A telephone tree is used to send messages. the person at the top calls 2 people. each person calls 2 more people. suppose it takes 1 min to call someone. a message is relayed until the bottom row of the tree has 256 people. how long did this take? how do you know? the tree has 8 rows because each time a person calls 2 people, they call two more people.

The value of m is 9 .

What is a Quadrilateral:

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles. It is formed by joining four non-collinear points. The sum of interior angles of quadrilaterals is always equal to 360 degrees.

What is Circumscribed:

Circumscribed meaning is, a shape is restricted within any other shape. There is no circumvent for the inside figure to pass the outer figure. When we draw a figure around another figure, in such a way, that the outer figure which is surrounding the inside figure touches all its vertices, but doesn’t cross it. The outer figure touches the maximum points of the inside figure without crossing it. These geometrical shapes could be a circle, a square, a triangle, a rectangle or a quadrilateral.

Now,

we know length of tangent from a point to a circle are equal

therefore,

AS=AP,,BP=BQ,CQ=CR,DR=DS

x=BC=BQ+QC=BP+RC=BP+CD−DR=BP+CD−DS

⇒x=5+7−3=9

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Answer:

last one is right

Step-by-step explanation:

multiply 8 by X is 8x and 8 multiplied by 8 is 64

Hope it helps

Answer: 8x+64=8x(x+8)

Step-by-step explanation:

8 is a common of 8 so 8x8=64

The 10th term of the given arithmetic sequence 2,8,14,20, ........... is ( a₁₀ = 56.)

The difference between two mathematical orders is a fixed value in Arithmetic Progression (AP). Arithmetic Sequence is another term for it.

We'd come across a few key words in AP which have been classified as:

The AP can also be viewed in terms of common differences, as illustrated below.

Now, the sequence given in the question is;  2,8,14,20, ...........

Define the first term as 'a₁' = 2.

Define 'a₂' = 8 is the second term.

Define the third term as 'a₃' = 14.

Evaluate the common difference;

d = a₂ - a₁  

Put the values in the obtained equation;

d = 8 - 2 = 6

Now, to evaluate the value of the 10th term imply the formula of nth term.

an = a + (n − 1) × d , n = total number of terms = 10.

Substitute all the values;

a₁₀ = 2 + (10 - 1) × 6

a₁₀ = 2 + 9 × 6

a₁₀ = 2 + 54

a₁₀ = 56.

Therefore, the value of the 10th term is found as a₁₀ = 56.

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5x+3y=15 is the equation for the standard form of the line .

What is in slope-intercept form?

We are given two coordinates (3,0) (0,5)

Start by finding slope

y2-y1/x2-x1=  5-0/0-3= -5/3 this is your slope m.

y=mx+c

y= -5/3x+c (but remember standard line is ax+by=c) so we have to switch sides

5/3x + y=5 (remember standard form has no fraction so multiply by 3 on all sides)

5x+3y=15

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The coordinates of P' is (-3,2).

Given that P(-3, 6) is translated 4 units up and 8 units down.

The translation of a point involves moving it a certain distance horizontally and/or vertically. You can find the address of a translated point like this:

The point P(-3,6) is shown in blue above.

Travel 4 unit to the up and 8 units down from point P, and you arrive at point P'(-3,2), shown in red.

Hence, the coordinates of P' when P(-3, 6) is translated 4 units up and 8 units down is P'(-3,2).

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Answer:

Step-by-step explanation:

can 4 x 2/3 be 2/1 ?

2/1 = 2

solve with an equation

4 * 2/3 = 2

8/3 = 2

or

2.66666666667 = 2

the equation is false, so your answer is no

Answer: 1. D.0.5, 2.5

2. B 10,-1

3. B.-6,-6

4. C 7,5

5. D. Infinite number of solutions

6. A. -1,3

7. C. -1,-0.5

8. B. Seven $1....eight $5...

9. D. 200 muffins

10. A. 2y=1.5x-2 D.-4y+3x=-2

Step-by-step explanation:

i did the quiz, Gl, and thx!

Answer:

1/4+s=18/20

Step-by-step explanation:

The answer is between 0 and 1

18/20 = 0.9

1/4+s=0.9

0.9-0.25=0.65

s=0.65

The distance between the points is 8.6 units

The points are given as:

(8, 2) and (3,9).

The distance is calculated using

d = √(x2 - x1)^2 + (y2 - y1)^2

This gives

d = √(8 -3)^2 + (2 - 9)^2

Evaluate

d = 8.6

Hence, the distance between the points is 8.6 units

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The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

We know that the height, in inches, of s sheets of paper can be described by the equation:

h = 0.004*s

So, if we have a single sheet, the height is:

h = 0.004*1 = 0.004

The height of a single sheet if 0.004 inches.

If instead we have two, then s = 2, we will have:

h = 0.004*2 = 0.008

The height is 0.008 inches.

So, the given equation:

h = 0.004*s

Is a proportional relation.

The "0.004" is the constant of proportionality, in this particular case, that value represents the height if a single sheet of paper.

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Answer:

[tex]4a+3=7-5+8a\\4a-8a=7-5-3\\-4a=-1\\\frac{-4a}{-4} =\frac{-1}{-4} \\a=\frac{1}{4}[/tex]

Answer:

42

Hope this helps :)

Step-by-step explanation:

1. Substitute x with 6 since x is 6. When a variable is next to a number multiply them. Also, multiply when number is next to parenthesis.

7(6)

2. Solve by multiplying.

7(6) = 42

Check:

42 ÷ 7 = 6 ✓

Answer:

Khan academy could really help it has videos and lessons so start there.

Step-by-step explanation:

Answer:

Step-by-step explanation:

6(x+4)=30

So wee need to find out what multiplied by 6 =30

30/6=5

Now wee need to figure out what plus 4 equals 5

5-4=1

1+4=5

6(1+4)=30

So x=1

Hope this helps!^^

Answer:

x=33

Step-by-step explanation:

Simplifying 2x + 25 + 3x + -10 = 180 Reorder the terms: 25 + -10 + 2x + 3x = 180 Combine like terms: 25 + -10 = 15 15 + 2x + 3x = 180 Combine like terms: 2x + 3x = 5x 15 + 5x = 180 Solving 15 + 5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 5x = 180 + -15 Combine like terms: 15 + -15 = 0 0 + 5x = 180 + -15 5x = 180 + -15 Combine like terms: 180 + -15 = 165 5x = 165 Divide each side by '5'. x = 33 Simplifying x = 33

Answer:

x=33

Step-by-step explanation:

(2x+25)+(3x-10)=180

2x+25+3x-10=180

2x+3x+25-10=180

5x+15=180

5x=180-15

5x=165

5x/5=165/5

therefore x=33

Answer:

[tex]x^4y^2-6x^3y^3 = x^3y^2(x - 6y)[/tex]

Step-by-step explanation:

to pick out common factors, you have to find the highest common denominator. We start by listing units and variables:

we can divide the x^4y^2 by up to x^4 and up to y^2, cannot divide by non-variable numbers

we can divide 6x^3y^3 by up to x^3 and up to y^3, and by 6 if we needed to.

This means that for units, we're not dividing (because we can't simplify x^4y^2 dividing by a bare number.

For x, we can divide both by x^3, because we can divide both by x^3, but cannot divide 6x^3y^3 by x^4 or more.

For y, we can divide both by y^2, because we can divide both by y^2, but cannot divide x^4y^2 by x^3 or more.

We take the x^3y^2 and bring it in front of the brackets.

Disclaimer: when I say "cannot divide" I mean "cannot divide without introducing fractions or negative exponents".

The correct answer to this problem is an option (H) 2/3.

A sequence is a sequence of things (usually numbers) in order 3, 5, 6, 7, 8, and so on. A geometric sequence is known as a particular type of sequence ]. A sequence multiplies each term (except the first) by a constant to get the next term in the sequence. So, from the information, we can conclude that to get the next term in the geometric sequence, we need to multiply that with a specific term (known as the common ratio), and to find the last term in the sequence, we multiply that term by the same standard ratio. Just split it.

Given GP is 9/2,3,2,4/3

Common ratio = Second number / first number

= 3/ (9/2) =2/3

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Answer:

2.712

Step-by-step explanation:

2.712

Since the given expression can be factored in the form (2t+1) and (t+2) so 2t² + 5t + 2 cannot be a prime number.

A whole number greater than 1 that has no factor other than 1 and the number itself is called a prime number.

Some examples of prime numbers are 3,11,19 ... all these numbers can only be divided by 1 or the number itself so they are called prime.

In the given expression 2t² + 5t + 2 , it is said that t is positive whole number. So if t is a positive whole number then the expression can be written as another positive whole number.

Now the expression 2t² + 5t + 2  can be factored into two smaller factors.

2t² + 5t + 2

= 2t² + 4t + t + 2

= 2t (t + 2 )+1 (t+2)

= (t+2) (2t+1)

If t is a positive whole number then t+2 is a whole number and 2t+1 is another positive whole number.

Hence these two numbers are factors of 2t² + 5t + 2 . But a prime number does not have any factors.

So 2t² + 5t + 2  is not a prime number.

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Answer:

0.283258167471352[tex]\sqrt[3]{k}[/tex]

Step-by-step explanation:

Based on the given conditions, formulate:

Write the equation of the function:

Substitute and calculate:

Considering the numeric values and the range concept, we have that:

The range of the function is given by: {f(0), f(1), f(2), f(3), f(4), f(5)}.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

The range of a function is the set that contains all possible output values for the function. These outputs are the numeric values for the domain of the function, which compose the input values.

For this problem, we have that:

Hence:

The range of the function is given by: {f(0), f(1), f(2), f(3), f(4), f(5)}.

The function is not given, hence this problem was solved speaking in general terms. In your problem, you will mark the numeric values of the function given.

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Answer:

0.456

Step-by-step explanation:

456÷1000

=0.456ml

For given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

In this question, we have been given a polynomial 1/2a^4 + 3a³ + a

We need to determine the coefficient of the third term and the constant term.

we can rewrite given polynomial as 1/2a^4 + 3a³ + 0a² + a + 0

The general form of the fourth degree polynomial is:

a_0 + a_1x + a_2x^2 + a_3x^3 + a_4x^4

where a_0 is the constant term

Comparing given polynomial with above general form.

a_0 = 0

a_1 = 1

a_2 = 0

a_3 = 3

a_4 = 1/2

So, the constant term is a_ 0 = 0

And there is no coefficient for the third term.

Therefore, for given polynomial 1/2a^4 + 3a³ + a

1) There is no coefficient for the third term.

2) The constant term is 0.

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The probability of the spinner's point landing on yellow is 30.56%.

A pie graph is a type of chart which displays data in the form of a circular graph.

We understand that the total value of the pie is always 100%. It is also understood that a circle will have a circumference of 360°. As a consequence, the total of all data points equals 360°. There appear to be two main pie chart formulas based on these:

When a circle is completely rotated, it forms a 360-degree angle in the center.

The overall percentage of all colors is 100%.

Because 360 degrees / 100 percent = 3.6, divide the valuation of yellow by 3.6.

The total percentage of yellow displayed by the spinner's pointer is 110%.

P (probability of landing on yellow) = 110/3.6

P (probability of landing on yellow) = 30.555... = 30.56 (approx.)

As a result, the probability of the pointer landing on the yellow is 30.56%

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Answer: A number that ends in 0 is divisible by 2, 5, and 10. 6730 is divisible by 2, 5, and 10, which means that it is in the 2, 5, and 10 times tables.

Step-by-step explanation:

Answer: 6,730

Step-by-step explanation:  A number is divisible by 10 if it ends in a 0. The number ends in a 0 and so it is divisible by 10. A number that ends in 0 is divisible by 2, 5 and 10. 6730 is divisible by 2, 5 and 10, which means that it is in the 2, 5 and 10 times table.

The correct option regarding number 1 is given by:

C. The number is neither prime nor composite.

Prime numbers are numbers that have only two factors, that are 1 and itself. Examples of prime numbers are 2, 3, 5, 7, and so on...

Number 1 has only one factor, itself, hence for this reason it is neither prime(two factors are needed) nor composite, as it cannot be written as a product of two numbers both different than 1, hence option c is correct.

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Answer: [tex]\angle APC[/tex] and [tex]\angle CPB[/tex]

Step-by-step explanation:

See attached image.