You randomly choose one of the tiles shown below. Find the favorable outcomes of the Event.

Answer:

Step-by-step explanation:

Standard form of a circle is given by,

(x - a)² + (y - b)² = r²

Here, (a, b) is the center and 'r' is the radius of the circle.

For a circle having center (8, -4) and radius r = 1

Equation of the circle will be,

(x - 8)² + (y + 4)² = 1²

(x - 8)² + (y + 4)² = 1

Option (1) is the answer.

Question (2)

Circle with the center (-1, 0) and a point (2, -4) on it,

Radius of the circle = Distance between the center and the given point on                                         circumference

                                = [tex]\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}[/tex]

                                = [tex]\sqrt{(-1-2)^2+(0+4)^2}[/tex]

                                = [tex]\sqrt{9+16}[/tex]

                                = 5

Therefore, equation of the circle will be,

(x + 1)² + (y - 0)² = 5²

(x + 1)² + y² = 25

Answer:

50%

Step-by-step explanation:

the increase is 60 so divide that by the original number; 60/120=0.5

now we have to change the decimal to a percent. multiply by 100 to do that and we get 50%.

Answer:

Step-by-step explanation:

[tex]\Delta \%=100\left(\frac{final-initial}{initial}\right)\\ \\ \Delta \%=100\left(\frac{180-120}{120}\right)\\ \\ \Delta \%=100\left(\frac{60}{120}\right)=50\% [/tex]

Answer:

2) $25

3) $-110

4) $-50

Step-by-step explanation:

Answer:

Step-by-step explanation:

8-4(2+ (5)2) /12

8-4 (2+25)/12

8-4 (27)/12

4(27) /12

108/12

= 9

Answer:

C.5/3

Step-by-step explanation:

5 up and 3 to the side

Answer:

C is correct

Step-by-step explanation:

Answer: No you are not wrong

Step-by-step explanation:

Answer:

3.5

Step-by-step explanation:

i'm smart

Answer:

It will take 10.96 hours for 90% of the lead to decay.

Step-by-step explanation:

The radioactive isotope of lead, Pb-209, decays at a rate proportional to the amount present at time t

This means that the amount can be modeled by the following function:

[tex]A(t) = A(0)e^{-rt}[/tex]

In which A(0) is the initial amount and r is the decay rate.

Has a half-life of 3.3 hours.

This means that [tex]A(3.3) = 0.5A(0)[/tex]. We use this to find r.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]0.5A(0) = A(0)e^{-3.3r}[/tex]

[tex]e^{-3.3r} = 0.5[/tex]

[tex]\ln{e^{-3.3r}} = \ln{0.5}[/tex]

[tex]-3.3r = \ln{0.5}[/tex]

[tex]r = - \frac{\ln{0.5}}{3.3}[/tex]

[tex]r = 0.21[/tex]

So

[tex]A(t) = A(0)e^{-0.21t}[/tex]

How long will it take for 90% of the lead to decay?

This is t for which [tex]A(t) = 0.1A(0)[/tex], that is, 100 - 90 = 10% of the initial amount.

[tex]A(t) = A(0)e^{-rt}[/tex]

[tex]0.1A(0) = A(0)e^{-0.21t}[/tex]

[tex]e^{-0.21t} = 0.1[/tex]

[tex]\ln{e^{-0.21t}} = \ln{0.1}[/tex]

[tex]-0.21t = \ln{0.1}[/tex]

[tex]t = -\frac{\ln{0.1}}{0.21}[/tex]

[tex]t = 10.96[/tex]

It will take 10.96 hours for 90% of the lead to decay.

Answer:

a trigong i think

Step-by-step explanation:

Answer:

24000 Lines.

Step-by-step explanation:

960x25=24000

Answer:

24,000

Step-by-step explanation:

just multiply 960 x 25

Answer:

567

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Answer:

To find the x intercept substitute 0 for y and solve for x. To find the y intercept substitute 0 for x and solve for y.

X intercept: (-2,0)

Y intercept: (0,5/2)

im not sure if you looking for the X and Y intercept for the second equation but if you are the

X intercept: (5/2,0)

Y intercept: (0,-5)

Answer:

hey vanessa its me caden....

Step-by-step explanation:

(sorry i cant help with the problem....)

The names of the vertices (or corners) are the letters next to them. However you may need to write the plot points, so you would look at the left side or the    y axis and count where the dot is as a number. Lets say its D. D is 4 on the y axis. Then you would go straight down to find the x axis. It is right over three. than you would write it with the x axis ALWAYS first. So D is (3,4).

Hope it helped

Answer:

p=3

Step-by-step explanation:

Step-by-step explanation:

8p = 24

p=3

HOPE it helps you ..

Answer:

3/2

Step-by-step explanation:

Let x be the unknown number.

If twice a number added to 3:  2x+3

is divided by the number plus 3:  (2x+3)/3

the result is three halves:  (2x+3)/3 = 3/2

(2x+3)/3 = 3/2

Multiply both sides by 3:

2x + 3 = 9/2

Subtract 3 from both sides:

2x = 9/2 - 3 = 9/2 - 6/2 = 3/2

Divide both sides by 2:

x = 3/4

Check:

(2x+3)/3 = 3/2

(2*(3/4)+3)/3 = 3/2

(6/4 + 3)/3 = 3/2

(18/4)/3 = 3/2

6/4 = 3/2

3/2 = 3/2

Check!

Answer:

ASA!

Step-by-step explanation:

I'll explain why in the comment

Answer:

6 outside

18 in the jar

Step-by-step explanation:

Answer:

6 11/12

Step-by-step explanation:

Answer:

I think the answer is 2y + 3x = -4 but I think is wrong.

Step-by-step explanation:

you just move the numbers to the opposite side.

Answer:

Yes

Step-by-step explanation:

BC ll EF

Answer:

$15.78

Step-by-step explanation:

I) Remove tax:

$50.18 - $2.84 = $47.34

II) Construct an equation to find the cost of each shirt:

47.34 = 3s

III) Solve:

Divide each side by 3:

15.78 = s

Each shirt costed $15.78

Answer:

15.78

Step-by-step explanation:

Answer:

god

Step-by-step explanation:

Answer:

turn it 90 degrees, hope this helps

Step-by-step explanation:

Answer:

so go to the 120 degree line and make sure the line is straight across from zero and thin dray a line going from 120 down to the bottom of where the zero is  

Step-by-step explanation: