Helppp it’s due tomorrow
……..

Helppp Its Due Tomorrow ..

Answers

Answer 1

By using a trigonometric relation we will see that FD = 32, the correct option is C.

How to find the length FD?

We can see a right triangle, such that FD is the hypotenuse.

We also know one angle of this triangle, and the adjacent cathetus to that angle.

Now remember the relation:

cos(a) = (adjacent cathetus)/(hypotenuse)

Replacing the values we know we get:

cos(30°) = 28/hypotenuse

Solving the equation for the hypotenuse we get:

hypotenuse = 28/cos(30°) = 32.3

Rounding to the next whole number we get FD = 32

The correct option is C.

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Related Questions

Jaxon bought 10 2/3 pound of apples at the farmer’s Market. If the apples cost $1.80 per pound,how much did jaxon pay for the apples , in dollars and cents

Answers

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

Given,

The quantity of apple bought by Jaxon = 10 2/3 pounds

The cost of one pound of apple = $1.80

We have to find the total amount Jaxon should paid for the apples, in dollars and cents;

Here,

Total amount Jaxon should paid = Quantity of apple bought by Jaxon × Cost of one pound of apple

Total amount Jaxon should paid = 10 2/3 × 1.80

Total amount Jaxon should paid = 12 dollars

1 dollar is equal to 100 cents

Then,

12 dollars = 12 x 100 = 1200 cents.

Therefore,

The total amount Jaxon should paid for the apples is 12 dollars which is 1200 cents.

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-5ax6(2ax4 + 7x2)

what might be the answer to this?? (pleasee!! it’s for my semester final.)

Answers

The solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given expression is -5ax⁶(2ax⁴ + 7x²). The solution of the expression will be done as,

E =  -5ax⁶(2ax⁴ + 7x²)

E = -10a²x¹⁰-35ax⁸.

Therefore, the solution of the given expression -5ax⁶(2ax⁴ + 7x²) is equal to -10a²x¹⁰-35ax⁸.

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A plant manufactures parts whose links are normally distributed with a mean of 16.3 cm and a standard deviation of 2.5 cm if one part is randomly selected find the probability that the part is between 10.8 and 12.8 cm

Answers

The probability that the part is between 10.8 and 12.8 cm is 0.0669.

What is a normal distribution?

Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is symmetric around the mean.

Here, we have

Mean = 16.3cm

Standard deviation = 2.5cm

We have to find the probability that the part is between 10.8 and 12.8 cm

Now,

we know that z = (x−μ)/σ

putting values in the normal distribution formula, we get

P( 10.8 < x < 12.8) = P( (10.8 - 16.3)/2.5 < z < (12.8 - 16.3)/2.5)

                            = P ( -2.2 < z < -1.4)

P( 10.8 < x < 12.8) = 0.0669, by normal distribution table

Hence, the probability that the part is between 10.8 and 12.8 cm is 0.0669.

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The monthly output at the Olek Carpet Mill is
Q(x) = 15,000 + 2x2 units, (40 ≤ x ≤ 60)
where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).
Q'(46) =

Answers

The instantaneous rate of change of monthly output with respect to the number of workers is equal to 184.

What is the instantaneous rate of change?

The instantaneous rate of change can be defined as a type of function that describes the average rate at which a quantity increases or decreases with respect to another quantity at a particular instant.

In Mathematics, the instantaneous rate of change can be calculated by taking the derivate of the function with respect to an independent variable. This ultimately implies that, the instantaneous rate of change is equivalent to the change in the derivative value at a particular instant.

Taking the derivate of the given function, we have:

Q(x) = 15,000 + 2x²

Q'(x) = d/dx(15,000) + d/dx(2x²)

Q'(x) = 0 + 2x(2)

Q'(x) = 4x.

At x = 46, we have:

Q'(x) = 4(46)

Q'(x) = 184.

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Complete Question:

The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x² units, (40 ≤ x ≤ 60), where x is the number of workers employed at the mill. If there are currently 46 workers, find the instantaneous rate of change of monthly output with respect to the number of workers. That is, find Q'(46).

Q'(46) =

The seating capacity y for a banquet hall is represented by y = 8x + 56,
where x is the number of extra tables you need. How many extra tables
do you need to double the original seating capacity?

Answers

The number of extra tables that you need to double the original seating capacity will be 7.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The seating capacity y for a banquet hall is represented by y = 8x + 56, where x is the number of extra tables you need.

If the no extra table is there. Then the value of 'y' will be

y = 8 (0) + 56

y = 56

Then the number of extra tables do you need to double the original seating capacity will be

8x + 56 = 2 × 56

8x = 56

x = 7

Then the number of extra tables that you need to double the original seating capacity will be 7.

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4. A Bag of marbles has 4 yellow, 5 red, and 1 purple. Create a situation that would satisfy the following:
a) Something that is IMPOSSIBLE to
happen.
b) Something that is EQUALLY
LIKELY to happen.
c) Something that is LIKELY to
happen.

Answers

According to the solving Probability the value are as follows.

a) P(Blue)= 0/10

b) P(Red)= 5/10

c) P(Red or Yellow)= 9/10

What is probability?

The definition of probability is "How likely something is to happen."

Probability is indeed a number ranging from 0 to 1 that expresses the likelihood that an event will take place as specified.

First, 0 P(E) 1 (where P(E) specifies the probability of an event E) and second, the sum of the probabilities of any collection of mutually and exclusive exhaustive occurrences equals 1 are the two characteristics that define a probability.

According to the given data:

We have a Bag of marbles has 4 yellow, 5 red, and 1 purple.

Total balls in a bag= 4+5+1=10 balls.

Something that is IMPOSSIBLE to happen.

P(Blue)= 0/10

Something that is EQUALLY LIKELY to happen.

P(Red)= 5/10

Something that is LIKELY to happen.

P(Red or Yellow)= 9/10

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My sister has three Maltese puppies. Scout weighs 8 1/3 pounds, Kenadi weighs 3 1/8 pounds, and Major weighs 8 1/5 pounds. What is the order of the puppy’s weights from least to greatest?

A.8 1/3,8 1/5 3 1/8
B.8 1/3,3 1/8, 8 1/5
C.3 1/8,8 1/3,8 1/5
D.3 1/8, 8 1/5,8 1/3

Answers

Answer: D because 8 1/5 is smaller than 8 1/3

A poll asked adults in a certain country whether immigration was a good thing or a bad thing for the country. Out of 1,095 ​respondents, 631 said it was a good thing.
c. Find a​ 95% confidence interval for the proportion who believe immigration is a good thing.

Answers

A 95% confidence interval for the proportion who believe immigration is a good thing is; CI = (0.4173, 0.7173)

What is the Confidence Interval of Proportions?

The formula for the confidence interval of proportions is;

CI = p ± z√(p(1 - p)/n)

where;

p is sample proportion

z is z-score at confidence level

n is sample size

We are given;

Number of success; x = 631

Sample size; n = 1095

Thus;

sample proportion; p = x/n = 631/1095 = 0.5763

The z-score at 95% confidence level is 1.96. Thus;

CI = 0.5673 ± 1.96√(0.5673(1 - 0.5673)/1095)

CI = 0.5673 ± 0.015

CI = (0.5673 - 0.15), (0.5673 + 0.15)

CI = (0.4173, 0.7173)

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Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain. How many points does Tyger score?

Answers

The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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The number of points scored by Tyger will be 132 points.

What is the number of points?

From the information, Captain scores 120 points on Space Invaders. Tyger scores 10% more points than Captain.

Therefore, the number of points scored by Tyger will be:

= Points scored by Captain + (Percentage × Captain point)

= 120 + (10% × 120)

= 120 + 12

= 132

Tyger scored 132 points.

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Similarity between concurrent and point of concurrency

Answers

Concurrent lines meet at the point of concurrency.

Apply Laws of Exponents to write an equivalent expression for the given expression

Answers

Step-by-step explanation:

e⁰ = 1

so, we have

(f² / (f³gh⁶))⁸ = f¹⁶ / (f²⁴g⁸h⁴⁸) = 1 / (f⁸g⁸h⁴⁸)

FYI - depending on what your teacher wants to see as simplified answer, it could be also

1 / (fgh⁶)⁸

or

(1 / (fgh⁶))⁸

but normally it should be the first result form above

1 / (f⁸g⁸h⁴⁸)

How do I solve this question ​

Answers

The partial fraction form of the given fraction [x+5/(x-7)(x-5)] is

[A/(x-7)+B/(x-5)].

What is decomposition to partial fractions?For a rational fraction to be partially decomposed or expanded in algebra, the fraction must be expressed as the product of a polynomial and one or more fractions with a simpler denominator.Partial fraction decomposition is the process of taking a rational expression and breaking it down into smaller rational expressions that we can combine or divide to recover the original rational expression.

So, the fraction is:

x+5/(x-7)(x-5)

We know that:

px + q/(x-a)(x-b), a≠b ⇒ A/(x-a) + B/(x-b)

Use the same identity to get the partial fraction of the given fraction as follows:

x+5/(x-7)(x-5)A/(x-7) + B/(x-5)

Therefore, the partial fraction form of the given fraction [x+5/(x-7)(x-5)] is [A/(x-7) + B/(x-5)].

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hamilton elementary had 1264 students in 2017. in 2018 the numbers of students increased to 1592 students what was the percent increase rounded to the nearest hundredth

Answers

Answer: 25.949%

Step-by-step explanation:

Solve the following using the elimination or substitution method. Show all work.
Jim has 65 coins in his pocket. All of the coins are nickels and dimes. If the total value of his coins is $5.10, how many nickels or dimes does he have?

Answers

Step-by-step explanation:

Jim has 65 coins in his pocket. All of the coins are nickels and dimes. If the total value of his coins is $5.10, how many nickels or dimes does he have?

nickels = n

dimes = d

We use:

d + n = 65

0.10d + 0.05n = 5.10

solve for d:

d + n = 65

d + n - n = 65 - n

d = 65 - n

substitute in for the second equation: d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n= -1.4

n = 28

so there are 28 nickels

Now, solve for d: when n = 28

d + n = 65

d + 28 = 65

d = 37

so there are 37 dimes

Jim has 28 nickels and 37 dimes in his pocket. which is determined by the substitution method.

What is the equation?

The term "equation" refers to mathematical statements that have at least two terms with variables or integers that are equal.

Let the number of nickels would be n

Let the number of dimes would be d

As per the given question,

d + n = 65  ....(i)

0.10d + 0.05n = 5.10  ....(ii)

From equation (i),

d + n = 65

d + n - n = 65 - n

d = 65 - n

Substitute in for the equation(ii): d = 65 - n

0.10(65 - n) + 0.05n = 5.10

6.5 - 0.10n + 0.05n = 5.10

6.5 - 0.05n = 5.10

6.5 - 0.05n - 6.5 = 5.10 - 6.5

- 0.05n = -1.4

n = 28

This means there are 28 nickels

Substitute the value of n = 28 in the equation (i),

d + n = 65

d + 28 = 65

d = 37

So there are 37 dimes

Thus, Jim has 28 nickels and 37 dimes in his pocket.

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Given triangle ABC with vertices A(16,0), B(9,2) and C(5,-12). Which side of triangle ABC represents the altitude of the triangle with a slope of -2/7?
Side AB
side BC
side AC

Answers

Answer:

so now i think you can find the slope of the sides.the product of slopes of two perpendicular lines is - so now you can also find the slopes of the altitude. i will do one side for you and you do the remaining the slope of side BC is (2-0)/(9-0) = 2/9 so the slope of the altitude passing through A will be -9/2

Step-by-step explanation:

so i think it would be side AC

Answer:

Side BC

Step-by-step explanation:

Let's calculate the slopes of the sides of triangle ABC:

Slope of side AB = (2 - 0) / (9 - 16) = 2 / (-7) = -2/7

Slope of side BC = (0 - 2) / (2 - 9) = -2 / (-7) = 2/7

Slope of side CA = (0 - 0) / (2 - 16) = 0 / (-14) = 0

Among the three sides, only side BC has a slope of 2/7, which is the negative reciprocal of the given slope of -2/7.

Therefore, side BC represents the altitude of triangle ABC with a slope of -2/7.

Draw and label a set of axes on your graph paper. Plot and label the following points: (1,3) , (4,2) , (0,5) , and (5,1).

Answers

We have to label a graph with the following points: (1,3), (4,2), (0,5), and (5,1).

How to know if a point lies in the graph of a function?

All the points (and only those points) which lie on the graph of the function satisfy its equation. Thus, if a point is on te graph of a function, then it must also satisfy the function.

To plot the graph with the points follow all the steps given below;

Points are (1,3) , (4,2) , (0,5),and (5,1).

Step1 The coordinate of the graph are; (1,3) , (4,2) , (0,5),and (5,1).

Step2 Plot the coordinate 1 on the x-axis and 3 on the y-axis.

Step3 Plot coordinate 4 on the x-axis and 2 on the y-axis.

Step4  Plot the coordinate 0 on the x-axis and 5 on the y-axis.

Step5 Plot the coordinate 5 on the x-axis and 1 on the y-axis.

Step6 Then Draw a line with the help of the scale and meet all the points.

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Calculate the standard score (z-score) of the given sample mean. Round your answer to two decimal places.

μ=31 and σ=9; n=64; x¯=30

Answers

The standard score (z-score) of the given sample mean is equal to 7.11

What is a standard score?

A standard score is also referred to as a z-value or z-score and it can be defined as a measure of the distance between a raw score and the mean, when standard deviation units are used.

Mathematically, the standard score of a given sample mean can be calculated by using this formula:

[tex]Z=\frac{\bar{x}\;-\;\mu}{ \frac{\delta}{n} }[/tex]

Where:

Where:

x represents the sample score.u represents the mean point.z represents the standard score.σ represents the standard deviation.n represents the number of samples.

Substituting the given parameters into the formula, we have;

Standard score, z = (30 - 31)/(9/64)

Standard score, z = -1/0.140625

Standard score, z = 7.11

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Find the x- and y-intercepts of the graph of 3x−8y=39. State each answer as an integer or an improper fraction in simplest form.

Answers

The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

Given that,

The equation is 3x-8y=39.

We have to find the x- intercept and y- intercept of the equation.

We know that,

x/a + y/b = 1 is the intercept form of the line's equation. One of the key types of line equations is this one. In this equation, the sign of the intercepts also enables us to determine where the line is in relation to the coordinate axes.

To find the x- intercept of the equation.

We have to take y as 0.

3x-8(0)=39

3x=39

x=39/3

x=13

To find the y- intercept of the equation.

We have to take x as 0.

3(0)-8y=39

-8y=39

x=-39/8

Therefore, The x- intercept of the equation is (13,0) and y-intercept of the equation is (0,-39/8) when the equation is 3x-8y=39.

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A submarine was 400 meters below sea level it then moved to 583 meters below sea level. How many meters did the submarine descend? how did you get the answer?

Answers

Answer:

Step-by-step explanation:

You subtract 583 from 400 (400-583)

Then you get 183

Zoe wants to buy 6 tins of beans for the cheapest possible price. Shop A and Shop B both have a special offer. Shop A 5% off the normal price of 48p each Shop B 65p each Buy 2 get 1 free Which shop should Zoe buy the beans from? You must show how you get your answer.​

Answers

The answer is shop A

Which is the correct answer ????

Answers

Problem
Solve the system of equations by substitution.
y = 5x - 11
10x - 2y = 18
Solution
Solve for the first variable in one of the equations, then substitute the result into the other equation.
No solution

please help!!!! 50 points

The number of words per sentence in a certain book is normally distributed with a mean of 21 words and a standard deviation of 4 words.

Approximately what percent of sentences in the book are less than 13 words in length?

A. 2.5%
B. 5%
C. 47.5%
D. 87.5%

Answers

The answer will be:

B: 5 percent/ 5%

13 words in length will be 5%

Hope this helped

:)

The answer would be - B : 5%

Use the given information to find the number of degrees of​ freedom, the critical values χ2L and χ2R​, and the confidence interval estimate of σ. It is reasonable to assume that a simple random sample has been selected from a population with a normal distribution.
Nicotine in menthol cigarettes 95​% ​confidence; n=23​, s=0.25 mg.

Answers

The critical values of the chi statistic are; χ²R = 8.643 and χ²L = 42.796

The confidence interval estimate of σ is; 0.20 < σ < 0.45

How to find the critical value of Chi - Statistics?

We are given the following data;

Sample size; n = 23

Degree of freedom; df = n - 1 = 23 - 1 = 22

Confidence level; α - level = 99%

Sample standard deviation; s = 0.25 mg

For χ²R;

The significance level is; 1 - (1 - 0.99)/2= 0.995

The degree of freedom is; df = 22

From critical value tables, we know that; χ²R = 8.643

For χ²L ;

The significance level is; (1 - 0.99)/2 = 0.005

The degree of freedom is; df = 22

From critical value tables, we know that; χ²L = 42.796

The confidence interval estimate of σ is;

s * √[(n-1)/χ²L] < σ < s * √[(n-1)/χ²R)]

Plugging in the relevant values gives;

0.28 * √(22/42.796) < σ < 0.28 * √(22/8.643)

0.2008 < σ < 0.4467

0.20 < σ < 0.45

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Previ
Question 3 Multiple Choice Worth 2 points)
(Pythagorean Theorem and the Coordinate Plane MC)
Determine the length of the line segment shown
-8 -7 -6
O 100 units
025 units
O 10 units
4
08 units
31
2
1
--5433/-2 -10
-1
O
N ?
&
2
3
4
D
5
x↑

Answers

The length of the line segment with endpoints at (0, 3) and  (-6, -5) is 10 units

What is an equation?

An equation shows the relationship between two or more numbers and variables.

The distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane is:

[tex]AB=\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

The line segment have endpoints at (0, 3) and  (-6, -5). Hence:

Length = √[(-5-3)² + (-6 - 0)²] = √(8² + 6²) = √100 = 10

The length of the line segment is 10 units

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Differentiate the function with respect to x.

Answers

Answer:

[tex]16x {}^{3} + 1[/tex]

Step-by-step explanation:

We need to differentiate the following function,

[tex]\longrightarrow f(x) = 4x^4 + x [/tex]

Let ,

[tex]\longrightarrow y = f(x) [/tex]

So that ,

[tex]\longrightarrow y = 4x^4+x [/tex]

Differentiating both sides wrt x ,

[tex]\longrightarrow \dfrac{dy}{dx}= \dfrac{d(4x^4+x)}{dx}\\[/tex]

[tex]\longrightarrow\dfrac{dy}{dx}= \dfrac{d(4x^4)}{dx}+\dfrac{dx}{dx}\\ [/tex]

[tex]\longrightarrow \dfrac{dy}{dx} = 4(4)x^{4-1} + 1 \\ [/tex]

[tex]\longrightarrow \underline{\underline{ \dfrac{dy}{dx}= 16x^3 +1}}[/tex]

Natalie has a budget of $15,000 dollars to spend on tracking devices to study bison. A radio tracker costs $650 and a GPS tracker costs $1400. Natalie wants to buy at least 9 radio trackers and more than 3 GPS trackers. The following system of inequalities represents this situation, where x is the number of radio trackers and y is the number of GPS trackers. x ≥ 9 y > 3 650x + 1400y ≤ 15000

Answers

The inequality as per the question is x ≥ 9 and y > 3 and the diagram according to this is attached below.

What is an equality?

Inequalities are mathematical expressions where neither side is equal. In inequality, as opposed to equations, we compare the two values. Less than (or less than and equal to), larger than (or greater or equal to), or not similar to signs are used in place of the equal sign in between.

As per the given information in the question.,

x ≥ 9 and,

y > 3

The equation is,

650 x + 1400 y ≤ 1

[tex]\frac{x/15000}{650}+\frac{y/15000}{1400} \leq 1[/tex]

x/23.07 + y/10.71 ≤ 1

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Shown below is a "magic square"
Each column, row and diagonal has the same total.
Work out the missing fractions.
- 15
10
9
20
1
3
20
10

Answers

Answer:

123 423 21 34

Step-by-step explanation:

work out the size of angle x 24

Answers

Answer:

  78°

Step-by-step explanation:

You want the measure of base angle x in an isosceles triangle with a.pex angle 24°.

Base angle

The two base angles of an isosceles triangle are congruent. The sum of all angles is 180°, so we have ...

  24° +2x = 180°

  12° +x = 90° . . . . . . divide by 2

  x = 78° . . . . . . . subtract 12°

The measure of angle x is 78°.

You are walking from home to a clothing store. You stop for a rest after 1/2 miles. The clothing store is actually 3/5 miles from home. How much farther do you have to walk?​

Answers

Answer:

2/3 u need to walk to reach the clothing shop

Which graph represents the solution set of - 4x - y ≤ - 6?

Answers

Answer:

Step-by-step explanation:

Which graph represents the solution set of - 4x - y ≤ - 6?

Other Questions
what customer-service objectives are reasonable for this business? case study consolidated electric: inventory control 30 POINTS AND WILL GIVE BRAINLIESTThe credit remaining on a phone card (in dollars) is a linear function of the total calling time made with the card (in minutes). The remaining credit after 41 minutes of calls is $19.26, and the remaining credit after 57 minutes of calls is $17.02. What is the remaining credit after 71 minutes of calls?I really need help with the steps for this, thank you!! what text is most likely written for audience that enjoys reading humorus articles A. the bill of rights How does ritual and utility provide a "cultural niche" for art? 1. What might be meant by the title, The Awakening? (Kate Chopin) What is the difference between plot and theme? Theme is less important than plot. Plot is what happens--theme is why it happens. Plot take a long time to explain--themes are easy. Plot is where the story happens--theme is what happens. a noble gas has a density of 1.78 g/l at stp. what is the identity of the gas? enter the elemental symbol of the gas. Explanation of the poem on liberty and slavery List two important rules about the judicial branch found in the Article III of the Constitution Huey lost 80 marbles. He was to find 45% of them. How many marbles did Huey find other factors being equal, which child is least likely to benefit from a language immersion program in the united states? along a river is to be fenced. suppose that no fence is needed along the river, the fence on the side opposite the river costs $40 per foot, and the fence on the other sides costs $10 per foot. if the field must contain 64,800 square feet, what dimensions will minimize costs? Serena just started working at the local salon. She is paid $9.85 per hour and earns, onaverage, $58.50 in tips each day. Roseline just started working at a bank. Since shedoes not receive tips, she earns $16.35 an hour. The system of equations{y=9.85x+58.50 y=16.35x can be used to represent the amount of money earned, y,each day for working x hours.Determine the number of hours Serena and Roseline have to work to earn the sameamount of money. in the substantive audit procedures for payroll where the control risk is set at low, an auditor most likely would: Please help me answer these Differentiate between the lysogenic and lytic cycles. (1 point)Viral proteins are synthesized during the lysogenic cycle.O The virus injects DNA into the host cell during the lysogenic cycle.O The host cell is destroyed during the lytic cycle.O The host cell copies its own DNA during the lytic cycle. A helicopter leaves A and flies 40 miles due east. Then the helicopter flies10 miles due south and arrives at B. Work out the bearing of B from A. Find the equation in slope intercept Do the measurements 15,17,22 make up a right triangle? Yes or no explain?? answer me fast In an industrial process, the diameter of a ball bearing is an important measurement. The buyer sets specifications for the diameter to be 3.0 0.01 cm. The implication is that no part falling outside these specifications will be accepted. It is known that in the process the diameter of a ball bearing has a normal distribution with mean = 3.0 and standard deviation = 0.005. On average, how many manufactured ball bearings will be scrapped?