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stiv31 [10]
3 years ago
15

Which has the same value as (4 + 3i)2?

Mathematics
1 answer:
LenaWriter [7]3 years ago
6 0
8+6i

Just multiply 2 by each in the parentheses
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Write an explicit formula for the sequence 7, 2, –3, –8, –13, find the 14th term
Ilia_Sergeevich [38]

The 14th term is equal to -44.

y = 12 - 5x

The sequence can be represented by this function.

Each term is being subtracted by 5.

Using this function we can find the 14th time.


y = 12 - 5(14)

y = 12 - 56

y = -44


6 0
3 years ago
Sketch a cylinder with radius 8 feet and height 3 feet, then find the volume.
4vir4ik [10]

Answer: 339.29ft^3

Step-by-step explanation:

The formula for a cylinder is πr^2h

In your scenario, r=8 and h=3 so put those into the equation -

π8^2(3) and just solve!

7 0
3 years ago
Finsh the lyric: Time to go the distance
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I believe I can fly, I believe I can’t touch the sky.
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3 years ago
Read 2 more answers
In the 1990s the demand for personal computers in the home went up with household income. For a given community in the 1990s, th
WITCHER [35]

Answer:

a) 0.5198 computers per household

b) 0.01153 computers

Step-by-step explanation:

Given:

number of computers in a home,

q = 0.3458 ln x - 3.045 ;   10,000 ≤ x ≤ 125,000

here x is mean household income

mean income = $30,000

increasing rate, \frac{dx}{dt} = $1,000

Now,

a) computers per household are

since,

mean income of  $30,000 lies in the range of 10,000 ≤ x ≤ 125,000

thus,

q = 0.3458 ln(30,000) - 3.045

or

q = 0.5198 computers per household

b) Rate of increase in computers i.e \frac{dq}{dt}

\frac{dq}{dt} = \frac{d(0.3458 ln x - 3.045)}{dt}

or

\frac{dq}{dt}=0.3458\times(\frac{1}{x})\frac{dx}{dt} - 0

on substituting the values, we get

\frac{dq}{dt}=0.3458\times(\frac{1}{30,000})\times1,000

or

= 0.01153 computers

6 0
3 years ago
Looking for some help!
klasskru [66]

Answer:

  • 5√2
  • 16

Step-by-step explanation:

<u>Use the property of 45 degree right triangles</u>

  • c = a√2, where c- hypotenuse, a = legs

<u>Top diagram</u>

  • x = 5√2

<u>Bottom diagram</u>

  • x = 8√2(√2) = 16

5 0
3 years ago
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