Determine the equation of a circle graphed below

Answer:

RQ = RS = 3

Step-by-step explanation:

Since RQ and RS are radii of the circle then they are congruent

let RQ and RS be x , then

Using Pythagoras' identity in right triangle QRS

x² + x² = (3\(\sqrt{2}\) )²

2x² = 18 ( divide both sides by 2 )

x² = 9 ( take the square root of both sides )

x = \(\sqrt{9}\) = 3

Thus RQ = RS = 3

1. C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

2. B. Type Ia supernovae

3. D. Downwards; towards the center of the Sun

The interpretation of the equations and the correct options for the given questions are as follows:

Question 1:

The equation interpretation is related to gravity. The equation states a relationship between gravity and distance. The correct option is:

C. Gravity is a force that acts as an inversely proportional square law with respect to distance.

Question 2:

To test how the constant G (gravitational constant) has changed over the evolution of the Universe, certain phenomena or objects are used. The correct option is:

B. Type Ia supernovae

Question 3:

Based on the excerpt, the direction of gravity from the Sun is described. The correct option is:

D. Downwards; towards the center of the Sun

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Answer:

\(\sqrt{57}\) or 7.54983

Step-by-step explanation:

25

1) We must start by reminding the binomials. Since this question refers to a perfect square trinomial then we can write:

2) Now we can look at the expression. Let's start by dividing that 10 by 2, since we have to write that -10x as 2 times the product of x and the other term:

Note that the second term is 5²= 25

3) Hence, the answer is 25

Answer:

Sides: Isosceles

Angles: Obtuse

Step-by-step explanation:

It's an Isosceles triangle because the 2 base angles are equal AND the two legs are equal in length.

It's an obtuse angle since once a triangle has 1 obtuse angle, it makes the triangle obtuse.

Answer: isosclese triangle the angle is obtuse

Step-by-step explanation:

brainiest please

The median of 3 algorithm does not work in linear time when computing the median of 5. It requires additional comparisons and rearrangements, resulting in a higher time complexity than linear.  The median of 7 algorithm works in linear time when computing the median of 5. It allows for efficient selection of the median by utilizing a larger set of elements, ensuring linear time complexity.

To illustrate this, let's consider the scenario of finding the median of 5 using the median of 3 approach. We start by selecting three elements and finding their median, let's say it's element A. Then we compare element A with the remaining two elements. If A is greater than both of them, it becomes the median. Otherwise, we need to consider another pair of elements and repeat the process. This additional step introduces more comparisons and operations, making the algorithm more complex than a linear time algorithm. When using the median of 7 to compute the median of 5, it works in linear time. The median of 7 algorithm selects the median element from a set of seven elements, which can be done in linear time. By applying this algorithm to find the median of 5, we select a subset of five elements and determine their median using the median of 7 algorithm. This approach ensures that we find the median of 5 in a linear time complexity.

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Answer:

The answer is y^6/x^2

Step-by-step explanation:

Answer:

The data given from the graph proves that Catherine and Ana's suspicions were correct and the athletes at their school do indeed have a quicker reaction time than other students at their school. The average reaction time for the athletes ranges from 240 - 300, while the normal student's reaction time ranges from 260 - 330. There still should be more experiments to test this theory to get more detailed and accurate results because there are still athletes that have the same reaction time as normal students and the dot away from the boxes shows that there is a athlete that has a slower reaction rate than all of the  normal students. So it is safe to say there is indeed a difference in reaction times, but not a drastic one.

Answer:

you can create  2 groups of 8 and you will have a group of 4 left

Step-by-step explanation:

Answer:

The 3 digit number 642 when multiplied 97 gives the greater product.

Step-by-step explanation:

The greatest product will result by multiplying the smaller 3 digit number with the greater two digit number.

The greater three digit number will be 976 and smaller 2 digit number would be 42

Multiplying

976*42 = 40992   ( descending order number)

679 *24= 16,296  ( ascending order number)

If we take the 2 digit number as 97 and  3digit number 642

Then multiplying

642* 97= 62,274  ( descending order  number)

246 * 79=19434   ( ascending order number)

The 3 digit number 642 when multiplied 97 gives the greater product.

Answer:

-60%

22   -     56

__________         x 100 ~      -60.7                    

                                        ~

      56                                    

Round 60.7

-60%

Hope this helps

                                                                                          -Tobie the dog <3

Answer:

61%

Step-by-step explanation:

1) We are changing the percent from 56 down to 22

2) This means that there will be a negative change in percent

3) This is because the new value (22) is smaller than the old value (56)

4) We must find the change from 56 to 22 in a percent

1) Find the difference between 56 and 22 as a number.

The difference between 56 and 22 is 34

2) Divide the result from Step 1 by the starting number 56.

34 ÷ 56 = 0.60714285714

3) Multiply the result from Step 2 by 100 to get it in terms of percent.

0.60714285714 x 100 = 60.71

4) Round the result from step 3 to the nearest percent.

60.71 ≈ 61%

Make sure you round to the nearest whole percent. In this case it would be 61%

Answer: The value of x is B and the value of y is D

Step-by-step explanation: Hope it helped! :)

The three parts using Trigonometry shown below.

Trigonometry is the branch of mathematics that deals with particular angles' functions and how to use those functions in calculations. There are six popular trigonometric functions for an angle. Sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant are their respective names and acronyms (csc).

Given:

Using Trigonometry

sin 30= P/ H

1/2 = x/ 11

x = 11/2

x = 5.5

cos 30 = B/ H

√3/2 = y/ 11

y= 11√3/2

y= 5.5√3

Now, sin 45= P/ H

1/√2 = x/ 8√2

x= 8

cos 45 = B/ H

1/√2 = y/8√2

y= 8

Now, sin 30 = P/ H

1/2= x/ 18

x= 9

cos 30 = B/ H

√3/2= y/18

y = 9√3

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Answer:

I would say 109 it looks a bit bigger than a 90-degree angle.

Step-by-step explanation:

if we take the line which is 180 and subtract 127 we get 53 from it.

We use 360  as another number considering the other angle is bigger than 180 so we do 360-304=56

So adding both together we get that x should be 109

Hope this helped.

A brainliest is always appreciated.

Null space is defined as the set of vectors 'x' in Rn that are solutions to the matrix equation A*x = 0. False: The set of all vectors of the form 1 x y where x and y range over all real numbers is a subspace of R3. True: The set of all vectors of the form 0 x y where x and y range over all real numbers is not a subspace of R3.

1) False Null space can consist of zero vector only. A null space is defined as the set of vectors 'x' in R^n that are solutions to the matrix equation A*x = 0.

2) True The number of columns can never be less than the number of rows of the matrix in order for a null space to exist, hence a 4x3 matrix may have the null space of only the zero vector.

3) True The set of all vectors of the form 1 x y where x and y range over all real numbers, is a subspace of R^3. This set contains zero vector because for x=0 and y=0, we get the vector as [0,0,0]. Hence it is a subspace of R^3.

4) False The set of all vectors of the form 0 x y where x and y range over all real numbers, is not a subspace of R^3 as it doesn't contain zero vector. To have a subspace of R^3, it should contain a zero vector.

So, the correct options are:1) False2) True3) True4) False

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Answer:

C-----> x<-7

Step-by-step explanation:

first u do this to turn x in positive and consequently change the > to an <:

(-1).(-4x)>28.(-1)

so:

4x<-28

x<-7

# when multiplying each side by (-1), you have to change the symbol (>) to an (<), or (<) to an (>)

The total number of the outcomes will be 12. The table is shown below with all the outcomes.

A sample is a group of clearly specified components. The number of items in a finite sample is denoted by a curly bracket.

Julie went to visit her aunt and uncle for the weekend.

She took the following clothes:

two pairs of slacks – one brown, one black;

three sweaters – one tan, one red and one white;

two shirts – one white and one gray.

Then the total number of the outcomes will be

Total outcomes = 2 x 3 x 2

Total outcomes = 12

The table is shown below with all the outcomes.

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a)  f(0) = 4, f(1) = 0, f(2) = 3, f(3) = 3, and f(4) = 0. Since f covers all elements of R5, f is a surjection.

b) g(x) = 5. This means that g does not cover all elements of Ro, so it is not a surjection.

c) F(0) = 4, F(1) = 0, F(2) = 3, F(3) = 2, and F(4) = 3. Since F covers all elements of R5, F is a surjection.

(a) The function f(x) = x^2 + 4 (mod 5) maps each element of R5 to a unique element in R5. Therefore, f is an injection. To show that f is a surjection, we need to show that for every y in R5, there exists an x in R5 such that f(x) = y. We can do this by computing f(x) for all x in R5 and checking if it covers all elements of R5. In this case, f(0) = 4, f(1) = 0, f(2) = 3, f(3) = 3, and f(4) = 0. Since f covers all elements of R5, f is a surjection.

(b) The function g(x) = x^2 + 4 (mod 6) maps each element of R6 to a unique element in Ro. Therefore, g is an injection. However, g is not a surjection because there is no x in R6 such that g(x) = 5. This means that g does not cover all elements of Ro, so it is not a surjection.

(c) The function F(x) = x^3 + 4 (mod 5) maps each element of R5 to a unique element in R5. Therefore, F is an injection. To show that F is a surjection, we can again compute F(x) for all x in R5 and check if it covers all elements of R5. In this case, F(0) = 4, F(1) = 0, F(2) = 3, F(3) = 2, and F(4) = 3. Since F covers all elements of R5, F is a surjection.

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Answer:

x = 8

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 given angles and equate to 180

13x - 8 + 7x + 4 + 3x = 180 , simplify left side

23x - 4 = 180 ( add 4 to both sides )

23x = 184 ( divide both sides by 23 )

x = 8

Answer:

x = 8

Step-by-step explanation:

The two sides equal each other

5x - 13 = x + 19  Subtract x from both sides

5x - x - 13 = x - x + 19

4x - 13 = 19  Add 13 to both sides

4x - 13 + 13 = 19 + 13

4x = 32  Divide both sides by 4

x = 8

Helping in the name of Jesus.

The frequency that must be entered into the table is 3, 1, 2, and 4.

In light of the duration of 10 shops' sales:

36, 20, 32, 18, 20, 33, 28, 34, 37, 23

The frequency in the table needs to be completed. The quantity of times that number appears indicates how frequently something occurs.

The given shopping times are:

36, 20, 32, 18, 20, 33, 28, 34, 37, 23

Intervals for which frequency is given are 18 to 22, 23 to 27, 28 to 32, and 33 to 37.

The numbers in the range 18 to 22 are 18, 20, and 23.

Hence, 3.

The numbers in the range 23 to 27 is 23, therefore one.

The numbers in the range 28 to 32 is 32, and 28,  therefore two.

The numbers in the range 33 to 37 are 36, 33, 37, and 34, therefore four.

Hence the frequency which is to be filled is 3, 1, 2, 4.

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Answer:

PLEASE ATTACH THE FIGURE LIKE THIS.....

The value of the product expression 67 x 5 is 335

Expressions are mathematical statements that are represented by variables, coefficients and operators

The expression is given as

67 x 5

The above expression is a product expression

So, we have

67 x 5

Express 67 as 60 + 7

So, we have

67 x 5 = (60 + 7) x 5

Evaluate the products

So, we have

67 x 5 = 300 + 35

Evaluate the sum

So, we have

67 x 5 = 335

Hence, the value of the product expression 67 x 5 is 335

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Answer:

B

Step-by-step explanation:

:)

The total distance from the starting point is 42 miles.

Distance is a numerical measurement of how far apart two objects or points are located. It can be measured in various units, such as miles, kilometers, or light years. The concept of distance is important in physics, mathematics, and geometry. It is used in a wide range of everyday applications, from measuring the length of a running track to determining the distance from Earth to the Moon. Distance helps us understand how things are related and connected to each other in space. It can also be used to calculate the speed of an object or the time it takes to travel between two points.

To calculate this, one can use the Pythagorean theorem to solve for the hypotenuse of the right triangle created by the distances traveled. The hypotenuse of the triangle is the total distance traveled, and can be calculated by taking the square root of the sum of the squares of the other two sides. The other two sides are the 10 miles north and the 16 miles east, so the total distance traveled can be calculated by taking the square root of (10^2 + 16^2). The answer is 42 miles.
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Complete questions as follows-
I drove 10 miles north 14 miles east 16 miles north 2 miles east 4 miles north how far am I from my starting point?

Answer:

nonlinear

Step-by-step explanation:

sorry if im wrong

Answer:

Linear

Have a great day! :)

Is this a real question? If so I don’t know, if not cuz people are cruel.

We can determine if the process is in control by checking if any of the data points fall outside the control limits.

To construct a control chart for monitoring the proportion of incorrect forms, we will use the P chart because we are interested in monitoring the proportion of defects relative to the total number of forms processed.

To calculate the standard deviation of p (sigma_p) for the P chart, we can use the formula:

sigma_p = sqrt((p * (1 - p)) / n)

where:

p = average proportion of defective forms

n = number of forms processed

First, let's calculate the average proportion of defective forms (p):

p = Sum of incorrect forms / (200 * Number of days)

p = 143 / (200 * 10)

p ≈ 0.0715

Next, let's calculate sigma_p using the formula mentioned above:

sigma_p = sqrt((0.0715 * (1 - 0.0715)) / (200 * 10))

sigma_p ≈ 0.0093

For the P chart, the Upper Control Limit (UCL) is given by:

UCL = p + 3 * sigma_p

UCL ≈ 0.0715 + 3 * 0.0093

UCL ≈ 0.0994

The Lower Control Limit (LCL) for the P chart is typically set to zero since the proportion cannot be negative:

LCL = 0

Now, we can determine if the process is in control by checking if any of the data points fall outside the control limits.

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X= 14.375 and y = 21.75

Calculating For x

\( = > \huge\frac{x}{57.5} = \frac{16}{64} \)

\( = > \huge\ \: x = \frac{57.5 \times 64}{16} \)

\(x = 14.375\)

Calculating For y

\( = > \huge \frac{y}{87} = \frac{16}{64} \)

\( = > \huge y = \frac{87 \times 64}{16} \)

\(y = 21.75\)

\(\sf\red{hope\:it\:helps\:you}\)