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3 years ago

12

Please, solve this exercice:

1 answer:

MrMuchimi3 years ago

4 0

$1+2+2^2+2^3+2^4+...+2^{2011}\\\\a_1=1;\ a_2=1\cdot2=2;\ a_3=2\cdot2=2^2;\ a_4=2^2\cdot2=2^3\\\vdots\\a_{2012}=2^{2010}\cdot2=2^{2011}$

$The\ sum\ of\ a\ terms\ of\ geometric\ progression:S_n=\frac{a_1(1-r^n)}{1-r}\\\\a_1=1;\ r=2\\\\subtitute:\\\\S_{2012}=\frac{1(1-2^{2012})}{1-2}=\frac{1-2^{2012}}{-1}=2^{2012}-1\\\\Only\ that...(606\ digits,\ if\ you\ want\ how\ length\ this\ number)$

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What is the probability that a number selected at random from the set {2,3,7,12,15,22,72,108} will be divisible by both 2 and 3?

enot [183]

Answer: 3/8
There are only three numbers in there that 2 and 3 can go into evenly.

The probability that you will randomly select one of those numbers is 3/8.

-Brainly Answerer

5 0

4 years ago

Simply the following 5 1/3 -7 5/6 + 6 1/4

lana66690 [7]

Answer:

$3 \frac{3}{4}\\$ / 3.75

Step-by-step explanation:

Step 1: Make all the mixed numbers, improper fractions:

$5 \frac{1}{3} = \frac{16}{3}$

$7\frac{5}{6} = \frac{47}{6}$

$6\frac{1}{4} =\frac{25}{4}$

In order to add/subtract fractions, they must all have a common denominator, the smallest common denominator for all these fractions is 12. And so in order to make 12 the denominator, we must now multiply all the fractions by their multiple.

$\frac{16}{3} = \frac{64}{12}$

$\frac{47}{6} = \frac{94}{12}$

$\frac{25}{4} = \frac{75}{12}$

Time to solve:

$\frac{64}{12} -\frac{94}{12} + \frac{75}{12} =$

$\frac{-30}{12} + \frac{75}{12} =$

$\frac{45}{12}$

Simplify:

$\frac{45}{12} = \frac{15}{4}$

Convert to a mixed number:

$3 \frac{3}{4}$

Hope this helps!

8 0

3 years ago

Colin gets £x wages each week. After he pays his tax of £t, he

kupik [55]

Answer:

They will each get ;

(x-t)/2 - 60

Step-by-step explanation:

Here, we want to know the amount of money that Colin and his wife gets

we start by subtracting the necessary terms

Mathematically, that would be;

x-t-120

So what each of them get will be;

(x-t-120)/2

= (x-t)/2 - 60

4 0

3 years ago

Y = – 1.3(x + 3)2 – 9

Naddika [18.5K]

Given equation, y = – 1.3(x + 3)2 – 9 is in slope intercept form.

Step-by-step explanation:

Slope intercept form standard formula:

y = mx + c

where,

y= y intercept

x= x intercept

m = slope

c = constant

We are given:

y = - 1.3(x + 3)2 - 9

y = - 2.6x + 7.8 - 9

y = -2.6x -1.2

So,

Slope = m = -2.6

constant = 1.2

6 0

4 years ago

At Sam’s Warehouse, a member pays $25 a year for a membership, and then buys all products at the regular store prices. A non-mem

Alecsey [184]

Answer:

$y = 25 + x$ --- Members

$y = 1.05x$ --- Non-members

Step-by-step explanation:

Given

$x \to store\ price$

$y\to total\ amount$

Members

$Membership =\$25$

Non-members

$Rate = 5\%$ increase

For the members, the equation is:

$y = Membership + Store\ price$

$y = 25 + x$

For non-members, the equation is:

$y = Store\ price * (1 + Rate)$

$y = x * (1 + 5\%)$

$y = x * (1.05)$

$y = 1.05x$

8 0

3 years ago