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bulgar [2K]
3 years ago
15

You are in a cabin and it is pitch black. You have one match on you. Which do you light first, the newspaper, the lamp, the cand

le, or the fire?
(ಠ益ಠ)
Mathematics
1 answer:
aev [14]3 years ago
5 0

Honestly, the most intelligent solution would be to light the candle first, since it has a longer duration and then I can light the lamp, and then I can light the newspaper. Then, I will use the newspaper to light the fire.

You might be interested in
Identify whether the series sigma notation infinity i=1 15(4)^i-1 is a convergent or divergent geometric series and find the sum
const2013 [10]

Answer:  The correct option is

(d) This is a divergent geometric series. The sum cannot be found.

Step-by-step explanation: The given infinite geometric series is

S=\sum_{i=1}^{\infty}15(4)^{i-1}.

We are to identify whether the given geometric series is convergent or divergent. If convergent, we are to find the sum of the series.

We have the D' Alembert's ratio test, states as follows:

Let, \sum_{i=1}^{\infty}a_i is an infinite series, with complex coefficients a_i and we consider the following limit:

L=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}.

Then, the series will be convergent if  L < 1 and divergent if  L > 1.

For the given series, we have

a_i=15(4)^{i-1},\\\\a_{i+1}=15(4)^i.

So, the limit is given by

L\\\\\\=\lim_{i\rightarrow \infty}\dfrac{a_{i+1}}{a_i}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i-1}}\\\\\\=\lim_{i\rightarrow \infty}\dfrac{15(4)^i}{15(4)^{i}4^{-1}}\\\\\\=\dfrac{1}{4^{-1}}\\\\=4>1.

Therefore, L >1, and so the given series is divergent and hence we cannot find the sum.

Thuds, (d) is the correct option.

7 0
4 years ago
Read 2 more answers
I need help with finding 25 different numbers that add up to 51. It must be a six digit number. Example would be 6+7+5+8+9+6 = 4
USPshnik [31]
What you could do it is. Start adding numbers and once you get close to
6 numbers See if you are close to 51 and switch around the numbers to make it equal 51 hope this helps
6 0
3 years ago
On a number line, what is the distance between –14 and –3?
Allisa [31]

Answer:

12

Step-by-step explanation:

if you find it difficult you can always write is down as a piece of side working

-14

-13

-12

-11

-10

-9

-8

-7

-6

-5

-4

-3

7 0
3 years ago
Sam the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. How fa
Liula [17]

Answer:

24.59 feet

Step-by-step explanation:

Let x represent the distance between Sam and the bird.

We have been given that am the owl is looking down at a 24° angle from the top of a tree that is 10 ft tall, when he spots a bird on the ground. We are asked to find the distance between Sam and the bird.

We can see from our attachment that Sam, the bird and angle of depression forms a right triangle with respect to ground. We can see that side 10 ft is opposite side and and side x is hypotenuse for the 24 degree angle.

\text{sin}=\frac{\text{Opposite}}{\text{Hypotenuse}}

\text{sin}(24^{\circ})=\frac{10}{x}

x=\frac{10}{\text{sin}(24^{\circ})}

x=\frac{10}{0.406736643076}

x=24.5859333557

x\approx 24.59

Therefore, the bird is approximately 24.59 feet away from Sam.

8 0
3 years ago
PLZZZZZZZ I need help i will mark brainlest
bekas [8.4K]

ANSWER

My answer is in the photo above

7 0
3 years ago
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