If you are given a table of values, how can you determine if a direct variation exists?

Using a proportional relationship, it is found that Alexa makes $146.45 in 5.5 hours.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality.

The constant in this problem is:

k = 213.6/8 = 427.2/16 = 827.7/31 = 26.7.

Hence her earnings for x hours of work is:

y = 26.7x.

For 5.5 hours of work, her earnings are:

y = 26.7(5.5) = $146.45.

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The explanation regarding the vector is illustrated below.

It should be noted that vector A with components a, b, c, can be written as (a, b, c) or in terms of unit vectors as ai + bj + ck.

In this case, the letters I, j, and k are the standard symbols for the unit vectors in the x, y, and z directions.

Therefore, if A = (3,4,5( you can write A = 3i + 4j + 5k.

If B = (1, 1, 1), you can write B = I + j + k.

Then A - B is the vector whose component are the difference in each components.

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The correct standard form of the equation of the parabola is:

[tex](x+3)^{2}[/tex]= 4(y - 3).

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively. It's also crucial to remember that the fixed point is not located on the fixed line. A parabola is a locus of any point that is equally distant from a given point (focus) and a certain line (directrix). An essential curve of the coordinate geometry's conic sections is the parabola.

For the given question,

Vertex of parabola is (-3,3)

Thus, the equation of the parabola is:

[tex](x-h)^{2}=4(y-k)[/tex]

[tex](x+3)^{2}[/tex]= 4(y-3)

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The volume of the given composite solid is 375 m³

From the question, we are to determine the volume of the composite solid

The volume of the composite solid = Volume of the cuboid + Volume of the triangular prism

Thus,

Volume of the composite solid = (5 × 5 × 13) + 1/2(5 × 4 × 5)

Volume of the composite solid = 325 + 50

Volume of the composite solid = 375 m³

Hence, the volume of the given composite solid is 375 m³

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Answer:

What exactly is the question

Step-by-step explanation:

There's no clear question.

His present age is 13 years.

The words problem can be solved as follows:

let

his present age = x

Therefore,

3(x + 5) = 54

Hence,

3(x + 5) = 54

3x + 15 = 54

subtract 15 from both sides

3x + 15 - 15 = 54 - 15

3x = 39

divide both sides by 3

3x / 3 = 39 / 3

x = 13

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The skydiver is falling at a speed of 212 miles per hour.

The speed of the skydiver is 212 mph.

What are Speed and Velocity?

Velocity is the pace and direction of an object's movement, whereas speed is the time rate at which an object is travelling along a path. In other words, whereas velocity is a vector, speed is a scalar quantity.

Given:

If a skydiver jumps out of a plane and plummets to the ground while falling at 212 mph.

To Find:

Speed and acceleration of the skydiver.

Velocity is the speed with a direction, whereas speed is only a number with a speed unit at the end.

While velocity refers to the speed and direction of an object's movement, speed refers to the time rate at which an object moves along a path.

212 miles per hour is the descending velocity of the skydiver.

At 212 miles per hour, the skydiver is moving.

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The total cost to fill Kenny's entire attic given the cost per cubic yards is $904.50; option A

[tex]V = 1/4h \sqrt{ { - a}^{4} + 2 {ab}^{2} } + 2 {ac}^{2} - {b}^{4} + 2 {bc}^{2} - {c}^{4} [/tex]

= 1/4×9 √-4⁴ + 2(4×5)² + 2(4×3)² - 5⁴ + 2(5×3)² - 3⁴

= 9/4√256 + 2(20)² + 2(12)² - 3125 + 2(15)²- 81

= 9/4√256 + 2(400) + 3(144) - 3125 + 2(225) - 81

= 9/4√256 + 800 + 432 - 3125 + 450 - 81

= 9/4√-1268

= 54 cubic yard

Total cost to fill Kenny's entire attic = 54 × $16.75

= $904.50

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(C) 3,920 people would likely donate.

What is the percentage?

To find about how many people would likely donate:

First, find 80 is what percent of 200.

∴  [tex]\frac{80}{200} * 100 = 40%[/tex]

So, 80 is 40% of 200.

Centreville population is 9,800.

Now, take out 40% of 9,800.

[tex]\frac{x}{9,800} *100 = 40\\\frac{x}{98} =40\\98*40 = 3,920[/tex]

Therefore, (C) 3,920 people would likely donate.

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The statements that are true about the angle include:

x > y

w = y

y < v

From the information, the first has legs 529m and 229m. Then tan x = 529/229. Also tan y = 529/347.

It can be seen that tan x is greater than tan y. Angles x, v, y, and w are alternate angles. Therefore, the correct options are A, C, avd D.

A weather balloon is 529 meters above the ground. Two weather stations, A and B, monitor the balloon’s progress. Compare the measures of the different angles of elevation and depression that are labeled in the diagram. Which statements are true

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The ending pressure group after the second dive is R.

According to the statement

We have given that the

The first dive is on a reef in 22 metres of water for 20 minutes and The second dive is on a wreck in 16 metres of water, with a planned bottom time of 30 minutes.

And we have to find the pressure group after second dive.

So, For this purpose, we know that the

Recreational scuba diving (R) – this diving has prescribed limits, including a depth no greater than 130 fsw, using only compressed air, and never requiring a decompression stop.

From the above situation, we could note that there was a prescribed limit 18m/60ft of water with a bottom time of 30 minutes.

And due to its the ending pressure becomes R.

So, The ending pressure group after the second dive is R.

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[tex]db {}^{2} - ab {}^{2} = ab {}^{2} - ae {}^{2} \\ db {}^{2} = 2ab {}^{2} - ae {}^{2} \\ (ac + bc) {}^{2} = 2ab {}^{2} - ae {}^{2} \\ ac {}^{2} + bc {}^{2} + 2ac.bc = 2ab {}^{2} - ae {}^{2} \\ 2ac.bc = ab {}^{2} - ae {}^{2} [/tex]

[tex]2ac.bc = ab {}^{2} - (ac {}^{} - ce) {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} + 2ac.ce - ce {}^{2} \\ 2ac.bc = ab {}^{2} - ac {}^{2} - cb {}^{2} + 2ac.ce \\ but \: ab {}^{2} - ac {}^{2} - cb {}^{2} = 0 \\ 2ac.bc = 2ac.ce \\ bc = ce \\ which \: is \: true[/tex]

Answer:

70

Step-by-step explanation:

GCF(x,y)*LCM(x,y)=xy

10*280=40n

2800=40n

70=n

n=70

Answer:we smoking fredoooooooooo

The final step in solving the inequality is to divide through by -2 and flip the sign

From the question, we are to determine the final step in solving the inequality

The given inequality and the steps for solving are

Step 1: –10 + 8x < 6x – 4

Step 2: –10 < –2x – 4

Step 3: –6 < –2x

The final step will be to divide both sides of the inequalities by -2 and then flip the sign

That is,

–6 < –2x

Divide both sides by -2 and flip the sign

3 > x

OR

x < 3

Hence, the final step in solving the inequality is to divide through by -2 and flip the sign

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The probability that it willtake less than 34 minutes to complete the test is 0.1056

Given mean of 44 minutes and standard deviation of 8 minutes.

We have to find the probability that it will take less than 34 minutes to complete the test.

The probability lies between 0 and 1. The formula to calculate probability is number of items divided by total items but it can also be found through z test calculations.

We are using z test to find the probability.

Z=X-μ/σ

Where μ is sample mean and

σ= standard deviation

Z is z value

First we will find the p value from 34 to 44.

Z=34-44/8

=-10/8

=-1.25

P value for X<34=P(Z<-1.25)

=0.5-0.3944

=0.1056.

Hence the probability that it will take less than 34 minutes is 0.1056.

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Answer: 22

Step-by-step explanation:

Answer:

[tex]y=0.5x-10.5[/tex]

Step-by-step explanation:

Parallel lines have the same slope, so the slope of the line we need to find is 0.5.

Substituting into point-slope form and converting to slope-intercept form,

[tex]y+6=0.5(x-9) \\ \\ y+6=0.5x-4.5 \\ \\ y=0.5x-10.5[/tex]

The price per ounce of the 14 Oz bag of flour is; ¢21.1.

Since it follows from the task content that the 14 Oz bag of flour sells for $2.95 which is equivalent to ¢295 since $1 = ¢100.

It follows that the price per ounce of the 14oz bag of flour is; = ¢295/14 = ¢21.1

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Answer:

It's the correct answer

PLEASE MARK AS BRAINLIEST

Step-by-step explanation:

Equivalent fractions of 2/3 : 4/6 , 6/9 , 8/12 , 

THX

Don't forget to mark me as brainliest

Answer:

B.(x-y)(x+y)

Step-by-step explanation:

The factor of x² - y² can be represented by,

A.(x - y)²

INCORRECT:

Translated to (x - y)(x - y) as the exponent says it multiplied by it self

(x - y)(x - y) = x²- 2xy + y² which doesn't match

B.(x-y)(x+y)

Correct!

x times x =  x²

-y times y = -y²

x² - y²

C.(x+y)(x+y)

INCORRECT

x times x =  x²

y times y = y²

x² + y² which doesn't match as y positive here

D.2(x - y)

INCORRECT

distribute 2 so 2x - 2y which isn't the original

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Based on the railway timetable given, the time the first train reaches Oakengates is 0815.

The time taken to reach Shrewsbury from Telford Central is 22 minutes.

Oakengates is 2 minutes away from Telford Central so when a train leaves the latter and arrives at 0815, this is the first train to Oakengates.

If one left Telford Central at 0852, they would reach Shrewsbury at 0914 to make it:

= 0914 - 0852

= 22 minutes

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Using the normal distribution, the probability that the sample proportion will be less than 0.1768 is of 0.9222 = 92.22%.

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

For this problem, the proportion and the sample size are given by:

p = 0.12, n = 66.

Hence the mean and the standard error are:

The probability that the sample proportion will be less than 0.1768 is the p-value of Z when X = 0.1768, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{0.1768 - 0.12}{0.04}[/tex]

Z = 1.42

Z = 1.42 has a p-value of 0.9222.

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Answer:

1161 confirmed cases

Step-by-step explanation:

In 2000 the number of cases was 86

Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.

So, we must multiply 13.5 and 86 to get the amount of cases in 2019.

13.5*86 = 1161 confirmed cases in 2019

A. The coordinates of the midpoint of CD in terms of p and q is [(4 + p) / 2 , (5 + q) / 2]

B. The coordinates of D, Given that the midpoint of CD is (7, 1) is (10 , -3)

Mid point = (X , Y)

X = (x₁ + x₂) / 2

X = (4 + p) / 2

Y = (y₁ + y₂) / 2

Y = (5 + q) / 2

Thus,

Mid point = (X , Y)

Mid point = [(4 + p) / 2 , (5 + q) / 2]

Mid point = (7, 1) = (X , Y)

X = (4 + p) / 2

7 = (4 + p) / 2

Cross multiply

7 × 2 = 4 + p

14 = 4 + p

Collect like terms

p = 14 - 4

p = 10

Y = (5 + q) / 2

1 = (5 + q) / 2

Cross multiply

1 × 2 = 5 + q

2 = 5 + q

Collect like terms

q = 2 - 5

q = -3

Coordinates of D = (p, q)

Coordinates of D = (10 , -3)

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Y= 75.

Lets try to solve it,

When positive integer x is divided by positive integer y, the remainder is 9

=> x=qy+9;

=> x/y=96.12

=>x=96y+0.12y (so q above equals to 96);

=>0.12y=9

=> y=75.

Hence the value of y would be 75.

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Because It is quicker and fast.

Sampling:

Sampling is a process used in statistical analysis in which a predetermined number of observations are taken from a larger population. The methodology used to sample from a larger population depends on the type of analysis being performed, but it may include simple random sampling or systematic sampling.

Sampling is the selection of a subset of the population of interest in a research study. In the vast majority of research endeavors, the participation of an entire population of interest is not possible, so a smaller group is relied upon for data collection.

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Answer: No, they are not similar

Step-by-step explanation:

       Similar triangles are triangles with congruent angles.

                   33° ≠ 32°

       These triangles are not similar.

The equation that represent this situation is as follows:

1031 = 231 + 200d

It cost $1031 for a camping trip.

You have to pay $231 to park for the entire trip and $200 per day for the

camping site.

Therefore,

let

d = days on the camping site.

Therefore, the equation that represent this situation is as follows:

1031 = 231 + 200d

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