Suppose your teacher accidentally gives you a multiple-choice calculus test, instead of an Algebra 2 test. There are 40 true-false questions, and you and your classmates answer the questions randomly. The probability of getting an answer correct is 1/2 . You can use 1/2 as the population proportion.
Develop a simulation for answering the 40 questions. Record your results.

Answer:

When we rotate a figure of 90 degrees clockwise, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.

Step-by-step explanation:

I THINK IT HELPS YOU

Answer:

B. 4:3

Step-by-step explanation:

Divide both by 3:

12/3 = 4

9/3 = 3

4:3

The equation of the given line y=1/2 x-2 in standard form is x - 2y - 4 = 0

Equation of a line in standard form can be expressed as:

Ax + By + C = 0

Where:

A and B are called coefficients.

x and y are called variables of degree 1 or linear variables.

C is called a constant.

In the above equation, the values of A, B, and C should be integers, not fractions or decimals. Furthermore, "A" needs to be a positive number.

The given equation is:

y = 1/2 x - 2

Notice that the coefficient of x is not an integer, therefore we need to multiply the equation by 2.

2y = 2 . (1/2)x  - 2 . 2

2y = x - 4

Subtract x from both sides
2y - x = x - 4 - x

-x + 2y = -4

Add 4 to both sides

-x + 2y + 4 = -4 + 4

-x + 2y + 4 = 0

Note that the coefficient of x is negative, hence, we need to multiply both sides by (-1).

x - 2y - 4 = 0

This is the standard form of the given line.

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A scatter plot is a series of points plotted on horizontal and vertical axes. If there is no correlation between variables, the points appear randomly scattered on the coordinate plane. If the correlation is high, the points will be clustered around the straight line. A scatter chart is a data visualization tool that helps show trends.

The scatter plot shows not only the magnitude of the correlation, but also the direction of the correlation.

As the vertical (or Y-axis) variable increases, the correlation is positive as the horizontal (or X-axis) variable increases.

The correlation is negative if the y-axis variable decreases and the x-axis variable increases, or vice versa.

The correlation is zero if none of the above criteria can be established.

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Polygon Q is a scaled replica of Polygon P with a factor of half. The area of Polygon Q is a proportion of the area of Polygon P= 1/4

A polygon is a plane figure characterized by a fixed amount of straight-line segments joined to form a closed polygonal chain. A polygon is a bounded plane region, a bounding circuit, or both. The segments of such a polygonal circuit are referred to as its edges or sides.

Polygons are made up of triangles, hexagons, pentagons, and quadrilaterals. The name indicates how many sides the form has. A triangle, for example, has three sides, whereas a quadrilateral has four.

We are aware of this.

If the areas of two figures were similar, the ratio of their areas equals the scale factor squared.

Let

z → the scale factor

x → polygon q’s area

y → polygon p’s area

So,

Z² = x/y

Z is given as  = 1/2

Putting value we get:

(1/2)² = x/y

(1/4) = x/y

x = 1/4(y)

The  fraction of Polygon P's area = 1/4

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Answer:

-83x - 18

Step-by-step explanation:

simplify

7x+9(-10x - 2)

multiply by 9

9(-10x - 2)

-90x -18

7x- 90x -18

-83x -18

The given equation;9(x+7)-6(x-3)=99 then the value of x in the given equation is 6.

The solution of an equation refers usually to the values of the variables involved in that equation which if substituted in place of those variable would give a true mathematical statement.

For a solution , it must satisfy all the equations of that system, and as all points satisfying an equation are in their graphs, so solution to a system is the intersection of all its equation at single point

WE need to Solve the given equation;

9(x+7)-6(x-3)=99 .

Open the bracket;

9(x+7)-6(x-3)=99

9x + 63 - 6x + 18 = 99

Collect the like terms then solve it;

9x + 63 - 6x + 18 = 99

9x  - 6x + 63+ 18 - 99 = 0

3x - 18 = 0

3x = 18

Divide by 3 on both sides the n we get;

x = 6

Therefore, the value of x in the given equation is 6.

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Answer:

What do you mean by that?

Step-by-step explanation:

Answer:

Here, at Brainly!!

Step-by-step explanation:

Here, we can solve any questions or problems that you have! We'll always keep you updated, and make sure that all your questions are answered! If you have any questions, try asking questions, and be ready to receive and answer soon!!!

Thank You,

I really hope this helps

The slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

A line's steepness and direction are determined by the slope of the line. Without actually using a compass, determining a line's slope in a coordinate plane allows one to anticipate whether a line is parallel, perpendicular, or not.

The change in a line's y coordinate relative to its change in x coordinate is referred to as the line's slope. Δy is the net change in the y coordinate, while Δx is the net change in the x coordinate.  

Therefore,

m =  y₂-y₁/x₂-x₁ (where m denotes the slope) can be used to express how the y coordinate changes in relation to the x coordinate.

Be aware that tan ∅ = y/x

We also refer to this tan as the line's slope

We know that slope, slope = m = [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex]

For the pairs of points (-1/2 ,-1/2) and (-3,-4)

⇒ m = [tex]\frac{-4- (-1/2)}{-3 - (-1/2)}[/tex]

⇒ m = [tex]\frac{-7/2}{-5/2 }[/tex]

⇒ m = 7/5

⇒ m = 1.4

Hence, the slope of the line with points (-1/2 ,-1/2) and (-3,-4) is 1.4

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Jonathan made $228 in these two days of working on Monday and Tuesday.

Fractions indicate pieces of a whole or group of objects. A fraction is divided into two pieces. The numerator is the number at the top of the line. It specifies how many equal pieces of the total or collection are taken. The number below the line is referred to as the denominator. It displays the total number of equal portions into which the whole is divided or the total number of the same objects in a collection.

Given that he makes $16 per hour

On Monday he made =  5 1/2 × 16

                                    = $88

On Tuesday he made = 8 3/4  × 16

                                     = $140

Total money he made = 140 + 88

                                     = $228

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By elimination, the solution of the system of equations, 3x + 2y = 6 and 3x + 3 = y, is (0 , 3).

A system of equations is a set of two or more equations which includes common variables. To solve system of equations, we must find the value of the unknown variables used in the equations that must satisfy all the equations.

There are three methods that can be used to solve system of equations.

1. Elimination

2. Substitution

3. Graphing

Using the elimination method, given two equations in x and y, a variable should be eliminated by adding/subtracting the two equations.

Rearranging equation 2 to standard form,

3x + 3 = y     (equation 2)

3x - y = -3

Subtracting the two equations will eliminate the variable x.

3x + 2y = 6     (equation 1)

3x  -   y = -3     (equation 2)

0x + 3y = 9

y = 3

Substitute the value of y to any of the two equations and solve for x.

3x + 2y = 6     (equation 1)

3x + 2(3) = 6

3x = 6 - 6

3x = 0

x = 0

Hence, the solution of the system of equations is (0 , 3).

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Line segment FG is not tangent to circle E.

What is Tangent:

The tangent is defined as a line touching circles or an ellipse at only one point. Suppose a line touches the curve at P, then the point “P” is called the point of tangency. In other words, it is defined as the line which represents the slope of a curve at that point.

What is Line Segment:

A line segment has two definite endpoints in a line. The length of the line segment is fixed, which is the distance between two fixed points. The length here can be measured by metric units such as centimeters (cm), millimeters (mm) or by conventional units like feet or inches.

Now, According to the problem

The tangent line to a circle makes an angle of 90 degrees with the radius.

If |FG| is tangent to circle E.

then,

30^2 = 26^2 + 17^2

which is not true.

Therefore, line segment FG is not tangent to circle E.

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A radius is a segment with endpoints at the center and on the circle. Here, NC, ND, NE or NF is radius.

In classical geometry, a radius of a circle or sphere is any of the line segments connecting its center to its perimeter; in more modern usage, it is also their length. The term comes from the Latin word radius, which means both ray and spoke of a chariot wheel.

A circle's radius is the distance between its center and any point on its circumference. The letters 'R' or 'r' are commonly used to represent it. In almost all circle-related formulas, this number is significant. The radius of a circle is used to calculate its area and circumference.

A radius is a segment with ends at the circle's center and on the circumference. Radius can be NC, ND, NE, or NF in this case.

The complete question is:

Identify each

c. a radius

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Answer: c=26

Step-by-step explanation:

x= c

a^2 + b^2 = c^2

24^2 +10^2 = c^2

Take the square root of all the values

c=26

Answer:26

Step-by-step explanation:

pythagorean theorem

c=[tex]\sqrt{a^{2} +b^{2} }[/tex]

a=24,b=10

[tex]24^{2}[/tex]=576, [tex]10^{2}[/tex]=100

576+100=676

[tex]\sqrt{676}[/tex]=26

Answer:

2x^2

Step-by-step explanation:

x

The average rainfall for the rest of the year need to be per month is 1.31 inches per month.

According to the statement

We have to find that the average rainfall for the rest of the year.

So, For this purpose, we know that the

The average value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

From the given information:

an average monthly rainfall of 0.87 inches per month. and the average rainfall for the first three months was 2.02 inches per month and that the average rainfall for the next 7 months was 0.25 inches.

Then

An average monthly rainfall per month = 0.87 inches

An average monthly rainfall per year = 0.87 *12

An average monthly rainfall per year = 10.44 inches

Then

The average rainfall for the first three months was 2.02 inches per month

The average rainfall for the first three months = 2.02 *3

The average rainfall for the first three months = 6.06

And

The average rainfall for the next seven months = 0.25*7

The average rainfall for the next seven months = 1.75

Then

The remaining average rainfall in one year = average monthly rainfall per year - (average rainfall for the first three months + average rainfall for the next seven)

The remaining average rainfall in one year = 10.44  - (6.06 + 1.75)

The remaining average rainfall in one year = 10.44  - (7.81)

The remaining average rainfall in one year = 2.63

And then

The remaining average rainfall in 2 months = 2.63

The remaining average rainfall in 2 months per month = 2.63/2

The remaining average rainfall in 2 months per month = 1.31.

So, The average rainfall for the rest of the year need to be per month is 1.31 inches per month.

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Answer:

Step-by-step explanation:

Answer:

C = 32 - F

Step-by-step explanation:

that is the solution above

New location of a particle moves in a velocity field at time 6.01 is given by: (7.49, 2.11).

Think about the fluid flow's steady-state velocity vector field, or v. The instantaneous velocity of the fluid particles (atoms or molecules) as they pass through the point (x,y) is measured by the vector v(x,y).

The vector field used to quantitatively characterize the motion of a continuum in continuum mechanics is called the flow velocity in fluid dynamics, macroscopic velocity in statistical mechanics, or drift velocity in electromagnetism. The flow speed is a scalar and is represented by the length of the flow velocity vector.

It is also known as a velocity field, and a velocity profile is what it is known as when it is measured along a line.

Everything about a fluid's motion is efficiently described by its flow velocity.

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Answer:

y = -2  for  -2 < x ≤ -1

Step-by-step explanation:

Ceiling function

[tex]f(x) = \left\lceil x \right\rceil[/tex]

The least integer that is greater than or equal to x.

Given ceiling function:

[tex]f(x) =\left\lceil x-1 \right\rceil[/tex]

Evaluate values in the given intervals.

[tex]\boxed{-4 \leq x < -3}[/tex]

[tex]\implies f(-4) =\left\lceil -4-1 \right\rceil=\left\lceil -5 \right\rceil=-5[/tex]

[tex]\implies f(-3.1) =\left\lceil -3.1-1 \right\rceil=\left\lceil -4.1 \right\rceil=-4[/tex]

[tex]\boxed{-2 \leq x < -1}[/tex]

[tex]\implies f(-2) =\left\lceil -2-1 \right\rceil=\left\lceil -3 \right\rceil=-3[/tex]

[tex]\implies f(-1.1) =\left\lceil -1.1-1 \right\rceil=\left\lceil -2.1\right\rceil=-2[/tex]

[tex]\boxed{-2 < x \leq -1}[/tex]

[tex]\implies f(-1.9) =\left\lceil -1.9-1 \right\rceil=\left\lceil -2.9 \right\rceil=-2[/tex]

[tex]\implies f(-1) =\left\lceil -1-1 \right\rceil=\left\lceil -2 \right\rceil=-2[/tex]

[tex]\boxed{-4 < x \leq -3}[/tex]

[tex]\implies f(-3.9) =\left\lceil -3.9-1 \right\rceil=\left\lceil -4.9 \right\rceil=-4[/tex]

[tex]\implies f(-3) =\left\lceil -3-1 \right\rceil=\left\lceil -4\right\rceil=-4[/tex]

Therefore, the step that is included in the graph of the given ceiling function is:  y = -2  for  -2 < x ≤ -1.

Graph of the parent ceiling function f(x) = ⌈x⌉

The graph of the parent function has open dots at (x, x+1) and closed dots at (x, x). Each segment is joined with a horizontal line (step).

The open dot means the value is not included, whereas the closed dot means the value is included.

To graph the given ceiling function f(x) = ⌈x - 1⌉

(See attachment).

From inspection of the attached graph of the given ceiling function:

This proves that the only step that is included in the graph of the given ceiling function from the given answer options is:  

Answer:

3b - 5 = 6

Step-by-step explanation:

3b - 5 = 6

The equation of the circle x^2 + y^2 - 6x - 2y + 4 = 0 has a radius of √6 and a center located at (3 , 1).

The standard form of the equation of  circle is given by

(x - h)^2 + (y - k)^2 = r^2

where (h , k) is the location of the center and r is the radius of the circle.

On the other hand, the general form of the equation of  circle is given by

x^2 + y^2 + Dx + Ey + F = 0

where D = -2h, E = -2k, and F = h^2 + k^2 -r^2.

If the equation of the circle in general form is x^2 + y^2 - 6x - 2y + 4 = 0, then the coefficients are:

D = -6

E = -2

F = 4

If D = -2h and D = -6, then

-6 = -2h

h = 3

If E = -2k and E = -2, then

-2 = -2k

k = 1

If F = h^2 + k^2 -r^2 and F = 4, then

4 = 3^2 + (1)^2 - r^2

r^2 = 9 + 1 - 4

r^2 = 6

r = √6

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The common ratio of a geometric series with  a₂ = 2/5 and a₅ = 16/135  is r = 2/3 (B)

The formula for the nth term of a geometric series is given by:

a(n) = a(1) . rⁿ⁻¹

Where:

a(1) = first term

r = common ratio

Parameters given:

a(2) = 2/5

a(5) = 16/135

Note that:

a(2) = a.r

a(5) = a.r⁴

Divide a(5) by a(2)

a.r⁴ : a.r = 16/135 : 2/5

r³ = 8/27

r = 2/3     (B)

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According to the given statement;

The difference of 9 and the quotient of a number f and 6 is 5.

the value of f is = -24

A variable is an alphabet or term that stands in for an unknowable quantity, value, or number. Particularly in the case of algebraic expressions or algebra, the variables are used. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

The variable is a quantity that can change or is not fixed. Typically, in algebra, we use the terms "x" and "y" to express an unknown number. However, this is not unique, and we are free to use any alphabet.

According to the given value;

9 - (f÷ 6) = 5

Subtract 9 from both sides.

9 - 9 - (f ÷ 6) = 5 - 9

Simplify.

- (f ÷ 6) = -4

Distribute -1 throughout the parenthesis.

-f ÷ -6 = -4

Multiply both sides by -6.

-f ÷ -6 × -6 = -4 × -6

Simplify.

-f = 24

Divide both sides by -1.

-f ÷ -1 = 24 ÷ -1

Simplify.

f = -24

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Answer:

Hey there fella!

I can do you the 1st and it will help you do the rest

Step-by-step explanation:

[tex]multiply \: 2 \: with \: x + 4 \\ we \: get \: 2x + 8 \\ put \: the \: rest \: equation \\ 2x + 8 + 3 = 8 \\ 2 x + 11 = 8 \\ take \: the \: 11 \: to \: other \: side \: \\ the \: sign \: will \: change \\ 2x = 8 - 11 \\ 2x = 3 \\ 2 \: is \: getting \: multiplied \: with \: x \: so \: it \: will \: be \: divided \: with \: 3 \\ x = \frac{2}{3} \\ x = 1[/tex]

I hope this is clear to you if not ask me questions I will be sure to help!

Answer:

0.7/2=0.35

Step-by-step explanation:

  The ratio between the height of the prisms is 7/3.

  Prisms are geometric bodies or solids that start from the extrusion of a plane figure, and that is the origin of their name, for example, if the base is square, the prism is quadangular.

  A numerical ratio is a constant value that relates a system of two or more variables, it allows us to know how their variations will be as the values change.

  Since prisms are said to be similar, then the ratio of their areas and heights must be proportional, expressed as:

a²/b² = 98/18

a²/b² = 49/9

a/b = 7/3

  The ratio between the height of the prisms is 7/3.

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The line l which is perpendicular to line k has an x intercept of -3.

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a line is:

y = mx + b

where m is the slope and b is the y intercept.

Line k passes through the points (-12, 10) and (6, 1), hence:

Slope = (1 - 10) / (6 - (-12)) = -1/2

Two lines are perpendicular if the product of their slopes is -1. Line L is perpendicular to line k, with y-intercept 6. hence:

Slope of line l = 2

Equation of line l is:

y = 2x + 6

At y = 0:

0 = 2x + 6

x = -3

The line l which is perpendicular to line k has an x intercept of -3.

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Answer: JY=14

Step-by-step explanation:

JA=JY+YA
17=JY+3

17-3=JY+3-3

JY=17-3

JY=14