A fly is standing on a boulder, which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled x xx meters, in newton meters, is given by τ ( x ) = 2 1000 sin ⁡ ( 2 π ( x + 0.2 ) 4 ) τ(x)= 1000 2 ​ sin( 4 2π(x+0.2) ​ )tau, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 1000, end fraction, sine, left parenthesis, start fraction, 2, pi, left parenthesis, x, plus, 0, point, 2, right parenthesis, divided by, 4, end fraction, right parenthesis. What is the midline of this function? Give an exact answer. y =

Answers

Answer 1

Question:

A fly is standing on a boulder which is rolling down a hill. The forward torque the fly exerts on the boulder when it has rolled 'x' meters, in Newton meters is given by

[tex]\tau(x) = \dfrac{2}{1,000} \cdot sin \left(\dfrac{2 \cdot \pi \cdot (x + 0.2)}{4} \right )[/tex]

Answer:

y = 0

Step-by-step explanation:

The general form of the sine function is presented as follows;

y = A·sin[B·(x - C)] + D

Where;

A = The amplitude

C = The horizontal shift

D = The vertical shift above the generic midline of y = 0 = Constant

By comparison with the general equation for torque, we have that the constant D = 0, therefore, the vertical shift = 0, and the midline of the the given function = The midline of the generic sine function which is y = 0.


Related Questions

PLease tell me how to do it that will give you brainliest

Answers

Answer: Table H would be the correct answer;

The rule of a function is that for each x-value given there can't be more than 1 y-value

In Table F:

x = -13, then y = -2

x = -13, then y = 0

x = -13, then y = 5

x = -13, then y = 7

For the x-value -13, there are 4 different y-values, so it's not a function.

In Table G:

x = -6, then y = 3

x = -1, then y = -1

x = -1, then y = 5

x = 10, then y = -9

For the x-value -1, there are 2 different y-values, hence this isn't a function.

In Table H:

x = 1, then y = 4

x = 3, then y = 4

x = 7, then y = 4

x = 12, then y = 4

For each x-value, there is only 1 y-value, so this is a function.

In table J:

x = -9, then y = -7

x = -2, then y = -5

x = 0, then y = 0

x = 0, then y = 6

For the x-value 0, there are 2 different y-value therefore this isn't a function

Hope this helps!

The volume of the figure, round to the nearest hundredth.

Answers

Answer: Imma need a picture to find the volume love.

Step-by-step explanation:

Can you help there is not an answer choice

Answers

Answer:

-3[tex]\frac{43}{72}[/tex]

Step-by-step explanation:

chage the proper fraction to improper and then multiply

Exact Form: − 259/72

Decimal Form: − 3.5972

Mixed Number Form: − 3 43/72 (answer)

How to:

Simplify the expression.

Have a great day and stay safe !


What value of x will make x1/4=3 true?

Answers

X=12 I believe because 4x3x1=12

Answer:

okay so, x would be 12

Step-by-step explanation:

( if you ever see p5 (or any other variable) then that’s means you gotta multiply, so maybe imagine it like px5, p5 would just be a easier way.)

1. x times 1 divided by 4 is 3, a simpler way to put it!

x would be 12 since 12x1 is 12

2. We divide 12 by 4 which gives us a total of 3

hope this helped!

What is the quotient of 5.76 x 10^7 and 9.0 x 10^4 expressed in scientific notation?

Answers

Answer:

6.4 x 10²

Step-by-step explanation:

1st step: divide 5.76 by 9 which is .64

2nd step: 10^7÷10^4 = 10^7-4 or 10³

Unit l2 trigonometry homework 6 law of cosines
Does anyone know the answer please help!​

Answers

Step-by-step explanation:

The law of cosine states that:

[tex]C^2=B^2+A^2-2AB\cos(\theta)[/tex], where C is the side opposite of angle theta, and A and B are the adjacent sides of the angle.

In this case, A is equal to 21, and B is equal to 30 (or it could also be the other way around). That means that:

[tex]C^2=21^2+30^2-2\cdot21\cdot30\cos(73)\\C=\sqrt{21^2+30^2-2\cdot21\cdot30\cos(73)}=\boxed{31.186722}[/tex] (to nearest 6 digits)

Answer:

102.61

Step-by-step explanation:

assuming that QS is the hypothesis we us the fromula like this:

[tex]30cos(73)[/tex]

which gives us 8.7711511417 or we can round to 8.77

assuming that QS is the adjacent  we use:

[tex]\frac{30}{cos(73)}[/tex]

which gives us 102.609108595 or rounded to 102.61

looking at both answers we can see that 102.61 would be the correct answer.

Which statement correctly describes the expression (-15)3?
A. One factor is positive and one factor is negative, so the product
will be negative
B. Both factors are positive, so the product will be positive.
C. One factor is positive and one factor is negative, so the product
will be positive.
D. Both factors are negative, so the product will be positive.

Answers

The answer is A.

-15 is a negative factor

3 is a positive factor

When a negative and positive is multiplied it produces a negative answer

A volume of the cone is (1/3) the volume of a cylinder. The volume of the sphere is what fraction of the volume of the cylinder?

Answers

Answer:

4/3

Step-by-step explanation:

To know this, let's write down the formulas for the volume of cylinder and sphere.

Vs = 4/3πr³   (1)

Vc = π r² h    (2)

Now, we do have a little problem here and its the fact that the sphere do not have a height like the cylinder do. But in this case so if you want to have an idea of the fraction of the volume, we will assume that the cylinder has the same height as its radius. Assuming this we have the following:

Vs / Vc = 4πr³ / 3πr²h

Vs/Vc = 4πr³ / 3πr³

From here, we can cancel out the values of π and r³:

Vs/Vc = 4/3

Vs = 4/3 Vc

Thus we can conclude that the volume of the sphere is 4/3 the volume of a cylinder.

Hope this helps

if 5a + 9 = 5 + 3a, then 2a=​

Answers

Step-by-step explanation:

5a+9=5+3a

2a=-4 is the required value

What is this shape? (sorry I'm d.umb)

Answers

Answer:

triangular prism

Step-by-step explanation:

repost on my warm up plz help

Answers

Answer:

oh srry ur not a scam

Step-by-step explanation:

Answer:

#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches

#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.

#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.

#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches

The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up

Hope this helps!

PLEASE HELP ME I AM BEING TIMED, I WILL MARK BRAINLIEST FOR WHOEVER GETS THIS RIGHT, WITH AN EXTRA 10 POINTS.

Answers

Answer:

Yes table 1 is

not proportional for table 2

Step-by-step explanation:

6 for table 1

nothing for table 2

The table shows the number of tickets sold and the profit made at the fundraiser

2 $18
4 $36
6 $54
8 $72

Which describes the relationship between the number of tickets sold and the profit

Each ticket sold yields $8 of profit
Each ticket sold yields $9 of profit
Each ticket sold yields $16 of profit
Each ticket sold yields $18 of profit

Answers

Answer:

first one is The table shows the number of tickets sold and the profit made at a fundraiser. Tickets Sold Profit

2 $18

4 $36

6 $54

8 $72

Which describes the relationship between the number of tickets sold and the profit?

Each ticket sold yields $8 of profit.

Each ticket sold yields $9 of profit

. Each ticket sold yields $16 of profit.

Each ticket sold yields $18 of profit.

Step-by-step explanation:

done

Answer:

b

Step-by-step explanation:

What is a reasonable domain and range for the function in #13 If the frame must be at least 1 inch and no more than 3 inches wide

Answers

Answer:

[tex]Domain: \{1 \le x \le 3\}[/tex]

Step-by-step explanation:

Given

See attachment for options

Required

Determine the domain and the range

From the question, we understand that:

[tex]x \ge 1[/tex] --- at least 1 inch

[tex]x \le 3[/tex] --- not more than 3 inches

So, the domain is:

[tex]x \ge 1[/tex] and [tex]x \le 3[/tex]

Rewrite as:

[tex]1 \le x[/tex] and [tex]x \le 3[/tex]

Combine both:

[tex]1 \le x \le 3[/tex]

Hence, the domain is:

[tex]Domain: \{1 \le x \le 3\}[/tex]

There is no available to determine the range.

A general rule is that, substitute the limits of the domain (i.e. 1 and 3) in the function formula, the result is the range of the dataset.

For instance:

[tex]A(x) = 5x[/tex]

We have:

[tex]A(1) = 5*1=5[/tex]

[tex]A(3) = 5*3=15[/tex]

The range will be:

[tex]Range: \{5 \le A(x) \le 15\}[/tex]

cual es el resultado de a+8 =12

Answers

Answer:

a+8=12

a=12-8

a=4 (cuatro)

Step-by-step explanation:

.......................

Identify the net that corresponds to the figure below. A. B. C. D.

Answers

Answer:

The net that corresponds to it is ,B

One evening, Mr. Smith, Sam, and Sydney went to see the Myrtle Beach Pelicans’ Game. They each bought a ticket and a hat that cost $10 each. How much was each ticket to enter the ballpark?

Answers

Answer:

You can't answer this question without knowing the total amount of money they all had in total.

Find the volume of a cylınder whose base is a circle with a diameter of 18 inches.

Answers

Answer:

257.48 inches

Step-by-step explanation:

pi * radius^2 * Hight

find radius by dividing the diameter in half

pi = 3.14

The amount that a craftsman will charge for an item depends on the
amount that he spends on materials, m, and is determined by the
equation a = 2.5 + 2.5m, where a is the amount charged for each
item. What is the value of the dependent variable, if the value of the
independent variable is 3?

Answers

Answer:

$10

Step-by-step explanation:

m is the independent variable, and a the dependent one.

If m = 3, a = 2.5 + 2.5(3) = 10

The craftsman charges $10 when m = 3.

mops and buckets are sold in a shop. 9 mops cost £72. the ratio of the cost of a mop to the cost of a bucket is 4:7. work out the cost of 6 buckets​

Answers

Answer: 52 pound because if it’s 4:7 7 add 4 = 11 divide that by 72 gets you 52

A coin is flipped 160 times. It landed on heads 82 times and tails 78 times. A different coin is flipped 250 times. It landed on heads 115 times and tails 135 times. What is the empirical probability of flipping a heads on the first coin AND flipping a heads on the second coin

Answers

Answer:

a. first coin heads: 82/160

b. second coin heads: 115/250

a AND b: a x b = 82/160 x 115/250

Step-by-step explanation:

if not then im confuzzled

PLZ HELPPPPPPPPPPPPP​

Answers

Answer:

a, d

Step-by-step explanation:

If you place a 32-foot ladder against the top of a building and the bottom of the
ladder is 24 feet from the bottom of the building, how tall is the building? Round to
the nearest tenth of a foot.
Please respond ASAP

Answers

Answer:21.2

Step-by-step explanation:

delta math

please simple answers i had state testing today

Answers

Answer:

The mode is 10. The range is 6. The IQR is 5.

Step-by-step explanation:

please help whoever wins gets brainliest

Answers

Looks like 108 because if we add the missing square the big square would be 12*12 or area equal to 144. We subtract the missing square which is 6 by 6 or 36 area we get 108 ft.
Another way would be cutting it into a rectangle and square.

? Help me plzzz correct answer gets brainliest

Answers

Answer:

B?

Step-by-step explanation:

im s0rry im n0t sure

The radius of a circle is 4 feet. What is the circle's circumference?Use 3.14 for
r=4 ft

Answers

Answer:

50.24 is the circumfrence

If we were to use actual pi the answer would be -

50.26548246

Answer:

25.12

Step-by-step explanation:

2pi4=2*3.14*4=25.12

conviince me for my question (brainliest plzz)

1) Analyze the equation: y = 5x + 10 What is the y-intercept? *
5
-5
10
-10

Answers

Answer:

10

Step-by-step explanation:

Plug in x=0

5(0)+10

0+10=10

Answer:

y=10

Step-by-step explanation:

First, you have to substitute x=0

y=5 x + 10

y=5 x 0 + 10

Solve the equation for y

y=10

HELP ASAP, LINKS AND ABSURD ANSWERS WILL BE REPORTED! I WILL MARK BRAINLIEST!!

Answers

Answer:

1⅕

Step-by-step explanation:

it shows a whole box filled so that means it's a whole

the next box only has one out of five filled so it's ⅕

1⅕

HELP 30 POINTS please in a hurry
Is the relation shown below a function? Use the graph below to justify your response.
(0, 0), (2, 0), (2, 2), and (3, 4)

Answers

To be a function every input value (x) can only have one output value (y)

On the graph there are 2 out put values for x = 2 so it is not a function.

The answer would be C.

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