20.015
Because there are 3 numbers before a thousand so 3 numbers behind the decimal are the thousandths.
We can find this using the formula: L= ∫√1+ (y')² dx
First we want to solve for y by taking the 1/2 power of both sides:
y=(4(x+1)³)^1/2
y=2(x+1)^3/2
Now, we can take the derivative using the chain rule:
y'=3(x+1)^1/2
We can then square this, so it can be plugged directly into the formula:
(y')²=(3√x+1)²
<span>(y')²=9(x+1)
</span>(y')²=9x+9
We can then plug this into the formula:
L= ∫√1+9x+9 dx *I can't type in the bounds directly on the integral, but the upper bound is 1 and the lower bound is 0
L= ∫(9x+10)^1/2 dx *use u-substitution to solve
L= ∫u^1/2 (du/9)
L= 1/9 ∫u^1/2 du
L= 1/9[(2/3)u^3/2]
L= 2/27 [(9x+10)^3/2] *upper bound is 1 and lower bound is 0
L= 2/27 [19^3/2-10^3/2]
L= 2/27 [√6859 - √1000]
L=3.792318765
The length of the curve is 2/27 [√6859 - √1000] or <span>3.792318765 </span>units.
1. 3.75+4.50=8.25- 5.25= $3 profit
She made 8.25 off selling bracelets to others, which adds money to her "account", but also spent money on crafting supplies, which results in her subtracting from her "account."
Answer:
37 pages per hour
Step-by-step explanation:
Given that :
Time Given to read = 45 minutes ; 45 / 60 = 0.75
Number of pages readable ad by Davida within the given time frame = 27 3/4 pages
David's reading rate in pages per hour :
Number of pages read / time taken (hrs)
[27 3/4] ÷ (45/60)
[111 / 4] ÷ (45/60)
(111 / 4 ) * (60/45)
(111 * 60) / (4 * 45)
6660 / 180
= 37 pages per hour
Answer:
T is 130 the angle is Obtuse
Step-by-step explanation:
