Bella manages a volunteer group. The time (T) that it takes a group of volunteers to construct a house varies inversely as the number of volunteers (V). It takes 20 volunteers to build a house in 63 hours. Write an equation to model this situation. Next, find how many volunteers it would take to build a house in 30 hours.

Answers

Answer 1

Answer:

42 Volunteers

Step-by-step explanation:

The time (T) that it takes a group of volunteers to construct a house varies inversely as the number of volunteers (V).

This is written as:

[tex]V \propto \frac{1}{T} \\$Introducing the variation constant k\\V = \frac{k}{T}\\$It takes 20 volunteers to build a house in 63 hours.$\\When V=20, T=63\\V = \frac{k}{T}\\20 = \frac{k}{63}\\k=20*63=1260\\$Therefore, the equation connecting V and T is:$\\V = \frac{1260}{T}\\$When T=30 hours, we want to determine the number of volunteers needed V$\\V = \frac{1260}{30}=42\\$42 Volunteers will be needed.$[/tex]


Related Questions

40 - 5n = -2 need explanation as well

Answers

Answer: n = 8.4

Step-by-step explanation:

40 - 5n = -2

First, subtract 40 from each side of the equation

-5n = -42

Then, divide each side by -5

n = 8.4

The -5 and -42 cancel each other out when dividing, so n = 8.4 is positive.

Answer:

n=8.4

Step-by-step explanation:

To solve, we need to isolate the variable, n

40 -5n =-2

Subtract 40 from both sides

40-40-5n= -2 -40

-5n= -42

Divide both sides by -5

-5n/-5=-42/-5

n=42/5

n=8.4

Rebeckah answered 42 of the 60 questions correctly on a test. Which method should she use to find the percent of questions she answered correctly? First, subtract 42 from 60 to find the ratio of questions answered correctly to total questions, which is . Then, add 40 to the numerator and denominator to find the percent: . First, find the ratio of questions answered correctly to total questions, which is . Then, add 40 to the numerator and denominator to find the percent: . First, subtract 42 from 60 to find the ratio of questions answered correctly to total questions, which is . Then, simplify the ratio to . Finally, multiply the numerator and denominator by 10 to find the percent: . First, find the ratio of questions answered correctly to total questions, which is . Then, simplify the ratio to . Finally, multiply the numerator and denominator by 10 to get

Answers

Answer:

The last option

Step-by-step explanation:

To find a percentage of something you need

[tex]\frac{expected}{total}*100[/tex]

The expected is correct marks, the total is the total amount - then you multiply by 100 to turn the decimal into a percentage.

Answer:

the answer is D

Step-by-step explanation:

In the figure below, ∠APE and ∠EPD are congruent.
What is the arc measure of AC on circle P in degrees?

Answers

Answer:

P = 54 so

arc AC = 150

Step-by-step explanation:

The measure of AC on circle P in degrees is 118degrees

To get the measure of the arc AC on the circle, we will use the formula for calculating the angle at a point.

The sum of the angle at a point is 360 degrees, hence:

arc AB + arcBC + arcCD + arc DE + arcEA = 360

If ∠APE and ∠EPD are congruent, this means that arc DE = arcEA. The equation becomes:

arc AB + arcBC + arcCD + arc DE + arcDE = 360

Substitute the given angles into the expression:

arc AB + arcBC + arcCD +2arcDE = 360

126 + 74 + 42 + 2arcDE = 360

242  + 2arcDE = 360

2arcDE = 360 - 242

2arcDE = 118

arcDE = 118/2

arcDE = 59

arcAC = 2(arcDE)

arcAC = 2(59)

arcAC = 118 degrees

Hence the measure of AC on circle P in degrees is 118degrees

Learn more here: https://brainly.com/question/24356953

Aiden put two-fifths of his Money into his piggy bank. He had $15 left in his pocket to buy a toy. How much money did aiden have before he put some into his bank?

Answers

Answer:25

Step-by-step explanation:

15x 2/5=25

Answer:

$37.50

Step-by-step explanation:

[tex]\frac{2}{5}[/tex] of Aiden's money is $15. Half of [tex]\frac{2}{5}[/tex] is [tex]\frac{1}{5}[/tex], so you have to find half of $15 to find out what [tex]\frac{1}{5}[/tex] of Aiden's money is.

15/2 = 7.5. [tex]\frac{1}{5}[/tex] of Aiden's money is $7.50.

7.5 × 5 = 37.5, so Aiden had $37.50 before he put some into his piggy bank.

Plz helppppppppppp me with these

Answers

Answer:

help with what tho

Step-by-step explanation:

Answer:

with what I can't see it

Step-by-step explanation:

From a thin piece of cardboard 40 in. by 40 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.

Answers

Answer:

The maximum dimension for box will be side length as 26.667 inches and height will be 6.667 inches and volume will be 4741 cu inches.

Step-by-step explanation:

Given:

With dimensions as

40x40 square and sides are folded in square corners.

To Find:

Maximum volume that will yield and maximum dimension for box

Solution:

Consider, a box with 40 x 40 dimensions as follows and

let a x side length square corners are cut and folded up and a new figure is formed .and for that what will be the maximum volume and dimension.

Now,

as the there 2 corner for each side i.e. 2 square on side length

Resultant length will be 40-2x

So volume is given by ,

[tex]V=l^2*h[/tex]

[tex]=(40-2x)^2*x[/tex]

[tex]V=(40^2-2*2x*40+4x^2)*x[/tex]

[tex]V=(1600-160x+4x^2)*x[/tex]

[tex]V=4x^3-160x^2+1600x[/tex]

To get Maximum volume differentiate w.r.t 'x'

[tex]V'=12x^2-320x+1600[/tex]

[tex]V"=24x-320[/tex]

Now solve for x with help of quadratic equation we get ,

12x^2-320x+1600

=4(3x-20)(x-20)

Therefore ,

3x-20=0 or x-20=0

x=20/3 or x=20

x=16.666 or x=20

Now use this values in a 2nd derivative equation,

V"=24(6.667)-320)

V"=160-320

V"=-160 <0 ,................equation(1)[Here maximum volume will be presented]

For X=20

V"=24*20-320

V"=480-320

=160>0 ..................Equation(2)[here minimum volume will presented]

Comparing equation 1 and 2 we get ,

Take as x=20/3 as the folded square length as it is gives minimum value for 2nd derivative.

So

[tex]V=(40-2x)^2*x[/tex]

[tex]V=[40-2(20/3)]^2*20/3[/tex]

[tex]V=[40-40/3]^2*6.667[/tex]

=[tex][26.667]^2*6.667[/tex]

=4740.95

=[tex]4741 cu inches.[/tex]

So side lengths =40-2x=40-2*20/3

=40(1-1/3)

=40(2/3)

=26.667 inches

And the height will be x=20/3=6.667 inches.

I need to buy some cardboard to build a box 12 inches long, 8 inches wide and 10 inches high. How much cardboard is needed to build the box

Answers

You will need 592 square inches of cardboard to build the box.

To determine how much cardboard is needed to build the box, we calculate the surface area of the box.

The box has six faces: two of each dimension.

Calculating the area of each pair of faces:

Two faces of (12 in x 8 in):

2 x (12 x 8) = 2 x 96 = 192 square inches

Two faces of (12 in x 10 in):

2 x (12 x 10) = 2 x 120 = 240 square inches

Two faces of (8 in x 10 in):

2 x (8 x 10) = 2 x 80 = 160 square inches

Sum the areas of all faces:

192 + 240 + 160 = 592 square inches

What is the difference of the rational expressions below?

Answers

Answer: A

Step-by-step explanation:

We need to get the denominators to be same first before we can do anything to the numerator.

The LCD (lowest common denominator) is [tex]3x^{3}[/tex]. To find the LCD, multiply the denominators together: [tex]x^{3}[/tex] · [tex]3x[/tex] = [tex]3x^{3[/tex].

Below, we are trying to get the denominators to equal the same or to [tex]3x^{3}[/tex].

[tex]\frac{3}{3} (\frac{4}{x^{3} } ) - \frac{x^{2} }{x^{2} } (\frac{2x-1}{3x} )[/tex]

[tex]\frac{12}{3x^{3} } - \frac{2x^{3}-x^{2} }{3x^{3} }[/tex]

Now that the denominators are the same, we can subtract the numerators from each other.

[tex]\frac{ 12 - (2x^{3} -x^{2})\\}{3x^{3} } \\[/tex]

[tex]\frac{12-2x^{3} +x^{2} }{3x^{3} }[/tex]

Now, we can just reorganize the variables.

Answer:  A or [tex]\frac{-2x^{3} + x^{2}+12 }{3x^{3} }[/tex]

Hii help I to lazy to do it

Answers

Answer:

3 cans

Step-by-step explanation:

We need to find the area of the deck

A = 9 1/9 * 3

Changing to an improper fraction

9 1/9 = (9*9+1)/9 = 82/9

A = 82/9 *3 = 82/3

Changing back to  a mixed number

82/3 = 27  1/3

Each can covers 10 m^2

We will need 3 cans

Answer:

3 cans

Step-by-step explanation:

3*9 1/9=27.3 meters^2

the closest  number of cans for 27.3 meters^2 is 3 because

1 can=10 meters^2

2 cans=20 meters^2

3 cans=30 meters^2

so by estimating 3 cans would be the closest compared to 20 and 10.

Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of LaTeX: \frac{8}{3}8 3 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of LaTeX: \frac{11}{5}11 5 inches. What is the volume of the bin with the greatest volume? Explain your answer.

Answers

Answer:

Yellow Bin

Step-by-step explanation:

Yellow Bin

Length = 11.4 inches,

Width = 4.2 inches,

Height =  [tex]\frac{8}{3}[/tex]

Volume of the yellow bin=LWH[tex]=11.4 X 4.2 X \frac{8}{3}=127.68 \:cubic \:inches[/tex]

Red Bin

Length = 9 inches,

Width = 5.45 inches,

Height =  [tex]\frac{11}{5}[/tex]

Volume of the red bin=LWH[tex]=9X 5.45 X \frac{11}{5}=107.91 \:cubic \:inches[/tex]

The yellow bin has a greater volume since 127.68 is greater than 107.91.

A group of finance managers at a car dealership estimates thatt 23% of all cars purchased last year were leases.If a sample of 800 cars sold last year obtained, what is the that more than 208 cars are going to be leased? Draw and label the appropriate curve. Your work must include caculator commands

Answers

Answer:

p = 0.52392

Step-by-step explanation:

Here we have

p = 23% = 0.23

[tex]\hat p[/tex] = 208/800 = 0.26

n = 800

q = 1-p = 0.77

α = 5% = 0.05

Here we have

Z test given by

[tex]z=\frac{\hat{p}-p}{\sqrt{\frac{pq}{n}}}[/tex]

From which we have

From the Cpdf we have Probability = 0.0219, z = 2.016

Therefore from the z score = 0.0683, p = 0.52392 from z table.

12. A company charges $8 to make a pattern for an order of t-shirts and $11 for each t-shirt it produced from the pattern. The expression $11n + $8 represents the cost of n t-shirts with the same pattern. Find the total cost for 35 t-shirts with the same pattern.

Answers

Answer:

Total cost of t-shirts = $393

Step-by-step explanation:

A company charges a fixed rate of $8 for the printing of pattern on the whole order of t-shirts.

It also charges a variable rate of $11 for each t-shirt.

So the equation for the total cost of the t-shirts becomes,

Total cost of t-shirts = $8 + $11n

Where n is the number of t-shirts.

We are given n = 35 t-shirts

So the total cost of t-shirts are,

Total cost of t-shirts = $8 + $11(35)

Total cost of t-shirts = $8 + $385

Total cost of t-shirts = $393


Evaluate 5 + (-4) +(-7) + 2.

Answers

Answer:

-4

Step-by-step explanation:

The correct answer is -4

is 29 a monomial please help

Answers

Answer:

it is

Step-by-step explanation:

Any number, all by itself, is a monomial, like 5 or 2700.

Answer:

Yes it is a monomial

Step-by-step explanation:

There's only one number, there's no operations to do so its a monomial :)

what is this multiplacation?

Answers

Answer:

2 5/18

Step-by-step explanation:

multiply across.

Answer:

improper fraction is 77/18 mixed number form 4 5/18 decimal form 4.27 thank me later

Step-by-step explanation:

In order to answer the question correctly, please use the following image below:

Describe the error in finding the angle measure.

Find the correct angle measure.

m∠SUT=(blank)

What is the error in finding the angle measure? What is the correct angle measurement of SUT?

Please show all the work on how you got your answers.(Note: If you are unable to explain your work then it's fine. All that I am asking for is for the work to be shown so I can see how you got your answers)

Answers

Answer:

  see below

Step-by-step explanation:

The angle where chords cross is the average of the intercepted arcs. Here, that is ...

  (37° +46°)/2 = (83°)/2 = 41.5°

Angle SUT is 41.5°.

_____

Comment on the error

The measure of an arc cannot be arbitrarily said to be the same as the angle where the chords cross. It will be the same if (a) the chords cross at the circle center, or (b) the opposite intercepted arc has the same measure. Neither of these conditions hold here.

Answer:

1) A

2) 41.5°

Step-by-step explanation:

SUT would have been 46° if U was the centre

Angle SUT = (37+46)/2

= 83/2

= 41.5

um i need help with this.

Answers

Answer:

none

Step-by-step explanation:

What is the vertex form of the equation

y= -x^2+10x-30

Answers

Answer:

The answer to your question is Vertex = (5 , -5)

Step-by-step explanation:

Data

Equation                y = - x² + 10x - 30

Process

1.- Add 30 units in both sides

                             y + 30 = -x² + 10x - 30 + 30

2.- Simplify

                             y + 30 = -x² + 10x

3.- Factor -1 in the right side

                             y + 30 = -(x² - 10x      )

4.- Complete the perfect square trinomial

                             y + 30 - 5²= -(x² - 10x + 5²)

5.- Simplify

                             y + 30 - 25 = -(x² - 10x + 25)

                             y + 5 = -(x - 5

6.- Find the vertex

                            Vertex = (5 , -5)

nelson scores 27 out of 40 in a history test. workout his score as a percentage.​

Answers

Answer:

Step-by-step explanation:

25

Answer:

27             X

__    =      __

40           100

cross multiply divide. meaning 27*100 = 40*X. -> 2700 = 40*X. also meaning the answer is 2700 divided by 40 = X.

plug 2700/40 into a calculator. answer 67.5%

Step-by-step explanation:

Evaluate the expression (2a)3

Answers

The answer is 8a^3
Hope this will help u

Final answer:

To evaluate the expression (2a)³, we cube the numeric term, resulting in 8, and multiply the exponent of the variable 'a' by 3, which gives us the final result of 8a³.

Explanation:

The expression given, (2a)³, requires us to cubing of exponentials. Cubing in mathematics involves raising a number or expression to the third power. In this case, the number 2 and the variable a are multiplied together first, and then that result is raised to the power of three. To evaluate this expression, you would do the following steps:

Cube the digit term in the usual way, which is 2 cubed or 23, which equals 8.Multiply the exponent of the exponential term by 3. Since the original expression has the variable 'a' to the first power, multiplying the exponent by 3 means 'a' will now have an exponent of 3.

Combining these results, the expression (2a)³ becomes 8a³.

Please help, geometry

Answers

Step-by-step explanation:

As it is a quadrilateral so sum of all angles of quadrilateral is equal to 360°

14x - 11° + 8x + 7° + 5x + 18° + 10x + 13° = 360°

37x+ 27° = 360°

37x = 360° - 27°

37x = 333°

x = 333° / 37

Therefore x = 9°

Now

<B = 8 * 9° + 7° = 79°

Hope it will help you.

Answer: The answer is 79.0°

Step-by-step explanation:

A quadrilateral will always have 360° and four sides. Keep that in mind, that's a universal rule of geometry.

Here, the sum of all sides is equal to 360°. Therefore, we make an equation:

[tex](14x-11) + (8x+7) + (5x+18) + (10x + 13) = 360[/tex]

Simplify by adding and subtracting like terms.

[tex]37x +27=360[/tex]

Isolate x by first passing the 27 to the other side.

[tex]37x = 333[/tex]

Divide by 37 to isolate x.

[tex]x = 9[/tex]

To find m∠B, we plug in x to [tex](8x+7)[/tex]

which gives you: [tex](8*9+7) = 79[/tex]

The answer is 79.0°

Curious if it is correct? Let's double check.

Plug in the x=9 to all the x values and add them up. You should get 360, which makes the answer correct.

What does vertex in graphs mean?

Answers

Vertex typically means a corner or a point where lines meet. For example a square has four corners, each is called a vertex. The plural form of vertex is vertices. (Pronounced: "ver - tiss- ease"). A square for example has four vertices.

At Central High School, 85% of all senior girls attended and 65% of all senior boys attended the Spring Dance. Of all attendees, 20% won a prize. A. Assuming that the number of senior girls at Central High School is about equal to the number of senior boys, estimate the probability that a randomly selected senior won a prize at the dance. Explain. Enter your answer. B. Construct Arguments If you knew whether the selected student was a boy or a girl, would your estimate change

Answers

Answer:

a) 0.30 (30%)

b) Boy: 0.13 (13%) , Girl : 0.17 (17%)

Step-by-step explanation:

Given:-

- The probability of senior girls attend spring dance, P(GA) = 0.85

- The probability of senior boys attend spring dance, P(BA) = 0.65

- The probability that an attendee wins a prize, P(W) = 0.20

Find:-

Estimate the probability that a randomly selected senior won a prize at the dance.

Construct Arguments If you knew whether the selected student was a boy or a girl, would your estimate change

Solution:-

- First realize that the probability for any senior student to attends the spring dance and winning a prize are independent events.

- So for independent events, the probability that a "girl or a boy" attends the spring dance and wins a prize can be determined:

              P ( GA & W ) = P(GA)*P(W) = 0.85*0.20 = 0.17 (17%)

              P ( BA & W ) = P(BA)*P(W) = 0.65*0.20 = 0.13 (13%)

              P ( (BA & W) U (GA & W) ) = P ( BA & W ) + P ( GA & W )

                                                         = 0.17 + 0.13

              Answer                             = 0.3 (30%)

- So the estimate probability that a randomly selected senior won a prize at the dance is 0.3 or 30% of all attendee.

- If the randomly selected senior was a girl would be the proportion of people who won the prize.

            P ( GA & W ) = 0.17 (17%)

- Similarly, If the randomly selected senior was a boy would be the proportion of people who won the prize.

            P ( BA & W ) = 0.13 (13%)                        

Answer:

a) 30%

b) the estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

Step-by-step explanation:

a) Prob( all senior girl attended) = 85%

    Prob ( all senior boy attended) = 65%

    Prob( won a price)  = 20%

Prob( a senior girl attends and win a price) = 85% x 20%

           = 17%

Prob ( a senior boy attends and win a price) = 65% x 20%

           = 13%

Prob( a senior won a price)  = 17% + 13%

                = 30%

b)   The estimate wouldnt change as far as the probabilities is been maintained. thre can only be a shift in the gender probability depending on whether there are more number of boys or girls.

find the zero of the polynomial
2x²+9x+4​

Answers

Answer:

x=-4 or x=-1/2=-0.500

Step-by-step explanation:

Answer:

x= -4 or x= -0.5

Step-by-step explanation:

use a quadratic formula calculator or graph it on desmos

if angle 5 is 120 degrees, what is the measure of angle 6?

Answers

Final answer:

Without more context, the measure of angle 6 cannot be determined from the given information that angle 5 is 120 degrees.

Explanation:

To determine the measure of angle 6, we need additional information about the context in which angle 5 and angle 6 are related. Since the question does not provide sufficient details, such as whether the angles are supplementary, complementary, or part of a geometric figure like a triangle or polygon, it's not possible to provide the measure of angle 6 based solely on the given information that angle 5 is 120 degrees. In geometry, the relationships between angles often depend on the shapes they are part of or the lines intersecting with them. If angle 5 and angle 6 are supplementary angles (angles that add up to 180 degrees), for instance, we could subtract the measure of angle 5 from 180 degrees to get angle 6. However, without more details, we cannot accurately provide the measure of angle 6.

What is the volume of a cube with a side length that measures 112 ft?

Answers

Answer:

1,404,928 is the volume of a cube with a side length that measures 112 ft

Answer:

1,404,928 is the volume

c^2=4? Anyone want to help?

Answers

Answer: c=2

Step-by-step explanation: the square root of c^2 equals the squae root of 4 which is 2 so your left with c=2

Radiationâ machines, used to treatâ tumors, produce an intensity of radiation that varies inversely as the square of the distance from the machine. At 3â meters, the radiation intensity is 62.5 milliroentgens per hour. What is the intensity at a distance of 2.82.8 âmeters?

Answers

Answer:

71.75 milliroentgens per hour

Step-by-step explanation:

The  intensity(I) of Radiation varies inversely as the square of the distance (D) from the machine.

This is written as:

[tex]I \propto \frac{1}{D^2} \\$Introducing the constant of Variation k$\\I = \frac{k}{D^2} \\$When D=3 meters, I=62.5 milliroentgens per hour$\\62.5= \frac{k}{3^2}\\k=62.5 X 9 =562.5\\$Substituting K=562.5 into the variation equation$\\I = \dfrac{562.5}{D^2} \\$Therefore, When D=2.8 meters$\\Intensity,I = \dfrac{562.5}{2.8^2}=$71.75 milliroentgens per hour$[/tex]

Figure A is a scale image of Figure B.

What is the value of x?

Answers

Answer:

5

Step-by-step explanation:

You see if A is a scale representation of B then 2cm rep 5cm.

thereby, We can say that 1cm rep 2.5cm in the scale.

1cm rep 2.4cm

=12.5cm

12.5 ×1\2.4 =5cm

x=5cm

Solve for x
-18x+21>-15 or 20x-13>27

Answers

Answer:

all value of x are equal

Step-by-step explanation:

Other Questions
What do all community have in common Holmgren Hotels stock has a required return of 8 percent. The stock currently pays a dividend of $1.00 per share. The dividend is expected to stay the same for two years. After two years, the dividend is expected to grow at a rate of 6 percent forever. What should be Holmgrens stock price today? Suppose the marginal propensity to consume is 0.75 and the government spending multiplier is 4. If the government decreases its purchases by $100 million, the aggregate demand curve will shift to the by $ million. If the government increases income taxes by $100 million, the aggregate demand curve will shift to the by $ million. Directions: Using the image and the scenario provided in the trajectory scenario activity Question #1, determine the trajectory the bullet traveled. Drawings are not to scale. Question #1. A bullet from a sniper struck and killed a controversial political figure who was waiting in a nearby car as a passenger. Crime scene investigators are unsure what floor of the building the shot came from. The first floor of the hotel is 25 ft. high. Each subsequent floor is 15 ft. tall. Entry point on car window above horizontal = 12 in. Distance from car window to victim = 42 in. Distance from building to victims car = 350 ft. Using the measurements from the scene, determine what floor of the building the shooter came from. Tips: Convert units to feet, Complete ratio to find the height of the shooter in feet. To determine the floor number from feet: 25 + 15x, The floor number = add one to x. Which means the shooter was on which floor? a 5 b 6 c 7 d 8 A 0.7500 L solution has been boiled down to a new volume of 0.4510 L with a concentration of 2.033 M. What was the initial concentration of the solution? The monthly energy use, in kilowatt hours, for two neighbors is shown in the box plots below.A box plot titled Neighbor 1. The number line goes from 800 to 1400. The whiskers range from 825 to 1350, and the box ranges from 900 to 1025. A line divides the box at 950.Neighbor 1A box plot titled Neighbor 2. The number line goes from 800 to 1400. The whiskers range from 925 to 1400, and the box ranges from 950 to 1050. A line divides the box at 1025.Neighbor 2Which statements accurately compare the two data sets? Select three options.Neighbor 1 tends to use fewer kilowatt hours each month.The median value for Neighbor 2 is 75 kilowatt hours greater than the median value for Neighbor 1.Neighbor 1 had greater variability in the number of kilowatt hours used per month.Neighbor 2 had greater variability in the number of kilowatt hours used per month.The median value for Neighbor 2 is 50 kilowatt hours greater than the median value for Neighbor 1. How does the rule of law remain constant through changes and growth in society? what are Robert E. Lee accomplishments About what fraction of trail cowboys signed up for a second long drive? Which action is most commonly associated with the immune system? What was the greatest cause of weather-related fatalities in the United States in 2008?A. tornadoesB. heatC. flashfloodsD. hurricanes 12 g of coal contains approximately 6 1023 atoms of carbon.How many atoms would be in 1 kg of carbon?Show your working. Dana, age 15, has to deal with constant comments from the boys in her science class about her breast size, skin blemishes, and large hips. Her teacher does nothing to stop these offensive remarks. As a result, Dana's grade in science is compromised. Dana is a victim of _________.A) quid pro quo sexual harassment.B) hostile environment sexual harassment.C) third-party sexual harassment.D) rude boys,but no type of sexual harassment. The fish population of a lake is decreasing each year. A study is conducted. But, unfortunately some data was lost. The researcher found in her notes that in year one the fish population was 18000 fish and in year three the fish population was 8000 fish. Assume a constant rate of decay. Find a formula F Randomization in an experiment reduces bias between the treatment and control groups. How many inches is 50cm? Which correctly distinguishes between a pine tree and an apple tree?The pine tree bears flowers, the apple tree does not have any flowers,The pine tree has unprotected seeds, the apple tree has seeds in fruit.The pine tree is vascular, the apple tree is a seedless, nonvascular plant.The pine tree thrives in warm climates, the apple tree thrives in cold climates, What is the x intercept of the graph of 3x-7y=24 Danube Corp. purchased a used machine for $ 16,000. The machine required installation costs of $ 6,000 and insurance while in transit of $ 800. At which of the following amounts would the machine be recorded?a) $16,000 b) $22,000 c) $16,800 d) $22,800 What is closest to the difference between the means of the two dot plots?