Use the complex conjugate to find the absolute value of 8+12i

A. 12
B.Square root of 208
C. Square root of 84
D. 8

[tex]f(x)=\dfrac{5x+7}{7x-5},\ g(x)=\dfrac{8x}{7x-5}\\\\(f+g)(x)=f(x)+g(x)=\dfrac{5x+7}{7x-5}+\dfrac{8x}{7x-5}=\dfrac{5x+7+8x}{7x-5}=\dfrac{13x+7}{7x-5}\\\\(f-g)(x)=f(x)-g(x)=\dfrac{5x+7}{7x-5}-\dfrac{8x}{7x-5}=\dfrac{5x+7-8x}{7x-5}=\dfrac{-3x+7}{7x-5}\\\\(f\cdot g)(x)=f(x)\cdot g(x)=\dfrac{5x+7}{7x-5}\cdot\dfrac{8x}{7x-5}=\dfrac{(5x+7)(8x)}{(7x-5)(7x-5)}\\\\=\dfrac{40x^2+56x}{(7x)(7x)+(7x)(-5)+(-5)(7x)+(-5)(-5)}=\dfrac{40x^2+56x}{49x^2-70x+25}[/tex]

Answer:

They will need 197 canoes.

Step-by-step explanation:

The first step is to find the ''3-people canoes'' that they filled.

Given that 273 people filled a certain number ''a'' of canoes that each hold 3 people, we know that is we multiply the number of canoes ''a'' by the number of people that can each canoe hold, we will obtain the number of people who

will take the canoe trip in the ''3-people canoes''. We write :

[tex]3a=273[/tex] ⇒

[tex]a=\frac{273}{3}=91[/tex]

We find that [tex]a=91[/tex] canoes. This means that 91 ''3-people canoes'' were filled each one with 3 people in order to hold 273 people in total.

The second step is to find the remaining people that won't take the ''3-people canoes''. We do this by subtracting 273 people to the total 485 people.

[tex]485-273=212[/tex]

We know that 212 people will travel in the ''2-people canoes''. Using a similar reasoning and defining as ''b'' to the total number of ''2-people canoes'' we write :

[tex]2b=212\\b=\frac{212}{2}=106\\ b=106[/tex]

We find that [tex]b=106[/tex] canoes is the total number of ''2-people canoes'' that we need If we want them to be filled up with 212 people.

The total number of canoes that the group will need is the sum of ''3-people canoes'' and ''2-people canoes'' :

[tex]Total=a+b=91+106=197[/tex]

The group of 485 people will need 197 canoes.

The temperature increase can be represented by the expression 7°F + 7°F, which simplifies to 14°F.

The expression to represent the temperature increase from -7 degrees Fahrenheit at 6:00 am to 7 degrees Fahrenheit at noon is as follows:

Temperature increase = Final temperature - Initial temperature

Substituting the values, we get:

Temperature increase = 7°F - (-7°F)

Simplifying, we have:

Temperature increase = 7°F + 7°F

Temperature increase = 14°F

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Hey there!!

Equation given :

2x² - 4x  = 0

Taking the common terms

2x ( x - 2 ) = 0

Divide by 2x on both sides

x - 2 = 0

Adding 2 on both sides ...

x = 2

And another answer would be zero as the whole equation is zero,

Hence the answer : ( 0 , 2 )

Hope it helps@+!!

The value x for equation 2x² - 4x = 0 is 2.

Given equation:

2x² - 4x = 0

Add 4x on both side,

2x² = 4x

Divide x on both side

2x = 4

Divide 2 on both side,

x = 2.

Therefore, the value x for equation 2x² - 4x = 0 is 2.

Learn more about equation here:

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up (+)        123             187

down (-)            -154            -175

(123 + 187) - (154 + 175)

=    310        -      329

=                 -19

Answer: 19 feet below ground

Answer:

C) 14 units

Step-by-step explanation:

The equation is in standard form, so the larger denominator is the square of the semi-major axis. That length is √49 = 7, so the major axis length is 2·7 = 14. This length is the length of the string.

Answer:

[tex]a_{26}=-20[/tex]

Step-by-step explanation:

The formula of a nth term of an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

We have:

[tex]a_1=30,\ d=-2,\ n=26[/tex]

Substitute:

[tex]a_{26}=30+(26-1)(-2)=30+(25)(-2)=30-50=-20[/tex]

Answer:

D. It is $13 less than the gross pay.

Step-by-step explanation:

To find the net pay, you have to look at the table h

We are given that table.

Step 1: Biweekly gross salary is $840 and the number of claimed is 5.

Step 2: Look for claimed number to the corresponding wage $840. It is 13, which is rounded by blue circle in the given table.

Thank you.

Answer:

D. It is $13 less than the gross pay.

Step-by-step explanation:

To find the net pay, you have to look at the table h

We are given that table.

Step 1: Biweekly gross salary is $840 and the number of claimed is 5.

Step 2: Look for claimed number to the corresponding wage $840. It is 13, which is rounded by blue circle in the given table.

Thank you.

i copied the other dued lol

Final answer:

The car travels approximately 210 kilometers in 2 hours and 20 minutes by multiplying its speed of 90km/h by the time duration converted to hours (2.333 hours).

Explanation:

The student's question involves calculating the distance a car travels at a constant speed over a given period of time. In this case, the car drives at a speed of 90km/h for 2 hours and 20 mins. To find the distance, you can use the formula: distance = speed × time. First, convert 2 hours and 20 mins into hours, which is 2 hours + 20/60 hours = 2.333 hours.

Next, multiply the speed by the time to get the distance:

Distance = 90km/h × 2.333 hours = 209.97 km

So, the car travels approximately 210 kilometers in 2 hours and 20 minutes.

[tex]n!=1\cdot2\cdot3\cdot...\cdot n\\\\6!=1\cdot2\cdot3\cdot4\cdot5\cdot6=720\\\\Answer:\ \boxed{D.\ 720}[/tex]

Answer:  D.  

720

Step-by-step explanation:

We know that the value of  n factorial or n! is given by :-

[tex]n!=n\times(n-1)\times(n-2)\times(n-3)\times...........................\times1[/tex]

We are given to find the value of 6! (or 6 factorial )

Using the above formula , the value of 6! is given by :-

[tex]6!=6\times(6-1)\times(6-2)\times(6-3)\times\times(6-4)\times(6-5)\\\\\Rightarrow\ 6!=6\times5\times4\times3\times2\times1\\\\\Rightarrow\ 6!=720[/tex]

Therefore , the value of 6! = 720

Answer:

the answer is point N

Step-by-step explanation:

i dont have a graph to explain

The midpoint of a line segment is calculated using the formula Midpoint = ((x1 + x2)/2 , (y1 + y2)/2), which finds the average of the x-coordinates and y-coordinates of the two points. Unfortunately, without specific points, we can't provide a concrete midpoint.

Unfortunately, your question is slightly unclear as we need more detail to accurately determine the midpoint of the segment. Generally, if you want to find the midpoint of a segment, you need two defined points. Knowing these two points, you can calculate the midpoint using the formula: Midpoint = ((x1 + x2)/2 , (y1 + y2)/2). This formula calculates the average of the x-coordinates and y-coordinates of the two points, which gives you the coordinates of the midpoint.

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To do a two-column proof, you must know the definitions of the terms that are being used. Also, you must know the postulates and theorems you have learned so far. You look at the given information, and using the definitions, postulates, and theorems, you reason in your mind how to go from the given to the conclusion, step by step. You write each step and the accompanying reason that allows you to conclude each step.

Replace [tex]a_{n}[/tex] with 27, solve for [tex]a_{n-1}[/tex], and see if the result is a whole number.

27 = 2a   ⇒ [tex]\frac{27}{2}[/tex] = a not a whole number  NO

27 = 2a + 1  ⇒  26 = 2a  ⇒  13 = a  13 is a whole number  YES

27 = 3a  ⇒  9 = a   9 is a whole number  YES

27 = 3a + 6   ⇒   21 = 3a   ⇒   7 = a   7 is a whole number  YES

27 = 3a + 1   ⇒   26 = 3a   ⇒   [tex]\frac{26}{3}[/tex] = a not a whole number  NO

Answer: B, C, D

Answer:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

Step-by-step explanation:

If A and B are independent then we must have

P(AB) = P(A) P(B) and also

P(A/B) = P(A)

We are given that

A and B are two events.

Let P(A)=0.5 , P(B)=0.25 , and P(A and B)=0.15 .

P(A/B) = P(AB)/P(B) = 0.15/0.5 = 0.3

i.e. P(A/B) is not equal P(A)

Similarly P(B/A) = P(AB)/P(A) = 0.15/0.25 = 0.6 not equal to P(B)

Hence A and B are not independent.

Answer:

Step-by-step explanation:

A and B are not independent events because P(A|B)≠P(A)

is the correct answer.

ANSWER=  +/- 5i sqrt2

sqrt=square root sign to solve you subtract 50 so x^2=-50 then get the square root on both sides and you're left with x=5isqrt 2 the i comes from the negative sign inside the square root

 +/- 5i sqrt2  is the solution

answer is TT->T or a

Answer:

A)

Step-by-step explanation:

Answer:

Dilation : The meaning of Dilation is that by taking a fixed center and certain real number we can either enlarge an image or reduce it's size without actually changing it's shape. it totally depends on amount by which we are dilating if it is a real number greater than 1 the size of image increases otherwise shrinks means smaller in size.

The original image is called Pre-image and after dilation that changed image is called image.

So, we can say that Dilation is a function because for each different scale factor or different real number we get different images.

So, Out of all the four options given first looks completely true about Dilation.

i.e   A dilation is a function because every point on the pre-image corresponds to exactly one point on the image.

A dilation is a function because every point on the pre-image corresponds to exactly one point on the image. This is the definition of a function in mathematics. The scale factor and the congruity of the image to the pre-image are irrelevant to the classification of dilation as a function.

The correct statement is:

A dilation is a function because every point on the pre-image corresponds to exactly one point on the image

. In mathematics, dilation is a transformation that changes the size, but not the shape, of a figure. For a dilation to qualify as a function, each point in the pre-image must correspond to exactly one point in the image, without any point in the pre-image being mapped to more than one point in the image. This is the definition of a function: a relation from a set of inputs (the pre-image) to a set of possible outputs (the image) where each input is related to exactly one output. The scale factor and the congruity of the image to the pre-image have no bearing on whether a dilation is a function or not.

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So with what we know we can set up two equations to  solve for the CDs and the players.

$12(300) = total earnings for cds

= $3600 total cds sold

$35(100) = total earnings for cd players

=$35000

add both of the totals of the CDs and the CD players to get the total earnings

$3600+$3500 = $7100 gained in total from both products sold

Answer:

Perimeter = 2x + 64

Step-by-step explanation:

Perimeter = Sum of the lengths of the borders

From the given figure, we need to find the missing length.

Missing length = 18 - 10 = 8

Another missing length = (x + 14) - (x + 8) = x + 14 - x - 8

= 14 -8

= 6

Now let's add all the sides.

Perimeter = x + 14 + 8 + 6 + 10 + x + 8 + 18

Now add all the x terms and constants

Perimeter = 2x + 64

Answer:

B- False

Step-by-step explanation:

that is very false bc the units mean alot

A,C,D those were the answers i put and they were correct.

Answer:

A. h(m) = 27 – m3

C. f(a) = a3 – 4a2 + a + 6

D. f(x) = 2x3 – 5x2 – 9

Step-by-step explanation:

did review on edg2020

parent graph: f(x) = |x|

shifted 6 units down: f(x) = |x| - 6

then shifted 4 units to the right: f(x) = |x - 4| - 6

then vertically stretched by 2: f(x) = 2|x - 4| - 6

This means the vertex (0, 0) has moved to (4, -6) and the slope is 2

**************************************************************************************

   f(x) = |x|                                      f(x) = 2|x - 4| - 6

   x     y                                         x                              y          new coordinate

   -2    2                               -2 + 4 = 2           2(2) - 6 = -2                   (2, -2)

   -1     1                                -1 + 4  = 3           1(2) - 6 = -4                    (3, -4)

   0     0    vertex                0 + 4  = 4           0(2) - 6 = -6  vertex       (4, -6)

    1     1                                 1 + 4  = 5           1(2) - 6 = -4                    (5, -4)

    2    2                                2 + 4 = 6           2(2) - 6 = -2                   (6, -2)

Plot the NEW COORDINATES for the transformed graph.

Distance traveled by Deon to ride a bicycle trail = 15 mile

Average speed of Deon to ride a bicycle trail = 20 mi/hour

Let 'T' be the time taken to ride the bicycle trail.

We will use distance speed formula to write the equation to find the time 'T' in hours, for the ride.

Distance =[tex]\frac{Speed}{time}[/tex]

[tex]15 = \frac{20}{T}[/tex]

So, [tex]T = \frac{20}{15}[/tex]

This equation will be used to find the time 'T' in hours for the ride.

Answer:

He sees 16 cats that day

Step-by-step explanation:

If the veterinarian sees 5 dogs a day then he also sees 2 cats.

If he sees 40 dogs a day then,

⇒[tex]\frac{2}{5} *40[/tex]

=[tex]16[/tex] Cats

He sees 16 cats that day.

The correct option is C.

Approximately 29 dogs were seen by the vet in one day.

To solve this problem, we first need to find the fraction of dogs among the total animals seen by the vet.

Given that the ratio of cats to dogs is 2 to 5, the total parts in this ratio is 2 + 5 = 7.

Now, to find the fraction representing dogs, we divide the number of parts representing dogs (5) by the total parts (7). This gives us 5/7.

Next, to find out how many of the 40 animals were dogs, we multiply the total number of animals seen (40) by the fraction representing dogs:

40 animals × (5/7) = (40 × 5) / 7 = 200/7 ≈ 28.57

Since we're looking for an approximation, we round this to the nearest whole number, which is 29.

So, approximately 29 of the animals seen were dogs, which corresponds to option C.

The complete question is here:

The ratio of cats to dogs seen by a vet in a day is about 2 to 5. If a vet saw 40 animals in one day, about how many were dogs?

A. 5

B. 12

C. 29

D. 40

Answer:

A linear graph will be plotted to show the relation between ages of Mike and Dan.

Step-by-step explanation:

As the age of Mike increase, the age of Dan will also increase. There is a relation of direct proportionality and a linear graph line will be plotted. When x=3, y=0, therefore the line will be at a distance of 3 x-intercept from origin.

[tex](5y^3+2y^2-7y) + (12y^3-4y^2+8)\\\\=5y^3+2y^2-7y+12y^3-4y^2+8\\\\=(5y^3+12y^3)+(2y^2-4y^2)+(-7y)+(8)\\\\=17y^3-2y^2-7y+8[/tex]