Answer:
28 boxes
Step-by-step explanation:
52 boxes - 24 boxes= 28 boxes to sell left
7+2+15= 24 boxes sold
Answer:
y
=
−
4
+2x/3
Step-by-step explanation:
Answer:
[4, 6]
Step-by-step explanation:
∑ₙ₌₁°° (x − 5)ⁿ / n²
Use ratio test.
lim(n→∞)│aₙ₊₁ / aₙ│< 1
lim(n→∞)│[(x − 5)ⁿ⁺¹ / (n+1)²] / [(x − 5)ⁿ / n²]│< 1
lim(n→∞)│[(x − 5) n² / (n+1)²│< 1
│x − 5│< 1
-1 < x − 5 < 1
4 < x < 6
If x = 4, ∑ₙ₌₁°° (4 − 5)ⁿ / n² = ∑ₙ₌₁°° (-1)ⁿ / n², which converges.
If x = 6, ∑ₙ₌₁°° (6 − 5)ⁿ / n² = ∑ₙ₌₁°° 1 / n², which converges.
So the interval of convergence is [4, 6].
Answer:
f = 11
Step-by-step explanation:
The height of mast is 19.21 feet
<em><u>Solution:</u></em>
Given that, 25-ft rope is stretched from the top of a ship's mast to a cleat on the deck
The cleat is 16 ft from the base of the mast
To find: height of mast
The ship mast, deck and base forms a right angled triangle
The figure is attached below
AC = length of rope = 25 feet
BC = distance between base of mast and cleat = 16 feet
AB = height of mast = ?
Pythagorean theorem, states that the square of the length of the hypotenuse is equal to the sum of squares of the lengths of other two sides of the right-angled triangle
By above definition for right angled triangle ABC,
Thus height of mast is 19.21 feet