How to get answer by JKismyhusbandbae: To get the answer you would multiply
Pi(3.14) times Radius which is R otherwise 80 square times H which is height 1.3.
It will need around 26138.050... and more it is not a repeating decimal I just simplified it.
The unit price for the 7.48 is $2 kg per bag and the unit price for the 7.94 is $2 per kg bag, there is no difference in unit rates of both the bag.
<h3>What is unit rate?</h3>
A unit rate means a rate for one of something.
Given that, Susan paid $15.84 for a 7.48 kg bag of dog food. A few weeks later, she paid $16.58 for a 7.94 kg bag at a different store.
15.48/7.48 = $2/kg
16.58/7.94 = $2/kg
Hence, there is no difference in between both the bags, hence either of them are better.
For more references on unit rates, click;
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Answer:
5. C - 180ft²
6. D - 120m³
Step-by-step explanation:
5.
(6.5 x 11) = 71.5
(6 x 2.5) = 15
(6 x 11) = 66
(2.5 x 11) = 27.5
6.
((7.5 x 4)/2)(8) = 120
Answer:
∑ (-1)ⁿ⁺³ 1 / (n^½)
∑ (-1)³ⁿ 1 / (8 + n)
Step-by-step explanation:
If ∑ an is convergent and ∑│an│is divergent, then the series is conditionally convergent.
Option A: (-1)²ⁿ is always +1. So an =│an│and both series converge (absolutely convergent).
Option B: bn = 1 / (n^⁹/₈) is a p series with p > 1, so both an and │an│converge (absolutely convergent).
Option C: an = 1 / n³ isn't an alternating series. So an =│an│and both series converge (p series with p > 1). This is absolutely convergent.
Option D: bn = 1 / (n^½) is a p series with p = ½, so this is a diverging series. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
Option E: (-1)³ⁿ = (-1)²ⁿ (-1)ⁿ = (-1)ⁿ, so this is an alternating series. bn = 1 / (8 + n), which diverges. Since lim(n→∞) bn = 0, and bn is decreasing, then an converges. So this is conditionally convergent.
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Answer:
(-2, 1)
Step-by-step explanation:
Rotating a point 180° about the origin in either direction is equivalent to reflecting it across the origin. The effect is to negate both coordinates.
(x, y) ⇒ (-x, -y) . . . . . rotation 180°
(2, -1) ⇒ (-2, 1) . . . . . P' rotated 180° from P
The coordinates of the rotated point are (-2, 1).