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arsen [322]
3 years ago
12

The modulus of (3 - 4i)^4 is _____. 5 20 81 625

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

625

Step-by-step explanation:

The modulus of 3 - 4i is

\sqrt{3^2+(-4)^2} = \sqrt{9+16} = \sqrt{25} = 5, thus

| (3-4i)^{4} |

= 5^{4}

= 625

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The safety inspector in a large city wants to estimate the proportion of buildings in the city that are in violation of fire cod
storchak [24]

Answer:

Check Explanation.

Step-by-step explanation:

The sample will be a representative of the entire build us in the city.

For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %

The uncertainty in the estimate is given in the form of standard error.

Standard error = √[(p(1-p)/n]

n = sample size = 35, p = 0.0857, 1 - p = 0.9143

Standard error of the sample = √(0.0857×0.9143/35) = 0.1616

In terms of the population, (0.1616/35) = 0.00462

Proportion of buildings with fire code violations = (8.57 ± 0.462) %

8 0
3 years ago
A rectangular auditorium seats 1302 people. The number of seats in each row exceeds the number of rows by 11. Find the number of
sveticcg [70]
Number of seats = 42

Seats per row x row = 1302
s x r = 1302

rows + 11 = seats per row
r + 11 = s

s x r = 1302
(r + 11) x r = 1302
r^2 + 11r = 1302
r^2 + 11r - 1302 = 0
(r + 42) x (r - 31) = 0
r = -43 or 31

Cannot have negative rows so the number of rows is 31, and the number of seats per row is 31 + 11 = 42

Check: 31 x 42 = 1302 :)
8 0
3 years ago
This table shows the relationship of the total number of pieces of fruit to the number of bananas.
ddd [48]

Given:

The table that shows the relationship of the total number of pieces of fruit to the number of bananas.

To find:

Why is \dfrac{6}{5} not equivalent to \dfrac{3}{2}.

Solution:

If a, b, c are real numbers, then

\dfrac{a}{b}=\dfrac{a\times c}{b\times c}

The given fraction is \dfrac{3}{2}. It can be written as:

\dfrac{3\times 2}{2\times 2}=\dfrac{6}{4}

The number 3 is multiplied by 2 to get 6. So, the 2 should also be multiplied by 2. The ratio should be \dfrac{6}{4}, not \dfrac{6}{5}.

Therefore, the correct option is A.

3 0
2 years ago
If you spend 600 rupees per month, that is the amount of loan in 6 months. If he spends 440 rupees per month, he repays the loan
Marta_Voda [28]

Answer:

hjskkdoododkdkdndndndndndndndnsn sorry I needed points to ask a question

8 0
3 years ago
I'll give brainliest to whoever answers and gets it correct :))))) wrong answers and links will be reported
levacccp [35]

Answer:

y = 3x + 2; y = -x + 4

Step-by-step explanation:

Slope intercept form is in y = mx + b, where m is the slope and b is the y-intercept. In the first image, 2 is the y-intercept and 3 is the slope, yielding the equation y = 3x + 2.

For the second, 4 is the y-intercept and -1 is the slope, so the answer to the second image is y = -x + 4.

3 0
2 years ago
Read 2 more answers
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