||cu|| = |c| * |u| = c[ magnitude of vector sum of 5i + 12j ] = 3sqrt(5^2 + 12^2)
= 3sqrt(169) = 3(13) = 39 (answer)
Answer:
Centiliters, Liters. 1 cl, 0.01 L. 100 cl, 1 L. 200 cl, 2 L. 300 cl, 3 L. 400 cl, 4 L. 500 cl, 5 L. 600 cl, 6 L. 700 cl, 7 L. 800 cl, 8 L. 900 cl, 9 L. 1000 cl, 10 L. 1100 cl, 11 L.
Answer:
(a) ln(x) = 0
Then 0 < x < 1
(b) e^x > 2
Then ln2 < x < ∞
(a) ln(3x - 17) = 5
x = 55.1377197
ln(a + b) + ln(a - b) - 5ln(c)
= ln[(a² - b²)/c^5]
Step-by-step explanation:
First Part.
(a) ln(x) < 0
=> x < e^(0)
x < 1 ....................................(1)
But the logarithm of 0 is 1, and the logarithm of negative numbers are undefined, we can exclude the values of x ≤ 0.
In fact the values of x that satisfy this inequalities are between 0 and 1.
Therefore, we write:
0 < x < 1
(b) e^x > 2
This means x > ln2
and must be finite.
We write as:
ln2 < x < ∞
Second Part.
(a) ln(3x - 17) = 5
3x - 17 = e^5
3x = 17 + e^5
x = (1/3)(17 + e^5)
= 55.1377197
Third Part.
We need to write
ln(a + b) + ln(a - b) - 5ln(c)
as a single logarithm.
ln(a + b) + ln(a - b) - 5ln(c)
= ln(a + b) + ln(a - b) - ln(c^5)
= ln[(a + b)(a - b)/(c^5)]
= ln[(a² - b²)/c^5]
Answer:
Charlie travelled for 96 minutes . <h2>Explanations : </h2>
Given
• A ride on a rental scooter cost $3 plus 11 cents per minute for a ride ,
,
• Total bill for Charlies ride = $13.56
,
• Let Charlies ride be equal to ,t minutes, long
,
• This is a linear function representing the total bill for Charlies ride as follows :
<h2>Therefore , solving for t , we get that t = </h2>
• t = 96 minutes ,
• This means that Charlie travelled for, 96 minutes ,.
,
• With a total bill of $13.56 , Charlies ride was 96 minutes long.
