At 111111:55\text{ p.M.}55 p.M.55, start text, space, p, point, m, point, end text, Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the weight (i.E. The force it applies on the clock's hand to move clockwise) varies in a periodic way that can be modeled by a trigonometric function. The torque peaks 151515 minutes after each whole hour, when the minute hand is pointing directly to the right, at 3\text{ Nm}3 Nm3, start text, space, N, m, end text (Newton metre, the SI unit for torque). The minimum torque of -3\text{ Nm}−3 Nmminus, 3, start text, space, N, m, end text occurs 151515 minutes before each whole hour, when the minute hand is pointing directly to the left.

Answers

Answer 1

The Torque function is T(t) = 3sin((t-5)π/30).

What is Torque?

When an engine exerts itself, torque, which is a twisting force, speaks to the rotational force of the engine and quantifies how much of that twisting force is accessible.

Given:

After 5 minutes Thomas ties it on, the torque is zero and increasing.

So, the sine function is shifted right 5 minutes.

and, The maximum value is 3.

Then, the multiplier of the sine function as the period is 60 minutes

Then, the coefficient of t = (2π/60)

                                         = π/30.

Hence, the Torque function is T(t) = 3sin((t-5)π/30).

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Related Questions

Members at a gym pay $9 per class plus a one-time $120 membership fee. Non-members pay $15 per class. How many classes would a member have to take to save money compared to taking classes as a non-member?

Pls help I have only a few for mins and I need step by step equation :) pls pls pls

Answers

Answer:

the answer is 45 dollars

Step-by-step explanation:

its because:

Answer:

25 dollors hope this helps

Step-by-step explanation:

Name the marked angle in 2 different ways.

Answers

∠HGF ∠EGF

Hope this helps! :)

Solve the equation 5x - 10 = 25
please tell me the working

Answers

Answer:

x = 7

Step-by-step explanation:

5x - 10 = 25

shift -10 to the other side then -10 become plus 10

5x = 25 + 10

now do addition in right hand side

5x = 35

shift 5 to right hand side . 5 divides 35 because in multiplication when u shift number or variables to other side it changes to division)

x = 35/5

x = 7

The solution to the equation 5x - 10 = 25 is x = 7.

To solve the equation 5x - 10 = 25, we want to isolate the variable 'x' on one side of the equation.

First, we can start by getting rid of the constant term on the left side of the equation. We do this by adding 10 to both sides:

5x - 10 + 10 = 25 + 10

This simplifies to:

5x = 35

Next, we want to isolate 'x' by dividing both sides of the equation by the coefficient of 'x', which is 5:

5x/5 = 35/5

This yields:

x = 7

Therefore, the solution to the equation 5x - 10 = 25 is x = 7. We can verify this by substituting x = 7 back into the original equation:

5(7) - 10 = 25

35 - 10 = 25

25 = 25

Since the equation holds true, we can conclude that x = 7 is the solution.

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A regular decagon has a radius of 8 cm.

What is the approximate area of the decagon? Recall that a decagon is a polygon with 10 sides.

188 cm2
198 cm2
304 cm2
375 cm2

Answers

Answer:

188cm^2

Step-by-step explanation:

A regular decagon has ten sides. Therefore, a decagon with radius of 8 cm has an approximate area of 188 cm²

What is a decagon?

A decagon is a polygon with 10 sides.

Therefore, the approximate area of a decagon can be found as follows:

area of decagon =  r²sin(360/n) / 2 × 10

where

r = radius

n = number of sides

Therefore,

r = 8 cm

area of decagon = 8² sin (360/ 10) / 2 (10)

area of decagon = 64 sin 36 / 2 × 10

area of decagon = 64 × 0.58778525229 / 2 × 10

area of decagon = 37.6182561467 / 2 × 10

area of decagon = 18.8091280734 × 10

area of decagon = 188 cm²

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Enter an equation in point-slope form for the line. (4, 4) and (-9, 4) is on the line..​

Answers

Answer:

y=4

Step-by-step explanation:

it's a straight line on y=4

I don't really understand it's due soon can someone please help me​

Answers

Answer:

60

Step-by-step explanation:

Given: 1/2a + 2/3b =50

(Since b is equal to 30 we will automatically replace b with 30)

Step 1: Simplify both sides of the equation.

1/2a+20=50

Step 2: Subtract 20 from both sides.

1/2a=50-20

1/2a=30

Step 3: Multiply both sides by 2.

2(1/2a) 2(30)

a=60

Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?  

Answer:

a = 15

Step-by-step explanation:

1/2(a) + (2/3 x 30) = 50

2/3 x 30 = 20

1/2(a) + 20 = 50

Rearrange > 20 to -20

-20 + 50 = 30

1/2(a) = 30

Rearrange 1/2 to 2

2 > 30/2

30/2 = 15

a = 15

Hope this helps, and please let me know if it is correct or isn't.

Have a nice day

Please solve with explanation

Answers

Answer:

The amount of wood left is 36 9/16 in

Step-by-step explanation:

Here, we want to get the amount of wood left

To calculate this, we have to subtract what is cut and what is wasted from the original total length

So we have what is left as follows;

45 1/2 - 8 7/8 - 1/16

45 1/2 = 91/2

8 7/8 = 71/8

91/2 - 71/8 - 1/16

(728 - 142 - 1)/16

585/16 = 36 9/16 in

What portion of shared $7500 security costs should be apportioned to store A?

Answers

Answer:

3,750

Step-by-step explanation:

2500+1250+625+625=5000

2500/5000=.50 or 50%

7500X.50=3750

Question in attachment. Will give brainliest if correct.

Answers

Answer:

x= 50

Step-by-step explanation:

The angles of a triangle adds up to 180

First we can see R, S, O is equal to S, R, O

We can also see that the angles are equal to N, O, S

So R, S, O and S, R, O are both 65 degrees

Add 65 + 65

= 130

180 - 130 = 50

x= 50

A textbook store sold a combined total of 361 chemistry and biology textbooks in a week the number of chemistry textbooks sold was 45 more than the number of biology textbooks sold.how many textbooks of each type were sold?

Answers

Answer:

Chemistry Books- 203 and Biology Books- 158

Step-by-step explanation:

I'm not sure myself how I did it since I don't have an exact method but I can guarantee that the answer is correct. (Quick sum-up of what I kinda did though. Divide both numbers by 2, then added (22, about half of 45), add 180 (about half of 361) and then subtracted 202 from 361. Realized that it was one off so I just made it 203 and 158)

Sorry for the mess of an explanation but hope it helps!

I hate math, but math "love" me, keep on sticking to me.

Answers

I love math but math hates me

Work out the value of
[tex]2 ^{3}x2 [/tex]

Answers

Answer:

Answer is 12

Step-by-step explanation:

ok 3x2=6 1ñ 2 12

ok 3

I need help please please!!!

Answers

Answer:

y = 91

Step-by-step explanation:

y = 5² + 10(5) + 16

y = 25 + 50 + 16

y = 91

3^8 times 3^2, using properties of exponents

Answers

Answer:

[tex]3^{10}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex] , then

[tex]3^{8}[/tex] × 3² = [tex]3^{(8+2)}[/tex] = [tex]3^{10}[/tex]

Write an algebraic equation to represent the following problem:


Five friends went out to dinner. Each one of them left an $18 dollar tip and they also split the $148 bill evenly. How much did each person pay for dinner?

PLS I NEED THIS!! I'll give brainiest if correct!!!!!!

Answers

Answer:

$47.60

Step-by-step explanation:

[tex]18+\frac{148}{5} =47.60[/tex] ($)

525/4 ÷ 35/4 need the answer quick​

Answers

Answer:

15

Step-by-step explanation:

525/4 ÷ 35/4

=525/4 x 4/35

=525/35

=105/7

=15/1

=15

Joseph has 16 metres of rope. He wants to cut pieces of rope that are 0.2 metres long.

How many pieces can he cut?


Ignore the answer I put

Answers

Answer:

80

Step-by-step explanation:

Given that :

Length of rope = 16 m

Length per Piece of rope to cut = 0.2 m

The number of pieces of rope that can be cut :

Length of rope / length per piece of rope

16 / 0.2

= 80

Hence, 80 pieces of 0.2 m rope will be cut

What is 16/5 inches by 10/4 inches in area

Answers

Answer: 8

Step-by-step explanation:

16/5 x 10/4 = 8

Answer:

Area = 8 inches

Step-by-step explanation:

[tex]\frac{16}{5} *\frac{10}{4} = \frac{160}{20} (Reduce) =8[/tex]

help me out please asap

Answers

Answer:

Step-by-step explanation:

There are 2 repeating digits in .64(with a line over both of those numbers). The value to multiply on to both sides will be 100. To find the fraction that represents the repeating decimal, there are steps to follow. First, make sure the decimal is just before the repeating decimals. It is, so we are good there. Next, move the decimal over how ever many places to get it right after the repeating numbers. That means moving the decimal 2 places to the right. That's the same as multiplying by 100:

100x = 64.6464

What we have now is a system with the equation above and

x = .6464

We subtract them:

100x = 64.6464

-     x =     .6464

to get

99x = 64. Solving for x:

x = 64/99

That's how you change a repeating decimal to a fraction.

Question 1 of 10
What are the solutions of x2 - 5x+7=0 ?

Answers

The answer is the the question is A.

the sum of the 13th square number and the 4th cube number?

Answers

Answer:

13th square number+4th cube number=233

Step-by-step explanation:

[tex]13^{2} +4^{3}[/tex]=233

The value of the sum of the 13th square number and the 4th cube number will be 223.

What is the value of the expression?

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The act of converting a specified statement into an expression or equation is known as a sentence-to-equation transformation.

The sum of the 13th square number and the 4th cube number. Then the numerical expression is given as,

⇒ (13)² + (4)²

Simplify the numerical expression, then we have

⇒ (13)² + (4)³

⇒ 169 + 64

⇒ 223

The value of the sum of the 13th square number and the 4th cube number will be 223.

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Need help!!! Please explain!!!

Answers

g(x) = 4x
h(x) = x + 2

(h(g(x)) = (4x) + 2
= 4x + 2

You’re supposed to substitute the x in h(x) with the function of g(x). I guess you could say you’re putting g(x) in h(x).

A rectangle has a perimeter of `52` cm. Its width is `9` cm.

what is the length of the rectangle

Answers

Answer:

The length is 17 cm.

17+17+9+9 adds up to 52.

The
square below is the image of a square that was dilated by a scale factor of 1. Find
the area of the preimage, the original square, before its dilation. Figures are not
necessarily drawn to scale.
11

Answers

Answer:

I'm not really sure what you're asking because there's no image.

Step-by-step explanation:

please try to reword it and maybe show a picture .

An auditorium with 120 seats begins to fill 20 minutes prior to the start of a lecture. If it fills at a rate of 12 students per minute, what fraction of the seats are empty 12 minutes prior to the start of the lecture.

Answers

Answer:

Ok so there are 120 seats and we know that evrey minute for 8 minute 12 students enter and sit down so we multiple 12 times 8 to get 96.

so 96/120

48/60

24/30

12/15

so the answer is 12/15

Max is painting a fence.The table shows the number of square feet he painted after various numbers of minutes. What is the rate of change?

Amount of Fence Max Painted
Minutes
Square Feet Painted
1
3.5
2
7
3
10.5
4
14
5
17.5
–3.5
–1
1
3.5

Answers

Answer:

3.5

Step-by-step explanation:

-3.5 is the correct answer

add the following decimals​

Answers

Answer:

148.91

Step-by-step explanation:

hope it helps<333

3. Điền tiếp vào dãy số:
a. 0; 1; 4 ;9 ;16 ;25 ;36 ;49 ; …
b. 1; 1; 3; 15; 105; …
c. 0; 100; 6; 94; 12; 88; 18; 82; …….; ……
d. 72496 đối với 1315 62134 đối với 97
85316 đối với 167 28439 đối với ……

Answers

Answer:

D hope this kinda helped:)

Step-by-step explanation:

3x+25=7x URGNET urgenttt

Answers

Answer:

6.25

Step-by-step explanation:

3x+25=7x

3x-7x=-25

-4x=-25

x=6.25

6.25 is the answer.!

find the value of x.

Answers

Answer:

x = 83 degree

Step-by-step explanation:

x + 43 = 126 (sum of two interior opposite angle is equal to the exterior angle formed)

x = 126 - 43

x = 83 degree

Answer:

83 degrees

Step-by-step explanation:

To find this you first find the angle opposite to 126. To do this you subtract 126 from 180 as 180 degrees is a straight line, and we are looking for that missing angle.

This equals 54 degrees.

Now, 54 + 43 equals 97.

Because all interior angles of a triangle always equal 180, you can find that last angle by subtracting 97 from 180. This leaves you with 83 degrees.

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