1.-Responde la pregunta: ¿para qué
me sirve el teorema de Pitágoras en la.
vida cotidiana?​

Answer:

1) 8,388,608 grains of wheat.

2) 16,777,215 grains of wheat.

3) 239,674.5 pounds.

Step-by-step explanation:

Question 1)

We know that on the first square, there is 1 grain of wheat.

On the second, 2 grains of wheat.

On the third, 4 grains of wheat.

And on the fourth, 8 grains of wheat.

Therefore, we have a geometrically increasing sequence. It looks like:

1, 2, 4, 8...

Therefore, to find the number of grains on the 24th square, we can write an explicit formula.

The standard form for the explicit formula for a geometric sequence is:

[tex]x_n=a(r)^{n-1}[/tex]

Where a is the initial amount, r is the common ratio, and n is the nth term (starting from 1).

We know that the initial term a is 1 because there’s one grain of wheat on the first square.

And the common ratio will be 2 because each square has double the amount of the previous square.

So, substitute 1 for a and 2 for r. This yields:

[tex]x_n=1(2)^{n-1}\\[/tex]

We can simplify this:

[tex]x_n=2^{n-1}[/tex]

So, to find the amount of wheat on the 24th square, we simply need to substitute 24 for n and evaluate. So:

[tex]x_{24}=2^{24-1}=2^{23}[/tex]

Evaluate. Use a calculator:

[tex]x_{24}=8,388,608[/tex]

Therefore, on the 24th square, there are 8,388,608 grains of wheat.

Question 2.1)

We want to find the total number of grains of wheat on the board at this time.

In other words, we want to find the sum of our geometric sequence when n is 24.

The formula for the sum of a geometric series is:

[tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Where rⁿ is the value of the number of terms n, r is the common ratio, and a is the initial term.

We want to find the sum after 24 times. So, n is 24.

So, substitute 24 for n, 2 for r, and 1 for a. This yields:

[tex]S_{24}=\frac{(1)(2^{24}-1)}{2-1}[/tex]

Evaluate. Use a calculator:

[tex]S_{24}=16, 777, 215[/tex]

Therefore, the total sum of the number of grains of wheat at the board at the 24th square is 16,777,215.

Question 2.2)

And to find the weight, we will just have to multiply our total amount by 1/7000. So:

[tex]W=16777215(\frac{1}{70})[/tex]

Use a calculator:

[tex]W=239,674.5\text{ lbs}[/tex]

So, the total weight is 239,674.5 pounds.

Answer:

Step-by-step explanation:

Thank you ☺️☺️☺️

Answer:

32

Step-by-step explanation:

to get the area of a parallelogram you just do base times height

Answer:

$1673

Step-by-step explanation:

$900+$290+$55+$30+$70+$145+$87+$40+$56=$1673

Answer:

Step-by-step explanation: the first time you get 0.75 and the second time you get 0.125 hope this helped

Answer:

f(x) is always 5.

Step-by-step explanation:

The formula has a fixed value. Y is the f(x) in the function, and since there is no X, then Y is as said: 5. For example, when X is -7, the f(x), or Y, is still 5, and so on.

Answer:

The coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Step-by-step explanation:

to calculate the point 3/10 of the way from A to B, let us first find the difference in the coordinates of the point

Change in x coordinate: x₁ = -3,  x₂ = 11

= x₂ - x₁ = 11 - (-4) = 11 + 4 = 15

3/10 of 15 = 0.3 × 15 = 4.5

This means that the point on the x axis is 4.5 points away from x₁

= -4 + 4.5 = 0.5

Change y coordinate: y₁ = -8,   y₂ = 4

= y₂ - y₁ = 4 - (-8) = 4 + 8 = 12

3/10 of 12 = 0.3 × 12 = 3.6

This means that the point on the y axis is 3.6 points away from y₁

= -8 + 3.6 = -4.4

Therefore the coordinate of the point 3/10 of the way from A to B = (0.5, -4.4)

Answer:

(7.13 × 10^-3) x 40 = 285.2 x 10^-3 = 2.9 x 10^-1

Step-by-step explanation:

I  think this is the answer i hope if it right or not but aleast I try on it .

Answer:

B and C are similar to A but E is same as A.

Answer:

Option A. is correct

Step-by-step explanation:

Like terms are those terms that have same variables of same powers. Terms that are not like terms are said to be unlike terms.

For example [tex]2x^3,7x^3[/tex] are like terms and [tex]5x^2,9x^5[/tex] are unlike terms.

Given polynomial is [tex]3x^3+x^2-8x^5+2x^3-4x[/tex]

Like terms need to be combined to write the polynomial in standard form

Here, like terms are [tex]3x^3,2x^3[/tex]

Option A. is correct.

Answer:

im guessing 35mph

Step-by-step explanation:

Answer:

30 mph and 40 mph

Step-by-step explanation:

It is the same with the speed and water.

Answer:

400 40

Step-by-step explanation:

Answer:

took me time to try and answer your question hope it proves helpful

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Answer:

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Step-by-step explanation:

Given

Line A:

[tex]y = -\frac{2}{3}x - 4[/tex]

Line B:

[tex](-2,1)[/tex]

Required

Determine the equation of Line B

First, we need to determine the slope of A using

[tex]y =mx + b[/tex]

Where:

[tex]m = slope[/tex]

By comparison:

[tex]y = -\frac{2}{3}x - 4[/tex]

[tex]m = -\frac{2}{3}[/tex]

Since A and B are perpendicular:

The slope of B (m2) is:

[tex]m_2 = \frac{-1}{m}[/tex]

[tex]m_2 = -1/\frac{-2}{3}[/tex]

[tex]m_2 = -1 * \frac{-3}{2}[/tex]

[tex]m_2 = \frac{3}{2}[/tex]

The equation of B is calculated as thus:

[tex]y - y_1 = m(x - x_1)[/tex]

Where

[tex](x_1,y_1) = (-2,1)[/tex]

[tex]m = \frac{2}{3}[/tex]

So, the equation becomes

[tex]y - 1 = \frac{2}{3}(x - (-2))[/tex]

[tex]y - 1 = \frac{2}{3}(x + 2)[/tex]

Open bracket

[tex]y - 1 = \frac{2}{3}x + \frac{4}{3}[/tex]

Make y the subject

[tex]y = \frac{2}{3}x + \frac{4}{3} + 1[/tex]

[tex]y = \frac{2}{3}x + \frac{4 + 3}{3}[/tex]

[tex]y = \frac{2}{3}x + \frac{7}{3}[/tex]

Answer:

A) You climbed 15 feet up a tree before coming back down 15 feet

Answer:

3^7

Step-by-step explanation:

27 = 3^3

81 = 3^4

3+4 = 7

Answer:

$18234

Step-by-step explanation:

The total distance he travelled in kilometer is 8.2 km

Distance is the total movement of an object without any regard to direction.

Given:

On Monday he walked = 1, 200, 000 mm

On Tuesday he walked= 2,400 m

On Wednesday he walked = 4.6 km

As, 1mm = 1/100,000

1,200,000 mm = 1.2 Km

and, 1 m =1/1000 km

2400m = 2.4 km

Hence, the total distance he travelled = 1.2+ 2.4 + 4. 6 = 8.2 km

Learn more about this concept here:

https://brainly.com/question/3128392

#SPJ2

Answer:

it can grow .125 inches an hour

Step-by-step explanation:

if thats not what u were looking for commet it and ill try to help more

Answer:

.125 inches per hour

Step-by-step explanation:

you divide .25 by 24, since there are 24 hours in a day and get .0104.... and then you multiply that by 12, since there are 12 inches in a foot and get .125 inches per hour.

Answer:

The next three terms are 55,89 and 144

Step-by-step explanation:

We want to predict the next three numbers in the pattern

3, 5, 8 , 13 , 21 , 34

The difference between two successive terms is written between them.

Thus, we have

3 2 5 3 8 5 13 8 21 13 34

So the rule here is to add the next term to the previous so as to get the next coming term

Thus, we have;

34 + 21 = 55

55 + 34 = 89

89 + 55 = 144

Answer:

The answer is below

Step-by-step explanation:

The electrical resistance R of a wire varies inversely with the square of its diameter d:

R ∝ 1 / d

Let k represent the constant of proportionality, hence we can represent the statement as an equation:

[tex]R=\frac{k}{d^2}\\ \\when\ R=0.5 \Omega,d=2\ mm\\\\0.5=\frac{k}{2^2} \\\\k=2\\\\The\ equation\ becomes :\\\\R=\frac{2}{d^2}\\ \\When\ d=3, we\ find\ R\\\\R=\frac{2}{3^2} \\\\R=0.22\ \Omega[/tex]

Answer:

4.5

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

The answer would be 25% because to get your answer you have to

first subtract the original amount by the newest amount which in this case is

96-72=?

After you have subtracted this you will get you answer of 24

96-72=24

Ans than what you do is take the number of how many people left and put it on top of the original amount like this

24/96 so in other words dividing

Than you will get your answer of 25%

Answer:

Step-by-step explanation:

sea level means negative so it have to be C -0.5 foot

problem solved

Answer:

0.712 cents per pound

Step-by-step explanation:

Since we are given the exact amount of each ingredient as well as the price for that amount then we simply need to calculate how much each pound of the confetti actually costs. We do this by adding together all of the pound of all of the ingredients and then adding together all of the costs. Lastly, we divide the cost by the total amount of pounds to find the cost per pound of the confetti like so...

3lbs. + 5lbs. + 3lbs. = 11 lbs.

$2.46 + $3.05 + $2.33 = $7.84

$7.84 / 11 lbs. = 0.712 cents per pound

Therefore, the cost per pound of the confetti is 0.712 cents per pound

By "limit definition", I assume you mean the derivative. We have

[tex]f'(c) = \displaystyle\lim_{x\to c}\frac{f(x)-f(c)}{x-c}[/tex]

For [tex]f(x)=\frac1{x-1}[/tex] and c = 2, we have

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac1{x-1}-1}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{\frac{1-(x-1)}{x-1}}{x-2}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac{2-x}{(x-1)(x-2)}[/tex]

[tex]f'(2)=\displaystyle\lim_{x\to2}\frac1{1-x}=-1[/tex]

The tangent line to (2, 1) has slope -1. Using the point-slope formula, it has equation

y - 1 = - (x - 2)

y = - x + 3