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3 years ago

Write an equation for the nth term of the sequence 4, 12, 36, 108, .

Mathematics

1 answer:

amm18123 years ago

8 0

Answer:

26,244

Step-by-step explanation:

First, find the pattern with the numbers you already have. That pattern is × 3.

Since you're already at the fourth term, just keep multiplying your product by 3 until you get to the ninth term.

108 × 3 = 324

324 × 3 = 972

972 × 3 = 2,916

2916 × 3 = 8748

8748 × 3 = 26244

Therefore, your answer is 26,244.

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Which of the following statements is true?

d1i1m1o1n [39]

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3 years ago

The value of a car, C(t), t years after 2011, is modeled by the following function.

lora16 [44]

9514 1404 393

Answer:

Step-by-step explanation:

At t=0, the value is ...

C(0) = 50,000·(0.9^0) -2000 = 48,000

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C(20) = 50,000(0.9^20) -2000 = 6079 -2000 = 4079

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3 years ago

Read 2 more answers

Lesson: 1.08Given this function: f(x) = 4 cos(TTX) + 1Find the following and be sure to show work for period, maximum, and minim

Ber [7]

The given function is

$f(x)=4\cos \text{(}\pi x)+1$

The general form of the cosine function is

$y=a\cos (bx+c)+d$

a is the amplitude

2pi/b is the period

c is the phase shift

d is the vertical shift

By comparing the two functions

a = 4

b = pi

c = 0

d = 1

Then its period is

$\begin{gathered} \text{Period}=\frac{2\pi}{\pi} \\ \text{Period}=2 \end{gathered}$

The equation of the midline is

$y_{ml}=\frac{y_{\max }+y_{\min }}{2}$

Since the maximum is at the greatest value of cos, which is 1, then

$\begin{gathered} y_{\max }=4(1)+1 \\ y_{\max }=5 \end{gathered}$

Since the minimum is at the smallest value of cos, which is -1, then

$\begin{gathered} y_{\min }=4(-1)+1 \\ y_{\min }=-4+1 \\ y_{\min }=-3 \end{gathered}$

Then substitute them in the equation of the midline

$\begin{gathered} y_{ml}=\frac{5+(-3)}{2} \\ y_{ml}=\frac{2}{2} \\ y_{ml}=1 \end{gathered}$

The answers are:

Period = 2

Equation of the midline is y = 1

Maximum = 5

Minimum = -3

3 0

1 year ago

2/4 is more than 1/4?

Mazyrski [523]

Answer:

Yes!

Step-by-step explanation:

Yes, because 2>1.

4 0

3 years ago

Read 2 more answers

Help me please need a answer

snow_tiger [21]

Answer:

2x+30=x+80 (corresponding angles)

2x-x=80-30

x=50

4 0

3 years ago