MATHEMATICS HIGH SCHOOL

Which equation can be used to model simple harmonic motion? A. d=acos[w(t+k)] B. d=acos(wt) C. d=asin(wt)+k D. d=sin(awt)

Answers

Answer 1

Answer: B. d=acos(wt)
Hope it helps

Answer 2

Answer:

Answer:

Correct option is B.

Step-by-step explanation:

Given some equations we have to choose the equation which can be used to model simple harmonic motion.

The basic equation for simple harmonic motion are

x = acos(wt) and x=asin(wt)

where x is displacement from resting position,

a is the amplitude, which is the largest displacement the object experienced, w is the angular velocity or angular frequency and t is the time.

From the given options B option matches i.e

d=acos(wt)

is the equation can be used to model simple harmonic motion.

So, correct option is B.

Related Questions

Pupils at a scholl either arrive by bus,car or on foot. 3/10 walk and 1/3 come by bus. What fraction come by car?
What is the difference between class limits and class boundaries?
Find an equation of a parabola with a vertex at the origin and directrix y = -4
Provide three unique examples of polynomials of varying degree and classification. State the classification and degree of each. (ie. 3x3+2y2x2 classification: binomial, degree: fourth)
Jamar has a bag that contains apple chews, lemon chews, and peach chews. He performs an experiment. Jamar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Jamar performs the experiment 59 times. The results are shown below: An apple chew was selected 53 times. A lemon chew was selected 3 times. A peach chew was selected 3 times. Based on these results, express the probability that the next chew Jamar removes from the bag will be apple chew as a decimal to the nearest hundredth.

To keep her grades up madeline must earn more than 80 points on her science fair project. Let p represent the number of points she could earn.

Answers

Answer:

$p > 80$

Step-by-step explanation:

Given

Points = More than 80

Required [Missing from the question]

Represent as an inequality

Let p represents the number of points.

More than means greater than i.e. >

Hence, more than 80 is represented as;

$p > 80$

a utility worker is 5.5 feet tall and is casting a shadow 4 feet long . at the same time a nearby utility pole casts a shadow 20 feet long. write and solve a proportion. to find the height of the utility pole

Answers

$x-height\ o\ the\ utility\ pole\n\n5.5\ \ \ -\ \ \ 4\nx\ \ \ \ \ \ -\ \ 20\n\n4x=110\ \ \ \ \ |:4\nx=27.5\n\nUtility\ pole\ is\ 27.5\ feet\ tall.$

What is the length of a rectangle with width 10 inches and area 45 inches^2? Use 3.14

Answers

Why would we need 3.14 as pi? The answer is 45/10 = 4.5 inches.

Answer

Step-by-step explanation:

How many zeros does the function f(x) = 2x14 − 14x6 27x3 − 13x 12 have?

Answers

Answer:

14 zeros

Step-by-step explanation:

For functions, the highest power is the amount of zeros. The highest power in this equation is 14 so it has 14 zeros.

Answer:

The function f(x) has 14 zeros.

Step-by-step explanation:

We know that by Fundamental Theorem of Algebra :

Any polynomial equation of degree n with complex coefficient has exactly 'n' complex roots counting multiplicity.

Here we are given a polynomial function f(x) as:

$f(x)=2x^(14)-14x^6+27x^3-13x+12$

So, this polynomial function is of degree 14.

Hence, the given polynomial function f(x) has exactly 14 zeros.

A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is 950 ft2. If the length of the pool is 8 feet longer than the width, find the dimensions of the pool.

Answers

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^(2)$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^(2)$

$x^(2) + 20\cdot x + 84\,ft^(2) = 950\,ft^(2)$

$x^(2) + 20\cdot x - 866\,ft^(2) = 0$

The roots of the second-order polynomial is:

$x_(1) \approx 21.080\,ft$ and $x_(2) \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

How do you solve this?

Answers

find the soluiton

2x+2y=16
3x-y=4

x+y=8
3x-y=4+
4x=12
x=3
3(3)-y=4
9-y=4
y=5
(3,5)
test them to see if get true statment
obviously the first equatons of 1,2,4 work
1 doesn't work
2, works
4. doesn't work

2 is the same as the first except both euations are just doubled

answer is 2

Other Questions

Alexis has 32 2/5 ounces of beads. How many necklaces can she make if each uses 2 7/10 ounces of beads?

Find the lcm and gcf of the following numbers using prime factorization 1. 45,362. 12,26,323. 15,45,60

How do i solve 3x² - 8x + 2 = 0 using quadratic formula?

Write this expression in radical form