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tresset_1 [31]
3 years ago
15

How do you solve for x in this equation. 4^x-3=18

Mathematics
1 answer:
Lostsunrise [7]3 years ago
3 0

Answer:

x = ln(21)/ ln(4), Decimal Form: 2.19615871

Step-by-step explanation:

This is pretty complex math for middle school with logarithms and what not. Make sure you typed the problem in correctly. If you did, I guess that's your answer.

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A farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the bar
jeyben [28]

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)

3 0
3 years ago
Match the vocabulary word to its correct definition.
Trava [24]

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.

4 0
3 years ago
Why will percent of change always be represented by a positive number?
Murljashka [212]
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. 
3 0
3 years ago
Determine when domain increases
Svetllana [295]

Answer:

Step-by-step explanation:

[0,7)

because the dot is colored in you need to have the bracket

6 0
3 years ago
The class decides to make chocolate chip cookies for Mr. Burn’s first day of school in September. Each student needs 3⁄4 of a st
VladimirAG [237]

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

3 0
3 years ago
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