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Andrews [41]
3 years ago
15

Simplify

(6 - 8i)" alt="4(2 + 3i) -2 (6 - 8i)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
seraphim [82]3 years ago
6 0
Hi there.

4(2 + 3i) - 2(6 - 8i); apply the distributive property.
8 + 12i - 12 - 16i; combine like-terms.
-4 - 4i is your final expression.

I hope this helps!
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I believe your answer is 53
5 0
3 years ago
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Dina and Masha started out on a 12 mi bike path at the same time. When Dina reached the end of the 12 mi, Masha still had 3 mi l
Anna35 [415]

Answer:

6 mph

Step-by-step explanation:

Use formula

D=r\cdot t,

where

D = distance

r = rate

t = time

In your case,

D = 12 mi

<u>Dina:</u>

D = 12 mi

r = 8 mph

t = ?

So,

12=8t\\ \\t=\dfrac{12}{8}=\dfrac{3}{2}=1.5\ hours

<u>Masha:</u>

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Then

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6 0
3 years ago
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A coin is tossed 72 times. What is a reasonable prediction for the number of
Aneli [31]

Answer :

That’s it, the probability of getting tail on a single coin toss times the number of observations.

In this case, 1/2 * 72 = 36

However, there’s something called chance error. How much do you expect the result to differ from the expected value? It can be calculated as follows:

The Standard Deviation of this experiment is  √(0.5)(0.5) =0.5

The Standard Error is  √72 (0.5) ≈ 4.18330 round to the nearst tenth is 4

So, the expected value is 36, give or take 4.

And since the number of tails in a toss coin experiment is normally distributed, then you can expect the number of tails to be between -2 and +2 SEs from the expected value 95% of the time.

In other words, if you repeat this experiment a large number of times, you can expect to obtain between 27 and 43 tails 95% of the time.

Hope this helps

4 0
2 years ago
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I am Lyosha [343]

Answer:

area of shaded region: 21.07 ft²

<u>Given for semi circle:</u>

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<u>Given for rectangle:</u>

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<u>Find area of rectangle:</u>

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14 * 7

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<u>Find the area of semi circle:</u>

1/2 * π * r²

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76.93 ft²

<u>Area of shaded region:</u>

area of rectangle - area of semi-circle

98 ft² - 76.93 ft²

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8 0
2 years ago
The dimensions of a rectangle are given in terms of s as shown below
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