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Answer:

It is 38 meters!!!!!!

Step-by-step explanation:

The maximum distance between the runners at any given time is 38 meters.

"The general form of equation of circle is [tex]x^2 + y^2 + 2gx + 2fy + c = 0[/tex]."

here center = (-g, -f) and radius = [tex]\sqrt{g^{2} +f^{2} -c}[/tex]

The equation of the circle with center (h, k) and radius 'r' is, [tex](x-h)^2 + (y-k)^2 = r^2[/tex]

For given question,

Addison and Kelsey are running on a path modeled by [tex]x^2 + y^2 - 12x - 8y - 309 = 0[/tex]

This means, they are running on a circular path.

By completing the squares, the equation is:

[tex]\Rightarrow x^2 -12x + 36+ y^2 - 8y +16 = 309 + 36+16\\\\\Rightarrow (x-6)^2+(y-4)^2=361\\\\\Rightarrow (x-6)^2+(y-4)^2=19^2[/tex]

This equation represents the circle with center (6, 4) and radius = 19

The maximum distance between the runners is the diameter of the circle.

diameter = 2 × radius

diameter = 2 × 19

diameter = 38 meters

Therefore, the maximum distance between the runners at any given time is 38 meters.

Learn more about the general form of equation of circle here:

https://brainly.com/question/10165274

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Answer:

nyee he he he

Step-by-step explanation:

heh

paps undertale

Answer:

10,656

Step-by-step explanation:

I=PRT

I=(9600)(0.074)(15)

Multiply those

I=10,656

In 15 years, will have $28,011.44 if 7.4% interest compounded continuously.

To learn more about interest, refer to

https://brainly.com/question/20690803

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Answer:

X=8

Step-by-step explanation:

first write 14x-2=46+(9x-8) because (the exterior angle of a triangle is always equal to the sum of two interior angle)

Answer:

375, 450, 9, 750

is, always, 75

Step-by-step explanation:

Hope this helps, dont stress out you got this

Answer/Step-by-step explanation:

I = p (1 + r)^t

Interest = 210

Principal = 200

Rate = 1 + 0.05

Time = 1 year

210 = 200 (1.05)^1

Answer:

Answer/Step-by-step explanation:

I = p (1 + r)^t

Interest = 210

Principal = 200

Rate = 1 + 0.05

Time = 1 year

210 = 200 (1.05)^1

Step-by-step explanation:

Answer:

10.94 years

Step-by-step explanation:

We're gonna use the compound interest formula: P = A(1 + r/n)ⁿˣ

P = Final amount (6500)

A = Starting amouint (5000)

r = rate (0.024)

n = number of times applied (12)

x = number of years

6500 = 5000(1 + 0.024/12)¹²ˣ

First, divide both sides by 5000

(1 + 0.024/12)¹²ˣ = 6500/5000 = 1.3

Then solve the equation inside the parenthesis

1.002¹²ˣ = 1.3

Take log₁.₀₀₂ from both sides

12x = log₁.₀₀₂(1.3)

12x = 131.3133

Finally divide both sides by 12

12x/12 = 131.3133/12

x = 10.942775

Step-by-step explanation:

-203+132=-71

1553-(-203)=1756

Answer:

is nonlinear?

Step-by-step explanation:

Answer

A1-  White

A2-  4

B- 3

C- 3

Answer:

1. white

2. 4

3. 3

4. 3

Step-by-step explanation:

Answer:

x^2 -4x-32

Step-by-step explanation:

f(x) = x^2– 5x– 36

g(x) = x + 4

(f +g)(x) = x^2– 5x– 36  +  x + 4

Combine like terms

            = x^2 -4x-32

Answer:

[tex] \longmapsto \: f(x) = {x}^{2} - 5x - 36 \\ \longmapsto \: g(x) = x + 4 \\ \longmapsto(f + g)(x) \\ = f(x) + g(x) \\ = ( {x}^{2} - 5x - 36) + (x + 4) \\ = {x}^{2} - 5x - 36 + x + 4 \\ = \boxed{ {x}^{2} - 4x - 32}[/tex]

9514 1404 393

Answer:

  (a) 8 thousands, 4 tens, 6 ones

Step-by-step explanation:

The number 8,046 can be written in expanded form as ...

  8000 +40+6

Then the base-10 blocks needed to represent this number are ...

Answer:

inequality: x<0

Step-by-step explanation:

Answer:

right out the equation solve

Step-by-step explanation:

Answer:

2.5  * 1/2 or 0.5 = 1.25 * 18 = 22.5

Step-by-step explanation: 22.5

Answer:

Step-by-step explanation:

Use ratios:

Find x by cross - multiplication:

Answer:

5)  35 / 100 = X / 74      X = 2590 / 100 = 25.9

or .35 * 74 = 25.9

6) 78 / 95 = X * 100

X = 7800 / 95 = 82.1 %

or X = 78/95 * 100 = 82.1 %

7)  60/100 * X = 28

X = 2800 / 60 = 46.7

Or .6 * X = 28

X = .28 / .6 = 46.7

Answer:

3/4

Step-by-step explanation:

3*(1/4)=3/4

Answer:

75=3

Step-by-step explanation:

75-75=1x^-12

Answer:

circumference: 12.56 cm

area: 12.56 cm^2

Step-by-step explanation:

1. The formula to find the circumference of a circle is [tex]2\pi r[/tex] or [tex]\pi d[/tex]. In this case, pi is approximated to 3.14, and the diameter is 4.

Therefore, the circumference is 12.56 cm.

2. The formula to find the area of a circle is [tex]\pi r^2[/tex], and in this case, pi is approximated to 3.14. Also, the radius is half the diameter: 4/2 = 2.

Therefore, the area is 12.56 cm^2.

Answer:

x equals 1/2

or x equals 0.5

Answer:

ur answer is right

Step-by-step explanation:

7(-2x+5)=28

7(3x)=28

umyea

Answer:

1. A

2. B

3. A

4. his conclusion should be the juice made group A do less stacks than B

5. give the juice do group B and see if the result changes

Step-by-step explanation:

P.S. = the group A underperfomance actually had nothing to do with the juice, it was because Homer was in this group, lol (JK)

Explanation (2)

•The independent variable is the variable or the thing that the scientist/creator changes.

•the dependent variable is what we measure at the end and it depends on the independent.

•Controlled group/variable is the thing that should be constant in order to have an accurate results and it never changes even if anything changes in the experiment.

Answers:

1. Controlled: Number of stacks of paper

Amount of time

Amount of juice

Number of workers

2. Independent: Amount of juice given to workers

3. Dependent: Number of stacks at the end

•Explanation that helps with your conclution: The juice has nothing to do with how much stacks the workers finish. It depends on how each worker is handled to do their work even when on pressure, also. The juice may be a distraction to the workers because they drink it while working so they're consuming their energy without the help of the juice. Lastly, maybe some of the workers didn't drink the same amount of juice while working on finishing the stacks.

4. CONCLUSION: Group B had much higher results than Group A in 24% Even though they didn't drink the juice. Shows that workers do their job more efficiently and faster when their not distracted while working.

5. (a) Smith should make sure that the 50 workers drink the same amount of juice before they start their work and also make sure that both groups start doing their task at the same time and finish at the same time, for accurate changes.

(b) As Felipe said: try to give the juice to group B and see the result change.

(c) Do the experiment many times to see how long does the juice keep the workers productive while working, by the results change.

!!!!!(CHOOSE ANY ANSWER FROM Q5)!!!!!

Hope this helps, this took me forever.

Answer:

$49320.40

Step-by-step explanation:

Let's work the small steps first. Nicole invests $34,000 into the bank, but the catch is that the value increases by "x%" every month, for 3 years. Since there are 12 months in a year, we know we will have to multiply 12 by 3, which yields us 36 months. Now we multiply our "x" value, which is 1.28% by 36, which yields us 45.06%. When we add that extra 45.06% to the already existing $34,000, the money increases to $49320.40

Your gain was +$15,320.40

If you're wondering what the one year value is, divide 45.06% by 3, and you will get 15.02%. If your instructor/teacher asks for the one year mark, the answer is $39106.80

Your gain was $5106.80

The two year mark would yield Nicole $44,213.60. The rate was 30.04% at two years, which means Nicole gained an extra $10213.60.

I hoped this helped buddy!

Answer:

12 : 22

Step-by-step explanation:

Step-by-step explanation:

3:00 hours and 26 second

Answer:

The width is 7 inches, the length is 15 inches

Step-by-step explanation:

If the width is x inches, then the length is 2x+1 inches. Since the perimeter of a rectangle is 2 times the width plus 2 times the length, the perimeter will be 2x+2(2x+1), which simplifies to 6x+2. Since the perimeter is 44 inches, we get the equation 6x+2=44, which makes x=7. So, the width is 7 and the length is 15.

Answer:

328

Step-by-step explanation:

Just try it