The volume of the cylinder is 5275 ft and the height is 23 find the diameter please explain this is for school tomorrow

Answers

Answer 1

[tex]\bf \textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\ \cline{1-1} V=5275\\ h=23 \end{cases}\implies 5275=\pi r^2(23)\implies \cfrac{5275}{23\pi }=r^2 \\\\\\ \sqrt{\cfrac{5275}{23\pi }}=r\implies 15.144\approx r~\hspace{10em}\stackrel{diameter=2r}{d\approx 30.288}[/tex]


Related Questions

A number cube with faces numbered 1 through 6 is rolled and a coin is tossed. What is the probability that the number cube will show a number greater than 4 and the coin will land with tails up? A. 1/12 B. 1/6 C. 2/5 D. 5/6

Answers

Answer:

b 1/6

Step-by-step explanation:

the probability of the dice rolling on five or six is 2 out of 6. the probability that the coin will

The probability that the number cube will show a number greater than 4 and the coin will land with tails up  [tex]\frac{1}{6}[/tex].

What is probability?

Probability is simply how likely something is to happen. Whenever we're unsure about the outcome of an event, we can talk about the probabilities of certain outcomes

Probability of getting number greater than 4 on dice i.e., of getting 5 and 6 on the dice= [tex]\frac{2}{6} =\; \frac{1}{3}[/tex]

Now, along with probability of getting tails on the coin =[tex]\frac{1}{2}[/tex]

So, the combined probability of both the instance is= [tex]\frac{1}{3}[/tex] x [tex]\frac{1}{2}[/tex]

                                                                                      = [tex]\frac{1}{6}[/tex]

So, the Probability is  [tex]\frac{1}{6}[/tex].

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Find the value of angle M. HELP ME PLEASE!!

Answers

Answer:

  96°

Step-by-step explanation:

In a cyclic quadrilateral (one inscribed in a circle), opposite angles are supplementary. That means the angles marked (6m+13)° and (4m+7)° have a total value of 180°:

  (6m+13) +(4m+7) = 180

  10m +20 = 180 . . . . . . . . collect terms

  m +2 = 18 . . . . . . . . . . . . .divide by 10

  m = 16 . . . . . . . . . . . . . . . subtract 2

∠M = 6m° = 6·16° . . . . . . . use the value of m in the expression for ∠M

∠M = 96°

If ΔFGH ≅ ΔIJK, which segment is congruent to segment GH?

segment HF
segment JK
segment IJ
segment FG

Answers

Answer:

Segment JK is congruent to segment to GH ⇒ 2nd answer

Step-by-step explanation:

* Lets revise the meaning of congruent triangles

- When two triangles are congruent then they will have exactly the

  same three sides and exactly the same three angles

- Congruent triangles have same areas and same perimeters

- Ex: If Δ ABC ≅ Δ XYZ, then their corresponding sides are congruent

 and their corresponding angles are equal

 side AB ≅ side XY , side BC ≅ side YZ , side AC ≅ side XZ

 angle A ≅ angle X , angle B ≅ angle Y , angle C ≅ angle Z

* Lets solve the problem

∵ Δ FGH ≅ Δ IJK

- The corresponding sides are:

# FG and IJ

# GH and JK

# FH and IK

∵ The corresponding side of GH is JK

∵ The corresponding sides are congruent

∴ GH ≅ JK

Segment JK is congruent to segment to GH

How do you round −248.0426206 dollars to the nearest cent?

Answers

Answer:

you multiply it by 100 since there are 100 cents in a dollar. so, 24804 cents. it stays at 4 because 2 is less than 5

Step-by-step explanation:

Answer:

$-248.04.

Step-by-step explanation:

This is the correct answer to your question.

Hope this helps!!!

Kyle.

What is the value of 30-2(7+2)-1? 11 14 17 19

Answers

Answer:

The answer is 11

Step-by-step explanation:

To solve the expression we must use order of operations following the memotecnic rule PEDMAS that states the order of operations. First solve parenthesis, then exponents, then divisions and multiplications from left to right and finally additions and subtractions from left to right . Following this rule we have:

30-2(7+2)-1

First parenthesis

30-2*(9)-1

There are no exponents. There are no divisions so we do multiplications first

30 -18 -1

There are no additions we only do the remaining subtractiosn form left to right

30-18-1= 12-1= 11

Answer:

11

Step-by-step explanation:

What is the value of x?



Enter your answer in the box.

x =

Answers

Answer:

4

Step-by-step explanation:

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Madame Pickney has a rather extensive art collection and the overall value of her collection has been increasing each year. Three years ago, her collection was worth $600,000. Two years ago, the value of the collection was $690,000 and last year, the collection was valued at $793,500.

Assume that the rate at which Madame Pickney’s art collection’s value increase remains the same as it has been for the last three years. The value of the art collection can be represented by a geometric sequence. The value of the collection three years ago is considered the first term in the sequence.

What explicit rule can be used to determine the value of her art collection n years after that?

Answers

Answer:

B. 600,000 (1.15)^{n-1}

Step-by-step explanation:

The n-th term of a geometric sequence with initial value a and common ratio r can be determined by multiplying the first term of the sequence (i.e. initial value a) by r^{n-1}.

The first term (i.e. initial value a) is 600,000.

The common ratio r can be calculated by dividing any two consecutive terms in the sequence:

r = 690,000/600,000 = 1.15 or r = 793,500/690,000 = 1.15

Thus, we get the answer:

the explicit rule that can be used to determine the value of the art collection n years after that is 600,000 (1.15)^{n-1}

Answer:an=600,000(1.15)^n−1

Step-by-step explanation:

Please help me out with this :)

Answers

Answer:

30

Step-by-step explanation:

Using Euler's relationship for polyhedra

F + V - E = 2

F is number of faces, V number of vertices, E number of edges

Rearrange to express  E as the subject

Add E to both sides

F + V = E + 2 ( subtract 2 from both sides )

F + V - 2 = E ← substitute values

20 + 12 - 2 = E, hence

E = 30

A symbol used to represent an unknown value or quantity

Answers

Variables represent unknowns.  They are often letters (like x) but can also be other symbols like Greek numerics.

Hope this helps!!

Answer: he is right it is variables that are the unknown

Step-by-step explanation:

write an equation in slope-intercept form for this line.
a line passes through the point (-6,-9) and has a slope of 5/2

Answers

Answer: y = 5/2x + 6

Step-by-step explanation:

y - y₁ = m(x - x₁)

y - (-9) = 5/2(x- (-6))

y + 9 = 5/2(x+ 6)

y +9 = 5/2x + 15

y = 5/2x + 15 - 9

y = 5/2x +6

Emma and Sydney go to the movie theater and purchase refreshments for their friends.

Emma spends a total of $25.50 on 7 drinks and 2 bags of popcorn.

Sydney spends a total of $52.50 on 5 drinks and 10 bags of popcorn.

Write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn.

Using these equations, determine and state the price of a bag of popcorn, to the nearest cent.

Answers

25.50 = 7d + 2p

52.50 = 5d + 10p

These are the two equations we're going to use to determine the price of popcorn.

First we need to eliminate one set of variables. Let's eliminate the drinks.

127.50 = 35d + 10p

-367.50 = -35d + -70p

-240 = 0d - 60p

-240 = -60p

P = 4.00

So, popcorn is $4, right? Let's keep working on the problem so we can double check...

So, now let's add the $4 as the variable for P.

25.50 = 7d + 8

52.50 = 5d + 40

17.50 = 7d

12.5 = 5d

d = 2.5

d=2.5

This checks out! Since both equations state that drinks are 2.50, that means we have the right pricing for popcorn... $4.00

Popcorn is $4.00, drinks are $2.50

Hope I could help! :)

A student solved this problem and said the answer is 81 2 pounds. Jill's club bought 42 5 pounds of hot dogs, 31 2 pounds of hamburger, and 23 10 pounds of chicken for the picnic. How much meat did they buy altogether? Is the student's answer reasonable? No, the answer is not reasonable. It should be about 12 pounds. No, the answer is not reasonable. It should be about 15 pounds. No, the answer is not reasonable. It should be about 10 pounds. Yes, the answer is reasonable.

Answers

Answer:

D. No the answer is not reasonable. it should be about 10 pounds.

I took the test.

Answer:

No, the answer is not reasonable. It should be about 10 pounds.

Step-by-step explanation:

Given,

The quantity of hot dog bought by Jill's club = [tex]4\frac{2}{5}[/tex] pounds,

Hot dog = [tex]3\frac{1}{2}[/tex] pounds

Hamburger = [tex]2\frac{3}{10}[/tex] pounds

So, the total quantity of meat they bought

[tex]=4\frac{2}{5}+3\frac{1}{2}+2\frac{3}{10}[/tex]

[tex]=\frac{22}{5}+\frac{7}{2}+\frac{23}{10}[/tex]

[tex]=\frac{44+35+23}{10}[/tex]  ( Adding fractions ),

[tex]=\frac{102}{10}[/tex]

[tex]=10.2\text{ pounds}[/tex]

Since, [tex]8\frac{1}{2}=\frac{17}{2}=8.5[/tex]

[tex]\implies 8.5\neq 10.2[/tex]

Hence, the student's answer is not reasonable it should be about 10 pounds.

Third option is correct.

Help me out please first one with correct answer gets brainest

Answers

Answer:

∠D = 13°

Step-by-step explanation:

∠A and ∠D are vertical angles and thus are congruent, hence

x - 2 = - 3x + 58 ( add 3x to both sides )

4x - 2 = 58 ( add 2 to both sides )

4x = 60 ( divide both sides by 4 )

x = 15

∠D = x - 2 = 15 - 2 = 13°

A police department reports that the probabilities that 0, 1, 2, and 3 domestic disputes will be reported in a given day are 0.53, 0.43, 0.03, and 0.01, respectively. Find the mean.

Answers

Answer:

The mean of the outcomes is 0.52.

Step-by-step explanation:

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  This comes out to:

     0     +    0.43  + 0.06 + 0.03 = 0.52

The mean of the outcomes is 0.52.

The mean of the outcomes will be equal to 0.52.

What is mean?

Mean is defined as the ratio of the sum of the number of data sets to the total number of data.

Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Multiply each possible outcome {0, 1, 2, 3} by the respective probability, and then add up the four products:

0·0.53 + 1·0.43 + 2·0.03 + 3·0.01.  

0+0.43  + 0.06 + 0.03 = 0.52

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50 POINTS! NEED ANSWER ASAP!

PLEASE DONT ANSWER JUST TO TELL ME YOU DON'T KNOW THE ANSWER, THANKS.

Which of the following represents the graph of f(x) = 2x + 3? (6 points)

Answers

Its the second graph. An expert above explains why its the second one.

What is the probability of event B occurring given even A occurs if the probability of both evens are independent events

Answers

The probability of each event occurring does not affect the probability of the other event occurring

I am not sure about the numbers you are working with, but you can use this to help you out:

[tex]p(a \: and \: b) = p(a) \times p(b)[/tex]

Good luck!

Given: DR tangent to Circle O.

Ir DB=140, then A=

A)70
B)110
C)140
D)80

The quiz says 140 is wrong, but I don’t know if that’s a problem on the teacher’s end or not, because everyone here says it’s 140

Answers

Answer:

I believe the answer is 110.

Answer:

110°

Step-by-step explanation:

In this problem we need to use the Inscribed Angle theorem, which states that an inscribed angle is one-half its subtended arc.

[tex]\angle C=\frac{1}{2}arc(DB)=70\°[/tex]

Then, we use the theorem about a cyclic quadrilateral, which is an inscribed quadrilateral: "the opposite angles in a cyclic quadrilateral are supplementary".

[tex]\angle C + \angle A = 180\°\\\angle A = 180\° - \angle C\\\angle A = 180\° - 70\° \\\angle A = 110\°[/tex]

Therefore, the answer is 110°

Math PT Question 19 Which of the following is the correct equation for the trend line in the scatter plot ?

Answers

Using the points where the blue line crosses the X and Y axis:

(0,5) ans (-1, 0)

The slope is the change in Y over the change in X:

0-5 / -1 - 0 = -5/-1 = 5

Slope = 5

Y intercept = y1 = 5

Equation = y = 5x+5

Answer:

The correct equation for the trend line is y = 5x + 5

Step-by-step explanation:

* Lets revise the form of the equation of the line

- The slope intercept form is y = mx + b, where m is the slope of  

  the line and b is the y-intercept

- In the problem we have a trend line in the scatter-plot

- we cant find the exact value of the slope of the line from the points

 in the scatter-plot because the line is best fit to the point, then we

 will start with the y-intercept of the line

- From the graph the line intersect the y-axis at point (0 , 5)

∴ The y-intercept is 5

- We have two answers have y- intercept = 5, the first and second

 answer, the right answer is one of them

- From the graph try to find two points closed the the line and use

 them to find the slope of the line

- There are two points approximately closed to the line at points

  (0 , 5) and (-1 , 0)

- Lets use the rule of the slope of a line which passes through points

  (x1 , y1) and (x2 , y2)

- The slope of the line = (y2 - y1)/(x2 - x1)

∵ The point (0 , 5) is (x1 , y1) and point (-1 , 0) is (x2 , y2)

∵ x1 = 0 , x2 = -1 and y1 = 5 , y2 = 0

∴ the slope = (0 - 5)/-1 - 0 = -5/-1 = 5

∵ The equation of the line is y = mx + b

∵ m = 5 and b = 5

∴ The equation is y = 5x + 5

30 ft
10 ft
8 ft
16 ft

Find the base of a triangle with the same area as the shaded region. The height of the triangle is 25 feet. Show ALL work.
(Hint
Area of a rectangle = Length× Width
Area of a triangle = 1/2× Base× Height)​

Answers

Answer:

32 ft

Step-by-step explanation:

find the area of the large rectangle:

30 x 16 = 480

find the area of the small rectangle:

10 x 8 = 80

subract the small rectangle from the big rectangle to get the area of the shaded region:

480 - 80 = 400

now plug this area and the height into the equation for triangle area:

A = bh/2

400 = b(25)/2 multiply both sides by 2

2(400) = 2(25b/2)

800 = 25b divide both sides by 25

800/25 = 25b/25

32 = b

For this case we have that the area of the shaded region is given by the subtraction of the large rectangle minus the small rectangle.

[tex]A_ {sr} = 30 * 16-10 * 8\\A_ {sr} = 480-80\\A_ {sr} = 400[/tex]

Thus, the area of the shaded region is [tex]400 \ ft ^ 2[/tex]

If the triangle must have the same area and a height of 25, then we have:

[tex]400 = \frac {1} {2} b * 25\\400 = 12.5b[/tex]

Dividing between 12.5 on both sides of the equation:

[tex]b = 32[/tex]

Thus, the base of the triangle is 32.

Answer:

32

Use the explicit rule to find the 22nd term of the sequen e 5,8.11

Answers

Answer:

68

Step-by-step explanation:

The first differences of the given terms are ...

8 -5 = 3

11 -8 = 3

These are the same value, so we see this sequence is an arithmetic sequence with a common difference of 3. The first term is 5.

The explicit formula for the n-th term is ...

an = a1 +d(n -1)

We know a1=5, d=3, and we want to find the value for n=22. Hence ...

a22 = 5 +3(22 -1) = 5 +63 = 68

The 22nd term is 68.

PLEASE HELP! I been stuck on this assignment for over 2 weeks. My teacher gave me a simple explanation when I asked for help, but I still didn't understand it. I asked for more help and now they aren't responding anymore. I'm desperate. Nobody else I have asked understands it either. Here is the question:


Thomas wants to make a box with no lid out of a cardboard sheet to hold a marble collection. He plans to cut out four congruent squares from all corners of the sheet and then fold up the sides to make the box.


Thomas buys a cardboard sheet that is 8 by 12 inches. Let x be the side length of each cutout. Create an equation for the volume of the box, find the zeroes, and sketch the graph of the function.

What is the size of the cutout he needs to make so that he can fit the most marbles in the box?

If Thomas wants a volume of 12 cubic inches, what size does the cutout need to be? What would be the dimensions of this box?


This has to do with polynomials by factoring.


Please EXPLAIN IT so that I UNDERSTAND it. Don't just give me the answer. THANK YOU so much in advance. :)

Answers

Answer:

Question 1: x = 0,6,4

Step-by-step explanation:

#1. If we let x be the side of the cut-out square, the formula for the volume of the box is

[tex]\text{Volume} = (12 - 2x)(8 - 2x)(x).[/tex]

Expanding gives us

[tex]\text{Volume} = 4x^3 - 40x^2 + 96x. [/tex]

To find the zeros, we need to set the equation to 0, and the values of x that would result to zero would be:

[tex]x = 0, 6, 4[/tex]

As how it is told 'he' wanted to make a box with no lid for his marble connection, 'he' wants to cut out four "Identical" squares from all of the corners of the sheet (which I'm assuming is that there is four corners) and by doing so he then wants to fold all the sides...

So he buys one that is 8 by 12 inches, so you can draw a box that is (8, 12) put an 'x' at all four corners and 'cut' it the corners out.

Here's the formula that you can use... Which could be either one I guess..

-Cube = a 3

-- a is the side length

-Rectangular prism = a * b * c

-- a, b, c are the length, width, and height

The volume of a cube is side times side times side. Since each side of a square is the same, it can simply be the length of one side cubed. If a square has one side of 4 inches, the volume would be 4 inches times 4 inches times 4 inches, or 64 cubic inches.

Once you found a function I think you should use the quadratic equation, which is- y=x2-20x+96

And you could use that equation to graph it out... But if they want it to be the volume of 12 cubic inches then er-... Yeah that's were i'm stumped at... My apologies..

What is the volume of the sphere shown below?

Answers

Answer:

A.  (4000/3)  π cubic units

Step-by-step explanation:

The volume of a sphere is given by V = (4/3) π r³

Since this sphere has a radius of 10, we can find its volume by inserting the value of the radius in the formula:

[tex]V = \frac{4}{3} \pi 10^{3} = \frac{4}{3} * 1000 * \pi =\frac{4000}{3} \pi[/tex]

Since all the possible answers are given with π in them, we can stop the calculation there and say the volume is (4000/3)  π cubic units.

Answer:

(4000/3)[tex]\pi[/tex] units³

Step-by-step explanation:

~apex

A binomial experiment is conducted with 7

trials. Each trial has a probability of 0.75 for

success.


a) Which of these is a theoretical probability P(r)

for r trials


i. P(2) = 0.012 iv. P(5) = 0.015

ii. P(3) = 0.058 v. P(6) = 0.311

iii. P(4) = 0.005


b) What is the theoretical probability that at least

4 of the trials are successful, rounded to three

decimal places?


c) What is the theoretical probability that at most

2 of the trials are successful, rounded to three

decimal places?

Answers

Answer:

Step-by-step explanation:

To calculate the theoretical probability here, we need three inputs:  1) the number of trials (which here is 7); the probability of success (which here is 0.75); and an integer representing the particular outcome (which here would be r:  {0, 1, 2, 3, 4, 5, 6, 7}.

(a)  Most of today's calculators have probability distribution functions built in.  I've used binompdf(n,p,r) here.  i. P(2) = 0.012 is correct; it's the result of typing in binompdf(7,0.75,2).  ii. P(3) = 0.058 is correct.  iii. P(4) = 0.005  is false; this probability is 0.173.  iv. P(5) = 0.015 is false.   v.  P(6) = 0.311 is correct.

(b) The probability that at least four trials are successful is equivalent to P(4) + P(5) + P(6) + P(7).   Another way in which to calculate this would be to add up P(0) + P(1) + P(2) + P(3) and subtract the resulting sum from 1.00:  That comes to:  1 - (0.000 + 0.001 + 0.012 + 0.058), or 1 - 0.071, or 0.929

what is the logarithmic function modeled by the following table? x f(x) 9 2 27 3 81 4

Answers

Answer:

Required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Step-by-step explanation:

Given that table for the logarithmic function is:

x f(x)

9 2

27 3

81 4

which can be rewritten as:

x f(x)

3^2 2

3^3 3

3^4 4

Which are basically powers of 3

Hence required logarithmic function is :

[tex]f\left(x\right)=\log_3\left(x\right)[/tex]

Which answer is the approximate standard deviation of the data set?

Answers

Answer:

3.4

Step-by-step explanation:

Standard deviation of a population is defined as:

σ² = ∑(xᵢ − μ)² / n

The standard deviation of a sample is defined as:

s² = ∑(xᵢ − x)² / (n - 1)

It's not clear which one we have, so let's calculate both.

First, we must find the mean.

μ = (5+12+15+10+12+6+8+8) / 8

μ = 9.5

Now we find the squares of the differences:

(5-9.5)² + (12-9.5)² + (15-9.5)² + (10-9.5)² + (12-9.5)² + (6-9.5)² + (8-9.5)² + (8-9.5)²

= 80

Divide by n:

σ² = 80 / 8

σ² = 10

And take the square root:

σ = √10

σ ≈ 3.2

That's not one of the answers, so let's try the standard deviation of a sample instead of a population.

Instead of dividing by n, we'll divide by n-1:

s² = 80 / 7

And take the square root:

s = √(80/7)

s ≈ 3.4

So that must be it.

A cylindrical cardboard tube with a diameter of 8 centimeters and a height of 20 centimeters is used to package a gift. What is the approximate volume of the tube? Round to the nearest whole cubic centimeter. 1

Answers

Answer:

1,005 cm³

Step-by-step explanation:

The volume of a cylinder can be calculated by multiplying the area of its base times the height. It is calculated as follows:

V = πr²h

V = π(8/2)²(20)

V = 1005.31 cm³

Answer:

1,005 cm³

Step-by-step explanation:

because im the goat

The area of the base of a rectangular prism is 36 cm2. The height of the prism is 3 5 6 cm. What is the volume of the prism?

Answers

Answer:

138 cm³

Step-by-step explanation:

Given in the question that base of the rectangular prism = 36 cm²

Height of the prism = 3 5/6 cm = 23/6

We know that the volume of a rectangular prism with base area B and height H is given by

Volume = B(H)

Plug values in the formula above to find the volume of the prism

Volume = 36(23/6)

              = 6(23)

              = 138 cm³

So the volume of prism = 138 cm³

It takes Bill 3 minutes to eat one apple and it takes Frank 5 minutes to eat 2 apples. How long would it take for frank and bill to eat a dozen apples (12).

Answers

Step-by-step Answer:

Given:

Bill : 3 minutes / apple

Frank : 5 minutes / 2 apples, or 2.5 minutes / apple.

So in 15 minutes, Bill eats 5 apples, and Frank eats 15/2.5 = 6 apples for a total of 11 apples.

To eat completely at least 12 apples, it would take 15 minutes + 1 apples, which means 17.5 minutes, with Bill having eaten 5 5/6 apples, and Frank having eaten 7 apples, exactly.

So the minimum time to eat 12 apples would be 17.5 minutes.

Note: at 18 minutes, they would have eaten 13 1/5 apples.

What is the slope of a line parallel to the line whose equation is 3x + 6y = 9?

A. -1/2
B. 1/2
C. 2
D. 3

Answers

The answer is A: -1/2

Answer:

C

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 3x + 6y = 9 into this form

Subtract 6x from both sides

6y = - 3x + 9 ( divide all terms by 6 )

y = - [tex]\frac1}{2}[/tex] x + [tex]\frac{3}{2}[/tex] ← in slope- intercept form

with slope m = - [tex]\frac{1}{2}[/tex]

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2 → C

For which rational expressions is -5 an excluded value? Check all that apply.

Answers

Answer:

Third option and  sixth option

Step-by-step explanation:

It is important to remember that, by definition, "Excluded values"  are all those values that make the denominator equal to 0.

You need to substitute -5 into each rational expression:

[tex]\frac{x+5}{x-5}=\frac{x+5}{(-5)-5}=\frac{x+5}{-10}[/tex]

[tex]\frac{x^2-5}{x^2+5}=\frac{x^2-5}{(-5)^2+5}=\frac{x^2-5}{30}[/tex]

[tex]\frac{x-3}{x^2-25}=\frac{x-3}{(-5)^2-25}=\frac{x-3}{0}[/tex]

[tex]\frac{x^2-25}{2x^2+5}=\frac{x^2-25}{2(-5)^2+5}=\frac{x^2-25}{55}[/tex]

[tex]\frac{2x+1}{x^2+25}=\frac{2x+1}{(-5)^2+25}=\frac{2x+1}{50}[/tex]

[tex]\frac{(x-2)(x-5)}{(x+3)(x+5)}=\frac{(x-2)(x-5)}{(x+3)((-5)+5)}=\frac{(x-2)(x-5)}{0}[/tex]

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