Answer:
h+5(h+4)=40
Brian: 3 1/3 hours
Annie: 39 2/3 hours
Step-by-step explanation:
h+5(h+4)=40
Solve the equation
h+5h+20=40
6h=20
h=10/3 or 3 1/3
Annie = 5(10/3 + 4)= 39 2/3
Careful; (dy/dx)^2 = x^2 cos^2(x) + 2x sin x cos x + sin^2(x).
<span>So, the arc length equals </span>
<span>∫(x = 0 to 2π) √[1 + (x^2 cos^2(x) + 2x sin x cos x + sin^2(x))] dx </span>
<span>= ∫(x = 0 to 2π) √[1 + x^2 cos^2(x) + x sin(2x) + sin^2(x)] dx, via double angle identity. </span>
<span>Let Δx = (2π - 0)/10 = π/5. </span>
<span>Using Simpson's Rule with n = 10, this integral approximately equals </span>
<span>((π/5)/3) * [f(0) + 4 f(π/5) + 2 f(2π/5) + 4 f(3π/5) + 2 f(4π/5) + 4 f(π) + 2 f(6π/5) + 4 f(7π/5) + 2 f(8π/5) + 4 f(9π/5) + f(2π)], </span>
<span>where f(x) = √[1 + x^2 cos^2(x) + x sin(2x) + sin^2(x)]. </span>
<span>------- </span>
<span>I hope this helps!</span>
c: number of carnations
r: number of roses
Rebecca's expression is
r = c + 4
Replacing with the values of the table:
c | r
0 | 0+4 = 4
1 | 1+ 4 = 5
2 | 2+4 = 6
3 | 3+4 = 7
4 | 4+4 = 8
Then, Rebecca is correct.
Isolating c from Rebecca's expression:
c = r - 4
which is Austin's expression. Then, Austin is correct too.
Joe has 3 containers of apples. Each container holds 10.5 pounds of apples.
Joe also has 1 container of pears; the container holds 25.4 pounds but is only half full. What is the total number of pounds of fruit he has?
Answer:
The first one
Step-by-step explanation:
