a given sequence $r 1, r 2,\dots, r n$ of distinct real numbers can be put in ascending order by means of one or more 'bubble passes'. a bubble pass through a given sequence consists of comparing the second term with the first term and exchanging them if and only if the second term is smaller, then comparing the third term with the current second term and exchanging them if and only if the third term is smaller, and so on in order, through comparing the last term, $r n$, with its current predecessor and exchanging them if and only if the last term is smaller.the example below shows how the sequence 1, 9, 8, 7 is transformed into the sequence 1, 8, 7, 9 by one bubble pass. the numbers compared at each step are underlined.\begin{align*}\underline{1 \quad 9} \quad 8 \quad 7 \\1 \quad {}\underline{9 \quad 8} \quad 7 \\1 \quad 8 \quad \underline{9 \quad 7} \\1 \quad 8 \quad 7 \quad 9\end{align*}suppose that $n

Rate at which volume of the snowball decreasing when the radius is 12 cm is 180.864 cm^3/min

Given:

a spherical snowball is melting in such a way that its radius is decreasing at a rate of 0.1 cm/min. at what rate is the volume of the snowball decreasing when the radius is 12 cm.

Let r be the radius of the spherical snowball

Radius is decreasing at rate of 0.1 cm/min.=> dr/dt = -0.1

(negative sign indicates decreasing)

Volume v = 4/3πr^3

dv/dt = 4/3 π 3r^2*dr/dt

= 12π/3*r^2*(-0.1)

= 4π*12^2*(-0.1)

= 4π*144*-1/10

= 4π*(-14.4)

= -57.6π

= 180.864 cm^3/min

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By using the travel distance formula, we found out that it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.

It is given to us that -

Two cities are 145 miles apart

Truck travels this distance in 2.5 hours

Car is 1.5 times as fast as the truck

We have to find out the time taken for the car and the truck to meet if they leave at the same time, and travel toward each other.

We know that -

[tex]Speed = \frac{Distance}{Time}[/tex] ----- (1)

Let us say that the speed of the truck is given by [tex]S_{t}[/tex] and the speed of the car is given by [tex]S_{c}[/tex].

Now, from equation (1), we can say that the speed of the truck,

[tex]S_{t}=\frac{145}{2.5} \\= > S_{t}= 58 miles per hour[/tex] ----- (2)

It is given to us that the car is 1.5 times as fast as the truck

=> [tex]S_{c}= 1.5 * 58\\= > S_{c}= 87 miles per hour[/tex] ----- (3)

It is mentioned that the car and the truck leave at the same time to meet each other.

Let us say that the truck meets the car at a distance 'd'.

This implies that the distance travelled by the car to meet the truck at a given point = (145-d)  --- (4)

From equation (1), we can say that

[tex]Time = \frac{Distance}{Speed}[/tex]

Also, we know that -

Time taken by truck to travel d miles = Time taken by car to travel (145-d) miles

[tex]\frac{d}{58}=\frac{145-d}{87} \\= > 87d = 8410-58d\\= > 145d=8410\\= > d = 58[/tex]

Thus, the truck will travel 58 miles to meet car after they leave at the same time.

So, the time taken for the car and truck to meet =

[tex]\frac{58 miles}{58 miles per hour} = 1 hour[/tex]

Therefore, according to the distance formula, it takes 1 hour for the car and the truck to meet if they leave at the same time and travel toward each other.

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The value of Tim's house at the start of 2018 is £146410

From the question, we have the following parameters that can be used in our computation:

Initial value = 100,000

Rate of increase = 10%

The value of the house x years after 2014 can be represented as the following exponential function

Value = Initial value * (1 + rate)ˣ

So, we have

Value = 100000 * (1 + 10%)ˣ

2018 is 4 years after 2014

This means that x = 4

So, we have

Value = 100000 * (1 + 10%)⁴

Evaluate

Value = 146410

Hence, the value is #146410

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The correct answer is the measure of two angles are 37.5° and 22.5°.

It is given that the measure of two angles are in the ratio 5:3 . Let the one angle be 5x and the other angle be 3x.

Difference of the angles = 5x - 3x

According to the question, the measure of the larger angle is 30° greater than half the difference of the angles

Thus we can write it as:

⇒ 5x - 1/2(5x-3x) =30°

⇒ 10x- (5x-3x) = 60°

⇒ 8x =  60°

⇒ x = 7.5°

Thus, the larger angle = 5x = 5×7.5= 37.5° and the smaller angle = 3x = 3× 7.5 = 22.5°

Hence, the measure of two angles are 37.5° and 22.5°.

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The equation of parabola in vertex form is [tex]y=-3(x-3)^2+1[/tex].

What is the vertex form of the parabola?

The equation of parabola in vertex form is as follows:

[tex]y=a(x-h)^2+k[/tex]

Here, (h,k) is the coordinate of vetex and a is the constant. From this form of parabola, vertex can be easily determined.

In the above equation, (h,k) is known and a can be determined by sustituting (2,-2) for (x,y).

Substitute (3,1) for (h,k) in the above equation.

[tex]y=a(x-3)^2+1[/tex]               .. (1)

Since the point (2,-2) lies on the parabola hence, it must satisfy the above equation. Substitute (2,-2) in the above equation.

[tex]-2=a(2-3)^2+1\\-2=a+1\\a=-3[/tex]

Now, substitute the value of a in equation (1).

[tex]y=-3(x-3)^2+1[/tex]

Hence, the equation of parabola in vertex form is [tex]y=-3(x-3)^2+1[/tex].

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Answer:

Step-by-step explanation:

(1/2)(1/2)=1/4

To calculate the mean of grouped data, the first step is to determine the midpoint of each interval, or class. These midpoints must then be multiplied by the frequencies of the corresponding classes. The sum of the products divided by the total number of values will be the value of the mean.

Mean = Sum / Number of terms

mean_of_points(data):

"""Calculate the mean of a given group of data points. You should not hard-code the dimensionality of the data points.

Arguments:

data: a list of lists representing a group of data points

Returns: a list of floats as the mean of the given data points """

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Answer:

Step-by-step explanation:

Step-by-step explanation:

The factors of 10 are 1,2,5,10.

Therefore the first 3 factors of 10 are 1,2,5

Answer:

∠ ABC = 50°

Step-by-step explanation:

∠ ABC and 130° are a linear pair and sum to 180° , that is

∠ ABC + 130° = 180° ( subtract 130° from both sides )

∠ ABC = 50°

The proximal tubule reabsorbs all of the filtered glucose and amino acids, as well as salt, chloride, potassium, and bicarbonate. So the option b is correct.

In the given question, we have to check most of the glucose that is filtered through the glomerulus undergoes reabsorption in the:

a. distal tubule

b. proximal tubule

c. descending limp of the loop of Henle

d. ascending limb of the loop of Henle

The proximal tubule reabsorbs all of the filtered glucose and amino acids, as well as salt, chloride, potassium, and bicarbonate. Additionally, sodium ion and glucose were co-transported in the proximal tubule by the co-transporter SGLT (sodium dependent glucose transporter). The ability to transport glucose distinguishes two SGLT (SGLT1 and SGLT2). Since SGLT2 is abundant in the S1 and S2 segments of the proximal tubule and SGLT1 has a high affinity for glucose, it filters 90% of the glucose. Option (b) is correct, therefore.

Option (a) is False, since the distal tubule is crucial to maintaining a healthy acid-base balance. The amount of extracellular fluid is regulated.

The descending limb of the Henle loop, which is involved in reabsorption of salt, urea, and water, makes option (c) incorrect.

Option (d) is likewise untrue because the ascending limb of the loop of Henle allows for the reabsorption of sodium, calcium, bicarbonate, chloride, and magnesium but not glucose.

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The write answer is;

Most of the glucose that is filtered through the glomerulus undergoes reabsorption in the:

a. distal tubule

b. proximal tubule

c. descending limp of the loop of Henle

d. ascending limb of the loop of Henle

The weight is pulled down 1 ft below its static equilibrium position and then released from rest at time t the phase angle is α=π÷16.

The mass in fps gadgets is m = 0.375 and the spring consistent is [tex]k = 12/5 × (lb)/(lt) = 24lb / ft .[/tex]

The round frequency is given through [tex]ω{0} ^ 2 = k/m = 64 , so ω{0} = 8rad / s[/tex] The damping consistent is[tex]c = 3lb - s / ft so p = i/(2m) = 4[/tex], and the machine is consequently underdamped. Then [tex]ω= (ω{0} ^ 2 - p ^ 2) = sqrt(48) = 4^(3)[/tex]so the overall answer is

[tex]x(t) = Ac ^ (- 4t) cos 4 t + B * c ^ (- 4t) * sin 4 ^3t\\v(t) = A * e ^ (- 4t) * (- 4cos 4 ^3 t - 4^3\\sin 4 * ^3 t) + B * e ^ (- 4t) * (- 4sin 4 * 63 t + 4^3 cos 4 ^3* t)[/tex]

We degree the displacement vertically, thinking about a displacement downwards as being positive, because it corresponds to stretching the string further.

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Answer:

J = 5 + (R x 2)

Step-by-step explanation:

the best way I can answer it is in a equation.

Josue equals whatever 5 + Rachel's doubled age is.

Excel's PivotReport Table can be used to construct a crosstabulation.

What is Pivot Report Table?

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Answer: If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by ASA rule.

The Angle Side Angle Postulate (ASA) says triangles are congruent if any two angles and their included side are equal in the triangles. An included side is the side between two angles.

Step-by-step explanation:

The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Given that,

Test the idea that the treatment means are equivalent at the 0.05 level of significance using the following data: six observations gathered from treatment 1, four observations gathered from treatment 2, and five observations gathered from treatment 3. treatment 1 therapy two therapies Required: 3 9 13 10 7 20 9 11 14 15 9 13 14 12 15 10.

We have to find name the null and the alternative hypotheses.

We know that,

For the given scenario, the null and alternative hypotheses are stated as below:

Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

Therefore, The Null hypothesis:

H₀: μ₁=μ₂=μ₃

Alternative hypothesis:

H₁: Treatment means are all not same.

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Here rolling of a die is a trial for the experiment.It had 6 possible outcomes.

The most well-known kind of bite the dust is a six-sided shape with the numbers 1-6 put on the countenances. The worth of the roll is demonstrated by the quantity of "spots" appearing on the top. For the six-sided kick the bucket, inverse countenances are organized to continuously aggregate to seven.

Then,

A preliminary is a strategy that can be limitlessness rehashed and has a clear cut set of conceivable outcomes.Here moving of a kick the bucket is a preliminary for the experiment.It had 6 potential results.

So, option  (a) is correct

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Answer:

y=2x-6

Step-by-step explanation:

y-4=2(x-5)

y-4=2x-10

 +4

y=2x-6

The net present value formula helps us to determine the net present value of boat repair model B14 model by Cleveland Cove enterprises.

so, the net present value is 384,285.714.

Net present value: The net present value is applied to a series of cash flows occurring at different times. The present value of a cash flow always depends on the interval of time between now and the cash flow.

NPV = Rt /(1+i)^t

where , Rt --> net cash flow at time t

i --> discount rate

t --> time of cash flow

We have given that , A company has narrowed their choices down to two: the B14 Model and the F54 Model.

F54 Model :

Residual value , = 18,000

Annual net cash inflow = 30,000

investment = 230,000

time , t = 10

rate of return,r = 12%

B14 Model :

Residual value , = 10,000

Annual net cash inflow = 80,000

investment = 330,000

time , t = 10

rate of return,r = 8%

we have to calculate the net present value for model B14.

so, Net present Value = present value of annually cash - investment

present value of annually cash

= 80000/1.12 = 71,428.571

Net present value =71,428.571 ×10 - 330000

= 714,285.71 - 330,000 = 384,285.714

hence, net present value for model B14 is 384,285.714

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Complete question:

Cleveland Cove Enterprises is evaluating the purchase of an elaborate hydraulic lift system for all of its locations to use for the boats brought in for repair. The company has narrowed their choices down to two: the B14 Model and the F54 Model. Financial data about the two choices follows. B14 Model investment 330,000 useful life (yr) 10 , estimated annual cash inflow 80,000

F54 Model Investment 230 comma 000 Useful life (years) 10 10 Estimated annual net cash inflows for useful life 33 comma 000 Residual value 18 comma 000 Depreciation method Straightminusline Straightminusline Required rate of return 12% 8% What is the net present value of the B14 Model?

By using operations on integers, it can be calculated that

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

What is operation on integers?

At first it is important to know about integers

Integers are those numbers without any fractional part. Integers can be positive or negative and zero is also an integer.

The operation on integers are

Addition

Suppose there are numbers and the sum of those numbers has to be calculated. For this addition is used

Subtraction

To find the difference between two integers, subtraction is used

Multiplication

Repeated addition is called multiplication. Multiplication is used to find the product of two or more integers

Division

Division is the process by which value of single unit can be calculated from the value of multiple unit.

The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.

There is a well known formula for division

Divisor x Quotient + Remainder = Dividend.

This problem can be solved using operation on integers

On Intel IA 32, the address is 32 bit or 32 [tex]\div[/tex] 8 = 4 bytes

On Intel x86 - 64, the address is 64 bit or 64 [tex]\div[/tex] 8 = 8 bytes

On an array of size 3,

On Intel IA 32, the address is  4 [tex]\times[/tex] 3 bytes = 12 bytes

On Intel x86 - 64, the address is  8 [tex]\times[/tex] 3 bytes = 24 bytes

Difference between the address = 24 - 12 = 12 bytes

Difference between the amount of memory allocated by char*arr[3] on the intel ia 32 versus the intel x86-64 is 12 bytes

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Complete Question

how many bytes difference will there be in the amount of memory allocated by the following code on the intel ia 32 versus the intel x86-64?

char*arr[3]

The numbers that are n times 15 is known as multiple of 15. The numbers are 15, 30, 45, 60, 75, 90, 105, 120, 135, 150,..............

In the given question we have to find what is 15 a multiple of.

The numbers that are n times 15, where n is 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, and so forth, are considered multiples of 15. Therefore, multiples are essentially any integer multiplied by n, where n is a list of all natural numbers. Thus, the multiples of 15 have the form of 15n, as in:

15×1, 15×2 ,15×3 ,15×4, 15×5, 15×6, 15×7, 15×8, 15×9, 15×10,....................

15, 30, 45, 60, 75, 90, 105, 120, 135, 150,................................

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Answer:

The bicycle that originally cost $375 is the best to be sale at 285. a discount of $88 unlike the discount of an electric scooter.

The last option is correct that is not a statement. Since the statement is neither true nor untrue, it cannot be considered a statement.

Given that,

We have to find the following sentence a statement or not.

We know that,

The statement is the sentence in this box is a lie.

The sentence in the box may be true or a lie we don't know exactly

So it is not a statement

A statement must give a confirmed information

Hence last option is correct

Therefore, The last option is correct that is not a statement. Since the statement is neither true nor untrue, it cannot be considered a statement.

Complete question: Is the following sentence a statement? Why or why not?

The sentence in this box is at lie.

Statement. The sentence is true. Therefore, it is a statement.

Statement. The sentence is neither true nor false, and so it is a statement.

Statement. The sentence is false. Therefore, it is a statement.

Not a statement. The sentence is false, and so it is not a statement.

Not a statement. The sentence is neither true nor false, and so it is not a statement.

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Translation of x with 5 units to the left is ( x + 5 ) and 7 units up is ( x + 7 ) .

As given in the question,

The translation represents the movement of the original shape in the coordinate plane.

Translation of x for the given conditions :

5 unit to the left :

Here function shift 5 units to the left by adding 5 in the function.

x → ( x + 5 )

7 units up

Function shift 7 units up by adding 7 in the function.

x → ( x + 7 )

Therefore, translation of the function by 5 units left is x+5 and 7 units up is x + 7.

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The p-value statistic to test the claim that the average weight of all babies is greater than 7.5 lbs. is 7.293.

a) Data set : 9.2, 6.5, 4.3, 5.5, 7.2, 9.5, 11.2, 8.5, 5.2, 4.7, 11.0, 7.4, 8.2, 6.9, 4.1

mean of the data set = sum / frequency

mean = 7.293.

Standard deviation

=  √(871.96-797.98)/14

= 2.3001

Hence the point of estimate = 7.293

b) Using p-value> q(.80)

p> 1.282

And the sample average is just mean(x)

p>7.2933

So our margin of error is

e <- 1.282*(2.3001/sqrt(15))

e<0.7614

The lower and upper bounds are:

= mean(x) - e = 6.5319

= mean(x) + me = 8.0547

Hence the lower and upper bounds for the p-value will be 6.5319 and 8.0547 .

A statistical calculation known as a p-value is employed to assess the applicability of a hypothesis to the data. A p-value establishes the likelihood that the outcomes that were observed would occur if the null hypothesis were true. The found difference becomes statistically more significant as the p-value decreases.

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The probability that a person will buy pop corn and soda is 9/20

Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.

probability = sample space / total possible outcome

The total possible outcome here is 100

The probability that a person will buy popcorn if they have already decided to buy soda = probability that a person will buy both soda and popcorn

therefore the probability of a person buying both soda and pop corn= 45/100=9/20

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Answer:  The correct answer is (3x−y)(2a−b)

Step-by-step explanation:

Factor 3x(2a−b)−y(2a−b)

6ax−2ay−3bx+by

=(3x−y)(2a−b)