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sineoko [7]
3 years ago
13

Which expression represents the number 12.3 rewritten in a+bi form?

Mathematics
1 answer:
kipiarov [429]3 years ago
6 0

Answer:

The correct option is;

12.3 + 0i

Step-by-step explanation:

The form a + b·i is the complex number form where the variables a and b are real numbers and i is the square root of -1, √(-1) that is i² = -1. As the answer to  √(-1), cannot be found among the real numbers, i, is known as an imaginary number.

As such  a given complex number of the form a + b·i, has a real, part or component, a, and an imaginary part, b.

The number 12.3, is a real number, therefore, representing the number in a complex number format, the imaginary part, b, would be zero, as follows;

12.3 + 0·i

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Solve for x in the figure below. Write your answer in simplest radical form. X = ____
Gnesinka [82]
A^2+b^2=c^2
7^2+11^2=?
49+121=170
x= Square root of 170

Hope this helps!! :)
7 0
3 years ago
An experiment was conducted to investigate whether there is a difference in mean bag strengths for two different brands of paper
Elanso [62]

Answer:

A two-sample t-test for a difference between sample means

Step-by-step explanation:

<u>Explanation</u>:-

A random sample of 50 bags from each of Brand X and Brand Y was selected

Given two sample sizes n₁ and n₂

Each bag was held from its rim, and one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

mean of ounces the first sample = x⁻

mean of the  second sample =y⁻

Given data one-ounce weights were dropped into the bag one at a time from the same height until the bag ripped

Standard deviation of the first sample = S₁

Standard deviation of the second sample = S₂

Now we use t - distribution for a difference between the means

t = \frac{x^{-}  -y^{-} }{\sqrt{S^{2}(\frac{1}{n_{1} }  +\frac{1}{n_{2} } } }

where

S^{2} = \frac{n_{1} S_{1} ^{2} +n_{2}S_{2} ^{2}  }{n_{1} +n_{2} -2 }

Degrees of freedom γ = n₁ +n₂ -2

3 0
4 years ago
Please select the best answer from the choices provided
FromTheMoon [43]

Answer:

\sqrt{122}

Step-by-step explanation:

Given that,

Vector n = 4i-j

Vector m = 3i+3j

We need to find the value of m+2n.

Put all the values,

m+2n = (3i+3j)+2(4i-j)

= (3i+3j)+8i-2j

=11i+j

Magnitude of vector,

|m+2n|=\sqrt{11^2+1^2} \\\\=\sqrt{121+1}\\\\=\sqrt{122}

So the correct option is (c).

6 0
3 years ago
17 Find x if mZRTU = 11x - 7, mZSTR = 2x + 16, and mZSTU = 152°. R. S T U​
sergij07 [2.7K]

Answer:

11

Step-by-step explanation:

Angle SRT + angle RTU = angle STU

11x - 7 + 2x + 16 = 152 add like terms

13x + 9 = 152

13x = 143

x = 11

6 0
4 years ago
Help me with this i tried it 4 times
Ivenika [448]

Answer:

65000

Step-by-step explanation:

(rounding to nearest thousands)

2014- 13000 sold

2015- 13000 more than 2014, so 26000

2016- same as 2016, 26000

just add them up-

13000+26000+26000= 65000

8 0
3 years ago
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