radio station KROQ broadcast in all directions to a distance of 40 miles how many square miles are in the stations broadcast area

Answers

Answer 1

Answer:

$\bf \textit{area of a circle}\n\n A=\pi r^2~ \begin{cases} r=radius\n[-0.5em] \hrulefill\n r=40 \end{cases}\implies A=\pi (40)^2\n\n\n A=1600\pi \implies A\approx \stackrel{mi^2}{5026.5}$

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Tina Thompson scored 34 points in a recent basketball game without making any 3-point shots. She scored 23 times, making several free throws worth 1 point each and several field goals worth two points each. How many free throws did she make? How many 2-point field goals did she make?

Answers

11 field goals
12 free throws

x = free throws and y = field goals

x + y = 23....x = 23 - y
x + 2y = 34

23 - y + 2y = 34
-y + 2y = 34 - 23
y = 11.....so she made 11 field goals

x + y = 23
x + 11 = 23
x = 23 - 11
x = 12...and she made 12 free throws

Each of the following tables defines a relationship between an input x and an output y. Which of the relationships represent functions? Table A x -8 -3 0 6 y 24 4 9 72 Table B x 9 15 24 38 y -14 -16 53 29 Table C x 15 24 24 100 y -16 53 29 7 Table D x -8 6 0 6 y 24 4 9 72 a. Table A and Table C b. Table A and Table B c. Table B and Table C d. Table C and Table D Please select the best answer from the choices provided

Answers

The relationship representing the function as per the input and output value is given by option b. Table A and Table B.

In order for a relationship between an input x and an output y to represent a function,

each input value x must be associated with exactly one output value y. Let's analyze the given tables:

Table A:

x -8 -3 0 6

y 24 4 9 72

Table B:

x 9 15 24 38

y -14 -16 53 29

Table C:

x 15 24 24 100

y -16 53 29 7

Table D:

x -8 6 0 6

y 24 4 9 72

Let's examine the options:

a. Table A and Table C: Table A represents a function because each x value corresponds to a unique y value.

Table C has duplicate x values, which means it doesn't represent a function.

b. Table A and Table B: Both Table A and Table B represent functions because each x value is associated with a single unique y value in both tables.

c. Table B and Table C: Table B does not represent a function

because the x value 24 is associated with two different y values (-16 and 53) in Table B.

Table C does not represent a function either because of the duplicate x value 24.

d. Table C and Table D: Similar to options a and c,

Table C does not represent a function due to duplicate x values.

Table D represents a function as each x value is associated with a unique y value.

Therefore, based on the analysis above, the correct answer for the function is option b. Table A and Table B.

Learn more about function here

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Answer: is B. table A and Table B

Step-by-step explanation:

What is pi/π used for in math?

Answers

Its used to find the area and circumference of a circle

Answer:

It is the 16th letter of the Greek alphabet

Used to represent the mathematical constant.

Pi is the ratio of the circumference/diameter.

Hope this helps you!

Solve for , , and .
-6x+3y-z=5
3x-y+5z=-10
-x+2y+3z=-1

Answers

Answer:

x=1, z=-2, y=3

Step-by-step explanation:

Substitution Method

Which statement illustrates why cosine is an even function?cos(pie/4) = -cos(5pie/4)
cos(pie/4) = -cos(4pie/4) cos(-pie/4) = cos(pie/4)
cos(-7pie/6) = cos(5pie/4)