Answer:
y=4sin(2x) - 3
Step-by-step explanation:
Recall the form of a sinusoidal function is Asin(Bx + C) + D, where A is the amplitude, B is the frequency (could also be viewed as the period), C is the horizontal (phase) shift, and D is the vertical shift. Also, recall sin(x) has a period of 2π.
You start with the parent function (sin(x)).
Then, knowing the amplitude is 4: 4sin(Bx + C) + D
Then, knowing the period of the regular sine function is 2π, to get to a period of π, divide by 2 (the period of the curve changes by a factor of 1/2), so your B coefficient is 2: 4sin(2x + C) + D
There is no phase shift, so omit C: 4sin(2x) + D
Since the midline is y = -3, that is your vertical shift (D): 4sin(2x) - 3
Graph of y = 4sin(2x) - 3 is below:
Answer: The graph is shown below.
Explanation:
The midline is y = -3 and the y intercept is (0,-3). This is point A in the diagram below.
The period is pi units, which means that going from midline to peak (or valley) is 1/4 of this distance. So it's pi*(1/4) = pi/4 = 0.79 units approximately from x = 0 to x = 0.79; which is the x coordinate of point B. Point B is one of the infinitely many maximum points. Notice that the vertical distance from A to B is 4 units, which is the amplitude.
Extra info:
The equation of this sine curve is y = 4sin(2x)-3
I used GeoGebra to make the graph
Joe is buying gift cards that are on sale for 15% off. He uses c – 0.15c to determine the sale price of gift cards. What is an equivalent expression that Joe could also use to determine the sale price of a gift card?
Answer:
0.85c
Step-by-step explanation:
Given :
Discount on sale = 15%
Price of gift card at discounted price = c - 0.15c
Equivalent expression could be :
(100% - 15%) * price
Price = c
(1 - 0.15)c
0.85c
Given the equation y= -1/3x +1 , find the value of y when x is 9
Answer:
Y = -2
Step-by-step explanation:
Just substitute 9 for x
determine the initial value
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a gemstone in the shape of a rhombus has the measurements shown. Match the measures with the angles.
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A person on a moving sidewalk travels 24feet the in 7 seconds. The moving side walk has a length of 180 feet. How long will it take to move from one end to the other?
Given:
A person on a moving sidewalk travels 24 feet the in 7 seconds.
The moving side walk has a length of 180 feet.
To find:
Time taken by the person to move from one end to the other.
Solution:
A person on a moving sidewalk travels 24feet the in 7 seconds.
The speed of the person is
[tex]\text{Speed}=\dfrac{\text{Distance}}{\text{Time}}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
[tex]\text{Speed}=\dfrac{24}{7}[/tex]
The moving side walk has a length of 180 feet.
[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]
[tex]\text{Time}=\dfrac{180}{\dfrac{24}{7}}[/tex]
[tex]\text{Time}=\dfrac{180}{1}\times \dfrac{7}{24}[/tex]
[tex]\text{Time}=52.5[/tex]
Therefore, the time taken by the person to move from one end to the other is 52.5 seconds.
BRAINLIEST
Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).
Once you have found the missing coordinate use pythagoras to calculate the length of the sides.
Answer:
Step-by-step explanation:
Example: Solve this triangle
right angled triangle 5 12 c
Start with: a2 + b2 = c2
Put in what we know: 52 + 122 = c2
Calculate squares: 25 + 144 = c2
25+144=169: 169 = c2
Swap sides: c2 = 169
Square root of both sides: c = √169
Calculate: c = 13
A frying pan has a circumference of 43.96 centimeters What is the radius of the frying pan? Use 3.14 for
centimeters
I need help can some help me with the answer please and thank
Answer:
7
Step-by-step explanation:
43.96 divided by 3.14= 14 (diameter)
14 divided by 3= 7 (radius)
find the value of x.
Answer:
x ≈ 55.9°
Step-by-step explanation:
Using the sine ratio in the right triangle
sinx = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{24}{29}[/tex] , then
x = [tex]sin^{-1}[/tex] ([tex]\frac{24}{29}[/tex] ) ≈ 55.9° ( to 1 dec. place )
What kind of a fraction is 6 1/3?
Answer:
6 1/3 Is a mixed fraction
-4(x - 6) = 2 (7 - 7x)
Answer:
x=-1
Step-by-step explanation:
Answer:
-1
Step-by-step explanation:
-4(x - 6) = 2 (7 - 7x)
-4x + (because - and -) 24 = 14-14x
-4x+14x= 14-24
10x= -10 |:10
x= -1
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a =
c =
Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
Help I’ll give you brainliest
Answer:
your answer will be A
Step-by-step explanation:
have a nice day/ night
Use the equation to predict the number of students in a school with 120 staff members.
Answer:
Step-by-step explanation:
easy y is 120
Answer:
1020 students
Step-by-step explanation:
We have the equation y = 0.1x + 18
If we have a school of 120 staff members, we can just set y = 120 and solve for the predicted total number of students, x.
120 = 0.1x +18
0.1x = 102
x = 1020 students
Can someone help me please
I’ll mark you as a brainliest.
Answer:
He should make the hypotenuse 5 in
Step-by-step explanation:
the pythagorean heoreom states that a^2+b^2=c^2. c is the hypotenuse. You already have a and b, 3 and 4. Plug it in
3^2+4^2=c^2
9+16=c^2
25=c^2
square root each side to isolate
c=5
Nancy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 54 regular sodas and 6 diet sodas. What percentage of the sodas served were regular?
In the figure, BC and AD are line segments. What is the sum of x and y?
A 108°
B 116°
C 118°
D 126
Answer:
B) 116°
Step-by-step explanation:
y=180-54-64=62
x=180-62-64=54
62+54=116
Answer:
B 116
Step-by-step explanation:
#platolivesmatter
6x -8 > 34 *
help me pls the answer choice is A.x>4.3
B. x<4.3
C. x>7
D. x<7
Answer:
b
Step-by-step explanation:
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 ft, find its area.
The area of the rectangle is 216 square feet
How to determine the area?Let x represents the length and y represents the width.
So, we have:
x = 6y
So, the perimeter is:
P = 2(x + y)
The perimeter is given as:
P = 84
So, we have:
2(x + y) = 84
Divide by 2
x + y = 42
Substitute x = 6y in x + y = 42
6y + y = 42
Evaluate the sum
7y = 42
Divide by 7
y = 6
Substitute y = 6 in x = 6y
x = 6 * 6
x = 36
The area is calculated as:
Area = xy
So, we have:
Area = 36 * 6
Evaluate
Area = 216
Hence, the area of the rectangle is 216 square feet
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help!!
What percentage of math students are girls? Round to the nearest whole percent.
Just write the number for your answer.
Answer:
46.4%
Step-by-step explanation:
total maths=28
girls in maths = 13
13/28 x 100 = 46.4 %
write linear equation in slope intercept form and this are 3 questions a lil help please
what’s the answer for this please? Thankssss!! Only if you know
Answer:
I Dont know the answer Sorryyyyyyyyyy
What is the sum of seven and four
Answer:
Step-by-step explanation:
sevour
Answer:
it will 11 ( eleven ) hope it helps
Can someone please help me with this one
Find the lateral surface area of the triangular prism shown below. PLS HELP
Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4
2 Fifteen percent of a bag of chocolate
candies have a red coating on them. How
many red pieces are in a bag of 60
candies?
Answer:0.25 or 25%
Step-by-step explanation:
Factor out the greatest common factor for 18x2 + 42x – 12.
Answer:
Step-by-step explanation:
factor the coefficients into primes
18 = 3 * 3 * 2
42 = 3* 2 * 7
- 12 = - 2 * 2 * 3
The primes that are underlined are 2 * 3 which is 6
The primes not in the brackets are what is inside the brackets.
6(3x^2 + 7x - 2)
The scatter plot shows a hiker's elevation above sea level over time. The equation of the trend line shown is y = 8.77x + 686. To the nearest whole number, predict what the hiker's elevation after 145 minutes
Answer:
707 feet above sea level
Step-by-step explanation:
2 hours and 25 minutes is about 2.4167 hours.
Therefore:
y=8.77x+686
y=8.77(2.4167)+686
y=21.1944+686
y=707.1944
So the hiker's elevation will be approximately 707 feet above sea level
What is the acceleration of a BMW i8 Roadster that goes from 0 to 60 mph in 3.8 seconds? a) in mi/h/s and b) in m/s^2
Answer:
I need help with my math problem
Step-by-step explanation:
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no space
Gwen had an awful time camping! When she got home, she counted 5 mosquito bites on her legs for every 4 bites on her arms. Gwen had 3 more mosquito bites on her legs than on her arms. How many bites did she have on her legs and arms altogether?
Gwen had 27 bites altogether. She had 15 on her legs and 12 on her arm
How to solve an equationAn equation shows the relationship between two or more numbers and variables.
Let x represent the mosquito bites on leg and y represent the bites on arms. She counted 5 mosquito bites on her legs for every 4 bites on her arms, hence:
x/y = 5/4
4x = 5y
4x - 5y = 0 (1)
Also, Gwen had 3 more mosquito bites on her legs than on her arms, hence:
x = y + 3 (2)
From both equations:
x = 15, y = 12
x + y = 15 + 12 = 27
Gwen had 27 bites altogether
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