Dimensional Analysis Method (also called conversion factor or unit analysis) (Appendix D: Dimensional Analysis, Page 397) o The dimensional analysis method uses equivalences written in _____________________ form. o Because the numerator and denominator of the fraction are equivalent, the value of the fraction is __________ o Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label) o In order for units to cancel they must be in _____________________________ of the fraction.

Answers

Answer 1

Answer:

The dimensional analysis method uses equivalences written in fractional form. Because the numerator and denominator of the fraction are equivalent, the value of the fraction is 1. Multiplying by 1 does not change the quantity, but using an equivalence will change the units (or label). In order for units to cancel they must be in the numerator and the denominator of the fraction

Step-by-step explanation:

Dimensional analysis is a method of problem solving that takes into consideration the identity property of multiplication whereby the product of a number and 1 will always give the same number, that is 1 × n = n whereby the value "n" remains the same after the multiplication

Therefore, a fraction of two equivalent measurements but different units has a value of 1, and multiplying the equivalent fraction with another measurement with the same unit as the denominator of the fraction with a value of 1 changes the unit to that of the unit of the numerator


Related Questions

Betty stopped running half of the way through the run.
Desmond stopped running three quarters of the way through the run.
Which of Betty or Desmond ran the furthest distance?
Explain your answer?

Answers

Desmond ran the further distance because Betty ran 2/4 and Desmond ran 3/4

5. Find the measure of the dotted arc.

Answers

Answer:

what arc bro?

Step-by-step explanation:

Answer: 135

Step-by-step explanation:

The two smaller angles are 45, so 45+45= 90 so u subtract 90 from 360. Then u have 270 and u divide tht by 2 and then u have 135 Ans that’s your answer.

Answer this riddle the first write answer gets brainliest

I speak without a mouth i have no ears no body
i come alive with the wind
what am i?

Answers

Answer:

An echo

Step-by-step explanation:

Answer:

You are an echo!

Can Someone Help Me Please​

Answers

Answer:

Step-by-step explanation:

3 2/5=17/5

1 1/10=11/10

now remember if you divide 2 fractions, you will multiply the first with the reciprocal

17/5  x  10/11 =34/11= 3 1/11

Answer: 187/50 or 3.74

Step-by-step explanation: 3 2/5= 17/5  1 1/10= 11/10      17/5 x 11/10= 187/50=3.74

mai biked 6 3/4 miles today and noah biked 4 1/2 miles how many times the length
of noah bike ride mai bike ride

Answers

Answer:

Mai biked 1.5 times more miles than Noah

What is the measure of angle x

Answers

Answer:

x=85 °

x+55+40=180. ( straight line angle)

x=180-95

x=85.

The measure of the angel is 85

There are 8 green tokens in the bag . The ratio of green tokens to black tokens is 4 for every 1 find the number of black tokens in the bag

Answers

Answer:

the  number of black tokens in the bag is 2

Step-by-step explanation:

The computation of the number of black tokens in the bag is as followS

Given that

There is 8 green tokens

and, the ratio of green tokens to black tokens is 4:1

So let us assume the black tokens be x

So,

[tex]\frac{8}{x} = \frac{4}{1}[/tex]

Now do the cross multiplication

x = 2 tokens

Hence, the  number of black tokens in the bag is 2

I WILL PICK BRAINLEIST!!!!!!!!! + 15 points
Rate of change tells how something....
A. constantly changes
B. can be made
C. looks and feels

Answers

Answer:

I’m going to said A

Step-by-step explanation:

how many solutions does this system have

Answers

Answer:

A) exactly one solution

Step-by-step explanation:

if we set the y values equal we would get

-2x-4 = 3x+3

-7= 5x

x=-7/5

Since we get an x value, the answer is that they have exactly one solution.

The real car is 8 feet long and the model is 6 inches long. What is the ratio of the length of the car to the length of the model?

Answers

6 : 8
hope this helps ^^

4x + 8 = 32 i need help btw i am in middle school

Answers

Answer:

x=6

Step-by-step explanation:

to solve this equation, we need to isolate the variable (x).

to do this we must subtract both sides by 8.

doing this we get:

4x=24

now we need to divide both sides by 4:

x=6

that's the answer!

What is a direct variations?

Answers

Answer:

it is the relationship between two variables. In particular, when one variable changes the other changes in proportion to the first.

Step-by-step explanation:

Please help I’m only a smol freshman! Please show work if possible

Answers

Answer:

A van can carry 15 students and a bus can carry 21 students

Step-by-step explanation:

System of Equations

There are separate trips to the water park for which vans and buses were rented. Let's call the variables:

x = number of students that a van can carry

y = number of students that a bus can carry

6 vans and 8 buses were filled with 246 students. This leads to the equation:

6x + 8y = 246

Dividing by 2:

4x + 3y = 123      [1]

4 vans and 8 buses were filled with 228 students. Thus, we form the equation:

4x + 8y = 228     [2]

Subtracting [2] minus [1]:

5y = 228 - 123 = 105

Dividing by 5:

y = 105/5 = 21

y = 21

From [1]:

4x + 3*21 = 123

4x + 63 = 123

Subtracting 63:

4x = 60

Dividing by 4:

x = 60/4 = 15

x = 15

A van can carry 15 students and a bus can carry 21 students

That answer is correct hzjsjdhdhdjjdjdjdjdjdjdjdjjddjddfff

8х + 36°
5х +60°
find the x

Answers

Answer:

x = 8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*x+36-(5*x+60)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  3x - 24  =   3 • (x - 8)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    3   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    x-8 = 0

Add  8  to both sides of the equation :

                     x = 8

One solution was found :

x = 8

The width of a rectangle is 7x-7 feet and the length is 4x+9 feet , what is the perimeter of the rectangle??

Answers

yes that is right 7x-7

what is y = -2x +4, x =3.5​

Answers

Answer:

(3.5, -3)

or

y = -3

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

y = -2x + 4

x = 3.5

Step 2: Evaluate

Substitute in x:                    y = -2(3.5) + 4Multiply:                               y = -7 + 4Add:                                     y = -3

The function f(x) = 2x^2 + 3 represents the rate of a boat traveling with the current in miles per hour.The function g(x) = x+2 represents the time the boat traveled in hours. Solve (f x g) (2), and then interpret the answer (f x g)(2) = 15, the distance in miles the boat traveled

(F times G) (2) = 15, the distance in miles the boat traveled

(F time G) (2) = 15, the number of boats

(F times G) (2) = 44, the distance in miles the boat traveled

(F times G) (2) = 44, the number of boats

Answers

Answer:

Step-by-step explanation:

Answer:

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

Step-by-step explanation:

Average speed = 400 miles per hour

Distance = 400t

t= 5

Total distance = 400t at t hours

Total distance when t = 5 hours

Total distance travelled = 400t

= 400 × 5

= 2,000 miles

Total distance travelled = 2,000 miles

The distance travelled by the B737-400 aircraft in 5 hours is 2,000 miles

use This for your explanation byeeeeeeee

Below are two parallel lines with a third line intersecting them.

Answers

uh yes? what’s the question

Answer:

angle vertically opposite X is also a corresponding angle to the 85 degree angle shown so X = 85 degrees

will give brainliest please answer fast!!
which statement is best supported by the information in the graph?

Answers

Answer:

most likely a icould be wrong but i really do think its a sorry if im wrong

Step-by-step explanation:

Answer: The answer is C.

Step-by-step explanation:

I got it right

NEED HELP!!! 15 POINTS

What is the apparent solution to the system of equations?

y=1/2x+2

y=2x−1

Answers

Answer:

x=1 and y= 1/2

Step-by-step explanation:

x=1 and y= 1/2

if a parallelogram is a square root of 90 and the base is two square root of five what is the height of the parallelogram

Answers

Answer:

c. parallelogram, rectangle, and square

it is not a rhombus for sure... so that ticks

off B and D

its is also a square so that ticks off A

Step-by-step explanation:

HELP PLEASE I WILL GIVE BRAINIEST
Question 2
State the domain and range of the function.

Answers

The domain of a function f(x) is a set of all values for which the function is defined. The range of is a set of all values that f takes.

Howard recorded how much rain fell at his house over four months. The table below shows the amount of rain that fell at Howard's
house each month.

Answers

The answer will be A because you turn them all into decimals!

Answer:

A.

Step-by-step explanation:

$12.99 sweater, 7% tax

Answers

.90 (ninety cents)
basically what you is you multiply the value of the sweater by the percentage of the tax

6) Order from greatest to smallest: V2.1.40.11.14​

Answers

Answer:

2nd first third first 1st last

Step-by-step explanation:

what is the slope-intercept equation of the line below?

Answers

rise over run
10/2 = 5
y=mx+b, b is the y-intercept so it’s -2 and m is the slope so it’s 3

y=3x-2 is the answer

Question 7 of 10
VA
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
be eliminated when you add them?
4x - 2y=7
3x – 3y = 15

Answers

the answer is Subtraction

Answer:

Multiply the top equation by -3 and the bottom equation by 2.

A line segment with length 6cm is dilated by a scale factor of 2/3. What is the length of the dilated segment? I don’t understand

Answers

Answer:

10cm (I think)

Step-by-step explanation:

2/3 = .66666666 x 6 = 4

4 +6 = 10

A square has vertices at (3, 0) and (3, -4). What is the area and perimeter of the square?
*explain how you got your answer pls :)

Answers

Answer:

16u^2 and 16u

Step-by-step explanation:

Hello! :)

Well, the only difference in the two points is from the 0 and the -4. That means the square is 4 units in length and width.

A=B*H=4*4=16 u^2

P=B*4=4*4=16 u

HELP NOW
Gail paid $118.65 for a varsity jacket. The price includes a 5% sales tax.

How much was the jacket before the tax?

Answers

Answer:

$112.75

Step-by-step explanation:

5% of 118.65=5.9

118.65-5.9=112.75

Answer:

124.65

Step-by-step explanation:

the other person subtracted the tax.

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