sketch a graph and write an equation for a sinusoidal function that has a period of 12 seconds, a maximim height of 8ft and a minimim height of -4 ft. At a time t=0, the function's height is at its highest point.
Answers
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The amplitude of the function is half the difference between the maximum and minimum:
A = (8 -(-4))/2 = 6
The multiplier of t is (2π)/period, so is ...
B = (2π)/12 = π/6
The vertical offset is the average of the minimum and the maximum:
D = (8 +(-4))/2 = 2
The peak is at t=0, so the cosine function is the appropriate choice.
__
Then the function is ...
f(t) = Acos(Bt) +D
f(t) = 6cos(πt/6) +2
Related Questions
6x – 2х + 8у – 6y simplified expression
Answers
Answer:
4x+2y
Step-by-step explanation:
6x is the answer to this question
as a town gets smaller the population of its high school decreases by 5% each year. The senior class has 160 students now. In how many years will it have about 100 students? Write an equation. Then solve the equation without graphing. Write an equation to represent the situation. Let n be the number of years before the class will have 100 students.
Answers
Answer:
T_n = 160(0.05)^(n - 1)
At T_n = 100, n = 1 year
Step-by-step explanation:
We will use geometric progression to solve this question.
Formula for nth term of a GP is;
T_n = ar^(n - 1)
We are told the population of its high school decreases by 5% each year.
This means r = 0.05
senior class has 160 students. Thus a = 160
Thus,T_n = 160(0.05)^(n - 1)
Where n is number of years after now.
We want to find the number of years before the class will have 100 students
Thus;
160(0.05)^(n - 1) = 100
(0.05)^(n - 1) = 100/160
(n-1)In 0.05 = In (100/160)
-2.9957(n - 1) = -0.47
(n - 1) = 0.47/2.9957
n = 1 + 0.1569
n = 1.1569
Approximating to the nearest whole number gives n = 1
Which is the better buy: 3 shirts for $15 or 5 shirts for $20?
Answers
Step-by-step explanation:
it will
5 shirts for $20
hope it helps
1.4 plus what equals 0.9
Answers
Answer: 2.3
Step-by-step explanation:
Calculator
Answer:
-0.5
if 1.4-0.9=0.5
1.4+(-0.5)=0.9
Pls help
The circle below has a diameter of 164 inches.
a) Find the circumference of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
b) Find the area of the circle. Use 3.14 to approximate pi. Please show your math work step by step and don’t forget the unit. (Calculator is allowed but please write down the numbers that you enter into your calculator).
Answers
Answer:
The circle is the radius divided by equal, so it is the same as the other section meaning 16 as well
Step-by-step explanation:
Add the two ends to the result 32
Answer:
Step-by-step explanation:
yea what she said
a) Find the value of 1 + 3x when x = 1
b) Find the value of 7 - 2x when x = -3
Answers
The length of a rectangle can be represented by the expression (2 - 1) and the width can be
represented as (x + 3). The area of the rectangle is 12 square feet. Set up an equation that
could model this information, Solve the quadratic equation to determine a possible value for x,
PLS HELP ME AND IF YOU CAN SHOW HOW U GOT THE ANSWER IF NOT THATS OKAY!!! ILL ALSO MARK YOU BRANLIEST IF YOU HELPED ME!!! <333
Answers
Answer:
Step-by-step explanation:
The length is (x-1), not (2-1).
area = (x-1)(x+3) = 12 ft²
x²+2x-3 = 12
x²+2x-15 = 0
(x+5)(x-3) = 0
x = -5, 3
-5 is an extraneous solution, so x=3.
Length = x-1 = 2 feet
Width = x+3 = 6 feet
Please help, it would mean the world
Answers
2.88x-33
3.-15x+(-10)
Please help if you know it. don't raid me for points
-user
Answers
1. x + 6 = 8
8 - 6 = 2
x = 2
2. 12 + y = 21
21 - 12 = 9
x = 9
3. h - 7 = 13
13 - 7 = 6
x = 6
4. 35 = 50 - 15
p = 50
5. 17 = 8 + 9
e = 8
6. 0 + 10 = 10
k = 10
Hope this helps! Have a wonderful day!
El 35 % de los estudiantes de un centro docente practica el fútbol. El 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol
Answers
Answer:
El 40.75% de los alumnos del centro docente estudian matemáticas.
Step-by-step explanation:
Dado que el 35 % de los estudiantes de un centro docente practica el fútbol, y el 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol, para determinar los porcentajes de estudiantes de matemáticas en el centro docente se debe realizar el siguiente calculo, suponiendo que el total de alumnos del centro sea 100:
35 x 70 / 100 = 2,450 / 100 = 24.5%
100 - 35 = 65
65 x 25 / 100 = 1,625 / 100 = 16.25%
24.5 + 16.25 = 40.75
Así, el 40.75% de los alumnos del centro docente estudian matemáticas.
a. 150km in 10 hours. How far will be travelled
in 7 hours?
Answers
Answer:
Your answer is 105km travelled in 7 hours.
Step-by-step explanation:
Divide 150km by 10 to find the amount of km travelled in 1 hour. Then multiply that answer by 7.
PLZ HELP WILL GIVE BRAINLIEST
Answers
List 2 pairs of Alternate Interior Angles shown in the diagram below. Show Your Work 12 34 56 78 m
Answers
Answer:
I th8nk it means diagonal like 1 and 4 or 2 and 3
I WILL GIVE YOU BRAINLIST NEED HELP ASAP
The object below is made of six identical rectangular prisms. The overall dimensions of the composite solid are 24 inches (in.) by 24 inches by 6 inches. What is the volume, in cubic inches, of a single prism?
A
16in.3
B
96in.3
C
192in.3
D
576in.3
Answers
It’s D because if you multiply each side of the object (How to determine volume) then divide by six (because they want the volume of just one square and there is six squares) Then you get 576
Volume of the single prism will be : 576 inches
What is a Rectangular Prism ?
In geometry a Rectangular prism is a polyhedron with two congruent and parallel bases. It has six faces and have twelve edges.
Volume of a Rectangular prism = L * B * H
= 24 * 6 * 24
= 3456 inch^3
Since , it consists of six identical Rectangular prisms
Volume of single prism will be = 3456 / 6
576 inch^3
Learn more about Rectangular Prism:
https://brainly.com/question/21308574?referrer=searchResults
#SPJ2
Kiera ordered a set of brown and green pins. She received 63 brown pins and 27 green pins. What
percentage of the pins were brown?
Answers
Answer:
Step-by-step explanation:
27
PLEASE ANSWER ASAP!!!!Find
Find f(-2) if f(x) = x^2 + x + 7
Answers
Answer:
9
Step-by-step explanation:
solve using quadratic equations (x+3)^2=25
Answers
Answer:
x=2 or x=−8
Step-by-step explanation:
60 as a product of its prime factors
Answers
I give you 35 points, PLS HELP!!
If CD = 8√3, find AE
Answers
Answer:
not 35
Step-by-step explanation:
it 18
D=u^2/2a
u=30.6 correct to 3 significant figures
a=5.2 correct to 2 significant figures
a) Calculate the upper bound for the value of D. Give your answer correct to 6 significant figures.
The lower bound for the value of D is 88.8860 correct to six significant figures.
b)
i) By considering bounds, write down the value of D to a suitable degree of accuracy.
ii) Give a reason to your answer
Answers
a)
30.65^2/(2*5.15)=91.2061
d=91.2061
b)i)90
ii) Mathswatch is critical of anything apart from it's system so I dont know what the answer is for this one
a.
What does the graph tell you about the boat ride?
b. For the graph find the domain and range.
C.
For the function d (above), how is the slope of the graph to the left of the vertex related to
the slope of the graph to the right of the vertex?
Answers
What is the area of the figure below?
Answers
Answer:
d.
Step-by-step explanation:
102 in.² should be the answer
Open Ended Alexandra is working on a float for a parade She is making a sphere out of paper mache She knows the circumference of a cross section through the center of a sphere. How can Alexandra find the radius of the sphere?
Answers
Answer:
r=C2
Step-by-step explanation:
C=2r is the equation to find circumference
She needs to work backwards in this case, so:
r=C2
r=The circumference she knows x 2 x 3.14(or 3.14159265359)
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I would recommend writing/typing all of this(Especially if you need to show you work)!I hope this helped!
f m<1 = 2x + 3 and the m<4 = 3x + 2, then find the m<3.
Answers
Answer:
https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation:
Dirk bought a set of stamps. The number of stamps in the set he bought is divisible by 2, 3, 5, 6, and 9. Which set is it?
Answers
Answer:
Germany - 90
Step-by-step explanation:
Here are the options to this question
Germany 90
Sweden 78
Japan 63
Canada 75
The appropriate answer should be a multiple of 2, 3, 5, 6, and 9. That is when the number is divided by 2, 3, 5, 6, and 9 it should have a remainder of zero.
90 / 2 = 45
90 / 3 = 30
90 / 5 = 18
90 / 6 = 15
90 / 9 = 10
Thus, the appropriate number is 90
When 78 is divided by 5 and 9, the remainder is not zero
When 63 is divided by 2, 5 and 6, the remainder is not zero
When 75 is divided by 2, 3, 6 and 9, the remainder is not zero
What is the smaller zero of y = x2 - 6x + 8?
Answers
Write the equation of the line in fully simplified slope-intercept form.
Answers
Answer:
y=-1/2x-1
Step-by-step explanation:
Which is equal to√4/5?
2√10/5
2√5/5
√20/5
√20/√25
Answers
The second one
Explaintion
Trust me
Answer:2√5/5
Step-by-step explanation:
Multiply 2√5 by √5√5
Combine and simplify the denominator.
2√5divide5
The result can be shown in multiple forms.
Exact Form:
2√5/5
.
choose the correct response
Answers
Answer:
74 hope this works if not I'm sorry
Find the measure of the given angles
Answers
Hey there!
The answer is 58 degrees
Since ΔABC ~ ΔDEF, then m∠A ~ m∠D, and m∠B ~ m∠E, and m∠C ~ m∠F. This means we can set m∠A equal to m∠D:
x + 29 = 2x
Subtract x from both sides:
29 = x
Now, we plug into the angle expressions to find their measurement:
m∠A = 29 + 29
m∠A = 58
Since they are equal, m∠A and m∠D are both 58 degrees.
Have a terrificly amazing day! :)