a weight is attached to the end of a spring. its height after ttt seconds is given by the equation \qquad h(t)

Answers

Answer 1

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

When is the maximum height?

This time is determined by the projectile's starting velocity as well as the angle of projection. When the projectile reaches a vertical velocity equal zero magnitudes, it has reached its maximum height. Furthermore, gravity would take over and accelerate the thing downward.

According to the given data:

Given that,

y = -2sin[tex](\frac{2\pi (t+1)}{7})[/tex] + 5

For maximum height,

sin(2π(t + 1))/7) = -1

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = sin⁻¹ (- 1)

(2π(t + 1))/7) = 3π/2

t + 1 = 21/4

t = 4.25 seconds

Hence,

we can conclude that at t = 4.25 seconds,

The weight, according to the supplied statement, reaches its greatest height at 4.25 seconds.

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I understand that the question you are looking for is:

A weight is attached to the end of a spring. Its height after t seconds is given by the equation. -2sin(2pi(t+1)/7)+5 When does the weight first reach its maximum height? Answer in t seconds.


Related Questions

what is a linear equation that contains these points?​

Answers

B. It can be written in the following form: y=7+0*x so for any value of x, y would be 7

e^2 x e^3=? jbdbiuevdeqdkjufwdufhdkfbskdjbfwjrbfkuwvkusnaer

Answers

Answer:

e^5

Step-by-step explanation:

When you multiply with exponents you add ONLY the exponents and multiply the variables    

What decimal is equal to 6/20


O 0.2
O 0.3
O 0.6
O 0.8

Answers

the answer is 0.3 :)................
0.3....................


(6x + 5)
°
(3x + 4)º
A)16
B)10
C) 6

D) 9

E) 14​

Answers

Answer:

9

Step-by-step explanation:

PLS ANSWER ASAP
Subtract.
−13−(−27)
Enter your answer in the box.

Answers

Answer:

14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Need help with this one
Please and thank you

Answers

Answer: -2 is a no. -9 is a yes. 2 is a no. -8 is a no.

Step-by-step explanation:

-9 yes and no to the rest

Please help me in this Im failing.​

Answers

Answer:

B and C

Step-by-step explanation:

The answer to your question is either B or C. I hope this helps

Average student loan debt after a bachelors degree increases from 18,108 in 2004 to 28,522 2014. Find the absolute change

Answers

Answer:

The absolute change is 10,414

Step-by-step explanation:

To get the absolute change, we simply use the mathematical formula below

Absolute change = New value - Original value

From the question, the new value is 18,108 while the original value is 28,522

So the absolute change will be;

28,522-18,108 = 10,414

Write the ratio
2/3 /5
in simplest form

Answers

Answer:

A) 2/15

Step-by-step explanation:

So just divide it normally, do keep change flip

2/3*1/5

2/3 keep

divison change

Denomeinator, flip it, 5 to 1/5

now multiply

2/15

Please help with this math question...
When using Interval Notation, explain how the grouping symbols are used and how to determine the order of the numbers used in the interval. Use words such as: brackets, smallest, non-included, included, largest, interval, and parentheses.

Answers

Answer:

Step I: Simplify the operations inside grouping symbols. Step II: Simplify the powers. Step III: Solve multiplication and division from left to right. Step IV: Solve addition and subtraction from left to right.

Please I need your help quickly guys,

Answers

Substitute -6 for x.

(-6+3)/(-6-1).

-3/-7.

--=+

Answer: 3/7.

PLZ HELP ME ON THIS QUICK

Answers

Answer:

the answer will be x=6 because 6×3=18 hope this helps

I will mark brainlist and 5 stars, please help.

Answers

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

since the rectangles are similar their sides are in proportion

h/210 = 60/84

h= 60*210/84 = 150 cm

function f gives the distance of a dog from a post, in feet, as a function of time in seconds, since its owner left. Find the value of f(20) and of f(140)

Answers

The value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

In the question ,

the graph represents a function which gives the distance of a dog from a post (in feet ) ,

to find, f(20) which means the distance of the dog from the post after 20sec .

As we can see from the graph that at t=20 sec the distance from post (in feet ) is 3feet .

which means f(20) = 3feet .

Also from the graph we see that at t=140 sec the distance from post (in feet ) is 3.5 feet .

which means f(140) = 3.5 feet .

Therefore , the value of f(20) is 3 feet  , and the value of f(140) is 3.5 feet .

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Your cell phone company charges $20 per month for 500 minutes plus an additional
10 cents per minute for additional usage. If you use 510 minutes this month how
much should you expect to pay?
$1000
$21
$20
$20.10

Answers

Answer:

$21

Step-by-step explanation:

$20 for the 500 minutes

We still have to pay for 10 minutes.

10 cents per minute.

10centsx10 minutes.

100 cents, also known as 1 dollar.

$20 plus $1 means the answer is $21.

Hope this helps!

-AxekickNebulite

What is the equation of the line that passes through the points (5, 3) and (-3,-1)?

Answers

Answer:

y=1/2x+1/2

m=1/2

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(5,3) and (-3,-1).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (5,3), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=5 and y1=3.

Also, let's call the second point you gave, (-3,-1), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=-3 and y2=-1.

Now, just plug the numbers into the formula for m above, like this:

m=

-1 - 3 over

-3 - 5

or...

m=

-4 over

-8

or...

m=1/2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=1/2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(5,3). When x of the line is 5, y of the line must be 3.

(-3,-1). When x of the line is -3, y of the line must be -1.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=1/2x+b. b is what we want, the 1/2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (5,3) and (-3,-1).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(5,3). y=mx+b or 3=1/2 × 5+b, or solving for b: b=3-(1/2)(5). b=1/2.

(-3,-1). y=mx+b or -1=1/2 × -3+b, or solving for b: b=-1-(1/2)(-3). b=1/2.

See! In both cases we got the same value for b. And this completes our problem.

The equation of the line that passes through the points

(5,3) and (-3,-1)

is

y=1/2x+1/2

2. Find f(x)*g(x) *
f (x) = -2x + 4 and g(x) = 2x2 – 3x + 4

Answers

Answer:

i believe your answer is ..... f(2x^2-3x+4)= -4x^2+6x-4

Step-by-step explanation:

hope that helps

Help plz
Btw it's NOT A and B​

Answers

Answer:

C

Step-by-step explanation:

I'd like to remember that the signs are pointing at the direction

Answer:

its c

Step-by-step explanation:

The area of a rectangle is 24 square centimeters and its side lengths are x centimeters and x+ 2 centimeters,
a. Find the side lengths of the rectangle. Justify your answer.
b. Find the perimeter of the rectangle.

Answers

Step-by-step explanation:

area of rectangle= x ( x +2 ) = 24

X2 + 2X = 24

X 2 +2X _24 = 0

(X +6 ) ( X _4 ) = 0

X= 4

X= - 6.......refused

side length of rectangle is 4 , 6

perimeter= 2( 4+6) = 20 Cm

The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

What is perimeter of rectangle?

The perimeter of a rectangle is the sum of its four sides. Hence,

Perimeter of Rectangle = 2 (Length + Width) units.

What is area of rectangle?

The area of the space occupied within the perimeter of a rectangle is called the area of a rectangle. It is calculated by finding the product of the length and breadth of the rectangle.

Area of rectangle = Length * Breath

According to the question

Area of a rectangle =  24 square centimeters

Side length  = x+ 2

Side Breath  = x  

Now,

a>  using Formula of Area of rectangle

Area of rectangle = Length * Breath

substituting the value

24 = x * (x+2 )

24 = [tex]x^{2} +2x[/tex]

[tex]x^{2} +2x[/tex] - 24 = 0

[tex]x^{2} + (6-4)x -24 =0[/tex]

(x +6 ) (x-4) = 0

x = -6 , +4

side cannot be negative

Therefore

Breath  of rectangle (x) = 4 cm

Length of rectangle (x+2) = 6 cm

b> Perimeter of the rectangle  = 2 (Length + Breath) units.

substituting the value

Perimeter of the rectangle  = 2 ( 4 + 6 )  

                                               = 20 cm

Hence, The side lengths are 4cm , 6cm and perimeter of rectangle is 20cm.

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please help me. will give brainlist

Answers

Answer:

x= 2.2

Step-by-step explanation:

10/11 = 2/x

cross multiply to get

10x=22

x=2.2

Answer:

x = 2.2 (Verified Answer) ✅

Step-by-step explanation:

We need to set up a proportion where the triangle with side x is proportional to the triangle with a side measure of 2.

So, 10/2 = 11/x

We cross multiply to get 10x = 22

Dividing gives us x = 2.2

We can check our answer by substituting our answer in for x.

10/2 = 11/2.2

22 = 22 ✅

I need help with this

Answers

Answer:

I WAS BORN TO FLEX DIMONDS ON MY NECK I LIKE MORNING CHECKS I LIKE MORING S**

Step-by-step explanation:

How would you factor a^3 - b^3? Please leave detailed instructions. Thanks so much!

Answers

a³ - b³ = (a - b) (a² + ab + b²)

You can see why this works if you expand the right side as

a (a² + ab + b²) - b (a² + ab + b²)

(a³ + a²b + ab²) - (a²b + ab² + b³)

Both the a²b and ab² terms cancel, leaving you with a³ - b³.

What is perpendicular to 1/6

Answers

Note: Your question is a little ambiguous and incomplete. I am assuming you are talking about the slope of lines here.

Answer:

the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]

Step-by-step explanation:

Note: I am assuming you are talking about the slope of lines here.

Given

The slope of line = 1/6

As we know that the slope of the perpendicular line is basically the negative reciprocal of the slope of the line.

Thus, the slope of the perpendicular line will be:

[tex]\frac{-1}{\frac{1}{6}}=-6[/tex]

What is the y-intercept of the graph of the line whose equation is y=3/4x+1
0
1
3/4
4/3

Answers

Answer:

The correct answer is "1".

Step-by-step explanation:

You need only set x to zero, and solve for y:

[tex]y = \frac{3}{4} x + 1\\y = \frac{3}{4}0 + 1\\y = 1[/tex]

3)
Which two ratios form a proportion?
A)
4
and
2
B)
IN
4
and
1 8
8
and
D)
IN
16
and
8

Answers

Answer:

D is the correct answer

What is the first term of an AP whose common difference is 2 and 31st term begin -88

Answers

Answer:

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

[tex]a_{n[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

 

a₁ = - 148

Step-by-step explanation:

The n th term of an AP is

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given d = 2 and a₃₁ = - 88 , then

a₁ + (30 × 2) = - 88

a₁ + 60 = - 88 ( subtract 60 from both sides )

a₁ = - 148

The Question’s above

Answers

Answer:

B

Step-by-step explanation:

answer the question plz​

Answers

Yes reflection about the y axis...

If the coordinates of point a are (-2 3) what is the image of a under y-axis d3

Answers

Answer:

The coordinates of the image under the y-axis will be:

a'(2, 5)

Step-by-step explanation:

Given the point

(2,3)

We know that when we reflect a point across the y-axis, the y-coordinate remains the same, but the x-axis reverses its sign.

Thus,

Rule of reflection under y-axis:

P(x, y) → P'(-x, y)

Here, P'(x, y) is the image of the P(x, y)

Given that the point

a(-2, 5)

Thus, the coordinates of the image under the y-axis will be:

(x, y) → (-x, y)

a(-2, 5) → a'(-(-2), 5) = a'(2, 5)

Therefore, the coordinates of the image under the y-axis will be:

a'(2, 5)

I’ll love you forever if you help me with this ASAP PLEASE

Answers

Answer:

A: -0.33

Step-by-step explanation:

If you convert it to slope-intercept form, you get y = -1/3x + 4 so the slope is -1/3 or -0.33

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