Enter the equation of the circle described below.

Center (0, 8), radius = 8

x2 + (y -
)2 =

Answer:

Explained below.

Step-by-step explanation:

In this case we need to determine whether registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election.

(A)

The hypothesis can be defined as follows:  

H₀: The registered voters in rural Minnesota were not more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election, i.e. \(p_{rural} - p_{urban}\leq 0\).  

Hₐ: The registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election, i.e. \(p_{rural} - p_{urban}> 0\).  

(B)

Compute the proportion of sampled registered voters in rural Minnesota that voted in the 2012 Presidential election as follows:

\(\hat p_{rural}=\frac{663}{884}=0.75\)

(C)

Compute the proportion of sampled registered voters in urban Minnesota that voted in the 2012 Presidential election as follows:

\(\hat p_{urban}=\frac{414}{575}=0.72\)

(D)

Compute the total proportion as follows:

\(\hat p=\frac{663+474}{884+575}=0.74\)

Compute the test statistic value as follows:

\(Z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat p(1-\hat p)\times [\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}\)

   \(=\frac{0.75-0.72}{\sqrt{0.74(1-0.74)\times [\frac{1}{884}+\frac{1}{575}]}}\\\\=1.28\)

The test statistic value is 1.28.

The decision rule is:

The null hypothesis will be rejected if the p-value of the test is less than the significance level.

Compute the p-value as follows:

\(p-value=P(Z>1.28)=1-P(Z<1.28)=1-0.89973=0.10027\)

The p-value of the test is quite large. The null hypothesis will be rejected at 0.05 significance level.

Thus, there enough evidence suggesting that the registered voters in rural Minnesota were more likely than registered voters in urban Minnesota to vote in the 2012 Presidential election.

Answer:

Step-by-step explanation:

18% of $3200.80 = $576.144.

$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.

Answer:

The numbers are 25 and 26.

Step-by-step explanation:

When you multiply 25 with 26 you get their product, 650. And when you add them you get the answer 51.

Answer:

Step-by-step explanation:

8.008.009

Answer:

It is 2/3 or 0.666666667

Answer:

the answer is is 2/3

Step-by-step explanation:

hope this helped

Total water bill for the month is $62.37.

It seems that you may have accidentally left out the total amount of your water bill.

The total amount by simply adding the amounts of the individual bills together:

Total water bill =\($36.34 + $26.03\)

= \($62.37\)

You have not provided enough information to determine your total water bill.

You have only given the amounts of your individual bills from Metro Water Services and Madison Suburban Utility District.

To find your total water bill, you simply need to add the two bills together.

So, the total amount you owe for water this month would be:

Total water bill = \($36.34 + $26.03\)

= \($62.37\)

It appears that you may have forgotten to include the full amount of your water bill by accident.

Simple addition of the separate bill amounts yields the following sum:

Water bill total = \($36.34 + $26.03\)

= \($62.37\)

Your total water bill cannot be calculated because not enough information has been given.

Only the amounts of your individual Metro Water Services and Madison Suburban Utility District bills have been provided.

You just need to combine the two invoices together to get your total water bill.

As a result, this month's total water bill for you would be:

Water bill total =  \($36.34 + $26.03\)

= \($62.37\)

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Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The quadratic function that models the path of the ball is given as follows:

y = -(x - 2)² + 9.

The graph of this quadratic function is given by the image shown at the end of the answer.

The ball is increasing, and then later it decreases, meaning that it is defined by a concave down quadratic function.

The ball has a positive height until 5 seconds, hence one of the roots of the quadratic function is of 5, that is, when x = 5, y = 0.

The vertex of the quadratic function is given as follows:

(2,9).

Hence the vertex form definition of the quadratic function is given as follows:

y = a(x - 2)² + 9.

When x = 5, y = 0, hence the leading coefficient a is obtained as follows:

0 = a(5 - 2)² + 9

9a = -9

a = -1.

Hence the quadratic function is given as follows:

y = -(x - 2)² + 9.

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The values of p and ρˆ (p-hat) in the sample are

p = 0.48 and ρˆ (p-hat) = 0.44

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

Proportion of male = 48%

Boys = 11

Girls = 14

The proportion of male represents the variable p

So, we have

p = Proportion of male = 48%

This gives

p = 48%

Express as decimal

p = 0.48

The variable ρˆ (p-hat) is then calculated as

ρˆ = x/n

In this case,

x = Boys = 11

n = Boys + Girls = 11 + 14 = 25

So, we have

ρˆ = 11/25

Evaluate

ρˆ = 0.44

Hence, the values are 0.48 and 0.44, respectively

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Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

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

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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The result can be shown in multiple forms.

Exact Form:

15/7

Decimal Form:

2.142857

Mixed Number Form:

2   1/7

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Usually I try to explain what to do, but it's been a hot second from when I learned this. I uploaded a picture that might help.
This is a free tool for solving math problems if you ever need help: (no spaces or exclamation point) mat h way . co!m

------------------------

much love <333 good bye!!

The values of the variables in number 3, in simplest radical form, are:

f = 6;  o = 3.

The simplest radical form, also known as simplified radical form or simplified surd, refers to expressing a square root (√) or other roots in the simplest possible way without any perfect square factors in the root. In other words, it involves reducing the radical expression to its simplest form.

Solving problem 3, we would apply the necessary Trigonometric ratios to find the variables:

sin 60 = opp/hyp

sin 60 = 9√3 / f

f = 9√3 / sin 60

f = 9√3 / √3/2 [sin 60 = √3/2]

f = 9√3 * 2/√3

f = 18/3

f = 6

tan 60 = opp/adj

tan 60 = 9√3 / o

o = 9√3 / tan 60

o = 9√3 / √3 [sin 60 = √3]

o = 9√3 * 1 / √3

o = 9/3

o = 3

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Answer:

o = 9

f = 18

Step-by-step explanation:

Triangle #3 is a right triangle with two of its interior angles measuring 60° and 90°. As the interior angles of a triangle sum to 180°, this means that the remaining interior angle must be 30°, since 30° + 60° + 90° = 180°. Therefore, this triangle is a special 30-60-90 triangle.

The side lengths in a 30-60-90 triangle have a special relationship, which can be represented by the ratio formula a : a√3 : 2a, where "a" represents a scaling factor that can be any positive real number.

In triangle #3, the longest leg is 9√3 units.

As "a√3" is the shortest leg, the scale factor "a" is 9.

The side labelled "o" is the shortest leg opposite the 30° angle. Therefore:

\(o = a=9\)

The side labelled "f" is the hypotenuse of the triangle. Therefore:

\(f= 2a = 2 \cdot 9=18\)

Therefore:

Answer:

18 π ≈ 56.52

Step-by-step explanation:

The formula for the volume of a cylinder is V = π · r² · h.

This cylinder has a height (h) of 2 and a radius (r) of 3.

Therefore the volume is:

V =  π · r² · h = π · 3² · 2 = 18 π ≈ 56.52.

The magnitude of the resultant force is approximately 9.07 lb.

We have,

To use the parallelogram rule to find the magnitude of the resultant force for the two forces, we first draw a diagram:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb)  |

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

where A and B are the magnitudes of the given forces, and θ is the angle between them.

Using the parallelogram rule, we draw a parallelogram with sides AB and BC:

         B (11 lb)

        /|

       / |

      /  |

     /   |

    /    |

   /     |

  /θ     |

 /       |

A (7 lb) D

 \       |

  \      |

   \     |

    \    |

     \   |

      \  |

       \ |

        \|

         C

The diagonal BD represents the magnitude and direction of the resultant force.

To find its magnitude, we use the Law of Cosines:

BD^2 = AB^2 + BC^2 - 2(AB)(BC)cos(θ)

BD^2 = (7 lb)^2 + (11 lb)^2 - 2(7 lb)(11 lb)cos(133 degrees)

BD^2 = 49 + 121 - 2(77)cos(133 degrees)

BD^2 = 170 - 154cos(133 degrees)

BD ≈ 9.07 lb (rounded to two decimal places)

Therefore,

The magnitude of the resultant force is approximately 9.07 lb.

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Answer:

I did the math there is no answer

Answer:

answer is 1, 2, 6

Step-by-step explanation:

Answer:

1,2, and 6

Step-by-step explanation:

On solving the provided question, we can say that in the given graph the function will be so, g(x) = -1/2 |x|

Mathematicians use graphs logically convey facts or values using visual representations or charts. A graph point will typically reflect a relationship between two or more things. Nodes, or vertices, and edges make form a graph, a non-linear data structure. Glue together the nodes, often referred to as vertices. This graph has vertices V=1, 2, 3, 5, and edges E=1, 2, 1, 3, 2, 4, and (2.5), (3.5). (4.5). Statistical charts (bar charts, pie charts, line charts, etc.) graphical representations of exponential growth. a logarithmic graph in the shape of a triangle

here,

in the given graph

we have two lines that are straight from the origin, so the function must be in modulus

so, g(x) = -1/2 |x|

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Answer:

The smaller addend is subtracted from the bigger addend

Step-by-step explanation:

Represent the two numbers with a and b such that a > b

So, the mathematical representation will be

\(+a + (-b)\)

Open the bracket

\(+a -b\)

This implies that the smaller addend (b) is subtracted from the bigger addend (b)

Take for instance; a = 6 and b = 4

This gives

\(+6 + (-4)\)

Open the bracket

\(= +6 - 4\)

\(= 2\)

The value of x = 10 and the value of y = -9

The system of equations are given that

x + y = 1

5x + 4y = 14

Here the problem can be solved by using the elimination method and substitution method.

Use the elimination method here

Multiply the first equation by 10

10x + 10y = 10

Multiply the second equation by 2

10x + 8y = 28

Subtract the equation 2 from the equation 1, then the 10x will cancel

10y - 8y = 10 - 28

2y = -18

y = -18 / 2

y = -9

Then

x + y = 1

x = 1 -  y

Substitute the value of y in the equation

x = 1 - -9

x = 10

Hence, the value of x = 10 and the value of y = -9

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The answer is 12.57

But rounded to the nearest tenth is 12.6

Answer: C.

Step-by-step explanation: The side opposite the smallest angle in a triangle is the shortest side, and vice versa. Thus, we can say that WY is the shortest, XY is the medium, and WX is the longest. Thus, the answer is C.

Answer:

I honestly dont knoooooow

Given:

In triangle ABC, D is incenter m∠ACB = 3x + 54 and m∠ACD = x + 31.

To find:

m∠ACD.

Solution:

We know that,

Incenter of a triangle is the intersection point of all angle bisectors.

\(\angle ACD=\angle BCD\)      ...(i)

Now,

\(\angle ACB=\angle ACD+\angle BCD\)

\(\angle ACB=\angle ACD+\angle ACD\)       [Using (i)]

\(\angle ACB=2\angle ACD\)

Substitute the values, we get

\(3x+54=2(x+31)\)

\(3x+54=2x+62\)

\(3x-2x=62-54\)

\(x=8\)

The value of x is 8.

\(m\angle ACD=x+31\)

\(m\angle ACD=8+31\)

\(m\angle ACD=39\)

Therefore, the measure of angle ACD is 39 degrees.

Answer:

The equation of the exponential function that passes through the points (-3, 239) and (2, -3) and has an asymptote of y = -4 is:

y = (-3/239) * ((238/3)^(x-5) - 1) - 4

Step-by-step explanation:

To find the equation of an exponential function of the form y = ab^x + k that passes through the points (-3, 239) and (2, -3) and has an asymptote of y = -4, we need to use the information provided to determine the values of a, b, and k.

First, we can use the point (-3, 239) to find the value of a:

239 = ab^(-3) + k

Next, we can use the point (2, -3) to find the value of b:

-3 = ab^2 + k

Dividing the second equation by the first equation, we get:

-3/239 = (ab^2 + k)/(ab^(-3) + k)

Multiplying both sides by ab^(-3) + k, we get:

-3/239 * (ab^(-3) + k) = ab^2 + k

Expanding and rearranging, we get:

-3/239 * ab^(-3) - 3/239 * k = ab^2 + k - ab^(-3) - k

Simplifying and rearranging, we get:

-3/239 * ab^(-3) = ab^2 - ab^(-3)

Multiplying both sides by b^3, we get:

-3/239 = ab^5 - a

Solving for a, we get:

a = -3/239 / (b^5 - 1)

Now, we can use the fact that the asymptote is y = -4 to find the value of k:

lim(x->-∞) (ab^x + k) = -4

Since the limit as x approaches negative infinity of ab^x is zero, we get:

k = -4

Substituting the values of a, b, and k into the equation y = ab^x + k, we get:

y = (-3/239 / (b^5 - 1)) * b^x - 4

Simplifying, we get:

y = (-3/239) * (b^(x-5) - 1) - 4

Now, we can use the point (2, -3) to solve for b:

-3 = (-3/239) * (b^(2-5) - 1) - 4

Multiplying both sides by 239/3 and simplifying, we get:

b^3 = 238/3

Taking the cube root of both sides, we get:

b = (238/3)^(1/3)

Substituting this value of b into the equation y = (-3/239) * (b^(x-5) - 1) - 4, we get the final equation:

y = (-3/239) * ((238/3)^(x-5) - 1) - 4

Therefore, the equation of the exponential function that passes through the points (-3, 239) and (2, -3) and has an asymptote of y = -4 is y = (-3/239) * ((238/3)^(x-5) - 1) - 4.

Answer:

4

Step-by-step explanation:

Answer:

(-3, 3)

Step-by-step explanation:

..............

Answer:

b). posterior probabilities.

Step-by-step explanation:

Posterior Probabilities are described as the updated probabilities which are estimated employing the theorem proposed by Baye. According to his theorem, an association is developed between probability and the newly received information. When the previously existing probabilities are amalgamated with this updated information, it gives the existing probabilities' value a correction, update, or revision namely 'posterior probabilities.' Thus, it is the probability that asserts the truth of a hypothesis and hence, option b is the correct answer.

The values for x

at R is 4 , the new coordinate is (4 ,-7)

at M is 4 , the new coordinate is (4, 0)

at E is 11, the new coordinate is (11, -7)

AREM is a right angle because MR is parallel to y-axis , RE is parallel to x- axis, MR and RE are perpendicular to each other

The intial MR is translate 3 units to the right to make it parallel to the y-axis

RE is translated 3 units to the right and and upward to make it parallel to the x - axis

MR

slope = 0 - (-7) / 4 - 1 = 7/3

RE slope

= -7 - (-10) / 1 - 8 = -3/7

MR slope is perpendicular to RE slope

Answer:

1

Step-by-step explanation:

because parentheses go first so 2 x 3 = 6 minus 1 = 5 minus 4 = 1

The sum of the measures of the interior angles of a nonagon is 1260 degrees

The measure of each interior angle of a regular octagon is 135 degrees

A nonagon is a polygon with nine sides, and the formula to calculate the sum of the measures of the interior angles of a polygon with n sides is:

Sum of interior angles = (n-2) x 180 degrees

Therefore, the sum of the measures of the interior angles of a nonagon is:

Sum of interior angles = (9-2) x 180 degrees = 1260 degrees

An octagon is a polygon with eight sides, and the formula to calculate the measure of each interior angle of a regular polygon with n sides is:

Measure of each interior angle = (n-2) x 180 degrees / n

Therefore, the measure of each interior angle of a regular octagon is:

Measure of each interior angle = (8-2) x 180 degrees / 8 = 135 degrees

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