Find the center and radius of the circle with the given equation. Then graph
the circle.
x² + y² = 16

Answer:

A = (-7,6)

B = (2,4)

C = (-6,0)

Step-by-step explanation:

A = (-9 + 2, 2 + 4)

B = (0 + 4, 0 + 4)

C = (-8 + 2, -4 + 4)

Answer:

A

Step-by-step explanation:

it's a 45-45-90 triangle, so the legs are the same length and the hypotenuse is the leg length times the square root of 2. Therefore y=6 and x=6*sqrt2

Answer:

6v + 12

Step-by-step explanation:

2(3v+6) = 2 * 3v + 2 * 6 = 6v + 12

Hope this helps =]

We have a linear equation here.

3 - 4x = 12

Subtract 3 from both sides.

3 - 3 - 4x = 12 - 3

-4x = 9

Divide both sides by -4 to find x.

-4x/-4 = 9/-4

x = -9/4

The value of solution of expression is,

⇒ x = - 9 / 14

WE have to given that;

A mathematical expression is,

⇒ 3 - 4x = 12

Now, WE can simplify as;

⇒ 3 - 4x = 12

Add 4x both side,

⇒ 3 - 4x + 4x = 12 + 4x

⇒ 3 = 12 + 4x

Subtract 12 both side, we get;

⇒ 3 - 12 = 14x

⇒ - 9 = 14x

⇒ x = - 9 / 14

Thus, The value of solution of expression is,

⇒ x = - 9 / 14

Learn more about the mathematical expression visit:

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Answer:

[tex]P(X=8) = 0.0194[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

[tex]P(X \ge 1)= 1[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Step-by-step explanation:

Given

[tex]\lambda = 15[/tex]

Poisson distribution is given by:

[tex]P(X=x) = \frac{\lambda^x e^{-\lambda}}{x!}[/tex]

Solving (a): 8 bugs

This implies that:

[tex]x = 8[/tex]

So, we have:

[tex]P(X=8) = \frac{15^8 * e^{-15}}{8!}[/tex]

[tex]P(X=8) = \frac{783.99418938}{40320}[/tex]

[tex]P(X=8) = 0.0194[/tex]

Solving (b): At least 8 bugs

This is represented as: [tex]P(X \ge 8)[/tex]

Using complement rule:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

Where

[tex]P(X<8) = P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5) + P(X=6) + P(X=7)[/tex]

[tex]P(X<8) = \frac{15^1 * e^{-15}}{1!} + \frac{15^2 * e^{-15}}{2!} + \frac{15^3 * e^{-15}}{3!} + \frac{15^4 * e^{-15}}{4!} + \frac{15^5 * e^{-15}}{5!} + \frac{15^6 * e^{-15}}{6!} + \frac{15^7 * e^{-15}}{7!}[/tex]

[tex]P(X<8) = (\frac{15^1}{1!} + \frac{15^2}{2!} + \frac{15^3 }{3!} + \frac{15^4}{4!} + \frac{15^5}{5!} + \frac{15^6}{6!} + \frac{15^7}{7!}) e^{-15}[/tex]

[tex]P(X<8) = (15 + 112.5 + 562.5 + 2109.375 + 6328.125 + 15820.3125 + 33900.6696429) *e^{-15}[/tex]

[tex]P(X<8) = 58848.4821429 *e^{-15}[/tex]

[tex]P(X<8) = 0.0180[/tex]

So:

[tex]P(X \ge 8)= 1 - P(X<8)[/tex]

[tex]P(X \ge 8)= 1 - 0.0180[/tex]

[tex]P(X \ge 8)= 0.9820[/tex]

Solving (c): At least 1

This is represented as: [tex]P(X \ge 1)[/tex]

Using complement rule:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X<1) = P(X = 0)[/tex]

[tex]P(X<1) = \frac{15^0 e^{-15}}{0!}[/tex]

[tex]P(X<1) = \frac{e^{-15}}{1}[/tex]

[tex]P(X<1) = e^{-15}[/tex]

So:

[tex]P(X \ge 1)= 1 - P(X<1)[/tex]

[tex]P(X \ge 1)= 1 - e^{-15[/tex]

[tex]P(X \ge 1)= 0.99999969409[/tex]

[tex]P(X \ge 1)= 1[/tex]

Solving (d): Not more than 1

This implies at most 1.

It is represented as:

[tex]P(X\le 1)[/tex]

It is calculated using:

[tex]P(X\le 1) = P(X = 0) + P(X =1)[/tex]

[tex]P(X = 0) = e^{-15}[/tex]

[tex]P(X=1) = \frac{15^1 * e^{-15}}{1!}[/tex]

[tex]P(X=1) = 15 * e^{-15}[/tex]

So:

[tex]P(X\le 1) = e^{-15} + 15 * e^{-15}[/tex]

[tex]P(X\le 1) = 0.00000489443[/tex]

[tex]P(X\le 1) = 0.0000049[/tex]

Answer:

what grade are u?

Step-by-step explanation:

I'm assuming you want to know what "x"is. If so then for the first one x is 1/7. For the second one x= 5. And the last one is x= 3.

Step-by-step explanation:

To check you just substitute what ever x equals into the equation so 35x+5=10 would be 35(1/7)+5=10 and it should equal 10=10, which means infinite solutions. If you were not trying to find out what x equals then what are you looking for exactly?

Answer:

15

Step-by-step explanation:

Answer:

It says 15 18 is correct

Step-by-step explanation:

Answer: 36.6

Step-by-step explanation: did on delta math

Answer:

Step-by-step explanation:

ok I forgot to tell you the arc PTR would be 126 +54 +14(4) +4 which equals 240 degrees. Answer.

Answer:

The answer to number 6: 230.4(the unit measurement "cm" "mm" etc)

The answer to number 7: 140.673538 rad

Step-by-step explanation:

For number 6: To find area, it is length times width times height. In this case, the length is 7.2. The width is 8. The height is 4.

So length (7.2) times width (8) times height (4).

7.2 times 8 is 57.6

57.6 times 4 is 230.4

For number 7: To find the area it is length times width times height. In this case, the length is 62°. The width is 13. The height is 10.

So length (62°) times width (13) times height (10).

62° times 13 is 14.0673538 rad

14.0673538 rad times 10 is 140.673538 rad

Answer:

3?

Step-by-step explanation:

Answer:

Middle school (also called junior high school)

It starts with grade 6 and ends with grade 8.

Step-by-step explanation:

Step-by-step explanation:

[tex] \sqrt{3} is \: between \: 1.73and1.74[/tex]

Answer:

I'm confused

Step-by-step explanation:

maybe more context?

Answer: 904.32  cubic units.

Step-by-step explanation:

The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]

Substitute pi for 3.14 and radius for 6. 6^3 = 216

[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]

Multiply them together, the answer is 904.32  cubic units.

Answer:

A

Step-by-step explanation:

use the formula A=pi*r^2 to find the answer

Answer:

34.54 ft2

Step-by-step explanation:

You could figure it out by simply it

Answer:

13.356

Step-by-step explanation:

10/100 = 1.4

14-1.4 = 12.6

12.6*6% = 13.356

Answer:

A) 35

Step-by-step explanation:

x + 50 + 95 = 180

x + 145 = 180

x = 180 - 145

x = 35

Answer:

B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

because they are telling you that the 7th graders were randomly chosen out of everyone who rides in a car to school to be fractioned out.

Answer:

C. and D. are correct

Step-by-step explanation:

I solved all of them

A would be 0.5 not 2

B would be 2.5 not 2

E would be 0.5 not 2

hope this helps <3

Answer:

Hiya! I see this is your first question on here, I hope you enjoy the website. Anyways, the answer is 1/4 I believe.

Step-by-step explanation:

15-3=12

3 : 12

1 : 4

P.S. smile for me and have a great day!

Hyp²=ADJ²+OPP²

28²=17²+X²

784=289+x²

x²=784-289

x²=495

x=22

here is your answer 22

Answer:  4

Step-by-step explanation:

2(12) + 6n ≥ 50

24 + 6n ≥ 50

6n ≥ 26

  n ≈ 4

The maximum number of tubes of paint that Kevin can buy is 4.

Answer:

He can make 4 tubs

Step-by-step explanation:

Answer:

[tex]x \geqslant 4[/tex]

Step-by-step explanation:

1) Add 9 to both sides.

[tex]5x \geqslant 11 + 9[/tex]

2) Simplify 11 + 9 to 20.

[tex]5x \geqslant 20[/tex]

3) Divide both sides by 5.

[tex]x \geqslant \frac{20}{5} [/tex]

4) Simplify 20/5 to 4.

[tex]x \geqslant 4[/tex]

Thus, the answer is Option B.

5x−9 ≥ 11

5x ≥ 11 + 9

5x ≥ 20

x ≥ 20/5

x ≥ 4

Done.

Answer:

Square, Quadrilateral, Rhombus, Rectangle

Step-by-step explanation:

Step-by-step explanation:

if u want it by step by step thn tell me i will do that..

Answer:

is this statistics? i will change my answer once u explain to me thank you.

Step-by-step explanation:

Answer:

Its infinite

Step-by-step explanation: