Hi,
Let assume a the west side,
b the length of the north wall (i suppose the answer is smaller then the barn.
Cost of the fence= a*6+a*12+b*12=3000 $.
So 3a+2b=500==>b=(500-3a)/2
Area =a*b=a(500-3a)/2= 250a-3/2a²
Derivate the area ==> 250-3a=0
==> a=250/3 and b=(500-3*250/3)/2=125
Width=125 (feet)
Length=250/3=83.333 (feet)
Answer:
1. Complex number.
2. Imaginary part of a complex number.
3. Real part of a complex number.
4. i
5. Multiplicative inverse.
6. Imaginary number.
7. Complex conjugate.
Step-by-step explanation:
1. <u><em>Complex number:</em></u> is the sum of a real number and an imaginary number: a + bi, where a is a real number and b is the imaginary part.
2. <u><em>Imaginary part of a complex number</em></u>: the part of a complex that is multiplied by i; so, the imaginary part of the complex number a + bi is b; the imaginary part of a complex number is a real number.
3. <em><u>Real part of a complex number</u></em>: the part of a complex that is not multiplied by i. So, the real part of the complex number a + bi is a; the real part of a complex number is a real number.
4. <u><em>i:</em></u> a number defined with the property that 12 = -1.
5. <em><u>Multiplicative inverse</u></em>: the inverse of a complex number a + bi is a complex number c + di such that the product of these two numbers equals 1.
6. <em><u>Imaginary number</u></em>: any nonzero multiple of i; this is the same as the square root of any negative real number.
7. <em><u>Complex conjugate</u></em>: the conjugate of a complex number has the opposite imaginary part. So, the conjugate of a + bi is a - bi. Likewise, the conjugate of a - bi is a + bi. So, complex conjugates always occur in pairs.
Percent of change will always be positive because the change is an absolute value. As we know, absolute value is always a positive value because you don't pay attention to the direction, only the distance is important.
Answer:
Step-by-step explanation:
[0,7)
because the dot is colored in you need to have the bracket
Answer:
10 1/2 sticks, or 11 sticks with half a stick left over.
Step-by-step explanation:
If every student (and there are 14 students) needs 3/4 stick of butter, the equation is 3/4 x 14 = 10 1/2
