The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring. If a spring stretches 2 cm when a 30 gram weight is hung from it, how far will it stretch when a 75 gram weight is hung from the spring?

Answers

Answer 1

Answer:

5 cm

Step-by-step explanation:

The distance a coiled spring stretches varies directly with the amount of weight hanging on the spring.

Distance = D

Weight = W

Hence:

D ∝ W

D = kW

Where k is constant of proportionality

Step 1

We solve for k

If a spring stretches 2 cm when a 30 gram weight is hung from it.

2 = 30k

k = 2/30

k = 1/15

Step 2

how far will it stretch when a 75 gram weight is hung from the spring?

D = kW

We are solving for D

k = 1/15

D = 1/15 × 75

D = 5 cm

The spring would stretch 5cm with a weight of 75 gram.


Related Questions

10. Solve the system of
equations by substitution.
-8x + 2y = 4
y = 4x + 2

Answers

Answer: 4x-y+2=0 i think

Step-by-step explanation

if f(x) = 72(1.25)^x and f(1) = 72(1.25)^1 = 11.25 f(2) = 72(1.25)^2 = ?????????
I need this solved ASAP it is important please help me NO FAKE ANSWERS

Answers

Answer:

f(1)=101.25 and f(2)=112.5

Step-by-step explanation:

f(1) = 72(1.25)^1 = 11.25

f(1)=90=11.25

f(1)=101.25

f(2) = 72(1.25)^2

f(2)=72(1.5625)

f(2)=112.5

Jill is buying new appliances. The cost of the dishwasher is $459 and the cost of the microwave is $289. What is the total price including the sales tax of 7%?

Answers

Answer:

$800.36

Step-by-step explanation:

429+289=748

7% of 748= 52.36

748 + 52.36=800.36

The total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

What is Algebra?

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

Jill is buying new appliances.

The cost of the dishwasher is $459 and the cost of the microwave is $289.

The total amount of the dishwasher and microwave will be

Total amount = 459 + 289

Total amount = $748

Then the price of the dishwasher and microwave after the sales tax of 7% will be

Total price = 7% of $748

Total price = 1.07 x $748

Total price = $800.36

Then the total price of the dishwasher and microwave after the sales tax of 7% will be $800.36.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

what is the value halp me​

Answers

Answer- This is a fairly simple calculation, I got a -1/5,

Step-by-step explanation:

This is the way solved it, just substitute the x value for 1, and just solve.  Hope it helps.

-1/5


.........,..........

Figure A has a perimeter of 24 inches. Figure B has a perimeter of 36 inches and one of its side lengths is 12 inches. Find the missing corresponding side length.

Answers

Answer:

The corresponding side length is 8 inches

Step-by-step explanation:

Similar Shapes

Two shapes are similar if all of their side lengths are in the same proportion. For example, triangle 1 has sides of 3-4-5 and another similar triangle has sides of 15-20-25. Note all their lengths are proportional with a scale factor of 5.

We are given the perimeter of figure A Pa=24 inches and the perimeter of figure B Pb=36 inches. The scale factor can be obtained as 36/24=3/2.

If one of the lengths of figure B is 12 inches, then the corresponding length for figure A is 12/(3/2) = 8 in.

The corresponding side length is 8 inches

a. A new restaurant owner purchased ads
to run in the paper over several days. She
1
1
5
bought two
-page ads, nine
20
-page ads,
1
and five 4 -page ads. What was the total
amount of space that

Answers

It could prob be 385

PLEASE HELP! NEED HELP NOWWWW!!!! PLS! HELPPPP

Write the linear equation for the following word problem:

Your family has decided to go to the lake and rent a canoe. The rangers charge $6.50 per hour in addition to a $25 rental fee.

Answers

Answer:

$44.50

Step-by-step explanation:

Tiffany's allowance is reduced $1.25 every time she forgets to clean her room. If she forgets to clean her room 7 times this month, by how much money is Tiffany's allowance reduced? A. $7.25 B. $8.75 C. $17.85 D. $18.75

Answers

Answer:

$8.75

Step-by-step explanation:

Tiffany allowance is reduced by $1.25 each time she forgets to clean her room

If she forgets to clean her room 7 times this month

Then her allowance is reduced by

= 1.25 × 7

= 8.75

Hence Tifanny allowance is reduced by $8.75

Answer:

Hence Tifanny allowance is reduced by $8.75

HELP!! VERY TIME TIME SENSITIVE

Point A lies on the graph of f(x) = 1/2x + 2. Locate the image of point A that lies on the graph of f^-1(x)
A.) (-2, 1)
B.) (2, -1)
C.) (-1, 2)
D. (1, -2)

Answers

Answer:

B is your correct answer

Step-by-step explanation:

The image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

What is Inverse of function?

The inverse of a function is a new function that "undoes" the original function. More formally, if a function f maps elements of a set X to elements of a set Y, and if there is a function g that maps elements of Y back to elements of X such that g(f(x)) = x for all x in X, then g is called the inverse of f.

First, we need to find the inverse of f(x) = 1/2x + 2. We can do this by switching x and y and solving for y:

x = 1/2y + 2

x - 2 = 1/2y

2x - 4 = y

So, the inverse function is f⁻¹(x) = 2x - 4.

Now, we can use the coordinates of point Ato find its image on the graph of f⁻¹(x).

Point A has coordinates (x, y) = (0, 2) since it lies on the graph of f(x) = 1/2x + 2. We want to find the image of this point on the graph of f⁻¹(x) = 2x - 4.

We can start by plugging in y = 2 into the equation for f⁻¹(x):

y = 2x - 4

2 = 2x - 4

6 = 2x

x = 3

So, the image of point A on the graph of f⁻¹(x) has coordinates (x, y) = (3, 2).

Learn more about Inverse of Function here:

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In Mr. Layden's class, three students
brought in their baseball card
collections. For their three
collections, the mode was 126 and
the range was 26. What are two
possibilities for the number of cards
in each student's collection?

Answers

Answer: 126, 126, 152

or

100, 126, 126

Step-by-step explanation:

Find the measure of angle A.
x + 47
780
x + 61
A) 31°
B) 44°
C) 51°

Answers

A hope it’s correct

Answer:

180 degrees in a triangle

180 - 78 - 47- 61 = -6

2X = -6

-6/2 = -3

-3 + 47 = 44

-3+61= 58

78 + 58 + 44= 180

A = 44 degrees

Pls Help
I will mark as brainliest!!!!
which integer represents a golf score of 4 over par?

Answers

Answer:

Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Step-by-step explanation:

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?Pls Help

I will mark as brainliest!!!!

which integer represents a golf score of 4 over par?

Answer:

The integer is a positive 4 for golf. Under par should be negative 4.

Step-by-step explanation:

Convert -2x+6y=-24 to slop intercept form​

Answers

Answer:

y= 1/3x - 4

Step-by-step explanation:

hope this helps

please help I don’t understand this if you could help me that would be great , thanks!

Answers

Answer:   y = 4x

slope = 4

y intercept = 0

====================================================

Explanation:

Two points on this line are (8,32) and (12,48)

Apply the slope formula to get

m = (y2-y1)/(x2-x1)

m = (48-32)/(12-8)

m = 16/4

m = 4

The slope is 4.

Use a point like (x,y) = (8,32) and the slope we found to determine the y intercept b

y = mx+b

32 = 4*8+b

32 = 32+b

32-32 = 32+b-32 ... subtract 32 from both sides

0 = b

b = 0

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

We found that m = 4 is the slope and b = 0 is the y intercept

We go from y = mx+b to y = 4x+0, which simplifies to y = 4x

In short: the y coordinate is 4 times that of the x coordinate.

For instance, if x = 16, then

y = 4x = 4*16 = 64

Which leads to the point (16,64)

Note: the slope of 4 means it costs 4 dollars per gallon. We can think of this as the unit rate, or rate of change.

Answer:

y = 4x

Step-by-step explanation:

The relation is proportional ⇒ y = kx , k = [tex]\frac{y}{x}[/tex]

~~~~~~~~~~

(8, 32)

(12, 48)

(16, 64)

k = 32 ÷ 8 = 4

y = 4x

Find the roots of the following factored quadratic equation.
y= (2x-9) (7x-4)

Answers

Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

HELP NEEDED HELP NEEDED!

Answers

I think it is j but I do not now

Answer:

G. 8.625 [tex]ft^{2}[/tex]

Step-by-step explanation:

Area of first rectangle:

1.5 × 2.5 = 3.75 ft

Area of second rectangle:

1.5 × 2.5 = 3.75 ft

Area of triangle:

1.5 × 1.5 = 2.252.25 ÷ 2 = 1.125

Put them together:

3.75 + 3.75 + 1.125 = 8.625 [tex]ft^{2}[/tex]  

I hope this helps!

What is the domain and range?


Answers

Answer:

The domain D = {0, 1, 2, 3, 4, 5}

The range R = {3, 4}

Step-by-step explanation:

Given the ordered pairs or points on the graph

{(0, 4), (1, 4), (2, 4), (3, 3), (4, 3), (5, 3)}

We know that the domain of the function is the set of input or arguments for which the function is real and defined.

In other words,

Domain refers to all the possible sets of input values on the x-axis.

It means the set of all the x-coordinates of the given points or ordered pairs on a graph will be the domain.

Thus,

The domain D = {0, 1, 2, 3, 4, 5}

Determining the range:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

It means the set of all the y-coordinates of the given points or ordered pairs on a graph will be the range.

Thus,

The range R = {3, 4}

Note: Please note that the duplicated elements in the range are written only once.

help! Giving out extra points and brainlist

Answers

Put (-3,9) on the second quadrant and (1,1) on the first the quadrant you will get 8/2 using rise/run
Simplified its 4/1
Here’s the graph
Y intercept is (0,3)
Slope -2
I hope this helped :)

~ P l e a s e ~ h e l p ~ m e ~ o u t ~

Answers

Answer:

I think it's A.)

Step-by-step explanation:

Helppp pleaseeee

Someone pleaseeeee

Answers

I think the answer is c

The internal measures of a cuboidal room are 9m, 5m and 6m respectively. Find the total cost of
whitewashing all four walls of a room, if the cost of white washing is ₹ 5 per sq.m. What will be the cost of white washing if the ceiling of the room is also whitewashed.

Answers

Answer:

₹ 1290

Step-by-step explanation:

The total surface area of the room = 2(LW + WH + LH)

TSA = 2(9*5 + 9*6 + 5*6)

TSA = 2(45 + 54 + 30)

TSA = 2(129)

TSA = 258

Hence the total surface area of the room is 258m²

If 1m² = ₹ 5

258m² = 5(258) = ₹ 1290

The cost of white washing if the ceiling of the room is also whitewashed is ₹ 1290

can anyone help with this?

Answers

Answer:

zuzhztxrctwhdvdhsuwjd

What is the solution to the system of equations?
y = x +3
X=-2

Answers

Answer: i don’t know

Step-by-step explanation:

What should be subtracted from -8xy + 2x^2 + 3y^2 to get x^2 + 2

Answers

Answer:

x^2 - 8xy + 3y^2 - 2

Step-by-step explanation:

(-8xy + 2x^2 + 3y^2) - unknown = x^2 + 2

- unknown = x^2 + 2 + 8xy - 2x^2 - 3y^2

- unknown = -x^2 + 8xy - 3y^2 + 2

Unknown = x^2 - 8xy + 3y^2 - 2

Check:

(-8xy + 2x^2 + 3y^2) - (x^2 - 8xy + 3y^2 - 2)

= -8xy + 2x^2 + 3y^2 - x^2 + 8xy - 3y^2 + 2

= -8xy + 8xy + 2x^2 - x^2 + 3y^2 - 3y^2 + 2

= x^2 + 2

Matt has answered the questions on a test. What percentage of the test questions have 20/25 Matt answered?

Answers

Answer:

80% complete with the test

Step-by-step explanation:

what you would do is if he does 20 out of 25 questions you would think that 25 is 100 and you would see that 20 is 80% because of you doing 5,10,5,20,25 the 20 is the 4th one and 80 is the forth of 100 so the answer is 80%.

Hope this helps :)

PLZ HELP ME! THANK YOU PLZ
consider the system of equation below 4x-8y =12 11x+7y=33

Part A: The equation 2x – 4y = 6
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.
Part B: The equation 22x + 7y = 33
-can be used to create an equivalent system.
-can’t be used to create an equivalent system.

Answers

Answer:

first part is can be used to create an equivalent system and second part is can’t be used to create an equivalent system i think

Answer:

first can

second cant

Step-by-step explanation:

Posted this question 1000times plz some answer, thank you guys, plz show all the working

Answers

Answer:

it may be helpful to you.

Step-by-step explanation:

Express each ratio as a unit rate. Round to the nearest tenth, if necessary.
140 miles on 6 gallons
a.23.3 mi/gal
c.0.042 mi/gal
b.840 mi/gal
d.13.6 mi/gal

Answers

Answer:

a

Step-by-step explanation:

because I heard that it was subject to the same time period in which the most popular ob on pov and i was in the empty classroom But I think I can dye my hair It is the most popular ob on pov and i was in the car atm but my phone said the time was the only one ☝

-6=n/2-10 step by step one plz

Answers

Answer:

n = 8

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-6 = n/2 - 10

Step 2: Solve for n

Add 10 to both sides:                    4 = n/2Multiply 2 on both sides:              8 = nRewrite:                                          n = 8

Step 3: Check

Plug in n into the original equation to verify it's a solution.

Substitute in n:                   -6 = 8/2 - 10Divide:                                 -6 = 4 - 10Subtract:                             -6 = -6

Here we see that -6 does indeed equal -6.

∴ n = 8 is the solution to the equation.

Here you go,
STEP-BY-STEP




Beginning with the equation x = 6, write the new equation produced by multiplying both sides by 6


Help and you earn 34 points

Answers

Answer:

(x-6)(x+6)

Step-by-step explanation:

Answer:

(x-6)(x+6)

Step-by-step explanation:

cause you see x-6 is part of it cause ur multiplying

and x+6  of it cause ur multiplying both sides

for both.

and sorry for like typos or thing slike that cause i been typing a whole essay today for college

like 1000 words

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