3a/8b 6a/16b are these fractions equivalent or nonequivalent

Answers

Answer 1

The fractions 3a/8b and 6a/16b are equivalent which was calculated after simplifying 6a/16/b.

What is the definition of fraction?In mathematics, a fraction is used to represent a piece or part of a whole. It symbolizes the equal pieces of the whole. A fraction is made up of two parts: the numerator and the denominator. The top number is known as the numerator, while the bottom number is known as the denominator.

What is the Simplifying Fractions Rule?

The rule for simplifying fractions is to cancel out the common elements in the fraction's numerator and denominator. In other words, we must ensure that the numerator and denominator are both prime integers.

Given fractions: 3a/8b and 6a/16b

We need to check if both these fractions are equivalent or not.

Consider the fraction 6a/16b

On simplifying it, we get 3a/8b which is equal to the given function 3a/8b

6a/16b = 3a/8b

Therefore both the fractions 3a/8b and 6a/16b are equivalent which was calculated after simplifying 6a/16/b.

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Related Questions

Bookmarks are on sale at a store: buy 4, get 1 free! A teacher
bought 47 bookmarks for their students. If each bookmark
costs $1.30, how much did the teacher spend on bookmarks?
LA
Enter the answer

Answers

Answer:

Step-by-step explanation:

$52.00

Write a formula for g(x) in terms of x.

Write a formula for g(x) in terms of x.

Answers

The formula of g(x) is g(x) = -0.8x - 1.6

How to determine the formula of g(x)?

The equation is given as:

-4x - 6 = 5y + 2

Subtract 2 from both sides

5y = -4x - 8

Divide through by 5

y = -0.8x - 1.6

Express as a function

g(x) = -0.8x - 1.6

Hence, the formula of g(x) is g(x) = -0.8x - 1.6

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Qn in attachment
.
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Qn in attachment...

Answers

Answer: d

Step-by-step explanation:

Answer:

pls mrk me brainliest

Step-by-step explanation:

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Qn in attachment...

Do
this mathematics operations using the rules of precision
(9.11)+(6.232)
(7.4023)x(19)
(9.162)-(2.39)
(0.00482)x(213)
(8.73)/(5.198)
(7644)/(0.13)

Answers

Answer:

Step-by-step explanation:

Sure! I'll perform the mathematical operations using the given numbers and apply the rules of precision. Please find the results below:

(9.11) + (6.232)

The sum of 9.11 and 6.232 is 15.342.

(7.4023) x (19)

The product of 7.4023 and 19 is 140.844.

(9.162) - (2.39)

The difference between 9.162 and 2.39 is 6.772.

(0.00482) x (213)

The product of 0.00482 and 213 is 1.02786.

(8.73) / (5.198)

The division of 8.73 by 5.198 is 1.67920734.

(7644) / (0.13)

The division of 7644 by 0.13 is 58,800.

Please note that the results are rounded to the appropriate number of decimal places based on the precision rules.

find the volume of the cylinder

find the volume of the cylinder

Answers

We are given the measurements here. Let’s solve this with steps:

1. Identify radius

Since 6 is the diameter, we can cut that in half to find that 3 is the radius.

2. Square it

Now that we know 3 is the radius, let’s square it:

3^2 = 9

3. Plug in pi with the formula and the given measurements

V = 3.14 (9) (9)

V = 254.34 cm^3

Answer Recap: The volume of the cylinder is 254.34 cm^3 (cubed).

Area of base:

3 * 9 = 27

27*9 = 243

So, 243 is the answer.

find the total differential of the function w = e y cos(x) z^2 .

Answers

To find the total differential of the function w = e^y * cos(x) * z^2, we can take the partial derivatives with respect to each variable (x, y, and z) and multiply them by the corresponding differentials (dx, dy, and dz).

The total differential can be expressed as:

dw = (∂w/∂x) dx + (∂w/∂y) dy + (∂w/∂z) dz

Let's calculate the partial derivatives:

∂w/∂x =   \(-e^{y} * sin(x) * z^{2}\)

∂w/∂y =  \(e^{y} * cos(x) * z^{2}\)

∂w/∂z =  \(2e^{y} *cos (x)* z\)

Now, let's substitute these partial derivatives into the total differential expression:

\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y}* cos(x) * z^{2} ) dy + 2e^{y} *cos (x)*z) dz\)

Therefore, the total differential of the function w = e^y * cos(x) * z^2 is given by:

\(dw = (-e^{y} * sin(x) * z^{2} ) dx + (e^{y} * cos(x) * z^{2} ) dy + ( 2e^{y} * cos(x) * z) dz\)

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The efficiency of amar, bobby and chandu is 3:2:5. amar alone can complete the work in 50 days. they all work together for 4 days and then chandu left. in how many days amar and bobby together can complete the remaining work?

Answers

Time taken for amar and bobby together to complete the remaining work is;  22 days

How to Solve Proportion?

Efficiency of amar, bobby and chandu is in the ratio 3:2:5.

Total work by Amar = 3 * 50 = 150 units

Work done by amar, bobby and chandu in 4 days = (3 + 2 + 5) * 4 = 40 units

Remaining work = 150 - 40 = 110 units

Efficiency of Amar and Bobby = 3 + 2 = 5 units

Thus;

Time taken for amar and bobby together to complete the remaining work is; 110/5 = 22 days

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Equivalent Expression:
-3(m-2)

a) -3(m)-3(-2)
b) -3(m)+2
c) -9m
d) 9m

Answers

Answer:

a

Step-by-step explanation:

-3(m-2)

-3(m)-3(-2)

-3m+6

A cream is sold in a 38 gram container. the average amount of cream used per application is 2 5/7 gram. how many applications can be made with the container?

Answers

Answer:

The answer to the problem should be 14

How many times does a dragonfly’s wing beat per minute if the beats are 38 per second

Answers

Answer:

2280 beats per minute

Step-by-step explanation:

38*60 sec/min = 2280

hope this helps, pls mark brainliest :D

A store pays $76 for a ceramic vase and marks the price by 30%. What is the amount of the mark-up?

Answers

Answer:

$110.2

Step-by-step explanation:

$76 × 45%

$34.2

$76 + $34.2

$110.2

Answer two questions about Systems AAA and BBB

1) How can we get System BBB from System AAA?

2) Based on the previous answer, are the systems equivalent? In other words, do they have the same solution?

Answer two questions about Systems AAA and BBB1) How can we get System BBB from System AAA?2) Based on

Answers

1. To get system B form A: C. Swap only the right-hand sides of both equations.

2. They are not equivalent systems.

How to Find the Solution to a System of Equations?

The point of intersection of two equations of a system gives us the solution, which is the coordinate of that point.

If two systems are equivalent, then they will have the same solution or point of intersection.

1. To get system B from A, the values at the right hand side of both equations were swapped.

2. The graph of system A, -10x - 4y = 0 and -2y + 7y = 8 is given in figure 1. The solution is (-0.64, 1.6).

The graph of system B, -10x - 4y = 8 and -2y + 7y = 0 is given in figure 2. The solution is (-0.8, 0).

Therefore, the systems are not equivalent.

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Answer two questions about Systems AAA and BBB1) How can we get System BBB from System AAA?2) Based on
Answer two questions about Systems AAA and BBB1) How can we get System BBB from System AAA?2) Based on

the tread life of a particular brand of tire is a random variable best described by a normal distribution with a mean of 60,00 miles and a standard deviation of 2700 miles. what warranty should the company use if they want 96% of the tires to outlast the warranty?

Answers

According to the standard deviation, the company should offer a warranty period that covers at least 65,895 miles to ensure that 96% of the tires sold will outlast the warranty.

To do this, we use a z-score table, which gives the probability of getting a z-score less than or equal to a given value. The z-score is a measure of how many standard deviations a data point is from the mean.

To find the z-score for the top 4% of the tires, we first subtract 96% from 100% to get 4%. Then we divide this by 2 to get 2%, as we are interested in the area under the normal distribution curve in the right tail. Using the z-score table, we find that the z-score corresponding to a 2% area under the curve is approximately 2.05.

Next, we use the formula for converting a z-score to a data value:

z = (x - μ) / σ

where z is the z-score, x is the data value, μ is the mean, and σ is the standard deviation. Solving for x, we get:

x = z x σ + μ

Plugging in the values, we get:

x = 2.05 x 2700 + 60000

x ≈ 65,895

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A ball i drawn randomly from a jar that contain 5 red ball, 2 white ball, and 1 yellow ball. Find the probability of: Find P(red ball): Find P(NOT Yellow): Find P(white or yellow)

Answers

Following are all of the subparts' solutions using the probability formula:

Red ball (A) P: 5/8

(B) P: 7/8 (NOT Yellow)

(C) P(yellow or white): 3/8

What is probability?

Probability is a branch of mathematics that deals with numerical representations of the likelihood of an event occurring or of a proposition being true.

What is an event?

The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.

Probability formula: P(E) = favorable events/Total events

(A) P(red ball):

P(E) = favorable events/Total events

P(E) = 5/8

(B) P(NOT Yellow)

P(E) = favorable events/Total events

P(E) = 7/8

(C) P(white or yellow)

P(E) = favorable events/Total events

P(E) = 3/8

Therefore, the answers to all the subparts using the probability formula are shown:

(A) P(red ball): 5/8

(B) P(NOT Yellow): 7/8

(C) P(white or yellow): 3/8

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Find an expression which represents the difference when(8x−5) is subtracted from (7x−9) in simplest terms.

Answers

The expression that represents the difference between (7x - 9) and (8x - 5) in Simplest terms is -x - 4.

The difference between (7x - 9) and (8x - 5), we need to subtract the second expression from the first.

(7x - 9) - (8x - 5)

To simplify this expression, we distribute the negative sign to the terms inside the parentheses:

7x - 9 - 8x + 5

Next, we can combine like terms by adding or subtracting coefficients of similar variables:

(7x - 8x) + (-9 + 5)

Simplifying further:

-x + (-4)

Finally, we can combine the two negative terms:

-x - 4

Therefore, the expression that represents the difference between (7x - 9) and (8x - 5) in simplest terms is -x - 4.

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The chambered nautilus is a deep-sea creature with a spiral shell that can withstand pressure up to
1180
11801180 pounds per square inch
(
psi
)
(psi)left parenthesis, start text, p, s, i, end text, right parenthesis. Underwater pressure consists of atmospheric pressure, which is
14.7

psi
14.7psi14, point, 7, start text, p, s, i, end text, plus
0.45

psi
0.45psi0, point, 45, start text, p, s, i, end text of hydrostatic pressure per foot of depth under water. To the nearest foot, what is the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure?

Answers

The maximum depth under water at which the shell of a chambered nautilus can withstand the pressure is 2589 feet (rounded to the nearest foot).

To determine the maximum depth at which the shell of a chambered nautilus can withstand the pressure, we need to calculate the total pressure the shell can endure and then convert it to depth. The total pressure consists of atmospheric pressure and hydrostatic pressure per foot of depth underwater.

The atmospheric pressure is 14.7 psi, and the hydrostatic pressure per foot of depth is 0.45 psi. We can set up the equation:

Total Pressure = Atmospheric Pressure + Hydrostatic Pressure * Depth

We know that the maximum pressure the shell can withstand is 1180 psi. By substituting the given values into the equation, we can solve for the depth. Rearranging the equation, we have:

1180 psi = 14.7 psi + 0.45 psi/ft x  Depth

Simplifying the equation, we get:

0.45 psi/ft x Depth = 1180 psi - 14.7 psi

By subtracting the atmospheric pressure from the total pressure, we find:

0.45 psi/ft x Depth = 1165.3 psi

Finally, by dividing both sides of the equation by 0.45 psi/ft, we can determine the depth to the nearest foot at which the shell can withstand the pressure. The calculated depth is approximately 2589 feet. Therefore, the maximum depth under water at which the shell of a chambered nautilus can withstand the pressure is 2589 feet (rounded to the nearest foot).

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Answer: The answer is 2589 feet .

Step-by-step explanation: Quite simple it is 2589 feet .

1. Joe worked 80 hours in the last pay period (2 weeks) and he earns $12 per
hour.

Answers

Answer:

You don't have a question but if you're asking how much does he earn in the one pay period it's 80 x 12 =$960

Step-by-step explanation:

let me know if that helps otherwise i can give a different answer

3/4x=-6
please answer with steps.

Answers

Answer:

x=-8

Step-by-step explanation:

Multiply both sides- 4/3x2/4=4/3x(-6)

Reduce multiply

x=-4x2

x=-8

Answer:

13/6

Step-by-step explanation:

1. remove perenthases and distrubute 3 through both sides of the eqation.

2.move 18 to the right and make it +18 instead of -18

3.calculate 8+18 to get 26

4.divide both sides if the eqation by 12 to 13/6

hope this helps!

19. A ladder leans against the wall and reaches a point
24 feet up the wall. The base of the ladder is 6 feet
from the wall. To the nearest degree, what angle
does the ladder make with the wall?
D
24
E 6 F

19. A ladder leans against the wall and reaches a point24 feet up the wall. The base of the ladder is

Answers

Answer: 14

Step-by-step explanation:

(Which word best describes the degree of overlap between the two data sets?
Responses (I WANT EXPLANATION ON HOW TO DO IT AND ANSWER PLEASE TY)

high

moderate

none

low
Two line plots with the same scale and interval, from zero to ten, with tick marks every one unit. The plots are stacked vertically for comparison. Each plot has sixteen data values. Values appear as x marks above the line. Upper plot data values are one x mark above two, one x mark above three, one x mark above four, two x marks above five, four x marks above six, three x marks above seven, two x marks above eight, one x mark above nine, and one x mark above ten. Lower plot data values are one x mark above 1, two x marks above two, three x marks above three, four x marks above four, two x marks above five, two x marks above six, one x mark above seven, and one x mark above eight.

(Which word best describes the degree of overlap between the two data sets?Responses (I WANT EXPLANATION

Answers

The degree of overlap between the two data sets is moderate. Therefore, the correct answer is B. moderate.

What is the degree of overlap?

To determine the degree of overlap between the two data sets, we need to visually compare the line plots. Based on the description provided, we can see that the two line plots have some common data points but also have different data values.

The upper plot has data values that range from 2 to 10, while the lower plot has data values that range from 1 to 8. However, both plots share some common data values such as 2, 3, 4, and 5.

Therefore, we can say that the degree of overlap between the two data sets is moderate. While there are some common data values, the majority of the data values are different between the two plots.

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Canada and the European Union require that cars be equipped with "daytime running lights," headlights that automatically come on at a low level when the car is started. Many manufacturers are now equipping cars sold in the United States with running lights. Will running lights reduce accidents by making cars more visible? An experiment conducted in a driving simulator suggests that the answer may be "Yes." What concerns would you have about generalizing the results of such an experiment?

Answers

Probably not all driving scenarios can be accurately simulated by a driving simulator. Additionally, it's likely that simulator users have a different mindset than when they're actually behind the wheel.

Define the term experiment?

The cited data:

By improving visibility during the day, daytime running lights can reduce accidents. Daytime running lights are used to help drivers gauge the size of the vehicle.

Idea applied in experiment:

An institutional review committee must first approve any human experiments. All participants must give their informed consent prior to participating. Any details pertaining to study participants must remain confidential.

A driving simulator is therefore unlikely to adequately replicate all driving scenarios, which is one of our concerns about extending the outcomes of such an investigation.

Thus, users of driving simulators are also probably in a different frame of mind than they are while driving is real life.

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Solve for the volume of the pyramid. Show your work and explain the steps you used to solve.

Solve for the volume of the pyramid. Show your work and explain the steps you used to solve.

Answers

The volume of the pyramid is 3733.33 m³.

Having a square base and four lateral sides, a square pyramid is a type of pyramid in geometry. Having three or more triangular faces that intersect above its base, a pyramid is a particular kind of polyhedron (the apex).

The building is in the shape of a square pyramid.

The base of the building is 20 meters long.

The height of the building is 28  meters.

The volume of the right square pyramid is given as:

V = ( 1/3)a²h

Where a is the base and h is the height.

Now we have,

a = 20 m and h = 28 m

So,

V = ( 1/3 ) × 20 × 20 × 28

V = ( 1/3 ) × ( 20 )² × 28

V = 11200/3

V = 3733.33 m³

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determine the domain and the range of the function .f = {(10,1 ),(17,-6),(45,1 ),(51,5 )}

Answers

The given function f, with the provided set of ordered pairs, has a domain of {10, 17, 45, 51} and a range of {-6, 1, 5}.

The domain of a function refers to the set of all possible input values or x-values for which the function is defined. In this case, the given set of ordered pairs determines the domain. Looking at the x-values in the set {10, 17, 45, 51}, these are the unique inputs for which the function f is defined. Hence, the domain of f is {10, 17, 45, 51}.
On the other hand, the range of a function refers to the set of all possible output values or y-values that the function can take. By examining the y-values in the set {-6, 1, 5}, we can observe the distinct outputs generated by the function f. Thus, the range of f is {-6, 1, 5}.
In summary, the domain of the function f is {10, 17, 45, 51}, and the range of f is {-6, 1, 5}.

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What part of an hour passes between 4:56 p.m. and 5:32 p.m.?

Answers

3/5 part of an hour passes in between two times given.

What is fraction?

A fraction represents a vicinity of a full or, a lot of typically, any variety of equal elements. once spoken in everyday English, a fraction describes what number elements of a precise size there ar,

Main body:

The time given are = 4:56 and 5:32

Total time spent between = 4+ 32

                                           = 36 minutes

Total minutes in 1 hour = 60

So parts spent = 36/60

now simplifying we get.

= 3/5

Hence the answer is 3/5 .

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Give a 99.5% confidence interval, for μ 1 − μ 2 given the following information. n 1 = 35 , ¯ x 1 = 2.08 , s 1 = 0.45 n 2 = 55 , ¯ x 2 = 2.38 , s 2 = 0.34 ± Rounded to 2 decimal places.

Answers

The 99.5% confidence interval for the distribution of differences is given as follows:

(-0.5495, -0.0508).

How to obtain the confidence interval?

The difference between the sample means is given as follows:

\(\mu = \mu_1 - \mu_2 = 2.08 - 2.38 = -0.3\)

The standard error for each sample is given as follows:

\(s_1 = \frac{0.45}{\sqrt{35}} = 0.076\)\(s_2 = \frac{0.34}{\sqrt{55}} = 0.046\)

Hence the standard error for the distribution of differences is given as follows:

\(s = \sqrt{0.076^2 + 0.046^2}\)

s = 0.0888.

The confidence level is of 99.5%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.995}{2} = 0.9975\), so the critical value is z = 2.81.

Then the lower bound of the interval is given as follows:

-0.3 - 2.81 x 0.0888 = -0.5495.

The upper bound of the interval is given as follows:

-0.3 + 2.81 x 0.0888 = -0.0508

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assume you have applied for two jobs a and b. the probability that you get an offer for job a is 0.25. the probability of being offered job b is 0.20. the probability of getting at least one of the jobs is 0.40. what is the probability that you will be offered both jobs? enter your answer as a decimal rounded to two places.

Answers

Answer: the probability of being offered both jobs is 0.05, or 5%

Step-by-step explanation:

To solve this problem, we can use the formula:

P(A or B) = P(A) + P(B) - P(A and B)

where P(A or B) is the probability of getting at least one job offer, P(A) is the probability of getting an offer for job A, P(B) is the probability of getting an offer for job B, and P(A and B) is the probability of getting an offer for both jobs.

Substituting the given values, we get:

0.40 = 0.25 + 0.20 - P(A and B)

Solving for P(A and B), we get:

P(A and B) = 0.25 + 0.20 - 0.40 = 0.05

Therefore, the probability of being offered both jobs is 0.05, or 5% (rounded to two decimal places).

In San Francisco, 1 US gallon of petrol costs $3.34
In Manchester, 1 litre of petrol costs 107.6p
1 US gallon =3.785 litres
£1=$1.46
In which city is petrol better value, San Francisco or Manchester?
You must show your working.

Answers

Answer:

  San Francisco

Step by step explanation:

Given that 1 US gallon of petrol costs $3.34 in San Francisco, and 1 litre of petrol costs 107.6p in Manchester, with conversion rates being 3.785 litres per gallon and $1.46 per 1£, you want to know the city where the value is better.

Comparable cost

We can compare the costs by converting the rate in Manchester to a dollar cost per gallon.

The cost of 1 litre in Manchester is £(107.6/100) = £1.076. The cost of 1 US gallon of petrol in Manchester is 3.785 × £1.076 = £4.07226. Converted to dollars, that is 4.07266 × $1.46 ≈ $5.95.

In San Francisco, the cost of 1 US gallon is $3.34.Therefore, the cost of 1 US gallon of petrol in San Francisco is a better value. The price of petrol is higher in Manchester than in San Francisco.

Suppose x has a normal distribution with mean 80 and standard deviation 5. What is the 90th percentile of x?.

Answers

The 90th percentile of x is 70.

What is standard deviation?

A set of values' variance or dispersion is measured by the standard deviation. While a high standard deviation implies that the values are dispersed over a wider range, a low standard deviation shows that the values tend to be close to the mean of the collection.

Given: Mean = 80, s = 5.

Computing values to standard deviation from mean,

Lower limit = mean - 2s

                 = 80 - 2(5)

                 = 80 - 10

Lower limit = 70

Hence, if x has a normal distribution with mean 80 and standard deviation 5 then the 90th percentile of x is 70.

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what is 2 2/3 dived by 1 1/4 equal

Answers

22 1/2)/(1/4)=?

22 1/2= 23/2

then we get:

(23/2)/(1/4)=?

we can flip the 1/4 to 4/1 and multiply instead of dividing so we get:

(23/2)X(4/1)=?

multiply numerators and denominators:

(23/2)X(4/1)=92/2

simify:

=46

what is the square root of pi?

Answers

The square root is 1.77245385091

Answer:

1.77245385091

Step-by-step explanation:

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Determine delta S for H2(g) + I2(g) = 2HI(g) given the following information:Substance S (J/mol K)H2(g) 130.58I2(g) 116.73HI(g) 206.3 Demonstrate the condition of a while loop that runs no more than five times using the variable x, which is initialized at x = 1. Can you calculate the cash position indicator? Round your answer to the nearest two decimals if needed. Type your answer as percentage and not as decimal (i.e. 5.2 and not 0.052). Do not type the % symbol.MillionsCash and deposits held at depository 648institutions Government Securities 291Federal funds sols 244Net loans and leases 4,391Total AssetsFederal funds purchased 281Demand deposits 1,315Time deposits 2,443 f(x)=3x+4x-6 find f(-2) adapted from Cats: Their Points and Characteristicsby W. Gordon StablesAre cats to be trusted?A question like this, which to kitty is a most momentous one, affecting not only her comfort and happiness, but her standing as a social pet and her very existence itself, cannot be treated lightly in a work like mine. My own opinion is, and always has been, that if cats are properly fed and cared for, they will do anything rather than steal. However, I was not content with providing just my own experience in this volume, since some might say my cats have been exceptional. Instead, I placed cats in court, as it were, and given them a long, fair, and impartial trial. For several months, I have summoned evidence for and against cats honesty from people all throughout Great Britain and Ireland.Based on the information my participants provided, the verdict is as follows: Cats are not as a rule thieves, but in fact, quite the reverse. In most cases, when properly treated, cats are to be trusted.In every case investigated, where a feline theft was proven, it turned out that the cat had been mistreated. Of course, a cat that has no food or is left out overnight may prowl or steal. However, by regular feeding, good housing, occasional gentle correction when your cat is misbehaving and kindness, you may make almost any cat honest.9Select the correct answer from each drop-down menu.What structural element of the paragraph is the underlined sentence, and how does it connect ideas in the text?The underlined sentence is .It connects ideas in the text by . in a recent study on the effects of sleep and test results, volunteers took a math test. the volunteers who had 8 hours of sleep were three times more likely to answer questions correctly on the math test than were sleep-deprived volunteers. complete parts a through d. What is the message of 2 Timothy 3? A local bank offers a CD with and APR of 8.89 percent that compounds monthly. What is the effective annual rate on the CD? Answer should be formatted as a percent with 2 decimal places (e.g. 99.99). Rodneys mass is 84kg and he is standing on a bathroom cscale in an elevator starting from rest, the elevator accelerates upward at 2.25 m/s^2 for 3.01 and then continuetes at a constnat speed. is the sacle reading duriong accleration gratin than, equal to, or less than the scale reading when the elevator is at rest\ 21x21 I need real help with this.Really struggling ;) PLEASE PLEASE HELP IM TIMED!! Just look at the picture Write a Java static method countNums() that gets a file name as parameter, counts the number of double numbers in that file, and returns this count.Write Java statements that call countNums() method, than print the number of numbers in the file.Part 2:Write a Java static method readNums() that gets a file name and an integer number (size) as parameters, then creates an array of doubles of the given size, reads numbers from file, stores them into this array, and returns the created array.Write a Java static method printArray() that takes an array of doubles as parameter, and prints the values with a space between them, and 10 numbers on each line.Write Java statements that creates an array of doubles by calling readNums() method, then print the array by calling printArray() method as seen in sample run below.Part 3:Write a Java static method bubbleSort() that takes an array of doubles as parameter, and sorts this array in descending order using the Bubble sort algorithm.Write Java statements that calls bubbleSort() method to sort the array and print the array by callingprintArray() method.You can use the bubbleSort() method of the program shared in LMS, but be aware that it needs modifications to sort array of doubles and also descendengly.Part 4:Write a Java static method average() that takes an array of doubles as parameter, and computes and returns the average of the numbers in the array.Write Java statements that get the average by calling average() method with the sorted array, print the maximum, minimum values and the average, as seen in sample run below.The average has to be printed with only 4 decimal digits, so please use printf method with appropriate formatting, instead of println method.Your program will have five methods: countNums(), readNums(), printArray(), bubbleSort(), average(). Attention: Use an array, not an ArrayList! a 2.00 m tall basketball player is standing on the floor 10.0 m from a basket which is 3.05 m. if he shoots the ball at a 40.0 degree angle with the horizontal, at what initial speed must he throw the basketball so that it goes through the hoop without striking the backboard? the height of the basket is 3.05 m. Select all that apply. Given the following code fragment, which of the things shown below happen when the statement on line 8 executes?1 int square(int a)2 {3 return a * a4 }5 int main()6 {7 int x = 0;8 x = square(5);9 cout determine whether the equation below has a one solutions, no solutions , or an infinite number of solutions. afterwards determine two values of x value that support your conclusion