the position of a weight suspended from a spring is defined by the following function s(t)=cos(2t). find the velocity at pi/12

Answers

Answer 1
For velocity take the derivative
V(t) = -2sin(2t)
t= pi/2
V = 0

Related Questions

The regular price of a bicycle was $330.00. The bicycle went on sale for 25% off the regular price. What was the sale price of the bicycle?


It's do in 20 min!!!

Answers

Answer:

$247.50

Step-by-step explanation:

330 decrease 25% =

330 × (1 - 25%) = 330 × (1 - 0.25) = 247.5

I keep getting the wrong answer. Please help! My answer -2/25h5q3

Answers

Answer:

You've got it right. Unless its because the answer is negative.

Step-by-step explanation:

i'm sorry, hope this helps

I NEED HELP!!!!!!!!!!!

Answers

Answer:

50-3 x 12 - 9

Step-by-step explanation:

Answer: 50-3 x 12 - 9

Answer quick pls I need help

Answers

Answer:

1. 0.33

2. the cost per ounce

3. that everytime you go up an ounce, it will cost 0.33 more

4. y = 0.33x + 0.33

Step-by-step explanation:

There is an ample supply of identical blocks (as shown). Each block is constructed from four 1 × 1 × 1 unit-cubes glued whole-face to whole-face. What is the greatest number of such blocks that can be packed into a box that is 6 units tall, 7 units wide, and 8 units deep without exceeding the height of the box?

Answers

Answer: 72

Step-by-step explanation: We did this question during class and this was the answer. Hope this helps!

The number of block that can be placed in box can be calculated by finding the area of the ample supply of identical blocks.

The number of block that can be placed in block is 84.

Given:

The box is 6 units tall, 7 units wide, and 8 units deep.

Calculate the area of the box.

[tex]\begin{aligned}{\rm Area\: of\:the\: box}=6\times7\times 8\\=336\:\rm units\\\end[/tex]

The four block has [tex]1\times1\times1[/tex] unit-cubes.

Calculate the area of 4 block.

[tex]\begin{aligned}{\rm Area\:of\:four\:block}&=4\times1\times1\times1\\&=4\\\end[/tex]

Now, calculate the number of block that can be placed,

[tex]\begin{aligend}{\rm Block\: placed\: in \:box}&=\dfrac {\rm Area\: of\: box}{\rm Area \:of\: Block}\\&=\dfrac{336}{4}\\&=84\\\end{aligned}[/tex]

Thus, the number of block that can be placed in block is 84.

Learn more about area here:

https://brainly.com/question/25632432

Need help. Please and thank u

Answers

Answer:

1)

(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12

Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.

2)

a) x^2 + x - 2

b) x^2 - 7x + 10

c) 4x^2 - 1

d) x^2 + 10x + 25

Step-by-step explanation:

a. (x - 1)(x + 2)

x(x) - 1(x) + 2(x) - 1(2)

x^2 - 1x + 2x - 2

x^2 + x - 2

------------------------------------------

b. (x - 5)(x - 2)

x(x) - 5(x) - 2(x) - 5(-2)

x^2 - 5x - 2x + 10

x^2 - 7x + 10

------------------------------------------

c. (2x + 1)(2x - 1)

2x(2x) + 1(2x) - 1(2x) + 1(-1)

4x^2 + 2x - 2x - 1

4x^2 - 1

------------------------------------------

d. (x + 5)^2

(x + 5)(x + 5)

x(x) + 5(x) + 5(x) + 5(5)

x^2 + 5x + 5x + 25

x^2 + 10x + 25

Choose >, <, or = to compare each pair of numbers

0.842 _____ 0.824

Answers

Answer:

>

Step-by-step explanation:

Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!

Write an expression showing 5 less than the number

Answers

x-5 is your expression

Answer:

5 < x (number)

Step-by-step explanation:

Find the sum of x + 0 and the opposite of 20

Answers

x+0=x and the opposite of 20 is -20

Explain answer !

Will give brainlst

Answers

Answer:

y = 6

Step-by-step explanation:

you cross multiply so 3 x 16 = 46 and 8 x y = 8y

it should look like this now -> 8y = 48

divide both sides by 8 -> y = 6

Answer:

y=6

Step-by-step explanation:

rewrite equation 16/y=8/3

multiply the numerator of the first fraction by the denominator of the second fraction. set this equal to the product of the denominator of the first fraction and the numerator of the second fraction

16 * 3= y * 8

rewrite equation as y*8=16*3

multiply 16 by 3

y*8=48

divide each term in y88=48 by 8

y=48/8

divide 48 by 8

y=6

PLS I NEED HELP! Which graph grows the fastest as x gets larger?
A. y = 3^x
B. y = 5^x
C. y = 4^x
D. y = 2^x

Answers

Answer:

y=5^x

Step-by-step explanation:

5 to whatever power will always be larger than 4, 3, or 2.

For example:

3 squared = 9

5 squared = 25

4 squared = 16

2 squared = 4

25 is greater than 9, 16, and 4

how minutes is in a clock

Answers

Answer:

720 Minutes

An analogue clock is split up evenly in two ways. Minutes are sixty equal parts and hours are 12 equal parts. That means that for every hour maker from 12 there are also five minute markers.

Hoped this helped!

Brainly, please?

60 multiply by 12 so your answer is 720 minutes

Um ônibus escola pode transporta ete 32 alunos quantos ônibus iguais são necessários para transportar 1 120 alunos​

Answers

Answer:

sorry i dont know what the answer is

Step-by-step explanation:

Choose the correct simplification of (9xy^5)^2.

A) 18x^2y^10
B) 18x^2y^7
C) 81x^2y^7
D) 81x^2y^10​

Answers

Answer:

D) 81x²y¹⁰

Step-by-step explanation:

(9xy⁵)²

Because all of 9xy⁵ are in the parentheses, each component is raised to the 2nd degree.

(9)² = 81

(x)² = x²

(y⁵)² = y¹⁰ -- When you raise an exponent to another exponent, you multiply the exponents.

Now combine the components.

D) 81x²y¹⁰

Can y’all help me on question 16?!

Answers

600kb in 24 seconds to find out how many kbs per second divide by 24
600/24 is 25kb

Answer it fast please​

Answers

The answer is 1

Hope this helped!

0.07776 is the answer

approximately 0.01

Mr. Jenkins is buying paint to paint the garage wall. He needs to know the area of the wall in order to know how much paint he will need to buy. The wall is 24 feet wide and 12 feet tall. What is the area of the garage wall?

Answers

Answer:

288

Step-by-step explanation:

just  multiply its height by its width let me know if im wrong or not please

Answer:

i think c

Step-by-step explanation:

The distance between point A and point B is 2 1/2 units. Which number could represent point B?

A)-30. B)2.5. C)-2.0. D)3.5

Answers

C. 2.0
I just took the test

A moving truck states that it holds 300 cubic feet of boxes. The truck is 25feet in length and 8 ft in height. What is the width of the moving truck

Answers

Answer:

77

Step-by-step explanation:

Answer:

25x8xW=300

We=300/25x8

W=1.5 feet

In AOPQ, q = 18 cm, o = 96 cm and ZP=142°. Find the length of p, to the nearest
centimeter.

Answers

Answer:111

Step-by-step explanation:

Answer: 111

Step-by-step explanation:

John can read 12 1/2 pages in 25 minutes. At this same rate, how long would it take to read 1 page? How many pages could he expect to read in 1 minute

Answers

Answer:

divide 12 and 1/2 by 25 and can I get branliest

Step-by-step explanation:

Answer:

it would take him 2 minutes to read one page

He can read half a page in 1 minute

Step-by-step explanation:

Part 1

ratio time/pages

25/12.5=x/1

cross multiply

12.5x=25

x=2

ratio time/pages

25/12.5= 1/x

cross multiply

25x=12.5

x=0.5

HELP me with this pls

Answers

Answer:

1/3 × 4/3

Step-by-step explanation:

because

if a/b ÷ c/d

the behind one > c/d >must change to > d/c

so a/b × d/c

Jude graphed the inequality s < -9,="" as="" shown.="">

A number line going from negative 12 to negative 4. A closed circle is at negative 9. Everything to the left of the circle is shaded.

Is his graph correct? Explain why or why not.

Answers

Answer:

Step-by-step explanation:

What does  ="as="shown.=">  mean?

No, his graph of s<-9 is incorrect. There should be an open circle at -9.

Answer:

sample response I would suggest rewording it

Step-by-step explanation:

No, Jude’s graph is incorrect. The inequality symbol is “less than,” so -9 is not included. He should have used an open circle on -9.

A population of 2000 fish increases at an annual rate of 7.5%. Write the model, then predict how
many fish will there be in 10 years?

Answers

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Sol answered 49 questions correctly on a 63 question test.

Answers

Answer:

0.7

Step-by-step explanation:

49 out of 63 so it is 49/63 which is 0.7777 inf

Total world consumption of iron was approximately 900 million tons in 1993. If consumption had increased by 2.5% each year and the resources available for mining in 1993 were 450 billion tons, how much longer would the world’s iron resources have lasted?

Answers

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

if the circumfrence of a circle is 12pi cm. what is the area of the circle.

Answers

Answer:

11.46

Step-by-step explanation:

Answer:

11.46

Step-by-step explanation:

What is:
1. 50% of 6 =
2. 50% of 10 =
3. 50% of 8 =
4. 50% of 16 =
5. 50% of 22 =
6. 50% of 30 =
7. 25% of 8 =
8. 25% of 12 =
9. 25% of 20 =
13. 10% of 20 =
14. 10% of 40 =
15. 10% of 35 =

Answers

Answer:

3, 5, 4, 8, 11, 15, 2, 3, 5, 2, 4, 3.5

Step-by-step explanation:

1: 6*0.5= 3

2: 10*0.5= 5

3: 8*0.5= 4

4: 16*0.5= 8

5: 22*0.5= 11

6: 30*0.5= 15

7: 8*0.25= 2

8: 12*0.25= 3

9: 20*0.25= 5

13: 20*0.1= 2

14: 40*0.1= 4

15: 35*0.1= 3.5

3,5,4,8 the first fourth

how do you solve the following problem with a rectangular fraction model ​

Answers

Answer:

1/3 - 1/4 = 1/12Step-by-step explanation:

Solve for
x
7
(
x

2
)
<
2
x
+
3

Give your answer as an improper fraction in its simplest form.

Answers

if you are solving for x your answer would be

x < 17/5
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