direct variation
Hooke's Law for an elastic spring states that the distance a spring stretches varies directly as the force applied. if a force of 180 newtons stretches a spring 5 cm, how much will a force of 270 newtons stretch the same spring?

pls help (;ŏ﹏ŏ)​

Answers

Answer 1

When a force of 270N is applied, the spring stretch by 7.5cm

Two variables are said to be directly proportional if as one variable increases/decreases, the other variables does the same by the same amount.

Let F represent the force and x represent the extension, hence:

F ∝ x

F = kx; k is the constant of proportionality

When F = 180, x = 5, hence:

180 = 5k

k = 36

F = 36x

When F = 270:

270 = 36x

x = 7.5 cm

When a force of 270N is applied, the spring stretch by 7.5cm

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Related Questions

write the ratio $12 dollars 3 tickets as a unit rate

Answers

Answer:

20 pesos lang

Step-by-step explanation:

kami 5 pesos per ticket kayo 12 dollar

The directions on a sewing pattern say to cut an extra 15% of fabric to account for error.
Chloe needs 0.75 yardof fabric to make a skirt, and she cuts 0.1125 yard.
Did Chloe cut the correct amount of fabric? Why or why not?

Answers

9514 1404 393

Answer:

 no; the yardage should be more than 0.75 yards

Step-by-step explanation:

A value that is 15% more than 0.75 will be a number that is greater than 0.75. The number 0.1125 is much less than 0.75, so cannot be the correct amount of fabric.

Chloe did not cut the correct amount.

(the correct amount is 0.8625 yards)

_____

Additional comment

Often, all that is needed for answering a multiple choice question properly is ...

  a) an understanding of what the question is asking

  b) comprehension of what the answer must look like.

Here, the directions are saying to cut more than 0.75 yards. The result will be a value that is more than 0.75 (and less than 1).

The value 0.1125 yard is 15% of 0.75 yard. The cut amount should be that much in addition to 0.75 yard: 0.75 +0.1125 = 0.8625 yard.

A rectangular solid measures 150cm by 100cm by 200cm calculate the volume

Answers

Answer:

3000000cm³

Step-by-step explanation:

150cm x 100cm x 200cm = 3000000cm³

What is the value of this expression? {5×(13−8)}+12÷6 Enter your answer in the box.

Answers

Answer:

27

Step-by-step explanation:

start with {5*(13-8)+12/6}

simplify to get:

(5*5)+12/6

simplify to get:

25+12/6

simplify to get:

25+2

simplify to get your answer:

27

Joe's employer will reimburse him $0.17 per miles driven. If Joe drives 104.43 miles on a business trip, what is his mileage reimbursement?

Answers

Answer:

17.75

Step-by-step explanation:

You can rewrite the sentence as

$0.17*104.43=

Which is  17.7531

Round it money which is 17.75

Therefore 17.75 is your answer

Hope this helps!

hi, can you help me here pls?






...


...​

Answers

1. Money
2. Weight
3. Length
Time
Height
Distance
Weight
Money

Round off the numbers then add to find the estimated difference.

ANSWERS ARE INCORRECT

Answers

Answer:

500, 300

Step-by-step explanation:

Assuming the rounding is for nearest 100,

635-124

600-100

500

864-612

900-600

300

Which if the following is NOT a function and WHY? Provide reasoning

Answers

Answer: A

Step-by-step explanation:

A is not a function because in order to be a function. It has to pass the vertical line test. based on the graph, it doesn't pass the test. You can search up the graph on desmos.

1.Which of the following is equivalent to 0.00648
2. What is the decimal equivalent of 8.3 x 10*6

3. What is the decimal equivalent of 9.7 x 10*5

4. Write 0.501 in scientific notation

5. Which of the following is equivalent to 4.99 x 10*-4

Answers

Answer:

D) 6.48 x 10⁻³

Step-by-step explanation:

to get an exponent of -3 means you move the decimal point three spaces to the right

2) 8,300,000

3) 970,000

4) 5.01 x 10⁻²  (picture)         5.01 x 10⁻¹ (question)

5) 0.000499

Which expression is equivalent to -0.25(16m + 12)?

PLEASE HELP

Answers

Answer:

-4m-3

Step-by-step explanation:

Step-by-step explanation:

-0.25(16m+12)

(-0.25×16m)+(-0.25×12)

(-4m)+(-3)

-4m-3. Answer

Can someone please help me with this problem

Answers

Answer:

A is the right one

Step-by-step explanation:

if not I'm sorry I'm here to help

In a geometric sequence the ratio between consecutive terms is

Answers

Answer:

always the same

Step-by-step explanation:

Write the answer to 6 2/5 × 4 in improper fraction form AND mixed number form.

Improper fraction:
-------------------------

Mixed number: -------------------------
(whole number + fraction number

Answers

Answer:

6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.

32/5 * 4/1 = 128/5

128/5 is the improper fraction

and the mixed number is 25 3/5

Step-by-step explanation:

6 2/5 as an improper fraction is 32/5 and if we turn 4 into a fraction (4/1) we can multiply them.

32/5 * 4/1 = 128/5

find the equations of line parallel to x-2y=6 that pass through (-4,1)​

Answers

Step-by-step explanation:

Slope:(II)m= -2

y-1=-2(x+4)

y-1=-2x+8

+1. +1

Answer: y=-2x+9

draw a square and its diagonals how many angles are formed by the intersection of the diagonals?

Answers

A square has 2 diagnals. imagine 2 lines connecting every opposite angle of the square. that leaves 2 intersecting lines. Sinse the two lines are intersecting, they form angles. Because there are only 2 lines, there are 4 angles. The answer is 4.

A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4.

What is a square?

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

Area of square = Side²

The perimeter of the square = 4× side

A square is a geometrical figure in which we have four sides each side must be equal and the angle between two adjacent sides must be 90 degrees.

There are two diagonals in every square.

The angle of intersection between both diagonals is 90 degrees.

The number of angles formed by diagonals = 4

Hence "A square is a four-equal-sided figure with the diagonals of the square cut perpendicular to each other as shown below and the number of angles formed by diagonals is 4".

For more about a square,

https://brainly.com/question/2189895

#SPJ2

find the value of 3x^3y-2xy^2 when x=3 and y=-2​

Answers

Answer:

sorry I don't remember bye I will try to remember

It’s -30
3^3^3^-2-2^3^-2^2 = -30

for his
Noah decides to change the design of the tabletop so that it is a rectangle with the same
area as his original tabletop design. How can Noah change his design to a rectangle but
keep the same area?
Choose one option from each drop-down menu to answer the question.
To change his design, Noah can make one vertical cut through the parallelogram to form
Choose...
Then, to make a rectangle, he can match up
Choose..
Noah's original tabletop design
has the same area as a rectangle with a base of Choose...ft and a height of
Choose... v ft.

Answers

Answer:

two triangles, the top of one figure with the bottom of the other figure, 8 and 4

Step-by-step explanation:

I am not sure if it's right but I hope it is!

If a unicorn went 200 miles how many feet did it take to get home?

Answers

Answer:1 mile traveled at the rate of 200 miles in 60 minutes. ... Therefore, it would take 18 seconds to travel 1 mile going at a speed of 200 miles per hour!

Step-by-step explanation:

find the values of x and y

Answers

Answer:

x = 68°, y=14

Step-by-step explanation:

∵ m║n

∴ m∠x = 180 - m∠112

m∠x = 68°

∵ ∠x and ∠(5y - 2) are vertically oppose

∴ m∠(5y - 2) = m∠x

m∠(5y - 2) = 68

Make equation

5y - 2 = 68

5y = 68 + 2

5y = 70

y = 70/5

y = 14

Hope this helps

Answer: x = 68, y = 14

Step-by-step explanation:

• The supplement of the angle with the measure of 112° is :

[tex]\bf x + 112 = 180 \\ \bf x = 180 - 112 \\ \bf \boxed{ \color{#FF0000}x = 68 }[/tex]

This angle of 68° and the angle sign x° are in angular positions.

Internal alternators

The lines m and n are parallel, these angles have the same measure.

The marking of the angle x and the marking of the angle (5y-2)° are opposite to the vertex.

They have the same measure:

[tex]\bf 5y - 2 = 68 \\ \bf 5y = 68 + 2 \\ \bf 5y = 70 \\ \bf y = 70 \div 5 \\ \bf \boxed{ \color{#FF0000}y = 14 }[/tex]

The question is in the screenshot!!

Answers

Yeah, but can we see the screenshot

WILL GIVE BRAINLIEST!!!!!! ANSWER QUICK PLEASE!!!

Answers

Answer:c?

Step-by-step explanation: i think?

At the grocery store, 6 pints of ice cream cost $12.54. How much would 40 pints of ice cream cost?

Answers

Answer:

$83.60

Step-by-step explanation:

to find the answer you need to know the price of one pint (unit rate) so we divide 12.54 by 6.

12.54 ÷ 6 = 2.09

then we multiply that by 40

2.09 x 40 = 83.60

You are shipping a box that weighs 13 pounds. Shipping charges are listed by ounces at the local mail center. How many ounces does the box weigh?

Answers

Answer:

208 ounces in 13 pounds

Step-by-step explanation:

Logan and his father each have a sandwich and a drink for lunch at a restaurant. A sandwich costs $5.25 and a drink costs $1.75. Logan's father leaves a 20% tip. What is the amount of the tip?

Answers

Answer:

$1.4

Step-by-step explanation:

$5.25 + $1.75 = $7

20/100 × $7

= 20× 7 /100

= 140/100

= $1.4

WILL GIVE BRAINLIEST!... whats the unit rate of the equation(HAVE TO SHOW HOW YOU GOT ANSWER)
y=-4x​

Answers

Answer:

-4

Step-by-step explanation:

The form of a liner equation is y=mx+b.  b is 0 in this example.  So we are left with y=-4x

-4 is the m, the slope.  It is also called the unit rate of change.  It tells us how much y changes for each 1x unit.  

y     x

0    0

-4    1   One unit changes y by -4 :  The unit rate of change.

-8    2

and if someone could explain how they got this would be great-

Answers

are you sloving the x? or what are you sloving


Isolate the variable by dividing each side by factors that don't contain the variable.


x < 3

By visual inspection alone, which one of the following pairs of variables has a stronger relationship between them?
1. Community violence exposure and Bullying by peers have a strong relationship at -0.24.
2. Community violence exposure and Bullying by peers have a strong relationship at 0.20.
3. Community violence exposure and SAT-9 Mathematics have a stronger relationship at -0.24.
4. Community violence exposure and SAT-9 Mathematics have a stronger relationship at 0.20.

Answers

Boiii. Job. Look. Jkjk. Bbh. Bbhhh yes I did
but yuyyyyyyyy

Homework help!!!!!!!

Answers

Answer:

r = -9

Step-by-step explanation:

the less the negative number is the more it is .

9 is the cube root of (a) 343 (b) 729 (c) 629 (d) 81 ​

Answers

Answer:

(b) 729

Step-by-step explanation:

9 × 9 × 9 = 9^3 = 729

Thus, 9 is the cube root of 729

A cube root is ‘to the power of 3’. Therefore in order to solve the question, you need to calculate 9 x 9 x 9. This is equal to ‘b) 729’.

Order the expressions by choosing >,<, or =

Answers

Answer:

1. <

2. <

3. >

Step-by-step explanation:

Remember in order to solve exponents you need to multiply the whole number by itself as many times as it's exponent so if you have 3^4 you need to multiply three by itself four times.

1. [tex]2^5 = 2\times2\times2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2=32[/tex]

[tex]=32[/tex]

[tex]2^2 = 2\times2[/tex]

[tex]2\times2=4[/tex]

[tex]32\times4=128[/tex]

[tex]2^{10} = 2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2[/tex]

[tex]2\times2\times2\times2\times2\times2\times2\times2\2\times2\times2=1024[/tex]

128 < 1024

2. [tex]2^2=2\times2=4[/tex]

[tex]5^2=5\times5=25[/tex]

[tex]4\times25=100[/tex]

[tex]=100[/tex]

[tex]2^{10} = 1024[/tex]

100 < 1024

3. [tex]2^5 = 32[/tex]

[tex]5^2=25[/tex]

[tex]32\times25=800[/tex]

[tex]10^2 = 10\times10 = 100[/tex]

800 > 100

Hope this helps.

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