3 years ago

What is the modulus of 2 – 3i?

1 answer:

8 0

A modulus is pretty much just the square root of x^2 + y^2, where y is the number that stands with the imaginary “i” and x is the real number. In this case, x is 2 and y is 3, so your modulus would be the square root of 4 + 9 (2^2 + 3^2), or the square root of 13.

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A parcel delivery service will deliver a package only if the length plus girth (distance around) does not exceed 84 inches. (A

Kisachek [45]

Answer:

A. 14x14x28

B. The maximum volume is 5488 cuibic inches

Step-by-step explanation:

The problem states that the box has square ends, so you can express volume with:

$v=x^{2} y$

Using the restriction stated in the problem to get another equation you can substitute in the one above:

$4x+y=84\\\\$

Substituting <em>y</em> whit this equation gives:

$v=x^{2} (84-4x)\\\\v=84x^{2} -4x^{3}$

Now find the limit of <em>x</em>:

$\frac{84x^{2}-4x^{3}}{dx}=168x-12x^{2}\\\\x=\frac{168}{12}=14$

Find the length:

$y=84-4(14)=28$

You can now calculate the maximum volume:

$v=(14)^{2}(28)= 5488$

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3 years ago

Suppose that events a and b are mutually exclusive with p(a) = ½ and p(b) = ⅓.

irina1246 [14]

No, a & b are not independent if they're mutually exclusive.

Mutually exclusive means the two events cannot occur simultaneously. So if "a" happens "b" cannot. In contrast, two events are independent if the occurrence of one has no effect on the occurrence of the other.

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4 years ago

hi easy question. Just want to know how fast you can answer this question. What is 5•5 whoever answer's this question gets Brain

Damm [24]

Answer:

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3 years ago

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