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2 years ago

Y = -3x + 4 y = 3x - 21

Mathematics

1 answer:

Sladkaya [172]2 years ago

8 0

Answer:

x=4 1/6 y=-3 1/2

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:

<em>After </em><em>47</em><em> days she will have more than 90 trillion pennies.</em>

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

Find the height of this triangle.

Bogdan [553]

Answer:

$\sqrt{3}$

Step-by-step explanation:

x^2 + 1 = 4

x^2 = 3

$\sqrt{3}$

7 0

3 years ago

Willis has noticed that when time has been one of the variables analyzed by a scatterplot he has looked at, it has always been t

damaskus [11]

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

The missing graph has been attached with the answer.

<h3>What is a Scatter Plot ?</h3>

These are Cartesian Points and it represents relationship between two variables.

It is given that

Will's Hypothesis is time can never be a dependent variable.

Although from the graph plotted it can be seen that the time is dependent on distance travelled and

the in a scatter plot , the dependent variable is plotted on y axis and here the time is plotted on y axis ,

therefore the scatter plot invalidate Willis’s hypothesis.

It invalidates his hypothesis because it is possible for the time a trip takes to depend on the distance that is traveled during the trip.

Option C is the right answer.

To know more about Scatter Plot

brainly.com/question/13984412

#SPJ1

5 0

2 years ago

Use scalar multiplication to determine the coordinates of the vertices of the dilated figure.

zimovet [89]

Answer:

this is the answer

Step-by-step explanation:

7 0

3 years ago

Which function is the inverse of f(x)= B^X

Scrat [10]

Answer:

Step-by-step explanation:

Let's retype that as y = b^x. The inverse of this function is log y = x

which you could also write as y = ln x

If you had y = e^x, the inverse function would be y = ln x.

Note that if you let ln x be the input to y = e^x, the result would be just 'x,' which confirms that these two functions are inverses of one another.

8 0

3 years ago