There are 8 people who are attending a speed dating event. Each person has the chance to spend 5 minutes on a speed date, getting to know all of the other people at the event. How many unique speed dates will there be? Please help!!!

If x=3+bi, then

[tex]|x|=\sqrt{3^2+b^2}.[/tex]

You know that [tex]|x|^2=13,[/tex] then

[tex]\left(\sqrt{3^2+b^2}\right)^2=13,\\ \\ 9+b^2=13,\\ \\b^2=4,\\ \\b=\pm 2.[/tex]

Two possible complex numbers satisfy these conditions:

[tex]x_1=3+2i, \ x_2=3-2i.[/tex]

As you can see the possible value of b is 2.

Answer: correct choice is A.

The possible value of b in the given complex number is 2 (Option A). This is found by using the definition of modulus of a complex number and solving the resulting equation.

This question requires understanding of complex numbers and their modulus. A complex number is a number of the form a + bi, where a and b are real numbers and i is the imaginary unit with the property i^2 = -1.

|x|^2 represents the square of the modulus (or absolute value) of the complex number x which is defined as |x|^2 = a^2 + b^2. Given in the question, x = 3 + bi and |x|^2 = 13. Thus, by substitution, we get 13 = 3^2 + b^2.

Performing arithmetic operations, it's equivalent to b^2 = 13 - 3^2 = 4. To solve for b, we take the square root of both sides. Because b can be positive or negative, we get b = ±2. Therefore, from the options given, the possible value of b is 2 (Option A).

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Hi,

all of them multiplied together is 480.

1x8=8

8x5=40

40x2=80

Answer: 480

Step-by-step explanation:

Since commutative property can be used for multiplication, rewrite it as:

(1 x 8) x (5 x 12)

= 8  x  60

= 480

Answer:

Part 1) The units rates are

A) [tex]0.1165\frac{\$}{oz}[/tex]

B) [tex]0.1656\frac{\$}{oz}[/tex]

C) [tex]0.0516\frac{\$}{oz}[/tex]

D) [tex]0.0579\frac{\$}{oz}[/tex]

Part 2) The best buy is the size 48 1/4 oz

Step-by-step explanation:

we know that

To find out the unit rate divide the total cost by the total volume

Part 1) Calculate the unit rate for each size

case A) we have

8 1/2 ounce bottle costs $0.99

Convert mixed number to an improper fraction

[tex]8\frac{1}{2} =\frac{8*2+1}{2}=\frac{17}{2}\ oz[/tex]

Find the unit rate

[tex]\frac{0.99}{(17/2)}= 0.1165\frac{\$}{oz}[/tex]

case B) we have

18 2/2 oz. bottle costs $1.49

Convert mixed number

[tex]18\frac{2}{2} =18+1=19\ oz[/tex]

Find the unit rate

[tex]\frac{1.49}{19}= 0.1656\frac{\$}{oz}[/tex]

case C) we have

48 1/4 oz. carton costs $2.49

Convert mixed number to an improper fraction

[tex]48\frac{1}{4} =\frac{48*4+1}{4}=\frac{193}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{2.49}{(193/4)}= 0.0516\frac{\$}{oz}[/tex]

case D) we have

64 3/4 oz. carton costs $3.75

Convert mixed number to an improper fraction

[tex]64\frac{3}{4} =\frac{64*4+3}{4}=\frac{259}{4}\ oz[/tex]

Find the unit rate

[tex]\frac{3.75}{(259/4)}= 0.0579\frac{\$}{oz}[/tex]

Part 2) which size is the best buy

we know that

The best buy is the one with the smallest unit rate

so

[tex]0.0516\frac{\$}{oz}[/tex]

The best buy is the size 48 1/4 oz

Answer:Expert's right here WHY U LOOK AT ME

Step-by-step explanation:

Answer:

{x | x = 0.5 or x = 4.5}

Explanation:

Before we begin, remember that:

The modulus gives the positive value of what's inside it.

This means that:

|a| = |-a| = a

Now, for the given, we have:

|2x-5| = 4

From the above rule, we can deduce that:

either:

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 ............> first solution

Or:

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 ..........> second solution

Now, we check:

at x = 4.5: |2(4.5)-5| = |9-5| = |4| = 4 ..........> first solution verified

at x = 0.5: |2(0.5)-5| = |1-5| = |-4| = 4 .........> second solution verified

Hope this helps :)

Answer:

{x | x = 0.5 or x = 4.5}

Step-by-step explanation:

Answer: It is best solve using elimination method

Step-by-step explanation:

4x + y = 1 --------(1)

2x + y = 8---------(2)

subtract (2) from (1)

2x = -7

divide bothside by 2

2x/2 = -7/2

x= -7/2

we can substitute x = -7/2 in any of the equations.

Lets take equation (1)

4x + y = 1

4(-7/2) + y =1

2(-7) + y = 1

-14 + y = 1

y = 1+14

y =15

Write an expression that shows how to use the halving and doubling strategy to find 28x50

Halving strategy means we divide by 2

Doubling strategy means we multiply by 2

We apply halving strategy for 28 and doubling strategy for 50

Half of 28 is 14

Double of 50 is 100

So 14 * 100 = 1400

Now we check with 28 * 50

28 x 50 = 1400

So required expression is

[tex]\frac{28}{2} * (50*2)[/tex]

9/200

Find the GCD (or HCF) of numerator and denominator

GCD of 45 and 1000 is 5

Divide both the numerator and denominator by the GCD

45 ÷ 5

1000 ÷ 5

The word form of 53,200.4 would be fifty-three thousand, two hundred and four tenths.

Now remember, to say a number in a decimal in word form, you must remember the names for each placement.

.1 the one would be in the tenths

.01 the one would be in the hundredths; and

.001 the one would be in the thousandths.

Naya has $60. Each box of cupcakes costs $12.

60÷12=5

Naya can buy 5 boxes of cupcakes.

Hello!

[tex]x + 6 = x\\[/tex]

Explanation:

↓↓↓↓↓↓↓↓↓

First you had to subtract by the x from both sides of the equation.

[tex]x+6-x=x-x[/tex]

Then refine.

[tex]6=0[/tex]

Answer⇒⇒⇒⇒⇒The sides are not equal.

Answer⇒⇒⇒⇒⇒⇒There are no solution.

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

(A) is correct.

Remember to follow PEMDAS. Parenthesis goes first, or choice (A).

Hope this helps

need the image to see the answer

3.2c+1.7=24.1

First subtract 1.7 from both sides

3.2c=22.4

Now divide both sides by 3.2

c=7

Now put it in the equation.

3.2(7)+1.7=24.1

3.2c + 1.7 = 24.1'

c = (24.1 - 1.7) : 3.2

c = 22.4 : 3.2

c = 7

i think the answer is 37/20

Answer: $9000

A gym employee has earned in 3 months =$4500

Then his monthly salary =$4500/3 =$1500

After six months he will earn = 6 × his monthly salary

= 6×$1500=$9000

His salary table will be as follows

Hey there!!

Remember :-

=> Anything to the power 0, is always one.

In the question, is states at the last that the final answer is powered with zero.

Hence, the required answer is "1".

Hope my answer helps!!

C.

Any number that is over the denominator 9, will be repeating it self.

MPG= 30 4/5 or 30.8 is I think is the answer.

Answer:

[tex]unit\ rate=114 \frac{miles}{gallon}[/tex]

Step-by-step explanation:

Hello, I think I can help you with this

remember some properties of mixed numbers

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\ example\\3\frac{1}{5}= \frac{(3*5)+1}{5}=\frac{16}{5}\\[/tex]

Step 1

covert 28 1/2

a=28

b=1

c=2

[tex]a\frac{b}{c}=\frac{(a*c)+b}{c}\\28\frac{1}{2}= \frac{(28*2)+1}{2}=\frac{57}{2}=28.5\\[/tex]

Hence, the distance she drove is 28.5 miles

Step 2

find the  number of gallons

[tex]\frac{1}{4}=0.25[/tex]

then, she used 0.25 gallons to travel 28.5 miles

Step 3

find the unit rate for miles per gallon

[tex]unit\ rate=\frac{number\ of\ miles}{number\ of\ gallons}\\ unit\ rate=\frac{28.5\ miles}{0.25\ gallons}\\unit\ rate=114 \frac{miles}{gallon}[/tex]

Have a great day.

the original price was $1800 because if you multiple 1800 by 75 percent you get 1350 and 1800 - 1350 is equal to 450 your sale price

im going to say 3 but im not very good at math hope that helps

In order to identify the transformations from ABCD to A''B''C''D'', carefully analyze changes in position and orientation. If, for instance, you observe a translation to the right by 3 units followed by a clockwise rotation of 90 degrees about point P, the rule in symbolic notation would be: T(3, 0) • R(P, 90)(x, y)

Identify the individual transformations:

Examine the image carefully and determine what transformations are involved in mapping ABCD to A''B''C''D''. Common transformations include translations (shifting), reflections (flipping), and rotations (turning).

Look for clues like changes in position, orientation, or direction to identify the transformations.

Analyze the order of transformations:

Determine the sequence in which the transformations were applied. This is crucial because the order affects the final result.

Look for intermediate images (like A'B'C'D' in your case) that show the effects of individual transformations.

Write the rule in symbolic notation:

Once you've identified the transformations and their order, use appropriate notation to express the composition rule.

Common notations include:

T(a, b) for translation by (a, b) units.

R(O, θ) for rotation about point O by θ degrees.

r(line) for reflection over a line.

Combine the notations for individual transformations using the composition symbol "•" to represent their sequential application.

If you determine that the transformations are a translation by (-6, 1) units followed by a reflection over the x-axis, the rule would be written as:

r(x-axis) • T(-6, 1)(x, y)

Complete question:

Which rule describes the composition of transformations that maps pre- image ABCD to final image A’’B’’C’’D’’ ?

Final answer:

The question seeks a description of the composition of geometric transformations mapping a pre-image to a final image, involving transformations such as translations, rotations, reflections, and dilations.

Explanation:

The question revolves around the concept of geometric transformations, specifically the composition of transformations as they apply to mapping a pre-image (ABCD) to a final image (A''B''C''D''). The composition of transformations includes operations such as translations, rotations, reflections, and dilations. To provide an accurate description of the rule that maps the pre-image to the final image, we would need to know the specific transformations applied in sequence. For instance, if ABCD was translated right by 5 units and then rotated about the origin by 90 degrees, the compositional rule would be a translation followed by a rotation.

The correct answer is C. y = 1/2x + 7

In order to find this, we first have to look for the slope. We can do that by using the slope formula below.

m(slope) = (y2 - y1)/(x2 - x1)

m = (8 - 6)/(2 - -2)

m = 2/4

m = 1/2

Now we can solve using the slope intercept form and a given point.

y = mx + b

8 = 1/2(2) + b

8 = 1 + b

7 = b

Now we can put these into the equation and model as y = 1/2x + 7

Its not clearly given that whether EBF = 2x + 9 or 2x - 9.

I have written the solution for both.

If EBF = 2x + 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

           = (6x + 2x) + (26 + 9)

           = 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Therefore, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

If EBF = 2x - 9,

then ABF = 6x + 26 and ABE = 11x - 31.

Now, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

           = (6x + 2x) + (26 - 9)

           = 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

Therefore, ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

The expression for angle ABF:  ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

From the question: If EBF = 2x + 9, then ABF = 6x + 26 and ABE = 11x - 31.

When, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x + 9)

          = (6x + 2x) + (26 + 9)

          = 8x + 35

11x - 8x = 35 + 31

3x = 66

x = 22

Hence, ABF = 6x + 26 = 6(22) + 26 = 132 + 26 = 158°

When EBF = 2x - 9,

So, ABF = 6x + 26 and ABE = 11x - 31.

When, ABE = ABF + EBF

11x - 31 = (6x + 26) + (2x - 9)

          = (6x + 2x) + (26 - 9)

          = 8x + 17

11x - 8x = 17 + 31

3x = 48

x = 16

So,  ABF = 6x + 26 = 6(16) + 26 = 96 + 26 = 122°

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Answer:

325 hamburgers were sold on Thursday.

Step-by-step explanation:

Let h be the number of hamburgers and c be the number of cheeseburgers.

Using this information we can set up two equation as:

[tex]h+c=593\\c=h-57[/tex]

Now we need to solve these two equations to get the value of number of hamburgers. For that we use substitution method as shown below:

[tex]h+h-57=593\\2h-57=593\\2h=650\\h=325[/tex]

Therefore, the number of hamburgers sold on Thursday were 325.

the answer will be  is V=8/t

Answer:

|2a|

Step-by-step explanation:

Note that distance is positive.  a less -a comes out to +2a, which is the distance between and -a.