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mel-nik [20]
3 years ago
9

Which complex number is equivalent to (7-9i)-(-1+3i)?

Mathematics
1 answer:
son4ous [18]3 years ago
8 0
Just like algebra
i lis like x
distribute invisible -1 to second set
-1(-1+3i)=1-3i

now we have
7-9i+1-3i
8-12i
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PSEG Long Island charges its residential customers a little monthly service charge plus an energy charge based on the amount of
german

Using linear function concepts, it is found that:

  • a) It costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.
  • b) f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

------------------------------

A <em>linear function </em>has the format given by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

The equation for the cost of h kilowatt hours (kWh) of electricity used in excess of 250 kWh is of:

C = f(h) = 37.6 + 0.1h

Item a:

  • The slope is of m = 0.1, which means that it costs $0.1 for each kilowatt hour of electricity used in excess of 250 kWh.

Item b:

f(90) = 37.6 + 0.1(90) = 37.6 + 9 = 46.6

250 + 90 = 340.

f(90) = 46.6, which is the cost of 340 kWh of consumption in a month.

A similar problem is given at brainly.com/question/24808124

8 0
2 years ago
Find the volume of the triangular prism as pictured below with a = 7 cm, b = 4
nydimaria [60]

Answer:

48

Step-by-step explanation:

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Base area = ½*base*height

base = c = 3 cm

height = b = 4 cm

Base area = ½*3*4 = 6 cm²

Length of prism = d = 8 cm

Therefore,

Volume = 6 × 8 = 48 cm³

3 0
3 years ago
a) The quadratic 3x^2-12x-11 can be written in the form 3(x+a)^2+b. Find the values of a and b. b) Given that the solutions of t
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Answer:

Step-by-step explanation:

a) 3x^2-12x-11=3*x^2-3*2*2*x+3*4-23=3*(x^2-2*2x+2^2)-23=3*(x-2)^2-23

so  a= -2 ,b= -23

b) x1=[12+V(12^2-4*3* -11)]/6=12/6+V(144+132)/6=2+2/6V69=2+1/3V69=

2+V69/9=2+V23/3

c=2, d= 23/3

5 0
3 years ago
A cone has volume 3. If the cone's radius is 1, what is its height? If the cone's radius is 2, what is its height? If the cone's
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Answer:

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When you go back and check your work, 200 trees per acre times 235 acres equals 47000 trees.

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