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3 years ago

Por que necesitamos los modelos Matemáticos

Mathematics

2 answers:

Veronika [31]3 years ago

6 0

Answer:

TRANSALATE!!!!

Step-by-step explanation:

nadya68 [22]3 years ago

5 0

Answer:

Para qué sirve un modelo matemático? Los modelos matemáticos son utilizados para analizar la relación entre dos o más variables. Pueden ser utilizados para entender fenómenos naturales, sociales, físicos, etc.

Step-by-step explanation:

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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.

Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is $\dfrac{15}{2}.$

To find:

The sum of first six terms.

Solution:

We have,

$S_2=6$

$S_4=\dfrac{15}{2}$

Sum of first n terms of a GP is

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

Putting n=2, we get

$S_2=\dfrac{a(1-r^2)}{1-r}$

$6=\dfrac{a(1-r)(1+r)}{1-r}$

$6=a(1+r)$ ...(ii)

Putting n=4, we get

$S_4=\dfrac{a(1-r^4)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}$

$\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}$

$\dfrac{15}{2}=6(1+r^2)$ (Using (ii))

Divide both sides by 6.

$\dfrac{15}{12}=(1+r^2)$

$\dfrac{5}{4}-1=r^2$

$\dfrac{5-4}{4}=r^2$

$\dfrac{1}{4}=r^2$

Taking square root on both sides, we get

$\pm \sqrt{\dfrac{1}{4}}=r$

$\pm \dfrac{1}{2}=r$

$\pm 0.5=r$

Case 1: If r is positive, then using (ii) we get

$6=a(1+0.5)$

$6=a(1.5)$

$\dfrac{6}{1.5}=a$

$4=a$

The sum of first 6 terms is

$S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}$

$S_6=\dfrac{4(1-0.015625)}{0.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Case 2: If r is negative, then using (ii) we get

$6=a(1-0.5)$

$6=a(0.5)$

$\dfrac{6}{0.5}=a$

$12=a$

The sum of first 6 terms is

$S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}$

$S_6=\dfrac{12(1-0.015625)}{1.5}$

$S_6=8(0.984375)$

$S_6=7.875$

Therefore, the sum of the first six terms is 7.875.

5 0

3 years ago

The Vertex is the part of a quadratic equation where the graph changes_________?

Georgia [21]

I think it slopeeeeeeeeeeeeeeeeeeee

8 0

3 years ago

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This person made an error. what is it, and what is the right answer?

NeX [460]

Answer:

Base area (B) should not be added.

Step-by-step explanation:

Base area should not be added as cone is not solid. Only Lateral surface area is sufficient in order to find the required paper.

7 0

3 years ago

I really need help guys im begging

soldier1979 [14.2K]

Havent done this in years but i think it would just be 12

3 0

3 years ago

Read 2 more answers

Can someone explain how to do numbers 41, 44, and 47 and show all work please?

pantera1 [17]

41. Degree 3 = x^3 (maximum power in the equation)

Zeros: -1, 1, 3

(x-1)(x+1)(x-3)=f(x) <--- expand as necessary

44. Zeros: -4, 0, 2

(x+4)x(x-2)= f(x) <--- expand as necessary

47. Multiplicity is how many times a particular number is 0 for a given function.

(x+1)(x-1)^3(x-2)^3 <-- not too sure about this one, google definition of multiplicity?

Hope I helped :)

8 0

4 years ago