The value of the expression Z² + Q² is 4321
<h3>How to evaluate the expression?</h3>
The radius of the chocolate spheres is given as:
r = 2
The maximum number of chocolates that can fit in a spherical capsule is calculated as:
Max = R³/r³
Where:
R represents the radius of the sphere.
For the spherical capsule whose radius is 8 inches, we have:
Z = 8³/2³
Evaluate
Z = 64
For the spherical capsule whose radius is 5 inches, we have:
Q = 5³/2³
Evaluate
Q = 15.625
Remove decimal
Q = 15
So, we have:
Z² + Q² = 64² + 15²
Evaluate the exponent
Z² + Q² = 4096 + 225
Evaluate the sum
Z² + Q² = 4321
Hence, the value of Z² + Q² is 4321
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Answer:urrrrrrrr uhhhh figure out ok gosh
Step-by-step explanation:
Answer:
the modulus of a complex number z = a + bi is:
Izl= √(a²+b²)
The fact that n is complex does not mean that n doesn't has a real part, so we must write our numbers as:
m = 2 + 6i
n = a + bi
Im + nl = 3√10
√(a² + b²+ 2²+ 6²)= 3√10
√(a^2 + b^2 + 40) = 3√10
squaring both side
a²+b²+40 = 3^2*10 = 9*10 =90
a²+b²= 90 - 40
a²+b²=50
So,
|n|=√(a^2 + b^2) = √50
The modulus of n must be equal to the square root of 50.
now
values a and b such
a^2 + b^2 = 50.
for example, a = 5 and b = 5
5²+5²=25+25= 50
Then a possible value for n is:
n = 5+5i
Answer: 41-7=m
Mike is 34 yrs
Step-by-step explanation:
