Factor each of the following. Find your answer below and notice the letter next to it. Write this letter in each box containing the number of that exercise. 1. X2 + 13x 12 2. X2 + 7x + 12 3. X2 + 7x + 6 4. X2+5x+6 5. X2+8x+15 6. X2+8x+12 7. X2-3x-28 8. X2-8x-33 9. X2-2x-15 10. X2+8x-33 11. X2+2x-15 12. X2-8x+15 answer: a. (x+2)(x+3) E. (x+1)(x+6) D. (x+4)(x+5) U. (x+4)(x+3) C. (x+2)(x+6) R. (x+1)(x+15) S. (x+1)(x+12) N. (x+3)(x+5) I. (x-3)(x+5) W. (x-5)(x+3) T. (x-3)(x-5) F. (x+7)(x-4) K. (x+4)(x-7) H. (x-7)(x-4) L. (x-11)(x+3) B. (x-3)(x+11)

Answers

Answer 1

this letter in each box that contains the exercise's number. Factoring polynomials can be a tricky process, but it can be done with practice and a few key steps.

The first step is to identify if the polynomial is a prime or a composite. A prime polynomial cannot be factored, while a composite polynomial can be factored into two linear factors. Then, look for two numbers that can be multiplied together to give the constant term, and two numbers that add together to give the coefficient of the x-term. Once you have identified these numbers, factor out the greatest common factor and then separate the remaining terms into two binomials. Finally, use the distributive property to factor the binomials and simplify. The answers are: A. (x+2)(x+3) E. (x+1)(x+6) D. (x+4)(x+5) U. (x+4)(x+3) C. (x+2)(x+6) R. (x+1)(x+15) S. (x+1)(x+12) N. (x+3)(x+5) I. (x-3)(x+5) W. (x-5)(x+3) T. (x-3)(x-5) F. (x+7)(x-4) K. (x+4)(x-7) H. (x-7)(x-4) L. (x-11)(x+3) B. (x-3)(x+11)

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Related Questions

a triangle has two sides of length 18.9 and 2.9. what compound inequality describes the possible lengths for the third side, x?

Answers

A triangle has two sides of length 18.9 and 2.9. inequality which describes the possible lengths for the third side, x is 16 < x < 21.8

The triangle inequality theorem states that,

given two lengths of the sides of a triangle, the length of the third side of the triangle must be greater than the difference and less than the sum of the two given sides.

For the two sides a and b of the triangle, the third side c must follow as follows:

(a - b) < c < (a + b)

So let a = 18.9 and b = 2.9

let the length of third side of triangle be x then

(18.9 - 2.9) < x < (18.9 + 2.9)

=> 16 < x < 21.8

So , the third side of the triangle must follow the inequality 16 < x < 21.8

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Solve the given proportion 7/x 21/6 x = [?] Enter​

Answers

Answer:

x=2

Step-by-step explanation:

7÷x=22÷6

cross multiply

7×6=21×x

21x=42

21x/21=42/21

x=2

0=-25x+800 solve for x

Answers

-25x+800=0

-25x =-800

25x=800

x=32

Answer:

x = 32

Step-by-step explanation:

0=-25x+800

To solve for x, add 25x to each side

0+25x=-25x+800+25x

25x = 800

Divide each side by 25

25x/25 = 800/25

x = 32

ASAP (GET LOTS OF POINTS) If ABCD is a parallelogram, find m∠D.

Answers

Answer:

∠D = 127°

Step-by-step explanation:

Let's define the properties of a parallelogram to understand how to solve for ∠D.

⭐The opposite angles in a parallelogram are congruent.

∠D = ∠B∠A = ∠C

⭐The sum of the interior angles of a parallelogram is 360°.

∠A + ∠B + ∠C + ∠D = 360°or: 2(∠A) + 2(∠B) = 360°or: 2(∠D) + 2(∠C) = 360°

First, let's solve for x knowing that the opposite angles are congruent.

∠A = ∠C

[tex]13x - 25 = 9x - 1[/tex]

[tex]13x - 9x = 25 - 1[/tex]

[tex]4x = 24[/tex]

[tex]x = 6[/tex]

∴ x = 6

Next, substitute x into ∠C.

∠C = 9x - 1

∠C = 9(6) - 1

∠C = 54 - 1

∴ ∠C = 53°

Finally, substitute ∠C into the equation 2(∠D) + 2(∠C) = 360° to solve for ∠D.

2(∠D) + 2(∠C) = 360°

2(∠D) + 2(53) = 360

2(∠D) + 106 = 360

2(∠D) = 254

∴ ∠D = 127°

⭐if this response helped you, please mark it the "brainliest"!⭐

Click and drag like terms onto each other to simplify fully.
66+3x+3x-6−6+4+4+5y+5y

Answers

Answer:

62 + 6x + 10y

Step-by-step explanation:

1. add the x's together

3x+3x = 6x

2. add the constants together

66-6-6+4+4 = 62

3. add the y's together

5y + 5y = 10y

Look carefully at the triangle in the diagram.
The value of x is ___ °

Answers

Answer:

60 or 90 degrees

Step-by-step explanation:

if one angle is 30 the other has to be 60 or 90 as they are common múltiples due the cosine rule and pythogras therom (mind my spelling).

Which of the following types of functions have inverse functions?
A.May-to-one
B.One-to-many
C.One-to-one
D.Many-to-many​

Answers

One-to-one is the following types of functions have inverse functions.

What is a simple definition of a function?

As a set of inputs with one output for each, a function is defined as a relationship between them. In plain English, a function is an association between inputs in which each input is connected to precisely one output.

                      A function is a type of rule that produces one output for a single input. One function, many. function onto (Surjective Function) into: perform. Function of a polynomial.

What does function entail when it does not?

A function is a relationship between a domain and a range where every value in the domain only has one possible value in the range. This notion is violated by relations that are not functions.

                            They contain at least one value in the domain that relates to two or more values in the range.

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Classify each proposition as simple or compound. Classify each compound proposition as i netton conjunction desunction conditional or biconditional 1. My friend took his master's degree in Spain.
2. Roses are red, but violets are blue. 3. You are entitled to a 30% discount if you are a member.
4. Boel was on time, but Tom was late,
5. Either he watches a niovie or dines with his friends.
6. If it is an acute angle, then it has less than 90​

Answers

1. My friend took his master's degree in Spain :- Simple

2. Roses are red, but violets are blue. :- Compound

3. You are entitled to a 30% discount if you are a member.:- Compound

4. Boel was on time, but Tom was late.:- Compound

5. Either he watches a niovie or dines with his friends.:- Compound

6. If it is an acute angle, then it has less than 90.:- Simple

A simple sentence consists of just one clause. And it is consist of a subject and a verb.

A simple sentence has the most basic elements that make it a sentence: a subject, a verb, and a completes thought.

A compound sentence is made up of two or more independent clauses.

This compound sentence consist of two simple clauses connected by the coordinating conjunction 'and'.

Two independent clauses need to be connected with a coordinating conjunction or separated with a full stop or semicolon.

A simple sentence can also be refereed to as an independent clause.

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HELP! I give Brainliest!!
A right rectangular prism is 3 in by 4.75 in by 20.5 in. What is the total surface area of the prism?
151.5 in²
173.125 in²
317.75 in²
346.25 in²

Answers

The rectangular prism that has the dimensions of 3 inches by 4.75 inches by 20.5 inches, has a total surface area, found by adding the surface areas of the six faces of 346.25 in²

What is the surface area of an object?

The surface area of a solid three dimensional object is the area of the boundary surface of the object and its surroundings.

The dimensions of the rectangular prism in the question can be defined as follows;

Let the length of the rectangular prism = 3 inches

Let the width of the prism = 4.75 inches

Let the height of the prism = 20.5 inches

The surface area, A, of a rectangular prism can be found using the formula

A = 2 × Length × Width + 2 × Length × Height + 2 × Height × Width

Therefore, the surface area of the rectangular prism in the question is found as follows;

Area, A = 2 × 3 × 4.75 + 2 × 3 × 20.5 + 2 × 20.5 × 4.75 = 346.25

The total surface area of the rectangular prism is; 346.25 in²

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how to find equations of the lines that pass through given point and are parralell and perpendicular to the given line

Answers

We can find the equation of any line passing through a given point and parallel or perpendicular to a given line by finding the slope of the given line and using slope-intercept form.

Given, the line passing through a given point and parallel and perpendicular to a given line

we have to find the equation of the lines

Let l1 be a line passing through a point (p , q) and parallel to a line l2.

suppose the equation of the line l2 be,

y = mx + c

the line l2 has slope m

Now to find the equation of the line l1,

(y - q)/(x - p) = m

On cross-multiplying, we get

y - q = m(x - p)

y = mx - pm + q

So, the equation of the line l1 be,

y = mx + (q - pm)

Similarly, we can find the equation of any line passing through a point and parallel to a given line.

Hence, we can find the equation of any line with the slope.

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a new vaccination is being used in a laboratory experiment to investigate whether it is effective. there are 273 subjects in the study. is there sufficient evidence to determine if vaccination and disease status are related?vaccination statusdiseasednot diseasedtotalvaccinated5762119not vaccinated8371154total140133273step 2 of 8: find the expected value for the number of subjects who are vaccinated and are diseased. round your answer to one decimal place.

Answers

The expected value for the number of subjects who are vaccinated and are diseased is  56.7

Since we are given the information that a new vaccination is being used in a laboratory experiment to investigate whether it is effective. there are 273 subjects in the study.  We can calculate this by taking the total number of subjects who are vaccinated (119) and multiplying it by the proportion of subjects who are diseased

(47/273).  119 x (47/273) = 56.7

which is  the expected value for the number of subjects who are vaccinated and are diseased

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Light travels at about 186,000 miles per second.
Which shows an equivalent speed?
(A)
(В)
O
D
1.86x103 miles per second
1.86x104 miles per second
1.86x105 miles per second
1.86x106 miles per second

Answers

Answer:

The answer is 1.86x10 6

Step-by-step explanation:

10x6 is 100k and the speed light travels is 186k so to get the answer you need to find the one that gets to 100k and then multiply it by 1.86

what is the probability that in a group of 5 people chosen at random, there are at least two born on the same day of the week?

Answers

Therefore , the probability of at least two born on the same day of the week is  0.143

What is probability?

Probability is the possibility that an event will happen.This could mean that something is definitely going to happen, that it has a chance of happening, or that it is impossible. Mathematically, probability is quantified on a scale from 0 to 1.

Given:

group of 5 people at random.

We used the formula for the conditional probability

The conditional probability is,

P(A|B)=P(AUB)/P(A)

The complement rule of probability, which is the second, is

P(E) = 1 - P(e)

Calculate one by one

a) Since a week has seven days and the first person has seven possible birth dates, the likelihood of that person is:

P(1st person) = 7/7 = 1

The second person now gets the same possibilities as person 1, but he or she must match that person's day, therefore there is only one option out of seven that fits that criteria, as follows:

P(A|B) = 1/7

Then the probability is

P = 1 * 1/7 = 1/7 or 0.143

Therefore , the probability of at least two born on the same day of the week is  0.143

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Is this Relation a Function?
{(0,2),(3,4),(-3,-2),(2,4)}

Answers

Answer:

Yes.

Step-by-step explanation:

In order for a relation to be a function, Each y value must have a unique x value. If there is any point where a vertical line hits the relation in two places, it is not a function. This relation follows the rules of being a function, and therefore is a function.

graph the line that has a slope of -3 and includes the point (1,5)

Answers

On solving the provided question, we got to know that -  to plot the graph, required equation is 3x +y -8 = 0

What is an expression?

a collection of numbers, symbols, and operators (like + and ) that represent a value. Examples -  2 + 3 is a formula and there is also the statement 3 x/2. The equals symbol does not appear in expressions. Actually, none of these = ≠ < > ≤ ≥

How do you write a mathematical expression?

We frequently have to understand a written phrase in order to write an expression. For instance, the notation x + 6 can be used to represent the phrase "6 added to some number," where x stands for the unknown value.

To plot the graph,

we need to find the equation first.

and to find the equation -

[tex](y - y1) = m(x - x1)\\here,\\x1 = 1\\y1 = 5\\m- ( -3 )[/tex]

equation  -

(-3)(x-1) = y-5

-3x + 3 = y-5

3x - 3 = 5-y

3x +y -8 = 0

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Use the table to write a proportion.

Answers

The proportion is 12 : 14 : : 18 : w and the value of w is 21

The number of shots in Game 2 is 21

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

Given data ,

Let the 2 games be Game 1 and Game 2

Now , the equation will be

The number of points in Game 1 = 12

The number of shots in Game 1 = 14

And ,

The number of points in Game 2 = 18

The number of shots in Game 2 = w

So , the proportion equation is given as

Number of points in Game / number of shots in Game = number of points in Game / number of shots in Game 2

Substituting the values in the equation , we get

12 / 14 = 18 / w

Multiply by 14 on both sides of the equation we get

12 = ( 18 x 14 ) / w

Multiply by w on both sides of the equation , we get

12w = 18 x 14

Divide by 12 on both sides of the equation , we get

w = ( 18 x 14 ) / 12

On simplifying the equation , we get

w = 3 x 7

w = 21

Therefore , the value of w is 21

Hence , The proportion is 12 : 14 : : 18 : w and the value of w is 21

The number of shots in Game 2 is 21

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Help me please I don’t understand

Answers

The age of Michelle is 30 years old (option A).

What is  Michelle's age?

The mathematical operation that would be used to determine the required value is multiplication. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is ×.

The first step is to determine Fiona's age.

Fiona's age = Madeline's age x 2

Fiona's age = 5 x 2 = 10

The second step is to determine Michelle's age.

Michelle's age = Fiona's age x 3

Michelle's age = 10 x 3

Michelle's age = 30

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express the limit as a definite integral on the given interval. lim n → [infinity] n ∑ i = 1 cos x i x i δ x , [ 2 π , 4 π ]

Answers

The limit as a definite integral on the interval [tex]$\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$[/tex] on [2π , 4π] is [tex]$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$[/tex].

What is meant by definite integral?

A definite integral uses infinitesimal slivers or stripes of the region to calculate the area beneath a function. Integrals can be used to represent a region's (signed) area, the cumulative value of a function changing over time, or the amount of a substance given its density.

Definite integral, a term used in mathematics. is the region in the xy plane defined by the graph of f, the x-axis, and the lines x = a and x = b, where the area above the x-axis adds to the total and the area below the x-axis subtracts from the total.

If an antiderivative F exists for the interval [a, b], the definite integral of the function is the difference of the values at points a and b. The definite integral of any function can also be expressed as the limit of a sum.

Let the equation be

[tex]$\int_a^b f(x) d x=\lim _{n \rightarrow \infty} \sum_{i=1}^n f\left(x_i\right) \Delta x$[/tex]

substitute the values in the above equation, we get

= [tex]$\lim _{n \rightarrow \infty} \sum_{i=1}^n \frac{\cos x_i}{x_i} \Delta x$[/tex] on [2π, 4π],

simplifying the above equation

[tex]$\int_{2\pi}^{4 \pi} \frac{\cos x}{x} d x$$[/tex]

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if the racetrack publishes that the odds in favor of a horse winning a race are 3 to 5, what is probability that the horse will not win the race? a) 0.3333 b) 0.3750 c) 0.2000 d) 0.6250 e) 0.0667 f) none of the above.

Answers

Probability that the horse will not win the race is  d) 0.6250

What is a probability ?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

odds in favour of winning a race of 3:5

thus, 3 chances of winning to every 5 chances of losing.

So, if the race were held 8 times, one would be expected to win 3 races and lose 5 races.

Thus, the probability of winning the race is 3/8.

Probability that the horse will not win the race is 1- 3/8 = 1 - 0.3750 = d) 0.6250

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jerry graded seven standardized tests with the following scores: 60, 74, 41, 87, 94, 79, 57 which standardized test score represents the 50th percentile? 41 57 74 79

Answers

Answer: 74

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Got it right on the test.

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the left.
A number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

Answers

The required choice for inequality is Option 2.

What is inequality?

An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way.

Finding a range, or ranges within ranges, of values that an unknown x can have while still satisfying the inequality is referred to as "solving" an inequality. In this lesson, inequalities are resolved using graphs and algebra.

Given, 3(8 – 4x) < 6(x – 5)

or, 24 - 12x < 6x - 30

or, 24 + 30 < 6x + 12x

or, 54 < 18x

or, 18x > 54

or, x > 3 means x is greater than positive 3 and pointing to the right.

Hence, the required choice for inequality is Option 2.

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Answer: b

Step-by-step explanation:

a flight overbooked by 4 passengers
(Write an integer to represent the equation)

Answers

The integer the represent a flight overbooked by 4 passengers is y = x + 4

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given,

A flight overbooked by 4 passengers.

Let, x = Initial capacity of the flight to have passengers

and, y = Total capacity after adding all the passengers

so, the equation is

y = x + 4

Therefore, the integer the represent a flight overbooked by 4 passengers is y = x + 4.

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a student's exponential model has smaller residuals than their quadratic model. what can you infer about their experiment?

Answers

You can infer that the exponential model is a better fit for the data in the experiment, as it has smaller residuals than the quadratic model.

Residuals are the difference between the actual data points and the predicted values generated by the model. They are a measure of how well a model fits the data, and a lower residual indicates a better fit. Therefore, if the student's exponential model has smaller residuals than their quadratic model, it can be concluded that the exponential model is a better fit for the experiment data.

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A stadium has 50,000 seats. Seats sell for $42 in section A, $24 in section B, and $18 in section C. The number of seats in section A equals the total number of seats in sections B and C. Suppose the stadium takes in $1,588,200 from each sold out event. How many seats does each section hold?

Answers

The section A has total seats of, 25000, section B has got 14,700 and section C has got total 10,300 seats.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given equations in the question,

A + B + C = 50,000   (i)

42A + 24B + 18C = 1,588,200     (ii)

A = B + C    (iii)

Substitute value of A from (iii) to (i),

2B + 2C = 50000

B + C = 25,000   (iv)

Similarly, substitute value of (iii) in equation (ii),

42 (B +C) + 24B + 18C = 1588200

66B + 60C = 1588200

33B + 30C = 794100  (v)

Multiply 33 in equation (iv) and subtract from (v)

-3C = -30900

C = 10,300 seats.

Now,

B + C = 25000

B = 25000 - 10300

B = 14,700 seats.

And,

A = B + C

A = 10300 + 14700

A = 25000 seats.

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Help finding the linear equation for this chart

Answers

The linear equation for the given chart is: y = -3x + 7.

How to Write a Linear Equation?

From the chart given, we can use two pairs of values to find the slope (m) and the y-intercept (b), then plug in their values into the equation that is expressed in slope-intercept form as y = mx + b.

Using two points, (1, 4) and (3, -2), find the slope (m):

Slope (m) = change in y / change in x = (-2 - 4) / (3 - 1)

Slope (m) = -6/2

Slope (m) = -3

Find the y-intercept (b) by substituting m = -3 and (x, y) = (1, 4) into y = mx + b:

4 = -3(1) + b

4 = -3 + b

4 + 3 = b

7 = b

b = 7

To write the linear equation, substitute m = -3 and b = 7 into y = mx + b:

y = -3x + 7

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the length of a rectangle is less than double the width, and the area of the rectangle is . find the dimensions of the rectangle.

Answers

The dimensions of the rectangle are 6 and 3.5 ft.

Let the width of rectangle be x. So, the length of the rectangle will be 2x - 1. As per the known fact, the area of rectangle is given by the formula -

Area = length × breadth

Keep the values in formula to find the dimensions of the rectangle

x(2x - 1) = 21

Performing multiplication on Left Hand Side of the equation

2x² - x = 21

Rewriting the equation

2x² - x - 21 = 0

On factorizing we get, x = -3 and 3.5.

The dimensions of rectangle can not be negative, this, taking the value of x as 3.5. Now, the width of rectangle will be 3.5.

Length of rectangle = (2×3.5 - 1)

Length of rectangle = 7 - 1

Length of rectangle = 6

Thus, the length and width is 6 and 3.5 ft respectively.

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The complete question is -

the length of a rectangle 1ft less than double the width ,and the area of the rectangle is 21ft^2 find the dimensions

Need help answering this question

Answers

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

What is speed?

Speed is the ratio of distance and time.

It shows how fast an object is moving at a given time.

We have,

The table has a linear relationship.

We can choose two data from the table.

At time = 15,

Distance below the sea level = 545 feet.

At time = 27,

Distance between the sea level = 677

Now,

The rate of change of the distance below the sea level with respect to time.

Slope:

= (677 - 545) / (27 - 15)

= 132 / 12

= 11 feet per second

Thus,

The rate of change of the distance below the sea level with respect to time is 11 feet per second.

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The rate of change of distance for the submarine is given by 11 feet/sec.

How to find the slope for two given points?

In order to find the slope between two points (x₁, y₁) and (x₂, y₂), take the ratio of the difference of the respective coordinates as (y₂ - y₁)/(x₂ - x₁).

Given that,

The table for distance travelled versus time taken for a submarine.

In order to find the slope, take two values of distance and time from the given table as  380 feet at t = 0 and 545 feet at t = 15.

Now, the slope can be found as,

slope = (545 - 380)/(15 - 0)

         = 165/15

         = 11

Hence, the rate of change of distance below sea level with respect to time is given as 11 feet/sec.

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Order these from least to greatest

Answers

Answer: -20, -19, -18, |-18|, |-22|, |30|

Step-by-step explanation:

A number with vertical lines on either side means the absolute value of that expression, i.e. how far it is from 0. An absolute value can be 0 or positive but never negative.

|-18| = 18

|-22| = 22

|30| = 30

Positive numbers are bigger, greater, or higher than zero. They are on the opposite side of zero from the negative numbers. Negative numbers get smaller the farther they are from zero. You can think of positive and negative numbers as being opposites because they are on opposite sides of the number line.

I hope this helps :)


A drama class has a total of 39 students. The number of males is 17 more than the number of females. How many males and how many females are in the
class?

Answers

There are 28 males and 11 females in the class.

What is a linear equation?

A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.

Let the number of males be x and the number of females be y. We know that x = y + 17 and x + y = 39.

Substituting the first equation into the second equation, we get:

y + y + 17 = 39

2y + 17 = 39

2y = 22

y = 11

The number of females is 11, and the number of males is x = y + 17 = 11 + 17 = 28.

Hence, there are 28 males and 11 females in the class.

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suppose that for a particular piece of machinery, the frequency distribution of monthly breakdowns is as follows: number of breakdowns prob. 0 0.50 1 0.25 2 0.10 3 0.10 4 0.05 the cost of a breakdown is $2,000, and the cost of a preventive maintenance program is $2,000 per month. if the preventive maintenance program is adopted, the probability of a machine breakdown is negligible. how much better off per month would the firm be if it adopted preventive maintenance? multiple choice $100 better off $2,000 better off $200 better off $100 worse off $200 worse off

Answers

$100 much better off per month would the firm be if it adopted preventive maintenance.

Given that,

We have to find how much more profitable would the company be each month if it implemented preventive maintenance.

We know that,

Number of Breakdowns are 0, 1, 2, 3, 4

The problems for the breakdowns are 0.50, 0.25, 0.10, 0.10, 0.05

Cost of a breakdown is $2,000

A monthly preventive maintenance programme costs $2,000

Expected probability of breakdown:

E(x) = Σ(X × p(x))

= (0×0.5) + (1×0.25) + (2×0.10) + (3×0.10) + (4×0.05)

= 0.95

E(x) ×cost of breakdown = (0.95 × 2000) = $1900

So, Difference between breakdown and preventive maintenance

1900 - 2000 = - $100

Therefore, $100 much better off per month would the firm be if it adopted preventive maintenance.

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