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
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For the function d (above), how is the slope of the graph to the left of the vertex related to
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What is the smaller zero of y = x2 - 6x + 8?
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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
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
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:
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yea what she said
Which is the better buy: 3 shirts for $15 or 5 shirts for $20?
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Step-by-step explanation:
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Step-by-step explanation:
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Step-by-step explanation:
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Answer:
4x+2y
Step-by-step explanation:
6x is the answer to this question
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?
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Answer:
Step-by-step explanation:
27
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List 2 pairs of Alternate Interior Angles shown in the diagram below. Show Your Work 12 34 56 78 m
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Answer:
I th8nk it means diagonal like 1 and 4 or 2 and 3
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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! :)
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.
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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
solve using quadratic equations (x+3)^2=25
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Answer:
x=2 or x=−8
Step-by-step explanation:
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I give you 35 points, PLS HELP!!
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Answer:
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Step-by-step explanation:
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2.88x-33
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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.
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f m<1 = 2x + 3 and the m<4 = 3x + 2, then find the m<3.
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Answer:
https://www.mrelisara.com/uploads/5/8/7/3/58736993/chapter_2_review_ws_answers.pdfStep-by-step explanation:
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
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B
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C
192in.3
D
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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
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
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I would recommend writing/typing all of this(Especially if you need to show you work)!I hope this helped!
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Answer:
d.
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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:
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The length of a rectangle can be represented by the expression (2 - 1) and the width can be
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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
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Answer:
Step-by-step explanation:
The length is (x-1), not (2-1).
area = (x-1)(x+3) = 12 ft²
x²+2x-3 = 12
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a) Find the value of 1 + 3x when x = 1
b) Find the value of 7 - 2x when x = -3
Answers
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
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