The transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression of period of [tex]\pi/4[/tex]phase shift of [tex]\pi/4[/tex] to rightHow does transformation of a function happens?The transformation of a function may involve any change.
Usually, these can be shift horizontally (by transforming inputs) or vertically (by transforming output), stretching (multiplying outputs or inputs) etc.
If the original function is [tex]y = f(x)[/tex], assuming horizontal axis is input axis and vertical is for outputs, then:
Horizontal shift (also called phase shift): Left shift by c units: [tex]y = f(x+c)[/tex]earlier)Right shift by c units: [tex]y = f(x-c)[/tex]output, but c units late)Vertical shift:Up by d units: [tex]y = f(x) + d[/tex]Down by d units: [tex]y = f(x) - d[/tex]Stretching:Vertical stretch by a factor k: [tex]y = k \times f(x)[/tex]Horizontal stretch by a factor k: [tex]y = f(\dfrac{x}{k})[/tex]For this case, we're specified that:
y = cos(x) (the parent cosine function) was transformed to [tex]y = 0.35\cos(8(x-\pi/4))[/tex]
We can see its vertical stretch by 0.35, right shift by [tex]\pi/4[/tex]horizontal stretch by 1/8
Period of cos(x) is of [tex]2\pi[/tex] length. But 1.8 stretching makes its period shrink to [tex]2\pi/8 = \pi/4[/tex]
Thus, the transformations that are needed to change the parent cosine function to y = 0.35×cos(8(x-π/4)) are:
vertical stretch of 0.35horizontal compression to period of [tex]\pi/4[/tex] (which means period of cosine is shrunk to [tex]\pi/4[/tex] which originally was [tex]2\pi[/tex] )phase shift of [tex]\pi/4[/tex] to rightLearn more about transformation of functions here:
https://brainly.com/question/17006186
What is the solution to the equation 6 m = 60?
m = 10
m = 50
m = 66
m = 360
Answer:
[tex]\displaystyle m = 10[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{60}{6} = \frac{6m}{6} \\ \\ \boxed{10 = m}[/tex]
I am joyous to assist you at any time.
Answer:
[tex]\sf{m=10}[/tex]
Step-by-step explanation:
The value of m must be found from one side of the equation in order to solve this problem.
6m=60
First, divide by 6 from both sides.
[tex]\sf{6m=60}[/tex]
[tex]\sf{\dfrac{6m}{6}=\dfrac{60}{6} }[/tex]
Then, solve it.
[tex]\boxed{{\sf{m=10}}}[/tex]
Therefore, the correct answer is m=10.
I hope this helps you! Let me know if my answer is wrong or not.
What is the measure of the missing angle?
39 faren height plus 33 plus an unknown number to equal 180
Answer:
108
Step-by-step explanation:
39 + 33 + x = 180
To find the missing angle, we have to add together the two angles that are given and then subtract that from 180.
39 + 33 = 72
180 - 72 = 108
Therefore, our answer is 108 degrees.
I hope this helps! Have a lovely day!! :)
An electrician has an income of $41,500. The income tax the electrician has to pay is 12%. What is the amount of income tax that the electrician has to pay? A) $3,840 B) $4,164 C) $4,980 D) $5,210
Answer:
he has to pay 4980$ in tax
Step-by-step explanation:
Answer:
This question was on my test and I got a 100 so its right
Step-by-step explanation:
7(4-x) how do I do this problem
Answer:
28-7xStep-by-step explanation:
You distribute 7 and 4 and 7 and the xHopes this helps.k (a+b) = k*a + k*b
so
7 (4-x) = 7*4 + 7*(-x) = 28 - 7x
Please help with one through three Brainliest to the correct in best answer
Answer:
1. Alike
2. Opposite
3. Common factor
Step-by-step explanation:
1. To have a positive number, you can only have alike signs, for example, any positive number times another positive number is always positive. The same is true for negative numbers multiplied by each other.
2. To have a negative number, there has to be one negative number and one positive number being multiplied together. Always. For example:
3 x -5 =-15
10 x -1 = -10
3. You can factor out a common factor to simplify a polynomial before you factor it.
What is X?
(x+22) 2x
(Need help)
Answer:
nasa pic yung sagot
hope its help
Jory's motorcycle travels at a constant rate of 18 miles in 45 minutes. What is the rate, in miles per hour,
that Jory is traveling?
A. 13
B. 18
C. 24
D. 26
please give explanation
Answer:
C. 24
Step-by-step explanation:
We should find how many miles Jory travels in 15 minutes first.
45 ÷ 15 = 3
18÷3=6
6 miles in 15 minutes
every hour has 60 minutes
60 ÷ 15 = 4
multiply 6 by 4 to find miles per hour
6×4=24
Find the volume of a pyramid with a square base, where the side length of the base is 16.6m and the height of the pyramid is 9.1 m. Round your answer to the nearest tenth of a cubic meter.
Answer:
Formula for volume of square pyramid:-
V = 1/3 x a^2 x h
Where 'a' is the length of one side of the base, and 'h' is the height.
Plug in our values, given that:
16.6m = side length of base.
9.1m = height of pyramid.
V = 1/3 x a^2 x h
V = 1/3 x 16.6^2 x 9.1
V = 1/3 x 275.56 x 9.1
V = 1/3 x 2507.596
V = 2507.596/3
V = 835.865, which rounds to 835.9 cubic meters.
There are 9 members on a board of directors. if they must elect a chairperson, a secretary, and a treasurer, how many different slates of candidates are possible? a. 504 c. 729 b. 84 d. 362,880
Answer:
A. 504
Step-by-step explanation:
on edge 2022
Answer:
A.
Step-by-step explanation:
EDG 2022
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Step-by-step explanation:
lol it’s on wassa name ;) mark me brainliest? Btw
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
a kite is 50 m high when 200 m of sting is let out. what angle does the kite string make with the ground to the nearest tenth of a degree?
the angle between the kite string and the ground is ?
Check the picture below.
Make sure your calculator is in Degree mode.
Need help with this pls
Answer:
Answer:
SORRY
Step-by-step explanation:
ANSWER
Step-by-step explanation:
Answer:
SORRY
Step-by-step explanation:
ANSWERAnswer:
SORRY
Step-by-step explanation:
ANSWER
Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
Learn more about addition here:
https://brainly.com/question/1709448
Edmond buys 4/5 of a kilogram of butterscotch chips and 5 kilograms of milk chocolate chips.
How much does he spend?
milk chocolate chips
$1 per kg
white chocolate chips
$2 per kg
dark chocolate chips
$3 per kg
butterscotch chips
$1 per kg
semisweet chocolate chips
$2 per kg
Factoring
Need help pls
Answer:
2x(2²+3³)
I HOPE THIS HELP, THANKS ME LATER
Answer:
Factor by using the AC method-
1. (x+1) (x+4)
Factor by grouping-
2. (4x-3) (x+2)
pls help with this brain boggling work
:)
Answer:
$10/hour
Step-by-step explanation:
The graph shows the relation between the number of hours Hachi works to the money he earns at his jobSolving
Pay rate = Money earned / Number of hoursPay rate = 10/1 = 20/2 = 30/3 = .... ⇒ $10/hourTake two points and find slope
(0,0)(1,10)Slope
m=10-0/1-0m=10/1m=10Pay rate 10$/h
Solve for x in the trig function
Step-by-step explanation:
cos(81) = x/sqrt(7)
x = sqrt(7)×cos(81) = 0.413886691...
Felipe just started collecting stamps. he has 36 stamps so far. His uncle Caro has 1,890 stamps in his collection. The number of stamps Carlos has is how many times the number Felipe has?
Answer:
52.5
Step-by-step explanation:
just divide bro it ain't that hard
2-y^2=-14 solve for y express answer as an integer or in simplest radical form
Answer:
8
Step-by-step explanation:
y^2=-16
y= -16/1 % 2/1
y=-16/1 % 1/2
y = 8
Answer:
y=4
Step-by-step explanation:
its -y^2=-16. square root both sides to get rid of the exponent and it gives you -y=-4 which is the same as y=4
A gas station sells motor oil in 2-liter bottles. The gas station sold 6 bottles of oil each day for 8 days.
How many liters of motor oil did the gas station sell in these 8 days?
Answer:
96 liters
Step-by-step explanation:
Two liters are in each bottle, so that means they sold 12 bottles of oil each day. Multiply that with 8 days to get the answer:
12 × 8 = 96
Ninety-six liters.
what energy changes or causes
Answer: Nearly all thermal energy on Earth originates from the sun and radiates to the surface of our planet, traveling in the form of electromagnetic waves, such as visible light. Materials on Earth then absorb these waves to be used for energy or reflect them back into space. In an energy transformation, energy changes form.
Step-by-step explanation:
What is the constant term in the expression 8xy − 9x2 y − 5x 6
Answer: 6
Step-by-step explanation:
I assume you meant to write 8xy − 9x2y − 5x + 6. The constant term in an expression is defined as a number by itself that contains no variables. Therefore, the answer is 6.
Let n be a positive integer. z^n is the set of all lists of length n whose
entries are in z. prove that z^n is countable. (hint: find a bijection
between z^(n−1) × zand z^n and then use induction.)
look at pic please and answer
( Pls help ASAP) Will give 20 points if you answer 2 questions))
Answer:
1. -3 2. y=-1
Step-by-step explanation:
Michelle's keeping track of how much time she spends playing video games. She knows she gamed for a total of 60 hours during the past 3 weeks. She played 4 hours more during the 2nd week than the 1st week. Also, she played 2 hours less during the 3rd week than the 2nd week. How many hours did she spend playing video games during the 3rd week?
Answer:
I have no clue.
Step-by-step explanation:
Answer:
What is a appropriately
What is a Procedure
What is a Enthusiasm
What is a Conflict
What is a Technique
What is a Obtain
What is a conflict management
What is one thing you would not do when finding the question in a word problem?
A. Look for a problem similar to the word problem you are trying to solve.
B. The question may not be directly stated.
C. So you can understand what the facts are in the word problem.
D. To define your strategy or game plan to solve the word problem.
ill give brainliest and 100 points
Answer:
A. Look for a problem similar to the word problem you are trying to solve is the answer.
If the area of a circle is 64 pie square centimeters, then what is its radius
Answer:
8
Step-by-step explanation:
A=πr^2
64π=πr^2
since answer is in terms of pi, ignore the pi.
sqrt(64)=8
Can the GCF of a pair of numbers ever equal one of the numbers? Explain how you know
Answer:
It can
Step-by-step explanation:
For example, the GCF of 44 and 22 is 22.
y = x + 2
5x - 4y = -3
Solving systems by equations
Answer: x = 5, y = 7
Step-by-step explanation:
1. First, put the variables together/rearrange:
y - x = 2 & 5x - 4y = -3
2. Cancel out variable x by multiply the first equation by 5:
5y - 5x = 10 & 5x - 4y = -3
3. Add equations:
y = 7
4. Then determine x by plugging y back into the first equation y = x + 2:
x = 5