To determine how many acres would minimize cost, we need to differentiate the expression given and set it to zero and obtain the value of x. We do as follows:
C(x) = 0.2x^2 - 12x +240
C'(x) = 0.4x - 12
0 = 0.4x - 12
x = 30 acres <---------amount of flowers needed to minimize cost
<em>The measure of PQ is 12.72</em>
<h2>
Explanation:</h2>
We have the right triangle ΔPQR and we want to know the measure of PQ. PQ is opposite to ∠R, so from trigonometry we know that:

<h2>Learn more:</h2>
Right triangles: brainly.com/question/10252821
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Answer:
brainlest plzzzzzz 50
Step-by-step explanation:
pemdas
so u you do brackets first
13-6=7
7-6=1
next you do multiplication and division
48/1=48
next is addition and subtraction
48+4=52
52-2=50
so you awnswer is 50
In the addition problem attached, the letters H = 2, E = 3, A = 9. See the explanation below.
<h3>What is the explanation for the above?</h3>
In the problem, A depicts a single digit i.e; A < 9.
=> 4H<10
=>H<3
i.e; H should be 1 or 2.
In units column, 4E should have H in units place in the result. i.e; 1 or 2
As 4E is always an even number, H cannot be 1.
=> H = 2
If H = 2, E can be 3 or 8 for 4E to end in 2.
If E = 8, the result will be a three-digit number => E = 3
So if H = 2 and E = 3
A = 9
Therefore, the letters
H = 2,
E = 3, and
A = 9.
Learn more about addition problems:
brainly.com/question/24530307
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a) Acceleration is the derivative of velocity. By the fundamental theorem of calculus,

so that


b) We get the displacement by integrating the velocity function like above. Assume the object starts at the origin, so that its initial position is
. Then its displacement over the time interval [0, 3] is

c) The total distance traveled is the integral of the absolute value of the velocity function:

for
and
for
, so we split the integral into two as


