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2 years ago

How many numbers are part of the solution set of the

Mathematics

1 answer:

lozanna [386]2 years ago

5 0

Answer:

Infinitely many

Step-by-step explanation:

I did it on edge 2020

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A leprechaun places a magic penny under a girls pillow. The next night there are 2 magic pennies under her pillow. The following

kiruha [24]

Answer:

After 47 days she will have more than 90 trillion pennies.

Step-by-step explanation:

At the beginning there was 1 penny. At the second day the amount of pennies under the pillow became 2.

The amount of pennies doubled each day. So the series is,

$1,2,4,8,16,32,.....$

This series is in geometric progression.

As the pennies from each of the previous days are not being stored away until more pennies magically appear so the sum of series will be,

$S_n=\dfrac{a(r^n-1)}{r-1}$

where,

a = initial term = 1,

r = common ratio = 2,

As we have find the number of days that would elapse before she has a total of more than 90 trillion, so

$\Rightarrow 90\times 10^{12}\le \dfrac{1(2^n-1)}{2-1}$

$\Rightarrow 90\times 10^{12}\le \dfrac{2^n-1}{1}$

$\Rightarrow 90\times 10^{12}\le 2^n-1$

$\Rightarrow 2^n\ge 90\times 10^{12}+1$

$\Rightarrow \log 2^n\ge \log (90\times 10^{12}+1)$

$\Rightarrow n\times \log 2\ge \log (90\times 10^{12}+1)$

$\Rightarrow n \ge \dfrac{\log (90\times 10^{12}+1)}{\log 2}$

$\Rightarrow n \ge 46.4$

$\Rightarrow n\approx 47$

8 0

2 years ago

Oml pls helppp

USPshnik [31]

Answer:

Step-by-step explanation:

y > 2/3x - 1/5

y ≥ 3/2x + 1/5

y ≤ 2/3x + 1/5

y < 3/2x - 1/5

(Assume that the question want you to draw a graph)

Remember:

> or < is a dotted line

≥ or ≤ is a solid line

8 0

2 years ago

Read 2 more answers

A plane is uniquely determined by three non-collinear points. What is the maximum possible number of planes that can be determin

Daniel [21]

Answer:

6 planes

Step-by-step explanation:

4 0

2 years ago

Could somebody please help

bearhunter [10]

Lenght is 6, area is 12

8 0

2 years ago

Please solve this, i need help on a test :)

musickatia [10]

Answer:

b = 5

Step-by-step explanation:

28.95 + 34b ≤ 200

34.05b ≤ 200 - 28.95

34.05b ≤ 171.05

b ≤ 5.023

b = 5 is the answer

check: 5 * 34.05 + 28.95 = 199.2

if b=6: 6 * 34.05 + 28.95 = 233.25

6 0

2 years ago