X2+Y2−8X+6Y+21=0 Use the process of completing the square to rewrite the equation ​above as the equation of a circle in standard form , and identify the ​center and radius . ​ ​The center is at the point ( , ​ ) ​ The radius is

Answer:

50x5

Step-by-step explanation:

The question is an illustration of a distance-time graph.

From the question, we have the following highlights

The graphs are not given, so I will attach the graph that represents the scenario.

See attachment for the graph that answers the question.

Read more about distance-time graphs at:

https://brainly.com/question/19836052

Answer:

Step-by-step explanation:

The given table is

Days     Bees

  0        10,000

 10        7,500

 20       5,600

 30       4,200

 40       3,200

 50       2,400

Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.

The exponential function that models this problem must be like

[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.

We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.

Let's use the points (10, 7500)

[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]

Solving for [tex]r[/tex], we have

[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]

Using logarithms, we have

[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]

Replacing all values in the model, we have

[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]

Therefore, the right answer is the first choice, that's the best approximation to this situation.

Answer:

A. y = 9,958(0.972)x

Step-by-step explanation:

Answer:

43.98

Step-by-step explanation:

Answer:

4.283

Step-by-step explanation:

Divide 12.85 by 3 using a calculator

Answer:

Root 181

Step-by-step explanation:

         Using distance formula, we know that the answer will be the square root of 181. Unfortunately, this is not a perfect square, and it is prime, so that number will remain the same.

Distance Formula: [tex]\sqrt{(13-4)^{2} + (7+3})^2} = \sqrt{181}[/tex]

Hope this helped!

Answer:

the normal heart rate of the grizzley bear = 12.5 beats per minute

Step-by-step explanation:

let the normal heart rate = x

hibernating heart rate = 20% of normal value = x - 10

20% of x = x - 10

20/100 of x = x - 10

0.2 × x = x - 10

0.2x = x - 10

x - 0.2x = 10

0.8x = 10

x = 10 ÷ 0.8 = 12.5 beats per minute

Correct question:

Every day Kim practice volleyball and clarinet each day she practices volleyball for 2.5 hours if after 8 days she practices both volleyball and the clarinet for a total of 36 hours how many hours per day did Kim practice clarinet.

Answer: 2 hours

Step-by-step explanation:

Everyday Kim practices volleyball and clarinet = v/ball + clarinet

Everyday volleyball practice = 2.5hours

That is clarinet(hours) + 2.5 hours of volleyball

After 8 day, total practice hours of both volleyball and clarinet equals 36 hours

The above information can be represented mathematically as thus:

Let h = hours per day of clarinet

8(h + 2.5) = 36

8h + 20 = 36

8h = 36 - 20

8h = 16

h = 16/8

h = 2

Answer:

V = 703.36 in³   (This matches answer option A.)

Step-by-step explanation:

This fish tank has a cylindrical shape.  The formula for the volume of a cylinder of radius r and height h is

V = (pi)(r²)(h).

We are told that h = 14 in and r = 4 in.  Using 3.14 for pi:

V = (3.14)(4 in)²(14 in) =

V = 703.36 in³   (This matches answer option A.)

Answer:

120 square centimeters

Step-by-step explanation:

Answer:

pounds - ½, 2, 5

ounces - 8, 32, 80

Step-by-step explanation:

Answer:Height:  

15.8  meters

Explanation: For a rectangular prism:  XXX  Volume  =  height  ×  width  ×  depth  and  XXX  Area (of base)  =  width  ×  depth  ⇒  height  =  Volume  Area  =  306.52

19.4  =  15.

Answer:  100 CUBIC METERS

Step-by-step explanation:

Answer:

A =70 ft^2

Step-by-step explanation:

The area of the triangle is equal to

A = 1/2 bh where b is the base and h is the height

A = 1/2 (20) *7

A =70 ft^2

Answer:

An inequality, such as x>2 can be graphed on the number line.

Step-by-step explanation:

An inequality, such as x>2 can be graphed on the number line. An open circle as a stating point, indicates the number is NOT included in the solution. Where as a closed circle or "dot" indicates the number IS included in the solution.

Answer:

An inequality, such as x>2 can be graphed on the number line.

Step-by-step explanation:

Answer:

you have to add all the angles including 'x' which is equals to 180°.

The process is

99+49+x=180

148+x=180

x=180-148

x=32.

Answer:

(x - 10)(x + 9)

Step-by-step explanation:

[tex] {x}^{2} - x - 90 \\ = {x}^{2} - 10x + 9x - 90 \\ = x(x - 10) + 9(x - 10) \\ = \red{ \boxed{ \bold{ (x - 10)(x + 9) }}}\\ [/tex]

Answer:

2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: 5

Step-by-step explanation:

two negatives equal a positive, so if you are subtracting with two negatives it just like 7-2 if that makes sense :)

Answer:

5

Step-by-step explanation:

you have to multiply the 2 negative signs in between of 2 and 7 and then you will get a positive sign

since the 2 signs are different you will need to subtract.

so 7-2 equals 5 and you put the bigger number's sign which is positive

The min is 4 as this is the smallest value and it is visually shown as the left-most point on the boxplot. This is the tip of the left whisker.

The value of the first quartile (Q1) is the left edge of the box and that is 7. The left whisker goes from 4 to 7. The left whisker represents 25% of the data, which is another way of saying "25% of the data is below Q1". So 25% of the distribution has between 4 and 7 teams.

Answer:

A. 4.1

Step-by-step explanation:

3+4+ 5+ 3+ 4+ 5+ 6+ 7+ 1+ 2+ 3+ 4+ 5+ 6+ 4+ 8+ 4+ 3+ 2= 79

79/ 19 = 4.1

Answer:

23Ib9 oz

Step-by-step explanation:

13+10=23

7+2+9

Answer:

b

Step-by-step explanation:

Answer:

60 pairs of shoes

Step-by-step explanation:

To find the answer, multiply 4x15. The words four times as many mean to do the operation of multiplication. 4x15= 60 So finally, each have 60 pairs of shoes.

i hope this helped:)

Answer:

7.5

Step-by-step:

Julie: ?

Her brother: ?

Total number: 15

So: 15 divided to julie and her brother-

There for 15 divide by 2 is 7.5

7.5+7.5=15

Answer:

On the circle

Step-by-step explanation:

Because all of the points on a circle are equidistant from the center, if a circle has a radius of 10 then all of the points are 10 units from the center. Using the Pythagorean Theorem, you know that the distance from (4,0) to (-2,8) is:

[tex]\sqrt{(4-(-2))^2+(8-0)^2}=\sqrt{6^2+8^2}=\sqrt{36+64}=\sqrt{100}=10[/tex], meaning that it is on the circle. Hope this helps!

Answer:

540

Step-by-step explanation:

259 + 279 = 538

Rounded to nearest 10

= 540

Answer:

I want to stand on my own three feet

Step-by-step explanation:

Answer:

1st one= n9+5

2nd one=n×-7+3

Answer:

(3,3)

Step-by-step explanation:

8--7=15

15/3 = 5

8-5=3

ordered pair at x=3 is (3,3)

Answer:

number : number

Step-by-step explanation:

for example, 1:3

this means 1 to 3

so for every 1 banana there are 3 apples

Answer:  One solution

namely x=3.   We have a product that's zero so the solutions come from each factor being zero; here the factors are the same so we only get one solution.

Answer:

Step-by-step explanation:I hope it's only one...