please please help me with this

The circle equation is \((x-5)^{2} +(y-2)^{2}\)\(=52\). Hence the appropriate answer is \((x-3)^{2} +(y+1)^{2} =52\)

A centre is a point in geometry that connects to a polyhedron or other structure. (or centre). The centre of the figure or object may have distinctive characteristics that are significant when studying it.

For example, the centre of a circle is thought to be the spot that is evenly spaced from all other points on the circle. This term, which is commonly represented by the character "O," is defined in terms of the radius, diameter, and circumference of a circle.

Additionally, other geometric constructions like tangent lines and inscribed polygons use the middle of a circle as well. Other geometric shapes may define the middle differently.

Given

The circle's centre is found at the midpoint of the circumference, which can be established by averaging the \(x\)- and\(y\)-coordinates of the ends:

\(centre = (3+7)/2,(-1+5)/2(,5,2)\)

Distance =\(\frac{1}{2}\) of diameter= circle radius

\(r=\sqrt{(7-3)}\)

\(\sqrt{52/2}\)\(= \sqrt{2+(5-(-1)2)/2}\)\(13\)

Therefore the circle equation\((x-5)^{2} +(y-2)(y-2)^{2}= \sqrt[2]{13^{2} }\)

\((x-5)^{2} +(y-2)^{2} =52\)

Hence the appropriate answer is \((x-3)^{2} +(y+1)^{2} =52\)

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The probability, provided that the windshield is a rectangle with the dimensions 28 inches by 54 inches and his line of site through the windshield is a rectangle with the dimensions 30 inches by 24 inches is 0.476

Continuous Probability is used for this information. Probability = Area of line of sight / total area of windshield

Probability = (30*24)/(28*54)

Probability = 0.476

The probability will be 0.476.

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There is a 16% probability that the individual actually had the disease given a positive test result.

The probability that the individual had the disease can be calculated as follows:

Let A = Event of testing positive and actually having the disease

Let B = Event of testing positive but not actually having the disease

We are looking for P(A|B), which is the probability of actually having the disease given a positive test result.

Using Bayes' Theorem, we have:

P(A|B) = P(A) * P(B|A) / P(B)

Bayes' theorem is a mathematical formula used in probability theory to calculate the probability of an event based on prior knowledge of conditions that might be related to the event.

It states that the conditional probability of an event A given event B is equal to the product of the probability of event B and the conditional probability of event A given event B, divided by the probability of event B. The formula is represented as P(A|B) = P(B|A) * P(A) / P(B).

Where:

P(A) = 1/500 (probability of having the disease)

P(B|A) = 0.95 (probability of a correct positive result given that the individual has the disease)

P(B) = P(B|A) * P(A) + P(B|A') * P(A') (probability of a positive test result)

= 0.95 * 1/500 + 0.01 * 499/500 (probability of a false positive result given that the individual does not have the disease)

Plugging in the values, we have:

P(A|B) = (1/500) * 0.95 / [0.95 * 1/500 + 0.01 * 499/500] = 0.16 or 16%

Therefore, there is a 16% probability that the individual actually had the disease given a positive test result.

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Answer:

27º

Step-by-step explanation:

complementary angle is equal to 90º

90 - 63 = 27

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

In order to evaluate  the cash paid for merchandise purchases during 2014, it is crucial to calculate the change in accounts payable from December 31, 2013 to December 31, 2014 and summation of  purchases made during 2014.

Accounts payable change

= Accounts payable at December 31, 2014 - Accounts payable at December 31, 2013
= $46,000 - $51,000
= -$5,000

This explains that accounts payable decreased by $5,000 from December 31, 2013 to December 31, 2014.

Cash paid for merchandise purchases in 2014

= Purchases  during 2014 + Change in accounts payable
= $467,000 - $5,000
= $462,000

The total amount of cash paid  by Stein Corp. for merchandise during the interval of 2014 is $462,000, under the condition that accounts payable, for December 31, 2013 is  $ 51,000 and accounts payable, for December 31, 2014 is $46,000
Purchases-2014  is $467,000.

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Answer:

Y= –7.08, 5.08

Step-by-step explanation:

hope ya ready bro.

X=36/Y

replace 36/y instead of X

36/Y–Y=2===> 36–Y²=2Y===> Y²+2Y–36=0

Y1= –1+√37≈ –7.08

Y2= –1–√37≈ 5.08

The constant average rate of change is the slope of the line which can be used to write the linear function.

What is a Data Table ?

A table of data is linear if there is a constant average rate of change between all pairs of points.

Testing for Linearity

Finding a Function from a Table that is Linear

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The operation in the expression is addition, which is indicated by the \(+\) sign.

15 mile/1 hours cause 60/4

The incidence rate of active cases of tb for the 6-month period was  0.00014

An incidence rate describes how quickly disease occurs in a population.

Incidence rate is the rate of new occurrence of a particular disease divided by the population of people at risk of the disease.

So for this question

The number of new  active cases of tb occurring between January 1 and June 30, 2012 was 26

Population at risk  in Baltimore is 183,000

Incidence rate = 26/183,000

The incidence rate of active cases of tb for the 6-month period was           0.00014 or 14 per 100,000 population.

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Answer:

SA = 10,800 ft²

Step-by-step explanation:

To find the surface area of a rectangular prism, you can use the equation:

SA = 2 ( wl + hl + hw )

SA = surface area of rectangular prism

l = length

w = width

h = height

In the image, we are given the following information:

l = 40

w = 60

h = 30

Now, let's plug in the information given to us to solve for surface area:

SA = 2 ( wl + hl + hw)

SA = 2 ( 60(40) + 30(40) + 30(60) )

SA = 2 ( 2400 + 1200 + 1800 )

SA = 2 ( 5400 )

SA = 10,800 ft²

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The x-coordinate of the vertex is 0.  the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

To find the dimensions that will create the maximum area of the prop section, we need to analyze the given equation A = -x^2 + 40. The equation represents a quadratic function in the form of A = -x^2 + 40., where A represents the area of the prop section and x represents the dimension.

The quadratic function is in the form of a downward-opening parabola since the coefficient of is negative (-1 in this case). The vertex of the parabola represents the maximum point on the graph, which corresponds to the maximum area of the prop section.

To determine the x-coordinate of the vertex, we can use the formula x = -b / (2a), where the quadratic equation is in the form Ax^2 + Bx + C and a, b, and c are the coefficients. In this case, the equation is -x^2 + 40, so a = -1 and b = 0. Plugging these values into the formula, we get x = 0 / (-2 * -1) = 0.

Therefore, the x-coordinate of the vertex is 0. To find the corresponding y-coordinate (the maximum area), we can substitute x = 0 into the equation  A(x) = -x^2 + 40: A(0) = -(0)^2 + 40 = 40.

Hence, the equation that reveals the dimensions that will create the maximum area of the prop section is A = 40. This means that regardless of the dimension x, the area of the prop section will be maximized at 40 units.

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The four basic logic gates are AND, OR, NOT, and XOR.

1. AND Gate: This gate takes two or more inputs and produces an output of 1 (true) only if all the inputs are 1 (true).
2. OR Gate: This gate takes two or more inputs and produces an output of 1 (true) if at least one of the inputs is 1 (true).
3. NOT Gate (Inverter): This gate has only one input and inverts it, producing an output of 1 (true) if the input is 0 (false) and vice versa.
4. XOR Gate (Exclusive OR): This gate takes two inputs and produces an output of 1 (true) if either, but not both, of the inputs are 1 (true).

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The dial for the standard combination lock is fastened to a spindle. The spindle travels through many wheels and a drive cam inside the lock. Every number has one wheel, hence the number of wheels in a wheel pack depends on how many numbers are in the combination.

The lock uses the numbers 0 to 39 and has 64,000 distinct combinations.

How many possible three-number combinations are there?

You have 10 options for the first digit, 9 options for the second digit, and 8 options for the third digit, giving you 10x9x8 = 720 if you want all three possible numbers with no duplication of the digits.

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Answer: AI is 8, Rob is 18, and Bert is 36

Step-by-step explanation:

Ok, so the sum of their age is 62. Bert is x2 of Rob. Also someone is 10 years older than AI, lets assume Rob is the guy that is 10 years older. x+y+10+(z times 2)=62. So lets solve it. 62-10=52. 52=x+y+(z times 2). Now if you think about it x and y is the same, because the 10 is already minused. So it's now x*2+z*2=52, if you assume it now, z is x+10. So now it is 52=x*2+(x+10)x2. Now we break out the brackets so its x*2+x*2+20=52. Lets simplify it. x*4+20=52, lets swift the 20 the the other side. x*4=52-20, x*4=32. 32/4=8 so 8 is x. Now we know AI is 8, Rob is 18, and Bert is 36!

The given problem is asking for a test to see if the sample mean is significantly different from 85 at the 0.05 level. To solve the problem, we can use the following formula:$$t = \frac{\bar{x} - \mu}{\frac{s}{\sqrt{n}}}$$where$\bar{x}$ = sample mean$\mu$ = population mean$s$ = sample standard deviation$n

$ = sample sizeTo calculate the t-value, we need to calculate the sample mean and the sample standard deviation. The sample mean is calculated as follows:$$\bar{x} = \frac{\sum_{i=1}^{n} x_i}{n}$$where $x_i$ is the score of the $i$th student and $n$ is the sample size.

Using the given data, we get:$$\bar

{x} = \frac{78+89+67+85+90+83+81+79}{8}

= 81.125$$The sample standard deviation is calculated as follows:$$

s = \sqrt{\frac{\sum_{i=1}^{n} (x_i - \bar{x})^2}{n-1}}$$Using the given data, we get:$$

s = \sqrt{\frac{(78-81.125)^2+(89-81.125)^2+(67-81.125)^2+(85-81.125)^2+(90-81.125)^2+(83-81.125)^2+(81-81.125)^2+(79-81.125)^2}{8-1}}

= 7.791$$Now we can calculate the t-value as follows:$$

t = \frac{\bar{x} - \mu}{\frac{s}

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ummm \(6\frac{1}{8}\) aha-

Answer:

\(y=a(x-h)^{2} +k\)

\((x,y)=(-3,14)\)

\((h,k)=(-4,6)\)

\(14=a(-3-(-4))^{2})+6\)

\(14=a(-3+4)^{2} +6\)

\(14=a(1)^{2} +6,-6\)

\(8=a\)

\(ANSWER:8\)

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

HOPE IT HELPS

HAVE A GREAT DAY!!

The resulting values for det(B) are 8, -8, 16

To determine the effect of each row operation on the determinant of the matrix, we can use the fact that the determinant is multilinear with respect to the rows. In other words, if we perform a row operation on a matrix, the determinant is multiplied by a scalar that depends on the row operation.

a) Interchanging rows 3 and 1 of A:

Let B be the matrix obtained by interchanging rows 3 and 1 of A. This row operation is equivalent to multiplying A by the permutation matrix P that interchanges rows 3 and 1. Since P is a permutation matrix, det(P) is either 1 or -1. In this case, interchanging rows 3 and 1 once is equivalent to applying P twice, so det(P) = 1. Therefore,

det(B) = det(PA) = det(P) det(A) = det(A) = 8

b) Adding -2 times row 3 to row 2 of A:

Let B be the matrix obtained by adding -2 times row 3 to row 2 of A. This row operation is equivalent to multiplying A by the matrix

I - 2 e_2 e_3^T,

where I is the 4x4 identity matrix, and e_2 and e_3 are the second and third standard basis vectors in R^4, respectively. The determinant of this matrix is -1 (it is a reflection matrix), so

det(B) = det((I - 2 e_2 e_3^T) A) = (-1) det(A) = -8.

c) Multiplying row 4 of A by 2:

Let B be the matrix obtained by multiplying row 4 of A by 2. This row operation is equivalent to multiplying A by the diagonal matrix D with diagonal entries 1, 1, 1, 2. The determinant of this matrix is 2, so

det(B) = det(DA) = 2 det(A) = 16.

Therefore, the resulting values for det(B) are:

a) det(B) = 8

b) det(B) = -8

c) det(B) = 16

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Answer:No he is not correct.

Step-by-step explanation:

Since each baseball has signatures on them and he has 10 of them we have to multiply 10 by 5 and we get 50 not 45.So he had 50 signatures in total therefore is not correct.

88 is the measure of arc BC.​

What is arc ?

In general, an arc is any smooth wind joining two points. The length of an arc is known as its arc length. In a graph, a graph arc is an ordered brace of conterminous vertices. In particular, an arc is any portion( other than the entire wind) of the circumference of a circle.

                       An arc is the term used to describe the convex area of a circle that curves away from an angle like this, between two line segments or rays. A circle's circumference, or outside border, is known as the arc's circumference, and it is this area that is measured when an arc is drawn along it.

DE ≅ BC

  3x + 22 = 4x

      4x - 3x = 22

          x = 22

BC = 4X = 4 * 22

              =    88

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Answer:

length = 13 inches

Step-by-step explanation:

let the length be x

hence, the width = x-9

perimeter = 2(x+x-9) = 34

2(2x-9) = 34

4x- 18 = 34

4x = 52

x = 13

Answer:

5ft

Step-by-step explanation:

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

Simplifying the expression (2x³ – 2x² – 40x )/(2x² + 5x - 12) ÷ (6x⁴ – 150x²)/(8x³ - 27) will result to (x - 5)/(3x(x - 3)(x + 5)).

To simplify the given expression completely, we need to factor the numerator and denominator of each fraction, and then simplify by canceling out common factors.

(2x³ – 2x² – 40x )/(2x² + 5x - 12) ÷ (6x⁴ – 150x²)/(8x³ - 27)

= (2x(x² - x - 20))/(2x^2 + 5x - 12) ÷ (6x^2(x^2 - 25))/(8x^3 - 27)

= (2x(x - 5)(x + 4))/(2x² + 8x - 3x - 12) ÷ (6x²(x - 5)(x + 5))/(8x³ - 27)

= (2x(x - 5)(x + 4))/(2x(x + 4)(x - 3)) ÷ (6x²(x - 5)(x + 5))/(8x³ - 27)

= (2x(x - 5)(x + 4))/(2x(x + 4)(x - 3)) × (8x³ - 27)/(6x²(x - 5)(x + 5))

= (x - 5)/(x - 3) × (8x³ - 27)/(6x²(x - 5)(x + 5))

= (x - 5)/(x - 3) × (2x - 3)(4x² + 6x + 9)/(6x²(x - 5)(x + 5))

= (x - 5)/(x - 3) × (2x - 3)/(6x(x - 5)(x + 5))

= (x - 5)/(3x(x - 3)(x + 5))

Therefore, the simplified expression is (x - 5)/(3x(x - 3)(x + 5)).

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The weight of the other children are 37.5 kg and 31.25 kg

The weight of the three children are 6:5:4

6x, 5x and 4x

The weight of the smallest child is 4x

4x= 25

x= 6.25

The weight of the other two children can be calculated as follows

6(6.25)

= 37.5

5(6.25)

= 31.25

Hence the weight of the other two children are 37.5 kg and 31.25 kg

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Answer:

Just remember that when it comes to vertex form and parabola transformations a negative h means shift right and positive h left. We anumberd to the number lgraphbitself itself having negative integers on left and positive on right and I can see why this throws people off.

Step-by-step explanation:

can i get brainlist brainly deleted all my answers for no reason

Answer:

he parameter h is the extremal point of the quadratic. The extremum happens when x=h, when the function (x−h)2 is minimized (or −(x−h)2 maximized). So the reason for the minus sign is because x=h is equivalent to x−h=0.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

ratios are like fractions!

A. simplify  2:8 by dividing by 2 ---> 1: 4

1:16 and 1:4 is not equal

B. Simplify 2:32 by dividing by 2  -----> 1: 16

    Simplify 4:8 by 4 -------> 1:2

1:16 and 1:2 is not equal

C. Simplify 4:16 by dividing by 4 ----> 1:4

1:64 and 1:4 is not equal

D. Simplify 4:64 by dividing by 4 ---> 1:16

1:16 = 1:16

Answer:

2500

Step-by-step explanation:

5×5 ( 5×5×5 - 5×2 )

25 ( 125 - 25 )

25 ( 100)

25 × 100

= 2500

Solution:

Here we use a law of exponent i.e.

\( {a}^{m} \times {a}^{n} = {a}^{m + n} \\ \\ \)

So,

5² × 5³ × 5²

\( = {5}^{2 + 3 + 2} \\ \\ = {5}^{7} \\ \\ = 78125 \\ \\ \)

Therefore the answer is 78125 or simply 5⁷

Hope it helps you :)

Answer: False

Step-by-step explanation:

Researchers typically report the adjusted R-squared value in addition to the regular R-squared value, not because they lack confidence in the actual R-squared, but because the adjusted R-squared provides additional information about the goodness of fit of a statistical model. The regular R-squared value measures the proportion of the variance in the dependent variable that is explained by the independent variables in the model. However, it can be biased and increase as more predictors are added to the model, even if the additional predictors do not contribute significantly to the prediction.

The adjusted R-squared, on the other hand, takes into account the number of predictors in the model and penalizes the addition of irrelevant predictors. It provides a more conservative measure of the goodness of fit by adjusting for the number of predictors and the sample size. Researchers often use the adjusted R-squared to evaluate and compare different models with varying numbers of predictors or to assess the overall explanatory power of a model while considering its complexity.

In summary, researchers report the adjusted R-squared value to address the limitations of the regular R-squared and to provide a more accurate assessment of the model's goodness of fit.