Rewrite the equation in Ax+By = C form.
Use integers for A, B, and C.
y-2=-5(x-3)

10:40 am

63 mile distance and 27 mph. starting from 8 am

63/27 => 2 (2/3) hours. 2/3 of an hour is also, 40 minutes.

so 8 am plus 2 hours and 40 minutes means 10:40 am

963.9 in³ cubic inches volume  of the treasure chest is taken up by the coins .

What does math's volume mean?

The volume of a 3D object is the amount of actual space it occupies. It is a 2D shape's 3D equivalent of area. Cubic units, such as cm3, are used to measure it. You may calculate this by multiplying its length, height, and width.

Remember that the volume of a cylinder is given by:

volume = (height)*pi*(radius)^2

Where pi = 3.14

Then here the volume of each coin is:

V = (0.0625 in)*3.14*(1.7 in)^2 = 5.67 in³

And there are 230 coins, so the total volume is

V = 170 * 5.67 in³

    = 963.9 in³

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Answer:

Step-by-step explanation:

the answer is 85.41 in^3

I got it right and I got to flvs .

Answer:

$8812.50

Step-by-step explanation:

To calculate the simple interest earned on Mia's investment, we can use the formula:

I = Prt

where I is the interest earned, P is the principal amount invested, r is the interest rate as a decimal, and t is the time in years.

Plugging in the values, we have:

I = $7500 * 0.035 * 5

I = $1312.50

The total amount Mia has after 5 years is the sum of her original investment and the interest earned:

$7500 + $1312.50 = $8812.50

Answer:

Three months to five years

Step-by-step explanation:

look it up

The probability that a randomly selected adult has an IQ less than 140 is 97.72%.

What is the standard deviation?

The standard deviation is a statistic that expresses how much variation or dispersion there is in a set of values. While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the set mean.

Given that the mean of adults' IQ is μ=100 and the standard deviation is σ=20.

The formula of z-score is z = (X - μ)/σ

Putting the value of μ = 100, σ=20, and X = 140:

z = (140 - 100)/20

z = 40/20

z = 2

From z table, we get the value of z is 0.9772 = 97.72%

P(X<140) = P(z = 2.0) = 97.72%

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Answer:

350 calories

Step-by-step explanation:

see the attachment.

Calories in one cheeseburgers = 135

And, Calories in one medium fries = 583

We have to given that,

At McDonald's four cheeseburgers and three medium fries have a total of 2290 calories.

And, Six cheeseburgers and two medium fries have 2560 calories.

Let us assume that,

Calories in one cheeseburgers = x

And, Calories in one medium fries = y

Hence, We get;

4x + 3y = 2290  . (i)

6x + 3y = 2560 .. (ii)

From (i);

3y = 2290 - 4x

Substitute above value in (ii);

6x + (2290 - 4x) = 2560

6x - 4x + 2290 = 2560

2x = 2560 - 2290

2x = 270

x = 270 / 2

x = 135

From (ii);

6 x 135 + 3y = 2560

810 + 3y = 2560

3y = 2560 - 810

3y = 1750

y = 1750/3

y = 583

Therefore, Calories in one cheeseburgers = 135

And, Calories in one medium fries = 583

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The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.

The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.  This can be calculated using Bayes' Theorem, which states that [tex]P(A|B) = (P(B|A) * P(A))/(P(B)).[/tex]

In this problem, P(A) is the probability of having tuberculosis (5%), P(B|A) is the probability of correctly identifying a person with tuberculosis (74.6%), and P(B) is the probability of getting a positive result (the sum of correctly identifying a person with tuberculosis (74.6%) and incorrectly identifying a person without tuberculosis

Therefore, P(A|B) = 0.7270.

The probability of an adult getting a NEG result and truly NOT having tuberculosis is 0.7270.

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The length of town from the base of the cliff is 848.25 feet

Concept of height and distance

You can use trigonometry formulas to find height and distance from anything. If you know the distance from the Qutub Minar to your current location and the angle at which you can see the top of the Minar, you can find the altitude of the Qutub Minar. Use trigonometry to find the elevation. This is because the ground, minaret elevation, and contour lines all combine to form a 90 degree right triangle between the minaret and the ground.

The distance is usually the "base" of the right triangle formed by the minar's elevation and line of sight. The length of the horizontal plane also forms the base of a triangle parallel to the ground at a given height, so we know the distance. The line of sight forms the "hypotenuse" of a right triangle. Lines perpendicular to the ground form the "height" of the triangle.

To calculate elevation or depression you can use the following formulas:

sinθ = hypotenuse /height.

cosθ = hypotenuse /base,

tanθ = base /height

where θ is the elevation or depression angle.

and in this question the angle of depression is 23 degree and height is 360 feet and we have to calculate the base

tan 23 degree = 360/base

base  = 360/tan 23

=360/0.4244

= 848.25 feet.

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After 38 hours, there will be 43.1 mg of the radioactive substance remaining.This means that the amount of a radioactive substance decreases exponentially over time

Radioactive decay follows an exponential decay curve. This means that the amount of a radioactive substance decreases exponentially over time. The equation for this is: [tex]A(t) = A0*e^(-λ*t\\[/tex])Where A(t) is the amount of substance at time t, A0 is the initial amount of substance, and λ is the decay constant. In this problem, A0 = 100 mg, t = 29 hours, and A(t) = 50 mg. We can use this to solve for λ:50 mg = 100 mg * [tex]e^(-λ*29)λ =[/tex] -0.027Now that we have the decay constant, we can calculate the amount of substance remaining after 38 hours:A(38) = 100 mg * [tex]e^(-0.027*38[/tex]).A(38) = 43.1 mg.Therefore, after 38 hours, there will be 43.1 mg of the radioactive substance remaining.

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The correct answer is "It takes 15 pattern block trapezoids to create 5 hexagons."

Pattern block trapezoids are a type of geometric shape commonly used in math education. They are one of several shapes that can be used to create tessellations, or repeating patterns, on a flat surface. Pattern block trapezoids come in different sizes and are made of different colored plastic or foam, with each color representing a different size and shape. In addition to their use in creating tessellations, pattern block trapezoids are often used to teach geometry concepts such as area, perimeter, and angles. They can also be used to help students develop spatial reasoning skills and problem-solving abilities. The most common set of pattern blocks includes six shapes: the trapezoid, hexagon, square, parallelogram, rhombus, and triangle. These shapes can be combined in a variety of ways to create different patterns and designs, making them a versatile and useful tool for math education.

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Answer:

24.67

Step-by-step explanation:

6 x 3 = 18

18 plus 6 = 24

X-M=0.60

P-3=7

24.67

The first figure represents Antiparallel β sheet. Second figure is parallel β sheet. Third figure represents neither of the two types. The fourth figure is also parallel β sheet and the fifth figure represents both types.

Antiparallel and parallel β-sheets are two different arrangements of the β-strands in a protein structure.

In an antiparallel β-sheet, the direction of the peptide bonds in the individual β-strands is opposed to each other, meaning that the N-terminal end of one strand points in the opposite direction from the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run perpendicular to the direction of the peptide bonds and hold the strands together.

In a parallel β-sheet, the direction of the peptide bonds in the individual β-strands is the same, meaning that the N-terminal end of one strand points in the same direction as the N-terminal end of the neighboring strand. The hydrogen bonds between the strands run parallel to the direction of the peptide bonds and hold the strands together.

Both antiparallel and parallel β-sheets play important roles in the structure and function of proteins, and are found in many different types of proteins, including enzymes, transport proteins, and structural proteins.

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Complete question:

classify each peptide chain as part of a parallel β sheet, part of an antiparallel β sheet, either type of β sheet, or not part of a β sheet. options in document attached below.

They are skating in the same direction, how long will it take Sam to catch up to tom

will take Sam 2.72 seconds to catch up to Tom.

Average speed is defined as the ratio of the total distance traveled by a body to the total time taken for the body to reach its destination.

To find out how long it will take Sam to catch up to Tom, we can use the following formula:

time = distance / (rate of Sam- the rate of Tom)

In this case, the distance is 120 ft (the distance between Tom and Sam when they start speed skating) and rate of Sam is 50 ft/sec, and the rate of Tom is 44 ft/sec.

Plugging these values into the formula, we get:

time = 120 / (50 - 44) = 120 / 6 = 20

So it will take Sam 20 seconds to catch up to Tom.

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a. The flagpole is 5 feet away from the building.

b. The height of the flagpole is 8 feet.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

The distance from the building to the flagpole is,

tan35° = 3.5/x.

x = 3.5/0.7.

x = 5 feet.

Now, tan48° = x/5.

x = 5/1.11.

x = 4.5 feet.

Therefore, The height of the flagpole is 4.5 + 3.5 = 8 feet.

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We have drawn the graph for the given inequality.

What is inequality?

Inequality is a mathematical statement that compares two values or expressions and shows their relative size. It is represented by the symbols >, <, ≥, or ≤, which respectively mean "greater than", "less than", "greater than or equal to", and "less than or equal to". Inequalities can also include variables and can be used to describe a range of possible values for that variable.

For the given inequality y ≤ 3/5x-5

we can draw the graph as shown below:

Hence, we have drawn the graph for the given inequality.

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Using division operation, if Amanda and her two friends split the total cost of renting a truck equally, Amanda will pay $47.50.

The division operation is one of the four basic mathematical operations, including addition, subtraction, and multiplication.

The division operation involves the dividend (the total cost) divided by the divisor (3 friends), which results in a quotient.

Fixed cost for renting a truck = $120

The variable cost per mile = $0.50

The total miles Amanda and her two friends drove = 45 miles

The variable cost for 45 miles = $22.50 ($0.50 x 45)

The total costs = Fixed + Variable Costs

= $142.50

Cost paid by Amanda = $47.50 ($142.50/3)

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The fixed cost for renting a truck is $120 with a variable cost per mile of $0.50.

The value of function f(5) is 8.

A function is defined as a relation between a set of inputs having one output each. A function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

The general representation of a function is y = f(x).

Injective function or One to one function: When there is mapping for a range for each domain between two sets.

Surjective Function or Onto function: When there is more than one element mapped from domain to range.

Polynomial function: The function which consists of polynomials

Inverse function: The function which can invert another function.

Given:

x with entries -4, -1, 3 and 5.

f(-4) = 2

f(-1) = 5

f(3) = 4

f(5) = 8

The value of f(5) is 8.

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Answer: f(5) is -8

Step-by-step explanation:

took the quiz

There were 198 sailors and the ratio of18 pirates, so 198 divided by 19 equals 10.4, meaning there were approximately 176 pirates.

Find the ratio of pirates to sailors

Ratio of pirates to sailors

= 18 : 19

Convert the ratio to a fraction

Ratio of pirates to sailors

= 18/19

Find the number of pirates

Number of pirates

= (18/19) × 198

Number of pirates = 176

The ratio of pirates to sailors is 18 to 19. This means that for every 19 sailors, there are 18 pirates. To figure out how many pirates there are when there are 198 sailors, we can use a proportion. First, set up the proportion with the ratio given. The ratio is 18:19, so the proportion is 18/19 = x/198. Then, cross multiply, 18 x 198 = 19x. Now, divide both sides by 19, and we get 18 x 198/19 = x. Then, solve for x by multiplying both sides by 19, and we get 18 x 198 = 19x. Finally, divide both sides by 198 to get x, and x =176. So, there were approximately 176 pirates.

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Answer:

The price of the desk in the furniture store is $202.8

The angle formed between the cables is 48.7°.

What is an angle?

An angle is a shape created by two rays that share a terminus and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are in the plane where the rays are located. The meeting of two planes also creates angles. We refer to these as dihedral angles.

Here, we have

Given: Tugboat A and Tugboat B are pulling a barge. Each tugboat is connected to the barge via a cable. If the length of the cables is 63 meters and 68 meters and the tugboats are 35 meters apart.

a = 68 m

b = 63 m

c = Distance between the tugboats = 35 m

m∠C = Angle between the cables

c² = a² + b² - 2abcosC

m∠C = cos⁻¹(c² - a² - b²)/(-2ab)

m∠C = cos⁻¹(35² - 68² - 63²)/(-2(68)(63))

m∠C = 48.7°

Hence, the angle formed between the cables is 48.7°.

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Answer:

x=8 is true for the this condition

Step-by-step explanation:

4x<34

if x=8

4*8<34

32<34

which is true

if x=10

40 is not greater than 34, so it not satisfied the condition

The correct option regarding when Chicago first exceeded Phoenix in the percentage of calls answers within 10 seconds is given as follows:

C. Between September and October.

The output of the graph represents the percentage of calls answered within 10 seconds.

Chicago and Phoenix are represented as follows:

At the beginning of September, the red line was above the green line, but at the beginning of October, the green line was above the red line, hence the correct option is given by option C.

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The number of hours taken to have the same number of pages completed is 5 hours.

The solution to the system of equations is (5, 50).

In order to write a system of linear equations that could be used to model the situation and determine the number of hours it would take to complete the workbook, we would assign variables to the number of hours and the number of pages respectively as follows:

Next, we would translate the word problem into system of linear equations as follows:

Isaiah: y = x + 45

Brenna: y = 9x + 5

When the same number of pages are completed, the number of hours taken can be calculated as follows;

x + 45 = 9x + 5

9x - x = 45 - 5

8x = 40

x = 5 hours.

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Yes, it is possible for a system of linear equations with fewer equations than variables to have no solution. For example, consider the system of linear equations: x + y = 1, x + 2y = 3, x + 3y = 4.

The system of linear equations given is:

x + y = 1

x + 2y = 3

x + 3y = 4

This system has two variables (x and y) but only three equations. We can add and subtract the equations to see that the first two equations imply that y = 2, but the third equation implies that y = 1. This is a contradiction, so there is no solution to the system.

To solve this system, we can use techniques such as elimination or substitution. For example, we can subtract the first equation from the second equation to eliminate x, and get:

[tex]x + 2y - (x + y) = 3 - 1[/tex]

[tex]y = 2[/tex]

Similarly, we can subtract the first equation from the third equation to eliminate x, and get:

[tex]x + 3y - (x + y) = 4 - 1[/tex]

[tex]2y = 3[/tex]

[tex]y = 3/2[/tex]

However, we obtained two different values for y, which is a contradiction. As a result, the equation system cannot be solved. In other words, there is no pair of values of x and y that satisfy all three equations simultaneously.

Geometrically, this means that the system of equations represents three planes in three-dimensional space. However, these planes do not intersect at a common point, so there is no solution to the system.

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The Selling price of a book with a retail of R 100 and R 88 will be 99.625 and 87.625 respectively.

The selling price of a good or service is the final cost to the seller, or what the buyer actually pays. A commodity or service in a specific amount, weight, or measurement can be exchanged.

It is one of the most crucial things for a business to decide. It is significant since it determines whether or not it will survive. Sales of a product are directly impacted by its price.

According to the question,

Discount = 3/8 of the retail price.

Now,

When retail price is 100,

Selling price [tex]= 100-3/8[/tex]

[tex]=99.625[/tex]

When retail price is 88.

Selling price [tex]= 88-3/8[/tex]

[tex]=87.625[/tex]

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An inverse relationship is also known as a negative relationship, because the correlation coefficient, is negative in an inverse relationship. Correct option is B.

An inverse relationship is a type of relationship between two variables in which they move in opposite directions. As one variable increases, the other variable decreases. In other words, when one variable changes, the other variable changes in the opposite direction.

For example, in the context of physics, the distance between two objects and the gravitational force between them have an inverse relationship. As the distance between the objects increases, the gravitational force between them decreases, and vice versa.

An inverse relationship is also known as a negative relationship. This is because the correlation coefficient, which measures the strength and direction of the relationship between two variables, is negative in an inverse relationship.

A correlation coefficient of -1 indicates a perfect inverse relationship, while a correlation coefficient of 0 indicates no relationship, and a correlation coefficient of 1 indicates a perfect positive relationship.

In contrast, a direct relationship, also known as a positive relationship, is a type of relationship between two variables in which they move in the same direction. As one variable increases, the other variable also increases, and vice versa.

In summary, an inverse relationship is a negative relationship in which two variables move in opposite directions, while a direct relationship is a positive relationship in which two variables move in the same direction.

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The sequence 3, 18, 108, 648, ..... is a geometric sequence.

The sequence 3.9, 19.5, 97.5, -487.5, ..... is a geometric sequence.

The sequence 1.1, -2.2, 4.4, -8.8, ..... is a geometric sequence.

The sequence 4, 20, 4, 20, ..... is not a geometric sequence.

In Mathematics, the nth term of a geometric sequence can be calculated by using this mathematical expression:

aₙ = a₁rⁿ⁻¹

Where:

Next, we would determine the common ratio as follows;

Common ratio, r = a₂/a₁ = a₃/a₂

Common ratio, r = 18/3 = 108/18

Common ratio, r = 6 = 6 (geometric sequence).

Common ratio, r = -19.5/3.9 = 97.5/-19.5

Common ratio, r = -5 = -5 (geometric sequence).

Common ratio, r = -2.2/1.1 = 4.4/-2.2

Common ratio, r = -2 = -2 (geometric sequence).

Common ratio, r = 20/4 = 4/20

Common ratio, r = 5 = 0.2 (not a geometric sequence).

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The linear inequality that is graphed with y > –x – 2 to create the given solution set is D. y < x + 1

One of the line is having the y intercept -2 and slope -1 having the equation y=-x-2. The shaded region is having the inequality y>-x-2.

The other line is having the y intercept 1 and slope of 1. Hence equation of line is y=x+1.

The shaded part is above the line .The inequality region is represented by the inequality y <x+1.

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Which linear inequality is graphed with y > –x – 2 to create the given solution set?

A=y > x + 1

B=y < x – 1

C=y > x – 1

D=y < x + 1

Answer:

Step-by-step explanation:

We know that the hypotenuse is 20m and one leg is 12m.

Pythagorean Theorem= a^2 + b^2 = c^2

12^2 + b^2 = 20^20

144 + b^2 = 400

b^2 = 256

Square root of 256 = 16

Kenji and Tori are 16 meters away from each other.

Answer: Let's call the length of the main supporting arm AP = x.

We can use the Pythagorean theorem to find the length of the cable dropping from point A to the ground:

c^2 = x^2 + (46 - 96 + 215)^2

c^2 = x^2 + (175 - 50)^2

c^2 = x^2 + 125^2

c^2 = x^2 + 15625

Since the angle between the main supporting arm and the horizontal is 55°, we can use the trigonometric relationship between the length of the opposite side (the cable) and the length of the adjacent side (the main supporting arm) to find x:

tan 55° = c / x

x / c = tan 55°

x / 215 = tan 55°

x = 215 * tan 55°

The value of x can be calculated using a scientific calculator or by using a table of tangent values. To the nearest centimetre, x = 204 cm.

Step-by-step explanation: