A game spinner has 8 sections, 3 red, 1 blue, 2 yellow, and 2 green. What is the probability of not spinning a green?

The x-coordinate of the point that the line passes through is x = 0.

We can use the point-slope form of a linear equation to solve this problem.

The slope of the line can be found using the two given points:

slope  (change in y) / (change in x)

slope = (-3 - (-9)) / (12 - x)

slope = 6 / (x - 12)

Now we can use the point-slope form of the linear equation, with the y-intercept of 6:

y - 6 = slope * (x - 0)

Substituting the slope we just found:

y - 6 = (6 / (x - 12)) * x

Simplifying:

y - 6 = 6x / (x - 12)

Multiplying both sides by (x - 12):

y(x - 12) - 6(x - 12) = 6x

Distributing:

xy - 12y - 6x + 72 = 6x

Moving the x terms to one side:

xy - 12y - 12x + 72 = 0

Now we can substitute the y-coordinate of the other given point, (-9), and solve for x:

x(-9) - 12(6) - 12x + 72 = 0

Simplifying:

-9x - 72 - 12x + 72 = 0

-21x = 0

x = 0

Therefore, the x-coordinate of the point that the line passes through is x = 0.

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Answer:

step 1, c

Step-by-step explanation:

he was wrong in step 1.

when factoring out (x-4) and (x-2), you have to distribute x*x, x*-2, -4*x, and -4*-2

if you do it you get x^2 - 2x -4x + 8

the correct way to factor will be (x-4)(x+2)

when you factor out you will get the original equation you started with.

First, since the diameter of the pool cover is 18ft, the circumference can be found with the following equation:

then, the circumference is:

next, we can find the area with the following formula:

since the radius of the pool cover is 9 ft, we have:

therefore, the circumference is 56.52ft and the area is 254.34ft^2

To find the integer value of n that results in exactly 560 lattice points strictly in the interior of the triangle, use the equation: n = (560 + 2)/8.

This equation is derived by counting the lattice points on each side of the triangle, starting with the side between points (1,1) and (9,1). This side has a length of 8, so it contains 8 lattice points, including the two endpoints. The remaining sides have lengths of 8 + n and 8 + n, which combined have 8 + 2n lattice points. The total number of lattice points in the triangle is then 8 + 8 + 2n = 16 + 2n.  

Solving for n when the total number of lattice points is 560 gives us n = (560 + 2)/8. Therefore, the integer value of n is 70.

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Answer:

Let's use a system of equations to solve the problem.

Let x be the number of regular admission tickets sold, and y be the number of fast pass tickets sold.

From the problem, we know that:

x + y = 104 (equation 1)

and

8x + 22y = 1280 (equation 2)

We can use equation 1 to solve for x in terms of y:

x = 104 - y

Substituting this expression for x into equation 2, we get:

8(104 - y) + 22y = 1280

Simplifying and solving for y, we get:

832 - 8y + 22y = 1280

14y = 448

y = 32

So the student sold 32 fast pass tickets.

To find the number of regular admission tickets sold, we can substitute y = 32 into equation 1 and solve for x:

x + 32 = 104

x = 72

So the student sold 72 regular admission tickets.

Therefore, the student sold 72 regular admission tickets and 32 fast pass tickets.

Answer:

slope: 5

y-intercept: 0

Equation: \(y=5x\)

Step-by-step explanation:

First, lets find the slope.

Every time we have an increase in \(x\), we have an increase in \(y\).

To find that change, we will divide the changes in \(y\) using two points.

I will be using the points \((1,5), (2,10)\)

\(\frac{10-5}{2-1}\)

\(=5/1\)

\(=5\)

Therefore, the slope is 5.

Next, lets find the y-intercept. The y-intercept is where the line goes through the y-axis.

We can go back 1 x-value (since when x = 1, y = 5)

Subtracting our slope (5) from the y-value for 1, we get:

\(y=0\)

Therefore, the y-intercept is 0.

Finally, lets find the equation.

Linear equations are in the form \(y=mx+b\), where m is the slope and b is the y-intercept.

Plugging those values in we get: \(y=5x+0\)

Which will be simplified down to \(y=5x\)

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Answer:

42

Step-by-step explanation:

4+4+4+4+6+6+6+6 = 42

Step-by-step explanation:

1. False

2. True

3. True

4. False

Answer:

a. false

b. true

c. true

d. false

Step-by-step explanation:

hope this is right

(if not tell me in the comments and i will try to help you best i can)

The area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

Area of regular polygon = 1/2 × apothem × perimeter

perimeter = (s)side length of octagon × (n)number of side.

apothem = s/[2tan(180/n)].

11 = s/[2tan(180/12)]

s = 11 × 2tan15

s = 5.8949

perimeter = 5.8949 × 12 = 70.7388

Area of dodecagon = 1/2 × 11 × 70.7388

Area of dodecagon = 389.0634 in²

Area of pentagon = 1/2 × 5.23 × 7.6

Area of pentagon = 19.874 in²

Therefore, the area of the regular polygons with 12 sides(dodecagon) and 5 sides (pentagon) are 389.06 in² and 19.87 in² respectively.

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Answer:

22 degree rotation

Step-by-step explanation:

Answer:

the correct answer is 90•

Step-by-step explanation:

90-x =180

ATQ,

x =180-90

= 90•

Answer:

15 batches of cookies

Step-by-step explanation:

We need to find out how many third cups do into 5 cups. We can do this by 5 ÷ 1/3

When dividing fractions, use KFC:

Therefore, 5 ÷ 1/3 = 5 × 3/1 which is 15 batches of cookies

Hope this helps!

The point at which the line passing through the points p(1, 0, 6) and q(3, −1, 3) intersects the plane given by the equation x y − z = 15. is  (2,0,-1/2)

Given that:

Points are:

p(1, 0, 6) and q(3, −1, 3)

Lets recall the equation of line given 2 point:

\(\frac{x - x_1}{X_2 -x_1} = \frac{y -_1}{y_2 -y_1} = \frac{z - z_1}{z_2 -z_1}\)

Here we have (x₁, y₁, z₁ ) = (1,0,6) and  (x₂ , y₂, z₂) = (3,-1,3)  

We have the equation of line as,

   x - 1/ 3-1 = y - 0/ (-1) - 0 = z - 6/3-6

⇒ x−1/2 = y/-1 = z-6/ -3

Point on the line can be written as (2p+1,−p, -3p+6)

Now to find intersection with xy plane we put z=0,

-3p+6 = 0

⇒ p = 2

2p+ 1 = 0

⇒ p = -1/2

Point of intersection after putting p is (2,0,-1/2).

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Answer:

$126.33

Step-by-step explanation:

$379/3 = $126.33

Answer:

6/5 or A. 1 1/5

Step-by-step explanation:

Hey there!

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

6/5 or 1 1/5 or A

Step-by-step explanation:

In order to simplify this, you need to add the numerators but not the denominators since they are the same

4+2=6

So this shows that the answer is 6/5 or 1 1/5

Answer:

On the first one, multiply 6 by 3 (18) and subtract from 27 = $11

Step-by-step explanation:

$11 divided by three

About $3.66 Per day. I don't know how to do those graphs you doin but that's the answer to the question itself. Hope I helped?

The second one:

Divide 77 by 7 days (11)

Then subtract 4 from that (which gives you 7) because you need to know how much water is used on the flowers, not the shrubs. So, the answer should be 7. Correct me if I'm wrong, people.

The presence of a cycle in a graph with 20 vertices, 18 edges, and at least 2 components does not affect the number of connected components. The existence of a cycle implies the presence of an edge connecting the components, ensuring that all such graphs have exactly one cycle and the same number of connected components.

The existence of a cycle in the graph does not affect the number of connected components in the graph.

This is because a cycle is a closed loop within the graph that does not connect any additional vertices outside of the cycle itself.

Let's assume that the graph G has k connected components, where k >= 2. Each connected component is a subgraph that is disconnected from the other components.

Since there is a minimum of 2 components, let's consider the case where k = 2.

In this case, we have two disconnected subgraphs, each with its own set of vertices. However, we need to connect all 20 vertices in the graph using only 18 edges.

This means that we must have at least one edge that connects the two components together. Without such an edge, it would not be possible to form a cycle within the graph.

Therefore, the existence of a cycle implies the presence of an edge that connects the two components together. Since this edge is necessary to form the cycle, it is guaranteed that there will always be exactly one cycle in the graph.

Consequently, regardless of the number of components, the graph will always have exactly one cycle and the same number of connected components.

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The exact length of the curve y=ln[(e^x+1)/(e^x-1)], a ≤ x ≤ b, is equals to the ln[( eᵇ - e⁻ᵇ )/ ( eᵃ - e⁻ᵃ)].

The exact length of curves implies the length of arc of curve. Arc length is the distance between two points along a section of a curve, formula

Arc length = ₕ∫ᵏ√( 1 + ( y')² dx , h≤x≤k

We have a curve , y = ln[ (eˣ + 1) /(eˣ - 1) ] , a≤x≤b , a> 0

firstly, determine the first derivative of y with respect to x ..

dy/dx = y' = [ 1/(eˣ +1) /(eˣ -1)] d/dx (( eˣ + 1) /(eˣ -1) )

( apply chain rule )

= (eˣ -1 )/(eˣ +1 )[{(eˣ -1) eˣ - ( eˣ +1)eˣ}/(eˣ - 1)²]

( using quotient rule)

= (eˣ -1 )/(eˣ +1 )[(e²ˣ - eˣ - e²ˣ - eˣ)/(eˣ - 1)²]

= (eˣ -1 )/(eˣ +1 )[(- 2eˣ)/(eˣ - 1)²]

= -2eˣ /(eˣ -1 )(eˣ +1 )

dy/dx = - 2eˣ /e²ˣ -1

so, (dy/dx)² = (- 2eˣ /(e²ˣ -1) )²

= 4e²ˣ /(e²ˣ -1 )²

and 1 + (dy/dx)² = 1 + {4e²ˣ /(e²ˣ -1 )² }

= {(e²ˣ -1 )² + 4e²ˣ}/(e²ˣ -1 )²

= (e⁴ˣ + 1 - 2e²ˣ + 4e²ˣ)/(e²ˣ -1 )²

= ( e⁴ˣ + 1 + 2e²ˣ )/(e²ˣ -1 )²

1 + (dy/dx)² = (e²ˣ + 1)²/(e²ˣ -1 )²

Now plugging the value in arc length formula,

Arc length = ₐ∫ᵇ √{1 + (dy/dx)²} dx

= ₐ∫ᵇ √{(e²ˣ + 1)²/(e²ˣ -1 )²} dx

= ₐ∫ᵇ√{(e²ˣ + 1)/(e²ˣ -1 )}² dx

= ₐ∫ᵇ {(e²ˣ + 1)/(e²ˣ -1 )} dx

= ₐ∫ᵇ[eˣ(eˣ + e⁻ˣ)/eˣ(eˣ - e⁻ˣ )] dx

= ₐ∫ᵇ[(eˣ + e⁻ˣ)/(eˣ - e⁻ˣ )] dx

Arc length= ₐ∫ᵇ(cosh x)/(sinh x)dx ( using hyperbolic functions formulas )

let sinh x = t => cosh xdx = dt

and when x = a => t = sinh a

when x = b => t = sinh b

so, arc length = ₛᵢₙₕ ₐ∫ˢᶦⁿʰ ᵇ (1/t) dt

= [ ln( sinh b ) - ln(sinh a) ]

= ln( sinh b/ sinh a)

Arc length= [( eᵇ - e⁻ᵇ )/ ( eᵃ - e⁻ᵃ)]

Hence, length of curve is ln[( eᵇ - e⁻ᵇ )/ ( eᵃ - e⁻ᵃ)].

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Step-by-step explanation:

\(11=8+2+1=2^3+2^1+2^0=\bold1\cdot2^3+\bold0\cdot2^2+\bold1\cdot2^1+\bold1\cdot2^0\\\\11_{10}=\bold{1011}_2\)

The value of the fourth element of the series is 13.

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

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Answer:

Step-by-step explanation:

The value of the fourth element of the series is 13.

How to determine the value of an element of the series by using recurrence formulas

In this problem we must use a recurrence formula and a initial value to derive the fourth element of the series. Recurrence formulas are expressions that calculate succesive elements of a series in terms of its previous elements.

Now we proceed to find the value of the fourth element of the series:

n = 2

a₂ = a₁ + 1

a₂ = 10 + 1

a₂ = 11

n = 3

a₃ = a₂ + 1

a₃ = 11 + 1

a₃ = 12

n = 4

a₄ = a₃ + 1

a₄ = 12 + 1

a₄ = 13

The value of the fourth element of the series is 13.

Hope the above helps you......

The required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750.

The correct option is A.

What is inequality?

inequality, When two integers or algebraic expressions are stated to be greater than, greater than or equal to, less than, or less than or equal to each other in order.

Assuming that x is the number of adults and y is the number of campers, the question asks us to create a system of inequalities to reflect the circumstance.

There is room for 200 individuals, as we are informed.

As a result, the overall population, or the sum of the number of adults and the number of campers, or x + y, should be fewer than or equal to 200.

this gives us:

x + y ≤ 200.

According to the information provided, an adult will cost $4 and a camper $3, for less the or equal to $750.

This gives us:

4x + 3y ≤ 750.

The total price, which is equal to or less than 750, should therefore be the sum of the prices for all adults and campers combined, or 4x + 3y ≤ 750

the required system of inequalities is x + y ≤ 200 and 4x + 3y ≤ 750.

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I understand that the question you are looking for is:

A summer camp cookout is planned for the campers and their families. There is room for 200 people. Each adult costs $4, and each camper costs $3. There is a maximum budget of $750. Write the system of inequalities to represent this real-world scenario, where x is the number of adults and y is the number of campers.

A. x + y ≤ 200 and 4x + 3y ≤ 750

B. x + y ≤ 750 and  4x + 3y ≤ 200

C. x + y ≤ 200 and 3x + 4y ≤ 750

D.  x + y ≤ 750 3x + 4y ≤ 200

A consumer loan of $40,000 with a 15.8% interest rate will require monthly payments over a period of 2 years. The total amount to be paid, including both principal and interest, will be approximately $45,380.

To calculate the monthly payments, we need to determine the total amount to be paid over the loan period, including the principal amount and the interest. The formula used for calculating equal monthly installments is:

M = P * (r * (1 + r)^n) / ((1 + r)^n - 1)

Where:

M = Monthly payment

P = Principal amount

r = Monthly interest rate

n = Number of monthly payments

In this case, the principal amount (P) is $40,000, the interest rate (r) is 15.8% per year, and the loan duration (n) is 2 years (24 months).

First, we convert the annual interest rate to a monthly rate by dividing it by 12: 15.8% / 12 = 0.0132.

Next, we substitute the values into the formula:

M = 40,000 * (0.0132 * (1 + 0.0132)^24) / ((1 + 0.0132)^24 - 1)

Calculating this formula gives us the monthly payment (M) of approximately $1,907.42.

To find the total amount to be paid, we multiply the monthly payment by the number of payments: $1,907.42 * 24 = $45,778.08. However, this includes both the principal and the interest. Subtracting the principal amount ($40,000) gives us the total interest paid: $45,778.08 - $40,000 = $5,778.08.

Therefore, the total amount to be paid, including both principal and interest, will be approximately $45,778.08.

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Answer:

i believe that o = 72 and I cant see the other number half of the picture is cut off

Step-by-step explanation:

Answer:

Step-by-step explanation:

These look like congruent triangles.. and since I can't see the whole picture I'll just go with that they are

so 70 * x = 85

x = 43/35   (1.22857)

n= 43/35   something 3  ft.... I can't see the whole number

maybe it's 63 .. if so then the answer is 77.4

if not.. just plug what ever number is there into   n = x * 43/35    where x is the number that matches n on the other triangle

o =43/35 * 90 = 110.57

To find an equation of the line that is tangent to the graph of the function f(x) = x^2 and parallel to the line 4x - y + 4 = 0, we need to determine the slope of the tangent line. An equation of the line that is tangent to the graph of f(x) = x^2 and parallel to the line 4x - y + 4 = 0 is 4x - y = -4.

First, let's rewrite the given line equation in slope-intercept form (y = mx + b):

y = 4x + 4

Comparing this equation with the standard form y = mx + b, we see that the slope of the given line is m = 4.

The slope of the tangent line to the graph of f(x) = x^2 will be equal to the derivative of f(x) with respect to x at the point of tangency.

Taking the derivative of f(x) = x^2, we have:

f'(x) = 2x

Now, we set the derivative equal to the slope of the given line (m = 4):

2x = 4

Solving for x, we find:

x = 2

Substituting this value of x back into the original function, we get:

f(2) = (2)^2 = 4

Therefore, the point of tangency is (2, 4).

Now, since the tangent line is parallel to the given line, it will have the same slope of m = 4.

Using the point-slope form of a line, we can write the equation of the tangent line:

y - 4 = 4(x - 2)

Expanding and rearranging the equation, we have:

y - 4 = 4x - 8

Finally, we can rewrite it in the standard form:

4x - y = 4 - 8

Simplifying further, we get:

4x - y = -4

Therefore, an equation of the line that is tangent to the graph of f(x) = x^2 and parallel to the line 4x - y + 4 = 0 is 4x - y = -4.

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Answer:

3 and 5

Step-by-step explanation:

order of operation

step 1

look at problem and see if there is a number that occurs like 2-3+x=4-3+x

step 2 your done

Answer:

x = 65 y =65 z = 65

Step-by-step explanation:

∠x = ∠y because they are subtended by the same arc

only options that have x and y = each other is 1 and 3

it's definitely not 1 because 50, 50 and 50 make 150 and triangles = 180

so it's 3

50 + 65 + 65 = 180

Answer:

When y = 5; x = 2

Step-by-step explanation:

What we have to do here is to first go to the point y = 5 on the y-axis

Now, the next thing is to trace this to the plot

The tracing will meet the plot at a point

At this point, we can now drop a line to the x-axis

By this, we can get that at y = 5; then x = 2

Now, we want to check the validity from the linear equation given

That would be;

y = -x + 7

y = -2 + 7

y = 5

This holds according to the linear equation given