Find the slope of the line with a y-intercept = 4, passing through the point (2,8)

Find The Slope Of The Line With A Y-intercept = 4, Passing Through The Point (2,8)

Answers

Answer 1

Answer: d. m = 2

Step-by-step explanation:

First, we will write a slope-intercept equation using the y-intercept given.

       y = mx + 4

Next, we will substitute the given point and solve for m, the slope.

       y = mx + 4

       (8) = m(2) + 4

       4 = 2m

       m = 2

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Find The Slope Of The Line With A Y-intercept = 4, Passing Through The Point (2,8)
Answer 2
Answer:

[tex]\boxed{\sf m=2}.[/tex]

Step-by-step explanation:

1. Identify the 2 given points.

In order to find the slope of any linear equation you need at least 2 points the line passes through. We're explicitly provided one, (2, 8), we just need to figure out the other one.

When the statement says that the line has a y-intercept of 4, it means that at a point with y=4 the function touches the y axis. The only way to touch the y-axis is if the x value is 0. Hence, another given point is (0, 4).

2. Calculate the slope.

Formula: [tex]\sf m=\dfrac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

Naming the variables (can be done arbitrarily but always make sure the y's are actual y values from the ordered pairs and that x₁ goes with its corresponding y₁ value from the ordered pair):

[tex]x_{1} =2;\\x_{2} =0;\\y_{1} =8;\\y_{2} =4.[/tex]

Now substituting these values in the formula:

[tex]\sf m=\dfrac{(4)-(8) }{(0) -(2) }=\dfrac{-4}{-2} =\boxed{\sf 2}.[/tex]

Check out the attached image to see the graphed line.

Find The Slope Of The Line With A Y-intercept = 4, Passing Through The Point (2,8)

Related Questions

Based on a survey of 1250 employees at a software company, the average number of hours spent in meetings per week is 4.3 with a margin of error of 1.1.

What is the range of values for the actual mean numbers of hours spent in meetings in a week? Enter your answer by filling in the blanks to correctly complete the statement.

The actual mean number of hours spent in meetings in a week is between______and______hours

Answers

Answer:

Step-by-step explanation:

The margin of error represents the range of values within which the true population mean is likely to fall with a certain level of confidence. To calculate the range of values for the actual mean number of hours spent in meetings in a week, we can use the formula:

(actual mean) = (sample mean) ± (margin of error)

Substituting the given values, we get:

(actual mean) = 4.3 ± 1.1

To find the range of values, we need to compute the upper and lower bounds of this interval:

Lower bound = 4.3 - 1.1 = 3.2 hours

Upper bound = 4.3 + 1.1 = 5.4 hours

Therefore, the actual mean number of hours spent in meetings in a week is between 3.2 and 5.4 hours.

HELP ASAP PLEASE 20 POINTS!!!!!

Answers

Answer:

5.6 mi

Step-by-step explanation:

1 km is around 0.6 (estimate) miles so just multiply both sides by 9 and 9km = around 5.4 miles and 5.6 is the closest so it is most likely that

MODELING REAL LIFE About 5.2% of a population
contracted the flu last year. A test used to diagnose the
flu was 92% accurate for people who had the flu and
85% accurate for people who did not have it. Find and
interpret the ratio of true positives to false positives.

Answers

The ratio of true positives to false positives, given the accuracy of the test would be 239 : 711 .

Here. we have,

First, find the number of people who have the flu:

= 5. 2 % x 10, 000

= 520 people

Those who don't have it:

= 10, 000 - 520

= 9, 480 people

True positive :

= 92 % x 520

= 478 people

False negatives:

= 8 % x 520

= 42 people

False positives:

= 15 % x 9, 480

= 1, 422 people

The ratio of true positives to false positives is therefore:

478 : 1, 422

239 : 711

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To the nearest ten dollars, what can Carlos expect the value of the computer to be 3 years after purchase

Answers

Carlos can expect the value of the computer to be $580 three years after purchase.

To model the value of the computer, we can use the formula:

y = abˣ

We know that the initial value of the computer is $1,350, so a = 1350.

We also know that one year after purchase, the value of the computer is $810, so we can use this to find the value of b:

810 = 1350b

b= 0.6

b = 0.6

So our exponential equation is:

y = 1350(0.6)ˣ

To find the value of the computer 3 years after purchase, we can substitute x = 3:

y = 1350(0.6)³

y = 583

Hence, Carlos can expect the value of the computer to be $580 three years after purchase.

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200 000+40 000+8 000+10+8 in standard form

Answers

Answer:

240 8018

Step-by-step explanation:

two hundred forty eight thousand and eighteen

200 000+40 000+8 000+10+8= 248018.

Standard form is represented in the format a x 10^b. a represents any number bigger than 1, but smaller than 9.9. B is what 10 is to the power of, it represents any whole number. It can also be negative.

Try and get a to a number bigger than 1, but smaller than 9.9. Then if you multiplied the new number by 10 to the power of something to get the old number, what would it be?

In standard form, it would be 2.48018 x 10^5 (so sorry if i’m wrong!!)

Ali had 3469 bags of maize each weighing 90 kg.Hesold 2654 of them. How many kg of maize was he left with?​

Answers

The number of kg of maize was left with Ali is 73350 Kg.

Given that, Ali had 3469 bags of maize each weighing 90 kg.

Ali sold 2654 of them.

Number of bags left = 3469-2654

= 815

Number of Kg's of maize left = 815×90

= 73350 Kg

Therefore, the number of kg of maize was left with Ali is 73350 Kg.

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A model rocket is launched with an initial upward velocity of 60 m/s the rocket's height h meters after t seconds h=60t-5t^2 find values for which rockets height is 30 meters

Answers

The model rocket will have a height of 30 meters at a time of 0.523 seconds and 11.477 seconds, respectively.

How to determine the time associated with the height of a rocket on air

In this problem we have the case of a model rocket being launched, the height of the rocket in time is described by the following quadratic equation:

h(t) = 60 · t - 5 · t²

Where:

h - Height, in meters.t - Time, in seconds.

We need to determine the time associated to a given height of 30 meters above the ground. If we know that h(t) = 30, then the times are, respectively:

30 = 60 · t - 5 · t²

6 = 12 · t - t²

t² - 12 · t + 6 = 0

(t - 11.477) · (t - 0.523) = 0

t = 11.477 s. or t = 0.523 s.

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18. Triangle GHJ has GH = 13, GJ = 15, and
m/G = 74. What is the area of the triangle?
SEE EXAMPLE 4

Answers

Answer: 97.5

Step-by-step explanation:

Just do base times height divided by 2, which I'm assuming is 13x15 , that'd be 195. 195 divided by 2 is 97.5

A side of an equilateral triangle is 20 cm long. What is the area of the triangle

Answers

Should be 60 cm long in total. All sides are equal and it’s a triangle, so 20+20+20. Hope this helps

At the gift shop, they sell small greeting cards and large greeting cards. The cost of a small greeting card is $1.80 and the cost of a large greeting card is $3.85. How much would it cost to get 4 small greeting cards and 3 large greeting cards? How much would it cost to get

x small greeting cards and

y large greeting cards?

Answers

Answer: 18.75

Step-by-step explanation:

small greeting cards = 1.80

large greeting cards = 3.85

1.80 x 4 = 7.20

3.85 x 3 = 11.55

7.20 + 11.55 = 18.75

A chef has 5 containers of rice. Each container has 2 cups of rice in it. If the chef uses cup of rice for a recipe, how many cups of rice do they have left?

Answers

Answer:10-x

Step-by-step explanation:5 containers 2 cups in each. 5 x 2= 10. we don't know how many cups of rice he uses for a recipe so we call it x. Then we subtract it from the 10 cups of rice.

Plot and connect the points in the order listed below. When you are done, find the area of the resulting figure.

A(-7,-2)A(−7,−2), B(-3,1)B(−3,1), C(-3,4)C(−3,4), D(5,4)D(5,4), E(5,-6)E(5,−6), F(-3,-6)F(−3,−6), G(-3, -2)G(−3,−2)

Answers

The total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6) has been found as  51 square units.

What is a Graph?

A graph is described as a mathematical representation of a network and it describes the relationship between lines and points.

The first step is to divide the figure is into two rectangles and a triangle.

we notice that the points B, C, E, and F will form a rectangle with base BC and height of 7 units.

We also notice that the  points A, D, and G form a rectangle with base AG and height 5 units.

we notice that  points C, D, and E form a triangle with base CE and height 4 units.

we notice that the  length of BC is 4 - 4 = 0, therefore  the area of the rectangle with base BC is 0.

The area of the rectangle with base AG is (4 - (-5)) x 5 = 45 square units. The area of the triangle with base CE is (4 - 1) x 4 / 2 = 6 square units.

In conclusion, the total area of the figure with points A(-5,4), B(4,4), C(4,1),  D(1,1), E(4,-3) F(4,-6), G(-5, -6)  is 45 + 6 = 51 square units.

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Find the volume of the composite solid. Round your answer to the nearest hundredth.

Answers

To the nearest hundredth, the volume of composite solid, giving us 904.600 cubic metres.

specify the solid volume?

How many areas of space are occupied by an object is determined by its volume. It is determined by counting how many unit cubes are required to completely fill the solid. Cubic units like cubic centimeters, cubic meters, cubic feet, etc. are used to measure the volume of solids.

For instance, the volume V of a rectangular prism with dimensions of l, w, and h can be calculated as follows:

V = l × w ×h

The composite solid has a length of 14 metres and a radius of 6 metres** and is made up of a cylinder and two hemispheres. The cylinder's volume plus twice the hemisphere's volume will add up to the entire volume.

Where r is the radius and h is the height, V = πr²h is the formula for a cylinder's volume3. Therefore, V = (6)²(14) = 504 cubic meters is the cylinder's volume.

V = (2/3)r³π where r is the radius gives the volume of a hemisphere. Therefore, V = 2(2/3)(6)³π = 2(2/3)216π = 904 cubic meters is the volume of two hemispheres.

We arrive at a total volume of 792 cubic meters by adding these volumes together.

To the nearest hundredth=904.600 cubic meters.

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PLEASE HELP

Construct the indicated confidence interval for the population mean u using the t-distribution. Assume the population is normally distributed.
C=0.90, x=13.7, s =3.0, n= 10

Answers

The 95% confidence interval using a t-distribution for the population mean μ using the t-distribution is  (9.7, 14.7).

Here, we have,

1. Identify the given information:

 - Confidence level (c) = 0.95

 - Sample mean (x) = 12.2

 - Sample standard deviation (s) = 3.0

 - Sample size (n) = 8

2. Determine the degrees of freedom (df) for the t-distribution:

 - df = n - 1 = 8 - 1 = 7

3. Find the t-value corresponding to the 0.95 confidence level and 7 degrees of freedom:

 - You can use a t-table or an online calculator for this.

 - The t-value for a 0.95 confidence level and 7 df is approximately 2.365.

4. Calculate the margin of error (ME) using the t-value, sample standard deviation (s), and sample size (n):

 - ME = t-value * (s / sqrt(n))

 - ME = 2.365 * (3.0 / sqrt(8)) ≈ 2.5

5. Construct the 95% confidence interval using the sample mean (x) and the margin of error (ME):

 - Lower limit: x - ME = 12.2 - 2.5 ≈ 9.7

 - Upper limit: x + ME = 12.2 + 2.5 ≈ 14.7

So, the 95% confidence interval for the population mean μ using the t-distribution is (9.7, 14.7).

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which fraction is the smallest? 3to4, 2/3, 10:12, 2to1

Answers

The smallest fraction is 8/12, which is equivalent to 2/3.

How to determine the smallest fraction

To compare fractions, it's best to convert them all to a common denominator.

3/4 is equivalent to 9/12

2/3 is equivalent to 8/12

10/12 is equivalent to 5/6

2/1 is equivalent to 24/12

So, the smallest fraction is 8/12, which is equivalent to 2/3.

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18. The volumes of two similar solids are 857.5 mm^3 and 540 mm^3. The surface area of the smaller solid is 108 mm^2. What is the surface area of the larger solid?

Answers

Answer:

64.14

Step-by-step explanation:

Reading the passage I see that you have to multiply then divide

The surface area of the larger solid is,  171.7 mm²

What is Proportional?

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The volumes of two similar solids are 857.5 mm³ and 540 mm³.

And, The surface area of the smaller solid is 108 mm².l

Now, Let us assume that;

The surface area of the larger solid is, x

Hence, We get;

857.5 / x = 540 / 108

Solve for x as;

857.5 x 108 = 540 x

92,718 = 540x

x = 171.7 mm²

Thus, The surface area of the larger solid is,  171.7 mm²

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Can someone please help me with this problem? I'm struggling and the assignment is already late :(

Answers

Bottom right because both are for ever 1x there is 0.5 y

what is 2x multiplied by 7 with the exponent of 4

Answers

The simplified expression of  2x multiplied by 7 with the exponent of 4 is 4,802x.

What is the simplification of the expression?

The expression is simplified by applying the rules of multiplication and exponent rules.

the expression = 2x(7⁴)

simplify 7⁴ as follows = 7 x 7 x 7 x 7 = 2,401

Multiply the resultant solution of 2,401 as follows;

= 2,401 x (2x)

= 4,802x

Thus, the simplified expression of  2x multiplied by 7 with the exponent of 4 is determined by applying basis rules of multiplication.

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Andy saved $32 in June, $27 in July, and $38 in August. Then Andy spent $18 on school supplies and $47 on new clothes. How much money does
Andy have left?

Answers

Andy has $32 money left after spending $18 on school supplies and $47 on new clothes.

To find out how much money Andy has left, we need to start with the total amount of money he saved and then subtract the amount he spent on school supplies and new clothes.

The total amount Andy saved is:

$32 + $27 + $38 = $97

The amount Andy spent is:

$18 + $47 = $65

To find out how much money Andy has left, we can subtract the amount he spent from the amount he saved:

$97 - $65 = $32

So, after spending $18 on school supplies and $47 on new clothes, Andy is left with $32.

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Bad gums may mean a bod mood. Researchers discovered that 85% of people who have suffered a bad mood had periodontal disease. Only 29% of healthy people have this disease. Suppose that in a certain community bad moods are rare, occuring with only 10% probability. If someone has periodontal disease, what is the probability that he or she will have bad mood?

Answers

Answer:

24.6%

Step-by-step explanation:

denote B: bad mood; H: healthy; D: periodontal disease

P(B|D)

=P(B,D) / P(D)

=P(B,D) / [P(D,B)+P(D,H)]          ### law of total probability ###

=P(D|B)P(B) / [P(D|B)P(B) + P(D|H)P(H)]

=(0.85)*(0.1)/[(0.85)*(0.1) + (0.29)*(0.9)]

=0.245664739

Suppose that the function is defined as follows.

Answers

Answer:

Step-by-step explanation:

One respondent said they watched 10 movies. This seems to be an
symmetrical



This graph is
skewed
to the
left
because the data is stacked on the left with a "tail" going to the right.



Most people watched
[ Select ]
movies

Answers

The graph seems to be a left symmetrical distribution and most people watched action movies

Calculating the skewness of the graph

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

The graph (see attachment)

From the graph, we have the following readings and observations

The movie with the highest frequency is Action moviesThe data is stacked on the right with a "tail" going to the left.

Using the above as a guide, we have the following conclusions

Most people watched action moviesThe graph is left skewed

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Using the following stem & leaf plot, find the five number summary and range for the data.
1 0 2
2 1 2 5 9 9
3
4 2 2 7 9
5 0 2 3 4 8 9
6 0 7

Answers

Note that the five number summary and range for the data are given as follows:

Minimum: 102First Quartile (Q1): 225Median (Q2): 329Third Quartile (Q3): 458Maximum: 607.

What is the explanation for the above response?

The five-number summary and range were calculated using the given stem and leaf plot. The minimum value is 102, the first quartile (Q1) is 226, the median (Q2) is 340, the third quartile (Q3) is 492, and the maximum value is 670. The range is the difference between the maximum and minimum values, which is 568.

The range is calculated by subtracting the minimum value from the maximum value:

Range: 607 - 102 = 505

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Find x. Simplify completely.
X
8
C
17
x = [?] √ [
Enter the number that belongs in the green box.
Enter

Answers

Answer:

17/x = x/8

x^2 = 136, so x = 2√34

All but 36 of the 120 state capitals have an interstate highway serving them. What percent of the capitals do not have interstates?

Answers

Therefore, 70% of state capitals do not have interstate highways serving them.

What is percent?

Percent is a way of expressing a number as a fraction of 100. The term "percent" means "per hundred". Percentages are usually denoted by the symbol %, which is placed after the numerical value. Percentages are used in many fields, including finance, science, and everyday life, to represent proportions, rates, and changes in quantities.

Here,

If all but 36 of the 120 state capitals have an interstate highway serving them, then the number of capitals that do not have interstates is 120 - 36 = 84.

To find the percentage of capitals that do not have interstates, we need to divide the number of capitals without interstates by the total number of capitals and then multiply by 100:

84 / 120 x 100% = 70%

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True or False Deductive reasoning is when someone uses lots of data to make a conjecture.

Answers

False.

Deductive reasoning is a logical process in which a conclusion is drawn from a set of premises, statements, or propositions, using facts, definitions, and rules. It involves starting with general principles or premises, and then deriving specific conclusions based on those premises.

Answer:



Step-by-step explanation:

Tickets of a program at college cost $3 for general admission or $2 with student ID. If 181 people paid to see a performance and $435 was collected, how many of each type of ticket were sold.

Answers

2 times 181 =363 435-363=71

Work out the value of fg^2 when:

f = -5 and g = -4

Answers

-5*-4=20

20^2 =400

ANSWER=400

Let f ( x ) = a x n − b x 2 + 14 c x m + d x 3 − 7 f(x)= cx m +dx 3 −7 ax n −bx 2 +14 ​ f, left parenthesis, x, right parenthesis, equals, start fraction, a, x, start superscript, n, end superscript, minus, b, x, squared, plus, 14, divided by, c, x, start superscript, m, end superscript, plus, d, x, cubed, minus, 7, end fraction, where m mm and n nn are integers and a aa, b bb, c cc and d dd are unknown constants. Which of the following is a possible graph of y = f ( x ) y=f(x)y, equals, f, left parenthesis, x, right parenthesis? Choose 1 answer:

Answers

The graph in option C is the one that best satisfies the function y = f ( x ) y=f(x)y, equals, f, left parenthesis, x, right parenthesis

How to solve

The ultimate exponent of the equation, [tex]x^n or x^m[/tex], is the key factor that determines the end behavior amid a graph.

If one between these values is odd, an opposite behavior can be seen along the opposite ends (for example, upward on one side yet downward on the other).

If both of these variables fit an even figure, the trend among their corresponding edges is identically portrayed (for instance, both lying upwards and downwards in succession).

The [tex]x^3[/tex] term, however, will sway the overall form between such high-powered terms.

Having this insight, you may confront your given answers to find the accurate outcome of y = f(x) with regard to its definitive flight path and curves.

Solving the given problem:

f ( x ) = [tex]\frac{ax^2 - bx^2 + 14}{cx^2 + dx^2 -7}[/tex]

At x= 0 on the y- axis

f(0) = [tex]\frac{0-0 + 14}{0 +0 - 7}[/tex]

Thus, only option C satisfies this condition.


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3.4 MIXED FACTORING

1. Utilize all of the strategies for factoring in order to factor the following polynomials.
Reminder: Combine like-terms prior to factoring.

-7n + 5n^2 + 6 - 3n^2 - 11n + 30

Answers

Answer:

2 (n - 3) (n - 6)

Step-by-step explanation:

[tex]-7n+5n^2+6-3n^2-11n+30[/tex]

Group like terms and combine...

[tex]2n^2-18n+36[/tex]

Observe that all terms contain a factor of 2.  Factor out a 2...

[tex]2(n^2-9n+18)[/tex]

The leading coefficient is 1.  The shortcut applies.  Find the factors of "c" (18)

18 = 1 * 1818 = 2 * 918 = 3 * 6

Of these factor pairs, -3 & -6 will multiply to make 18, and add to make -9 (the "b").

Finish factoring the trinomial into two binomials:

[tex]2(n-3)(n-6)[/tex]

To verify that this is a valid factoring, distribute, and recombine terms:

[tex]2(n-3)(n-6)[/tex]

[tex]2(n^2-3n-6n+18)[/tex]

[tex]2(n^2-9n+18)[/tex]

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Water flows from the bottom of a storage tank. After t minutes, the amount of water in the tank isR(t)=8000-250t + 2t liters, where 0 t 50. Find the amount of water (in liters) that flows from the tankbetween the 14 minute mark and the 34 minute mark. When shopping for life insurance, the best strategy is to: a. follow your agents recommendations. they are the experts and it is the agent's job to make sure you get the products that are right for you. b. buy your coverage through your employer, if possible. c. figure out how much you need, then comparison shop using the web and other resources. d. wait until you are older so that you can buy a cheaper, shorter term policy. please select the best answer from the choices provided a b c d The arable land area of a commune is about 81. 5 ha. This year's summer-autumn crop, this commune intends to use 57 of these areas to grow rice. Calculate the area of the commune's summer-autumn rice crop (use a handheld calculator and then round the result to the third decimal place) Help please!!!!Whoever answers right gets brainliest! freedom and security in a personal or professional setting How does the law of demand really work in market? Take example of any product and explain in detail, with the change in price how demand fluctuate in the market.Draw demand schedule and demand curve to justify your answer The table shows the number of different categories of books that Mrs. Hoover, the librarian, sold at the book fair on Thursday.If Mrs. Hoover sells 50 books at the book fair on Friday, which prediction for Friday is NOT supported by the data in the table?A The difference between the number of sports and trivia books sold and the number of arts and crafts books sold on Friday will be 12.B The number of non-fiction books sold on Friday will be two-and-a-half times the number of arts and crafts books sold on Friday.C The combined Friday sales for non-fiction books and novels will be 30 books.D The number of novels sold on Friday will be 10 times the number of non-fiction books sold on Friday. Help me to understand it When 10 moles HCl reacts with Ca(OH) 2 how many moles of H_{2}*O are made? If 9.82 g of pb(no3)4 are dissolved to make a 3.5 m solution, what is the volume (in ml.) of that solution? outline the negative impact of drought on the farmers of South Africa What mass of oxygen would be released by the thermal decomposition of 918.7 grams of Mercury (II) Oxide?HgO --> Hg + O2 Edna gasta la mitad de su salario en el pago de renta, utilidades ycomida. Si de esos gastos se va en renta, qu fraccin de su salariose va en renta? Halla su salario mensual considerando que su rentamensual es de $150. 0. Briefly describe how this poem can be categorized as a lyric poem. Cite evidence from the poem to support your answer 1. Which metal is the most reactive? How do you know this?2. Rank the metals in order of increasing reactivity.3. Give the chemical equations for each single replacement reaction that took place.4. Was Fe^3+ reduced? Of so what metal(s) acted as reducing agents? A basket contains 8 green apples, 11 red apples, 5 nectarines, and 12 oranges. Akhil takes a piece of fruit, eats it,then grabs another. What is the P(two oranges)? A municipal wastewater treatment plant employs two circular primary clarifiers arranged in parallel, following the bar screen and grit removal chamber. The plant receives 5. 0 MGD. Each clarifier is center-fed (water enters at the center and exits at the perimeter). The clarifier radius is 43. 0 ft, and depth is 10. 0 ft. (a) What is the detention time in each clarifier Randy is planning to drive from New Jersey to Florida. Every time Randy stopsfor gas, he records the distance he traveled in miles and the total number of gallonsLised. Assume that the number of miles driven is proportional to the number ofDallons consumed in order to complete the table. A 7. 15L balloon filled with gas is warmed from 256. 1K to 297. 1 K. What is the volume of the gas after it is heated? explan how the author develops the them ocer the course of the canoe breaker .