Find the indicated segment.
(3x + 4) (x + 12)

 z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]   is the value of z in linear equation.

What in mathematics is a linear equation?

a ) Simplify using exponent rule with same base  = a[tex]a^{n} . a^{m} = a^{n + m}[/tex]

Based on the given conditions, corresponding exponents are equal                                                                              = [tex]3^{2 + x} = 3^{7}[/tex]

Rearrange unknown terms to the left side of the equation                                                                           = 2 + x = 7

 Calculate the sum or difference                                                                               x = 5

b) Calculate the power 5764801 + [tex]7^{y}[/tex] = 117649

Rearrange unknown terms to the left side of the equation

         7^{y} = 117649 - 5764801

The equation is not defined.

c)  the equations  z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]

   answer    z =  3  or z = [tex]\frac{In q^{12} }{In q^{4} }[/tex]

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The probability that the number of heads obtained from flipping the two fair coins is the same is 35/128.

Probability:

Probability means the fraction of favorable outcome and the total number of outcomes.

So it can be written as,

Probability = Favorable outcomes / Total outcomes

Given,

The coin a is flipped three times and coin b is flipped four times.

Here we need to find the probability that the number of heads obtained from flipping the two fair coins is the same.

We know that,

There are 4 ways that the same number of heads will be obtained;

0, 1, 2, or 3 heads.

The probability of both getting 0 heads is

[tex]$\left(\frac12\right)^3{3\choose0}\left(\frac12\right)^4{4\choose0}=\frac1{128}$[/tex]

Probability of getting 1 head,

[tex]$\left(\frac12\right)^3{3\choose1}\left(\frac12\right)^4{4\choose1}=\frac{12}{128}$[/tex]

Probability of getting 2 heads is,

[tex]$\left(\frac12\right)^3{3\choose2}\left(\frac12\right)^4{4\choose2}=\frac{18}{128}$[/tex]

And the probability of getting 3 heads is,

[tex]$\left(\frac12\right)^3{3\choose3}\left(\frac12\right)^4{4\choose3}=\frac{4}{128}$[/tex]

Therefore, the probability that the number of heads obtained from flipping the two fair coins is the same is,

=> (1/128) + (12/128) + (18/128) + (4/128)

=> 35/128.

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Answer:

4/x+x-7

Step-by-step explanation:

1. 4/x

2. x-7

3. adding the two steps

Answer:  Choice C

This is the result of subtracting 3x from both sides. The inequality sign does not flip. It only flips if we multiply or divide both sides by a negative number.

the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

Scientific notation:

Scientific notation is a method of presenting very large or very small numbers in a more simplified format. We know that whole numbers can be extended indefinitely, but such large numbers cannot be written on a piece of paper. Furthermore, the numbers found after the decimal point needed to be represented in a more straightforward manner.

(1.8x10⁹) (6.7 x 10¹²) = 120.6×[tex]10^{20}[/tex]

Given (1.8x10⁹) (6.7 x 10¹²) =a x [tex]10^{b}[/tex]

a x [tex]10^{b}[/tex]= 120.6×[tex]10^{20}[/tex]

a=120.6 and b=20

Therefore,the following expression i.e. (1.8x10⁹) (6.7 x 10¹²) in Scientific Notation is 120.6×[tex]10^{20}[/tex] and a=120.6 and b=20

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Answer:

y and x = 4 if wanted a dinner equation in one hand over least common multiple

Sorry in my keyboard there is no symbol for squareroot

Answer:

Step-by-step explanation:

i know

Answer:

Step-by-step explanation

10 cm

Answer: unknwon

Step-by-step explanation:

because height of pillar not given

Answer:

3

Step-by-step explanation:

x =√9

x= 9½

Multiply both sides by the power of 2

x²=9½*²

x²= 9

x²=3²

x=3

Answer:

4

Step-by-step explanation:

2/9 + 2/9 + 2/9 + 2/9 =  8/9

Answer: 385 stickers

Step-by-step explanation:

7 boxes * 55 stickers/1 box=

7 * 55/1=

7*55=385 stickers

Answer:

Step-by-step explanation:

In the plane, there is exactly one perpendicular line to a line from a particular point.

We can see CD is marked as perpendicular segment and there are no more such possible segments.

Correct choice is B.

Answer:

b) Segment CD only

Step-by-step explanation:

Now we have to,

→ find the segment perpendicular to AB.

The segment will be,

→ CD (only)

* As it is 90° from the segment AB, we can say that it is perpendicular to AB.

Hence, option (b) is correct answer.

200 gallons of regular gas and 80 gallons of premium gas were sold.

Let the amount of regular gas sold be x gallons. So, the amount of premium gas sold will be (280 - x).

Now, forming the equation using the given information, to find the amount of each type of gallon.

Equation -

2.10x + 2.90(280 - x) = 652

Performing multiplication with values inside bracket in Left Hand Side

2.10x + 812 - 2.90x = 652

Rewriting the equation -

812 - 652 = 2.90x - 2.10x

Performing subtraction

160  = 0.8x

Rewriting the equation according to x

x = 160÷0.8

Performing division to find the value of x

x = 200

So, 200 gallons of regular gas was sold.

Amount of premium gas sold = 280 - 200

Performing subtraction

Amount of premium gas sold = 80 gallons

Hence, 200 gallons of regular gas and 80 gallons of premium gas was sold.

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Answer: x=5

Good luck :)

The time plane will take to travel 1050 miles into the wind is 2.5 hours.

Speed is defined as the rate of change of position in unit time.

Mathematically,

Speed = Distance/Time

Now given that,

Speed of airplane in still air = 450 mph

Speed of wind = 30 mph

Distance to travel = 1050 miles

So, Actual speed of wind = 450 mph - 30 mph

⇒ Actual speed of wind = 420 mph

So, since Speed = Distance/Time

⇒ Time = Distance/Speed

⇒ Time = 1050/420

⇒ Time = 2.5 hours

Thus, the time plane will take to travel 1050 miles into the wind is 2.5 hours.

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The measurement or the value of x in the given equation [tex](3x-26)degrees = 180degrees[/tex] is [tex]x=68.67[/tex]°

As per the question statement, we are supposed to find the measure of angle x in the given equation, [tex](3x-26)= 180[/tex]

Before solving this question, we should know that this question is an example of solving a linear equation in one variable.

[tex](3x-26)= 180\\3x=206\\x=\frac{206}{3} \\x=68.67[/tex]

Hence the measure of the angle x is x=68.67°

This question is a good example of solving a linear equation in one variable.

Linear Equation: It is an equation which when plotted on a graph forms a straight line and we solve for an unknown number called as variable.

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9.665 x 10^5

966500.0

Move the dot to the right 5 times

The distance AD is 49 miles.

As per the given values of speed and time, we will calculate the distance AC. Firstly equalising the units.

As per the known fact, 60 minutes = 1 hour

30 minutes = (1/60)×30

30 minutes = 0.5 hour

Now, speed, distance and time are related as -

Speed = distance ÷ time

Distance = speed × time

Distance = 62 × 0.5

Distance = 31 miles

So, AC = 31 miles and BC = 25 miles.

Therefore, AB = AC - BC

AB = 31 - 25

AB = 6 miles

The distance AD = AC + CD

AD = 31 + 3 × AB

AD = 31 + 3 × 6

AD = 31 + 18

AD = 49 miles

Therefore, the distance between AD is 49 miles.

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The complete question is attached.

Answer: The LCD is 2

Step-by-step explanation: I think that because 2, 4, 6 but I'm not sure. (please don't get mad if I'm wrong)

Answer:

6.

Step-by-step explanation:

Factorise 2 and 6:

2 = 2

6 = 2*3

In calculating the LCM we only use the 2 once, as it is duplicated in the 2 lists of factors.

The LCM = 2 * 3 = 6.

(Note LCM = LCD.)

Reason:

The 24 needs to be changed to a 10 for it to be in scientific notation.

The template for scientific notation is [tex]a * 10^b[/tex] where [tex]0 \le |a| < 10[/tex]

So for example, [tex]1.23 \times 10^4[/tex] is in scientific notation.

It is found that Ken will have run 3 laps and Hamid will have run 4  around a track.

Factorization is expressing a mathematical quantity in terms of multiples of smaller units of similar quantities.  Prime factorization is when all those factors are prime numbers.Thus, prime factorization expresses an integer in terms of multiples of prime numbers.

Prime factorization is unique for each integer.

To determine the number of seconds that will have passed when they meet again.  We will use the LCM, or least common multiple, for this.

Thus the prime factorization of each number:

80 = 10(8)

10 = 5(2)

8 = 2(4)

4 = 2(2)

80 = 2(2)(2)(5)(2)

60 = 10(6)

10 = 5(2)

6 = 2(3)

60 = 2(2)(3)(5)

For the LCM,

2(2)(5)(2)(2)(3) = 240

This means every 240 sec; they will both be at the start line.

Since Ken completes a lap in 80 seconds, then he will completes

240/80 = 3 laps in 240 seconds.

Since Hamid completes a lap in 60 seconds, then he will completes 240/60 = 4 laps in 240 seconds.

Hence, It is found that Ken will have run 3 laps and Hamid will have run 4.

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The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

The perimeter of rectangle=2( length of rectangle + breadth of rectangle)

Given that the perimeter of rectangle=10

10=2( length of rectangle + breadth of rectangle)

5=length of rectangle + breadth of rectangle

For a rectangle, length must be always greater than the breadth

The possible values of length of rectangle= 4 and 3

As a result,the Breadth of the rectangle will be 1 if length =4

As a result,the Breadth of rectangle will be 3 if length =2

Therefore, The possible dimensions of the rectangle having a perimeter 10 are

1)length= 4 and bredth= 1

2)length= 3 and bredth= 2

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Answer: The amount she started with is $24.75

Answer:26 eggs

Step-by-step explanation: yes

The market woman bought 60 eggs.

The market woman bought n eggs at the rate of 12 eggs for €60.

So, the cost price of each egg is given by:

Cost price per egg = €60 / 12 = €5

The total cost of n eggs is the cost price per egg multiplied by the number of eggs (n):

Total cost = €5 * n = 5n

After buying n eggs, 8 of them were broken.

So, the market woman had (n - 8) eggs left to sell.

She sold the remaining eggs at the rate of 4 eggs for €24.

The selling price of each egg is given by:

Selling price per egg = €24 / 4 = €6

The total selling price of the remaining (n - 8) eggs is the selling price per egg multiplied by the number of remaining eggs (n - 8):

Total selling price = €6 * (n - 8) = 6n - 48

The profit is the difference between the total selling price and the total cost:

Profit = Total selling price - Total cost

Since the problem states that the market woman made a profit of €12, we can set up the equation:

6n - 48 - 5n = 12

Solve for n.

Combine like terms:

n - 48 = 12

Add 48 to both sides:

n = 60

So, the market woman bought 60 eggs.

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[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \bf= 9.\bar{33}[/tex]

[tex] \bf{8 \frac{4}{3} = \frac{3 \times 8 + 4}{3} = \frac{24 + 4}{3} = \frac{28}{3} = 9. \bar{{33 }}}[/tex]