5. Question 3 asked for two possible quadrant locations of the product of c + di and , where c, d, e, and f are positive real numbers. The product in question 4 was two complex numbers of the form c + di and , where c, d, e, and f are positive real numbers. You answered the quadrant location of this product.
Provide an example of two complex numbers in the form c + di and , where c, d, e, and f are positive real numbers such that their product lies in the other possible quadrant. Support your example by determining its product.

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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

          What is the mean of the dataset (10, 5, 7, 9, 5, 18)?

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

Mean [tex]\rightarrow[/tex] 9

[tex]\blue{\textsf{\textbf{\underline{\underline{How to solve:-}}}}[/tex]

               First, add all the numbers together:-

10+5+7+9+5+18

[tex]\textsf{54}[/tex]

Now divide by how many numbers there are (6):-

54:6=9

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Answer:

9

Step-by-step explanation:

To find the mean, add up all the numbers and then divide by the number of terms

(10+5+7+9+5+18)

54

There are 6 terms

54/6=9

The mean is 9

[tex] \frac{1}{3} [/tex]

the probability of the coin.

[tex]( \frac{1}{3} ) \times ( \frac{1}{3}) \times ( \frac{1}{3} )[/tex]

[tex] = \frac{1}{27} [/tex]

there's 1/27 chance of them to lie.

[tex]( \frac{2}{3} ) \times ( \frac{2}{3} ) \times ( \frac{2}{3} )[/tex]

[tex] = \frac{8}{27} [/tex]

there's 8/27 chance that all of them told the truth.

[tex]( \frac{8}{27} ) \div (( \frac{8}{27} ) + ( \frac{1}{27} ))[/tex]

[tex] = \frac{8}{9} [/tex]

therefore, between those two chances, it's an 8/9 chance it's actually Heads.

Answer:

Looking at the given points we know that it is going to be rectangle because we have 4 points.  Therefore the figure is a rectangle and the area formula would be [tex]A=l*w[/tex].

You can look at the attached graph and what we see is that our width of the rectangle is from [tex]y=-4[/tex] to [tex]y=3[/tex] which means that our height is 7 units wide.  We can also see that our length starts at [tex]x=-1[/tex] and ends at [tex]x=4[/tex] making us have a length of 5 units.

We then plug in the values and solve

[tex]A = 7\ units * 5\ units[/tex]

[tex]A = 35\ units^2[/tex]

Therefore, the area of our rectangle is [tex]35\ units^2[/tex]

Hope this helps!  Let me know if you have any questions

The option (C) LA and (D) ASA are correct because two angles and one side are the same.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

From the triangle DEF and triangle JKL

∠D = ∠J  (given)

∠F = ∠L  (given)

ED = KJ  (given)

∴ Triangle DEF and triangle JKL are congruent by the ASA

ΔDEF≅ΔJKL

Also:

∠F = ∠L  (given)

ED = KJ  (given)

ΔDEF≅ΔJKL by LA

Thus, the option (C) LA and (D) ASA are correct because two angles and one side are the same.

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Answer:

40 questions.

Step-by-step explanation:

By proportion:

80 %      is equivalent to  32 questions

So 100%  ..   ..   ..  ..   ..  ..   (32/80) * 100

= 32 * 5/4

= 160/4

= 40

Answer:

40

Step-by-step explanation:

80/100=32/x

You can also set this up with a diagram.

x=40

Answer: 3125m

Step-by-step explanation:

volume = h · d · w

V= 2.5 * 50 * 25

v= 3125

Answer:

0.805ft

Step-by-step explanation:

she determines the surface area of material she needs to create

Answer:

(0,∞) , {y|y>0}

Step-by-step explanation:

======================================================

Explanation:

In other words,

N is some positive whole number.

Add up all those expressions and set the sum equal to the 150 books total. Solve for N.

(1st stack) + (2nd stack) + (3rd stack) = total

(2N+30) + (2N) + (N) = 150

(2N+2N+N) + 30 = 150

5N + 30 = 150

5N = 150-30

5N = 120

N = 120/5

N = 24 which is the number of books in the 3rd stack

2N = 2*24 = 48 is the number of books in the 2nd stack.

2N+30 = 2*24+30 = 48+30 = 78 books in the 1st stack

Check:

1st+2nd+3rd = 78+48+24 = 150

The answer is confirmed.

Answer:

24.00

Step-by-step explanation:

hope this helps

Answer:

angle 1 is 15, angle 2 is 75

Step-by-step explanation:

angles 1/2/3/4 is the same as 5/75 degrees/7/8 respectively

The number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation is a combination problem

Permutation has to do with arrangement while combination has to do with selection.

When choosing an object from other pool of object, we will have what is called combination.

From the given question, we are told that the number of ways you can choose 5 beach towels from a selection of 8 to bring on vacation, since they are selecting, hence the situation involves combination.

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Take 2 points

#a

Find slope

#b

Find equation y inetercept is our answer

b=635

#c

So

Answer:

We need 45 cups on onion

Step-by-step explanation:

green pepper : onion: tomato: total

1                          5              7        13

We have 117 total so divide by 13

117/13 = 9

Multiply each number by 9

green pepper : onion: tomato: total

1*9                        5*9        7*9        13*9

9                            45         63           117

We need 45 cups on onion

Answer:

the answer of first one is19

the answer of second is14

Answer:

less than

Step-by-step explanation:

Well pi divided by 2 is 1.57 and you need to figure out if 7.2 is greater than or less than pi^2 aka 1.57 so theres your ansewr

Answer:

greater

Step-by-step explanation:

π = 3.1425.....

π > 3

π^2 > 9 > 7.2

Answer:

D. Graph D

Step-by-step explanation:

First, off me know that that equation is in slope-intercept form.

Therefore, your y-intercept is (0,1)

Then you need to find the slope by using two points on a graph and using the y2-y1/x2-x1 equation.

Now you need to pay attention to the sigh. It's [tex]\leq[/tex].

That means it is greater than or equal to ur y-intercept, it must be shaded do the side of numbers greater to 1 (ur y-intercept.)

Giving you D.

Answer:

it 152 u have to add 3 time like this

90+10+30+ it gives you 152

Step-by-step explanation:

hope this works or help

Answer:

(E) $39.16

Step-by-step explanation:

listed price = $48.95

discounted price on saturday = $48.95 x 80% = $39.16

Answer:

  50.8°

Step-by-step explanation:

The mnemonic SOH CAH TOA is intended to remind you of the relationship between side lengths and trig functions for a right triangle. Here, you are given the short side and the hypotenuse, and asked for the largest acute angle.

__

The short side is adjacent to the largest acute angle, so the relevant relation is ...

  Cos = Adjacent/Hypotenuse

  cos(β) = (2√6)/(2√15) = √0.4

The angle measure is found using the inverse cosine function:

  β = arccos(√0.4) ≈ 50.8°

The larger acute angle is about 50.8°.

Answer:

seventh tenths as a decimal are 0.7

Answer:

200 students

Step-by-step explanation:

If 40/68 students prefer cheese pizza, we can take the proportion and carry it over by doing 340/68, which is 5.

5 x 40 = 200.

The correct statement is the first one. g(x) exceeds f(x) by 72.

By looking at the table, we can see that f(x) is a linear function and g(x) is an exponential function, such that:

f(x) = 10 + 3x

g(x) = (1/2)^x

By evaluating these functions in x = -6 we get:

[tex]f(-6) = 10 - 3*6 = -8[/tex]

[tex]g(-6) = (1/2)^{-6} = 64[/tex]

The difference is:

g(-6) - f(-6) = 64 + 8 = 72

Then the correct option is the first one, g(x) exceeds f(x) by 72.

If you want to learn more about functions:

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Answer:

Find the Volume of a Cylindrical Tank whose radius is 10cm and the height is 21cm. (Take π = [tex] {\bold{\frac{22}{7}}}[/tex])

We know that,

[tex] \quad [/tex][tex] \quad [/tex][tex] { \boxed{ \sf{Volume \: of \: Cylinder =\pi {r}^{2}h }}}[/tex]

➛ [tex] { \large{\frac{22}{7} \times {(10)}^{2} \times 21}} [/tex]

➛ [tex] { \large{ \frac{22}{7} \times 10 \times 10 \times 21 }} [/tex]

➛ [tex] { \large{ \frac{22}{7} \times 100 \times 21 }} [/tex]

➛ [tex] { \large{ \frac{22}{{ \cancel{7}} ^{1} } \times 100 \times { \cancel{21}}^{3} }} [/tex]

➛ [tex] 22 \times 100 \times 3 [/tex]

➛ [tex] 22 \times 300 [/tex]

➛ [tex] { \boxed{ \green{6600{ \rm{ {cm}^{3}}} }}} [/tex]

Thus, The volume of Cylindrical Tank is[tex]{ \bold{ \: 6600{ { \bold{ {cm}^{3}}} }}}[/tex].

Answer:

not sure if this is correct but i tried (1267200 feet)

Answer:

21120 ft

Step-by-step explanation:

We need to change 8 miles per hour to feet per minute

8 miles      5280 ft      1 hour

----------- * ----------      * ----------

hour          1 mile          60 minutes

704 ft/ minute

Now multiply by 30 minutes

704 ft / minute * 30 minutes =21120 ft

Answer:

the equations they're equal

Step-by-step explanation:

3.75 divided by 5 = 0.75

7.50 divided by 10 = 0.75

12.00 divided by 16 = 0.75