2 years ago

Distributive property 54 divided by 8

Mathematics

1 answer:

const2013 [10]2 years ago

4 0

(50÷8)+(4÷8) this is h answer

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A frog sits at one end of a table which is 2m long. In its first jump the frog goes a distance of 1m along the table, with its s

Phantasy [73]

Ah, this is an infinite sum question, or a sum of geometric sequence
when will the sum reach 1cm of the edge or about 1.99m
so

2m=200cm
within 1cm means at least 1.99m
so
we will use m and not cm for consitancy

sum of geometric sequence is
$S_n= \frac{a_1(1-r^n)}{1-r}$
a1=first term=initial jjump=1
r=common ratio=1/2
n=?, we ar solving for that

so
we want it to equal 1.99 so

$1.99= \frac{1(1- (\frac{1}{2})^n)}{1-\frac{1}{2}}$
$1.99= \frac{(1- (\frac{1}{2})^n)}{\frac{1}{2}}$
$1.99= 2(1- (\frac{1}{2})^n)$
divide both sides by 2
$\frac{1.99}{2} = 1- (\frac{1}{2})^n$
times -1
$\frac{-1.99}{2} = (\frac{1}{2})^n-1$
add 1 or 2/2 to both sides
$\frac{0.01}{2} = (\frac{1}{2})^n$
take the ln of both sides
$ln(\frac{0.01}{2}) = ln((\frac{1}{2})^n)$
$ln(\frac{0.01}{2}) = n ln(\frac{1}{2})$
divide both sides by ln(1/2)
$\frac{ln(\frac{0.01}{2})}{ln(\frac{1}{2})} =n$
use your calculatro to find that n≈7.64386
so on 7th jump, it is not yet at 1cm to the edge but at 8th jump, it is past
so 8th jump

7 0

3 years ago

Find the Mean Absolute Deviation. 12 5 7 8 15 15 2 8

patriot [66]

The mean would be 7 I think I am not sure

8 0

2 years ago

A carton of paper is priced at 27.00 now if the paper goes on sale for 25% off the current price what will be the sale price of

hjlf

Okay, to solve this we simply find 75% of the carton of paper, because 100%-25% = 75%

0.75(27) = 20.25

The carton of paper costs $20.25