The general equation of the sinusoid is [tex]f(x)=sinx[/tex]
What is sinusoidal?"A sine wave or sinusoidal is a continuous or mathematical curve which is used to describe a smooth periodic oscillation."
We know,
A Sinusoidal function is a function that can be modelled using a sine wave.
The sine graph repeats itself after a period of 2π, which shows the function is periodic with a period of 2π.
f (x) = sin x and f (x) = cos x are similar apart from a phase shift, both functions are sinusoidal.
f (x) = tan x is a trigonometric function, but its graph is completely different.
The graph of a sinusoidal function is a smooth periodic graph.
The graph is continuous all over the x-axis and also it repeats itself after every fixed interval.
∵ A phase shift is the only difference between sine and cosine, any sinusoidal function that can be modelled using sine can also be modelled using cosine.
The general sinusoidal function is [tex]f(x)=[/tex]±[tex]a.sin(b(x+c))+d[/tex]
Where as,
± controls the reflection across the x - axis, coefficient a controls the amplitude , constant d controls the vertical shift, coefficient b controls the horizontal stretch.
∴ The general equation of the sinusoid is [tex]f(x)=sin x[/tex]
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Answer:
y= sin (1/2x)
Step-by-step explanation:
Robert bought a house with a 6 percent interest rate. Three months later, the rate dropped to 4.35 percent. Robert was frustrated that he bought his house at the wrong time. What type of risk does this BEST demonstrate? A. Income risk B. Interest rate risk C. Personal risk D. Inflation risk
Answer:
b
Step-by-step explanation:
Interest rate risk is the risk that a fall in interest rate would decrease the value of a fixed rate investment. e.g. bonds , real estate.
Interest rate dropped 3 months after the house was bought. Robert is facing interest rate risk
Income risk is the risk that the stream of income received from a particular investment would drop as a result of a fall in interest rate.
Inflation risk is the risk that inflation would decrease the value of an investment
Answer:
b
Step-by-step explanation:
Which rays form the sides of
Answer:
(E KL),(F,LK)
Step-by-step explanation:
I don't know how to explain it sorry but the answer is right
The two rays are LM→ & LK→ form the angle ∠KLM
What is an angle?
In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
So, here, the rays LM-> & LK-> form the angle ∠KLM.
Hence, The two rays are C. LM→ & F. LK→ form the angle ∠KLM.
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Choose the congruence theorem that you
would use to prove the triangles congruent.
AAS
ASA
SSS
SAS
Answer :
ASA
ASA stands for “Angle, Side, Angle”. ASA refers to any two angles and the included side.
What’s is an equation of the Parallel line to y= -x+1 and through (4,4)
Answer:
y = -x + 8
Step-by-step explanation:
Parallel lines are two lines that have the same plane and slope but never intersect.
Simplify: 6 x (-5)+(-18)
Answer:
-138
Step-by-step explanation:
Answer:
6(-5)+(-18)
= -30+ (-18)
= -30-18
= -48
Step-by-step explanation:
i hope this helps :)
(-5,1) (4,4) slope=
Answer:
[tex]\frac{1}{3}[/tex]
Step-by-step explanation:
Use the slope formula:
slope [tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex][tex]\frac{1}{3}[/tex]
Let:
[tex](x_1 , y_1) = (-5 , 1)\\(x_2 , y_2) = (4 , 4)\\[/tex]
Plug in the corresponding numbers to the corresponding variables:
[tex]m = \frac{4 - 1}{4 - (-5)} = \frac{3}{4 + 5} = \frac{3}{9}[/tex]
Simplify the fraction. Divide common factors from both the numerator and denominator:
[tex]\frac{(\frac{3}{9} )}{\frac{3}{3} } = \frac{1}{3}[/tex]
[tex]\frac{1}{3}[/tex] is your answer.
~
Answer:
1/3Step-by-step explanation:
Slope:
[tex]\sf{\dfrac{y_2-y_1}{x_2-x_1}[/tex]
Y₂= 4
Y₁=1
X₂= 4
X₁= (-5)
Solve.
4-1/4-(-5)
4-1=3
4+5=9
=3/9
Divide.
3/3=1
9/3=3
=1/3
[tex]\large\boxed{\dfrac{1}{3}}[/tex]
Therefore, the slope is 1/3.
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer:
The test contains 10 three-point questions and 14 five-point questions.
Step-by-step explanation:
We can substitute a definition of one of the variables by rearranging the first equation.
We set the first equation equal to one of our two variables.
[tex]y = 24 - x[/tex]
Now we substitute this equality into our second equation
[tex]3x + 5(24 - x) = 100[/tex]
A man is filling an empty 5-gallon bucket with water at a constant rate. There are
2.4 gallons of water in the bucket after filling the bucket for 12 minutes. At what
rate, in gallons per minute, is the man filling the bucket?
Answer:
12 / 2.4 = 5
Step-by-step explanation:
So the man is filling the bucket at 5 gallons per minute.
Dont trust me I just did the math and that is what I got....
Sorry if it's wrong
Find y
X
45degrees
Y
7
I NEED HELP ASAP
Answer:
[tex]x=7\sqrt{2}\\y=7[/tex]
Step-by-step explanation:
Find the last angle of the triangle.
The sum of all the angles in a triangle is 180 degrees.
Y+90+45=180
Y = 45
Find x:
The sine of an angle is equal to the ratio of the opposite side to the hypotenuse.
sin(B)=opp/hyp
rewrite as
x=7/Sin(45)
x = 7squareroot 2
Find the last side of the triangle using the Pythagorean theorem.
y=√(7√2)^2−(7)^2
y=7
Can someone plz help me plz someone no links plz
Answer:
so it is asking for hte rent and groceries so add thoses 2 up and you get 896 - 384 = 1280 dollars then you subtract 1280 - 3200 and you get 1920 so 12 percent isnt the awnser 64 isnt the awnser becuase its more than half so search up 40% of 3200 and its 1280 so 40% is your awnser
Step-by-step explanation:
b
Step-by-step explanation:
it is ovliue
PLEASE I NEED HELP! I WILL GIVE BRAINLIEST IF YOUR ANSWER IS CLEAR!!!!! ALSO NO LINKS PLEASE!
Answer:
1. How many packages are delivered each hour.
2. Find the correlating variable on the graph.
3. 105 packages
4. If the truck driver delivers 15 packages an hour. Divide 120 by 15 to get 8 hours. 120/15= 8 hours to deliver 120 pqckages.
If you give me answer that means you’re super smart
Answer:
it is 160 if I remember correctly.
Answer:
320
Step-by-step explanation:
- 2 × - 8 × - 2 × - 10
16 × - 2 × - 10
- 32 × - 10
320
The difference between two numbers is 7. The sum of three times the larger number and twice the smaller number is 16.
Drag and drop the correct options from the list menu to make each statement below true.
Answer:
28 and 12 . (QUORA)
Step-by-step explanation:
Let’s write this down. We are looking for X and Y.
The difference between two numbers is 16: −=16
Three times the larger number is seven times the smaller: ∗3=∗7
So, we need to solve X and Y from these two equations.
If we re-arrange X*3 = Y*7, we get Y = X*3/7.
So, −∗3/7=16 . −∗3/7 is the same as 7∗/7−3∗/7 , or 4∗/7 . So 4∗/7=16−>4∗=7∗16−>=7∗4=28 .
Then we just go back to −=16 , and =28 , gives us 28−=16, or =28–16−>=12 .
So the numbers are 28 and 12.
I need help please no links!
Answer:
It will be 8 meters long.
[tex]l = \sqrt{ {17}^{2} - {15}^{2} } \\ l = \sqrt{64} \\ l = 8 \: m[/tex]
Answer each question about the following arithmetic series: (see attached photo)
What are the terms of the series?
Answer:
6,15,24,33
Step-by-step explanation:
EDGE 2021
Misty wants to save money to purchase a new bicycle that cost $279 she opens a savings account and deposit $7 per week based on this information which of the following is a reasonable conclusion
Answer:
25$
Step-by-step explanation:
i had this assignment before
Answer:
what are the answer choices and if 40 is an option then choose that!
Step-by-step explanation:
279/7= 39.85...
x= 40 (since you round) days
what is -7 + 1/3?
10 points pls answer
Answer:
-6 2/3
Step-by-step explanation:
please help me!! no links<3
Sam built a fence that was 54 feet 54 feet54, start text, space, f, e, e, t, end text long. She built the same length of fence each day for 6 66 days.
Answer:
Inches of fence Sam built each day = 108 inches per day
Step-by-step explanation:
Sam built a fence that was 54 feet long. She built the same length of fence each day for 6 days.
How many inches of fence did Sam build each day?
Total length of fence Sam built = 54 feet
How many inches of fence did Sam build each day?
Number of days = 6
Convert 54 feet to inches
1 feet = 12 inches
54 feet = 648 inches
Inches of fence Sam built each day = Total inches of fence built / number of days
= 648 inches / 6 days
= 108 inches per day
Inches of fence Sam built each day = 108 inches per day
sele
mation to complete the task.
Nozoml makes $1.25 for each granola bar she sells. Let d represent the amount of money, in dollars, she makes when she sells g granola bars.
Create an equation to represent the relationship between the number of granola bars Nozomi sells and the amount of money she makes.
Move numbers, variables, or symbols to the blanks to create the equation.
8
d
+
1.25
PLEASE HELP ME PLEASE!!!!
Answer:
45\
Step-by-step explanation:
it will be 8 units
hope it helps
PLEASE HELP ME WITH QUESTIONS 1 AND 2! NO LINKS OR SPAMS!!! THANKS!!!!!!!!!
carson buys eggs and lemons at the store. He pays a total of 39.62.he pays 6.74 for the eggs
Element X decays radioactively with a half life of 11 minutes. If there are 790 grams of Element X, how long, to the nearest tenth of a minute, would it take the element to decay to 40 grams?
Answer:
47.34158
rounded to the nearest tenth of a minute: 47.3
Can anyone please solve this question?? Its very important
Answer:17(milk):13(water)
Step-by-step explanation:milk is denser then water so its the bigger potion based on the picture, and u add all 3 cups of milk together and do the same for the water, again sorry if I am wrong
find the slope of the line going through the points (2,-3) and (-1,15) in the simplest form
Answer:
y=-2x
Step-by-step explanation:
You could find the slope of line going through the points (2,-4) and (-1,2). It is
slope is -6/3 or -2
So the line is
Now plug in one of the points and the slope into point slope form and find the line
y+4=-2(x-2) or
y+4=-2x+4 so
y=-2x
Check it by making sure BOTH points are on the line. Plug the values into the equation you found for the line.
-4=-2(2)
2=-2(-1)
What is 3х? ?????????????????????????????
Answer:
3x means you have three x's. Then 3x - x means you have three x's and you take away (subtract) one x. This would leave you with two x's.
When Mayerlin goes bowling, her scores are normally distributed with a mean of 175 and a standard deviation of 13. Using the empirical rule, what percentage of the games that Mayerlin bowls does she score between 162 and 188?
Answer:
68%
Step-by-step explanation:
The Empirical rule formula is given as:
68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Where
μ is the population mean
σ is the population standard deviation.
Step 1
Find the number of standard deviations from the mean
μ - xσ and μ + xσ
μ = 175
σ = 13
For 162
175 - 13x = 162
175 - 162 = 13x
13 = 13x
x = 13/13
x = 1
For 188
175 + 13x = 188
13x = 188 - 175
13x = 13
x = 13/13
x = 1
Hence, the data falls with 1 standard deviation of the mean
Therefore, percentage of the games that Mayerlin bowls does she score between 162 and 188 is 68%
Answer:
The answer is 68%
Step-by-step explanation:
How much money would you have if you invested $2500 at 5.75% annual interest, compounded quarterly for 5 years
Answer:
[tex]A\simeq3325.91[/tex]
Step-by-step explanation:
The amount formula in compound interest is:
[tex]A=P(1+\frac{r}{n} )^{nt}[/tex]
where:
P = principal amount
r = annual interest
n = number of compounding periods
t = number of years
We already know that:
P = $2500
[tex]r = 5.75\% = \frac{5.75\%}{100\%}=0.0575[/tex]
t = 5
n = 4 (quarterly in a year)
Then,
[tex]A=2500(1+\frac{0.0575}{4} )^{(4)(5)}\\\\A=2500(1+\frac{0.0575}{4} )^{20}\\\\A=3325.911985\\\\A\simeq3325.91[/tex]
-3×1/4-6 please help im losing my mind
Answer:
-45/4 or -11.25
I'm pretty sure this is right hope it helps
Answer:
Simplify the expression:
Exact form:
-27/4
Decimal form:
-6.75
Mixed number:
-6 3/4
Step-by-step explanation:
The / actually means to divided.