ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Basic Algebra Videos 43 videos

ACT Math 2.3 Pre-Algebra
2851 Views

ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?

ACT Math 2.4 Pre-Algebra
461 Views

ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?

SAT Math 1.2 Algebra and Functions
359 Views

SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?

See All

Translation into Mathematical Expressions 2538 Views


Share It!


Description:

Rigging your friend's scale so it looks like she's shedding the pounds: being a good friend, or being a total creeper? Translate a word problem into mathematical expressions and find out for yourself. (Our take: don't try this on any of your friends at home.)

Language:
English Language

Transcript

00:04

Translation into Mathematical Expressions, a la Shmoop.

00:09

Slash McFender, lead guitarist for the band Vibradeath is on his way to headline a concert.

00:15

Only one tiny problem...he forgot his guitar at home.

00:19

Thankfully, he has a thick jungle of chest hair which he can pluck to play some tunes.

00:28

Suppose that the frequency of vibration of Slash's chest hair is inversely proportional

00:34

to the hair's length. If one of Slash's hairs is 0.7 inches long

00:43

and vibrates at 5 Hertz... ...what frequency, in Hertz, would a 0.5 inch

00:49

long chest hair have? We start by calling the frequency F and the

00:54

length of the chest hair L. The problem tells us that the formula for

00:59

the frequency of F is one over L. So F equals K over L, where K is the constant

01:07

of proportionality.

01:09

To find K, we can plug in what we know... ...Frequency is equal to 5 in this instance

01:17

and our length is 0.7. By multiplying both sides by 0.7...

01:28

...we see that K equals 3.5. So, plugging this new value into our formula...

01:41

... the frequency F of a 0.5 inch long chest hair must be...

01:51

...7 Hertz. The bad news is that Slash loves Vibradeath's

01:56

new sound so much that he has asked his bandmates to start going shirtless as well.

02:05

He's really redefining the term "hair band."

Related Videos

ACT Math 2.3 Pre-Algebra
2851 Views

ACT Math: Pre-Algebra Drill 2, Problem 3. Which of the following numbers is smallest?

ACT Math 2.4 Pre-Algebra
461 Views

ACT Math: Pre-Algebra Drill 2, Problem 4. Which of the following numbers is largest?

SAT Math 1.2 Algebra and Functions
359 Views

SAT Math: Algebra and Functions Drill 1, Problem 2. Based on the data in the table, what is the maximum heart rate for the average 22-year-old?

Expressions and Basic Operations
6109 Views

What do poetry and basic operations have in common? Watch this video to find out.

SAT Math 2.2 Numbers and Operations
215 Views

SAT Math 2.2 Numbers and Operations. According to the information given, how many times faster is Car A than Car D?