An orchard contains 30 apple trees, each of which yields about 450 apples over the growing season. The owner plans to add more
1 answer:
Answer
given,
apple tree in orchard = 30
yield of apple = 450 apples
yield reduced per tree = 8 apples
number of trees added be x
trees added to maximize the yield = ?
total yield = (30 + x)(400 - 8 x )
T = 12000- 240 x + 400 x - 8 x²
T = - 8 x² + 160 x + 12000
max will occur when
x = 10 (to be added)
maximum yields = - 8 (10²) + 160 x 10 + 12000
= 12800 apple
maximum yield of the orchard is 12800 apple
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Answer:
The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.
Step-by-step explanation:
The given expression is
We factor the left hand side to get:
We divide both sides by: a-b
Observe that the difference of a and b is in the denominator.
The whole is of the form:
The value of x is inversely proportional to the difference of <em>a</em> and <em>b</em>.
Answer:
Step-by-step explanation:
A complex number is defined as z = a + bi. Since the complex number also represents right triangle whenever forms a vector at (a,b). Hence, a = rcosθ and b = rsinθ where r is radius (sometimes is written as <em>|z|).</em>
Substitute a = rcosθ and b = rsinθ in which the equation be z = rcosθ + irsinθ.
Factor r-term and we finally have z = r(cosθ + isinθ). How fortunately, the polar coordinate is defined as (r, θ) coordinate and therefore we can say that r = 4 and θ = -π/4. Substitute the values in the equation.
Evaluate the values. Keep in mind that both cos(-π/4) is cos(-45°) which is √2/2 and sin(-π/4) is sin(-45°) which is -√2/2 as accorded to unit circle.
Hence, the complex number that has polar coordinate of (4,-45°) is