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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The circle below has a diameter of 164 inches.
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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:
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Answer: 2.3
Step-by-step explanation:
Calculator
Answer:
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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
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Hope this helps! Have a wonderful day!
60 as a product of its prime factors
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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)
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(n - 1) = 0.47/2.9957
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n = 1.1569
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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
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Step-by-step explanation:
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Step-by-step explanation:
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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:
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Subtract x from both sides:
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Now, we plug into the angle expressions to find their measurement:
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Since they are equal, m∠A and m∠D are both 58 degrees.
Have a terrificly amazing day! :)
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Answer:
Step-by-step explanation:
27
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The second one
Explaintion
Trust me
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Step-by-step explanation:
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https://brainly.com/question/21308574?referrer=searchResults
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Answers
Answer:
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Step-by-step explanation:
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a)
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Answer:
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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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Así, el 40.75% de los alumnos del centro docente estudian matemáticas.
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Step-by-step explanation: