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Over [174]
3 years ago
5

Simplify 8i^6+6i^5-5i^3-3i^2-7i-9 A) -14+4i B) -4+4i C) -10i D) -14-18i

Mathematics
2 answers:
kipiarov [429]3 years ago
7 0
The answer is A) -14 + 4i. God bless!
poizon [28]3 years ago
7 0

Answer:

The simplified form of complex expression is -14+4i

A is correct.

Step-by-step explanation:

Given: 8i^6+6i^5-5i^3-3i^2-7i-9

As we know, i^2=-1

i^6=-1

i^5=i

Put the value and simplify i

\Rightarrow 8(-1)+6(i)-5(-i)-3(-1)-7i-9

\Rightarrow -8+6i+5i+3-7i-93

Combine the like term and simplify it

\Rightarrow (-8+3-9)+(6i+5i-7i)

\Rightarrow -14+4i

Hence, The simplified form of complex expression is -14+4i

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Which is a translation of the shaded figure?
borishaifa [10]

Figure 2 is the translation of the provided figure.

Step-by-step explanation:

The translation is a very common term in applied geometry. It refers to the shifting of the figure without subjecting it to any kind of rotation, reflection or scaling.  

The original image that is to be translated, is called pre-image after the process of translation. While the translated image is called image.

In the given figure, Only figure 2 seems to be in the same orientation as of the original image. Hence, figure 2 is the image after a translation

5 0
3 years ago
A study on the population of wolves is being done in a county to determine how the number of wolves has changed over time. The p
mr_godi [17]

Answer:

<h2>The year is 2010.</h2>

Step-by-step explanation:

The population of wolves is given by P(t) = 80(0.98)t.

The study has began in the year of 2000 and will end in 2020.

The difference between 2000 and 2009 is 9 years and the difference between 2009 and 2020 is 11 years.

Hence, the maximum value of t is 11.

The domain is 0 \leq t \leq 11.

The population will be 80, that is P(t) = 80.

Hence, 0.98t = 1, or, t = \frac{1}{0.98} = \frac{100}{98}  = \frac{50}{49} ≅1.

In (2009 + 1) = 2010, the population of wolves will be 80.

3 0
3 years ago
Heather has a coin that has a 60\%60%60, percent chance of showing heads each time it is flipped. She is going to flip the coin
Elza [17]

Answer:

(5/3) (0.60)^3(0.40)^2

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Conver the equation y=2 to polar form. Then solve the resulting equation for r. <br> Thanks :)
maksim [4K]
This is something to memorize

y = r*sin(theta)

so if y = 2, then 

2 = r*sin(theta)

Divide both sides by sin(theta) to get

r = 2/sin(theta)
r = 2csc(theta)
8 0
3 years ago
Which statement is true about the graphed function?
Semmy [17]

A function is positive if it lies above the x axis.

This function is positive before x = -4, i.e. over the interval (-\infty, -4)

It is negative elsewhere, i.e. over the interval (-4, \infty)

So, the only correct option is the second one.

6 0
3 years ago
Read 2 more answers
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