The length of a spring varies directly with the mass of an object that is attached to it. When a 30-gram object is attached,
the spring stretches 9 centimeters. Which equation relates the mass of the object, m, and the length of the spring, s?
3
O S =
m
x
о
S =
10
3 m
3
O m= 10
Om =
30$
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Answers

Answer 1

Answer:

s = 0.3m

Step-by-step explanation:

Given that s varies directly with m then the equation relating them is

s = km ← k is the constant of variation

To find k use the condition

s = 9 when m = 30

9 = 30k ( divide both sides by 30 )

[tex]\frac{9}{30}[/tex] = k

s = [tex]\frac{9}{30}[/tex] m or

s = 0.3m ← equation of variation


Related Questions

Line q passes through (-5.5) and is parallel to the
line 2x + y + 1 = 0
the slope of line q is

Answers

Answer:

the slope does not change as it is parallel so the slope is -2

(3x-8) (2x+12) whats the answer

Answers

6x^2+20x-96 is the answer

Answer:

6x^2 + 20x - 96

Step-by-step explanation:

FOIL!!! 3x times 2x is 6x^2,

3x times 12 is 36x,

-8 times 2x is -16x

12 times -8 is -96

36x-16x= 20x

I need help asapppppoooo

Answers

Answer:

This looks rly familiar

Step-by-step explanation:

I took this test and the answer is C

-x + 4 = 32
Solving for X

X=-28
X=-36
X=28
X=36

Answers

Answer:

X=28

Step-by-step explanation:

WILL BRAINLIEST WHOEVER ANSWERS IN 2 MINUTES!

An auto parts manufacturer throws out gaskets with weights that are not within 0.06 pound of the mean weight of the batch. The weights (in pounds) of the gaskets in a batch are 0.58, 0.63, 0.65, 0.53, and 0.61. Which gasket(s) should be thrown out?

Answers

Answer:

0.53 Pounds I think

Step-by-step explanation:

I hope this helps!

help asappppp? i’m having trouble on wat the 1/4 point is

Answers

Answer:

  (-14, 5.5)

Step-by-step explanation:

Perhaps the easiest way to find the 1/4 point is to find (x, y), then find the midpoint between that and M.

  (x, y) = 2M -(13, 25) = 2(-5, 12) -(13, 25) = (-23, -1)

Then the 1/4 point is ...

  ((-23, -1) +M)/2 = ((-23, -1) +(-5, 12))/2 = (-28, 11)/2 = (-14, 5.5)

_____

If we call the end points A(x, y) and B(13, 25), then we know ...

  M = (A+B)/2

  A = 2M -B . . . . we'll need this in a bit

and the 1/4 point Q is such that ...

  (Q -A)/(B -A) = 1/4

  4Q -4A = B -A . . . . cross multipliy

  Q = (B +3A)/4 = (B +3(2M -B))/4 = (6M -2B)/4 . . . . solve for Q

  Q = (3M -B)/2 . . . . reduce the fractions

  Q = (3(-5, 12) -(13, 25))/2 = (-28, 11)/2 = (-14, 5.5) . . . as above

PLS help me answer this question if correct I'll make brainylist!!!!!​

Answers

Answer:

The answer is the third number line

Step-by-step explanation:

First let's find the solution to the inequality

4x - 3 is less than 5

    +3                    +3

4x is less than 8

4x/4 is less than 8/4

x is less than 2

Note: If it is less than, it will have an open circle pointing to the left on a number line.

The answer is the third number line

Hope this helps!

Answer:

option 3

Step-by-step explanation:

4x-3 < 5

1) we first solve the equation and get x < 2

2) we already can eliminate options 1 and 2

3) and we know the answer choices will be less than 2 so the answer is 3 becuase of process of elmination.

Stuck on this question. Need help! (Will mark as Brainliest if correct)

Answers

the answer seems like a lot! good luck !

whats the square route of 4

Answers

the square root of four is 2

1.) Angle 1 and angle 2 are complementary. If the measure of angle 1 is (8x - 6) and the measure of angle 2 is (14 + 8), find the value of x and the measure of angle 1.

Answers

Answer:

If the value of second angle is 14x + 8 then :

x = 4

angle 1 = 26°

Nicholas’s school is located at ____.
A. (0, 0)
B. (1, –1)
C. (–2, – 2)
D. (3, 2)

Answers

Answer:

D

Step-by-step explanation:

cuz it is

HELPP 10 POINTS!! Find the slope of the line on the graph.
Write your answer as a fraction or a whole number, not a mixed number or decimal.

Answers

Answer:

2/3

Step-by-step explanation:

To find the slope use rise over run between two points. You start at one point and count up. Then you go right until you reach your second point. You can also use this formula in the screen shot below. the first point is (x1, y1) the second point is (x2, y2)

In a sterile environment, a single cell of bacteria is placed on a sandwich for an experiment. The amount of bacteria doubles each hour.

Complete the following sentence that describes the relationship between the units of bacteria grown and the time required for its growth, t, in hours.

After
hour(s), the bacteria count on the sandwich reaches 2,048 units.

Answers

Answer:

11 hours

Step-by-step explanation:

1 doubled is 2. 2 doubled is 4. 4 doubled is 8. 8 doubled is 16. 16 doubled is 32. 32 doubled is 64. 64 doubled is 128. 128 doubled is 256. 256 doubled is 512. 512 doubled is 1024. and lastly 1024 doubled is 2048

Gerardo claims the figures shown in the graph are similar. Write a series of transformations with explanations to support Gerardo’s claim. *

Answers

Answer:

A dilation by 2 and a rotation about the origin at 90 degrees counter-clockwise

Step-by-step explanation:

Already taken geometry.

what is the vertex of y=2x^2-8x+3?
for graphing quadratics in standard form ​

Answers

Answer:

vertex is 2

Step-by-step explanation:

vertex is 2 because the formula is -b/2(a)

so if we substitute it is -8/2(2)

simplify it will be 2

Mary owns a coffee shop. She charges $4.50 for a cup of coffee, and it costs her $1.25 to make each cup of coffee plus a $75 a day for other expenses. Write and solve an equation to determine how many cups of coffee, c, will Mary need to sell to break-even?

Answers

Answer:

Approximately 23 cups of coffee

Step-by-step explanation:

Break even = Fixed cost/Selling price - variable cost

Fixed cost = $75

Selling price = $4.50

Variable cost = $1.25

Break even = $75/$4.50 - $1.25

= 23.076923077

Approximately = 23

Therefore, Mary has to sell approximately 23 cups of coffee daily in order to break evem

Jason ate 2/3 of the pizza. What part of the pizza is left? (split in 6)

Answers

Answer:

4

Step-by-step explanation:

2/3 * 6/1 = 12/3

12/3 = 4/1

The part of the pizza that is left = 2 from the 2/3 pizza eaten by Jason.

What are word problems in mathematics?

Word problems in mathematics are the use of arithmetic and mathematical operations to solve problems real-life problems.

From the given information, Let us assume that the total amount of the pizza is 1.

If Jason ate 2/3 of the pizza, then the part of the pizza that is left is:

[tex]\mathbf{=(1 - \dfrac{2}{3})}[/tex]

[tex]\mathbf{=(\dfrac{3 -2}{3 })}[/tex]

[tex]\mathbf{=\dfrac{1}{3 }}[/tex]

Now, we are to split the remaining part of the pizza into 6 parts;

i.e.

[tex]\mathbf{=(\dfrac{\dfrac{1}{3}}{6})}[/tex]

[tex]\mathbf{=(\dfrac{1}{3}}\times \dfrac{6}{1})}[/tex]

= 2

Learn more about solving word problems in mathematics here:

https://brainly.com/question/13818690

#SPJ2

Can someone please help me with these questions?

Answers

Answer:

7. m<RST = 138°

8. m<MNP = 56°

9. m<WXZ = 130°

10. m<ABC = 118°

Step-by-step explanation:

7. m<RST = 138° (alternate exterior angles are congruent)

8. m<MNP = (a + 28)°

(a + 28)° = 2a° (alternate interior angles are congruent)

a + 28 = 2a

Collect like terms

28 = 2a - a

28 = a

m<MNP = (a + 28)°

Substitute a = 28

m<MNP = (28 + 28)° = 56°

9. m<WXZ = 5y°

5y = (2y + 78)° (alternate interior angles are congruent)

5y = 2y + 78

Collect like terms

5y - 2y = 78

3y = 78

Divide both sides by 3

y = 26

m<WXZ = 5y°

Plug in the value of y

m<WXZ = 5(26)

m<WXZ = 130°

10. m<ABC = (3n - 47)°

(3n - 47)° + (n + 7)° = 180° (same side interior angles are supplementary)

3n - 47 + n + 7 = 180

Collect like terms

4n - 40 = 180

Add 40 to both sides

4n = 180 + 40

4n = 220

Divide both sides by 4

4n/4 = 220/4

n = 55

m<ABC = (3n - 47)°

Plug in the value of n

m<ABC = 3(55) - 47 = 165 - 47

m<ABC = 118°


13. A refrigerator has a variety of drinks.
The contents are shown below. If one drink
is picked randomly, then which of the
following is not true?
A. You are twice as likely to select a cola than
a water.
B. You are half as likely to select a lemonade
than o water
C. You are more likely to select a cola than a
water or a lemonade.
D. You are twice as likely to select a water
than a cola.

Answers

Answer: D

Step-by-step explanation:

if you where twice as likely to select a water than a cola, they would be flip flopped.

why is it not poping up???

Answers

Answer:yes

Step-by-step explanation:

idoooncxmm

Answer:

yes

Step-by-step explanation:

non

Manager Roberts watched from the dugout as her baseball team took the field. It was the ninth inning and her players were locked in a 9-9 tie with their opposers. Roberts studied the nine players she had positioned on the field: Simmons, Roe, Flow, Schmoe, Schmidt, Whitt, Kitt, Kent, and Kowalski
Her attention soon became absorbed by the curious fact that her nine players wore on their uniforms: 1,2,3,4,5,6,7,8, and 9. The more she looked at his players and their numbers, the more he noticed. Roberts' observations are given below as clues, from which you should be able to deduce who played which position, wearing which number​

Answers

Answer:

Follows are the solution to this question:

Step-by-step explanation:

Some of the data is missing in the question, which is defined in attached. please find it.

For point 1: P - 8- Roe  

For point 2:  C - 1- Schmoe

For point 3: 1B - 4 - Blow

For point 4: 2B - 2 - Kent

For point 5: SS - 9 - Kowalski

For point 6: 3B - 3 - Simmons

For point 7: LF - 5 - Schmidt

For point 8: CF - 6 - Kitt

For point 9: RF - 7 - Whitt

Can you help guys I’m stuck on it

Answers

Answer:

See Below

Step-by-step explanation:

Ok, so congruent means the same.

Using this knowledge, we can clearly see that the bottom pair are not congruent.

For the first pair, let compare the slopes and lengths of the line segments.

(If you have wax paper, you can trace A and see if it matches B)

GH <=> PQ    = 2 blocks

LG <=> UP    =  5/1 slope

KL <=> TU     = 2 blocks

JK <=> ST      = 1 block

IJ <=> RS        = 1/1 slope

HI <=> QR        =3 blocks

As you can see, all the corresponding side lengths/ slopes are the same.

This means the first pair are congruent.

Shawna and her best friend Keisha go shopping. The function p(x) = 3x4 + 2x3 − 4x2 + 21 represents how much money each girl spent based on the number of hours they were shopping. If Shawna and Keisha each go shopping for 2 hours, how much money did they spend together? $37 $69 $101 $138 Question 9(M

Answers

Answer:

$69

Step-by-step explanation:

Given the amount of money each girl spent based on the number of hours they were shopping modeled by the function p(x) = 3x4 + 2x3 − 4x2 + 21

To get how much they spend together if each go shopping for 2hours, we will substitute x = 2 into the given function as shown:

p(2) = 3(2)⁴ + 2(2)³ − 4(2)² + 21

p(2) = 3(16) + 2(8) − 4(4) + 21

p(2) = 48 + 16 − 16 + 21

p(2) = 48+21

p(2) = 69

Therefore they spend $69 together

Answer: 138$

Step-by-step explanation: 69$ is how much 1 girl spends. They both spend 138%$. Also, I took the test.

A square has a side length of (x+3) centimeters. If the perimeter is 24 centimeters, what is the side length of the square? (Hint: to find
the perimeter of a square, you add up all the lengths of the sides).
A.Зcm
B.7cm
C. 9cm
D.14cm

Answers

Answer:

3 cm

Step-by-step explanation:

4(x + 3) = 24

4x + 12 = 24

4x = 12

x = 3 cm

**multiply by 4 because a square has 4 equal sides***

Answer:

3

Step-by-step explanation:

A square has 4 equal sides

so

4(x+3) = perimeter = 24

4x+12 = 24

4x = 12

x=3

Find the distance between the two numbers on the number line.
1.8
12.
-2.5
-3
-2
1
0
1
2
F. 4.1
G. 0.7
H. 4.3
I. -0.7

Answers

Answer:

Step-by-step explanation:

A simple way to calculate the distance between numbers on a number line is to count every number between them. A faster way is to find the distance by taking the absolute value of the difference of those numbers. Absolute value of a number on a number line is its distance from 0 on the number line .

Write a quadratic function in standard form with zeros 5 and 6

Answers

Answer:

[tex] {x}^{2} - 11x +30[/tex]

Step-by-step explanation:

Zeros = 5 & 6

Let the variable of the quadratic function be x

Therefore, (x - 5) & (x-6) are factors

[tex](x - 5)(x - 6) \\ \\ = {x}^{2} - (5 + 6)x + ( - 5)( - 6) \\ \\ = {x}^{2} - 11x +30 \\ is \: the \: required \: quadratic \: \\function.[/tex]

Solve the inequality -2(4x-2)<-8x+4

Answers

Answer:

There are no solutions.

Step-by-step explanation:

−2(4x−2)<−8x+4

Step 1: Simplify both sides of the inequality.

−8x+4<−8x+4

Step 2: Add 8x to both sides.

−8x+4+8x<−8x+4+8x

4<4

Step 3: Subtract 4 from both sides.

4−4<4−4

0<0

PLEASE HELP

What would be the title of this information on a line graph?​

Answers

Answer:

temperature each day

Step-by-step explanation:

gxhvyendudnr gfchjdv

Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system: Average Distance and Variation Planet Name Average Distance Variation Mercury 36.0 million miles 7.39 million miles Venus 67.2 million miles 0.43 million miles Earth 93.0 million miles 1.55 million miles Mars 142 million miles 13.2 million miles Jupiter 484 million miles 23.2 million miles "Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times. a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process. b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences.

Answers

9514 1404 393

Answer:

  a) |e-93|≤1.55; 91.45 ≤ e ≤ 94.55

  b) see below

Step-by-step explanation:

a) Let e represent the distance from the sun to the earth in millions of miles. The table tells us the average distance is 93.0 million miles, and the difference from that value can be as much as 1.55 million miles. The corresponding inequality is ...

  |e-93.0| ≤ 1.55

We can solve this by rewriting it as a compound inequality.

  -1.55 ≤ e -93.0 ≤ 1.55

  91.45 ≤ e ≤ 94.55 . . . . . . add 93

__

b) An absolute value equation will give a finite number of particular values as its solution. The question asks for a range of values. An absolute value inequality is well-suited to providing a solution that is a range of values.

Which expression is 3 times as large as the expression 610 – 97?
Choose 1 answer:
3 x (610 – 97)
3+ (610 - 97)
3 x 610 – 97

Answers

The first option is correct
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