solve the inequality -1/3h_<7

Answers

Answer 1

Answer:

The solution to the given inequality

 [tex]h\geq \frac{-1}{21}[/tex]

Step-by-step explanation:

Given inequality

                      [tex]\frac{-1}{3h} \leq 7[/tex]

             ⇒     -1≤ 7× 3h

             ⇒     -1 ≤ 21 h

             ⇒    21 h ≥ -1

            ⇒       [tex]h\geq \frac{-1}{21}[/tex]


Related Questions

The distance from Salvador’s job to his house is three times greater than the distance from his house to the school. If his house is between his job and the school and the distance from his job to the school is 6 miles, how far is it from Salvador’s house to the school?

SHOW YOUR WORK pls and ty

Answers

Answer:

His school is 1.5 miles away :)

Step-by-step explanation:

6/4 = 1.5 miles

1.5 miles means his house is 1.5 miles from his school

Check the answer (1.5 times 3) = 4.5 miles so his job is 4.5 miles away.

4.5 + 1.5 = 6 miles

The distance between Salvador's house and his school is 1.5 miles

Let :

Distance from house to school = d

Therefore;

Distance from job to house = 3d

Then ;

Distance from job to school = 6 miles

Since, house is in between job and school :

Distance from job to school = d + 3d 6 miles = 4d d = 6 ÷ 4 = 1.5 miles

The distance from house to school = d ; hence, distance between his house and school is 1.5 miles.

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Solve the systems of equations using substitution

Answers

Answer:

C

Step-by-step explanation:

[tex]y = 2x + 3 \\ y = 3x + 1 \\ 2x = y - 3 \\ x = 0.5y - 1.5 \\ y = 3(0.5y - 1.5) + 1 \\ y = 1.5y - 4.5 + 1 \\ y - 1.5y = - 3.5 \\ 0.5y = 3.5 \\ y = 7[/tex]

[tex]x = 0.5(7) - 1.5 \\ x = 3.5 - 1.5 \\ x = 2[/tex]

(2, 7)

Last school year, the student body of a local university consisted of 30% freshmen, 24% sophomores, 26% juniors, and 20% seniors. A random sample of 300 students taken from this year's student body showed the following number of students in each class.
Freshmen 83
Sophomores 68
Juniors 85
Seniors 64
We are interested in determining whether there has been a significant change in the distribution of class between the last school year and this school year.
A) What is the expected number of freshmen?
B) What is the expected number of seniors?
C) What is the calculated value for the test statistic?
D) What is the p-value?
E) At 95% confidence, should the null hypothesis be rejected?

Answers

Answer:

1.66

Step-by-step explanation:

We need to conduct a chi square test

The statistic used to check this is given by the below

∑(n, 1) = [(O(i) - E(i)] / E(i)

From the question, we're told the observed value is

Freshmen

Sophomore

Junior

Senior.

After that, we then calculate the expected value.

Freshman

0.3 * 300 = $90

Sophomore

0.24 * 300 = $72

Statistics then finally gives us this

X² = (93 - 90²)/90 + (68 - 72)²/72 + (85 - 78)/78 + (64 -60)²/60

X² = 3² / 90 + 4² / 73 + 13² / 78 + 4² / 60

X² = 0.1 + 0.212 + 2.167 + 0.266 x+

X² = 2.745

X = √2.745

X = 1.66

Dawn is making an abstract painting with two triangles. the dimensions are 6 in by 10 in and 8 in by 10 in. what is the total area in square inches.

Answers

Anwser: First triangle area =0.5*8*10=40 in2. Secound triangle area =0.5*8*6=24 in2 Sum is 1st area + 2nd area, which is 64 in2.

CS Algebra
Test Iten
Given the equations below, what is the product of x and y?
3
8(x - 2) = 2x + 8
ay+9 = -2(y + 1)
=
A 16
B 4
C4
0 c
D -16

Answers

Answer:

Hope this helps :)

Step-by-step explanation:

8(x - 2) = 2x + 8

y+9 = -2(y + 1)

value of x in 8(x - 2) = 2x + 8

x=4

substitue

y+9=−2(y+1)

value of y y+9=−2(y+1)

y= - 11/3 or 3.66...

x=4

y=4 (I rounded 3.66)

2.5% of what number is 14?

Answers

Answer: 560

Step-by-step explanation:     2.5 percent (calculated percentage %) of what number equals 14? Answer: 560.

The unknown number will be; 560.

How to find the percentage from the total value?

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent considered thing is of "a" is b%. Then the percent shows per 100 (since cent means 100).

a x b/100 = a x b%

WE need to find the 2.5% of unknown number is 14.

Let the unknown number be x

Then;

2.5% of x = 14.

Simplify;

2.5/100 × x = 14

0.0025 × x = 14

x = 14/0.0025

x = 560

Hence, the  unknown number will be; 560.

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What is the area, in square yards, of
the rectangle shown below?
12 yd
15 yd

F 225 square yards

G 54 square yards
H 180 square yards
J27 square yards

Answers

Answer:

area of rectangle=length ×breadth

area of rectangle=12yd×15yd

area of rectangle=180yd²

HELP!!

Construct the graph of the direct proportion y=kx for k=1

Answers

3,3

Pretty simple.

1 x 3 = 3

The graph of the direct proportion y = kx for k=1 is shown in figure.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

The direct proportion is defined as,

⇒ y = kx

Now, The equation for k = 1 is,

⇒ y = kx

⇒ y = 1x

⇒ y = x

Clearly, It represent the straight line.

Hence, The graph of y = x is shown in figure.

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A cabinet, 4 chairs, and 2 tables cost $825. The cabinet costs 3 times as much as a chair. The table costs $120 more than a chair. What is the cost of the cabinet? Please answer with work so I know how to do It next time.

Answers

let

x = the cost of the cabinet

y = the cost of a chair

z = the cost of a table

A cabinet, 4 chairs and 2 tables cost $825

x + 4y + 2z = 825

The cabinet costs 3 times as much as a chair

x = 3y

The table costs $120 more than a chair

z = 120 + y

by solving the system of equations

x + 4y + 2z = 825

x = 3y

z = 120 + y

we find

x = $195

Lin wants to save 75$ for a trip to the city. If she has saved $37.50 so far, what percentage of her goal has she saved? What percentage remains?​

Answers

Answer:

37.50÷75=0.5 so first you are dividing bcus u need to find what percentage she has saved.

Answer:

O.5 because u need to divide and give me brainlessly plz

Step-by-step explanation:

There are 8 circles and 10 triangles. What is the simplest ratio of circles to total shapes?

Answers

The simplest ratio is 4:9

An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?

Answers

Answer and explanation:

Probability = number of favorable outcomes/ total number of outcomes

Since all glasses labelled C, D, and P are all same Cola

Probability that C is ranked first = 1/3

Probability that D is ranked last = 1/3

What is the simplest value of 4⁰

Answers

Answer:

1

Step-by-step explanation:

The sum of three consecutive even integers is 486. find all three integers​

Answers

160 and 162 and 164

Step-by-step explanation:

To find the three even integers, use the equation

x + (x + 2) + (x + 4) = 486

Then solve:

Add the common terms (the xs and numbers)

3x + 6 = 486

Subtract the 6 from both sides

3x = 480

Then divide

x = 160

So 160 + (160 + 2) + (160 + 4) = 486

160 + 162 + 164 = 486

So your three consecutive even integers are

*PLEASE HELP QUICK*

Felipe is driving at a constant speed. The distance travelled depends on time.
d= distance in miles
t= time in hours

what is the rate of change of felipes driving speed?

how far will felipe drive in 6hrs?

Answers

9514 1404 393

Answer:

0150 miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

  d = 25t

__

The rate of change of Felipe's driving speed* is zero, since his speed is given as constant.

Felipe will drive 150 mile in 6 hours, as found using the equation:

  d = 25(6) = 150

_____

* The question posed here asks for rate of change of driving speed. Perhaps, you want rate of change of distance, which is driving speed: 25 miles per hour.

Marcus rolled a number cube and recorded his results in the table. What is the experimental probability that the next roll is a five? Round your answer to the nearest whole percent.

Answers

Answer:

The probability is 13.33%

Step-by-step explanation:

Probability

The probability of an outcome is defined as the frequency of the number of times the outcome occurs (f) relative to the number of times that it could have occurred (n).

The formula to calculate the probability is:

[tex]\displaystyle P=\frac{f}{n}[/tex]

Marcus rolled a number cube and the results are recorded in a table where it can be noted that the number five rolled f=24 times. The total number of trials is n=30+45+30+28+24+23=180.

The probability that the next roll is a five is:

[tex]\displaystyle P=\frac{24}{180}[/tex]

Simplifying:

[tex]\displaystyle P=\frac{24}{180}[/tex]

[tex]\displaystyle P=\frac{2}{15}[/tex]

Dividing:

[tex]\displaystyle P=0.1333 = 13.33\%[/tex]

The probability is 13.33%

Pleaseeeeee helppppppp


Select the correct answer from each drop-down menu.

Gilbert is training for a bike race. As part of his training, he does practice rides on portions of the actual race course. Gilbert's first practice ride

covers 5 miles of the course, and his second practice ride covers 9 miles of the course. Between these practice rides, he increase his average speed by 2 miles/hour .


The denominator of the function that models practice ride 2 represent the

A . Increase in Gilbert’s average biking speed

B. Distance Gilbert’s travels

C . Time it takes Gilbert’s to travel 5 miles

D . Biking speed for the second practice ride .


To find a function that models the total amount of time Gilbert spend doing practice rides on the race course

A . Add

B. Multiply

C . Divide

D . Subtract

The functions

Answers

Answer:

D . Biking speed for the second practice ride

Add

Step-by-step explanation:

Given :

First practice ride:

Distance = 5 miles

2nd practice ride :

Distance = 9 miles

Time models for each practice ride ;

First practice ride :

a(x) = 5 / x

x = speed

2nd practice ride :

b(x) = 9 / (x + 2)

Recall :

Time taken: distance / speed ; compacting with time taken equation of the 2nd practice ride :

Hence,

Speed of 2nd practice ride = x + 2

B.) To obtain a function for the total amount of time :

We take the sum of the first and second practice time : a(x) + b(x)

5/x + 9/(x+2)

Answer:  For plato family

   Biking speed for the second practice ride .

     Add

Step-by-step explanation:

I just took the test

Simplify the following

3 27a3b9
1.1
X (2aºb)3
81512

Answers

Answer:

HI BYE 45     SO ME I THINK IT I DONT KNOW SO PEACE GOOD LUCK

A grocery supplier believes that in a dozen eggs, the mean number of broken eggs is 0.6 eggs with a standard deviation of 0.3 eggs. You buy 3 dozen eggs without checking them.A) what is the expected number of broken eggs?B) what is the standard deviation?

Answers

Answer:

(a) 1.8 eggs

(b) 0.52 eggs

Step-by-step explanation:

According to the problem, computation of the given data are as follows:

The mean number of broken eggs in a dozen E(X) = 0.6

Standard deviation SD(X) = 0.3

(a). For 3 dozen eggs, number of broken eggs can be calculated by using following formula,

E(X) for 3 dozen = 3 × 0.6

= 1.8 eggs

(b). Standard deviation for 3 dozen can be calculated as follows,

SD (X) = ×[tex]\sqrt{3* (0.3)^{2}[/tex]

= [tex]\sqrt{27}[/tex][tex]\sqrt{27}[/tex]

= 0.52 eggs

Find the midsegment.

Answers

Answer:

14

20+8=28/2

your welcome

PLEASE HELP!!! ASAP

determine the number and type of solutions to the equation: x^2+7x=-11
a.) two real solutions
b.) one real solution
c.) two imaginary solutions
d.) one imaginary solution

Answers

Answer:

b i think because for it to be imaginary, im sure there has to be an i in the equation

Answer:

A) Two Real Solutions

Step-by-step explanation:

Correct on Big Ideas Math :)

Factor completely 2x3 + 6x2 + 2x + 6

Answers

Answer:

2(x+3)(x2+1)

Step-by-step explanation:

3 days ago • Mathematics • High School
11. The senior class at Eastside High School is get
class T-shirts
printed. The silkscreening
company that makes the shirts charges $8.25 per shirt and a one-tin
fee of $38 to make the
silkscreen. If the senior class has budgeted $4,500.00 for the T-shirts
what is the greatest
number of shirts they can order?

Answers

Answer:

Greatest number of t-shirts that can be ordered is 540.

Step-by-step explanation:

Given that:

Cost of printing one shirt = $8.25

One time fee to make the silkscreen = $38

Budget for the t-shirts = $4500.00

Let,

x be the number of t-shirts

According to given statement;

8.25x + 38 ≤ 4500.00

8.25x ≤ 4500.00 - 38

8.25x ≤ 4462.00

Dividing both sides by 8.25

[tex]\frac{8.25x}{8.25}\leq \frac{4462.00}{8.25}\\x\leq 540.84[/tex]

Hence,

Greatest number of t-shirts that can be ordered is 540.

Iman’s favorite colors are \blue{\text{blue}}bluestart color #6495ed, start text, b, l, u, e, end text, end color #6495ed and \pink{\text{pink}}pinkstart color #ff00af, start text, p, i, n, k, end text, end color #ff00af.
She has \blue{\text{1 blue shirt}}1 blue shirtstart color #6495ed, start text, 1, space, b, l, u, e, space, s, h, i, r, t, end text, end color #6495ed, \pink{\text{1 pink shirt}}1 pink shirtstart color #ff00af, start text, 1, space, p, i, n, k, space, s, h, i, r, t, end text, end color #ff00af, \blue{\text{1 blue hat}}1 blue hatstart color #6495ed, start text, 1, space, b, l, u, e, space, h, a, t, end text, end color #6495ed, \blue{\text{1 blue belt}}1 blue beltstart color #6495ed, start text, 1, space, b, l, u, e, space, b, e, l, t, end text, end color #6495ed, \blue{\text{1 blue pair of pants}}1 blue pair of pantsstart color #6495ed, start text, 1, space, b, l, u, e, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #6495ed, and \pink{\text{1 pink pair of pants}}1 pink pair of pantsstart color #ff00af, start text, 1, space, p, i, n, k, space, p, a, i, r, space, o, f, space, p, a, n, t, s, end text, end color #ff00af.
Iman selects one of these garments at random. Let AAA be the event that she selects a pink garment and BBB be the event that she chooses a shirt.
What is P(A\text{ or }B)P(A or B)P, left parenthesis, A, start text, space, o, r, space, end text, B, right parenthesis, the probability that the garment Iman chooses is pink or a shirt?

Answers

Answer:

1/2

Step-by-step explanation:

i got this from camellarosegarcia. thank you camellarosegarcia!!!

also got it right on Khan    :)

The answer of probability that the garment Iman chooses is pink or a blue shirt is 1/2

What is Probability ?

Probability means possibility.

It is a branch of mathematics that deals with the occurrence of a random event.

The value is expressed from zero to one.  

The meaning of probability is basically the extent to which something is likely to happen.

Divide the number of events by the number of possible outcomes. This will give us the probability of a single event occurring.

In this case Iman has 2 choices pink or blue

So the probability that the garment Iman chooses is pink or a  blue shirt

is  1/2 .

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Simplify the expression: 355 – (3+4. 2)2

Answers

I think the answer is 340.6

Answer:

340.6

Step-by-step explanation:

355 - 7.2 * 2 =

355 - 14.4 =

340.6

What is the perimeter

Answers

Answer:

-2x + 3

Step-by-step explanation:

Perimeter means to add all the sides of the triangle. Simply combine like terms:

(3x) + (2x - 5) + (-7x + 8)

(3x + 2x - 7x) + (-5 + 8)

(5x - 7x) + (8 - 5)

-2x + 3

-2x + 3 is your answer.

~

The box plot represents a data set. What is the range of the middle 50% of the data?

Answers

Answer:

7

explanation:

15 - 8 = 7

The range of the middle 50% of the data is 7.

We have a set of numbers plotted on a number line.

We have to find the range of middle 50% of the data.

What is interquartile range ?

The interquartile range abbreviated as (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR is also called the mid-spread, middle 50% and fourth spread.

According to the question -

The Interquartile range is the difference of third quartile and first quartile.

From the given figure -

First quartile = Q[1] = 8

Third quartile = Q[3] = 15

Range of IQR = Q[3] - Q[1] = 15 - 8 = 7

Hence, the range of the middle 50% of the data is 7

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20−5(4/2)^2=? /= fraction

Answers

Answer:

0

Step-by-step explanation:

=20−5(2^2)

=20−(5)(4)

=20−20

=0

Find the indicated probabilities using the geometric distribution, Poisson distribution, or the binomial distribution. The mean number of births per minute in a given country in a recent year was about 6. Find the probability that the number of births in any given minute is exactly five. Round to four decimal places as needed.

Answers

Answer:

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Step-by-step explanation:

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:

[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]

In which

x is the number of sucesses

e = 2.71828 is the Euler number

[tex]\mu[/tex] is the mean in the given interval.

In this question:

We only have the mean during an interval, and this is why we use the Poisson distribution.

The mean number of births per minute in a given country in a recent year was about 6.

This means that [tex]\mu = 6[/tex]

Find the probability that the number of births in any given minute is exactly five.

This is P(X = 5). So

[tex]P(X = 5) = \frac{e^{-6}*6^{5}}{(5)!} = 0.1606[/tex]

0.1606 = 16.06% probability that the number of births in any given minute is exactly five.

Solve for x. what is the measure of each indicated angle? show your work

Answers

Answer:

Angle y is also 40 degrees. Angle x and y are vertical angles, thus they have the same angle measure.

Step-by-step explanation:

Answer:

x is equal to 7

the measure of both angles is 23°

Step-by-step explanation:

1. set both equations equal to each other

2. 4x - x is 3x

3. 16 + 5 is 21

4. 3x = 21

5. divide both sides by 3

6. x equals 7

Other Questions
Margaret deposits $1,000 in a savings account that pays 1.4% interest compoundedsemiannually. What is her balance after 1 year? Garret read the following paragraph during his research on airplane travel. (1) Airplane travel has increased significantly in the past decades. (2) More than three-quarters of all domestic flights are taken for leisure purposes. (3) The money spent on all airplane travel, both domestic and international, totaled over 600 billion dollars in 2013. (4) Unlike in the past when airplane travel was very costly, most Americans consider airplane travel a viable option when they are planning a trip. How is the authors purpose conveyed in the passage? A. The author uses the first sentence to inform readers of the central idea that people travel by airplanes more now than in the past. B. The author uses the second sentence to entertain readers by describing various leisure opportunities. C. The author uses the third sentence to entertain readers by including a shocking fact about the total amount spent on airplane travel. D. The author uses the fourth sentence to persuade readers to travel by airplane on their next vacation. The following question refers to the text Gus and Frieda: Geniuses at Recess. Read the paragraph and answer the question below it. The paragraphs have been labeled A, B, and C. The sentences in each paragraph have been numbered to help you identify them more easily.Gus and Frieda: Geniuses at Recess(A)/>(1) Gus and Frieda were not enjoying recess. (2) They considered themselves athletically challenged. (3) To make things worse, the young geniuses' teacher asked them to play dodge ball.(B)/>(1) Panic showed on Gus's face. (2) Frieda was worried, too. (3) They both feared they would fail epicly.(C)/>(1) Gus and Frieda studyed the situation then got an idea. (2) When no one was looking, they replaced themselves with identical robots. (3) The plan worked terrifically, and they dodged disaster for the day.What statement is true about paragraph B? (5 points) a There is an error sentence number 1. b There is an error in sentence number 2. c There is an error in sentence number 3. d There are no errors in paragraph B. whats the correct answer !! HELP ASAPPP PELASEEEEE Which process do plants and animals share in common? (1 point)transpirationcellular respirationabsorption of waterphotosynthesisYou encounter a plant that has green structures on tall brown stalks. Which kind of plant is this, and what are the green structures? (1 point)It is a vascular plant, and the structures are leaves.It is a nonvascular plant, and the structures are leaves.It is a nonvascular plant, and the structures are roots.It is a vascular plant, and the structures are roots.Some plants have sugar in their roots. How does this adaptation help with survival?(1 point)The sugar attracts animals to eat the roots.The sugar is used to create new plants.Having the sugar under the ground keeps animals from finding and eating it.The sugar can help the plant survive by storing energy.Which adaptation in a berry plant is for reproduction? (1 point)thorns on the stemsugar in the berrieschlorophyll in the leavesflowers on the plantHow do tropisms help plants survive?(1 point)Plants create their own food using chlorophyll.Plants grow together with other plants.Plants limit their needs in harsh conditions.Plants grow toward things they need.Use the scenario to answer the question.A student is studying the effects of sunlight on tomato plants. She chooses 6 tomato plants, making sure that each of them receives the same amount of water and fertilizer each day. She gives one plant 0 hours of sunlight each day, with the other 5 plants receiving 1, 3, 5, 7, and 9 hours of sunlight. At the end of the experiment, she has people try a tomato from each plant and has them rank the fruits by their sweetness. She also records the total number of leaves produced on each tomato plant.Which variable was controlled in the experiment?(1 point)sweetness of fruitnumber of leavesamount of waterhours of sunlightA plant is observed to have deep roots and tendrils that wrap around objects. Which pair of tropisms correctly describe these responses?(1 point)hydrotropism and thigmotropismphototropism and thigmotropismgeotropism and phototropismhydrotropism and geotropismPole beans need something to grow around and up. Which kind of stimuli can encourage this type of growth?(1 point)lighttouchwatergravity Plz help A system of equations is given below.y = negative 3 x + 6 and y = 6 minus 3 xWhich of the following statements best describes the two lines?They have different slopes and different y-intercepts, so they have no solution.They have different slopes and different y-intercepts, so they have one solution.They have the same slope and the same y-intercept, so they have no solution.They have the same slope and the same y-intercept, so they have infinitely many solutions. At which value in the domain does f(x) = 0? Match the scenario to the concept it represents What is the students' attitude toward Mr. Jin?1. The students are light hearted and humorous during Mr. Jin's presentation.2. The students are bored and indifferent during Mr. Jin's presentation.3. The students are rude and disruptive during Mr. Jin's presentation.4. The students are attentive and curious during Mr. Jin's presentation. what point of view is The door opened, and an old man and an old woman came out carrying bowls of rice and soup and a leafy branch of peaches. "Have you eaten rice today, little girl?" . . . They gave me an egg, as if it were my birthday, and tea, though they were older than I, but I poured for them. The teapot and the rice pot seemed bottomless, but perhaps not; the old couple ate very little except for peaches.From Maxine Hong Kingston, The Woman Warrior. Copyright 1976 by Maxine Hong Kingston Help with french email pls , Ill give brainliest Solve the system of equations by elimination. Explain your reasoning or show your work. 4x+6y=44 and 4x+2y=28 a.Briefly describe ONE historical development illustrated by the Preamble. b. Briefly describe ONE way in which a historical development illustrated by the Preamble compares with the ideas expressed in the Declaration of Independence. c.Briefly explain ONE point of view of the authors of the Preamble. Plz help! Will give brainliest and points! With which Civil War Amendmentis the Twenty-fourth Amendmentmost closely connected? greyhound pursues a hare and takes 5 leaps for every 6 leaps of the hare, but3 leaps of the hound are equal to 5 leaps of the hare. Compare the speed of thehound and the hare,need full solution:- Under certain circumstances, it is legal to restrict all of the following types of publicassembly EXCEPT(A)violent demonstrations about flag burning(B)demonstrations that disrupt school activity(C)demonstrations in jails and prisons(D)demonstrations of KKK sympathizers . The level of mercury in a stream was suspected to be above the minimum considered safe (1 part per billion by weight). And analysis indicated that the concentration was 0.68 parts per billion. Assume a density of 1.0 g/mL and calculate the molarity of mercury in the stream. What is the missing number in this pattern?1,8,27,64,125,