Working alone, Jack can do a puzzle in 5 hours. With his brother's help, the two can do the same puzzle in 2 hours. How long wou

ld it take Jack's brother to do the puzzle alone?

Mathematics

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Yolanda wanted to buy a total of 6 pounds

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Answer:

No, she did not.

Step-by-step explanation:

Calculate the total expense for the food and then divide by 6. You will see that she falls short.

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Convert 12 565 ft to miles, yards, feet

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Identify the 19th term of a geometric sequence where a1 = 14 and a9 = 358.80. Round the common ratio and 19th term to the neares

tester [12383]

This is a geometric sequence
$a_{n}= a_{1}r^{n-1}$

r signifies the ratio between any two successive terms

We are provided
$a_{1}=14$ and
$a_{9}=358.8$
substitute and solve for r, since we know $a_{1}=14$
$358.8=a_{9}= 14*r^{9-1}$
$358.8= 14*r^{8}$
Divide both sides by 14
$358.8/14= r^{8}$
Take the eighth root of both sides (raising (358.8/14) to the (1/8) power)
1.5=r

sub
$a_{19}= 14*(1.5^{19-1})$
$a_{19}= 14*(1.5^{18})$
$a_{19}= 20690.486320497$
hudnretht
$a_{19}= 20690.49$

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