The ideal length of a particular metal rod is 25.5 cm. The measured
length may vary from the ideal length by at most 0.025 cm. Find the
range of acceptable lengths for the rod.

Answers

Answer 1

Answer:

Option: D is the correct answer.

D) 20.455 <= X <= 20.545

Step-by-step explanation:

We are given The ideal length of a particular metal rod is 20.5 cm.

It is given that:

The measured length may vary from the ideal length by at most 0.045 cm.

By atmost we mean either less than or equal to that amount but not more than that.

It means that:

|X-20.5|≤ 0.045

⇒  -0.045  ≤ X-20.5 ≤ 0.045

⇒    -0.045+20.5 ≤ X ≤ 20+0.045

⇒   20.455 ≤ X ≤ 20.545.

Hope this helped! <3


Related Questions

LOOK AT THE IMAGE ABOVE AND SOLVE IT FOR TWO DIFFERENT WAYS!! Please help its due today!

Answers

Answer:

Step-by-step explanation:

Ist method - Area of the triangle + Area of the  trapezium

Area of triangle = 1/2 × b × h

here, b = 8 cm but h is not given

so we will find h by pythagoras theorem

AC^2 = AB^2 + BC^2

10^2 = 8^2 + BC^2

100 = 64 + BC^2

BC^2 = 36

BC = √36

BC = 6

∴ h = 6cm

area of triangle = 1/2 × b × h

= 1/2 × 8 × 6

= 24 cm^2

Area of trapezium = 1/2 ( a + b ) h

Here a = 13cm

         b = 25 - 8 = 17 cm

         h = 6 cm

So area = 1/2 ( a + b ) h

= 1/2 ( 13 + 17 ) 6

= 90 cm^2

So total area =  Area of the triangle + Area of the  trapezium

= 24 cm^2 + 90 cm^2 = 114 cm^2

2nd method - Area of the entire figure

Since the figure is a trapezium,

Area of trapezium = 1/2 ( a + b ) h

here, a = 13cm

        b = 25 cm

        h = 6 cm

Area of trapezium = 1/2 ( a + b ) h

= 1/2 ( 13 + 25 ) 6

= 114 cm^2

Hope this helps

plz mark as brainliest!!!!!!!!!!

answer:

not a very clear diagram sorry luv but i just cant really see the question  <3

step-by-step explanation:

Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengths of the pool, she had covered one quarter of her intended distance. How many lengths of the pool did she intend to complete?

Answers

Answer:

E. 120

Step-by-step explanation:

A. 40

B. 72

C. 80

D. 100

E. 120

Let

x = the intended distance

y = length of the pool

She covers one fifth of her intended distance

Distance covered = 1/5 of x

= x/5

After swimming six more lengths of the pool she had covered one quarter of her intended distance

x/5 + 6y = 1/4 of x

x/5 + 6y = x/4

Collect like terms

6y = x/4 - x/5

6y = 5x - 4x/20

6y = x/20

x = 20 * 6y

= 120y

x = 120y

The intended distance Rebecca wants to cover = 120

Solve the inequality:


2x−9≥17

Select one:

x≤13

x≥3

x≤3

x≥13

Answers

Answer:

x≥13

Step-by-step explanation:

add 9 to both sides

2x≥26

divide both sides by 2

x≥13

1.

p: you pass the class

q: you go to the next grade

p -> ~q:_______________________________



~p->~q:_______________________________

Answers

Answer:

P is you pass the class, so it's the hypothesis in the conditional. And Q is the conclusion, which ic you got to the next grade.

Step-by-step explanation:

In order to got to the next grade, you need to pass the class.

or

If you pass the class, you go to the next grade.

DUE 10 MIN PLEASE HELP
show work

Answers

Answer:

10

Step-by-step explanation:

Which of the following equations demonstrate the multiplication property of equality for the equation x = 2? Check al
that apply.
x(3) = 2(4)
x(5) = 10
11.5) = 2(2)
x(0.5) = 2(0.5)
x(12) = 12

Answers

Answer:

the 2nd and 4th i think

Step-by-step explanation:

Hi!
I’m pretty sure the answer would be
x(5) =10.

What is the measure of angle F?

A. Cannot be determined
B. 65°
C. 55°
D. 75°

Answers

Answer:

65 degrees since both opposite sides are 10

Answer:

65 degrees

Step-by-step explanation:

Just took the test

Jill jumped 6 1 3feet in the long-jump event. Jill’s best friend jumped 6 5 7feet. How much farther did Jill’s best friend jump? Describe in words the process you used to solve the problem

Answers

Answer:

Subtract 6.13ft from 6.57ft, and you should get .44 as your answer.

Jay bought a painting on sale for 45% off the original price, for $27. What was the price of the painting before the sale?

Answers

Answer:

 0.55x = $27

Step-by-step explanation:

Let the price of the painting = x

x - 45% of x = $27

    x - 0.45x = $27

         0.55x = $27

Divide both sides by 0.55

 0.55x/0.55 = $27/0.55

                  x = $49.09

i can type 39 words 36 secs at this rate how many words will i type in one minute.

Answers

Answer:

65

Step-by-step explanation:

You can write it as a ratio. 39:36. You then have x:60. You can divide 36 by 60 and then divide 39 by that number (0.6)

Answer:

65 words perminute

Step-by-step explanation:

36/ 36=1

39/36= 13/12=1  1/12

1  1/12 x 60=65

if 3n-4=8 then what is the value of 5n-3 ​

Answers

Answer:

17

Step-by-step explanation:

Given

3n - 4 = 8 ( add 4 to both sides )

3n = 12 ( divide both sides by 3 )

n = 4

Thus

5n - 3 = 5(4) - 3 = 20 - 3 = 17

What is 4 divided by 3/5

Answers

Answer:

20/3 or 6 2/3

Step-by-step explanation: 4/1 times 5/3           multiply and you get 20/3

Answer:

6 2/3

Step-by-step explanation:

△PQR is rotated 180° about the origin. What is the coordinate for Q' ?



(3, 2)


(2, -3)


(-3, 2)


(-2, 3)

Part: 2

△PQR is reflected across the y-axis. What is the coordinate for R' ?



(-3, -4)


(-4, 3)


(4, -3)


(3, 4)

Answers

Answer:

Part 1:

Q’ = (2, -3)

Part 2:

R’ = (-3, -4)

Hope this helps!

A granola bite contains 27 calories. Most of the calories come from grams of carbohydrates. The rest come from other ingredients. One gram of carbohydrate contains 4 calories.The equation represents the relationship between these quantities. List the facts. * 4c + 5 = 27

Answers

Step-by-step explanation:

Given the expression that modeled the relationship between these quantities (calories from grams of carbohydrate and the rest of the ingredients) as

4c+5 = 27

From the equation, the constant value of 5 represents the calories in grams of  the rest of the ingredients present in the bite.

Let us calculate the value of c from the equation

4c+5 = 27

4c + 5- 5 = 27-5

4c = 22

c = 22/4

c = 5.5

This means that the total calories of carbohydrate the granola bite contains is 4(5.5) i.e 21 calories of carbohydrate

Note that 8 cannot be the solution to the equation because for us to eliminate 5 from both sides of the equation, we need to subtract it from both sides not add. If 5 was added to both sides, the value of c would have been (32/4 i.e 8) which would have been wrong.

name the sets of numbers to which 7/9 belongs

Answers

Answer:

OK.

the sets are

natural numbers (or counting numbers), this is like 1,2,3,4,5 etc

whole numbers, this is including 0, so 0,1,2,3,4,5,6 etc

integers, this includes the previoius set and negatives, so -3,-2,-1,0,1,2,3,4,5 etc

rational numbers, this is the set of numbers that can be written in form a/b where b≠0, so all integers can be written like this, like example -3=-3/1, so -7/9 belongs here

-7/9 goes in the rational set

The graph shows the cost of purchasing T-shirts. Find the constant rate of change for the graph. Then explain what points (0,0) and (1,9) represent​

Answers

Answer:

See below

Step-by-step explanation:

As per the attached graph we observe that the constant rate of change is 9 as each step of horizontal change corresponds to 9 steps of vertical change

It is found as the division below:

(9-0)/(1-0) = 9/1 = 9

Point (0, 0) indicates the start point

Point (1, 9) indicates the cost of 1 t-shirt

Solution

As to the attachment graph ;

we observed that the constant rate is 9each step of horizontal change correspond to 9 steps of vertical change

Now,

according to the question

it is found as the division below ;

(9-0)/(1-0)=9/1 = 9

the point which is indicating the starting point ;

(0,0)

the point which indicate the cost of one t-shirt ;

(1,9)

The Campbells went out to dinner at Chilli's. They spend $64.00 and want to leave a 20% tip. How much did they tip their server? ​

Answers

Answer:

12.8$

Step-by-step explanation:

20% is equal to 0.2. You multiply 64 by 0.2. I hope this helps.

HELPP!!!
Question 8 of 19
What is an equation that can be used to solve the proportion?
8/15 = x/6

A. 90x = 8
B. 15x = 48
C. 48x = 15
O D. 8x = 90

Answers

8/15 = x/6

Using cross multiplication let us find the value of x .

= 15 × x = 6 × 8

= 15x = 48

= x = 48 ÷ 15 ( transposing ×15 from LHS to RHS changes ×15 to ÷+5 )

= x = 3.2

Therefore , the equation that can be used to solve the proportion :-

B. 15x = 48

Answer:

its B

Step-by-step explanation:

Round the factors and estimate the products.
a.
656 x 106 -

b. 3,108 x 7,942 -
C.
425 x 9,311 -
what is this i wanna drop out

Answers

Answer:

a. 70,000

b. 24,000,000

c. 3,600,000

Step-by-step explanation:

You round all the numbers and multiply the rounded numbers.

So...

a. 656 = 700

106 = 100

7000*100= 70,000

b. 3108 = 3000

7942 = 8000

3000*8000= 24,000,000

c. 425 = 400

9311 = 9000

400*9000= 3,600,000

NASCAR driver Jimmy Johnson completed 200 laps as he crossed the finish line. From the start of the race to the finish line, is a description of his _________________.

A. displacement
B. speed
C. velocity
D. Distance

Answers

Answer:

B!!

Step-by-step explanation:

think its B im not sure

It would be d because the speed isnt said, displacement is for boats and velocity is basically speed and its how many laps, so it is distance

P=a+b+c solve for b and graph the inequality

Answers

I need points can you give me some of your points

7. The width, w, of a bolt is supposed to be 2 cm, but it may have a 0.01-cm margin of error.
Solve the inequality lw - 2 30.01. What does the solution mean in this context?
PLEASE HELP

Answers

Answer:

to be honest.....I HAVE NO FRINKIN CLUE, i just answered to say that you have a cute name if thats your real name

Step-by-step explanation:

Congrats, you have reach the worlds biggest idiot

| CMON      |

| LETS      |

| PLAY      |

| SOME      |

| GANG      |

| GANG      |

| FORTNITE  |

|-----------|

(\__/) ||

(•ㅅ•) ||

/   づ

0.333 repeating times 15. Please help me out and answer this question.

Answers

Answer:

4.995

Step-by-step explanation:

the Venn diagram is shown below​

Answers

n(A), n(B) and n(AnB) are given and n(AUB)'s complement is asked.

143cups + 1 1/3 cups

Answers

Answer: 144 1/3 cups

Step-by-step explanation: 143+1 1/3=144 and 1?3

There are 84 turkey and 63 ham sandwiches to be places on trays. Each tray should have only one kind of sandwich, and all trays have the same number of sandwiches. If you place the greatest possible number of sandwiches on each tray, how many trays will you have with turkey and how many with ham?

Answers

it should have 83 turkey and 83 ham and one extra.

what is 2 to the second power

Answers

Answer:

4.

Step-by-step explanation:

Hope this helps! <3

What is the equation of the line that is parallel to the line y = 2x + 6 and goes through point C (8, 1)?

Answers

Answer:

y=2x-15

Step-by-step explanation:

In parallel lines the gradient is always the same. then we sub the coordinates in to find c.

so

1=2(8)+c

c equals to -15 t

then

y=2x-15

1 pts
Question 2
Karen rented a moving truck to move all of the items in her home. The rental
company charged $42 a day plus $0.13 per mile in gas. If Karen rented the truck for 2
days and he total bill was $124.95, how many miles did she travel?
miles

Answers

Answer: 315 miles

Step-by-step explanation:

42x2=84

124.95

-84.00

_______

40.95

40.95 ➗ 0.13 = 315 miles

The total amount of Keira's cell phone bill, b, varies directly with the number of text messages she sends, m. Which of the following equations best models the amount of money Keira must pay for her cell phone bill?

Answers

Pls list the equation options so we can give you an answer
Other Questions
This man was the leader of the USSR when the Berlin Wall came down in the 1980s. A. Yuri Andropov B. Boris Yeltsin C. Mikhail Gorbachev When used appropriately, prescription drugs can? a) help treat symptoms and illnesses b) Cause side effects and withdrawal symptoms c) Have no results worth mentioning d) All of the aboveWhats the answer? 1. Which of the following provides a correct answer for a problem that can be solved using the kinematic equations?A A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's finalposition is 32 m.B A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's finalvelocity is 16 m/sC A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's travels adistance of 16 mA body starts from rest and accelerates at 8 m/s/s for 3 s. The body's finalvelocity is 24 m/sE A body starts from rest and accelerates at 8 m/s/s for 3 s. The body's finalposition is 30 m.1 of 14235 6 7 89 lines A and B are parallel lines find the measures of angle 1 Solving a System of Linear InequalitiesGiven the system of inequalities:4x - 5y = 1Which shows the given inequalities in slope-interceptform? 2. Prince Henry:3. Christopher Columbus:4. Amerigo Vespucci:5. Jacques Cartier:6. Samuel Champlain:7. John Smith:What are they known for ? b) Simplify the expression (V7 + 3) square 2 Andy is scuba diving. He starts at sea level and then descends 10 feet in 212 minutes. Part A How would you represent Andy's descent as a unit rate? Express your answer as an integer. Enter your answer in the box. feet per minute Part B If he continues at this rate, where will Andy be in relation to sea level after 6 minutes? feet You are working on your conclusion, but youre having trouble challenging your readers. Which of the following strategies will help you with that?A-Capture your key points and comment on their significance B-Use the words from these examples, we can see that...C-Walk away from your writing to describe your writings to a friendD-show your readers what will happen if they change their thinking What was Joseph Stalin's plan to make Russia and the Soviet Union a powerfulregion in the years leading up to World War II?Stalin gave all Russians freedoms that could be not be taken away.Stalin relied on the advice of President Woodrow Wilson and reduced the size ofthe Russian military.Stalin gave his secret police force paid vacation days.Stalin sought to industrialize the Soviet Union through collective farming andmanufacturing quotas. Mr. Lowell has one of the most impressive antique toy collections in the United States, and he plans to distribute all 34,083 toys in his collection evenly to 21 different museums. How many toys will each museum get? not really an academic subject lol just a stoopid inquiry..does anyone else stay up super late even if they're tired? like you haven't "completed" your day yet. just me?... TT_TT pls help(my sleep schedule is very messed up) :,) Assume the bonds below have the same term and principal and that the state or local government that issues the municipal bond has a good credit rating. Which list has bonds correctly ordered from the one that pays the highest interest rate to the one that pays the lowest interest rate How does Brother have a positive on Doodle If a cell's organelle worked in an actual human factory and had the role of the electric generator, which organelle would it be? How many times greater is the product of 4 x 300 than the product 4 x 30 Please help it would help me alot!!! Which phrase describes organisms that formed index fossils?(a) Are extinct (b) Had soft parts(c) Were generally large(d) Lived in a narrow geographic area g(x) = -4(x + 3)(4x - 2) Which ordered pair is in the solution y>=1/3x+4 A. (-6,1)B. (1,-6)C. (6,-1)D. (-1,6)