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kifflom [539]
2 years ago
13

Write the expression (2−3i)+5i(1−3i) as a complex number in standard form.

Mathematics
1 answer:
Katarina [22]2 years ago
5 0

Answer:

17 + 2i

Step-by-step explanation:

Given

(2 - 3i) + 5i(1 - 3i) ← distribute both parenthesis

= 2 - 3i + 5i - 15i²  [ i² = - 1 ]

= 2 + 2i + 15

= 17 + 2i ← in standard form

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Solve the slope…. pls
Zielflug [23.3K]

Answer:

slope = 5/7

Step-by-step explanation:

Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):

We can use the slope formula:

m = \frac{y2 - y1}{x2 - x1}

Let (x1, y1) = (-7, 0)

(x2, y2) = (0, 5)

Plug these values into the slope formula:

m = \frac{y2 - y1}{x2 - x1} = \frac{5 - 0}{0 - (-7)} = \frac{5}{7}

Therefore, the slope is 5/7

4 0
2 years ago
HELP!!! WILL GIVE BRAINLIEST TO CORRECT ANSWER!!!!!!!
iren2701 [21]
The answer is c. hope that helped
4 0
3 years ago
which has a greater effect on the volume - changing the radius by a given amount or changing the height by the same amount/ why?
AURORKA [14]
Assuming we’re talking about a cylinder, whose volume formula is V = pi r^2 h…

It will have a greater effect to change a variable’s value that has a greater power on it.

Changing h from 1 to 2 doubles the volume.
Changing r from 1 to 4 quadruples the volume, because 1^2 = 1 and 2^2 = 4. The effect of the change on r is amplified by the power.
3 0
3 years ago
Read 2 more answers
I would really appreciate if someone would help me i don’t understand
alekssr [168]

Answer:

D. 48

Step-by-step explanation:

In the experiment, 16/40 landed exactly on heads. If you do 16/40 * 3/3 = 48/120.

This means that you can estimate 48 of the next 120 trials have 2 coins showing heads.

6 0
3 years ago
assuming the growth rate stays constant at 1.2%, how many doublings would take place in a 500- year period?
Juliette [100K]

9514 1404 393

Answer:

  8.6

Step-by-step explanation:

The growth factor per year is 1.012, so in 500 years is ...

  1.012^500

The number of doublings is the solution to ...

  2^n = 1.012^500

Taking logarithms, we have ...

  n·log(2) = 500·log(1.012)

  n = 500·log(1.012)/log(2) ≈ 8.6046

About 8.6 doublings will take place in 500 years.

3 0
2 years ago
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