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AURORKA [14]
2 years ago
15

Find the modulus if the complex number 6-8i

Mathematics
1 answer:
NikAS [45]2 years ago
6 0

|a+bi|=\sqrt{a^2+b^2}

|6-8i|=\sqrt{6^2+(-8)^2}=\sqrt{36+64}=\sqrt{100}=10

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A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i
Assoli18 [71]

Step-by-step explanation:

Rate of growth equals 420/100 = 4.2 times per hour

So after t=three hours,

size of culture = 100*(4.2)^t = 100*4.2^3=7408.8 bacteria,

round to nearest unit 7409 bacteria after three hours (after initial size of 100).

8 0
3 years ago
Read 2 more answers
A movie club offers two plans. Plan A charges $40 to sign up for the plan and $8 for each movie ticket. Plan B charges $67 to si
Travka [436]

Answer:

9

Step-by-step explanation:

X=Tickets bought

A=$40+$8x

B=$67+$5x

After 1 ticket bought it would be:

A=$48

B=$72

After 9 tickets bought:

A=$112

B=$112

From this you can see that Plan B is better for ones who would see 9+ movies as the recurring price would be lower. If you would only go to watch a couple movies, Plan A would be better.

3 0
4 years ago
Read 2 more answers
the temperature is already at 40 degrees it rises 4.5 degrees per minute how long will it take to get to 76 degrees​
Andrei [34K]

Answer:

It will take 8 minutes for the temperature to reach 76°

Step-by-step explanation:

The expression for the total temperature in degrees at time t can be written as;

T=I+EM

where;

T=total temperature

I=initial temperature

E=temperature increase per minute

M=number of minutes

This can also be written as;

total temperature=initial temperature+temperature increase per minute×number of minutes

In our case;

T=76°

I=40°

E=4.5°

M=m

replacing;

76=40+(4.5×m)

4.5 m=76-40=36

(4.5 m)/4.5=36/4.5

m=8

It will take 8 minutes for the temperature to reach 76°

7 0
4 years ago
What is the sign of the product (8)(−23)( −21)(−29)?
kodGreya [7K]
The answer would be D

3 0
3 years ago
Read 2 more answers
A pedestal for a statue is made with 405 cubic feet of concrete. a rectangular prism with a height of 9 feet. what is the area o
enyata [817]

45 square feet is the area of the base of the pedestal.

what is rectangular prism?

  • A rectangular prism is a 3D figure with 6 rectangular faces.
  • To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

we know that

The volume of the pedestal (rectangular prism) is given by the formula

   V =   B × h

where

B is the area of the rectangular base of pedestal

V = 405 ft³

h = 9 ft

put the given values in the formula and solve for B

405 = B × 9

B = 405/9

B = 45 ft²

Therefore, 45 square feet is the area of the base of the pedestal.

Learn more about rectangular prism

brainly.com/question/21308574

#SPJ4

3 0
2 years ago
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