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zzz [600]
2 years ago
11

What is (3i)(-8i)(3+2i)

Mathematics
1 answer:
ELEN [110]2 years ago
7 0

Answer:

72+ 48i

Step-by-step explanation:

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How do you find the value of t in -t/7=1/15
kolezko [41]
First, multiply the 7 on both sides.
\frac{-t}{7} =  \frac{1}{15}
-t =  \frac{7}{15}
Finally divide by -1 on both sides to get t = -7/15 as your answer.
3 0
3 years ago
(5,-3), (5,8). Find slope
anzhelika [568]

Answer: 0 slope, horizontal line.

Step-by-step explanation:

when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.

7 0
3 years ago
A rectangular package sent by a postal service can have a maximum combined length and girth (perimeter of a cross sectio) of 108
Morgarella [4.7K]

Answer:

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

Step-by-step explanation:

This is a optimization with restrictions problem.

The restriction is that the perimeter of the square cross section plus the length is equal to 108 inches (as we will maximize the volume, we wil use the maximum of length and cross section perimeter).

This restriction can be expressed as:

4x+L=108

being x: the side of the square of the cross section and L: length of the package.

The volume, that we want to maximize, is:

V=x^2L

If we express L in function of x using the restriction equation, we get:

4x+L=108\\\\L=108-4x

We replace L in the volume formula and we get

V=x^2L=x^2*(108-4x)=-4x^3+108x^2

To maximize the volume we derive and equal to 0

\dfrac{dV}{dx}=-4*3x^2+108*2x=0\\\\\\-12x^2+216x=0\\\\-12x+216=0\\\\12x=216\\\\x=216/12=18

We can replace x to calculate L:

L=108-4x=108-4*18=108-72=36

The maximum volume of the package is obtained with a cross section of side 18 inches and a length of 36 inches.

4 0
3 years ago
Read 2 more answers
Simplify expression with rational exponents.
musickatia [10]
27^(4/3)+4^(3/2) can be simplified using roots.  

The cube root of 27 is 3 and the square root of 4 is 2.  This removes the denominators from the expression.  The expression is now 3^4+2^3.

Simplify this and you get 81+8=89
5 0
3 years ago
HURRY PLEASE!!!!
Nitella [24]

Answer:

130

Step-by-step explanation:

3 0
3 years ago
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