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allochka39001 [22]
2 years ago
13

Find the 14th term of the arithmetic sequence - 4x - 1, - 9x - 6 , -14x-11

Mathematics
1 answer:
Yanka [14]2 years ago
3 0

Answer:

-69x-66

Step-by-step explanation:

1) given: a₁=-4x-1; a₂=-9x-6; a₃=-14x-11. Find: a₁₄-?

2) a₁₄=a₁+13d, where d - the difference between neighbor-terms;

3) d=a₂-a₁; ⇔ d= -9x-6+4x+1= -5x-5;

4) a₁₄= -4x-1+13*(-5x-5)= -69x-66.

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100 POINTS!!!!
Vladimir [108]

<em>There is no specific requirement in the question, but I'm assuming you need to compute the time needed for Alexis reach 1,000,000 Instagram followers</em>

Answer:

t= 462.82\ days

Step-by-step explanation:

<u>Exponential Growth </u>

When the number of observed elements grows as the previous value multiplied by a constant ratio, we have exponential growth. The formula to model such situations is

\displaystyle f(x) = f_o(1 + r)^t

Where f_o is the initial value of f, 1 + r is the constant ratio, and t is the time expressed in half days (12 hours)

The initial value is 100 Instant followers, thus:

\displaystyle f(x) = 100(1.01)^t

We need to know when the number of followers will reach 1,000,000. Setting up the equation

\displaystyle 100(1.01)^t=1,000,000

Simplifying by 100

\displaystyle (1.01)^t=10,000

Taking logarithms

\displaystyle t\ log(1.01)=log\ 10,000

\displaystyle t\ log(1.01)=4

Solving for t

\displaystyle t=\frac{4}{log(1.01)}=925.63 periods of 12 hrs

t= 462.82\ days

7 0
3 years ago
Can someone please help me with this
Anit [1.1K]

180 = 96 + 2x + x + 12

180 = 96 + 3x + 12

180 = 108 + 3x

-108  -108

72   =  3x

/3       /3

24 = x

7 0
2 years ago
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Can someone help me with this math homework please!
azamat

It is not necessary that the function decreasing over a given interval always be negative.

A function f(x) (value) decreases as x increases.

This does not mean that value of f(x) is negative.

It can have positive number as range.

7 0
2 years ago
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Which values are within the range of the piecewise-defined function? f(x) = StartLayout enlarged left-brace 1st Row 1st column 2
Otrada [13]

Answer:

the answer is below frum ed

Step-by-step explanation:

y= -6

Y= -4

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Alja [10]

Answer:

900

Step-by-step explanation:

10% de 9000 es 900

Trabajando el 10% de 9000

Escribe 10% como 10100

Dado que, encontrar la fracción de un número es lo mismo que multiplicar la fracción por el número, tenemos

10100 de 9000 = 10100 × 9000

Por tanto, la respuesta es 900

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