The length of a spring varies directly with the mass of an object that is aftached 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?
vx
3
S =
10
3
3
M =
S
10
m =
1
30
S​

Answers

Answer 1

Answer:

s = [tex]\frac{3}{10}[/tex] m

Step-by-step explanation:

Given 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 , thus

9 = 30k ( divide both sides by 30 )

k = [tex]\frac{9}{30}[/tex] = [tex]\frac{3}{10}[/tex]

s = [tex]\frac{3}{10}[/tex] m ← equation of variation


Related Questions

10) Can a triangle have two 90° angles?

Answers

Answer:

no

Step-by-step explanation:

a triangle can only have one right angle or it wouldn't be a triangle

Answer: No

Step-by-step explanation:

Only Quadrilaterals have 2 or more 90° Because 90° means an angle which looks like L and it is impossible for triangle to have 2 90°

Point A is at (-7,-9) and point M is at (-0.5, -3).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?

Answers

Answer:

(6,3)

Step-by-step explanation:

You can solve this by looking at the x and y coordinates independently.

The distance between -7 and -0.5 is 6.5.

The distance between -9 and -3 is 6.

Since point M is the midpoint, the distances between point A and point M should be the same, so you can literally just add the distances to the midpoint to find the other endpoint. This means that point B is located at (-0.5+6.5, -3+6) or (6, 3).

To check your work you can test the slope of the line and see that it is consistent from points A to B and from A to M.

[tex]\frac{(3--9)}{(6--7)}[/tex] = [tex]\frac{12}{13}[/tex] and [tex]\frac{(-3--9)}{(-.5--7)}[/tex] = [tex]\frac{6}{6.5}[/tex] which are both equal to ≈ .923077

Answer:

(6,3)

Step-by-step explanation:

Aby likes larger apple slices. She gets 6 slices from each apple. Complete the table that represents the proportional relationship.

Answers

Answer:

A=0 B=6 C=12

Step-by-step explanation:

If she gets 6 slices from each apple, then for A(which is 0 apples) you would get 0 slices. For B (which is 1 apple.) you would get 6 slices and for C (which is two apples) you would get 12 slices. I hope this helps!

Answer:

a=0

b=6

c=12

Step-by-step explanation:

4:24 is one of the ratios

lets use that as an example

divide both sides by 4 and you get

1:6

now lets use 3:18

divide both sides by 3 and you get

1:6

Now if you have 0 apples you have 0 slices

if you have one apple you get 6 slices...

because of the ratio 1:6 one apple=6 slices

now if you have 2 apples you have to times 1:6 by 2 which gives us 2:12 meaning you get 12 slices

See Attached Photo for question

Answer is:

A. f(–3) = –27, f(0) = –4, and f(–1) = 5
B. f(–3) = –27, f(0) = –4, and f(–1) = –5
C. f(–3) = –7, f(0) = –4, and f(–1) = –1
D. f(–3) = –7, f(0) = –0, and f(–1) = 5

Answers

Answer:

you attached this photo for and

The answer is B. f(-3)=-27, f(0)=-4, and f(-1)=-5

The perimeter of a triangle is 195 cm. The ratio of the measures of the sides is 3:5:7.
Find the measure of each side.
Shortest side?
Median side?
Longest side?

Answers

Answer:

Shortest side = 39

Median side = 65

Longest side = 91

Step-by-step explanation:

So here we have 3:5:7

And we keep adding on to it.

If two lines are crossed by a transversal and corresponding angles are equal, the lines are___.

parallel

perpendicular

similar

congruent

Answers

Answer:

parallel

Step-by-step explanation:

Corresponding angles are those which are in the same relative place between the cross-line and the parallel axes. You will see that the (corresponding) angles are identical if and only if the lines are parallel.

hope this helped!

The best and correct answer is parallel

The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08
ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.​

Answers

Answer:

[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]

Step-by-step explanation:

The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:

[tex]|m_{real} - m_{ideal}| \leq 0.08\,oz[/tex]

[tex]|m_{real} - 2.5\,oz| \leq 0.08\,oz[/tex]

There are two extreme cases:

[tex]m_{real,max} - 2.5\,oz = 0.08\,oz[/tex] and [tex]m_{real, min} - 2.5\,oz = -0.08\,oz[/tex]

[tex]m_{real, max} = 2.58\,oz[/tex] and [tex]m_{real,min} = 2.42\,oz[/tex]

Range of chocolate masses must be:

[tex]m_{real, min} \leq m_{real} \leq m_{real,max}[/tex]

[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]

Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?


A.

It is equal to 4 inches.


B.

It measures less than 4 inches.


C.

It measures more than 4 inches.


D.

It is 2.5 inches.

Answers

Answer:

C

Step-by-step explanation:

The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.

Please mark as Brainliest! :)

Have a nice day.

The third side of the triangle measures more than 4 inches.

What are the properties of triangle for it's side?The sum of the length of the two sides of a triangle is greater than the length of the third side. The difference between the two sides of a triangle is less than the length of the third side.

According to the given question we have,

Length of the two sides of a triangle are 8 inches and 12 inches.

Let the length of the third side be x inches.

Now, according to the properties of a triangle

"The difference between the two sides of a triangle is less than the length of the third side".

Therefore,

12 - 8 < x

⇒ 4 < x

⇒ The third side of the triangle is greater than 4 inches.

Hence, the third side of the triangle measures more than 4 inches.

Learn more about the properties of a triangle here:

https://brainly.com/question/10652623

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The Dodgers (D) and the Angels (A) won a total of 165 games during a regular season, and the Angels won 19 games more than the Dodgers.

How many games did each team win?

btw this is solving systems of equations

Answers

Answer:

Dodgers won 73 games while angels won 73 + 19 = 92  games.

Step-by-step explanation:

The Dodgers and the angels won a total of 165 games during a regular season. The angels won 19 games more than the Dodgers .

The both team won a total of  165 games but we weren't given the game each team won but the game each team won can be gotten from the question.

Let

number of game won by Dodgers = x

number of game Angels won = x + 19

The both of them won 165 game altogether. This means the sum of their individual games won is equals to 165. Therefore,

x + x + 19 = 165

collect like terms

2x + 19 = 165

2x = 165 - 19

2x = 146

divide both sides by 2

x = 146/2

x = 73

Dodgers won 73 games while angels won 73 + 19 = 92  games.

Helppppppppp please on this

Answers

Answer:

23 square units

Step-by-step explanation:

I just counted them because the area is the inside or the shaded region but your supposed to find the x and y values of each box multiply them and add them all up to get the answer

Answer:

The area is 23

Step-by-step explanation:

I just counted I didn't know what else to do.

a piano teacher has 4 1/2 hours available to teach in a night. each lesson will last 1 1/2 hours. how many lessons can the teacher schedule in a night?

Answers

Answer:

1 1/2+1 1/2=3+1 1/2= 4 1/2

3 clases in 1 night

Answer:She can do 3 lessons in one night

Step by step explanation:1 1/2+1 1/2=3+1 1/2= 4 1/2 just some simple additio,

1. Simplify. (-8x^3+4x+1)/(2x+1)

A.4x^2 - 2x+1

B.-4x^2+2x+1

C.4x^2+2x-1

D.-4x²+2x-1

Pls hurry I will give you brainliest

Answers

The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1

What is an equation?

An equation is an expression that shows the relationship between two or more variables and numbers.

Given the equation (-8x³ + 4x + 1) / (2x + 1), hence:

(-8x³ + 4x + 1) / (2x + 1) = -4x² + 2x + 1

The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1

Find out more on equation at: https://brainly.com/question/2972832

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What is 7/8 + 1/2 as a fraction

Answers

Answer:

11/8 is the answer as a fraction

The fraction value of 7/8+1/2 is 11/8

What is fraction ?

Fraction is a numerical value which has two parts. The bottom part is called denominator which indicates the no. of parts in which the whole is divided. And the top part is called numerator which indicates how many parts of the fraction are selected.

Example : 2/3 , where 2 is the numerator and 3 is the denominator.

What is the required fraction ?

The given sum is, [tex]\frac{7}{8}+\frac{1}{2}[/tex]  

Taking LCM of 8 & 2, which is 8,

                          = [tex]\frac{(7*1)+(1*4)}{8}[/tex]

                           = [tex]\frac{7+4}{8}[/tex]

                            = [tex]\frac{11}{8}[/tex]

∴ The required fraction is [tex]\frac{11}{8}[/tex]

Learn more about Fraction here :

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If LP = 15 and PR = 9, find LR. Explain.

Answers

Answer:

24

Step-by-step explanation:

LP = 15 on one side

LR= 9 on the other side

____________________|____________|

 P                                      L                            R

add them and PR is 24

15+9= 24

What Is The Value Of X In The Following Equation? 3x-4(x+1)+11=0

A. 8

B. 7

C. 15

D. 22

Answers

Answer:

B) 7

Step-by-step explanation:

Subtract 11 by both sides

3x - 4(x + 1) + 11 - 11 = 0 - 11

Simplify

3x - 4(x + 1) = -11

Distribute 4

3x - 4x - 4 = -11

Add 4 to both sides and combine like terms

-x - 4 + 4 = -11 + 4

-x = -7

Divide both sides by -1

x = 7

8.4^3×4.8^2=
can you pleas help​

Answers

Answer:

13655.90016

Step-by-step explanation:

[tex]8.4^3 \times 4.8^2 \\= 592.704 \times 23.04\\=13655.90016[/tex]

Carley’s progress from a 5-kilometer race is displayed in the graph below.



Based on the graph, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
50 minutes
45 minutes
35 minutes
20 minutes

Answers

Answer:

35 minutes

Step-by-step explanation:

Pls help tank you so much !!!!!

Answers

Answer:

A

Step-by-step explanation:

AnB means including the numbers that both the sets have.

What type of transformation does the arrow below depict?

A. Dilation
B. Reflection
C. Rotation
D. Translation

Answers

Answer:

C. Rotation

Step-by-step explanation:

Rotation is the movement of an object about a fixed point (center of rotation) either clockwise or in an anticlockwise direction. As seen from the image attached, the arrow represents that the object is rotated in an anticlockwise direction.

Translation transformation is the process of moving an object points in a particular direction at the same distance.

Dilation is the process of enlarging or reducing the size of an object.

Answer:

Rotation

Step-by-step explanation:

i need help figuring out the blank questions. i have been stuck on them all day

Answers

First blank: $57.112

Second blank: $29.832

Hope this helps!!

14) The ions Sr2+and PO43- form a salt with the formula
A) Sr2(PO4)2
O B) Sr(PO4)2
C) SrP04
D) Sr2P04
E) Sr3(PO4)2

Answers

Answer:

E

Step-by-step explanation:

Sr2+ po43- exchange the charges and write the salt

This composite figure is made of two identical pyramids
attached at their bases. Each pyramid has a height of 2
units.
Which expression represents the volume, in cubic units, of
the composite figure?
(16200.25)2))
1530.2574)
• 2{}(5)10.25)2))
21315360.2574)
0.25
O

Answers

Answer:

C. 2

Step-by-step explanation:

hope it answers your question ! if not lmk

Please help ASAP, dhejhehdidbdbfind

Answers

Answer:

[tex]x = 7 \: \: degrees[/tex]

Step-by-step explanation:

[tex]7x + 9 = 8 x + 2 \\ 7x - 8x = - 9 + 2 \\ - x = - 7 \\ x = 7 \: degrees[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

_____________________________________

Hey!!!

Solution,

7x+9=8x+2[ being corresponding angles]

or,7x-8x=2-9

or,-x=-7

X=7

The value of X is 7

Hope it helps

Good luck on your assignment

Stay Safe...

____________________________________

PLEASE ANSWER, EASY QUESTIONS, WILL GIVE BRAINLIEST IF RIGHT 1. Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange.
Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22
What is the experimental probability that Jenny will pull out a pink tile? 22 over 50
22 over 28
24 over 50
4 over 50

2. Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 6 red and 9 yellow beads. Based on the result, what is most likely the number of red beads in the bag?
10
20
30
40

Answers

Answer:

Jenny Question Answer: 4 over 50

Jake Question Answer: 20 beads are red

Step-by-step explanation:

Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag

Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.

20 of the beads are red

I hope I helped, please correct me if I'm wrong!

PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!

Write in decimal notation.

Answers

Answer:

5.571349 x 10^3

or

5571.349

Answer:

34720.341

Step-by-step explanation:

31x1120.011 = 34720.341

For the linear equation y=-10+5x the x intercept is ?

Answers

Answer:

(2, 0)

Step-by-step explanation:

X intercept is when y = 0.

0 = -10 + 5x

5x = 10

x = 2

Find the slope and y-intercept of the linear equation y=8−3x

Answers

Answer:

Slope: -3

y-intercept: (0, 8)

Step-by-step explanation:

The equation y = mx + b is used for all linear equations. In this equation, m = slope and b = y-intercept.

In order to find these two variables, you must put the equation given into the y = mx + b format.

y = 8 - 3x becomes y = -3x + 8

That means that m = -3 = slope and b = 8 = y-intercept.

I hope this helps!

Solve for x: 3.2x - 7.4 = -7.8x + 3.6
1.
1
2.
0.8
3
3.8
4.
0.5

Answers

Answer:

The value of x is 1.

Step-by-step explanation:

You have to move all the x-terms to one side and the unrelated values to other side :

[tex]3.2x - 7.4 = - 7.8x + 3.6[/tex]

[tex]3.2x + 7.8x = 3.6 + 7.4[/tex]

Next, you have to add up :

[tex]11x = 11[/tex]

Lastly, you have to divide it by 11 :

[tex]x = 11 \div 11[/tex]

[tex]x = 1[/tex]

help willl give brainliest

Answers

Answer: 2/9

Step-by-step explanation:

The probability of landing on blue and green in any order is 2/9 because we have two probable colors and nine total possibilities.

The answer is 2/9 I believe because you can get BG and GB but never with the color yellow

a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14800 dollars

Answers

Answer:

10.1 years.

Step-by-step explanation:

It is given that,

Principal = 9000

Rate of interest = 5%

No. of times interest compounded = 2 times in an year

Amount after certain time = 14800

The formula for amount:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.

Substitute the given values in the above formula.

[tex]14800=9000(1+\frac{0.05}{2})^{2t}[/tex]

[tex]\frac{14800}{9000}=(1+0.025)^{2t}[/tex]

[tex]1.644=(1.025)^{2t}[/tex]

Taking log both sides.

[tex]\log(1.644)=\log(1.025)^{2t}[/tex]

[tex]\log(1.644)=2t\log(1.025)[/tex]    [tex][\because \log a^b=b\log a][/tex]

[tex]\frac{\log(1.644)}{2\log(1.025)}=t[/tex]

[tex]t=10.066[/tex]

[tex]t=10.1[/tex]

Therefore, the required time is 10.1 years.

Answer:

9.4

Step-by-step explanation:

The correct answer is actually 9.4. Delta Math corrected me afterwards.

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Find the volume of the pyramid. Charles wants to analyze his last 9 math test scores with abox plot to see how spread apart they are.Arrange the scores in order, from lowest (on the left) tohighest 3.How do memories and childhood experiences shape a person's identity later in life?Describe a memory from your childhood that you consider important to who you are today. In the U.S., the media uses results of exit polls to predict the outcome of elections. These exit polls ask people who just voted during election day questions such as who they voted for and why did they vote for them. A number of countries have outlawed exit polls because they believe that exit polls can affect the outcomes of elections. For example, voting precincts in the West Coast (e.g., California, Washington, Oregon) close later than those in the East Coast (e.g., Virginia, New York, New Jersey). Because of this fact, people in the West Coast may end up deciding not to vote because the exit poll results already predicted a winner. In this case, people may feel like their votes will not matter at all, so they don't end up casting their votes. As such, there is a growing desire among people in the U.S. to restrict the use of exit polls. Which of the following statements, if true, would most strengthen the above argument?1. The media has stopped announcing results of exit polls until all voting precincts are closed.2. Countries that have outlawed exit polls have higher voting participation rates than countries that allow exit polls.3. Exit poll results have proven to be accurate predictors of election results. Graph the equation y = 1/3x - 5 In which country was Sidhartha Guayana born? Two sides of an obtuse triangle measure 10 inches and 15 inches. The length of longest side is unknown. What is the smallest possible whole-number length of the unknown side? 18 inches 19 inches 24 inches 25 inches Which multimedia aid provides the best support for thisclaim?a brief video clip of a medical school professordiscussing a specific case of using virtual realitya podcast about the origins of virtual reality technologyat medical schoolsa photo showing differences between virtual realityequipment for gamers and medical studentsa student discussion about the pros and cons of virtualreality in medicine Write a letter to the Editor in about 120-150 words to the Times of India' regarding the frequent traffic jams on the roads of your city because of poor road conditions. You are Priyank/ Priya Thomas, Mahatma Gandhi Rd, Andheri West, Mumbai. What is an aqueduct? Water channelSpecies of duckAncient structureWater parkJohn Smeaton built a lighthouse out of lime after previous engineers built them out of wood. What part of the engineering design process is this? *25 pointsIterateBrainstormIdentifyDefineWhich of the following is the first city with a working sewer system?25 pointsNYCLondonMilanBeijing Natasha wants to find out if the neighborhood supports lowering the speed limit on the street in front of her school. Which is a valid sample for the survey? students in Natashas social studies class parents who live in a town 15 miles away from Natashas school the first 5 drivers who drive past Natashas school one morning thirty residents who live within a 2-miles radius of Natashas school Some theorists have argued that modernity and post-modernity have brought with them a decline in communities. Do you agree or disagree? The distance covered by a car at a time, t is given by x = 20t + 6t4, calculate(i) the instantaneous velocity when t = 1 (ii) the instantaneous acceleration when t =1 Given the choice of 4 bases and the number of bases needed to make up a codon, how many possible codons are there? 16 23 64 128 Judging from what you have read about the Chinese government, do you think Hong Kong will keep its freedoms under Chinese rule? Explain. ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. I say no guessing because people usually guess on my questions. Scores of students: 30 35 40 45 50 6No of students: 8 12 15 6 5 4.find the median scoresand the modal score Square root of 0.925 Answer these questions.What is the value of x, if 105% of 90 is equal to 200% of x? What geographic feature made early Americans consider isolationist policies? A. having deserts on the Mexican border B. having fertile agricultural land on the Atlantic coast C. having the Rocky and Appalachian Mountains as shields D. having a large ocean on each side of the country