The sinusoidal function f(x)=33sin(7x−π12)+33 models the height, in centimeters, that a valve stem of the a tire is above ground x seconds after the tire begins to rotate.

How long does it take the valve stem to complete one revolution?

Answers

Answer 1

Answer:

0.90 seconds

Step-by-step explanation:

Answer 2

We will see that one complete revolution takes (2π/7) seconds.

How long does it take the valve stem to complete one revolution?

Here we have the function:

f(x) = 33sin(7x−π/12) + 33

The time needed to do a full revolution is given by the period of the function.

Remember that:

sin(x) = sin(x + 2π).

Then:

sin(7x−π/12) = sin(7*(x + T) −π/12)

Then we must have:

2π = 7*T

Where T is the period.

Solving for T, we have:

2π/7 = T

This means that one complete revolution takes (2π/7) seconds.

If you want to learn more about sine functions, you can read:

https://brainly.com/question/9565966

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Related Questions

2/3 - 1/3 what the difference

Answers

Answer:

2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)

Step-by-step explanation:

Answer:

.3333333

Step-by-step explanation:

because u have to math ight

Find Sin D and sin E! Write the answer as a fraction and as a decimal. Round to four decimal places, if necessary! Please help me!

Answers

D = 53.1301
E = 36.8699

Solve for x
14x + 2 = 9x - 3

Answers

-9x from both sides
5x+2=-3
-2 from both sides
5x=-5
x= -1

Answer:

[tex]x=-1[/tex]

Step-by-step explanation:

1) Subtract 9x from both sides.

[tex]14x+2-9x=-3[/tex]

2)  Simplify  14x+2-9x to 5x+2.

[tex]5x+2=-3[/tex]

3) Subtract 2 from both sides.

[tex]5x=-3-2[/tex]

4) Simplify  -3-2 to  -5.

[tex]5x=-5[/tex]

5) Divide both sides by 5.

[tex]x=-1[/tex]

Therefor, the answer is x = -1

What is the slope of the line passing through the points (3,5) and (-1,7)?

Answers

-1/2

To find the slope of the line between two points, we use the equation (y2-y1)/(x2-x1)

Substitute the values given for the xs and ys:

(7-5)/(-1-3)

2/(-4)

simplify: -1/2

Answer:
Slope=-1/2
Hgvvvgssf

Write the equation of the line, in point-slope form, that passes through the points (-6, -11) and (-2, -3).

Answers

Answer:

6 ..........................

66666666666666666666

Which equation describes the line that passes through the points (-4, 19) and (2, -1)

Answers

Answer:

y=-5/2x+4

Step-by-step explanation:

find the slope by using y2-y1/x2-x1

-1-19/2-(-4)

simplify

-20/8

simplify

-5/2

use slope-intercept form, y=mx+b

since we know the slope, find b

plug in one of the ordered pairs into the equation

-1=(-5/2)(2)+b

simplify

-1= -10/2+b

simplify

-1=-5+b

add 5 to both sides

b=4

plug b into y=-5/2x+b

y=-5/2x+4

the answer would be.:answer- -5/2+4

What type of triangle (right, obtuse, acute) do the angles 5,5,5 form?

Answers

Answer:

acute

Step-by-step explanation:

5 is lower than a 90* angle

if this is wrong I'm very sorry.

in the diagram below, BD is parallel to XY. What is the value of x?

Answers

Answer:

A. 55

Step-by-step explanation:

Answer: A. 55

Step-by-step explanation:

Use the GCF (Greatest common factor) to factor the expression 3.02
+ 8x

Answers

Answer:

hi

Step-by-step explanation:

What is the simplest form of this expression?

Answers

Answer:

c

Step-by-step explanation:

9x^2-9x^2=0

10x-5x=5x

4-(-1)=5

5x+5

hope this helps (:

Twenty divided by the difference of seven and three. Numerical expression

Answers

Answer:4

Step-by-step explanation:20 divided by(7-3)

You can buy 5 cans of beans at the Village Market for $3.20. You can buy 10 of the same cans of beans at Sam’s Club for $7.30. Which place is the better buy?

Answers

Answer:

Village Market

Step-by-step explanation:

3.20÷5=.64

7.30÷10=.73

Village market because if you buy two packs of 5 cans to for $3.20 it will be only $6.40 compared to sams club for 10 cans for $7.30. At Village market you can get the same amount for a cheaper price

Lin runs 12 laps around a track in 15 minutes.

A. How many minutes per lap is that?

B. How many laps per minute is that?

C. If Lin runs 20 laps at the same rate, how long does it take her

Answers

Answer:

it will take 25.2 minutes for Lin to run 21 laps

Step-by-step explanation: give crown plsplsplsplsplsplsplsplsplspls, also have a good day!

A hibernating animal lost 5 pounds.
Write a signed number to represent this weight change.

Answers

Answer:

-2

Step-by-step explanation:

The sign would be negative because the pounds were lost not gained

3. In a survey on juice preference, 68 students prefer orange
juice and 32 prefer apple juice.
Jui
Use difference to compare.

Answers

Answer:

36

Step-by-step explanation:

68-32= 36

Answer:

i have 36

Step-by-step explanation:

all i did was subtract 32 from 68

can some help me wit dis​

Answers

The answer is 6

•Triangles always equal 180 degrees

•The top angle is 90 meaning the others are 45

45+3=48

48/8=6

Concession stand sales for football games totaled $1,563. The actual cost for the food and beverages was $395. How much profit did the concession stand make?

Answers

Answer:

$1168 i think

Step-by-step explanation:

$1,168

Total income ($1,563) subtracted by the cost of inventory ($395) is the profit ($1,168).

What is two thing you like about math

Answers

Answer:

1. Math encourages curiosity and questions.

2. Math can save you money. ...

What is the measure of angle X?_

Answers

Answer:

Hey this isn’t the answer, sorry

Step-by-step explanation:

I just need this answer to so let me know if you get the answer Thank you

The school that Rob goes to is selling tickets to a spring musical. On the first day of ticket sales the school sold 7 adult tickets and 4 child tickets for a total of $89. The school took in $119 on the second day by selling 7 adult tickets and 14 child tickets. Find the price of an adult ticket and the price of a child ticket.

Answers

Hint: create an equation. Ex. 7a + 4c = 89. If you need more help, let me know!

help please, the image is attached.

Answers

Answer:

A

Step-by-step explanation:

A

17 sheniabduajxhsgdhshs

What is the simplest form of of this expression?

Answers

Answer:

B

Step-by-step explanation:

How much sand is needed to fill a pit that
is 10m deep and 8m wide and 12m long?

Answers

Answer:

The answer is 960cm3

Step-by-step explanation:

you multiply all the numbers

what is the slope of -7,2 and -7,4

Answers

Answer:

The slope is undefined

Step-by-step explanation:

We can find the slope using

m = ( y2-y1)/( x2-x1)

    = (4-2)/( -7 -  -7)

    = (4-2)/( -7 +7)

   = 2 / 0

When we divide by 0, the result is undefined

The slope is undefined

Answer:

Undefined

Step-by-step explanation:

Since there is two points we can use (-7,2) and (-7,4) to find the slope

Slope formula for two points:

y2-y1/x2-x1

4-2/-7+7

Which is

2/0

Since 2/0 is not possible the answer will be undefined

Hope this helps!

100 POINTS!!! can someone help me please?? will give brainliest if correct!!​

Answers

Answer:

k= 15

Step-by-step explanation:

Answer:

k =15 and please give brainliest

Step-by-step explanation:

The number of years it will take for ​$510 to grow to ​$1,010.18 at 5 percent compounded annually is ____

Answers

Answer:

13.66 years

Step-by-step explanation:

Given data

P=$510

A=​$1,010.18

R=5%

t= ln(A/P)/r

susbstitute

t= ln(1,010.18/510)/0.05

t=ln1.980/0.05

t= 0.683/0.05

t= 13.66

Hence the time is 13.66 years

Suppose g(x) = f(x - 1) - 5. Which statement best compares the graph of
g(x) with the graph of f(x)?

Answers

D is your answer i believe

Step-by-step explanation:

using g(x), -1, which is our change of x will go right. -5 is our change in y, so therefore it goes down. negative means down, positive means up for our change of y. for our change of x, negative goes right, and postive goes left. thats why i think the answer is d

solve x best aw gets brain​

Answers

you would equal them both to each other to find the answer of x=32

Answer:

x=32

Step-by-step explanation:

The explanation is in the picture. Whenever you want to check your answer plug that number in.

The third term in an arithmetic sequence is 9 and the fifth term is 21 . If the first term if a1, which is an equation for the nth term of this sequence?

A:an=6n-9
B:an=14n+6
C:an=6n+14
D:an=9n-6

Answers

Answer:

A: an = 6n - 9

Step-by-step explanation:

third term in an arithmetic sequence is 9

a3 = a + 2d

a + 2d = 9

the fifth term is 21

a5 = a + 4d

a + 4d = 21

a + 2d = 9 (1)

a + 4d = 21 (2)

Subtract (1) from (2) to eliminate a

4d - 2d = 21 - 9

2d = 12

d = 12/2

d = 6

Substitute d = 6 into (1)

a + 2d = 9 (1)

a + 2(6) = 9

a + 12 = 9

a = 9 - 12

a = -3

nth term of this sequence = a + (n - 1)d

= -3 + (n - 1)6

= -3 + 6n - 6

= 6n - 9

an = 6n - 9

Spoorthi plants 5 tree seedlings for every 3 that Hammad plants. If Hammad planted 6 trees in a minute, how many did Spoorthi plant?

Answers

For every 3 trees H plants, S plants 5. H plants 6 so S plants 10

There are two groups of 3 in the 6 trees that H plants. That means there will be two groups of 5 that S will plant.

The answer is 10
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