Springs are used to measure the mass of objects. The extension of a spring, E centimeters, is
directly proportional to the mass, M kilograms, of the object hanging from the spring. A 4-kg
load stretches a spring by 2.5 cm. If a 6-kg load is hung on the spring, find the extension of the
spring in centimeters.

Answers

Answer 1

Answer:

The extension of the 6-kg load is 3.75 cm

Step-by-step explanation:

4/2.5 = 6/x

Cross multiply:

4x = 15

15/4 = x

x = 3.75


Related Questions

Write an expression for the nth term of the geometric sequence. Then find the indicated term. a1 = 3, r = 3 , n = 10

Answers

Answer:

[tex]A_{n} =3(3)^n^-^1[/tex]

[tex]A_{10} = 59,049[/tex]

Based on the statment, below which statement could be used to prove <1=<2?
vertical angles are congruent
supplementary angles are congruent
complementary angles are congruent
two angles that form a linear pair are congruent

Answers

Answer:

Vertical angles are congruent

Which is an example of a statistical question?

Questions
Question 1 How many pets does Alisha have at home?
Question 2 How old were you when you got your first pet?
Question 3 Do you like having a pet?
Question 4 What is Alisha’s pet’s name?


A question 1
B question 2
C question 3
D question 4

Answers

Answer:

Question 2

Step-by-step explanation:

divdtihcdyuvftujvfujvfubf

Answer:

2

Step-by-step explanation:

Determine the function that models the median home price, f (n), in thousands of dollars, n years since
2010.
f(n) =

Answers

I need help

.........:...:..:............

find the values of the variables
i will give brainliest to anyone who’s right.

Answers

P is 48
Q is 53
R is 22
S is 24

Use the formula L= 10 log 10 R, where Is the loudness of a sound and R is the sound's relative intensity. to find out how much louder 20 people talking would be than one person talking. Suppose the sound of one person talking has a relative intensity of 80 decibels.

Answers

Answer:

[tex]X=24.1decibels[/tex]

Step-by-step explanation:

From the question we are told that:

Loudness function [tex]L= 10 log_{10} R[/tex]

Sound of a person [tex]S_p=80\ decibels\ or 10^8[/tex]

Number of persons talking [tex]n=20 people[/tex]

 

Generally the Relative intensity for 20 people is mathematically given by

Relative intensity for[tex]R_{20}=[/tex][tex]20*10^8[/tex]

Relative intensity for[tex]R_{20}=[/tex][tex]20^8[/tex]

Generally the loudness for 20 people is mathematically given by

[tex]L_{20}= 10 log_{10} R[/tex]

[tex]L_{20}= 10 log_{10} 20^8[/tex]

[tex]L_{20}= 10 (8 log_{10} 20)[/tex]

[tex]L_{20}= 104.1 decibels[/tex]

Therefore increase in loudness X is given as

[tex]X=104.1-80=-52.90[/tex]

[tex]X=24.1decibels[/tex]

The number of calories burned while jogging varies directly with the number of minutes spent jogging. If george burns 150 calories by jogging for 20 minutes, how many calories does he burn by jogging for 30 minutes

Answers

He will burn 225 calories. if you divide 150/20 it will equal 7.5 then multiply 7.5 by 30 and you’ll get 225

Question 3 of 10
Which rays form the sides of TUV?
U
A. VT
O B. VU
C. UT
D. TU
E. UV
OF. TV

Answers

i believe ur answer is F

What is the slope of the line represented by -3x + 5y = 20 ?

Answers

The slope would be 3/5x
3/5 is the right one

BRAINLIEST TO CORRECT ANSWER!!! NO links as answers, or you will be reported!! (question 4)

Answers

Answer:

Hello! Your answer would be, C) Divide by 2

Step-by-step explanation:

And plz don't be mean. :(

Hope I helped! Brainiest plz!♥ Have a nice afternoon. Hope you make a 100%! -Amelia

Kevin has $50 and wants to buy some art paper and paints. One pack of art paper cost $12 and the paints cost $6 per tube. He buys 2 packs of paper. Which inequality should Kevin solve to find the maximum number, n of tubes of paint that he can buy

Answers

Answer:

26 ≤ 6

Step-by-step explanation:

$50 is the budget

Art paper = $12

Paints = $6

He gets 2 packs of paper making  it $24

$50 - $24 = $26

26 divided by 6 = 4.33333 (he can only get 4)

For some reason this was a little confusing for me so let me know if I helped at all.

Two cyclists , A and B , are going on a bike ride and are meeting at an orchard . They left home at the same time . Functions A and B give their distance from the orchard , in miles , after riding for x hours . The functions are defined by these equations

Answers

Answer:

Cyclist A lives farther from the Orchard

Step-by-step explanation:

Given

[tex]A(x) =48.5 -21x[/tex]

[tex]B(x) =42 -16.8x[/tex]

Required:

Who lives farther from the Orchard.

To do this, we simply calculate the y intercept.

This represents the total distance traveled to get to the Orchard

To calculate y intercept, we set [tex]x = 0[/tex]

So:

[tex]A(x) =48.5 -21x[/tex]

[tex]A(0) = 48.5-21*0 =48.5-0 =48.5[/tex]

[tex]B(x) =42 -16.8x[/tex]

[tex]B(0) = 42 - 16.8*0 =42-0 =42[/tex]

From the above computation:

[tex]A(0) > B(0) \to 48.5 > 42[/tex]

Hence;

Cyclist A lives farther from the Orchard

1 13/20 as a percentage​

Answers

Answer: 565%

Step-by-step explanation: Convert fraction (ratio) 113 / 20 Answer: 565%

Given that r = 7x+7y find x when y = 2 and r = 8

Answers

Answer:

x = -6/7

Step-by-step explanation:

We must substitute in the values and solve for x

[tex]r = 7x + 7y\\(8) = 7x + 7(2)\\8 = 7x + 14\\8 - 14 = 7x + 14 - 14\\-6 = 7x\\-6/7 = 7x/7\\x = -6/7[/tex]

48 boxes are loaded onto a truck. The still need to load 96% of the boxes onto the truck. What is the total number of boxes being loaded

Answers

Answer:

the total number of boxes being loaded is 1,200 trucks

Step-by-step explanation:

Given that

There are 48 boxes that should be loaded onto a truck

And, still it is required to lead 96% of the boxes onto the truck

We need to find out the total number of boxes that should be loaded

So

Since 48 boxes represent the 4% of the boxes that are loaded

So,

The total number of boxes would be

= 48 × 100 ÷ 0.04

= 1,200 trucks

Hence, the total number of boxes being loaded is 1,200 trucks

Can anyone help me with #3 and #4 and #6 please I will give brainlist!!

Answers

Answer:

3. 15.02

4. 84.05

6. 4,301

Step-by-step explanation:

I'm not too sure how to explain this, but those are the answers.

HELP, I can't figure out the first question
Answer choice for first question
1. linearly
2.quadratically
3.exponentially

Answers

The answer is linearly

what is 15/9 equivalent to

Answers

Answer:

1 6/9 or 1 2/3

Step-by-step explanation:

Answer: A lot of fractions

Step-by-step explanation:

Some Examples: 5/3, 10/6, 20/12

Which graph represents the inequality
X > 15?

Answers

this one because x has to be bigger than 15.

The graph with inequality x>15 is (B)

What is inequality?

A statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

x>15

As, x is greater than 15.

So, the graph with x value labelled from the numbers greater than 15 which is represented by graph on right top corner.

Learn more about inequality here:

https://brainly.com/question/20383699

#SPJ2

Jamal launched a website for his custom shoe store. On the first day, 3 visitors registered on the website. On the third day, 27 visitors registered on the website. If Jamal uses an exponential function to model the data from the first and third days, how many visitors will he predict to register on the fifth day.

Answers

Answer:

Jamal predicts that 243 people will visit his site on the fifth day.

Step-by-step explanation:

Since Jamal launched a website for his custom shoe store, and on the first day, 3 visitors registered on the website, while on the third day, 27 visitors registered on the website, if Jamal uses an exponential function to model the data from the first and third days, to determine how many visitors will predict to register on the fifth day, the following calculation must be performed:

Day 1 = 3

Day 2 = 3 ^ 2 = 9

Day 3 = 3 ^ 3 = 27

Day 4 = 3 ^ 4 = 81

Day 5 = 3 ^ 5 = 243

Therefore, Jamal predicts that 243 people will visit his site on the fifth day.

HELP ME PLEASE! I need to find the Interquartile range of : 0,0,0,1,1,3,3,3,4,4,4,6,6,7,7,7,8,8,9,10

Answers

Answer:

The interquartile range is 5

Tell me the answer please. Give me a short answer and a step-by-step explanation.

Answers

Answer:

C

Step-by-step explanation:

we should set the equations based on what we know using y=mx+b

in the first set, we have m=5 and the +b as 100. This gives y=5x+100

in the second, we  m=20  and the +b of 10. This gives y=20x+10

I belive C would match this. Hope this helps!

Answer:

y=10x+20

y=5x+100

Step-by-step explanation:

The temperature at midnight is -5°C and is expected to drop 12°
by sunrise. What is the expected temperature at sunrise?

Answers

Answer:

-17 degrees Celsius.

Step-by-step explanation:

If the temperature at midnight is -5, and it is supposed to drop 12 more by sunrise, the 12 degrees are subtracted from the initial temperature.

-5 - 12 = -17 degrees by sunrise.

Please help ASAP!!
A turtle and a snail are 360 meters (who counts this again?) apart, and they start to move towards each other at 3 pm. If the turtle is 11 times as fast as the snail, and they met at 3:40 pm, find the speed of each.
Thank you!! :)

Answers

Answer:

Turtle = 11 m / min      

Snail = 1 m / min

Total approach speed = 12 m/min

360 m / (12 m/min) = 30 min

Separation is 30  min       at assumed speed of 1 m/min

But we know the separation is 40 min

So turtle moves at 3/4 * 11 m / min = 33 m/ 4 min

Snail moves at 3/4 * 1 m /min = 3/4 m / mi

Total approach speed = (33 + 3) / 4 = 9 m / min

So in 40 min

9 m / min * 40 min = 360 m

(Leaving out those units,  they approach at 12 * unit of speed)

So the unit of speed has to be 360 m / 40 min = 9 m / min

Mary bought a bag of parsnips that weighed 2 1/4 pounds. She also bought a bag of turnips that weighed 3 times as much as the parsnips. How many pounds of turnips did Mary buy?

Answers

Step-by-step explanation:

2 1/4 is improper fraction, because it's 21/4. To simplify;

21/4 = 21/4  

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.  

21/4 = 5 1/4

With 21/4 simplified into 5 1/4, you would then do 5 1/4•3 which would be;

15.75

Conlusion/Answer:

Mary bought 15.75 pounds of turnips.

The perimeter of a rectangular garden is 68 feet. The length
of the garden is 2 feet more than double the width. What is the
width of the garden?

Answers

Answer:

10 2/3 ft or approximately 10.67 ft

Step-by-step explanation:

Let the width = w

The length is L = 2w + 2.

The perimeter is:

P = 2(L + w)

P = 2(2w + 2 + w)

P = 2(3w + 2)

P = 6w + 4 = 68

6w = 64

w = 64/6

w = 32/3 = 10 2/3

Answer: 10 2/3 ft or approximately 10.67 ft

MATH DON'T GIVE ME A LINK ANSWER ASSP

Answers

Answer:

The Answers are D and E

Step-by-step explanation:

all have 1 pair of parallel sides

like the 2 Ls in the word Parallel

Answer:

D and E

Step-by-step explanation:

A. Wrong: is a quadrilateral but has TWO pairs if parallel sides.

B. Wrong: is also a quadrilateral but also has TWO pairs if parallel sides.

C. Wrong: has only ONE pair of parallel sides, but is not a quadrilateral.

D. Right: is a quadrilateral with only ONE pair of parallel sides.

E. Right: is a quadrilateral with only ONE pair of parallel sides.

Which of the following is equivalent to(x2+6x+9)
(x-3)(x+3)
(x+2)(x-7)
(x-6)(x+3)
(x+3)2

Answers

The answer is (x+3)2 I believe if not sorry

WILL MARK BRAINLIEST A bag contains 16 marbles. There are 4 green, 10 red, and 2 blue marbles. One marble is selected at random. Determine whether each statement correctly describes the likelihood of an event based on the given bag of marbles. Select True or False for each statement.


True False

1) It is unlikely that a blue marble will be selected.


2) It is certain that a green marble will be selected.


3) It is impossible that a yellow marble will be selected.


4) It is unlikely that a red marble will be selected.

Answers

2 and 4 are false
Explain: it could not be certain unless there was 16 green and it is likely that red would be picked as it is the most common

Answer:

1 is FALSE

2 is TRUE

3 is FALSE

4 is FALSE

Step-by-step explanation:

1 is false because the blue marble is 2 only

2 is true because green marble has a 100% you get this.

3 is false because we din't have yellow marble

4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color

Simplify (2-6)(5)(23 . 5)2.

Answers

Answer:

The answer is 125.
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