Which recursive formula defines the sequence?<br><br> f(1) = 6, f(4) = 12, f(7) = 18

Please help me with this right away. Please show the work

Nina [5.8K]

Look at the picture.

Definitions:

$\sin\theta=\dfrac{y}{r}\\\\\cos\theta=\dfrac{x}{r}\\\\\tan\theta=\dfrac{y}{x}\\\\\cot\theta=\dfrac{x}{y}$

We have:

$\tan\theta=-\dfrac{2}{3}$ and Quadrant II (x < 0, y > 0)

Therefore x=-3 and y = 2. Calculate r:

$r=\sqrt{(-3)^2+2^2}=\sqrt{9+4}=\sqrt{13}$

Substitute to the formula of cosine:

$\cos\theta=\dfrac{-3}{\sqrt{13}}=-\dfrac{3}{\sqrt{13}}\cdot\dfrac{\sqrt{13}}{\sqrt{13}}=-\dfrac{3\sqrt{13}}{13}$

Answer: a.

3 0

3 years ago

The points (3, 24) and (7, 56) represent points of a function where y, the number of photographs, varies directly with x, th

julsineya [31]

$\bf (\stackrel{x_1}{3}~,~\stackrel{y_1}{24})\qquad
(\stackrel{x_2}{7}~,~\stackrel{y_2}{56})
\\\\\\
slope = m\implies
\cfrac{\stackrel{photographs}{\stackrel{rise}{ y_2- y_1}}}{\stackrel{album~pages}{\stackrel{run}{ x_2- x_1}}}\implies \cfrac{56-24}{7-3}\implies \cfrac{32}{4}\implies \cfrac{\stackrel{photographs}{8}}{\stackrel{album~pages}{1}}$

$\bf \rule{34em}{0.25pt}\\\\
\cfrac{\stackrel{photographs}{400}}{\stackrel{album~pages}{50}}\implies \cfrac{\stackrel{photographs}{8}}{\stackrel{album~pages}{1}}\leftarrow \textit{50 pages album, hold 400 photos}$

8 0

3 years ago

Read 2 more answers

An opinion poll asks a random sample of adults whether they favor banning ownership of handguns by private citizens. A commentat

andreev551 [17]

Answer:

(b) H0: p = 0.5; Ha: p > 0.5

Step-by-step explanation:

p represents the population proportion.

A null hypothesis is a statement from the population parameter which is either rejected or accepted (fail to reject) upon testing. It is expressed using the equality sign.

An alternate hypothesis is also a statement from the population parameter which negates the null hypothesis and is accepted if the null hypothesis is rejected. It is expressed using any of the inequality signs.

3 0

3 years ago

The circumference of a circle is 47.1 and the diameter of the circle is 15. Which best represents the value of π? 47.1/15 7.54/7

Vlad1618 [11]

Answer: 47.1/15

Step-by-step explanation:

We define Circumference by C= pie X D[diameter]

Hence pie= C/ D= 47.1/15

3 0

3 years ago

How were Renaissance artists able to support themselves and their work?

9966 [12]

Answer: Artists carried a special status in Renaissance society. They were respected; they were admired; they were practically worshiped.

Step-by-step explanation: High Renaissance (1475-1525) - A rising interest in perspective and space gave the art even more realism. Great artists such as Michelangelo, Leonardo da Vinci, and Rafael flourished during this period.

4 0

3 years ago

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Which recursive formula defines the sequence? f(1) = 6, f(4) = 12, f(7) = 18