Which line segment is the diameter of circle O?

Circle 2

Question 2 options:

MN


MQ


OP


NQ

(a) By the technique shown in Examples 1 and 2:

To express the function f(x) = 1/4 + x as a geometric power series centered at 0, we can follow the technique shown in Examples 1 and 2, which involves finding a common ratio and using the formula for the sum of an infinite geometric series.

In this case, we can rewrite the function as:

f(x) = 1/4 + x

     = 1/4 + x(1)

Now, we can identify the common ratio, which is x. We can express the function as:

f(x) = 1/4 + x(1) = \(1/4 + x(1)^n\)

The formula for the sum of an infinite geometric series is:

S = a / (1 - r)

where S is the sum of the series, a is the first term, and r is the common ratio.

In our case, the first term is a = 1/4 and the common ratio is r = x.

Therefore, the geometric power series representation of f(x) is:

f(x) = \(1/4 + x + x^2 + x^3 + ...\)

(b) By long division (Give the first three terms):

To find the geometric power series representation of f(x) = 1/4 + x using long division, we divide 1 by 1 - x.

          1/4 + x

   -----------------

   1 - x | 1

We divide 1 by 1 - x as follows:

             1/4 + x

   ------------------

   1 - x | 1

         - (1 - x)        (subtracting)

   -------------

          x / (1 - x)     (dividing)

        \(- (x - x^2)\)

   -------------

             \(x^2 / (1 - x)\)

We can continue this process indefinitely, but let's stop at the third term:

f(x) = \(1/4 + x + x^2\)

Therefore, the geometric power series representation of f(x) using long division is:

f(x) =\(1/4 + x + x^2 + ...\) (infinite terms)

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An ordered rooted tree is a tree data structure in which each node has a specific parent-child relationship with its adjacent nodes. Each node in the tree has an address or path that specifies its location in the tree.

Given an ordered rooted tree T with vertex v at address 3.4.5.2.4, we can answer the following questions:

The level of a vertex in a tree is the number of edges on the path from the root to that vertex. In this case, the root is at address 3, and the path from the root to v has four edges: 3->4, 4->5, 5->2, and 2->4. Therefore, v is at level 5.

The parent of a vertex is the node that is immediately above it in the tree. In this case, the parent of v is the node at address 3.4.5.2. Therefore, the address of the parent of v is 3.4.5.2.

The siblings of a vertex are the nodes that have the same parent as the vertex. In this case, we do not have enough information to determine the number of siblings of v. We only know the address of v and its parent, but we do not know the structure of the tree beyond that.

The number of vertices in a tree can be calculated using the formula n = m + 1, where n is the total number of vertices and m is the number of edges. In this case, we know that the path from the root to v has four edges, so there are at least five vertices in the tree (including the root). However, we do not have enough information to determine the exact number of vertices in T, as there may be additional branches and nodes that are not specified.

Based on the address of v, we can determine some of the other addresses that must occur in the tree. For example, the address 3.4.5 must occur in the tree, as this is the parent of v. Additionally, the address 3.4 must occur in the tree, as this is the parent of 3.4.5. However, we cannot determine all of the other addresses that must occur in the tree without additional information about its structure.

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Answer:

-11

Step-by-step explanation:

BIDMAS

(BRACKETS, INDICES, DIVISION, MULTIPLICATION, ADDITION, SUBTRACTION)

14 + 18 - 2 x 18 -7

the first thing we do is the multiplication (since there is no division in this question)

14 +18 − (2)(18) −7

14 + 18 - (36) - 7

32 - 36 - 7 = -11

True response is that the function represented by the graph is Increasing on (-∞, 0) and decreasing on (0, ∞)

A function is said to be increasing in its domains if the value of its range is increasing in that domain.

Similarly, if the function is decreasing in its domain then it's range must be decreasing with the domain.

When the value of x(domain) is increasing on the left side. The value of y(range) is increasing constantly. But when the value of x increases further after 0, then the value of y is decreasing constantly.

So we can say, the following function represented on the graph is increasing in the interval of ( -∞,0) and decreasing in (0,∞).

As per the situation described in the graph the option third which say increasing on (×,0) and decreasing on (0,×).

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Answer:

Hi how are you doing today Jasmine

Answer:

x= -1/3•log10(9/2)

x= -0.218

Answer:

n=-3

Step-by-step explanation:

Look at the attachment below

Hope this helps (:

The steps of the analytical problem-solving model include: identifying the problem, exploring alternatives, building an implementation plan, implementing a solution, and evaluating the situation.

Analytical problem solving, as we've defined it above, refers to the approaches and methods you use rather than the particular issue you're trying to resolve.

Analytical issue solving is a crucial prerequisite for problem resolution; the problem itself does not determine whether you need it.

Analytical problem solving involves recognising a problem, investigating it, and then creating ideas (such as causes and solutions) around it.

Solving analytical problems calls for inquiry, examination, and analysis that encourages additional study of the subject (including causality, symptoms, and solution).

According to the steps involved in analytical problem solving model:

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Answer:

tan(47)=53/z

Step-by-step explanation:

Using trig ratio tan(x)=O/A

there x is the angle of elevation, O is the side opposite the angle (the lighthouse) and A is the side adjacent the angle (distance between boat and bottom of lighthouse)

Therefore, tan(47)=53/z

\(\\ \tt\hookrightarrow tan47=\dfrac{H}{B}\)

\(\\ \tt\hookrightarrow tan47=\dfrac{53}{B}\)

\(\\ \tt\hookrightarrow B=\dfrac{53}{tan47}\)

Answer:

36 feet

Step-by-step explanation:

48/8=6 so you need to multiply the 6 by 6 as well which gives you 36

According to the general equation for conditional probability, the conditional probability of event A given event B is calculated as

P(A|B) = 24/49

Given that P(A∩B) = 3/7 and P(B) = 7/8, we can substitute these values into the equation:

P(A|B) = (3/7) / (7/8)

To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction:

P(A|B) = (3/7) * (8/7)

Simplifying the expression, we have:

P(A|B) = 24/49

Therefore, the probability of event A given event B is 24/49.

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The evaluation of the expression -0.25 + 0.3 - ( - 3/10 ) + 1/4 is 3 / 5.

An algebraic expression is made up of variables and constants, along with algebraic operations such as addition, subtraction, division, multiplication etc.

To evaluate an algebraic expression means to find the value of the expression when the variable is replaced by a given number.

Therefore, let's solve the expression as follows:

-0.25 + 0.3 - ( - 3/10 ) + 1/4

let's convert it to fraction

- 1 / 4 + 3 / 10 + 3 / 10 + 1 / 4

Hence,

3 / 10 + 3 / 10 +  1 / 4  - 1 / 4

3 + 3 / 10

6 / 10 = 3 / 5

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Answer:

  16.6%

Step-by-step explanation:

The constant ratio formula tells you the amount of total interest is ...

  I = Br(n+1)/(2m)

where B is the loan amount, r is the approximate APR, n is the number of payments, m is the number of payments per year.

Filling in the given values and solving for r, we get ...

  180 = 2000r(12 +1)/(2·12)

  180 = 26000r/24

  r = 180·24/26000 ≈ 0.16615 ≈ 16.6%

The approximate annual percentage rate is 16.6%.

Answer:

12

Step-by-step explanation: 5 dived by 60 equals 12 miles she will drive in 5 hours.

Answer:

200

Step-by-step explanation:

i did super speedy math in my head i said 60/3=20*2=40*5=200

No, he did not determine his altitude correctly.

There are numerous types of altitude.

True altitude is the distance from average sea level. The elevation of geographic areas indicated on maps really refers to their genuine elevations, such as Mount Everest's height.

Absolute altitude: The height from the spot on the ground directly beneath the position under consideration is known as absolute altitude. Alternately, it could be the height above the earth.

When the altimeter is calibrated for the local barometric pressure at mean sea level, it gives the indicated altitude. [Aircraft use atmospheric pressure to calculate their height.]

Height above a conventional datum air-pressure plane is known as pressure altitude. The apparent height and the pressure altitude are same when the altimeter is calibrated with 1 ATM, or 1.0132105 Pa, as the local barometric pressure at the MSL.

Pressure altitude that has been adjusted for deviations from the mean temperature is known as density altitude. The pressure at a particular location may differ from the International Standard Atmosphere depending on factors like temperature. It is crucial to know at what altitude in the international standard atmosphere this specific pressure is measured because all flight parameters are in Standard Atmosphere circumstances. The density altitude is that elevation.

Now,

Here we have to find the true altitude

As Tyson is 120+70=200 feet above the ground

So, the altitude of the half way will be 200/2=100 feet

Because height can not be negative - is just an expression to show height below something.

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

3

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

\(7 + \frac{12}{-3}\\-----------\\\\\rightarrow \frac{12}{-3} = -4\\\\\rightarrow 7 + - 4\\\\\rightarrow \boxed{3}\)

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

The fifth number given the mean of the 7 numbers is 15.

The fifth number is found as follows:

Solving for the sum of all the numbers;

43 = (Sum of all seven numbers) / 7

Multiplying both sides by 7, we get:

Sum of all seven numbers = 43 * 7

The sum of all seven numbers = 301

Fifth number = Sum of all seven numbers - (50 + 73 + 91 + 72)

Fifth number = 301 - (286)

Fifth number = 15

Therefore, the fifth number is 15.

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Answer:

3, 15

Step-by-step explanation:

1/10 of a unit also just means dividing by 10. 1/2 is just dividing by 2. Hope this helped!

Answer:

1/10= 3

1/2=15

Step-by-step explanation:

If the whole unit is 30, then one tenth of it would be three (3x10=30) and one half of it would be 15 (2x15=30)

If the variables "r" and "s" are inversely proportional and r=7 when s=6 , then when r = 10 , value of "s" will be 4.2 .

When the two variables are inversely proportional, their product is constant. That means, for two variables "r" and "s" , the it is represented in equation as :

⇒ r × s = k, where k is a constant ;

the value of variable "r" = 7 when s = 6,

First , we have to find the value of k:

⇒ k = r × s = 7 × 6 = 42 ;

So, for any value of r and s, the product "rs" will always be equal to 42.

When r = 10, we can use the equation to find s:

⇒ s = k/r = 42/10 = 4.2

Therefore , when r = 10 , the variable "s" is 4.2.

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Answer:

26 and 26

Step-by-step explanation:

Let's call the two numbers x and 52-x.

Their product is \(p(x) = x(52-x)=52x-x^2\). Now, if you know calculus, you take it's derivative, see where it goes to 0, and determine what kind of critical point is that. Or - especially if you don't know what a derivative is - you stare at it long enough, and realize that that's the equation of a parabola. pointing downward. It means it has a maximum at its vertex, and the vertex has its first coordinate in the point \(x_v= -\frac{b}{2a} = -\frac{52}{2)(-1)} = 26\) The two numbers are, then 26 and 52-26=26.

Answer:

V = 5,324 in^3

Step-by-step explanation:

V = 4(\(\pi\)r^3)/3

= 4(3)(11^3)/3

= 12(11)(11)(11)/3

= 12(1,331)/3

= 15,972/3

V = 5,324 in^3

Answer:

5575.28 or 5,324 depending on use of pie.

Step-by-step explanation

V=4/3πr3=4/3·π·113≈5575.27976

Hope this helps :)!

This is the answer if pie is used as 3.14.

V = 5,324 in^3 if pie used as 3.

V = 5575.28 in^3 if pie used as 3.14.

Answer:

Step-by-step explanation:

SOLVING

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

6=-2(7-c)

Use distribution to multiply -2 by parenthesis

6=-14+2c

Add to both sides 14

20=2c

Divide 2 into both sides

10=c

5(h-4)=8

Use distribution to multiply 5 by the parenthesis

5h-20=8

Add to both sides 20

5h=28

Divide 5 into both sides

\(h=\frac{28}{5}\)

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Answer:

$11.50

Step-by-step explanation:

46/4=11.5

In money have to make it the hundredths, so it's $11.50.

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Answer:

$11.50

Step-by-step explanation:

$46 ÷ 4 = 11.5

Based on the information provided, the missing entries are 48, 107, 209, 116, and 325.

The missing information includes:

Number of 7th graders without a pet:

This can be found by subtracting the total of students with a pet from the total 7th graders.

150 - 102 = 48

Number of 8th graders with a pet:

Subtract the total of students without a pet from the total 8th graders.

175 - 68 = 107

Total of students with a pet:

Add students with a pet:

102 + 107 = 209

Total of students without a pet:

Add students without a pet:

48 + 68 = 116

Total of students surveyed:

Add the total of students:

209 + 116 = 325

Note: This question is incomplete because the chart is missing; below I attach it.

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An expression to model the number of movies in Ann's collection is A = 2B - 3.

In order to write a linear equations that could be used to model the situation, we would assign variables to the number of movies in Ann's collections and the number of movies in Bob's collections respectively as follows:

Next, we would translate the word problem into linear equation as follows:

A = 2B - 3

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Answer:

Step-by-step explanation:

Because even if you keep trying to find the solution it won't give you the solution so that'll mean there is NO solution

I hope this helped, plz rate 5 stars, give thanks, and Mark as brainilest (Probably) That'll be much appreciated

Because, When x=9, the original equation 

\( \sqrt{x} + 1 + 5 = 3\)

does not hold true.

We will drop x=9 from the solution set.

thats why this this equation has no solution.

Answer:

its A

Step-by-step explanation:

ur welcome

Answer:

Equations: 40-7=33 and 33÷11=3

Step-by-step explanation:

40-7=33

Since there are 3 sides,(q) then you do 33 divided by 3=11.

Equations: 40-7=33

And

33÷11=3