In a triangle, PR is 12 more than twice PQ and QR is two more than 4 times PQ. If all three sides of the triangle have integer lengths, what is the largest possible value of x?

Answer:

16.2$

12/35%=4.2+12

The surgical procedure that involves crushing a stone or calculus is called lithotripsy.

Lithotripsy is a minimally invasive procedure used to break down or fragment kidney stones, bladder stones, or gallstones into smaller pieces, making them easier to pass out of the body naturally. The procedure is typically performed using non-invasive techniques that do not require any surgical incisions. One common method of lithotripsy is extracorporeal shock wave lithotripsy (ESWL), where shock waves are directed at the stone externally to break it into smaller fragments. These smaller pieces can then be eliminated from the body through the urinary system. Lithotripsy is an alternative to more invasive surgical procedures, such as open surgery, which involves making incisions to remove the stone directly. It offers several advantages, including shorter recovery time, reduced risk of complications, and minimal pain and scarring. Lithotripsy is a commonly used technique for treating urinary stones and has proven to be effective in managing stone-related conditions. However, the specific type of lithotripsy used may vary depending on the size, location, and composition of the stone. It is important for patients to consult with their healthcare providers to determine the most appropriate treatment approach for their specific case.

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An airplane flying at a constant speed of 600 miles per hour, will travel 1350 miles in 135 minutes.

The average speed of any object is the ratio of the total distance the object travels, and the total time taken by the object to cover that distance.

Thus, Average speed = Total Distance/Time taken.

In the question, we are asked the distance traveled by airplane in 135 minutes at the constant speed of 600 miles per hour.

First, we need to convert the time from minutes to hours as our speed is given in miles per hour.

To convert minutes to hours, we divide it by 60.

Thus, the time = 135/60 hours = 2.25 hours.

Now, we substitute the speed = 600 miles per hour, and time = 2.25 hours in the formula:

Average speed = Total Distance/Time taken

or, 600 = Distance/2.25,

or, Distance = 600*2.25 miles,

or, Distance = 1350 miles.

Thus, an airplane flying at a constant speed of 600 miles per hour, will travel 1350 miles in 135 minutes.

The question is incomplete. The complete question is:

"An airplane flies with a constant speed of 600 miles per hour. How far can it travel in 135 minutes".

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Answer:

We know,

Distance,d = speed × time

d = 600 × 2.25

d = 1350km

Hence, the airplane can travel 1350km in 135 minutes with a speed of 600 miles.

Answer:

Total commission= $377.75

Step-by-step explanation:

Giving the following information:

She earns a 12 percent commission on her first $350 worth of sales, 25 percent on the next $650 in sales, and 35 percent on all sales exceeding $1,000.

First, we need to determine the total commission formula:

Total comission= x*0.12 + y*0.25 + w*0.35

x= sales up to $350

y= sales from $351 up to $1,000

w= sales from $1,001 to infinity

Now, for $1,495

Total commission= 350*0.12 + 650*0.25 + 495*0.35

Total commission= $377.75

Answer:

$143

Step-by-step explanation:

10% = 0.10

130 * 0.10 = $13

$130 + $13 = $143

Answer:

13=tip 143=total

Step-by-step explanation:

dived 130 by 10 also that's a lot of Money

Answer:

D:315

Step-by-step explanation:

6x7 and then divide by 2 = 21+21 =42 13x7= 91x3= 273+ 42= 315

The diameter of the new rubber ball, to the nearest foot, must be D =  4.0 ft (in the case of the maximum cost).

Remember that for a sphere of diameter D, the surface area is:

A = 4*pi*(D/2)^2

In this case, the cost is $0.02 per square foot, and the company wants to expend (at maximum) $1 per ball, so first we need to solve:

$0.02*A = $1

A = $1/$0.02 = 50

So the surface of the ball must be 50 square feet.

Then we solve:

50ft^2 = 4*3.14*(D/2)^2

D = 2*√(50 ft^2/(4*3.14)) = 4.0 ft

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Answer: She will use 6 cans of pinto beans .

She will use 6 cans of kidney beans.

Step-by-step explanation:

As per given,

For bean salad : lima beans : pinto beans : kidney beans

= 3:2:2

Let quantity of lima beans = 3x, pinto beans 2x , kidney beans 2x.

if she use 9 cans of lima beans, then

3x=9

⇒x=9

Now, 2x= 2 x 3 =6

Thus , she will use 6 cans of pinto beans and 6 cans of kidney beans.

Answer:

A complete angle measures - 360⁰

So, (x-5) + (2x-25) + 3x = 360⁰

6x - 30 = 360⁰

x- 5 = 360/6

x = 65⁰

Thus, x-5 = 60⁰

2x - 25 = 105⁰

3x = 195⁰

Step-by-step explanation:

x=0,6x-x2=0 x=1,6x-x2=5 x=2,6x-x2=8 x=3,6x-x2=9 x=4,6x-x2=8 x=5,6x-x2=5 x=6,6x-x2=0

0-0

1-5

2-8

3-9

4-8

5-5

6-0

The total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.20.

To calculate the total cost, we need to determine the cost of each type of binder clip separately and then sum them up.

The cost of medium binder clips is $5 per pound, and Kayla purchased 0.1 pounds. Therefore, the cost of medium binder clips is 0.1 pounds * $5 per pound = $0.50.

The cost of jumbo binder clips is $6 per pound, and Kayla purchased 0.2 pounds. Thus, the cost of jumbo binder clips is 0.2 pounds * $6 per pound = $1.20.

Finally, to find the total cost, we add the individual costs together: $0.50 + $1.20 = $1.70.

Therefore, the total cost of Kayla's purchase of 0.1 pounds of medium binder clips and 0.2 pounds of jumbo binder clips is $1.70.

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Answer:

The fuction f(x)= (x+3)^2-(x)^2 represents a straight line in graph because there is no 'y' in the equation, therefore, the value of 'y' will be - 0.

Step-by-step explanation:

The graph of function f(x) = (x+3)² - x² represent a straight line because it is linear in x.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f(x) = (x+3)² - x²

Now, We can simplify as;

⇒ f(x) = (x+3)² - x²

⇒ f(x) = x² + 9 - 3x - x²

⇒ f(x) = 9 - 3x

Which is linear in x.

Hence, The graph of function f(x) = (x+3)² - x² represent a straight line.

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\( \frac{ {x}^{2} + 2x - 8 }{ {x}^{2} - 3x - 10 } \)

let the denominator x² - 3x - 10 is f(x),

• Setting this factor equal to 0,

→ x² - 3x - 10 = 0

• By using Middle term splitting method,

→ x² - 5x + 2x - 10 = 0

→ (x² - 5x) + (2x - 10) = 0

• Taking common,

→ x( x - 5 ) + 2( x - 5 ) = 0

→ ( x - 5 ) ( x + 2 ) = 0

• Again, setting these factors equal to 0,

( x - 5 ) = 0 and ( x + 2 ) = 0

→ x = 5 → x = -2

Hence, the values that would make the fraction undefined is x = 5,-2...

The values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

To find the values that would make the fraction undefined, we need to identify any values of x that would make the denominator equal to zero.

The denominator of the fraction is (\(x^2 - 3x - 10\)). We need to solve the equation:

\(x^2 - 3x - 10 = 0\)

To factorize the quadratic equation, we look for two numbers that multiply to -10 and add up to -3. These numbers are -5 and 2:

(x - 5)(x + 2) = 0

Now, we can set each factor equal to zero and solve for x:

x - 5 = 0 => x = 5

x + 2 = 0 => x = -2

Therefore, the values x = 5 and x = -2 would make the fraction undefined since they would result in a zero denominator.

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Answer:

4

Step-by-step explanation:

The statement "(X, T) is Hausdorff but not connected" is false. In the given set X = {1, 2, 3, 4, 5} and the topology T defined as T = {∅, X, {1}, {1, 4}, {1, 5}, {1, 4, 5}}, it can be observed that X with this topology is not Hausdorff.  

This is because there exist points in X that cannot be separated by disjoint open sets. For example, the points 4 and 5 cannot be separated by disjoint open sets since any open set containing 4 also contains 5, and vice versa.

Furthermore, X with the given topology T is also not connected. It can be partitioned into two non-empty disjoint open sets, namely {1} and {2, 3, 4, 5}, which demonstrates that X is not a connected space.

Therefore, the correct statement is neither "(X, T) is Hausdorff but not connected" nor "(X, T) is connected and Hausdorff"

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Answer: Because multiplying or dividing by the reciprocal is the same.

There are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

1. First we need to identify the total number of seats in the lecture hall which is 200.

2. Then we need to identify the number of seats with folding arm tablets that are designed for wheelchair users which is 30.

3. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats.

4. Therefore, 200 - 30 = 170, which means there are 170 seats with folding arm tablets that are not designed for wheelchair users.

The lecture hall in question has a total of 200 seats, with 30 of those seats having folding arm tablets that are designed for wheelchair users. To find the number of seats with folding arm tablets that are not designed for wheelchair users, we can subtract the number of seats designed for wheelchair users from the total number of seats. This means that 200 - 30 = 170, which means there are number of 170 seats with folding arm tablets that are not designed for wheelchair users.

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Therefore , the solution of the given problem of area comes out to be parallelogram has a surface size of 83.136 square inches.

Its total size can be determined by figuring out how much room would be required to completely cover the outside. The surroundings were also considered when calculating the surface of a trapezoidal form. Something's total dimensions are determined by its surface area. The total of the edges joining each one of a cuboid five parallelogram sides indicates its capacity for subsurface water.

Here,

We can apply the following method to determine the parallelogram's area in the provided figure:

Base x height equals the parallelogram's area.

Let's designate the intersection of this line with AB as D. The illustration demonstrates that CD is parallel to AB.

=> tan(60 degrees) = CD/AC

=> tan(60 degrees) = CD/8

=> CD = 8 x tan(60 degrees)

=> CD = 8 x 1.732

=> CD = 13.856

Given that we now know CD's length, we can use it to determine the parallelogram's height.

=> Base x height equals the parallelogram's area.

=> Parallelogram's area = 6 x 13.856 inches.

=> Parallelogram's area = 83.136 square inches.

As a result, the parallelogram has a surface size of 83.136 square inches.

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Answer:

D is the answer

Step-by-step explanation:

5 units right and 3 units up

Answer:

Step-by-step explanation:

since  d > r   , becasue more daises, than roses,  we know that the answer must also reflect this logic.

A is  3r > r+d ,   can't be true, b/c with one rose,  the amount of roses + daises would be 3, and then 3r = r+d    so A is wrong

B is 3r ??? we don't have an equation or inequality to solve.  

C  3r = r+d,   this could be true if r=1  and d=2  and would also be correct for all the requirements.   C seems true,  

D Also,  for the teacher that wrote this,  " compare expressions"  means there are zero equal signs ,   expressions are with out equal signs,   equations have them,  as does C  :/   This teacher doesn't know what they are talking about.  >:/  

Based on the equation, the correct answer is D. There is not enough information to tell.

The statement "a garden has more daisies than roses, and there is at least one rose" implies that the number of daisies (d) is greater than the number of roses (r), but it does not provide any specific values for r and d.

Without knowing the specific values of r and d, we cannot determine whether 3r is greater than, equal to, or less than r + d. Therefore, the correct answer is D, indicating that there is not enough information to determine the relationship between 3r and r + d.

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Answer:

1. obtuse

2. straight

3. acute

4. 62°

5. 72° ( I think, I'm not too sure on this one)

There are three conditions for inference, which are:The sample is representative of the population.The sample size is sufficiently large.The sampling distribution is normal since the sample size is large enough.Below are the necessary steps to determine if the conditions for inference are met.

Step 1: Identifying the Population and Parameter Let p be the proportion of puppies that are house-trained by the time they are 6 months old. Since the objective is to determine if there is sufficient evidence to claim that p > 0.75, this implies that the hypothesis of interest is the alternative hypothesis which is:H1: p > 0.75 The null hypothesis, which is the complement of the alternative hypothesis, is:H0: p ≤ 0.75 Step 2: Checking the Randomization Condition The randomization condition is met if we assume that the 50 puppies are randomly selected from the population of all puppies.

The randomization condition is met.Step 3: Checking the Sample Size Condition A sample size of 50 puppies is not a small sample size, and this condition is met.Step 4: Checking the Independence Assumption It is assumed that the 50 puppies are independent. tribution to calculate the p-value or use the z-test for proportion to carry out the hypothesis test for the claim that more than 75% of puppies are house-trained by the time they are 6 months old.

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Answer:

There is no fixed domain, meaning it is ongoing

The range is from -1 ≤ x ≤ 3

It is a function

Step-by-step explanation:

Domain refers to the x values. If there was a domain then there would be a dot or a point signalling that there is a fixed domain, however, there are arrows meaning that it will keep going.

The range refers to the y-values. The lowest y-value is -1 and the highest is 3.

It is a function because, when you do the vertical line test, each x-value has its own y-value.

Answer: 18%

Step-by-step explanation:

I gogled

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

Explanation:

To get the time, we divide the distance over the speed

time = distance/speed

For instance, if it's 400 miles between two cities and you drive 50 mph, then it'll take 400/50 = 8 hours.

Answer:

(a) The best answer for residuals plot (a) is:

A. The fanned pattern indicates that the linear model is not appropriate. The model's predicting power decreases as the values of the explanatory variable increases.

A fanned pattern in the residuals plot suggests that the linear model is not appropriate because the variability of the residuals increases as the values of the explanatory variable increases. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

(b) The best answer for residuals plot (b) is:

B. The curved pattern in the residuals plot indicates that the linear model is not appropriate. The relationship is not linear.

A curved pattern in the residuals plot suggests that the linear model is not appropriate because the relationship between the variables is not linear. This indicates that the linear model is not capturing all the important features of the data and may not be the best fit for the data.

Answer:

y=-3x+6

Step-by-step explanation:

In the equation for a line y=mx+b, m is the slope, so you can get y=-3x+b.

You are given (1,3), so you can plug in 1 for x and 3 for y. You should get 3=-3(1)+b, so b=6. Plugging in b to y=-3x+b, you should get y=-3x+6.

The values of x1, x2, and x3 satisfy all three equations. To convert the augmented matrix [3 2 -5 -2 -1 5 0 -8] to the equivalent linear system.

We start by writing the coefficients of the variables x1, x2, and x3 in a matrix form, as follows:

| 3  2 -5 |   | x1 |   | -2 |
| -2  -1  5 | x | x2 | = | -8 |
| 0   1  -3 |   | x3 |   |  0 |

Each row of the matrix corresponds to an equation in the linear system, and the last column contains the constants on the right-hand side of the equations. To solve for the variables, we can use row operations to transform the matrix into row echelon form or reduced row echelon form. However, since we only need to express the linear system in terms of x1, x2, and x3, we can directly read off the equations from the matrix:

3x1 + 2x2 - 5x3 = -2
-2x1 - x2 + 5x3 = -8
x2 - 3x3 = 0

Therefore, the equivalent linear system is:

3x1 + 2x2 - 5x3 = -2
-2x1 - x2 + 5x3 = -8
x2 - 3x3 = 0

We can solve this system by substitution or elimination to find the values of x1, x2, and x3 that satisfy all three equations.

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1. We can say that polygons are similar if similar by comparing their corresponding angles and side lengths.

2. Theorems that can be used to prove that triangles are similar include the angle-angle (AA) similarity theorem, the side-side (SSS) similarity theorem, and the side-angle-side (SAS) similarity theorem.

3. The scale factor is 3

1. You can determine if polygons are similar by comparing their corresponding angles and side lengths. If all corresponding angles are congruent and all corresponding side lengths are proportional, then the polygons are similar.

2. Theorems that can be used to prove triangles are similar include the Angle-Angle (AA) Similarity Theorem, the Side-Side-Side (SSS) Similarity Theorem, and the Side-Angle-Side (SAS) Similarity Theorem.

3. If the preimage of a point is (6,2) and the image is at (3,1) after a dilation about the origin, then the scale factor is found by dividing the corresponding change in x-coordinates by the corresponding change in y-coordinates:

scale factor = (change in x-coordinates) / (change in y-coordinates)

= (6 - 0) / (2 - 0)

= 3

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