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3 years ago

Which table represents a proportional relationship that has a constant of proportionality equal to 0.8?

Mathematics

1 answer:

Andrej [43]3 years ago

5 0

Answer:

Column #1 - 0,5,10,12.5

Column #2 - 0.8

Step-by-step explanation:

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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

3 years ago

Ayuda por favor :”( .....

frosja888 [35]

Letter A 4 Liters jdnsiws

5 0

3 years ago

What number divided by 6 leaves a remainder of 5, divided by 5 leaves a remainder of 4, divided by 4 leaves a remainder of 3, an

maria [59]

Answer:

59

Step-by-step explanation:

If a number is divided by $n$ and leaves a remainder $(n-1)$ , then the number $(n+1)$ will be completely divisible by $n$ .

Therefore, when we say a number $x$ , when divided by 6, it leaves a remainder 5, then ( $x+1$ ) will be a multiple of 6.

When we say a number $x$ , when divided by 5, it leaves a remainder 4, then ( $x+1$ ) will be a multiple of 5.

When we say a number $x$ , when divided by 4, it leaves a remainder 3, then ( $x+1$ ) will be a multiple of 4.

When we say a number $x$ , when divided by 3, it leaves a remainder 2, then ( $x+1$ ) will be a multiple of 3.

So, $x+1$ is a common multiple of 3, 4, 5 and 6.

Taking LCM of 3, 4, 5 and 6, we get 60.

So, the number 60 - 1 = 59 is the least such number.

3 0

3 years ago

What is 25% divided by 800

mihalych1998 [28]

It would be 0.0003125

4 0

3 years ago

Read 2 more answers

Which parent function is f(x) = |xl?

soldier1979 [14.2K]

Answer:

The parent function is f(x) = x

Step-by-step explanation:

This parent function represents all the positive and negative values for x and y.

The function f(x) = |x| represents all the positive and negative values for x and only the positive values for y.

If this answer is correct, please make me Brainliest!

6 0

3 years ago