Hong is driving to Dallas. Suppose that the distance to his destination (in miles) is a linear function of his total driving time (in minutes). Hong has 54 miles to his destination after 38 minutes of driving, and he has 44.4 miles to his destination after 50 minutes of driving. How many miles will he have to his destination after 68 minutes of driving?

The weighted average length of the nails in the drawer is given as follows:

D. 3.50 cm.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

For the weighted mean, each observation is multiplied by it's weight.

Considering the percentages as the weights, the weighted average length of the nails in the drawer is obtained as follows:

0.705 x 2.5 + 0.19 x 5 + 0.105 x 7.5 = 3.5.

Meaning that option D is the correct option for this problem.

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Answer:

60%

Step-by-step explanation:

9/15 converted = 0.6 = 60%

To find the asymptotic complexity of a function, you need to analyze the behavior of the function as the size of the input grows. You need to determine the number of operations that are performed by the algorithm, and express this as a function of the size of the input.

Asymptotic complexity is a measure of the growth rate of the running time of an algorithm as the size of the input grows towards infinity. It is expressed using big O notation, which provides an upper bound on the growth rate of the running time.

Here are the steps to find the asymptotic complexity of a function:

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Answer:

c is -15

Step-by-step explanation:

minus 84 from 99 then add a minus onto it or just take away 84 from 99

Answer:-2 °F

Step-by-step explanation:

Este numero es mas frio porque es de menos valor y lo mas bajo que es el numero lo mas frio que se siente.

As per the given triangles given in the question, the corresponding names are mentioned accordingly in the answer.

A triangle is a basic polygonal geometry with three sides and three interior angles. This is a fundamental geometric shape that is particularly related. Its three vertices are joined together. Depending on their sides and angles, triangles can be classified into a wide range of groups.

In geometry, there are six different kinds of triangles. There are two categories into which they can be divided. The three triangles are categorized as equilateral triangles, isosceles triangles, and scalene triangles based on their sides. Triangles can be classified as acute, obtuse, or right-angled depending on the angle at which they are formed. There are so six different kinds of triangles in geometry.

As per the given information in the question,

a. 1, 2

b. 1

c. 2

d. 6

e. 5, 6, 7

f. 7

g. 6

h. 6

i. 4, 6

j. 4, 6

k. 4, 8

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Complete question -

Here the statements 1, 2, 3, 4, 5, 7, 8, 10 are correct according to the rules of the shapes.

1: A rhombus is a quadrilateral with four equally sized sides. Each square is a rhombus since they all have four sides that are the same length. 2: Due to the parallel alignment of its opposing sides, every rhombus is a parallelogram. 3: It is true that all rectangles are parallelograms since they have two sets of parallel sides and two pairs of equal opposing sides. 4: The other is split into two equal halves by each bisector. 5: If a quadrilateral's diagonals are equal and bisect one another at right angles, it is a square. 7: Since the diagonals themselves are congruent, each bisected line segment is also congruent. 8: The diagonals split a rhombus's vertex angles into equal halves. The diagonals of a rhombus are at right angles to one another. 10: A square is a rhombus. Sometimes, this is accurate. When a rhombus has four right angles, it is true. So the statements 1,2,3,4,5,7,8,10 are correct.

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Answer:587

Step-by-step explanation:

Ok so it’s 587 I’m jp

The surd is rationalized to give √6 - 5√3 + 5√2 - 25/2  + 25

It is important to note that fractions are a part of whole number or element.

The different types of fraction includes;

Given the expression;

√3 - 5/√2 + 5

√3 - 5/ √2 + 5 ×√2 - 5/√2 - 5

Multiply the values

√6 - 5√3 + 5√2 - 25/√4 - 5√2 + 5√2 + 25

Add the like surds and find the square roots, we get

√6 - 5√3 + 5√2 - 25/2  + 25

Hence, the expression is √6 - 5√3 + 5√2 - 25/2  + 25

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Answer:

P(AA) = 0.41

P(PM) = 0.38

P(AA and PM) = 0.05

As you are finding P(AA or PM), you can apply the formula:

P(A U B) = P(A) + P(B) - P( A ∩ B)

U = Union  P( A U B) = P (A or B)

∩ = And

From the formula, you can find out the answer:

P(AA or PM) = P(AA) + P(PM) - P(AA and PM)

                     = 0.41+0.38-0.05

                     = 0.74

hope this helps!!!!

(a) P(D and E) is equal to 0.06.

(b) P(E | D) is equal to 0.75.

(c) P(D or E) is equal to 0.32.

(d) D and E are not independent.

(e) D and E are not mutually exclusive.

The solution has been obtained using probability.

What is probability?

Probability is a mathematical concept used to determine the likelihood of an event. It merely allows us to calculate the probability or possibility that an event will occur. The range of probabilities lies between 0 and 1, where 1 signifies a certain event and 0 denotes an impossibility.

We are given the following:

No. of students that have taken a distance learning class = 8%

No. of students that are part-time students = 30%

No. of part-time students that have taken a distance learning class = 20%

Let D = event that a student takes a distance learning class and E = event that a student is a part-time student.

(a) Since, 20% of the part times students are taking distance learning classes (D and E) so,

P(D and E) = 0.3 * 0.2 = 0.06

(b) P (E | D) = P (D and E) / P (D)

P (E | D) = 0.06 / 0.08

P (E | D) = 0.75

(c) P (D or E) = 0.3 + 0.08 - 0.06 = 0.32

(d) For events to be independent, probability of D and E must be equal to P(D) x P(E).

But, P(D and E) ≠ P(D) x P(E)

So, D and E are not independent.

(e) Events are considered mutually exclusive if they do not occur at the same time.

But, D and E can occur at the same time.

So, D and E are not mutually exclusive.

Hence, the solutions have been obtained.

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3 and 5 supplementary angles can prove that lines L and M are parallel. The solution has been obtained by using the properties of parallel lines.

What are parallel lines?

In a plane, lines that are parallel to one another do not meet or overlap at any point. They are always parallel and equally spaced apart. Parallel lines are non-intersecting lines. Infinity is another place where parallel lines are believed to meet.

We are given a set of parallel lines and various angles are marked on the lines.

Angles 3 and 4 can not prove that the lines are parallel because they lie on the same line.

Similarly, angles 7 and 8 can also not prove.

But, angles 3 and 5 can prove this because they lie on different lines i.e. they belong to both the lines.

Hence, 3 and 5 supplementary angles can prove that lines L and M are parallel.

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Complete question:

\Which supplementary angles can prove that lines L and M are parallel?

A. 3 and 4

B. 3 and 5

C. 7 and 8

The table of linear function shows that f(1) is equal to -3

A linear function is a mathematical function of the form f(x) = mx + b, where m and b are constants and x is the input variable. This function produces a straight line on a graph, with a constant slope (m) and a y-intercept (b) where the line intersects the y-axis.

The slope (m) of a linear function represents the rate of change of the function, or the steepness of the line, while the y-intercept (b) represents the value of the function when x=0.

In the function table given, we can find f(1) when we look at the table.

This shows that f(1) is equal to -3

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the value of EX will be 8x -23 in the form of variable x.

Simultaneous equations, Two or more equations in algebra must be solved jointly (i.e., the solution must satisfy all the equations in the system). The number of equations must match the number of unknowns for a system to have a singular solution.

There are four methods for solving systems of equations: graphing, substitution, elimination, and matrices.

Given, Cx = 2x-15 and CE=2x-8 these are the measurement of the distance Of points E and x from the point c

Distance between two points is the length of the line segment that connects the two points in a plane.

Thus the total distance = CE + CX = 2x -15 + 2x -8

Total distance (EX) = 4x - 23

Therefore, the value of EX will be 8x -23 in the form of variable x.

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Answer:  -(-5) =5

-|-2| = -2

Step-by-step explanation:

Two negatives = positives



Glad to help do you mind clicking the crown for me it would really help please and thank you have a blessed day!

The length and the width of the fencing are 85 feet and 30 feet respectively.

The whole distance that a rectangle's borders, or its sides, the cover is known as its perimeter. Given that a rectangle has four sides, the perimeter of the rectangle will be equal to the total of its four sides.

Given:

Darrin is hanging 200 feet of Christmas garland on the three sides of fencing that encloses his rectangular front yard.

The length is five feet less than three times the width.

Let w be the width.

Then, 3w - 5 is the length.

So, the perimeter of the rectangular fence = 200 + w.

Now, 2(3w - 5 + w) = 200 + w

6w - 10 + 2w = 200 + w

7w = 210

w = 30

Then length = 85

Therefore, length = 85 feet and width = 30 feet.

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The two equations for f(x) are not equal at x = 1 and f(x) is therefore discontinuous at this point

f(x) is discontinuous at x = 1 because when x = 1, the two separate equations for f(x) do not have the same output. For x < 1, [tex]f(x) = x^2 + 4[/tex], so when x = 1, [tex]f(1) = 1^2 + 4 = 5. For x > 1, f(x) = x + 4[/tex] , so when x = 1, f(1) = 1 + 4 = 5. The output of f(1) is different on each side of the discontinuity. This can be seen in the following calculation:

For x < 1,

[tex]f(x) = x^2 + 4f(1) = 1^2 + 4 = 5For x > 1,f(x) = x + 4f(1) = 1 + 4 = 5[/tex]

Since f(1) is 5 for x < 1 and f(1) is also 5 for x > 1, the two equations for f(x) are not equal at x = 1 and f(x) is therefore discontinuous at this point.

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A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function.

A uniform random variable's density function is f(y) = 1 for y 1 and 0 otherwise. Accordingly, the likelihood of any specific outcome of y is the same, and the likelihood of any range of outcomes is equal to the length of the range. F(y) = 0 for y 0, F(y) = y for 0 y 1, and F(y) = 1 for y > 1 define the distribution function. Accordingly, the length of the range multiplied by the likelihood of any specific occurrence yields the cumulative probability of any range of outcomes. Since the likelihood of any specific result in that range is 1 and the range's length is 0.5, for instance, the cumulative probability of 0 y 0.5 is 0.5. Since the likelihood of any given result within that range is still 1, but the range's length is 0.5, the cumulative probability of 0.5 y 1 is 0.75. The chance of any range of outcomes for y1 and y2 if they are independent random variables both having the uniform(0,1) distribution is just the sum of their respective cumulative probabilities.

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Answer:

B) Linear Pair

D) Adjacent

E) Supplementary

Step-by-step explanation:

Because the sum of the two angles is 180°, we conclude that the correct options are:

B, D, and E.

We want to find the relationship between angles a and b.

Notice that if we would add these two angles, we would get a plane angle, then we could write:

∠a + ∠b = 180°.

That means 3 things:

The angles are adjacent because share a vertex and a common side, and the angles are supplementary because their sum is equal to 180°, and also are a linear pair, because their sum is equal to 180°.

Then the correct options are:

B, D, and E.

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The man should pull rope A to lift the load more easily

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

The diagram

To determine the rope to pull, we calculate the moment at the point

This is calculated as

Moment = Force * Perpendiculat Distance

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

Point A = F * (6 + 2)

Point B = F * (3 + 1)

Evaluate

A = 8F

B = 4F

8F is greater than 4F

Hence, the man should pull from point A

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On solving the provided question, we can say that the area of the rectangle  polygon is 474 ft².

A rectangle in Euclidean geometry is a parallelogram with four slight angle. It may alternatively be described as a hexagon that is basic rule, or one in which all of the angles are equal. A straight angle is another another option for the parallelogram. In a square, four of the vertices are the same length. A quadrilateral with a rectangle-shaped cross section has four 90 ° angle vertices + equal parallel sides. As a result, it is sometimes referred to as a "equirectangular rectangle". Due to such equal and parallel dimensions of its two sides, a rectangle is occasionally referred to as parallelogram.

The left rectangle has a height of 18 ft and a width of 21 ft, so its area is:

[tex]18 ft x 21 ft = 378[/tex] ft²

The right rectangle has a height of 12 ft and a width of 8 ft, so its area is:

[tex]12 ft x 8 ft = 96[/tex] ft²

Therefore, the total area of the polygon is:

378 ft² + 96 ft² = 474 ft²

So the area of the polygon is 474 ft².

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1. The water's height at 12 pm on September 22 was given as follows: 3.5 feet.

2. The number of times that the water's height was of 5 feet is of: 4 times.

3. The lowest rate the water got during this time period was of: 0.5 feet at 12 pm on 09/24.

4. The water never reaches a height of 6 feet.

The estimates are made considering the graph of the function.

The input and the output of the graph are given as follows:

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Answer:

Step-by-step explanation:

75

Answer:

Step-by-step explanation:

The variable b is common to each expression.

Take the b out and put the remaining numbers in a parenthesis:

b ( 2 + 7)

b (9)

9b

The distance from the school to Cristian home is least which is 1.375 miles.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Paula lives 1 ⁹/₁₀ from school. Nate lives 1 ³/₄ miles from school. Cristian lives 11/8 miles from school.

Convert the mixed fraction and fraction number into a decimal number. Then we have

1 ⁹/₁₀ = 1.90 miles

1 ³/₄ = 1.75 miles

11/8 = 1.375 mies

The distance from the school to Cristian home is least which is 1.375 miles.

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Answer:

90°

Step-by-step explanation:

they are forming a right angle (90°).

The second object is approximately 4.4 * 10^9 times bigger than the first object.

The division of the value of the second scientific notation from the first scientific notation is the precise and accurate way with which we can determine many many times bigger is the second object compared to the first object.

To do so, group coefficients together and exponents together to divide numbers in scientific notation. i.e.

= (3.7/8.5) * ((10^6)/(10^−4))

= 0.43529411 ×  ((10^6)/(10^−4))

Subtract the exponent from the denominator from the exponent of the numerator for the same base 0.43529411 ⋅ 10^(6 −4*−1)

= 0.43529411 × ((10^6+4)

= 0.43529411 × 10^10

= 4.3529411 × 10^9

≅ 4.4 × 10^9

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Using newton's method to find all real roots of the equation, 4x = 1+ x³ is

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

We have the equation,

4x = 1+ x³

To find the real roots of equation we have,

x1 = -2.11491, x2 = 0.2541, x3 = 1.86081.

The cubic equation formula in mathematics is how the cubic equation is represented. An equation with degree three is said to be cubic. In nature, the roots of all cubic equations are either one real root and two real roots or three real roots. Cubic polynomials are the name given to three-degree polynomials.

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Based on the given triangle, we can find that:

First, we will focus on the triangle NLP. NLP is a right triangle, then we can use the formula of sinus to find the length of NP, where:

Sin ∠NLP = NP / LP

Sin 35° = NP / 20

0.57 = NP / 20

NP = 11.47

NP ≈ 11

Next, we will focus on triangle GLP. GLP is a right triangle with hypotenuse of 52 and the base of 20. Using the Phytagoras theorem we can try to find the triangle's height.

GL² = GP² + LP²

52² = GP² + 20²

2704 = GP² + 400

GP² = 2304

GP = 48

GP = GN + NP

48 = GN + 11

GN = 37

To find the size of angle ∠GLN, we have to find the size of angle ∠PGN first. We will use the Sines Law:

LP / sin ∠PGN = GL / sin ∠GPN

20 / sin ∠PGN = 52 / 1

sin ∠PGN = 20/52

∠PGN = 22.5°

∠PGN ≈ 23°

∠GLP + ∠GPL + ∠PGN = 180°

∠GLP + 90° + 23° = 180°

∠GLP = 67°

∠GLP = ∠GLN + ∠NLP

67° = ∠GLN + 35°

∠GLN = 32°

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Answer: B

Step-by-step explanation:

1825/25=73

73*2=146

146