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.
Answer:
0.96*10 is 9.6.
Step-by-step explanation:
Answer:
initial speed given to the rock is v= 147.46 m/s
Step-by-step explanation:
Since the player kicks the rock horizontally , then its initial vertical speed is always vy₀=0 and thus the time to hit the pool is independent of the speed given to the rock . t is calculated through
0 = y + vy₀*t - 1/2*g*t² = y+ 0 - 1/2*g*t²
then
t = √(2*y/g) = √(2*31 m/ 9.8 m/s²) = 2.515 s
when the rock hits the water , the sound wave travels diagonally a distance D and is heard by the player. the distance D is
D= v sound * T
the time the sound wave travels is T= 3.6 s - 2.515 s = 1.085 s and v sound= 343 m/s
then
D= v sound * T = 343 m/s* 1.085 s = 372.155 m
since the distance D is also
D= √(x² + y²)
then the horizontal distance x is
x= √(D² - y²)= √[(372.155 m)² - (31 m)²] = 370.861 m
since the rock hits the water at t = 2.515 s , the horizontal velocity of the ball ( and thus the initial speed given to the ball since there is no acceleration in the horizontal direction if we depreciate air friction)
v=x/t = 370.861 m/2.515 s = 147.46 m/s
Answer:
<h2> D=C/4</h2>
Step-by-step explanation:
Given that elevation of the cities are
A=72 feet
C=24 feet
D=1/4 of C
The expression for the elevation of city D is
D=C/4
substituting C=24 in the expression we have
D=24/4
D=6
The answer is positive because the elevation is above sea level
