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Brrunno [24]
2 years ago
5

The music you hear when listening to a magnetic cassette tape is the result of the magnetic tape passing over magnetic heads, wh

ich read the magnetic information on the tape. The length of time a tape will play depends on the length of the tape and the operating speed of the tape player. The formula is T = L S , where T is the time in seconds, L is the length of the tape in inches, and S is the operating speed in inches per second. How long a tape does a police officer need to record a 3-minute confession at an operating speed of 4 1 2 inches per second?
Mathematics
1 answer:
Elden [556K]2 years ago
7 0

Using the given formula T = LS

And given the time is 3 minutes (3 x 60 = 180 seconds)and the speed is 4-1/2 inches per second:

180 = L x 4-1/2

Solve for L by dividing both sides by 4-1/2:

L = 180 / 4-1/2

L = 40

The length should be 40 inches.

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Please help top and bottom.
Helga [31]
1. Perimeter
22a + 2(6a + 8) -4 = p

[I got 22a from 12a + 10a]

2. If p = 250, what is a?

22a + 2(6a + 8) - 4 = 250
Distributive property
22a + 12a + 16 - 4 = 250
Add like terms
34a + 12 = 250
Subtract 12 by both sides
34a = 238
Divide 34 by both sides
a = 7
3 0
2 years ago
WILL GIVE BRAINLIEST, THANKS, AND 5 STARS!<br> PLEASE HELP ME!
Bogdan [553]

Answer:

-4 and 4

Step-by-step explanation:

<u>Method 1</u>

Apply Difference of Two Squares Formula: a^2-b^2=(a+b)(a-b)

Given  x^2-16=0

Rewrite 16 as 4²

Therefore, a^2=x^2 and b^2=4^2

\implies a = \sqrt{x^2}=x

\implies b=\sqrt{4^2} =4

\implies x^2-16^2=(x+4)(x-4)

\implies (x+4)(x-4)=0

\implies (x+4)=0 \implies x=-4

\implies (x-4)=0 \implies x=4

<u>Method 2</u>

Given equation:

x^2-16=0

Add 16 to both sides:

\implies x^2-16+16=0 + 16

\implies x^2=16

Square root both sides:

\implies \sqrt{x^2}=\sqrt{16}

\implies x=\pm4

Therefore, x = -4, x = 4

6 0
2 years ago
The point A(5.
NeX [460]

The point (6, 6) is the mid-point of A and B. Then the coordinate of the point B is (7, 5).

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A (5, 7) is reflected over the point (6, 6) and its image is point B. Then the point (6, 6) is the mid-point of the A and B. Then the coordinate of the point B will be

\rm (x_2 , y_2) = (2x -x _1, 2y - y_1)\\\\(x_2 , y_2) = (2 \times 6 - 5, 2 \times 6- 7)\\\\(x_2 , y_2) = (12-5,12-7)\\\\(x_2 , y_2) = (7, 5)

More about the coordinate geometry link is given below.

brainly.com/question/1601567

#SPJ1

5 0
1 year ago
Sara said, "If you divide my age by 3 and then add 8 years, the result is my age."
kaheart [24]

Answer:

Sara is 12

Step-by-step explanation:

12÷3=4 4+8=12

6 0
3 years ago
Read 2 more answers
Determine whether the following statement is a tautology, contradiction, or neither (~PVQ) ~Q Tautology Contradiction • Neither
Tom [10]

Answer:

The statement (\lnot P \lor Q)\rightarrow \lnot Q is neither a tautology nor a contradiction.

Step-by-step explanation:

A tautology is a statement that is always true.

A contradiction is a statement that is always false.

We are going to use a truth table to determine whether the statement (\lnot P \lor Q)\rightarrow \lnot Q is a tautology, contradiction, or neither

A truth table shows how the truth or falsity of a compound statement depends on the truth or falsity of the simple statements from which it's constructed.

The statement (\lnot P \lor Q)\rightarrow \lnot Q is compound by these simple statements:

  • \lnot P
  • \lnot Q
  • (\lnot P \lor Q)

and we are going to use these simple statements to build the truth table.

The last column contains true and false values. Therefore, the statement is neither a tautology nor a contradiction.

6 0
3 years ago
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