When we analyze the relationships between different quantities, identify their units of measurement, and convert these quantities for equal comparison, we are using dimensional analysis. Dimensional analysis uses a or conversion factor, to change units of measurement while maintaining the value of the measurement. In a conversion factor, the numerator and equal the same amount, just in different For example, to convert 3 miles into feet, you would 3 miles by a conversion factor created from the units of miles and feet. Because 1 mile equals 5,280 feet, two conversion factors can be created:1 mile or 5,280 feet/1 mileMultiplying any number, such as 3 miles, by either of these does not change the number's over value. To determine which conversion factor we use, we place the unit we do want in the bottom, while we put the unit we want to get rid of on th

Answers

Answer 1

The steps involved in using dimensional analysis for unit conversion is highlighted below :

The question is incomplete, however, from the portion given, we can see that the text is based on using dimensional analysis to convert units of measurement.

We relate our given unit to the desired or expected unit :

From the text:

To convert 3 miles into feets :

The given unit = 3 miles

The expected or desired unit = feets

The relationship between Given and desired unit :

1 mile = 5280 feets

(5280 feets / 1 mile )

With the unit we want or desire placed at the bottom

To convert a given number of miles to feets ;

Multiply the given value by the relation defined :

Hence,

3 miles to feets :

3 miles × (5280 feets / 1 mile)

Miles cancels out

3 × 5280 feets = 15,840 feets

Another example :

Convert ; 10 minutes into seconds :

1 minute = 60 seconds

given unit = minute ; desired unit = seconds

Relationship = (60 seconds / 1 unit)

10 minutes × (60 seconds / 1 minute)

Minute cancels out :

10 × 60 seconds = 600 seconds

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Related Questions

PLEASE EHLP :( IF YOUR GOOD AT MATH the picture is attached below
In the diagram below DE is parallel to XY what is the value of x?

Answers

Hey there! Here's your answer!

D.) 85

Here's why:

The two angles are alternate interior angles, which are congruent because DE and XY are parallel lines.

I really hope this helps you! :)

Write an equation of the line that passes through the points (5, -1) (-5, 5)

Answers

That’s the answer find the slope of the points first and sub the point in the equation y-y1=slope(x-x1)

cual resultado es 25/100x48

Answers

Answer:

12

Step-by-step explanation:

Use a fraction calculator

Given f(x) = x2 − 4x + 3 and g(x) = −x − 6, identify f(g(−2)).
a. 35
b. 99
c. 143
d. 32

Answers

Answer:

The choose a.35

[tex]g( - 2) = - ( - 2) - 6 = 2 - 6 = - 4[/tex]

[tex]f(g( - 2)) = {( - 4)}^{2} - 4( - 4) + 3 \\ = 16 + 16 + 3 \\ = 35[/tex]

I hope I helped you^_^

WILL MARK BRAINIEST
Zach and Ginny are building model cars. Ginny's car is 2 more than 3 times the length of Zach's car. The sum of the lengths of both cars is 30 inches. Write an equation to determine the lengths of Zach's and Ginny's cars.
3x + 2 = 30
x + 2 + 3x = 30
2x + 3 = 30
x + 2x + 3 = 30

Answers

Answer:

x + 2 + 3x = 30

Step-by-step explanation:

Both lengths are unknown, but Ginny's car length is described in terms of Zach's car length, so we choose a variable for Zach's car length.

Let x = Zach's car length.

Zach's car length is x.

"Ginny's car is 2 more than 3 times the length of Zach's car."

Ginny's car length is 2 + 3x.

Add the lengths:

x + 2 + 3x

"The sum of the lengths of both cars is 30 inches."

x + 2 + 3x = 30

Answer: x + 2 + 3x = 30

square root of negative radical

Answers

Answer:

Is negative -3 by 4

Step-by-step explanation:

mark me brainliest ❤❤

Answer:

The square root of a negative number does not exist among the set of Real Numbers. ... The imaginary number "i" is the square root of negative one. An imaginary number possesses the unique property that when squared, the result is negative.

HOPE THIS HELPS YOU......

why do you multply by a power of 10 when writing a repeating decimal as a fraction

Answers

The goal is to multiply by a certain number (10, 100, 1000, etc.) so that when the original number is subtracted from the multiple, the repeating element cancels out. 10x = 2 is the result of multiplying by ten.

128 is 74% of what number , rounded to the nearest hundredth

Answers

Answer:

172.97

Step-by-step explanation:

128÷74%=1.7297297297297

There is rounded to the nearest hundredth so the answer is 172.97

Help with these answers please

Answers

Step-by-step explanation:

just try, donot know it will be right or wrong...

The diver spots a whale. The diver is halfway between the ship and the whale. What are the coordinates of the whale?​

Answers

The coordinates are 48, 37 I believe image is blurry


What is the y-intercept of 6x - 4y = 12?

Answers

Answer:

(0,-3)

Step-by-step explanation:

I used desmos

Answer:

y int = -3

Step-by-step explanation:

we get the y int when x = 0. so 6(0)-4y=12 would get us y= -3

Mike is playing air hockey and wants to bounce the puck off the wall and into the goal at G (3,10).if the puck is at P (2,3) what point on the right wall (x=6) should aim for?

Answers

simplify it (4,5) is the answer no it’s not

evaluate 4a3 + 5b4 when a=2 and b=5​

Answers

Answer:

[tex]4 {a}^{3} + 5 {b}^{4} = 4( {2}^{3}) + 5( {5}^{4} ) \\ = 4(8) + 5(625) \\ = 32 + 3125 \\ = 3157[/tex]

I hope I helped you^_^

Determine the value of each of the following expressions.
a.
32
×
21

b.
30
,
000
÷
10

c.
478
+
593

d.
101

68

Answers

Answer:

a=672

b=3,000

c=1,071

d=33

Which sentence demonstrates the multiplicative identity?

1/2 · 1 = 1/2
1/2 · 2 = 1
1/2 + 0 = 1/2 ·

Answers

Answer:

1/2*1 =1/2

Step-by-step explanation:

because they both give the same value

for example a*b=b*a

Answer:

[tex]multiplicative \: identity \\ a \times b = b \times a \\ it \: is \: 1 \: in \: general \\ \\ so \: here \frac{1}{2} \times 1 = \frac{1}{2} \\ thank \: you[/tex]

solve x where 5x=15 ?

Answers

Answer:

3

Step-by-step explanation:

5x3 is 15

Round 27,850 to the nearest ten thousand.

Answers

The answer will be 30,000.

23° is equal to
23
O1
23

Answers

Answer:

Hi, there!

23

Step-by-step explanation:

The value of (23) is equal to twenty three.

23

I hope it's helps you

Step by step explanation


Mary is n years old. How old will she be in 8 years? How old was she 6 years ago?
In 8 years, Mary will be years old.

Answers

Answer:

Ur question are not logic i think u made some mistakes

I need help for geomotry!

Answers

Answer:

[tex]y = \frac{ - 3}{4} x + 7[/tex]

PLEASE HELP ASAP!!

In below diagram line AB is parallel to CB. i.e. AB || CD
EGB = 57°
Find EHD.

Answers

Answer:

57

Step-by-step explanation:

EGB and EHD are the same angles.

Answer:

m∠EHD = 57°

Step-by-step explanation:

∠EGB and ∠EHD are corresponding angles. Therefore, they are congruent.

could someone help me with this

Answers

Answer:

20

Step-by-step explanation:

step 1

Open the parentheses 2 minuses equals one positive. So we now have -1+5

-1 +5 = 4. 3+2 =5, 4 * 5 = 20

 

2 25 divided by 11 10 in fraction

Answers

Answer:

[tex] \frac{4}{55} [/tex]

Step-by-step explanation:

[tex] \frac{2}{25} \div \frac{11}{10} [/tex]

[tex] \frac{2}{25} \times \frac{10}{11} [/tex]

[tex] \frac{2}{5} \times \frac{2}{11} = \frac{2 \times 2}{5 \times 11} [/tex]

[tex] \frac{4}{5 \times 11}[/tex]

[tex] = \frac{4}{55} [/tex]

The given information is,

→ (2/25) ÷ (11/10) = ?

Let's find the required solution,

→ (2/25) ÷ (11/10)

→ (2/25) × (10/11)

→ 20/275

→ 4/55 {simplest form}

Hence, 4/55 is the answer.

Karim is ordering video games. Each game costs 39.99$, and there is a 4.85$ shipping charge per order. How much will it cost him to order any number of video games?

Answers

Answer:

Each game would be 44.84 per order, so 2 games would be 89.68 and so forth.

Step-by-step explanation:

Take 39.99 and add 4.85 and that gives you the total for 1 game per order.

Somebody help me?
I’ve been stuck on the same question for days now

Answers

Answer:

7

Step-by-step explanation:

You've said that both triangle are equal.

This means, both are in proportion

Let the unknown side be x

4 : 5 : x = 36 : 45 : 63

Divide LHS by 9

4 : 5 : x = 4 : 5 : 7

Since you may see x and 7 are same. So, the missing side is 7.

Answer:

Step-by-step explanation:

[tex]\frac{AB}{PQ} = \frac{BC}{QR}[/tex]                      #1 Find same sides  

So, [tex]\frac{4}{36} =\frac{BC}{63}[/tex]                 #2 fill it in.

36BC= 252                 #3 Cross multiply.

[tex]\frac{36BC}{36}[/tex]= [tex]\frac{252}{36}[/tex]                      #4 Divide by 36

BC= 7                           #5 Here's your answer!

If you want to check, plug the sides in.

[tex]\frac{4}{36} =\frac{5}{45} =\frac{7}{36}[/tex]

[tex]\frac{1}{9} =\frac{1}{9} =\frac{1}{9}[/tex]

The siplified fractions should all equal the same number. If they do, the triangles are similar.

Hope this helps!

Plz mark me the Brainliest!

Good Luck!

work out b(4½-3⅔)+1⅔​

Answers

Answer:

2 [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Change the mixed numbers to improper fractions

([tex]\frac{9}{2}[/tex] - [tex]\frac{11}{3}[/tex] ) + [tex]\frac{5}{3}[/tex] ← the LCM of 2 and 3 is 6

= [tex]\frac{9(3)}{2(3)}[/tex] - [tex]\frac{11(2)}{3(2)}[/tex] + [tex]\frac{5(2)}{3(2)}[/tex]

= [tex]\frac{27}{6}[/tex] - [tex]\frac{22}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{5}{6}[/tex] + [tex]\frac{10}{6}[/tex]

= [tex]\frac{15}{6}[/tex]

= [tex]\frac{5}{2}[/tex]

= 2 [tex]\frac{1}{2}[/tex]

Simplify the radical
[tex] - 2 \sqrt{54} [/tex]
please explain process!​

Answers

Answer:

Step-by-step explanation:

54 = 6*9

That means there are 3 threes and 1 two

54 = 2*3 * 3 * 3

There are a pair of 3s and a two and a 3 left over.

The two and the three remain under the root sigh.

One of the pair of threes comes out of the root sign.

The other one is thrown away.

sqrt(54) = 3*sqrt(6)

Answer: -2*3 sqrt6)

Answer: - 6 sqrt(6)

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Simplify [tex]\sf \: - 2 \sqrt { 54 }[/tex]

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

[tex] \sf \: - 2 \sqrt { 54 }[/tex]

Factor [tex]\sf54=3^{2}\times 6[/tex]. Rewrite the square root of the product [tex]\sf\sqrt{3^{2}\times 6} [/tex] as the product of square roots [tex]\sf \sqrt{3^{2}}\sqrt{6}[/tex]. Take the square root of [tex]\sf3^{2}[/tex].

[tex] \sf-2\times 3\sqrt{6} [/tex]

Multiply -2 and 3 to get -6.

[tex] \boxed{ \boxed{ \bf-6\sqrt{6} }}[/tex]

The answer will be [tex]\boxed{\sf-6\sqrt{6} }[/tex]. If you want you can further simplify it to - 14.696..

How many possible ways are there to rearrange the letters in the word JUMP? Remember the arrangements do
not have to spell real words.

Answers

There are 4 letters, so when you’re creating a new combination you have 4 spots to fill:
__ __ __ __

You have a choice of 4 letters for the first spot.
Once that’s filled, you had a choice of 3 reminding letters for the second spot,.
Now you have a choice of 2 letters for the third spot.
Once the first three spots are filled, you’re left with only one choice for the last spot.

This means you have 4x3x2x1 possible ways to arrange those letters.

7. Which of the following is not a rational number? O V100 3 o 00w 8 O 0 -0.135​

Answers

Answer:

i think 00w 8 (the picture shows question six not seven.)

Step-by-step explanation:

pew pew

Can SOMEONE PLEASE HELP ME I NEED HELP!!! Please I don’t get it!!!

Answers

Answer:

x = 6, BC = 60

Step-by-step explanation:

6x + 2x + 1 = 81

8x + 1 = 81

8x (+ 1 - 1) = 81 - 1

8x = 80

8x/8 = 80/8

x = 10

6x

6(10) = 60

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