Cooper Toy Company has designed a new toy that uses a spring that follows a
sinusoidal curve after you wind it up and start it. At t = 5 seconds, the end of
the spring is at its highest point, 18 cm above the ground. Four seconds later,
the spring is at its lowest point, which is 6 cm above the ground. Find an
equation that will determine the height of the spring at any time t.
a) Find the height of the spring after 26 seconds.
b) Find the first time the height of the spring reaches 16 cm above the ground.

Cooper Toy Company Has Designed A New Toy That Uses A Spring That Follows Asinusoidal Curve After You

Answers

Answer 1

Answer:

Step-by-step explanation:

b] find the first time the height of the spring reaches 16 cm above the ground.


Related Questions

Find the solution to each system using elimination.x - 2y = 7x−2y=7 and 2x + 5y = -42x+5y=−4

Answers

Answer: dont even know tbh

Step-by-step explanation:?


6. Which equation has infinite solutions?
A. 6x + 5 - 2x = 4 + 4x - 1
B. - 3+ 12x = - 3( 4x - 1)
C. 5 (x + 3) + 2 = 5x + 17
D. - 5 (x - 5) = - 25 + 5x

Answers

Answer:

C

Step-by-step explanation:

5x+15+2=5x+17

2 Simplify 5x+15+25x+15+2 to 5x+175x+17.

5x+17=5x+17

5x+17=5x+17

3 Since both sides equal, there are infinitely many solutions.

Infinitely Many Solutions

YES I WILL MARK BRAINLIST !!! Algebra please help me with these Im timed!!!!!!!!
The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

Here is the data that the track coach collected for 8 runners.

Answers

Answer:

The answer is the last one: One runner in the study runs 31...

Step-by-step explanation:

31 is the input (x) and 81 is the output (y) and since there's 1 ordered pair per runner, it's going to be one runner, and the input is the miles ran.

The point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

What is Data?

In mathematics, data is a collection of facts and figures that can take any shape, whether it be numerical or not. You can calculate numerical data, which is always gathered in number form and includes things like student test results, employee salaries, football team member heights, etc.

Given:

The college track coach conducts a study to see if the number of miles a person runs per week affects the standing heart rate (beats per minute).

So, the point (31, 81) tells that the runner run 31 miles this week with hear rate 81 beats / min

Hence, point (31, 81) tells One runner in the study runs 31 miles per week and has a standing heart rate of 81 beats per minute.

Learn more about data here:

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Are these lines perpendicular?
yes
no

Answers

Answer: yes they are perpendicular

help pls please hmmm​

Answers

Step-by-step explanation:

Here is your answer

(2)⁴*³2¹²

Answer:

2^12

Step-by-step explanation:

Since 2^4 is already powered you will only power the 4 and not the 2

For example (a^2)^3 = a^6

and not a*a*a^6

You only power the 2 and not the "a"

Hope this helps!

80 as the product of it prime factors in ascending order

Answers

Answer:

Factors of 80: 1, 2, 4, 8, 10, 20, 40, and 80.

Prime Factorization of 80: 80 = 24 × 5.

Step-by-step explanation:

Answer:

This is true

Step-by-step explanation:

This is true because of the communitive property that makes the numbers you multiply the same product in different orders

PLZ HELP find the y and x-intercepts. y=-2x+4 PLEASE EXPLAIN

Answers

[tex]\text{Given that,}\\\\y = -2x+4\\\\\text{Plug y= 0 to find the x-intercept,}\\\\0 = -2x +4\\\\\implies 2x = 4\\\\\implies x = \dfrac 42 = 2\\\\\text{So the x - intercept is (2,0)} \\ \\\text{Plug x =0 to find the y-intercept.}\\\\y = -2(0) +4 = 0 +4 = 4\\\\\text{So the y - intercept is (0,4)} \\[/tex]

2 + 2 = ? plz help me

Answers

Answer:

2+2=4

Step-by-step explanation:

thats the Anewer I know that it

Answer:

4

Step-by-step explanation:

Same thing as 2 x 2 = 4

Please help me.......................

Answers

Answer:

D) 53.1

Step-by-step explanation:

we can use the soh,cah,toa rule

sin = opp/hyp

cos = adj/hyp

tan = opp/adj

we would use tan because the opposite side of the angle is revealed as 12

the adjacent side of the angle is revealed as 9

there for

tan(theta) = 12/9

theta = arctan(12/9) = 53.1

arctan = tan^-1 = inverse of tan

What is the answer

80x+56=100​

Answers

Answer:

Ur answer buddy

The equation80x+56=100

First, solve like this80x = 100 - + 56

U have to know the formula

- + = -

+ + = -

- - = +

+ - = +

So, The answer is

80x = 44

Now , we have divide

80/44 = 40/22 = 20/11= 1.8182.


What does R represent?
A. a line segment
B. a point
C. a line
D. a rat

Answers

Answer:

B

Step-by-step explanation:

Simplify.
4x2+2xx2+x−28x2+4x3x2+10x+8

Answers

Answer:

3x+4/2(x-1)

Step-by-step explanation:

Took the test


Help me I don’t know if it -7 and -12

Answers

Answer:

I think it's-12

I am not sure

Please ask to some one else please

Answer:

X < -7

Explain:


Please help again forgot everything

Again

Answers

Answer:

Option D

Step-by-step explanation:

a/3 = 8/6

a × 6 = 8 × 3

6a = 24

a = 24/6

a = 4

Hence,

Option A is correct

Answer:

4

Step-by-step explanation:

cross multiply

a x 6=3 × 8

or,a=24/6

There fore a=4

my Christmas present to you​

Answers

Answer:

thankss

Step-by-step explanation:

Maria walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes. If she continues to alternate walking and running at the same paces, how many laps will she complete in 16 minutes?

Answers

Answer:

8 laps

Step-by-step explanation:

every 8mins 4 laps are run

Maria completed a total of 8 laps in 16 minutes.

What is a expression? What is a mathematical equation? What is Equation Modelling?

A mathematical expression is made up of terms (constants and variables) separated by mathematical operators. A mathematical equation is used to equate two expressions. Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

We have Maria who walks 2 laps in 5 minutes and then runs 2 laps in 3 minutes.

Assume that she completes [x] laps in 16 minutes.

x = L[walking] + L[Running]

x = (2 + 2) + (2 + 2)

x = 8

Therefore, Maria completed a total of 8 laps in 16 minutes.

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If these numbers represent temperature in degrees Celsius, which is the coldest ​

Answers

Answer: I don’t know

Step-by-step explanation: I don’t know because there is no numbers but the coldest Celsius I know is -273 degrees Celsius

Pls help me
4(3-x)=6(x+2)+20

Answers

Answer:

x = -2

Step-by-step explanation:

equivalent expression for: 3(1-7)

Answers

Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:


Need help on 19-21 homeowrk I don’t need the rest I couldn’t crop out so only 19 throught 21

Answers

Answer:

19. 7, 20. 4, 21. 1

Step-by-step explanation:

19. 21 = 3 x 7, 49 = 7 x 7, So they both share 7

20. 8 = 2 x 2 x 2, 52 = 2 x 2 x 13, they both have 2 x 2

21. 32 = 2 x 2 x 2 x 2 x 2, 81 = 3 x 3 x 3 x 3, they have nothing in common, so they share a 1.

please explain why. Thanks

Answers

Question :-

Is (x-2) is a factor of x³-3x²-x +7 –

Yes No ☑

Explanation :-

We are given

Polynomial function, P(x) = x³-3x²-x +7

In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

Let's find value of x!

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf P(x) = x³-3x²-x +7[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf Q(x) =x - 2 [/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf If \:Q(x) = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x - 2 = 0[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\bf x = 2[/tex]

Now Put x = 2 into the polynomial –

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 8 -12 +5[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf P(2) = 13-12[/tex]

[tex]\qquad[/tex] [tex]\purple{\twoheadrightarrow\bf P(2) =1 }[/tex]

Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

3. Is the triangle a right triangle? Explain.
1.9
2.7
3.23

Answers

we have: [tex](3,23)^{2} \neq (1,9)^{2} +(2,7)^{2}[/tex]

so the triangle isn't a right triangle

ok done. Thank to me :>

5n + 2m+4n
30m 30m
Simplify Each Expression

Answers

Answer:

5n+2m+3600nm^2

Step-by-step explanation:

pleaseeeeeee helpppppppp​

Answers

Answer:

B) Multiplying by 0

Step-by-step explanation:

This answer is correct because lets say we have a nonzero number, (IN this case lets say 4) 4+0 is 4, and that does not change the value because it is still 4, so A is not correct. Multiplying by 1 and dividing by one leads to the same conclusion. They both wind up to 4. The only one is B) because 4x0 is 0 and that isn't 4, so it changes value.

Hope this helped :)

What is the conjugate of the binomial squareroot 6+4​

Answers

Answer:

We solve 6 + 4

6 + 4 = 10.

Square root of 10:

Step-by-step explanation:

The bird house in your friend's yard casts a shadow that is 14 feet long. Your friend is 5 feet tall and casts a shadow that is 3.5 feet long. What is the height of the bird house?

Answers

Answer:

  20 ft

Step-by-step explanation:

The shadow of the bird house is 14/3.5 = 4 times the length of your friend's shadow. Consequently, we expect the height of the bird house to be 4 times the height of your friend:

  4(5 ft) = 20 ft

The height of the bird house is 20 ft.

Step-by-step explanation:

that creates 2 similar triangles.

that means all angles are the same, and all side lengths of one triangle correlate to the corresponding side lengths of the other triangle by the same multiplication factor.

so,

3.5 × f = 14

f = 14/3.5 = 4

and now the range factor applies in the relation between the heights :

5 × 4 = 20 ft

the bird house is 20 ft high.

Calculate the volume of a sphere with radius 2.5 meters.
36.81 m3
65.45 m3
8.18 m3
26.18 m3

Answers

volume = the second answer = 65.45 m3

[tex]\huge \bf༆ Answer ༄[/tex]

Let's calculate the volume of sphere with :

radius = 2.5 m

[tex] \sf \: vol = \dfrac{4}{3} \pi {r}^{3} [/tex]

Now, plug the value of radius (r) and find volume ~

[tex] \sf \dfrac{4}{3} \times 3.14 \times 2.5 \times 2.5 \times 2.5[/tex]

[tex] \sf \dfrac{12.56}{3} \times \dfrac{25 \times 25 \times 25}{1000} [/tex]

[tex] \sf \dfrac{12.56 \times 15625}{3} \times \dfrac{1}{1000} [/tex]

[tex] \sf \approx65416.67 \times \dfrac{1}{1000} [/tex]

[tex] \approx65.416[/tex]

The value closest to it is 65.45

Therefore, that's the most appropriate choice ~

[tex] ꧁  \large \rm{kaul} \: ꧂[/tex]

is this correct ? if not what’s the correct answer?

Answers

Answer:

yes

Step-by-step explanation:

HELP ME PLEASEEE !!

DON'T GIVE ME IRRELEVANT ANSWERS PLEASE

Answers

I think the picture cut off can u take another one

Matilda earns 48$ in 4 hours, How many hours does it take her to earn 288$?

Answers

Answer:

24

Step-by-step explanation:

If Matilda earns $48 in 4 hours, then she must earn 48/4 (12) dollars per hour. We know she earns $12 per hour, and that she made $288, so we divide the total amount earned (288) by her hourly wage ($12) to find she worked 288/12 or 24 hours.

Matilda will earn $288 in 24 hours.

What are word problems?

A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.

Given is that Matilda earns $48 in 4 hours.

Let us assume that it will take her {x} hours to earn $288.

Then, we can write -

there is earning of $48 in 4 hours.

so, there will be earning of $1 ins (4/48) or (1/12) hours.

hence, she will earn $288 in (1/12 x 288) or 24 hours.

Therefore, Matilda will earn $288 in 24 hours.

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