(b) A distance is related to time according to the expression x = A sin(2πft), where A and f are constants. Find the dimensions of A. Again, "L" is the length dimension and "T" is the time dimension. [Hint: A trigonometric function appearing in an equation must be dimensionless.]

Answers

Answer 1

Answer:

A is in  length dimensions

Step-by-step explanation:

The expression:

x  =  A sin (2πft)

has in the second member two factors   A   and sin (2πft); a sine is a relation between two sides with the same dimension that means a sine is a number ( with minimum and maximum values of 0 for zero degrees and 1 for 90 degrees ). As t is in units of time ( seconds, minutes or hours) frequency "f", which is the number of cycles per unit of time       ( seconds, minutes or hours), t  and f should be both in the same unit, in order to get just a number for sin2πf.

Therefore A should be in units of length and x will get its units from A

For instance

x = A sin(2πft)  

t in seconds          f  in 1/seconds        A in meters

By substitution, we can see that

x[ m ]  = A [m] * sin[ 2π*sec* 1/sec ]

x[ m ]  = A [m] * number


Related Questions

What is the surface area of a cube with a side length of > ? inche ?

Answers

Greetings from Brasil...

The area of a square is given by the expression: A = L²  (where L is the side length)

A cube has 6 sides and each side is a square. So the surface area of a cube will be 6x the area of a square of this cube.

Acube = 6L²

Examine the graph. Which statements are true about the function represented by the graph? Select all that apply.
The function decreases between −∞ and 0.
The function increases between −1 and ∞.
The function increases between −∞ and −1.
The function increases between −10 and ∞.
The function decreases between −∞ and −1.

Answers

Answer:

2 & 5 statement

Step-by-step explanation:

for this, you would need to look at the x values. statement 2 says the function is increasing between -1 and ∞. look at the graph and you can see that -1 to ∞ is increasing. same thing with -∞ and -1. the function decreases.

hope this helped :)

28. Simplify the following expression: 10 (2 + 3) - 8x3
D a) 126
Ob) 74
d) 18
c) 26

Answers

Answer:

C) 26

Step-by-step explanation:

10 (2 + 3) - 8x3=10 (5) - (8x3) =50 - 24=26

Which pair of functions represents a decomposition of f(g(x)) = | 2(x + 1)^2 + (x + 1) | ?
A) f(x) = (x + 1)^2 and g(x) = | 2x + 1 |
B) f(x) = (x + 1) and g(x) = | 2x^2 + x |
C) f(x) = | 2x + 1 | and g(x) = (x + 1)^2
D) f(x) = | 2x^2 + x | and g(x) = (x + 1)

Answers

Answer:

[tex]\Large \boxed{\mathrm{\bold{D.}} \ f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)}[/tex]

Step-by-step explanation:

[tex]f(g(x)) = | 2(x + 1)^2 + (x + 1) |[/tex]

The first option :

[tex]f(x) = (x + 1)^2 \ \mathrm{and} \ g(x) = | 2x + 1 |[/tex]

[tex]f(g(x))=(|2x+1|+1)^2[/tex]

The second option :

[tex]f(x) = (x + 1) \ \mathrm{and} \ g(x) = | 2x^2 + x |[/tex]

[tex]f(g(x))=(|2x^2 +x|+1)[/tex]

The third option :

[tex]f(x) = | 2x + 1 | \ \mathrm{and} \ g(x) = (x + 1)^2[/tex]

[tex]f(g(x))=|2(x+1)^2 +1 |[/tex]

The fourth option :

[tex]f(x) = | 2x^2 + x | \ \mathrm{and} \ g(x) = (x + 1)[/tex]

[tex]f(g(x))= | 2(x + 1)^2 + (x + 1) |[/tex]

Answer:

D

Step-by-step explanation:

Jim scored 23 points the first basketball game and scores 25 points per game(x) after the first. 73 +25Y​

Answers

Answer: 1

Step-by-step explanation:

25+23=48

48=73+25Y

-73        = -25

divide = 1

Evaluate
5/8 - (1/4)​

Answers

Answer:

3/8

Step-by-step explanation:

1. Find the LCM for the denominator: 5/8-2/8

2. subtract the numerator: 3/8

Answer:

The answer is 3/5

Step-by-step explanation:

You have to find the LCM

Then you have to subtract the numerator.

Jocelyn makes x dollars per hour working at the grocery store and n dollars per hour babysitting. A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours. 25n+15x B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.

Answers

Answer:

A. 25n + 15x

B. $358.75

Step-by-step explanation:

Jocelyn earns

Grocery store= $x per hour

Babysitting= $n per hour

A. Write an expression that describes her earnings if she babysat for 25 hours and worked at the grocery store for 15 hours.

The expression is:

25n + 15x

B. How much money did she earn if she charged $10 an hour for babysitting and earned $7.25 an hour at the grocery store.

25n + 15x

When n= $10 and x= $7.25

25n + 15x

= 25(10) + 15(7.25)

= 250 + 108.75

= $358.75

Therefore, if Jocelyn earns $10 per hour for babysitting and babysat for 25 hours, and earn $7.5 per hour at the grocery store and works for 15 hours.

Her total earnings will be $358.75

2(b-3)=
help me i need this done in 20 minutes

Answers

Answer: 2b + -6

Step-by-step explanation: To simplify, we will use the distributive property.

Before distributing, I would change the -3 to plus a negative 3.

So we have 2(b + -3).

Now, distributing the 2 through the parenthses, we have 2(b) + 2(-3).

2(b) is 2b and 2(-3) is -6.

So we have 2b + -6 as our final answer.

Answer:

2b - 6

Step-by-step explanation:

2(b-3)=

Distribute

2*b - 2*3

2b - 6

(-7)(-9)=
please help i thought it was -63

Answers

It’s 63 not -63 negative x negative is positive like if you hate to hate you love which is positive

Answer:

The answer is not -63 but 63

Step-by-step explanation:

You multiply -7 by -9 and that equals 63. For when you multiply two negative numbers by each other it makes a positive number because the two negative numbers are canceled out:)

I rly hope this helped. Can I plz get brainliest?

Amy was looking at a table of conversions from meters to kilometers. The table showed that 2 kilometers are equivalent to 2,000 meters, How can she determine how many kilometers are equivalent to 8,000 meters? Explain.​

Answers

Answer:

The answer is in the question! If 2km = 2000m then 8km = 8000m

Step-by-step explanation:

Answer:

Sample Response: Amy can multiply 2 by 4, because the number of meters was multiplied by 4 to get 8,000 meters. 1 kilometer is a 1,000 times bigger than 1 meter. She could also divide 8,000 by 1,000 to get 8 kilometers.

Step-by-step explanation:

it was on edg and it said this was correct ↑↑

                                                      hope it help :b

Find all numbers c [4,12] for which the derivative is equal to the slope of the secant line connecting the function endpoints. If there is more than one such number c, use a comma to separate your answers. Round to the nearest thousandth. If there is no such number c, type "does not exist" in the entry box.

Answers

Answer:

Step-by-step explanation:

[tex]f'(x) =\frac{1}{2\sqrt{x-3}}[/tex]

By MVT, there exist a number c on [4, 12] such that

[tex]f'(c) = \frac{f(12)-f(4)}{12-4}[/tex]

[tex]f(12) = 3, and, f(4) = 1, hence f'(c) = \frac{1}{4}[/tex]

therefore,

[tex]\frac{1}{2\sqrt{x-3}} = \frac{1}{4}[/tex]

Solve this equation, you have x =1.

However, this is out of the given interval. Hence does not exist

The fastest NASCAR qualifying speed is 313 feet per second. How many miles per hour is that?

Answers

Answer:

213.41 mph.

Step-by-step explanation:

Multiply by 3600 ( seconds in an hour) and divide by 5280 (feet in a mile).

= 213.41 mph.

A 16-ounce bottle of shampoo costs $4.69. What is the price per ounce, rounded to the nearest cent? $0.29 $0.34 $2.93 $3.41

Answers

Answer: Choice A) 0.29 dollars

Work Shown:

16 ounces = 4.69 dollars

16/16 ounces = 4.69/16 dollars .... divide both sides by 16

1 ounce = 0.293125 dollars

1 ounce = 0.29 dollars .... rounding to the nearest cent

Answer:

A i got it right in edge

Step-by-step explanation:

Somebody help me solve what is in the image

Answers

Answer:

√2 is approximately 1.4.

Step-by-step explanation:

Part E:

1.3 squared is 1.69.

1.4 squared is 1.96.

1.5 squared is 2.25.

√2 is not between 1.3 and 1.4 because 1.4 squared only reaches up to 1.96 and not 2.

√2 is between 1.4 and 1.5 because 1.4 squared is 1.96 while 1.5 squared is 2.25. The √2 will be somewhere between 1.4 between 1.5.

2 is closer to 1.96 (0.04 units) than 2.25 (0.25 units). Thus, √2 is approximately 1.4.

Graph the following function by hand by completing the table
g(x) = (x - 5)² – 3


Answers

We know that y - x^2 is a parabola with a vertex at (0, 0).

So if we move it 5 units to the right and 3 units down, the vertex is at (5, -3).

Since it gives you a chart, you can plug in values for x and solve for g(x), and you will eventually get a graph that looks like a parabola with vertex at (5, -3).

Which of these expressions is equivalent to 8p3 + 27?
A.(2p - 3)(4p2 + 6p + 9)
B.(2p + 3)(4p2 – 6p + 9)
C.(2p + 3)(4p2 + 6p + 9)
D.(2p - 3)(4p2 – 6p + 9)

Answers

Answer:

Hey there!

(2p - 3)(4p2 + 6p + 9) is equal to 8p^3+27. This is just a sum of cubes!

Let me know if this helps :)

Answer is A. Use the rainbow method. That’s what I did.

You start at (4, -3). You move right 1 unit and left 3 units. Where do you end ?

Answers

Answer:

(2, -3)

Step-by-step explanation:

Moving right increases the x-coordinate so after moving 1 unit to the right, we will be at (4 + 1, -3) = (5, -3). Moving left decreases the x-coordinate so after moving 3 units to the left, we will be at (5 - 3, -3) = (2, -3).

PLS HELP
Which of the following is a true statement regarding the quadratic formula form of the solutions to a quadratic​ equation?

The solutions x=4±85√2 must be left in exact form.

The solutions x=4±85√2 are in simplest form.

The solutions x=4±85√2 can be simplified to x=2±45√.

The solutions x=4±85√2 can be simplified to x=2±85√.

Answers

Answer:

The solutions x=4±85√2 must be left in exact form.

Step-by-step explanation:

The quadratic formula -b ±√b^2- 4ac/2a will always give us solutions in the form; m±n√q, where m,n and q are integers.

These solutions must always be presented in its exact form, that is, with the square roots in it. Hence the solutions x=4±85√2 are in its exact form.

A cylinder with the base radius of 8cm and has a height 12cm.Calculate to four significant figure. i.the curved surface area. ii.total surface area. iii.surface area of the cylinder when opened at one end. Take π =3.142.

Answers

Answer:

Curved surface area = [tex]603.3 {cm}^{2} [/tex]Total surface area= [tex]1005 {cm}^{2} [/tex]Surface area (opened at one end)=[tex]804.4 {cm}^{2} [/tex]

find the mean deviation of 1,2,3 and 4​

Answers

1st, find the mean of all values. 1+2+3+4=10 10/4=2.5 The mean is 2.5.
2nd, find the distance of each value from the mean. So 2.5-1=1.5; the distance between 1 and 2.5 is 1.5. Repeat it for all of them, and you get 1.5, .5, .5, and 1.5.
3rd, you take each distance and find the mean. 1.5+.5+.5+1.5=4 4/4=1 The mean deviation is 1.

Why is the product of a rational number and an irrational number irrational?

Answers

Answer:

Step-by-step explanation:

When you multiply and irrational by a rational, you are doing nothing to change the nature of an irrational number. The two numbers have different kinds of properties and though a multiplication can be indicated, there is no way you can change the properties of an irrational number with a rational.

Their properties just do not mix.

It is like take a solvent and mixing it with something that is not a solvent. You cannot do anything to anything to the insolvent to make it solvent simply by adding more. Their properties remain in tact.

Take 3 * 4√7

The properties of the 3 and 4 remain the same when multiplied and they can be combined. 3*4 = 12

But nothing can be done with √7. The 3 cannot effect it, anymore than what the 4 did.

Answer:

A. because the product is always a non-terminating, non-repeating decimal.

AB has endpoints A(1, -3) and B(-4, 4). Find AB to the nearest tenth.

Answers

Answer:

2w78e56

Step-by-step explanation:

(BRAINLIEST QUESTION)

Which of the following is a complex number where a ≠ 0 and b ≠ 0? A -7 B Pi C 4 + 9i D 2+√3

Answers

Answer:

C 4 + 9i

Step-by-step explanation:

A complex number is of the form

a+bi where a is the real part and b is the imaginary part

4 + 9i

What is the value of 15 - 8 ÷ 4 x 3 + 6? A) 6 B) 55 C) 3 D) 15

Answers

Answer:

D

Step-by-step explanation:

Answer:

15 thus D) is the answer

Step-by-step explanation:

Simplify the following:

15 - 8/4×3 + 6

The gcd of 8 and 4 is 4, so 8/4 = (4×2)/(4×1) = 4/4×2 = 2:

15 - 2×3 + 6

-2×3 = -6:

15 + -6 + 6

| 1 |  

| 1 | 5

+ | | 6

| 2 | 1:

21 - 6

| 1 | 11

| 2 | 1

- | | 6

| 1 | 5:

Answer: 15

What is the greatest common factor of the polynomial below?
8x2 - 4x
O A. 4x
O B. 2x
O C. 2x2
O D. 4x2

Answers

Answer:

Step-by-step explanation:

8x^2 - 4x

4x(2x - 1)

GCF is 4x

Hi. i was scrolling through some old notes and I'm kinda stuck with this one .
Please help me.
Workings Please
Find the perimeter of the diagram.​

Answers

Answer:

D. 52cm

Step-by-step explanation:

The perimeter of a shape is the sum of all its sides.

Not all of the sides are labelled in the diagram. We are missing two sides which I labelled "x" and "y" in the photo below.

We assume all sides are either parallel or perpendicular to each other since they look mostly "straight".

Find the length of the side x:

This side is like the 14cm side, except it's shorter by 3cm at the top and 3cm at the bottom.

x = 14cm - 3cm - 3cm

x = 8cm

Find the length of the side y:

This side is the same length as the 7cm side already labelled at the top.

y = 7cm

Find the perimeter:

Add all of the sides together.

P = 14cm + 7cm + 7cm + 3cm + 3cm + 5cm + 5cm + 8cm

If you want, you can simplify to this equation since some numbers are repeated.

P = [ 2(7 + 3 + 5) + 14 + 8 ] cm

Either way, you get the same answer.

P = 52 cm

There are 1,000 meters in 1 kilometer. Convert 5,000 meters to kilometers.
A) 0.5 km
Eliminate
B) 5 km
C) 50 km
D) 500 km

Answers

Answer:

B) 5 km

Step-by-step explanation:

There are 1,000 m in 1 km, so x km=5000m

Set up a proportion:

[tex]\frac{1000m}{1km}=\frac{5000m}{x km}[/tex]

Cross multiply and solve for "x":

(1000 m)(x km)=(5000 m)(1 km)

1000x=5000

(1000x/1000)=5000/1000

x=5 km

Point F' corresponds to point D. point E'. point F. point E.

Answers

Answer:

  F' corresponds to point F

Step-by-step explanation:

When a point is the result of some transformation, we often designate that result using the base name of the original, with a prime (') added. In this case, we expect that F' is the transformation of point F.

__

Comment on point naming

Of course, points can be given any name you like. These conventions are adopted to aid in communication about transformations and correspondence between points. It would be unusual--even confusing, but not unreasonable, for point F' to correspond to point D, for example. In the case of certain transformations, point F' may actually be point D.

Answer:

C

Step-by-step explanation:

Point F.

How many positive integers less than 100 have a remainder of 3
when divided by 7?
a) 18
b) 13 c) 14 d) 12

Answers

Answer:

13

Step-by-step explanation:

We can write the following inequality to find the answer:

7x + 3 < 100 (where x is our answer and x is an integer)

7x < 97

x < 13.86

The largest integer value of x that satisfies this inequality is x = 13 so we know that our answer will be 13.

If anyone’s good with geometry, help me out please. I would really appreciate it.

Answers

Answer: X=2, PR=40

Step-by-step explanation:

given that the two triangles are equal/congruent

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

solve for x

10x+5=25

10x=20

x=2

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

solve for y

33=7y-2

35=7y

y=5

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

solve for PR

PR=8y

PR=8(5)

PR=40

Hope this helps!! :)

Other Questions
3/4 + (1/3 1/6) - (1/2) = What factors made the Mespotamian civilization stand out from other civilizations? What is the correct tool to measure the volume of a cardboard box? A) Balance B)Metric ruler C)graduated cylinder D)thermometernever mind i got it The Vast Majority of all stars in the universe belong to which group?A. White DwarfsB. Red GiantsC. Main SequenceD. Supergiants 5 times the sum of the digits of a two digit number is 9 less than the number formed by reversing its digits. If 4 times the value of the digit at ones place is equal to the half of the place value of the digit at tens place, find out the number. Most organizations with strong cultures and a sound system of rewards and incentives can eventually internalize boundaries rather than use explicit rules and regulations. What is the technique for moving in that direction? In the 20 th Century which two countries attempted to invade Russia from the west? Why were they unsuccessful? Please help Show that the inverse of a linear function y=mx+b, where m0 and xb, is also a linear function Determine the equation of the line shown in the graph: 3O POINTS PLS HELP ASAP! graph of a vertical line with an x intercept of negative 1 y = 1 y = 0 x = 1 x = 0 Suzy and Joe are trying to solve the problem2^22^3x2^4 Suzy gets 2^9, while Joe gets2^24. Decide who solved the equation correctly and why.Group of answer choicesJoe because when you multiply the exponents, you are finding the sum of the exponents.Joe because when you multiply the exponents, you are finding the product of the exponents.Suzy because when you multiply the exponents, you are finding the sum of the exponents.Suzy because when you multiply the exponents, you are finding the product of the exponents. In the following figure, OQ and OR are internal bisectors of ZQand ZR, respectively, then prove that ZQOR = 90 +- ZP.12R. A total solar eclipse in 2003 lasted minutes and was viewed from the southern hemisphere. The next total solar eclipse in 2005 lasted minutes and was viewed from the northern hemisphere. How much longer was the 2003 solar eclipse? Make a square measuring 5ft x 5ft. Count the number of people that can comfortably fit into the square. Find the ratio of the number of people in the square to the area of the square. What does this ratio mean? In crossroads a sad vaudeville, the flag and primary purpose in the play is to In the language of global marketing, ________ is the phrase used to describe advertising that represents a middle ground between 100% standardization and 100% localization. Meenach Corporation uses a job-order costing system with a single plantwide predetermined overhead rate based on direct labor-hours. The company based its predetermined overhead rate for the current year on 66,000 direct labor-hours, total fixed manufacturing overhead cost of $99,000, and a variable manufacturing overhead rate of $4.50 per direct labor-hour. Recently Job X387 was completed and required 220 direct labor-hours.Required: Calculate the amount of overhead applied to Job X387. (Do not round intermediate calculations.) Why should programmers use a Post Mortem Review? Basic activities in every accounting department, including sales order processing, accounts receivable, inventory and purchasing, accounts payable, and payroll, are recorded in the _______. Lifelong learning describes the time it takes an individual to complete a college degree. The kilogram is the SI unit for mass