What is another name for line n? Oline ST line P line QP line

1. Explain how measurements taken by standard rulers and scales are limited,

Stolb23 [73]

Answer:

Please find the answer in the explanation

Step-by-step explanation:

RULER

measurements taken by ruler can be limited due to absolute errors, zero error and uncertainties.

1.) If the end of the ruler is worn out giving rise to a zero error

2.) The calibration of the ruler may give rise to another systematic error if the makings are incorrect.

3.) If the object to be measured is not on the same level as graduated surface of the ruler, the angle at which the scale is viewed will affect the result. This is known as parallax error.

SCALE

Systematic error can occur in a scale when the scale is wrongly calibrated.

Also, reading a scale from different angles introduces a variable parallax error.

random uncertainty could be a parallax error caused by taking readings from different angles. This can be reduced by the use of a mirror behind the scale and viewing normally.

7 0

4 years ago

The original price of a ski jacket was $240. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off th

Sveta_85 [38]

Hi!

240*.75 = 180
180*.9 = 162

$162

Hope this helps!

8 0

3 years ago

Find the following Euler Totients using Euler’s Theorem, as explained on p.409 of the text (10 points each): a.ϕ(13) b.ϕ(81) c.ϕ

ad-work [718]

(a) $\varphi(13)=12$ since 13 is prime.

(b) $81=3^4$ , and there are 81/3 = 27 multiples of 3 between 1 and 81, which leaves 81 - 27 = 54 numbers between 1 and 81 that are coprime to 81, so $\varphi(81)=54$ .

(c) $100=2^2\cdot5^2$ ; there are 50 multiples of 2, and 20 multiples of 5, between 1 and 100; 10 of these are counted twice (the multiples of 2*5=10), so a total of 50 + 20 - 10 = 60 distinct numbers not coprime to 100, leaving us with $\varphi(100)=100-60=40$ .

(d) $102=2\cdot3\cdot17$ ; there are 51 multiples of 2, 34 multiples of 3, and 6 multiples of 17, between 1 and 102. Among these, we double-count 17 multiples of 2*3=6, 3 multiples of 2*17=34, and 2 multiples of 3*17=51; we also triple-count 1 number, 2*3*17=102. There are then 51 + 34 + 6 - (17 + 3 + 2) + 1 = 70 numbers between 1 and 102 that are not coprime to 102, and so $\varphi(102)=102-70=32$ .