graph: y = 3 sin (1/3 * x) - 2
Answers
Please the explanation of this question on how to graph a sinusoidal function for further information about the graph of the resulting expression.
How to graph a sinusoidal function
Sinusoidal functions have a period of 2π and represent a kind of symmetical bounded functions. In this case, the given expression have a period of 6π and is bounded between -5 and 1.
The procedure to graph the given expression is summarized below:
Construct an horizontal axis from 0 to 6π.Construct a vertical axis that goes through the horizontal axis and is bounded between -5 and 1.Evaluate the function for x-values with equal intervals.Add the resulting points to the graph and match all the points in-between by following the +x semiaxis.Lastly, we present the outcome derived from the given procedure in the image attached below.
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Related Questions
A bookstore is deciding what price it should charge for a certain book. After research, the store finds that if the book's price is $p$ dollars (where $p \le 40$), then the number of books sold per month is $120-3p$. What price should the store charge to maximize its revenue?
Answers
Answer:
$20
Step-by-step explanation:
revenue would be price * quantity
p ( 120-3p)
-3p^2 + 120p = revenue max will occur at p = - b/2a = - 120/((2)(-3))
p max rev = 20
What is the cube root?
Answers
Answer:
its 4/5
Step-by-step explanation:
cube of four is 64 and cube of 5 is 125
Answer:
4 / 5
Step-by-step explanation:
∛( 64 / 125 )
= ∛64 / ∛125
64 can be simplified as 4 x 4 x 4.
∛64
= ∛ ( 4 x 4 x 4 )
= 4
125 can be written as 5 x 5 x 5.
∛125
= ∛ ( 5 x 5 x 5 )
= 5
∛ ( 64 / 125 ) = 4 / 5
The perimeter of a rectangular pool is 60 ft. It is 10 1/2 feet wide. How long is the pool?
Answers
Answer: 19.5ft
Step-by-step explanation: L represents length and b represents width or breadth
Find the stepsteps in the file.
Form an expression for the sum of three consecutive odd integers if the smallest number is x.
(difference between consecutive odd integers is 2)
Answers
Answer:
3x + 6.
Step-by-step explanation:
That would be x + x +2 + x + 4
= 3x + 6.
Verify this by adding 7 9 and 11:
7 + 9 + 11 = 27
3(7) + 6 = 21 + 6 = 27.
6.
A game uses a special deck of cards with 40 cards numbered from 1 to 40. You draw a card from the
shuffled deck:
a
What is the probability of drawing a card that is an even number? (1 point)
b.
What is the probability of drawing a card that can be divided by 5? (1 point)
с.
What is the probability of drawing a card that can be divided by 10? (1 point)
Answers
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
a.
There are 20 even numbers between 1 and 40.
The probability of drawing an even number.
= 20/40
= 1/2
b.
There are 8 numbers between 1 and 40 that can be divided by 5 (5, 10, 15, 20, 25, 30, 35, and 40).
The probability of drawing a card that can be divided by 5.
= 8/40
= 1/5
c.
There are 4 numbers between 1 and 40 that can be divided by 10 (10, 20, 30, and 40).
The probability of drawing a card that can be divided by 10.
= 4/40
= 1/10
Thus,
The probability of drawing an even number is 1/2.
The probability of drawing a card that can be divided by 5 is 1/5.
The probability of drawing a card that can be divided by 10 is 1/10.
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Write the inverse of 6x + 8y= 13 in f-1 (x) notation.
Answers
Answer:
Step-by-step explanation:
6x + 8y = 13
8y = 13 - 6x
y = (13 - 6x) / 8
f(x) = (13 - 6x) / 8
x = (13 - 6f^-1(x)) / 8
8x = 13 - 6f^-1(x)
6f^-1(x) + 8x = 13
f^-1(x) = (13 - 8x) / 6
9. A tissue box is shaped like a rectangular
prism. The tissue box measures 5.2 cm wide,
9.6 cm long, and 6 cm tall. Approximately what
is the volume of the tissue box?
Answers
Volume of the box = 5.2 × 9.6 × 6
= 299.52 ≈ 300 cm³ (approx)
Write (-4,3) and (-5,-2) in slope intercept form
Answers
• There is a rug you want to purchase for your apartment at Wal-Mart. The
length of the rug is (2x-9) and the width of the rug is (x+5). What is the
total area of the rug? Solve the problem using distributive property. Write
the answer as a trinomial.
Answers
Answer
12x-9x-45 (put a 2 above the x on the 12)
Step-by-step explanation:
(2x-9)(x+5)
2x(x) = 2x
2x(5) = 10x
-9(x) = -9x
-9(5) = -45
2x^2+10x^2-9x-45
2x^2+10x^2 = 12x^2
12x^2-9x-45
Solve the system of equations using elimination:
-3х — бу =-6 and
-4х — бу = -4.
Answers
Answer:
let's see....
lil info about elimination method:
it has to do with elimination of an entire value and coefficients meaning to get rid of them entirely! so to do that you must have two identical values.
look at -6 in the first equation and the other -6 below it in the second equation.
if you have something like that, then just look for a symbol like - or + that will eliminate them
so we use the - (minus) sign and just subtract the first equation from the second, you would get -x =2.
so x cannot be negative...
so x = -2.
( Incase the numbers aren't the same, you have to do something to make the numbers same but if you have it like that up⬆️ then just use the symbol that would eliminate those same numbers to give you x immediately)
I hope this helps
PLEASE HELP ME WITH THIS
Select the correct answer.
Function w is a nonlinear function. Which representation could represent function w?
Answers
Answer:
D
Step-by-step explanation:
ABC are linear so it has to be d
If 8x+2y=−2 is a true equation, what would be the value of −3(8x+2y)?
Answers
Answer:
+6
Step-by-step explanation:
8x+2y=2so,
-3(8x+2y)
-3(-2)
-3×-2
remember -×- is a + so,
the answer is +6
Answer:
6Step-by-step explanation:
Given
8x + 2y = -2Multiply both sides by -3
-3(8x + 2y) = -2(-3)-3(8x + 2y) = 6A plant is already 13.25 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=0,09x+13,25
What is the plant's height after 20 months?
PLEASE HELP ME SOLVE THISSSS
Answers
H = 0.09 (20) + 13.25
H = 1.80 + 13.25
H = 15.05 m
The previous answer is wrong because they interpreted the 9 as a .09 so this is who they are wrong
How many lines of symmetry does the figure have?
Will mark brainlyest!
Answers
4
hope it helps....!!!!
A walk-in path BE in a park intersects two sides of the park at their midpoint. You walk from point D to E , from E to B, from B toC, and back to point D. How many yards did you walk
Answers
See attached image.
No measurements were given for the park, so I made an assumption to demonstrate how the calculation might be done,. Adjust for the actual measurements.
How do I find the measures of angles a,b, and c. I included a picture
Answers
Angle a) - Angles opposite each other equal each other
Angle b) - sum of angles in a triangle should equal 180. The right angle is 90 and you already know angle a)
Angle c) - the flat angle on a line should be equal to 180. So part of it is 65 rest is the rest of 180
A phone company charges $0.15 per minute for the first 3 minutes and $0.08 for each additional minute.
Find the cost of a 26 minute phone call.
O A $1.69
OB. $1.99
O C. $2.29
O D. $2.44
O E $2.53
Answers
Explanation
0.15 x 3 is 0.45
23 minutes additional minutes so
23 x .08 = 1.84
0.45 + 1.84 is 2.29
Camila is curious about the average length of the female blue whales her organization monitors. She takes a
random sample of 4 female blue whales from this population. Their average recorded length is ő = 78 m and
their standard deviation is 8. = 10 m. The distribution of lengths in the sample is roughly symmetric with no
obvious outliers.
Based on this sample, which of the following is a 95% confidence interval for the mean length (in meters) of
female blue whales?
Choose 1 answer
(46.18, 109.82)
B
(62.09, 93.91)
(66.24, 89.77)
Answers
Using the t-distribution, as we have the standard deviation for the sample, the 95% confidence interval is (71.63, 84.36).
What is a t-distribution confidence interval?The confidence interval is:
[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]
In which:
[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.The critical value, using a t-distribution calculator, for a two-tailed 95% confidence interval, with 4 - 1 = 3 df, is t = 3.1824.
The parameters are given as follows:
[tex]\overline{x} = 78, s = 10, n = 4[/tex]
Hence, the bounds of the interval are given by:
[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 78 - 3.1824\frac{10}{\sqrt{4}} = 71.63[/tex]
[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 78 + 3.1824\frac{10}{\sqrt{4}} = 84.36[/tex]
The 95% confidence interval is (71.63, 84.36).
More can be learned about the t-distribution at https://brainly.com/question/16162795
Answer:
(62.09, 93.91)
Step-by-step explanation:
The correct answer on Khan
Please help me, I will mark a brainiest
Answers
Answer:
..... :P
Step-by-step explanation:
I'm not sure man try asking a tutor
Which is equivalent to this expression?
(z + )(27+ + 3z + 5)
A. 2? + 67% + 30
B. Z + 152? + 23% + 30
C. 22° + 672 + 30
D. 22° + 152? + 23z + 30
Answers
Answer:
D
Step-by-step explanation:
(z + 6)(2z² + 3z + 5)
Each term in the second factor is multiplied by each term in the first factor, that is
z(2z² + 3z + 5) + 6(2z² + 3z + 5) ← distribute parenthesis
= 2z³ + 3z² + 5z + 12z² + 18z + 30 ← collect like terms
= 2z³ + 15z² + 23z + 30
When solving the equation -3a^2=7a-3 using the quadratic formula, what values should be used for a, b, c
1. a=3, b=7, and c=3
2. a= -3, b=7, and c =-3
3. 3, b=-7, and c=-3
4. a= -3, b= -7, and c=3
Answers
-3a^2 - 7a + 3 = 0
In order now. A is first one B is second one and C is third one.
Answer is 4
According to the line plot, how much more total time did the students who studied for 3/4 hour spend studying than the students who studied for 1/4 hours?
Answers
Answer:
2/4 or 1/2
Step-by-step explanation:3/4 minus 1/4 is 2/4
Which graph best represents the solution set of -4x ≤ 6y − 54?
Answers
Answer:
a
Step-by-step explanation:
if its the same one i saw, the answer is a :)
James opens 2 different savings accounts and deposits $12,000 into each one. account i earns 2.2% interest compounded annually. account ii earns 2.2% annual simple interest. there are no additional deposits or withdrawals. what is the sum of the total balances of these accounts at the end of 7 years? question 7 options: $27,168.00 $27,696.00 $27,949.08 $27,822.53
Answers
The Total Interest Combine will be interest from the compounded invesestment and that of the simple interest investement $13,974.54 plus $13,848.00 which is 27 822.54 US$
Compound InterestGiven Data
Principal = $12,000Rate = 2.2%Time = 7 yearsCalculation For Compound Interest:
First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 12,000.00(1 + 0.022/1)(1)(7)
A = 12,000.00(1 + 0.022)(7)
A = $13,974.54
Calculation For Simple Interest:
First, converting R percent to r a decimal
r = R/100 = 2.2%/100 = 0.022 per year.
Solving our equation:
A = 12000(1 + (0.022 × 7)) = 13848
A = $13,848.00
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what is is a true statement?
Answers
Answer:
The Second option, all parallelagrams are quadralatterals.
Step-by-step explanation:
because it for 1, makes the most sense, 2 most look like rhombuses which is a tilted square.
Need help with this problem
Answers
Answer:
44
Step-by-step explanation:
i done this
A group of 50 people were asked their gender and if they liked cats. the data from the survey are shown in the venn diagram. determine the value for each variable in the two-way table. a = b = c = d = e =
Answers
Answer:
a = 13, b = 28, c = 6, d = 22, e = 31
Step-by-step explanation:
Kyra had a sheet of stickers. She gave 5/8 of the sheet of stickers to Phil. She gave 2/8 of the sheet of stickers to Lisa. What fraction of the sheet of stickers did Kyra give to Phil and Lisa in all?
Answers
A company has total sales in 2018 of $500,000 and expects sales to grow at a compounded annual rate of 3% each year for the next several years. What will sales be in 2020?
a) $515,000
b) $530,450
c) $ 546,363
Answers
Directions: Select the correct answer from each drop-down menu. The histogram below shows the homework grades from the last assignment in Mr. Smith's class. Homework Grades 10 Number of Students. Using the histogram, determine the best measures of the data. The best measure of center is the median Chy, and the best measure of variability is the mean absolute deviation
Answers
Answer:
Each number in the data is broken down into a stem and a leaf, thus the name. The stem of the number includes all but the last digit.
Step-by-step explanation:
Answer:
Step-by-step explanation:
what he said