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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yo

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Step-by-step explanation:

I think it is 44.

if wrong forgive me.

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Answer:

44

Step-by-step explanation:

1. To round a number to the nearest 10, look at the ones-digit. If the digit is 5 or more, round up (raise the score). If the digit is 4 or less, round down (let it rest).

2. The ones-digit in 44 is 4 or less, meaning we round down. The 4 in the ones-place becomes zero, and therefore, rounds to 40.

Therefore, the answer is 44.

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this ain’t hard dw I’ll give you the answers :)

Here ya go :)

Answer:

1. 4.05 x 10^-4

2. 49,345,000

3. 2.357897 × 10^9

5) Add using Place-Value diagrams: 215 six + 43 six

Answers

As I understand, we want to perform the given sum by adding the correspondent place values.

Using this method, we will see that the value of the sum is 258.

First, we define the place values as the value that each "position" has, where the reference is the decimal point.

The first place at the left of the decimal points is the units digit.

The second is the tens digit, and so on.

With this, we can rewrite te twi given numbers as:

215 = 2*100 + 1*10 + 5*143 = 4*10 + 3*1

Then the sum can be done as:

215 + 43

(2*100 + 1*10 + 5*1) + ( 4*10 + 3*1)

2*100 + (1 + 4)*10 + (5 + 3)*1

2*100 + 5*10 + 8*1 = 258

Then we have:

215 + 43 =  258

If you want to learn more, you can read:

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If A = {1, 4, 5, 6, 7}, B={1, 2, 5, 8, 9} and C={3, 4, 5}
Then find A∪ B ∪ C

Answers

Answer:

A U B U C = {1,2,3,4,5,6,7,8,9}

Step-by-step explanation:

This is the correct form

Answer:

A={1,4,5,6,7}

B={1,2,5,8,9}

C={3,4,5}

AUBUC= all elements of A,B,C

={1,2,3,4,5,6,7,8,9}

Jeanette obtained 32% for her statistics test, which was out of a total of 300 marks. How much should she score in the computer science test that is out of 200 marks in total if she is to get a proportionally weighted average of 46%?

Answers

Using weighted average, it is found that she should score 67% on the computer science test.

The weighted average is given by each proportion multiplied by it's score.

In this problem, the proportions and scores are given by:

Proportion of 32% = 0.32 for a score of 300.Proportion of x for a score of 200.Proportion of 46% = 0.46 for a score of 300 + 200 = 500.

Then

[tex]0.32(300) + 200x = 0.46(500)[/tex]

[tex]200x = 0.46(500) - 0.32(300)[/tex]

[tex]200x = 134[/tex]

[tex]x = \frac{134}{200}[/tex]

[tex]x = 0.67[/tex]

She should score 67% on the computer science test.

A similar problem is given at https://brainly.com/question/24855677

What ratio is equivalent to 9:6 ?

12:8
7:4
3:1
15:10

Answers

Answer:

15:10

Step-by-step explanation:

15:10 can be reduced into 3:2 by dividing with 5

and 9:6 can be reduced to 3:2 by dividing with 3

keep smiling.

Answer:

D

Step-by-step explanation:

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Answer:

OPN and QPS are corresponding angles

< OPN and < RSP are corresponding angles.


Corresponding angles are two angles that are on the same side of the transversal, one an interior angle (between the lines), the other an exterior angle that were not adjacent.

< OPN is the exterior angle, and < RSP is the interior angle.

Your business requests a 3-month loan for
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interest paid = $ [?]
=
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Answer:

im preety sure its 561500

Step-by-step explanation:

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IF YOU ARE REALLY GOOD A MATH THEN PLEASE ANSWER THIS !!!
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c-9

to find the amount of parents in the room we'd have take away the amoutn if children in the room from the total amount of people

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thus, your expression to represent the amount of parents would be

c-9

Hope this helped you- have a good day bro cya)

Nick will apply for a business loan for his toy company. The loan officer asked Nick to determine the
company's current value and growth for the next few years. Nick projected a steady growth rate for his
toy business.

Is Nick's model linear or exponential? How do you
know?

Year Project Value
0 $25,000.00
1 $26,250.00
2 $27,562.50
3 $28,940.63
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Answer:

Dividing the current value by the previous value ALWAYS equals 1.05.

Since the growth rate is constant, it is linear.

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

The relationship is linear when the rate of change is constant. It means the sequence of the dependent variable forms an arithmetic sequence.

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Answer:

No, the HOA president was wrong because both murder and ice cream sales spiked during the summer months but slowly decreased during months in the spring, fall and winter times. This is an example of causation.

Step-by-step explanation:

I wouldn't put exactly that because i put that on mine but here's an idea!

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Have a nice day/night!

A skier is trying to decide whether or not to buy a season ski pass. A daily pass costs ​$69. A season ski pass costs ​$350. The skier would have to rent skis with either pass for ​$25 per day. How many days would the skier have to go skiing in order to make the season pass less expensive than the daily​ passes? The skier would have to go skiing nothing days. plz answer right and give more info on how u got the answer ty

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Divide the season pass cost by the daily capstone:

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They would have to ski 6 days for the season pass to be less expensive

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Step-by-step explanation:

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For question 1 simplifying integer exponents :
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Answer:

Shape: Not sure what to put

Domain: ( -oo, oo )

Range: ( -oo, oo )

Locater point: ( 0, 0 )

Step-by-step explanation:

Shape - You have the shape on the graph

Domain and Range - Both go on forever since there is no hole/interruption

Locater Point: I would say origin because it is the closest thing to a vertex, which is an example of a locater point.

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Brainliest please?

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It fell by 19%
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Answers

Answer:

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Step-by-step explanation:

4x+2y=6

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Answers

Hi,

Recall that the area of a parallelogram is the product of the base b and the height or "altitude" h. So the formula is : b * h. b = 20 here, and h = 6, so we get : 20 * 6 = 120.

Now we have to compute the area of the semicircle, remember the formula for the area of a circle is : πr² where r is the radius of the circle. If we watch the figure, we already have the value of the diameter d = 8. So the radius is equal to half the diameter : r = 8 /2 = 4

Now applying the formula we get : πr² = π * 4² ≈ 50.3 rounded to the nearest tenth place.

But we don't wont the area of the circle, we want half the area of it, since it's a semicircle : πr² / 2 ≈ 25.1 rounded to the nearest tenth place.

Now to get the whole area of the figure, we need to sum the area of the parallelogram with the area of the semicircle : 120 + 25.1 ≈ 145.1 rounded to the nearest tenth place.

Good Luck

what is rhe vertex of the graph of the function f(x)=x²+6x+9​

Answers

what is rhe vertex of the graph of the function f(x)=x²+6x+9

What is the slope of the line that contains these points

Answers

Answer:

Slope = - 5

Step-by-step explanation:

Let,

x1 = 13

x2 = 14

y1 = 11

y2 = 6

Formula : -

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

Slope = ( 6 - 11 ) / ( 14 - 13 )

          = - 5 / 1

Slope = - 5

Answer:

[tex]\boxed{\sf slope:-5}[/tex]

Step-by-step explanation:

Slope :

[tex]\boxed{\sf m=\cfrac{rise}{run} =\cfrac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\sf ^*m=slope[/tex]

[tex]\sf (x_1, y_1): first \: coordinates[/tex]

[tex]\sf (x_2, y_2): second\: coordinates[/tex]

___________________

[tex]\sf \left(x_1,\:y_1\right):\left(13,\:11\right)[/tex]

[tex]\sf \left(x_2,\:y_2\right):\left(14,\:6\right)[/tex]

[tex]\sf slope\:(m)=\cfrac{6-11}{14-13}[/tex]

[tex]\sf slope\:(m)=-5[/tex]

____________________

Please Help ASAP will give a brainliest the questions are in the photos
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Answer:

its should almost be certainly be A

Step-by-step explanation:

Helppppppp plzzzzzzz

Answers

Answer:

102°

Step-by-step explanation:

Angles in a straight line is added up to 180°

So,

Angle 1 + Angle 2 = 180°

Given that,

Angle 2 = 78°

We can find angle 1

Let us find,

Let the angle 1 be x

[tex]x+78=180\\x=180-78\\x=102[/tex]

As a and b lines are parallel,

Angle 1 = Angle 5 (Corresponding angles)

Also we already found the angle 1

So,

Angle 5 = 102°

Hope this helps you.

Let me know if you have any other questions :-)

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