Which are the center and radius of the circle with equation (x + 5)2 + (y − 4)2 = 9?
A. (−5, −4); r = 3
B. (5, −4); r = 9
C. (−5, 4); r = 3
D. (5, 4); r = 9

Answer:

B

Step-by-step explanation:

Answer:

5 is solution

Step-by-step explanation:

hello,

I am not sure what is expected for this kind of question.

we can notice that 5 is a solution as

\(\sqrt{4*5+5}-\sqrt{5-1}=\sqrt{25}-\sqrt{4}=5-2=3\\and\\\sqrt{5+4}=\sqrt{9}=3\)

hope this helps

The set of ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} belong to a function

[y = f(x)] considering the pairs are in the order of (x, y).

As per the question statement, we are provided with a set of ordered pairs: {(-2, 4), (0, 2), (-1, 3), (4, -2)}.

We are required to determine if the pairs in the set satisfy a function or not.

To solve this question, let us consider each pair in the form of (x, y) and then, we will have to find out a relation between x and y that will satisfy all the ordered pairs. If we are able to find out one such common relation or pattern, we will determine our ordered pairs as inputs and outputs of the same function, otherwise not.

We can say that, \([(-2)(-1)+2]=4,\)

\([(0)(-1)+2]=(0+2)=2,[(-1)(-1)+3]=1+2)=3,\\\)

And, \([4*(-1)]+2=[(-4)+2]=(-2)\)

That is, all our ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} satisfy the function [y = f(x) = {x(-1) + 2}], being in the order of (x, y).

Therefore, the set of ordered pairs {(-2, 4), (0, 2), (-1, 3), (4, -2)} are the inputs and outputs of the function [y = f(x) = {x(-1) + 2}].

       (b = q).

To learn more about Ordered Pairs, click on the link below.

https://brainly.com/question/23922144

#SPJ9

The angle of depression from you to your friend is 54.1°

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle between me in air and my friend, hence:

tanθ = 326 / 450

θ = 35.9 degrees

The angle of depression = 90 - 35.9 = 54.1°

The angle of depression from you to your friend is 54.1°

Find out more on Trigonometric ratios at: https://brainly.com/question/24349828

Answer:

38

Step-by-step explanation:

The expected value of the number of upgrades selected is 1.04.

The given probability mass function provides the probabilities for the number of upgrades purchased per customer. We are asked to find the expected value, which is a measure of central tendency in probability theory. To do this, we need to multiply each possible value of upgrades by its probability and then sum them up.

First, we need to figure out the value of f(3). We know that the sum of all probabilities in a probability mass function is 1. Therefore, we can use the given probabilities to calculate f(3) as follows:

1 = f(0) + f(1) + f(2) + f(3)

1 = 0.50 + 0.20 + 0.06 + f(3)

f(3) = 1 - (0.50 + 0.20 + 0.06)

f(3) = 0.24

Now that we know the value of f(3), we can calculate the expected value as follows:

E(X) = (0 x 0.50) + (1 x 0.20) + (2 x 0.06) + (3 x 0.24)

E(X) = 0 + 0.20 + 0.12 + 0.72

E(X) = 1.04

To know more about probability here.

https://brainly.com/question/11234923

#SPJ4

Answer:

~1383.5 meters cubed

Step-by-step explanation:

(17.6 x 17.6 x 13.4) ÷ 3 = ~1383.5

Answer:

y = 2x + 17

Step-by-step explanation:

lmk if you want an explanation

Answer:

Step-by-step explanation:

Ok First you need to find out how many favorite type of music and favorite school subject.

Now then, when you find out what they are look for the answer.

If i didn't help you i'm so sorry.

                                      Good luck!

Answer:

x=3

Step-by-step explanation:

Answer:

1/15 or 0.0667

Step-by-step explanation:

brainly.in/question/40960504

bardai

chatgpt

red marble on the first draw is 2/6, or 1/3

red marble on the second draw, given that the first marble was red, is 1/5

(1/3) * (1/5) = 1/15

The length of Marisa's garden is 10

The given parameters are:

Perimeter = 32 feet

Width = 6 feet

The perimeter is calculated as:'

Perimeter = 2 * (Length + width)

So, we have

2 * (Length + 6) = 32

Divide by 2

Length + 6 = 16

Subtract

Length = 10

Hence, the length of Marisa's garden is 10

Read more about perimeter at:

https://brainly.com/question/24571594

#SPJ1

Answer:

Public :

Q1 = 27.5

Q2 = 31.5

Q3 = 36

Private:

Q1 = 33.5

Q2 = 37.5

Q3 = 38.5

Step-by-step explanation:

Given the data:

Public Transportation

23 25 25 30 31 31 32 33 35 38 37 42 ;

Rearranged data :

23, 25, 25, 30, 31, 31, 32, 33, 35, 37, 38, 42

Median :

1/2(n+1)th term

n = sample size = 12

1/2(13)th term = 6.5th term

(6th + 7th)/ 2

(31 + 32) / 2 = 31.5

1st quartile :

1/4(n + 1)th term

1/4(13) th term.

Q1 = 27.5

3rd quartile :

3/4(n + 1)th term

3/4(13) th term.

Q3 = (25 + 37) / 2 = 36

Private

32 32 33 34 37 37 38 38 38 39 40 44

Rearranged data:

32, 32, 33, 34, 37, 37, 38, 38, 38, 39, 40, 44

Median :

1/2(n+1)th term

n = sample size = 12

1/2(13)th term = 6.5th term

(6th + 7th)/ 2

(37 + 38) / 2 = 37.5

1st quartile :

1/4(n + 1)th term

1/4(13) th term.

Q1 = 33.5

3rd quartile :

3/4(n + 1)th term

3/4(13) th term.

Q3  = 38.5

Based on the information we can infer that 5/8 between 6 people is equal to 15/24.

To calculate the part that corresponds to each person, divide the fraction 5/8 by the number of people, which in this case is 6. To simplify the fraction, you can reduce the numerator and denominator by dividing both by their maximum common factor, which is 3.

5 ÷ 3 = 1 and 2 remainder8 ÷ 3 = 2 and 2 remainder

So the fraction can be simplified to 1 2/8, which can also be expressed as 1 1/4 or 5/4 in its most simplified form. This means that each person would receive 5/4 of the original share, and since there are 6 people in total, you can multiply 5/4 by 6 to get the total share that corresponds to all 6 people:

(5/4) x 6 = 30/4 = 15/2 = 15/24

So each person would receive 15/24 of the original amount.

Note: Here is the question in English:

5/8 divided in 6 people

Learn more about fractions in: https://brainly.com/question/28021779
#SPJ1

Answer: 5x-3

Step-by-step explanation:

(f+g)(x) means f(x)+g(x). Knowing this, we add the 2 functions together.

2x-6+3x+9

5x-3

Answer:

She can make 2 bouquets

Step-by-step explanation:

Divide 8 and 6 by two.

8/2= 4

6/2= 3

she can only make two identical bouquets without any flowers left over

The frequency distribution table shows the distribution of the rice consumed by the families

From the question, we have the interval to be:

Interval = 6

Start by calculating the range

Range = Highest - Least

This gives

Range = 60 - 20

Range = 40

Calculate the class width

Width = Range/Interval

This gives

Width = 40/6

Width = 7

So, the classes are: 20 - 26, 27 - 33, 34 - 40, 41 - 47, 48 - 54 and 55 - 61

Using the above classes, we have the following frequency distribution table.

Class Frequency

20 - 26 6

27 - 33 3

34 - 40 7

41 - 47 4

48 - 54 3

55 - 61 4

From the above Frequency Distribution Table, the interval with the highest frequency is 34 - 40

Read more about Frequency Distribution Table at:

https://brainly.com/question/1094036

Answer:

you cant simplify further

Step-by-step explanation:

Step-by-step explanation:

Identity the variable:

Initial Velocity is 35.

Initial Height is 204

Final Height is 0.

What looking for the time.

So we have

\(0 = - 16 {t}^{2} + (35)t + 204\)

Use Quadratic Formula,

\( - b± \frac{ \sqrt{b {}^{2} - 4ac} }{2a} \)

A is -16, B is 35 , C is 204.

So we have

\( - 35± \frac{ \sqrt{ {35}^{2} - 4( - 16)(204) } }{ - 32} \)

\( - 35± \frac{ \sqrt{1225 + 2240} }{ - 32} \)

\( - 35± \frac{ \sqrt{3465} }{ - 32} \)

\({35} ± \frac{ \sqrt{3465} }{ - 32} \)

The positve solution is

\(4.83\)

So the answer is 4.83 seconds

Answer:

65

Step-by-step explanation:

Hi,

Triangles will always add up to 180 degrees. So, 62 + 53 = 115. Subtract it from 180, 180 - 115, and you get 65.

I hope this helps :)

Answer:

65

Step-by-step explanation:

The sum of the three angles of any triangle is equal to 180 degrees

Answer:

Express concentrations of solution components using mole fraction and molality

Describe the effect of solute concentration on various solution properties (vapor pressure, boiling point, freezing point, and osmotic pressure)

Perform calculations using the mathematical equations that describe these various colligative effects

Describe the process of distillation and its practical applications

Explain the process of osmosis and describe how it is applied industrially and in nature

Step-by-step explanation:

i helped

The stock worth now, to the nearest cent is  $90.75.

The current worth of stock = initial price of stock+increase in the price of stocks

If you bought stock last year for a price of $103, and it has risen 13.5% since then,

Let X be the worth of stock;

103 ×  100 = (13.5% + 100%) × X

10300 = 113.5X

X = 10300/113.5

X = 90.74889868

X = $90.75

Hence, The stock worth now, to the nearest cent is  $90.75.

Learn more about stock;

https://brainly.com/question/16553868

#SPJ1

Answer:

can you ask the qustion better plz

Step-by-step explanation:

A. The proportion of men in the sample who wear glasses will be 0.429.

B. The proportion of all above average readers who wear glasses is 0.456.

It should be noted that 303 men in Ohio were

selected at random and characterized as to whether they wore glasses.

a. The proportion of men in the sample who wear glasses will be:

= (47 + 51 + 32) / 303

= 130 / 303

= 0.429

B. The proportion of all above average readers who wear glasses will be:

= 47 / (47 + 51 + 32)

= 47/103

= 0.456

Learn more about proportion on:

brainly.com/question/19994681

#SPJ1

Answer:

5,13

Step-by-step explanation:

when you translate to the right you are adding and when you move up you are also adding.

4+ 1=5

8+5=13

new point (5,13)

Part a

Setting \(x=6\), \(y=7.9(1.02)^6 \approx \boxed{8.9}\)

Part b

Setting \(x=14\), \(y=7.9(1.02)^{14} \approx \boxed{10.4}\)

The length of the third side is 14.4 units.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

We find the third side of a triangle by using Pythagoras theorem.

In a right-angled triangle, the square of the hypotenuse side is equal to the sum of squares of the other two sides

8²+12²=x²

64+144=x²

208=x²

Take square root on both sides

x=14.4

Hence, the length of the third side is 14.4 units.

To learn more on trigonometry click:

https://brainly.com/question/25122835

#SPJ1