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Anestetic [448]
3 years ago
11

Check each true statement about the number 7- square root 3i

Mathematics
2 answers:
kumpel [21]3 years ago
8 0

Answer:

option-A

option-D

Step-by-step explanation:

We are given a complex number as

7-\sqrt{3}i

we know that whenever we have

a+bi

where

a is the real number

b is imaginary number

now, we can verify each statement

option-A:

we can see that

a=7

and

a is the real number

so, 7 will be real number

so, this is TRUE

option-B:

we know that

b=-\sqrt{3}

so, imaginary number is -\sqrt{3}

while it is mentioned square root 3 is the imaginary part of the number

so, this is FALSE

option-C:

We can see that coefficient of  i is b

and

b=-\sqrt{3}

so, this is FALSE

option-D:

we know that

'a' and 'b' are sum of real and imaginary number

so, this is TRUE

Doss [256]3 years ago
5 0

Answer:

the answers are A B D

Step-by-step explanation:

You might be interested in
Solve for a.<br> 4/a+4 =-1/a+9
Bad White [126]

Answer:

a = -8

Step-by-step explanation:

you can solve this proportion by cross-multiplying:

4(a + 9) = -1(a + 4)

now distribute to eliminate parentheses

4a + 36 = -1a - 4

5a + 36 = -4

5a = -40

a = -8

5 0
3 years ago
The manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour. (a-1) At α = .05 i
ioda

Answer:

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given sample size 'n' =16

Given the manufacturer of an airport baggage scanning machine claims it can handle an average of 560 bags per hour.

mean of the Population 'μ' = 560

Mean of the sample Χ⁻ = 538

sample standard deviation' S' = 50

<em><u>Null hypothesis</u></em><em>:H₀:μ > 560</em>

<em><u>Alternative Hypothesis</u></em><em>:H₁ : :μ < 560 (left tailed test)</em>

<em>Test statistic</em>

   t = \frac{x^{-}-mean }{\frac{S}{\sqrt{n} } }

  t = \frac{538-560 }{\frac{50}{\sqrt{16} } } = -1.76

|t| = |-1.76| = 1.76

<em>Degrees of freedom </em>

<em>γ = n-1 =16-1 =15</em>

t_{\frac{\alpha }{2} } = t_{\frac{0.05}{2} } =t_{0.025} =2.131

<em><u>Conclusion</u></em>:-

The calculated value t = 1.76 < 2.131 at 0.05 level of significance

Null hypothesis is accepted

The manufacturer’s claim is greater than 560 bags per hour

6 0
3 years ago
The length (L) of the figure is 11 mm and the width (w) is 9 mm. What is the perimeter of the shaded region? Round to the neares
Lera25 [3.4K]

Answer:

50.3 mm

Step-by-step explanation:

The perimeter of the shaded region = perimeter of a full circle + 2(Length)

= πd + 2(L)

diameter (d) = width = 9 mm

Length (L) = 11 mm

Perimeter of the shaded region = π*9 + 2(11)

= 50.2743339 ≈ 50.3 mm (nearest tenth)

7 0
2 years ago
PLEASSEEE HELP AS FAST AS YOU CAN!!! I put the picture. 10 points!!
iogann1982 [59]

Answer:

<h2>x = 129</h2>

Step-by-step explanation:

3 0
3 years ago
HELP<br> Which of the lines below has a slope of 0?
Juliette [100K]

Answer:

C has a zero slope

Step-by-step explanation:

A horizontal line has a slope of zero

A vertical line has an undefined slope

A positive slope goes up from left to right

A negative slope goes down from left to right

4 0
3 years ago
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