1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lianna [129]
3 years ago
13

For the function given state the period f(t) =6sin(3t-pi/6)-1

Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0
\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}
\\\\
f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\\\
f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}

\end{array}

\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{  A}}|\\\\
\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\\\
\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}\\\\
\end{array}

\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{  D}}\\
\qquad if\ {{  D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}


now, with that template in mind, let's take a peek at yours

\bf \begin{array}{lllcclll}
f(t)=&6sin(&3t&-\frac{\pi }{6})&-1\\
&\uparrow &\uparrow &\uparrow &\uparrow \\
&A&B&C&D
\end{array}\\\\
-----------------------------\\\\
period\qquad \cfrac{2\pi }{B}\iff\cfrac{2\pi }{3}
You might be interested in
Jason has $70 in a savings account that earns 5% interest, compounded annually.
kvv77 [185]

Answer:

$77.18

Step-by-step explanation:

A = total amount

P = principal

I = interest

A = P(1 + r/n)^n·t

A = 70(1+.05)²

A = 70(1.05)²

A = 77.175

I = A - P

5 0
3 years ago
Read 2 more answers
The computers of six faculty members in a certain department are to be replaced. Two of the faculty members have selected laptop
marta [7]

Answer:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.

Step-by-step explanation:

At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 95 miles per hour. Suppose that the statistician indicated that the serve speed distribution was skewed to the left. Which of the following values is most likely the value of the median serve speed? Explain your answer.

a. What is the probability that both selected setups are for laptop computers?

b. What is the probability that both selected setups are desktop machines?

c. What is the probability that at least one selected setup is for a desktop computer?

d. What is the probability that at least one computer of each type is chosen for setup?

3 0
3 years ago
g A jacket regularly sells for $135.00. The sale price is $60.75. Find the percent decrease of the sale price from the regular p
Alenkasestr [34]

Answer:

55%

the percent decrease of the sale price from the regular price is 55%

Step-by-step explanation:

Percentage decrease is the percentage change in the sales price (regular and new)

Percentage decrease %∆P = ∆P/Pr × 100%

∆P = change in sales price = $135 - $60.75

Pr = regular price = $135

Substituting the values;

%∆P = (135-60.75)/135 × 100%

%∆P = 55%

the percent decrease of the sale price from the regular price is 55%

5 0
3 years ago
A pole is 3.4 m tall casts a shadow that is 1.8 m long. At the same time, a nearby tower casts a shadow that is 39.75 m long. Ho
KATRIN_1 [288]

Answer:

75

Step-by-step explanation:

For this, you need to solve a proportion-

3.4      x

----- = -----

1.8      39.75

3.4*39.75=135.15

135.15/1.8= 75.0833.....

75.0833.. is rounded to 75

7 0
3 years ago
Neeeed help plssss solve just one to see how the way to solve others because I don’t understand the question ❤️ pls pls pleaaaas
spin [16.1K]
The descriminant is b^2-4ac so for 26 it would be -5^2 - 4 (1) (7). The quadratic formula is -B plus or minus the square root of b squared minus 4ac over 2a
8 0
3 years ago
Other questions:
  • After attending a church cookout, a number of the attendees are admitted to the emergency room with nausea, vomiting, and diarrh
    11·1 answer
  • What number is the same as 5 tens + 12 ones
    5·2 answers
  • the total cost of four boxes of pasta is $14 There are 16 oz of pasta in each box of the same amount what is the maximum number
    10·1 answer
  • Connect A, B, and C to make a closed polygon.​
    8·1 answer
  • Solve log3(x+1)=log6(5-x) by graphing. what equations should be graphed​
    14·2 answers
  • How to solve this problem
    15·1 answer
  • A ball is drawn at random from a box containing 6 red balls, 4 white balls and 5 blue
    12·1 answer
  • Please help me<br><br><br><br> Excellent help needed
    5·2 answers
  • Find the slope/
    13·1 answer
  • Can u help me please
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!