Use the points (-3, 5) and (8, -17) to write an equation in standard form (show all work)

You need to draw at least 5 cards to be sure to get three cards of the same denomination. The reason is that there are 13 different denominations and 5 choose 3 = 10 ways to choose 3 cards out of 5. So, in 5 cards, there will be at least one set of three cards with the same denomination.

Each denomination (number value) has 4 cards in a standard deck of 52 playing cards. When you draw 5 cards, you have at least 4 cards of the same denomination (number value), or you have at least 2 pairs of the same denomination, or you have 3 cards of one denomination and 2 of another. In the first case, you already have 3 cards of the same denomination, so you're done. In the second case, you can choose any one pair to be your set of three cards with the same denomination. In the third case, you can choose the three cards of one denomination to be your set. In all cases, you are guaranteed to have at least 3 cards of the same denomination after drawing 5 cards.

Therefore, to guarantee getting three cards of the same denomination, you need to draw at least 5 cards.

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Answer:

A. 10

Step-by-step explanation:

The correct way to solve the equation is:

N - 7/7 = 8

N = 8 + 7/7

N = 8 + 1

N = 9 + 1

N = 10

So the value of N is 10.

The angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.

To find the angle in radians, we need to know the distance that the tire covers and convert it to radians.

The distance covered by the tire can be found by multiplying the circumference of the tire by the number of rotations it makes. The circumference of the tire can be calculated as follows:

C = 2πr

where r is the radius of the tire

Since the diameter is given, the radius can be found by dividing the diameter by 2:

r = diameter/2

So,

C = 2π × (diameter/2) = π × diameter

The number of rotations can be found by dividing the distance covered by the tire by the circumference:

distance covered = 60,000 miles

1 mile = 5280 feet

distance covered = 60,000 × 5280 feet

rotations = distance covered/circumference

Using the above equations, we can find the angle (in radians) through which the tire rotates during the warranty period as follows:

angle = rotations × 2π

angle = (60,000 × 5280/(π×2.0)) × 2π = 3.168 × 10⁸ radians

So, the angle through which one of these tires will rotate during the warranty period is approximately 3.168 × 10⁸ radians.

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The financial save at least $300 per month and allocate $50 per month towards a new computer.

A budget that allows you to save at least $300 per month with your new net income of $2,190. Let's adjust expenses to meet your financial goals.

Old Budget:

Net Income: $1,850

Expenses:

Rent: $600

Car payment, car insurance, and gas: $475

Utilities, phone, and Internet: $230

Groceries: $300

Entertainment: $50

Renters insurance: $20

Discretionary spending: $75

Savings: $100

New Budget:

Net Income: $2,190

Expenses:

Rent: $600 (No change)

Car payment, car insurance, and gas: $475 (No change)

Utilities, phone, and Internet: $230 (No change)

Groceries: $300 (No change)

Entertainment: $50 (No change)

Renters insurance: $20 (No change)

Discretionary spending: $75 (No change)

New computer budget: $50

Savings:

Now,  to save at least $300 per month. So, let's set the savings amount to $300.

Savings: $300

Now, let's adjust the discretionary spending to meet the new savings goal:

Discretionary spending: $75 (old) + $300 (savings goal) - $50 (new computer budget) = $325

The new budget with the changes in mind is as follows:

Net Income: $2,190

Expenses:

Rent: $600

Car payment, car insurance, and gas: $475

Utilities, phone, and Internet: $230

Groceries: $300

Entertainment: $50

Renters insurance: $20

Discretionary spending: $325

New computer budget: $50

Savings: $300

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Graphs can be shifted vertically in both straight and curved lines.

Graphs can be vertically moved in both linear and curvilinear directions. Add or remove a number from the constant to change the equation's graph vertically. G(x) = f(x) + c and G(x) = f(x) - c are the formulas for an upward and a downward shift, respectively.

Given a function f, a new function g(x) = f(x - h) is created, where h is a constant. This new function is a horizontal shift of the original function f. Graph shifts to the right if h is positive. If h is low, the graph will move to the left.

Given a function f(x), a new function g(x) = f(x) + k is created, which is a vertical shift of the original function f(x). The output values all shift outward by k units. The graph will move upward if k is positive. The graph will tilt downward if k is negative.

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Answer:

y = (x - 6)^2 + 10.

Step-by-step explanation:

y = x^2 - 12x + 46

y = (x - 6)^2 - 36 + 46

y = (x - 6)^2 + 10.

In the transformation ABC A'B'C', the preimage of B' is B.

It's a triangle, ABC. ABC is changed so that the resulting image is A'B'C'. It should be noted that there are many other forms of transformations, including dilation, vertical shift, horizontal shift, rotation about a point, reflection on a line, etc.

Corresponding vertices will be matched in all transformations. In other words, A will change to A', B to B', and C to C'.Preimage of B' would just be B itself due to the transformation's ability to maintain image similarity and convert vertices appropriately.

In conclusion, it is B.

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In the transformation ABC A'B'C', the preimage of B' is ____

After 10.01 years, the population will be equivalent to 50000.

Given is that the population of a town can be modeled using the formula as -

{P} = 25000 [tex]$e^{0.03t}[/tex]

For {P} = 50000, we can write -

50000 = 25000[tex]$e^{0.03t}[/tex]

[tex]$e^{0.03t}[/tex] = 2

log{[tex]$e^{0.03t}[/tex]} = log{2}

0.03t log {e} = log{2}

0.03t = log{2}

t = log{2}/(0.03)

t = 10.01 years

Therefore, after 10.01 years, the population will be equivalent to 50000.

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The universal theme of this passage is humanity’s search for meaning in the world.

A universal theme is an idea that applies to everyone regardless of cultural variations or geographic region. frequent subject matters are approaches to connect thoughts across all disciplines.

it's miles a critical concept about the human situation. it is a generalization about lifestyles or human nature; they address simple human issues.

instance: In locating Nemo, the author believes that a person must learn how to consider themselves and others. trace: don't use man or woman names or specific details… hold it regular via the use of “someone” or “one” as an alternative!

The most compelling and widely universal meanings are well-known concepts, thoughts, and notions that nearly every person can relate to, however, do no longer mean identical to any two humans.

Examples of familiar ideas include joy, death, circle of relatives, struggling, love, and beginning.

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To make an equation with fractions simpler we will be required to take up and LCM and cross-multiplication.

When an equation has fractions, there can be a case where each side, the LHS and the RHS, have multiple fractions with different denominators or even whole numbers.

In this case, first, you have to make sure to take an LCM for fractions on each side and make sure each side has only one denominator and all the constants and variables are a part of that fraction.

Then you have to take the denominator from each side and then multiply it with the numerator of the other. For example-

If an equation looks like [2x - 3]/5 = [4x + 8]/7

Here LHS has 5 as the denominator while RHS has 7

Hence, we will take 5 over to the RHS and 7 to LHS to get

7 X [2x - 3] = 5 X [4x + 8]

Now we have gotten our simpler form.

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The statement that is true about Scientific process and method is the scientific process is a continuous process of collecting data and refining hypothesis.  

Studies and researches are done by a scientific method which follows certain standards and protocols. The method starts with an observation, a question is asked why it happens and formulating a hypothesis. Either we can do a controlled experiment to test whether the hypothesis is correct or not, or we can do a non-experimental hypothesis, where experimenting will not be ethical.

The scientific process is a continuous process, which need to be collecting data and refining hypothesis. Even our data support hypothesis, the data might not be true in some cases. So work on a scientific concept is never complete. Even if we have data on causes and effects of a natural phenomena, we could not necessarily predict it every time, example: earthquake. Also, while collecting data, we should be fair in its treatment. We can't take data that only support our hypothesis.

So, the correct statement is option c. Scientific process is a continuous process of collecting data and refining hypotheses.

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A particular practice called "Guess the Pattern" caught my attention as I browsed through my 10-year collection of workouts. You are trying to determine a pattern of five colors that is loosely based on the popular board game Mastermind. With this twist, you get to decide how much feedback you want to get on your predictions.

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Step-by-step explanation:

with each lawn mowed he earns more money so if he makes 3 lawns he makes a profit of 30x3=90 dollars

Answer:

Step-by-step explanation:

The graph that shows the relationship between the number of lawns Chris mows in a week and the amount of money he makes is a linear graph. On the x-axis, the number of lawns mowed would be represented, and on the y-axis, the corresponding amount of money Chris makes would be represented. As Chris makes $30 for each lawn he mows, the graph would be a straight line that goes through the origin (0,0), and for each increase of 1 lawn mowed, there would be a corresponding increase of $30 in the amount of money made.

As for the function f(x) = x + 8 has no values of x where its derivative is equal to 7

A "function" is a mathematical concept that assigns a unique output to each input. The derivative of a function gives us information about how the function is changing at any given point.

In this question, we are asked to find the values of x where the derivative of the function f(x) = x + 8 is equal to 7.

Here we have to solve this problem, we can start by finding the derivative of the function f(x) = x + 8.

The derivative of this function is f'(x) = 1, which means that for every unit increase in x, the function f(x) increases by 1 unit.

Next, we set f'(x) = 7 and solve for x.

This gives us the equation 1 = 7, which is not possible.

Therefore, there are no solutions to this problem and the values of x where f'(x) = 7 do not exist.

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Answer:

The square root of 516 is 22.627416997969522 or approximately 22.63.

The unknown area of A for each shapes are:

Please note that the question no. 6 was unable to be answered because the screenshots provided was not full enough.

To help us on answering these questions, we refer to the unknown area of A as area' and the known area as area. The unknown area's side or base will be noted as base' or side' and the known area's side and base as side or base.

1. Area = 4cm²

Base = 3cm

Base' = 6cm

Area of triangle = 1/2 base x height

4cm = 1/2 (3) h

h = 8/3

base / base' = height / height'

3 / 6 = 8/3 / height'

height' = 16/3

Area' = 1/2 base' x height'

Area' = 1/2 (6) x (16/3)

Area' = A = 16

2. Area = 3cm²

Base = 2cm

Base' = 6cm

Area of triangle = 1/2 base x height

3cm = 1/2 (2) h

h = 3

base / base' = height / height'

2 / 6 = 3 / height'

height' = 9

Area' = 1/2 base' x height'

Area' = 1/2 (6) x (9)

Area' = A = 27

3. Area = 5cm²

Base = 6cm

Base' = 9cm

Area of triangle = 1/2 base x height

5cm = 1/2 (6) h

h = 5/3

base / base' = height / height'

6 / 9 = 5/3 / height'

height' = 5

Area' = 1/2 base' x height'

Area' = 1/2 (9) x (5)

Area' = A = 22.5

4. Area = 58cm²

Base = 20cm

Base' = 10cm

Area of triangle = 1/2 base x height

58cm = 1/2 (20) h

h = 5.8

base / base' = height / height'

20 / 10 = 5.8 / height'

height' = 2.9

Area' = 1/2 base' x height'

Area' = 1/2 (10) x (2.9)

Area' = A = 14.5

5. Area = 18cm²

Length = 6cm

Wide' = 8cm

Area of rectangle = lenght x wide

18 = 6 x wide

wide = 3

Lenght / Length' = Wide / Wide'

6 / Length' = 3 / 8

Lenght' = 16

Area' = Lenght' x wide'

Area' = 16 x 8

Area' = A = 128

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153,9 % d'augmentation

Answer: A: (-2,5). B: (6,3). C: (-3,-7). D: (2,-5). E: (0,-3). F: (-7,0). G: (6,0). H: (0,6).

Step-by-step explanation:

Since the quadrants go as 1, 2, 3, and 4 in a counterclockwise motion starting from the top right, we already know all the point's quadrants. now it's a matter of looking at the points. Hope this helps!

Answer:

D. The mathematical work is correct.

Step-by-step explanation:

The student precisely squares both sides of the equation correct 2x + 11 = 12.5 by multiplying both sides by 2x + 11, resulting in (2x + 11)^2 = (12.5)^2. The student then isolates the variable x by subtracting 11^2 from both flanks of the equation and dividing both sides by 2. This results in x = -9.5. So, the student's solution and the mathematical result are correct.

Answer:

164

Step-by-step explanation:

For given expression x will be equal to 1.

What are expressions?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division. For example, x + y is an expression, where x and y are terms having an addition operator in between. In math, there are two types of expressions, numerical expressions - that contain only numbers; and algebraic expressions- that contain both numbers and variables.

e.g. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression. Mathematical expressions are used to solve complicated puzzles.

Now,

Given expression is m/2=18x-1

where m=33x+1

By putting value of m

33x+1=(18x-1)*2

33x+1=36x-2

3x=3

x=1

Hence,

          For given expression x will be equal to 1.

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a) The relationship among the lengths of the segments formed by the two secants as; (CG+GE)CG = (CH+HD)CH  

b) It possible to find the length of DH based on the Secant-secant theorem

It states that if two secants are drawn from an external point to a circle, then the product of the measures of one secant's external part and that entire secant is equal to the product of the measures of the other secant's external part and that entire secant.

i.e., (CG+GE)CG = (CH+HD)CH   ---(1)

Now we have been given

CG = 3 in

CH = 2 in

GE = 5 in

Substitute these values in equation (1)

(3 + 5) 3 = (2 + DH) 2

24 = 4+ 2DH

DH = 10 in

Therefore, yes it is possible to find DH .

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Answer:

48

Step-by-step explanation:

its correct believe it or not

The length of the diagonal of the rectangle is 11.7 units.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that the area of a rectangle is 44 square units. Its length measures 11 units.

Area = L x W

44  = 11 x W

W = 4 units

D² = W² + L²

D = √ ( 11² + 4 ²)

D = √ ( 121 + 16)

D = 11.7 units'

Therefore, the measure of the diagonal is 11.7 units.

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A two-dimensional surface with all the points of equal value is shown in a contour map for the function f (x, y). It is used to illustrate how the function changes in relation to the two variables.

1. On the two-dimensional coordinate plane, create a grid.

2. Give each of the x and y coordinates a value.

3. Determine the value of f (x, y) for every pair of x and y.

4. Plot the grid points based on the values of f. (x, y).

5. To create the contour map, connect the points with equal values along a curved line.

In a two-dimensional plane, a contour map is a graphical representation of a function that displays all the points with identical values. It is used to illustrate how the function changes in relation to the two variables. Draw a grid on the two-dimensional coordinate plane and give values to the x- and y-coordinates before drawing a contour map for a function f (x, y). Once this is done, determine the value of f (x, y) for each pair of x and y, and plot the points on the grid using those values (x, y). To complete the contour map, draw a curved line connecting the points of equal value. The contour map will display the function's regional extrema as well as any locations where it is rising or decreasing locally. Additionally, it can be used to pinpoint regions of the plane where the function's value is constant. For seeing and comprehending the behaviour of functions of two variables, contour maps are a useful tool.

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The coordinates of the oriented length whose tail has coordinates (1, 2, 3) and whose head has coordinates (3, -2, 7) can be calculated using vector subtraction, which is (2,-4,4) or (-2,4,-4)

Vector subtraction is a method of subtracting one vector from another, resulting in a new vector. The new vector will have the same direction as the vector being subtracted, and a magnitude equal to the difference of the magnitudes of the vectors being subtracted.

In this case, the vector being subtracted is from the tail to the head, so the new vector will point from the head to the tail.

The vector from tail to head can be written as:

Tail to Head = (3, -2, 7) – (1, 2, 3) = (2, -4, 4)

Therefore, the vector from head to tail is:

Head to Tail = – (2, -4, 4) = (-2, 4, -4)

The coordinates of the vector from head to tail are (-2, 4, -4).

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The preimage of B' is B in the given transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object on a plane or coordinate system.

Given that, Δ ABC is transformed into Δ A'B'C',

The corresponding preimages of the vertices are =

A → A'

B → B'

C → C'

Hence, the preimage of B' is B in the given transformation.

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Plot the point (1 and 1/2, 5 ) in the coordinate plane is Attached below.

A pair of numbers called coordinates are used to locate a point or a form in a two-dimensional plane. The x-coordinate and the y-coordinate are two numbers that define a point's location on a 2D plane.

Given,  the point (1 and 1/2, 5 ) in the coordinate plane

Since, Point at x = 1 1/2 the value of y = 5

In coordinate plane,

x = 1 1/2 represents that Point is 1 1/2 units right to the origin point that is (0, 0).

And  y = 5 represents that Point is 5 units upward to the origin point that is (0, 0).

therefore, the graph of (1 1/2 , 5) is attached below.

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An equation that could be used to answer the question above is,

3(x - 6) = 24.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, Three friends went out to lunch. They each started with the same amount of money, and they each spent $6.

Now, They ended with $24 combined so each must have ended with

(24/3) = $8.

Now, Each has ended with $8 and spent $6 so they had a total of (8 + 6)

= $12.

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