
tanx = a/b </span>
<span>
then the hypotenuse of the corresponding right-angled triangle is √(a^2 + b^2) </span>
<span>the max/min of y occurs when tanx = a/b </span>
<span>
then sinx = a/√(a^2 + b^2) and cosx = b/√(a^2 + b^2) </span>
<span>
y = a( a/√(a^2 + b^2)) + b( b/√(a^2 + b^2)) </span>
<span>
= (a^2 + b^2)/√(a^2 + b^2) </span>
<span>
= √(a^2 + b^2)</span>
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The correct relation for the sea gull population is: P(t) = 5.3t^(11/7)
Answer:
d. about 66.5 hundred thousand
Step-by-step explanation:
Given that :
P(t) = 5.3t^(11/7)
Population, P is in hujdred thousand ; t = number of years
Population after 5 years ;
t = 5
P(5) = 5.3 * 5^(11/7)
P(5) = 5.3 * 5^1.5714285
P(5) = 5.3 * 12.542422
P(5) = 66.474840
P(5) = 66.5 (approximately)
Hence, population after 5 years will be about 66.5 hundred thousand.
if ur saying 1 13/15 divided by 1 2/5 then the answer is
The exact form : 4/3
Decimal form : 1.3
Mixed number form : 1 1/3
Answer:
2.41 * n = y
Step-by-step explanation:
From the table, we can notice that the value;
y/n is a constant for each of the rows
this represents the individual costs of each of the books
So, we have it that;
7.23/3 = 4.82/2 = 9.64/4 = $2.41
So, the books have a unit cost of $2.41
Hence, by multiplying the number of books n by 2.41 we can get the cost y
So mathematically, we have the relation as;
2.41 * n = y