To solve the problem w must know about the Associative property.
<h2>Associative property</h2>
The associative property states that the addition of the sum of two numbers (a,b) and a third number(c) is equal to the addition of the sun of the last two numbers(b, c) and the first number(a).
The property that will allow Carmen to do this without changing the value of the expression is the Associative property.
<h2>Explanation</h2>
Given to us
<h3>Associative property.</h3>
Now, using Associative property,
(6.21 + 0.93 ) + 0.07
= 6.21 + (0.93 + 0.07)
=6.21 + (0.93 + 0.07)
Hence, the property that will allow Carmen to do this without changing the value of the expression is the Associative property.
Learn more about Associative property:
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Answer:
2a (3-4a)
Step-by-step explanation:
(2a+1)-4a(2a+1)+4a
2a+1-8a²-1+4a
= 2a+4a-8a²
=6a-8a²
= 2a(3-4a)
We start with 20,000. Every year t, we decrease 3,000. Thus, each year the car depreciates by 3,000 every year.
B
Basically, what this asks you is to maximize the are A=ab where a and b are the sides of the recatangular area (b is the long side opposite to the river, a is the short side that also is the common fence of both corrals). Your maximization is constrained by the length of the fence, so you have to maximize subject to 3a+b=450 (drawing a sketch helps - again, b is the longer side opposite to the river, a are the three smaller parts restricting the corrals)
3a+b = 450
b = 450 - 3a
so the maximization max(ab) becomes
max(a(450-3a)=max(450a-3a^2)
Since this is in one variable, we can just take the derivative and set it equal to zero:
450-6a=0
6a=450
a=75
Plugging back into b=450-3a yields
b=450-3*75
b=450-225
b=215
Hope that helps!
The area of the circle is approximately 50
<h3>Areas</h3>
The area of a shape is the amount of space occupied by the shape
<h3>Area of circle</h3>
Given the three radius of the circle, the area of the triangle is calculated using:
From the figure, we have:
--- the radius
So, we have:
Approximate
Hence, the area of the circle is approximately 50
Read more about areas at:
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