Write an equation of the line containing the point (2,5) and perpendicular to the line 3x - 2y = 5.​

Answers

Answer 1

Answer:

y = (-2/3)x + (19/3)

Step-by-step explanation:

3x - 2y = 5

-2y + 3x = 5

      -3x        -3x

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

-2y = -3x + 5

-2      -2    -2

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

       3            5

y = -------x - -------

       2            2

                            -2

Perpendicular:  -------- x

                             3

                     -2

(2, 5);  m =  --------

x₁ y₁               3

y - y₁ = m(x - x₁)

y - 5 = (-2/3)(x - 2)

y - 5 = (-2/3)x + (4/3)

   +5                 +5

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

y = (-2/3)x + (19/3)

I hope this helps!


Related Questions

Ernesto guesses there are 69 marbles in a jar, but there are actually 60.

What is the percent error in Ernesto's guess?

Answers

Answer:

15%

Step-by-step explanation:

Since the problem is to find how much 69 is as a percent if 60 is 100%, we can use a rule of three, simple, direct proportion to do it:

60 = 100%

68 = x

x = 69x100/60

x = 115

That means 69 is 115% of 60, which means that the error is of:

115 - 100 = 15%

Hope this helps, have a great day! :D

Suppose you want to reduce the amount of sugar in your cookie recipe. You decide to subtract ⅛ of cup of sugar from the original amount of ¾ of a cup. How much sugar is now in your recipe? Show your work using two different methods.

Answers

The amount of sugar in final recipe will be 5/8

What are fraction?

Fractions are used to represent smaller pieces (or parts) of a whole.

Given that, You decide to subtract ⅛ of a cup of sugar from the original amount of ¾ of a cup.

3/4-1/8 = 5/8

Hence, The amount of sugar in final recipe will be 5/8

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How do you solve 11=2B+17, what is B

Answers

Answer:

b=-3

Step-by-step explanation:

11=2b+17

subtract 11 from both sides

then you get 2b+6=0

so b=-3

Answer: -3

Step-by-step explanation:

Hey! Here's a simple solution -

Step 1 - Subtract 17 from both sides -

11 - 17 = 2B + 17-17

-6 = 2B

Step 2 - Divide both sides by 2

-3 = B

B= -3

Hope this helped you! Peace out!

all of the following increase the width of a confidence interval except a. decreased sample size b. increased sample size c. increased confidence level d. increased variation

Answers

The width of a confidence interval increase except increased sample size , the correct option is (b) .

In the question,

it is asked that which option will decrease the width of a confidence interval ,

we know that the ,

the decrease in sample size increases the width of the confidence interval , and

the increased confidence interval also leads to increase in width of confidence interval , and

the increase in variation also leads to increase in the width of the confidence interval .

So , the only option that decreases the width of the confidence interval is increased sample size

that is increase in sample sizes causes smaller confidence interval.

Therefore , the correct option is (b) .

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a survey that found that 351 of 547 business travelers use a laptop computer on overnight business trips. based on this survey, what is the sample proportion of business travelers who use a laptop computer on overnight business trips? (round your answer to four decimal places.)

Answers

The sample proportion of the business travelers who use a laptop computer on overnight trips is 0.6417.

Given:

a survey that found that 351 of 547 business travelers use a laptop computer on overnight business trips.

we are asked to find the sample proportion based on this survey, who use a laptop computer on overnight business trips = ?

sample proportion:

The sample proportion (p) indicates the percentage of people in a sample who exhibit a particular quality or attribute. Divide the number of individuals (or items) who have the desired attribute by the overall sample size to obtain the sample proportion.

P = X/N

P = 351/547

P = 0.641681

round off to four decimal places.

P = 0.6417

Hence we get the sample proportion as 0.6417

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a family begins a car trip at 2:00pm. at 5:00pm, the car has traveled a total of 80 miles. use the mean value theorem to explain why

Answers

In one hour, the car covered a distance of 26.66 miles

Given,

The time when the trip begins = 2.00 pm

Distance travelled till 5.00 pm = 80 miles

Here,

Mean value Theorem;-

The Mean Value Theorem says that there exists a point c in the interval (a, b) such that f'(c) equals the function's average rate of change throughout [a, b] if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b).

The Mean Value Theorem is as follows. F is constant over I if f′(x)=0 over a period I. If f′(x)=g′(x) over I for two differentiable functions f and g, then f(x)=g(x)+C for some constant C.

Here,

2 pm to 5 pm = 3 hours

80 miles in 3 hours

That is,

80/3 = 26.66 miles per hour

That is,

The car travelled a distance of 26.66 miles in an hour.

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I need help with this please asap ​

Answers

Answer:

estimate - 455

actual sum 376

Jordan and his children went into a grocery store and he bought $13.50 worth of apples and mangos. Each apple costs $1.50 and each mango costs $0.75. He bought 6 more mangos than apples. Determine the number of apples and the number of mangos that Jordan bought.

Answers

The number of apples and the number of mangos that Jordan bought is

8 apples and 2 mangoes

How to find the amount Jordan bought

The worth of apple and mango is $13.50

Each apple costs $1.50 and each mango costs $0.75

let the amount of apple by x then amount of mangoes be y. such that

1.50x + 0.75y = 13.50

6 more mangoes than apples this means that

x = y + 6

x - y = 6

the two equations formed are

1.50x + 0.75y = 13.50

x - y = 6

solving the simultaneous equation gives

x = 8

y = 2

The number of apples bought is 8  and the number of mangoes bought is 2

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ABC is congruent to what by what

Answers

Answer:

Step-by-step explanation:

Since two angles of △ABC are congruent to two angles of △PQR, the third pair of angles must also be congruent, so ∠C≅∠R, and △ABC≅△PQR by ASA. The corresponding congruent angles are: ∠A≅∠P, ∠B≅∠Q, ∠C≅∠R. The corresponding congruent sides are: AB ≅ PQ, BC ≅ QR, AC ≅ PR.

Assume the birth of a boy or a girl is equally likely. The probability that a single child is born a girl is one-half. What is the probability that the next child born to the same familiy will also be a girl?.

Answers

There is a 1/4 probability that the family's next child will be a girl.

What is probability?

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.

An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

So, the probability that the next child born will also be a girl:

We know that:

There is a 50% chance that a female will be the only kid born.

That is: 1/2

The likelihood that the family's subsequent kid will be a girl is:

1/2 * 1/2 = 1/4


Therefore, there is a 1/4 probability that the family's next child will be a girl.

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Plsss help!
Geometry A
Brainliest

Answers

According to the perpendicular bisector theorem, the statement that is true is: B. BI = BK.

What is the Perpendicular Bisector Theorem?

The perpendicular bisector theorem states that if a line segment bisects another line segment perpendicularly, therefore, any point on the perpendicular would be the same distance from the endpoints of each of the line segment that was bisected.

In the diagram above, we are told that line segment AB is a perpendicular bisector of line segment IK. This means that, according to the perpendicular bisector theorem, any point on line segment AB, would be equidistant to the endpoints of line segment IK.

This implies that:

The length of BI is the same as the length of BK. Thus, the correct answer is: B. BI = BK.

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Stella wants to build up her emergency fund to $10,000. She has $2,000 now and plans on saving $320 every month. To model the situation, she creates this equation, where x represents the number of months and y represents the total amount in her emergency fund:.

Answers

The linear equation that represents the total amount in her emergency fund after x number of months be

y = 320x + 2000

Given, Stella wants to build up her emergency fund to $10,000. She has $2,000 now and plans on saving $320 every month.

we have to model the situation in a linear equation,

Let the number of months be, x

and the total amount in her emergency fund be, y

As, she starts with $2000 so the y-intercept will be 2000

also she save $320 every month so the slope be 320

So, the equation be,

y = 320x + 2000

Hence, the linear equation that represents the total amount in her emergency fund after x number of months be

y = 320x + 2000

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question content area top part 1 deborah has two pairs of​ slacks, six ​shirts, and five sweaters. from how many combinations can she choose if she chooses a pair of​ slacks, a​ shirt, and a sweater each​ day?

Answers

Deborah can choose from a total of 60 combinations.

Here, we are given that Deborah has two pairs of​ slacks, six ​shirts, and five sweaters.

She has to choose a pair of​ slacks, a​ shirt, and a sweater each​ day.

She can choose a pair of slacks in 2 ways

Similarly, she can choose a shirt to wear in 6 ways and a sweater in 5 ways.

Since, she wears each one of these items each day, the total number of combinations can be found by multiplying the possibilities for each item as follows-

2 × 6 × 5

= 60

Thus, Deborah can choose from a total of 60 combinations.

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let n be a three digit positive integer with all different signs. what can we say about the difference between n and its reverse

Answers

By using the expanded form of a number, it can be concluded that

Difference between a three digit positive integer with all digits distinct and its reverse is surely divisible by 1, 3, 9, 11, 33, 99

What is expanded form of a number?
Every number can be written as a sum of the place value of its digit. This is known as expanded form of a number

Let the three digit positive integer be n = abc where a, b and c are distinct positive integers

n can be written as 100a + 10b + c

Its reverse is n' = cba

n' can be written as 100c + 10b + a

Difference between the number and its reverse

= 100a + 10b + c - 100c - 10b -a

=  99a - 99c

= 99(a - c)

= Since a and c are distinct, a - c [tex]\neq[/tex] 0

Difference between a three digit positive integer with all digits distinct and its reverse is surely divisible by 1, 3, 9, 11, 33, 99

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You have $8.80 in Pennie’s and nickels you have twice as many nickels as pennies write a system of linear equations that model the situation how many coins do you have

Answers

Answer:

Step-by-step explanation:

Let p be the number of pennies and n be the number of nickels. As you have $8.80 in total (given that pennies are worth $0.01 and nickels are worth $0.05)

0.01p + 0.05n = 8.80

You also know that there are twice as many nickels than pennies (or alternatively, there are 2 nickels for every penny).

n = 2p

You can substitute this value of n into the first equation

0.01p + 0.05n = 8.80

0.01p + 0.05(2p) = 8.80

0.01p + 0.10p = 8.80 (multiplying out the brackets)

0.11p = 8.80 (collecting the p's)

p = 80

Putting this back into the second equation

n = 2p

n = 2(80) = 160

So there are 160 nickels and 80 pennies.

You can put this back into the first equation to check it.

0.01p + 0.05n = 8.80

0.01(80) + 0.05(160) = 0.80 + 8 =8.80

in base 10, the number 2013 ends in the digit 3. in base 9, on the other hand, the same number is written as (2676)9 and ends in the digit 6. for how many positive integers b does the base-b-representation of 2013 end in the digit 3?

Answers

As described in number system the of positive integers is 13

what is number system ?

A numeral system, also known as a mathematical notation, is a way of writing numbers that uses digits or other symbols to represent the numbers in a given set in a standardised way. In different numeral systems, the same set of symbols may represent various numbers.

Solution:

we want the integers b such that

2013 = 3 ( modb)

=> b is a factor of 2010

since 2010 has 2 * 3 * 5* 67 it has

(1+1)(1+1)(1+1)(1+1) = 16 factors

since b cannot equal to 1, 2, or 3, as these cannot have 3 in there base representation, our answer is 16 - 3 =13.

therefore the number of positive integers is 13

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How is a constant term different than a variable for an expression that represents a real word situation

Answers

A constant does not change its value over time. A variable, on the other hand, changes its value dependent on the equation.

What is a tern!?

A term is either a number, a variable, or the product of a number and a variable. A coefficient is your term's numerical factor. A constant term is one that only contains a number. In other words, a constant term contains no variables.

Constants are algebraic expression terms that only contain numbers. That is, they are the terms that do not have variables. We call them constants because their value never changes because the term contains no variables that can change its value.

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What is the equation of the line that passes through the point (8,6) and has a slope of 0?.

Answers

The equation of line that passes through the point (8,6) and has a slope of 0 is y = 6.

Define the equation of the line?The set of points that make up a line in a coordinates system are represented algebraically by a line's equation. An equation of a line is an algebraic expression that represents the many points that together make up a line with in coordinate axis as a set of variables, x, and y.

As the sated question-

The passing point; (x1, y1) =  (8,6)

slope m = 0

Thus, equation lo line by slope intercept form is-

y - y1 = m(x - x1)

y - 6 = 0(x - 8)

y = 6

Thus, the equation of the line that passes through the point (8,6) and has a slope of 0 is y = 6.

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Are the following lines parallel, perpendicular, or neither?
y = 3(x + 7)

y + 5 = -1/3x

O parallel
O perpendicular
O neither

Answers

Answer:

perpendicular

Step-by-step explanation:

Find the slope for both lines and compare. Same slope would mean parallel. Different slopes means intersecting lines. But specifically if the slopes are opposite sign and reciprocals (one is flipped over from the other) then they are perpendicular.

Put them in slope-intercept form to find the slope.

y = mx + b

m is the slope (number by the x)

y = 3(x+7)

distribute the 3.

y = 3x + 21

This line has a slope of 3.

y + 5 = -1/3 x

y = -1/3 x - 5

This line has a slope of -1/3.

-1/3 and 3 are negative reciprocals. They have opposite signs. Also 1/3 is just 3 but flipped over. They are perpendicular.

a child is 40 inches tall, which places her at the 90th percentile of all children of similar age. the heights for children of this age form an approximately normal distribution with a mean of 38 inches. based on this information, what is the standard deviation of the heights of all children of this age?

Answers

Since the mean height of all children this age is 38 inches, the z-score is 1.282, and the child's height is 40 inches, the standard deviation of all children's heights will be 1561.

What is standard deviation?

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a larger range, a low standard deviation suggests that the values tend to be near to the established mean. The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation indicates that the data are grouped around the mean, whereas a high standard deviation shows that the data are more dispersed.

Here,

The z-score which separates the top 10% of a normally distributed

population is 1.282.

Since z = (x-u)/sigma

1.282 = (40-38)/sigma

sigma = 2/1.282

sigma = 1/0.641 = 1561

The standard deviation of the heights of all children of this age will be 1561 as mean is 38 inch and z-score is 1.282 as well as the height of child is 40 inch.

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from a group of 3 freshmen, 4 sophomores, 4 juniors, and 3 seniors, a committee of size four is randomly selected. find the probability that the committee will consists of only sophomores or juniors? round your answer to 2 decimal places.

Answers

Probability of randomly selecting four committee members with only sophomores or juniors is equal to 0.77.

As given in the question,

Total number of group members including 3 freshmen, 4 sophomores, 4 juniors, and 3 seniors = 14

Number of members required to form a committee = 4

Condition apply:

Committee consists of only sophomores or juniors

Let 'A' represents the sophomores

'B' represents the juniors

Total number of possible outcomes = ¹⁴C₄

Event A and B are independent of each other.

Favourable outcomes are :

2(⁴C₀⁴C₄ + ⁴C₁⁴C₃) +⁴C₂⁴C₂

Required probability

= 2(⁴C₀⁴C₄ + ⁴C₁⁴C₃) +⁴C₂⁴C₂ / ( ¹⁴C₄)

= [2( 1 + 16) + 36 ] / ( 7 × 13 )

= 70 /  91

=0.77

Therefore, the probability of the committee consists of only sophomores or juniors is equal to 0.77.

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you roll two fair dice. find the probability that the first die is a 6 given that the minimum of the two numbers is a 4.

Answers

Step-by-step explanation:

answers is 1 and 2 by 3

all the best

The probability of getting the 6 on the first die given that the minimum of two numbers is 0.11.

What is the probability?

Probability is a branch of mathematics that deals with numerical descriptions of how likely an event is to occur or how likely a proposition is to be true. The probability of an event is a number between 0 and 1, where 0 indicates the event's impossibility and 1 indicates certainty.

Given that Two dice are rolled.

Then the sample space (n) = 36

Possible outcomes = {(6,1), (6, 2), (6, 3), (6, 4)}

Probability = 4/36

                = 0.11

Hence, the probability of getting the 6 on the first die given that the minimum of two numbers is 0.11.

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Hey y’all can y’all help me again

Answers

Answer:

Answer

Step-by-step explanation:

10. is (-1,0)

12. is (3,0)

14. is (1,0)

The soup pot is 8. 5 inches tall with a radius of 4 inches. What is the volume of the soup pot? answer choices are rounded to the nearest tenth cubic inch.

Answers

The volume of the  soup pot is 427.04 inches³

The soup pot is 8. 5 inches tall with a radius of 4 inches

We need to find the volume of the soup pot

What is volume?

Volume, is defined as the space that a body occupies. it is the ratio of the mass of object to its density.

Volume of cylinder = 3.14r²h

Where r represents the radius of the cylinder and h represents the height of the cylinder.

Volume of cylinder = 3.14 x 4 x 4 x 8.5

Volume = 427.04 inches³

Thus, the required volume of the soup pot when it is s 8. 5 inches tall with a radius of 4 inches is 427.04 inches³

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The number of
Logan has $0.87 worth of pennies and nickels. He has a total of 31 coins altogether.
Determine the number of pennies and nickels Logan has.

Answers

Answer:

17 pennies, 14 nickels

Step-by-step explanation:

let p = pennies and n = nickels

p + n = 31 coins

p = 31 - n

0.01p + 0.05n = $0.87

0.01(31 - n) + 0.05n = 0.87

0.31 - 0.04n = 0.87

0.04n = 0.56

n = 14

p = 31 - 14

p = 17

hope this made sense :)

Exhibit 6-3 The weight of football players is normally distributed with a mean of 200 pounds and a standard deviation of 25 pounds. Refer to Exhibit 6-3. What is the minimum weight of the middle 95% of the players? a. 196 b. 151 c. 249 d. None of the answers is correct.

Answers

Option B, The center 95% of players had an average weight of 151 pounds.

Football players' weights have a mean of 200 pounds as well as a standard deviation of 25 pounds, which corresponds to a normal distribution.

So, let x represent a football player's weight.

X ≅ N(200, (25)²)

The minimal weight of the center 95% of the members is

P(X > 95) = P((95 - 200) ÷ 25) < (X - µ) ÷ σ)

P(X > 95) = P(-4.2 < z)

P(X > 95) = - P(z < -4.2)

P(X > 95) = 0.1512

The needed percentage is 0.1512 × 100 = 151.2 percent.

A probability distribution that is equal around the mean is the normal distribution, sometimes referred to as the Gaussian distribution. It demonstrates that data that are close to the mean occur more frequently than data that are far from the mean.

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6. If mLABE = 2n +7 and mZEBF = 4n-13, find mZABE.

Answers

Answer: 18°

Step-by-step explanation:

     The question doesn’t state where F is in relation to A, B or E, so we have to guess. Here are two guesses.

If ABF is a straight line then ∠ABE+∠EBF=180, so 2n+7+4n-13=180, 6n-6=180.

Divide each side by 6: n-1=30 so n=31 and m∠ABE=2n+7=2×31+7=62+7=69°.

If BF bisects ∠ABE, then ∠ABE=2×∠EBF, so 2n+7=2(4n-13)=8n-26. So 6n=33 and, dividing both sides by 3: 2n=11. Therefore m∠ABE=2n+7=11+7=18°.

A goalie makes 15 saves in 5 games. What is the unit rate of saves per game?​

Answers

Answer:

Step-by-step explanation:

15/5= how many saves per game
1 game = 3 saves

Answer:

The unit rate is 3 saves per game.

Step-by-step explanation:

15 / 5 = 3

Please mark as Brainliest, my good man (or woman)!

a textbook store sold a combined total of 340 history and sociology textbooks in a week. the number of history textbooks sold was three times the number of sociology textbooks sold. how many textbooks of each type were sold?

Answers

Answer:

85 sociology books

255 history books

Step-by-step explanation:

h = history textbooks

s = sociology textbooks

h + s = 340

h = 3s

3s + s = 340

4s = 340

s = 85

h = 3s = 3(85) = 255

Answer:

255 history textbooks

85 sociology textbooks

Step-by-step explanation:

Define the variables:

Let x be the number of history textbooks sold.Let y be the number of sociology textbooks sold.

Given information:

Total number of textbooks sold in a week was 340.The number of history textbooks sold was three times the number of sociology textbooks sold.

Create a system of equations with the given information and defined variables:

[tex]\begin{cases}x+y=340\\\;\;\;\:\:\:\:x=3y\end{aligned}[/tex]

Substitute the second equation into the first equation and solve for y:

[tex]\implies 3y+y=340[/tex]

[tex]\implies 4y=340[/tex]

[tex]\implies y=340 \div 4[/tex]

[tex]\implies y=85[/tex]

Substitute the found value of y into the second equation and solve x:

[tex]\implies x=3 \times 85[/tex]

[tex]\implies x=255[/tex]

Therefore, the number of each type of textbooks sold were:

255 history textbooks.85 sociology textbooks.

Question
A local movie theater sells tickets at different prices for an adult and for a child. The price of an adult’s ticket is $10.50 and the price of a child’s ticket is $6.50 . If the theater sells a total of 65 tickets for a total price of $594.50 in an afternoon, how many child tickets did the theater sell?

Answers

Answer:22

Step-by-step explanation:

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Please I need help on this I dont get how to do it, show your explanation please and thank you! Please help ASAP!!! Look at the picture and pls help me! In recent years, only 79% of the fruit sold at Fred's Fruit stand has been any good. Fred recently started buying fruit from new farmers and wants to know if there is a statistically significant increase in the percentage of good fruit. In a random sample of 475 pieces, 85 were bad. what social institution is a system of producing goods and services that involves the gathering of resources, the conversion of resources into usable commodities, and the distribution of commodities to members of a population? Levi invested $8,500 in anaccount paying an interest rate of 3.4%compounded continuously. Assuming no deposits or withdrawals aremade, how much money, to the nearest ten dollars, would be in theaccount after 18 years? Professor McIntosh emphasizes that depression often involves the interactive influences of self-focused rumination, rejection from others, and low serotonin levels. The professor's emphasis best illustratesa. the medical modelb. the learning perspectivec. genetic influencesd. a biopsychosocial approach The Road Not Taken - By Robert FrostTwo roads diverged in a yellow wood,And sorry I could not travel bothAnd be one traveler, long I stoodAnd looked down one as far as I couldTo where it bent in the undergrowthThen took the other, as just as fair,And having perhaps the better claimBecause it was grassy and wanted wearThough as for that the passing thereHad worn them really about the same,And both that morning equally layIn leaves no step had trodden blackOh, I kept the first for another day!Yet knowing how way leads on to wayI doubted if I should ever come backI shall be telling this with a sighSomewhere ages and ages henceTwo roads diverged in a wood, and I-I took the one less traveled by,And that has made all the difference.QuestionHow do lines 9-12 affect the meaning of the poem?o-The speaker admits that the two roads were actually just one, revealing that the speaker is lying about having to make a difficult choice.o-The speaker admits both roads were untraveled, revealing that the indecisive speaker never chose a road.o-The speaker admits that the roads were actually similar, suggesting one choice was not clearly better than the other. PLEASE HELP ME. No rush, but please help me. In a 125-word paragraph, what are at least three ways in which women fought against dominant perceptions of their roles and abilities during and following World War I? you are a city planner in chicago, interested in pursuing hydrothermal liquefaction. if all goes as planned, where would be the best place for you to visit to learn more? On May 1, Carter, Inc. factored $800,000 of accounts receivable with Rapid Finance on a without recourse basis. Under the arrangement, Carter was to handle disputes concerning service, and Rapid Finance was to make the collections, handle the sales discounts, and absorb the credit losses. Rapid Finance assessed a finance charge of 6% of the total accounts receivable factored and retained an amount equal to 2% of the total receivables to cover sales discounts.Instructions(a) Prepare the journal entry required on Carter 's books on May 1.(b) Prepare the journal entry required on Rapid Finances books on May 1.(c) Assume Carter factors the $800,000 of accounts receivable with Rapid Finance on a with recourse basis instead. The recourse provision has a fair value of $14,000. Prepare the journal entry required on Carters books on May 1. the technology that allows engineers to penetrate rock at multiple angles instead of simply a straight line is called(1 point) which chamber of the heart contracts to send oxygenated blood through the aortic valve and out to the body's cells? 1. determine and compare the total heat transfer rates in the case of natural and forced convections over a heated vertical flat plate. If a person circulatory system does not function well how might thermoregulation in his or her body be affected which of the following is a possible strategy for reducing economic exposure? a. hedging with forward contracts b. purchasing foreign supplies c. financing with foreign funds d. all of these are correct. The process of monitoring, comparing, and correcting work performance is the management function known as ________. Which of the following statements is TRUE about the use of DoD Public Key Infrastructure (PKI) tokens? when organism in a ecosphere die they are broken down by bacteria. why is this necessary for the survival of the organism in the ecosphere? a 12 cm length spring is attached to the ceiling. when a 2.5 kg mass is hung from it, the spring stretches to a length of 16 cm. calculate the spring constant, k. w + 2 + 2(w + 3)HELP FASTTTT