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sukhopar [10]
3 years ago
11

Find the term independent of x in the binomial expansion of (x^3 - 1/2x) ^12

Mathematics
1 answer:
german3 years ago
6 0
Hello,

Well done!
(x^3-0.5x)^12=x^12*(x^2-0.5)^12
Independent term is 0.

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Identify the quotient in the form a + bi. HELP ASAP PLEASE!!
Step2247 [10]

Solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

So, Option A is correct.

Step-by-step explanation:

We need to solve the expression: \frac{4-5i}{2+3i}

Multiplying and dividing by 2-3i

=\frac{4-5i}{2+3i}*\frac{2-3i}{2-3i}\\=\frac{4-5i*2-3i}{2+3i*2-3i}\\=\frac{4(2-3i)-5i(2-3i)}{(2)^2-(3i)^2}\\=\frac{8-12i-10i+15i^2)}{4-9i^2}\\We\,\,know\,\, i^2=-1\\=\frac{8-12i-10i+15(-1)}{4-9(-1)}\\=\frac{8-15-12i-10i}{4+9}\\=\frac{-7-22i}{13}\\=-\frac{7}{13}-\frac{22i}{13}

So, solving the expression \frac{4-5i}{2+3i} we get -\frac{7}{13}-\frac{22i}{13}

So, Option A is correct.

Keywords: Complex numbers

Learn more about Complex numbers at:

  • brainly.com/question/10736268
  • brainly.com/question/4678474

#learnwithBrainly

8 0
3 years ago
The length of a rectangle is six times its width. If the perimeter of the rectangle is 98 yd , find its area.
kumpel [21]
P=2(W + L)
p= 2W + 2L
98=2W + 2(6W)
98=2W + 12W
98=W
98/14=14W/14
W=7

L= 6W
L = 6(7)
L= 42

CHECK
p=2(7 +42)
p=2(49)
p= 98

Area of a rectangle = W X L
Area of a rectangle = 7 X 42
Area of a rectangle = 294
4 0
3 years ago
Five students visiting the student health center for a free dental examination during National Dental Hygiene Month were asked h
kirza4 [7]

Answer:

95% confidence interval for the mean number of months is between a lower limit of 6.67 months and an upper limit of 25.73 months.

Step-by-step explanation:

Confidence interval is given as mean +/- margin of error (E)

Data: 5, 15, 12, 22, 27

mean = (5+15+12+22+27)/5 = 81/5 = 16.2 months

sd = sqrt[((5-16.2)^2 + (15-16.2)^2 + (12-16.2)^2 + (22-16.2)^2 + (27-16.2)^2) ÷ 5] = sqrt(58.96) = 7.68 months

n = 5

degree of freedom = n-1 = 5-1 = 4

confidence level (C) = 95% = 0.95

significance level = 1 - C = 1 - 0.95 = 0.05 = 5%

critical value (t) corresponding to 4 degrees of freedom and 5% significance level is 2.776

E = t×sd/√n = 2.776×7.68/√5 = 9.53 months

Lower limit of mean = mean - E = 16.2 - 9.53 = 6.67 months

Upper limit of mean = mean + E = 16.2 + 9.53 = 25.73 months

95% confidence interval is (6.67, 25.73)

3 0
2 years ago
I need help plss. I will give you a lot of points I promise
Alekssandra [29.7K]
Slope=0.005/2.000=0.002
p - intercept = 974/1 = 974.00000
n- intercept = 974/-404 = 487/-202 = -2.41089


Oh and it is ok if you don’t have a lot of points I am great full for the points you are giving me and the answer is C)13,094 and can I have the brainliest since the other guy clearly did not answer the question right I only have one brainliest ☺️
8 0
3 years ago
Read 2 more answers
What is 11inches redistributed equally among the 12 months
marissa [1.9K]
0.916 is your answer
3 0
3 years ago
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