Below is a model of the athletic field at IDEA Brentwood what is the area in square yards

Answers

Answer 1

The area in square yards of the athletic field at IDEA Brentwood would be 170. 24 yards ²

How to find the area ?

The shape of the athletic field at IDEA Brentwood is shown to be a rectangle with two semi - circles attached.

The area of the athletic field at IDEA Brentwood is the sum of the areas of these shapes.

Area of rectangle :

= 15 x 8

= 120 yards ²

The area of the two semi - circles would be:

= π x radius x radius

= π x ( 8 / 2 ) x ( 8 / 2 )

= 50. 24 yards ²

The area of the athletic field at IDEA Brentwood is :

= 50. 24 + 120

= 170. 24 yards ²

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Below Is A Model Of The Athletic Field At IDEA Brentwood What Is The Area In Square Yards

Related Questions

In a coordinate plane, what is the distance between the points (6,−10)
and (6,−7)
?

Answers

The distance between the points (6,−10) and (6,−7) is 3 units

What is the distance between the points (6,−10) and (6,−7)?

From the question, we have the following parameters that can be used in our computation:

Points (6,−10) and (6,−7)

Because the points have the same x coordinate, the distance between the points (6,−10) and (6,−7) is the difference between the y coordinates

Using the above as a guide, we have the following:

Distance = -7 - -10

Evaluate

Distance = 3

Hence, the distance between the points (6,−10) and (6,−7) is 3 units

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50 Points! Multiple choice algebra question. Photo attached. Thank you!

Answers

The result of the logarithm function is equal to 9. (Correct choice: D)

How to determine the missing component in a logarithm

The statement shows an incomplete logarithm, whose result must be found by understing relationships between trascendent functions. Logarithm functions and exponential functions are related in the following way:

aᵇ = n ↔ ㏒ₐ n = b

Where:

a - Baseb - Exponentn - Result

If we know that (base) a = 3 and (exponent) b = 2, then the value of the result (n) is now defined:

n = 9

3² = 9

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Madison tossed a paper cup and records wether it lands on its side. In 20 trails the cup lands on its side 19 times. In 90 trials the cup lands on its side 81 times

Answers

Answer:90% probability

Step-by-step explanation:

To calculate the experimental probability of the cup landing on its side, we can use the formula:

experimental probability = number of times the cup landed on its side / total number of trials

For the first set of trials, the experimental probability is:

experimental probability = 19/20 = 0.95

For the second set of trials, the experimental probability is:

experimental probability = 81/90 = 0.9

So the experimental probability of the cup landing on its side for the first set of trials is higher than for the second set of trials. However, since the number of trials is relatively small, it is possible that this difference is due to chance and does not reflect a real difference in the probability of the cup landing on its side. To determine this with more confidence, we would need to conduct more trials and perform statistical tests to determine whether the difference is statistically significant.

Is the antiderivative of 20c to the 9th power dc equal to 20c to the 10th power over (divided by) 10?

Answers

Yes, that's correct! The antiderivative of 20c to the 9th power dc is indeed equal to 20c to the 10th power over (divided by) 10 ¹.

In general, an antiderivative of a function f(x) is a function F(x) whose derivative is equal to f(x). The antiderivative of a polynomial function is obtained by adding one to the exponent of each term and dividing by the new exponent ⁵.

A researcher is analyzing bacteria on a door handle after cleaning it with antibacterial disinfectant. Initially there were 15 bacteria, but the researcher noticed that the number of bacteria quadruples every hour,t. Write a function B(t) to represent the number of bacteria t hours after the initial measurement. Write a exponential function

Answers

The exponential function representing the number of bacteria t hours after the initial measurement is B(t) = 15 (4[tex])^t[/tex].

The function B(t) can be represented by an exponential function of the form:

B(t) = a[tex]b^t[/tex]

where 'a' is the initial number of bacteria and 'b' is the growth factor or rate at which the number of bacteria quadruples.

Given that the initial number of bacteria is 15 and the number of bacteria quadruples every hour, we can express 'b' as:

b = 4¹ = 4

Substituting the values of 'a' and 'b' in the general form of exponential function, we get:

B(t) = 15 (4[tex])^t[/tex]

Therefore, the exponential function representing the number of bacteria t hours after the initial measurement is B(t) = 15 (4[tex])^t[/tex].

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The amounts of nicotine in a certain brand of cigarette are normally distributed with a mean of 8.2 mg and a standard deviation of 1.45 mg. The company that produces these cigarettes claims that it has now reduced the amount of nicotine. The supporting evidence consists of a sample of 42 cigarettes with a mean nicotine amount of 7.73 mg.

Assuming that the given mean and standard deviation have NOT changed, find the probability of randomly seleting 42 cigarettes with a mean of 7.73 mg or less.
P(M < 7.73 mg) = ???

Answers

The probability of randomly selecting 42 cigarettes with a mean of 7.73 mg or less is:  0.0179

How to find the p-value from z-score?

The formula to find the z-score of the given normal distribution is:

z = (x' - μ)/(σ/√n)

where:

x' is sample mean

μ is population mean

σ is standard deviation

n is sample size

We are given:

x' = 7.73 mg

μ = 8.2 mg

σ = 1.45 mg

n = 42

Thus:

z = (7.73 - 8.2)/(1.45/√42))

z = -2.1

From online p-value from z-score calculator, we have:

p = 0.0179

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A car and a bus left Sunrise Village for Sunset Village of the same time, travelling along the
same route. After travelling for 4 h, the car reached Sunset Village, but the bus had only
completed 5/8 of the journey. The bus travelled at a speed which was 30 Km/h slower than the car
a) Find the distance between the two villages.
b) Find the average speed of the bus.

Answers

Answer:

a) 192Km

b) 50

Step-by-step explanation:

A bank charges a monthly fee of 0.5% for a checking account. Lily’s account has $325 in it. Which function models the balance B of Lily’s account in dollars, as a function of time in months?
A. B(t) = 325(1 − 0.005)t
B. B(t) = 325(1 + 0.0005)t
C. B(t) = 0.05(1 − 3.25)t
D. B(t) = 325 + 12(1 + 0.0005)t

Answers

The correct function that models the balance B of Lily’s account as a function of time in months is option A, which is B(t) = 325(1 − 0.005)ᵗ.

To see why, we can start with the initial balance of $325 and note that each month, the bank charges a monthly fee of 0.5%, which is equivalent to a monthly interest rate of 0.005. This means that after one month, the balance will be reduced by 0.5% or 0.005 times the original balance, giving:

B(1) = 325 - 0.005(325)

Similarly, after two months, the balance will be reduced by another 0.5% of the new balance, giving:

B(2) = (325 - 0.005(325)) - 0.005(325 - 0.005(325))

We can simplify this expression by factoring out the common factor of 325(1 - 0.005) after each term, giving:

B(2) = 325(1 - 0.005)²

Generalizing this pattern, we can see that after t months, the balance will be:

B(t) = 325(1 - 0.005)ᵗ

Therefore, option A is the correct function that models the balance of Lily’s account.

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Another Statistics question pls help me

Answers

Answer:

55

Step-by-step explanation:

0* .4

28*.5

410*.1

50 Points! Multiple choice algebra question. Identify the type of regression that returns the equation y=3x^2. Photo attached. Thank you!

Answers

Answer:

C Exponential

Step-by-step explanation:

3x^2 -- its using an exponent

A regular pentagon has an apothem of
3 cm and a side length of 4.4 cm, find
its area.

Answers

The area of the polygon is 33cm²

What is area of polygon?

A polygon is any closed curve consisting of a set of line segments (sides) connected such that no two segments cross.

The area of a polygon is expressed as;

A = 1/2 × p × a

where p is the perimeter of the polygon and a is the apothem.A pentagon is a 5 sides polygon.

Therefore;

Perimeter = 5 × 4.4

= 22cm

apothem = 3cm

area = 1/2 × 22 × 3

= 11× 3

= 33 cm²

therefore the area of the Pentagon in is 33cm²

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Select the expression that is less than 10 2/3.

A. 10 2/3 x 9/10

B. 1 x 10 2/3

C. 10 2/3 x 2 1/3

D. 2 1/8 x 10 2/3

Answers

Answer:

A

Step-by-step explanation:

A recent study of high school students shows the percentage of females and males who took advanced math courses. A simple random sample of high school students was interviewed. The students were asked whether they had taken an advanced math course. Of the 150 females, 53 answered yes, as did 89 of the 275 males.


Part A: Construct and interpret a 98% confidence interval for the difference in population proportions of females and males who took advanced math courses. Be sure to state the parameter, check conditions, perform calculations, and make conclusion(s). (8 points)


Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain. (2 points)

Answers

Construct and interpret a 98% confidence interval for the difference in population proportions of females and males who took advanced math courses.

The parameter of interest is the difference in population proportions of females and males who took advanced math courses. We can denote this parameter by p₁ - p₂, where p₁ is the population proportion of females who took advanced math courses, and p₂ is the population proportion of males who took advanced math courses.

To construct a confidence interval for the difference in population proportions, we need to check the following conditions,

The sample of high school students should be a simple random sample.

The sample of high school students should be independent of each other.

Both groups of females and males who took advanced math courses should have at least 10 successes and 10 failures.

The sample proportions of females and males who took advanced math courses can be calculated as follows,

p₁ = 53/150 = 0.353

p₂ = 89/275 = 0.324

The sample size of females and males can also be calculated as follows,

n₁ = 150

n₂ = 275

The standard error of the difference in sample proportions can be calculated as follows,

SE = √[(p₁(1 - p₁))/n₁ + (p₂(1 - p₂))/n₂]

= √[(0.353(1 - 0.353))/150 + (0.324(1 - 0.324))/275] ≈ 0.048

Using a t-distribution with (n₁ + n₂ - 2) degrees of freedom and a 98% confidence level, we can construct a confidence interval for the difference in population proportions as follows:

(p₁ - p₂) ± t*SE

where t is the t-score corresponding to a 98% confidence level and (n₁ + n₂ - 2) degrees of freedom. Using a t-table, we can find that t ≈ 2.33.

Substituting the values into the formula, we get,

(0.353 - 0.324) ± 2.33*0.048

0.029 ± 0.112

True difference in population proportions of females and males who took advanced math courses lies between 0.029 and 0.147.

Part B: Does your interval from part A give convincing evidence of a difference between the population proportions? Explain.

Yes, our interval from part A gives convincing evidence of a difference between the population proportions because it does not contain zero. The interval (0.029, 0.147) is entirely positive, which means that the proportion of females who took advanced math courses is higher than the proportion of males who took advanced math courses. Additionally, the interval does not contain the value of one, which means that the difference in population proportions is not due to chance. Therefore, we can conclude that there is a significant difference in the population proportions of females and males who took advanced math courses.

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A science class measured the mass of an amount of sand.about how many grains of sand are there in 7 grams of sand

Answers

Therefore , the solution of the given problem of expressions comes out to be there are roughly 7,000 grains of sand in 7 grammes of sand.

What exactly is an expression?

Instead of using random estimates, it is preferable to use shifting numbers that may also prove increasing, reducing, variable or blocking. They could only help one another by trading tools, information, or solutions to issues. The justifications, components, or quantitative comments for tactics like further disagreement, production, and blending may be included in the assertion of truth equation.

Here,

A kilogramme (1000 grammes) of sand is thought to contain around 1 million grains of sand. This indicates that 1 gramme of sand contains roughly 1000 grains of sand.

Using this calculation, we can determine how many sand grains there are in 7 grammes roughly as follows:

=> Number of sand grains in 7 grammes = (# of sand grains in 1 gramme) x (7 grams)

=> 1000 x 7 = the number of sand grains in 7 grammes.

=> 7,000 sand grains are included in 7 grammes.

In accordance with this calculation, there are roughly 7,000 grains of sand in 7 grammes of sand.

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Please help !!!!!
!!!!!

Answers

Answer: 10w + 3 + 4.5w = 90

Step-by-step explanation:

a right angle is 90 degrees, so 10w + 3 and 4.5w have to add up to 90 degrees

According to the graph, what is the maximum number of passengers he can transport What is the maximum amount he can collect? Use the graph to determine the amount he charges a single passenger.​

Answers

I can't see the chart...

Can someone please help me with this

Answers

Answer:

cot(65 deg)

Step-by-step explanation:

cot(x) is the complimentary func. of tan(x) with the relation:

tan x = cot (90 - x) and

cot x = tan (90 - x)

lmop are the angles LN is the diagonal the sides are missing

Answers

All four angles of the rhombus are 20, 160, 20, and 160 degrees.

What is meant by diagonal of an angle ?

Diagonals are the parts of a shape, in geometry, a diagonal is a line that join two vertices of a polygon or a solid shape , whose vertices are not on the same edge. In general, a diagonal is called  as a sloping line or the slant line, that connects to the vertices of a shape.

According to question a rhombus , all four sides are congruent and opposite angles are equal. Let's call the rhombus ABCD, where AB, BC, CD, and DA are the four sides, and AC and BD are the diagonals.

If one of the angles formed by diagonals and adjacent sides is 20 degrees, let's say that angle is ABD. We can draw a line from point A to point C, which will divide the rhombus into two congruent triangles, ABC and ACD.

Since triangle ABC is isosceles, with sides AB = BC, angles ABC and BCA are equal. Similarly, in triangle ACD, angles ACD and CDA are equal.

∴ angles ABD and CDA are adjacent angles formed by intersecting lines, they must add up to 180 degrees. Therefore, angle CDA is 160 degrees.

If triangles ABC and ACD are congruent, angle CAD is also 20 degrees.

Now we can use the fact that opposite angles in a rhombus are equal. Angles BCD and ABD are opposite angles, so angle BCD is also 20 degrees. Similarly, angles BAC and ADC are opposite angles, so angle BAC is also 160 degrees.

Therefore, all four angles of the rhombus are 20, 160, 20, and 160 degrees.

Complete question  If one of the angles formed by diagonals and adjacent sides. of Is 20, all four angles of the a rhombus are.

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find x

find x

find x

Answers

x = 6.

Add the total length + the length outside of the circle and set it equal to the other segment’s total length + the length outside of the circle. Like this: (10+8)(8) = x(18 + x).
Then simplify to 144 = x^2 + 18x.
Use the quadratic formula (see picture), and x=6, x=-24. Except x ≠ -24 because the length cannot be a negative value. So x = 6!!
Here is a picture of my work:

I’m on my phone so it’s harder to type out the equations. Hope this helps!

y = 25 - 2x need input x and output y 21 and 19

Answers

If we substitute x = 21 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(21)

Y = 25 - 42

Y = -17

Therefore, if x = 21, then Y = -17.

If we substitute x = 19 into the equation Y = 25 - 2x, we get:

Y = 25 - 2(19)

Y = 25 - 38

Y = -13

Therefore, if x = 19, then Y = -13.


Factor out the Greatest Common Factor (GCF): 64d³ - 24d²

Answers

The factored form of 64d³ - 24d² is 8d²(8d³ - 3).

Define greatest common factor

The greatest common factor (GCF), also known as the greatest common divisor (GCD), is the largest positive integer that divides two or more numbers without leaving a remainder. In other words, it is the largest number that divides evenly into two or more given numbers. For example, the GCF of 12 and 18 is 6, since 6 is the largest number that divides both 12 and 18 without leaving a remainder.

The greatest common factor (GCF) of the given terms is 8d². We can factor it out by dividing each term by 8d²:

64d³/8d² - 24d²/8d²

Simplifying the fractions:

8d³ - 3

Therefore, the factored form of 64d³ - 24d² is 8d²(8d³ - 3).

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A medical researcher claims that the proportion of people taking a certain medication that develop serious side effects is 12%. To test this claim, a random sample of 900 people taking the medication is taken and it is determined that 93 people have experienced serious side effects. The following is the setup for this hypothesis test: H0:p=0.12 Ha:p≠0.12 Find the p-value for this hypothesis test for a proportion and round your answer to 3 decimal places. The following table can be utilized which provides areas under the Standard Normal Curve:

Answers

The p-value from the hypothesis is 0.0583 which is not significant at p<0.05

What is the p-value

To determine the p-value of the hypothesis, we need to use the formula;

z = (x - a) / √(a(1 - a)/n)

a = hypothesized proportionx = sample proportionn = sample size

x = 93 / 900 = 31/300 = 0.103

a = 12% = 12/100 = 0.12

n = 900

Substituting the values into the formula;

z = (0.103 - 0.12)/√(0.12(1 - 0.12)/900)

z = -0.017 / √0.0001173

z = -1.569

Using a standard normal distribution table;

p-value = 0.058324

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<
1
0.964
8.92
-0.982 increasing decreasing strong
z, hours
y.gallons
Generate a linear regression equation and a correlation coefficient for these data.
1
9.2
2
The linear regression equation is y =
This means there is a ¦
8.4
The correlation coefficient is
O
The number of of gallons is
3
7.7
4
6.1
weak -1.17 10.69
O+O
5
4.5
correlation between the gallons and hours.
as the hours are increasing.
-0.82

Please help bro. Im struggling.

Answers

1. The linear regression equation is y = -1.17x+ 10.69

2. The correlation coefficient is -0.982.

3. This means there is a strong negative correlation between the gallons and hours.

4. The number of gallons is decreasing as the hours are increasing.

How do we calculate for the linear regression equation and correlation coefficient?

Step 1: find slope.

Formula for slope m = (n × Σ(xy) - Σx × Σy) / (n × Σ(x²) - (Σx)²)

Σx = 1 + 2 + 3 + 4 + 5 = 15

Σy = 9.2 + 8.4 + 7.7 + 6.1 + 4.5 = 35.9

Σ(xy) = (1 × 9.2) + (2 × 8.4) + (3 × 7.7) + (4 × 6.1) + (5 × 4.5) = 96

Σ(x²) = 1 + 4 + 9 + 16 + 25 = 55

n = 5

Therefore ∴

m = (5 × 96 - 15 × 35.9) / (5 × 55 - 15²) = -1.17

y-intercept b = (Σy - m × Σx) / n

b = (35.9 - (-1.17) × 15) / 5 = (53.15) / 5 = 10.63

Therefore the linear regression equation is y = -1.17x + 10.63

correlation coefficient (r): (n × Σ(xy) - Σx × Σy) / sqrt((n × Σ(x²) - (Σx)²) × (n × Σ(y²) - (Σy)²))

r = (5 × 96 - 15 × 35.9) / sqrt((5 × 55 - 15²) × (5 × 271.95 - 35.9²)) = -0.982

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PLEASE HELP !!! MAJOR GRADE!!!!

Column A

1. A set of two of more linear equations that contain 2 or more variables.
2. When there is no answer to a system of equations or inequalities.
3. There is only one value for the variable that makes the equation true.
4. Terms with the same variables raised to the same exponent.
5. Equation is solved for one variable and that solution is substituted into the second equation.
6. A value that makes the equation true.
7. Adding subtracting or multiplying a system of equations to help solve a system.
8. A linear equation in one variable has infinitely
many solutions.
9. A letter that represents one or more numbers.
10.This is the number in front of the variables in a term

Column B

a. Elimination
b. Substitution
c. Solution
d. Infinitely Many Solutions
e. No solutions
f. System of Equations
g. Variable
h. Like Terms
i. One solution
j. Coefficients

Answers

Answer:

1. f. System of Equations

2. e. No solutions

3. i. One solution

4. h. Like Terms

5. b. Substitution

6. c. Solution

7. a. Elimination

8. d. Infinitely Many Solutions

9. g. Variable

10. j. Coefficients

Step-by-step explanation:

Ur welcome :)

I have two similar triangles and can't find x. since I'm too lazy to download the app, the larger one has two sides of 6 and 12 and the smaller has two sides of x-3 and x+1. what is x??

Answers

The x is -2
Because -3 + 1 is -2
Easy

Answer:

7

Step-by-step explanation:

We can use the fact that the corresponding sides of similar triangles are in proportion to each other.

Let's compare the corresponding sides of the two triangles:

Corresponding sides and ratio

larger triangle's side of length 6 larger triangle's side of length 12

Ratio

smaller triangle's side of length x-3smaller triangle's side of length x+1

Since the triangles are similar, we know that these ratios are equal. That is,

6 / (x-3) = 12 / (x+1)

We can simplify this equation by cross-multiplying:

6(x+1) = 12(x-3)

Expanding and simplifying:

6x + 6 = 12x - 36

42 = 6x

x = 7

Therefore, x has a value of 7.

1. A sample of 250 high-school students in a city results in an average number of text messages sent per month of 172.6, with a margin of error of + 4.8. If there are 3000 high-school students in the city, what is the estimated number of text messages sent in a month? between______ and____text messages ​

Answers

Answer:

Step-by-step explanation:

1) Find the upper bound of the confidence interval:

Upper bound = sample mean + margin of error

= 172.6 + 4.8

= 177.4

2) Find the lower bound of the confidence interval:

Lower bound = sample mean - margin of error

= 172.6 - 4.8

= 167.8

3) Estimate the total number of text messages sent in a month:

Total number of text messages sent = (number of students in the population / number of students in the sample) x sample mean

        = (3000 / 250) x 172.6

        = 2071.2

Therefore, the estimated number of text messages sent in a month is 2071.2, with a 95% confidence interval between 167.8 and 177.4 text messages.

Answer:

Between 503400 and 532200 text messages

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

Determine the average number of text messages sent per student within the margin of error

Find lower bound:

172.6 - 4.8 = 167.8 text messages

Find upper bound:

172.6 + 4.8 = 177.4 text messages Estimate the total number of text messages for all 3000 students

Lower bound:

167.8 text messages × 3000 students = 503400 text messages

Upper bound:

177.4 text messages × 3000 students = 532200 text messages

The estimated number of text messages sent in a month for all 3000 high-school students in the city is:

Between 503400 and 532200 text messages

Solve for x.
A
Set up the proportion.
XI7

Answers

The solution for the variable x is x = 8.4

How to determine the solution for the variable x

from the question, we have the following parameters that can be used in our computation:

The right triangle

Using the proportion of similar triagles, we have

x/7 = 10/x

This gives

x * x = 7 * 10

So, we have

x² = 70

Next, we have

x = √70

Evaluate

x = 8.4

Hence, the solution for the variable x is x = 8.4

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Can someone please answer these 2 questions asap and please show me the breakdown of it so I learn a better way of doing it.

Answers

Answer:

x = 5√2, x = 3√2

Step-by-step explanation:

Question 1:

Using the 30-60-90 triangle properties, YX = WX /√3.

YX = 5√3 /√3 = 5.

Using the 45-45-90 triangle properties, x = YX *√2.

x = 5 *√2 = 5√2.

Question 2:

Using the 45-45-90 triangle properties, BC = AB *√2.

BC = 6 *√2 = 6√2.

Using the 30-60-90 triangle properties, x = BC / 2.

x = 6√2 / 2 = 3√2.

Express each of the following as (i)Percentage (ii)Decimal :

a) 3¾ (b) 6½/50

Answers

a) i) 3¾ : 100 = 0.0375
ii) 3¾ = 3.75
b) i) 6½/50 = 6.5/50/100 = 0.0013
ii) 6½/50 = 6.5/50 = 0.13

Solve the system of equations.

y=4x2+3x−5y=2x2+x+7

What is the sum of the y-coordinates of the solutions to the system?

Enter your answer in the box.

Answers

Answer:

37

Step-by-step explanation:

We are given the system of equations:

y = 4x^2 + 3x - 5

y = 2x^2 + x + 7

We can set the two equations equal to each other to get:

4x^2 + 3x - 5 = 2x^2 + x + 7

Simplifying, we get:

2x^2 + 2x - 12 = 0

Dividing both sides by 2, we get:

x^2 + x - 6 = 0

Factoring the left-hand side, we get:

(x + 3)(x - 2) = 0

Therefore, the solutions are x = -3 and x = 2.

To find the corresponding y-coordinates, we can plug these values of x into either of the original equations. Using the first equation, we get:

y = 4(-3)^2 + 3(-3) - 5 = 16

and

y = 4(2)^2 + 3(2) - 5 = 21

Therefore, the sum of the y-coordinates of the solutions is:

16 + 21 = 37

Answer: 37.

Other Questions
HEATINTRODUCTIONHeat is a measure of the energy in a system. The transfer of energy is always from the system with more energy to the system with less energy. This lab has two distinct parts. In the first part, you will examine what happens to a gas when the temperature is changed. In the second part, you will use the idea of energy transfer to move water. You will need to be familiar with the ideas of phases (solid, liquid and gas), what specific heat is, and how to calculate joules. Please see pages 93-94, 99-101, and 106-110 in your textbook.MATERIALS1 small mouth (or small neck) bottle a soda bottle should work 1 coin (dime or penny must cover completely mouth of bottle)1 large container to submerge at least the bottle (sink, tub, bowl, etc.) Enough cold water to submerge the bottleMeasuring cups Food coloring in kit 4 cups water1 large bowl to hold water a clear glass one works best1 small glass that will extend above water level when in bowl Saran wrap/cling film enough to cover bowl1 small object (example: pebble, coin, marble) Sunny days (3-4)Lab 11 - HeatPage 1 | 4PART#1: Magic Coin?Procedure:Fill selected container with some cold water.Place the bottle and coin in the bowl of water to chill them. The bottle must be submerged upside down. Submerge at least the neck of the bottle but if you have no coin activity on step four, repeat this step with either a greater amount of submersion or submerge the bottle for a greater amount of time.Place the coin on the top of the bottle. There should be an airtight seal when you place the coin on the top of the bottle.Wrap your hands around the bottle and wait for several seconds to a minute.When you believe that the bottle is warmer than room temperature, allow the bottle to cool with the coin in place. Answer the following questions based on your observations.Questions:Approximately how long did you submerge the bottle in step #2?What happened during step #4?What happened during step #5?Explain what is happening to the molecules to create the coin activity.PART#2: DistillationProcedure:Add the water to the bowl.Stir in the food coloring until it is distributed equally.Place the empty glass (small) in the middle of the large bowl so that none of the Lab 11 - HeatPage 2 | 4colored water can get into the glass. The glass must be short enough that it does not extend beyond the rim of the glass bowl.Note: If the glass bowl is not working because the small empty glass is not stable, a stock pot/dutch oven (with a flat bottom) will work but it will need to be left alone for a little more time.Cover the large bowl completely with the saran wrap so that no air can pass through.Add the small object on the saran wrap so that the saran wrap dips in over the small empty glass but does not cause the saran wrap to slip off the lip of the bowl. Use a smaller pebble or coin if the first one is too heavy.Leave the bowl in the sunlight for a few days and watch to see what happens.Remove the small glass and measure the amount of water in it with the measuring cups (estimating to the nearest 1/8 cup). Contact me immediately if the amount of water in the small glass is less than 1/8 cup.Questions:How is the water in the large bowl different from the water in the small glass?Describe step by step what happened to the water that is now in the small glass in terms of heating/cooling, phase changes, etc. (Hint: there is more than one step required)How many cups of water (to the nearest 1/8 cup) are in the small glass?How many grams of water did you collect? The relationship between cups and grams is: 1 cup = 236 gramsHow many calories are needed to heat the water? Assume the following information:The original temperature of the water in the large bowl was 25 C.The temperature of a molecule that changes from liquid to gas is 100 C.The specific heat of water is 1.00 cal/gCLab 11 - HeatPage 3 | 4You will need the equation for specific heat (equation 4.4)How many calories are needed to evaporate the water?The latent heat of vaporization of water is 540.0 cal/g You will need equation 4.6 in the textbook.How many calories (total) are needed to move the water from the large bowl to the small glass?Notes: Ignore the amount of water that was not moved The water molecules must warm AND change state The porcelain doll that Esperanza brought from Mexico is an important symbol in Esperanza Rising. Explain what the doll stands for in the novel and what it says about how Esperanzas character develops when she gives the doll to Isabel A company needs to sell 90,000 units to reach the target profit of $180,000. if each unit sells for $7. 50, the total sales dollars needed to reach the target profit is $ In what form is the hereditary information encoded in the DNA molecule? Cual es la importancia de las bellas artes en la sociedad moderna? Name THREE ways in which a dirty living environment can negatively affect the general well-being of those who live in it? Use the given feasible region to find the maximum possible value of the objective function f=5x+6y A company pays off a $200 liability taken out to purchase equipment using abusiness line of credit. Which of the following should be included in thistransaction?A. a $200 debit to Accounts ReceivableB. a $200 credit to CashC. a $200 debit to EquipmentD. a $200 credit to Accounts Payable The ___ approach to motivation emphasizes the role of instincts in directing behavior. W.E.B Du Bois important events 3 For y=f(x) = 9x, x= 3, and Ax = 0.03 find a) y for the given x and Ax values, b) dy = f'(x)dx, to) dy for the given x and Ax values. Compare the benefits that many companies offer today versus the types of benefits that were offered to employees 25 years ago.How have they changed?What is the importance of these changes in regards to its employees?Are they better or worse?Make sure you are able to substantiate your responses with specific benefits/compensation. When sodium hydroxide reacts with a cropper nitrate solution, the reaction vessel needs to be kept on ice to slow down the reaction what does describes this reaction Find The Area Of This Shape. When reading an informational text that proposes a solution to a problem, what should the reader evaluate? Select one: a. the potential success of the solution b. the details used to describe the problem c. the sequence of events that led to the problem d. the similarities and differences between this and other problems Marshall is renting a bike for the day. It costs $13 for up to one hour. After one hour, the price increases to $20. After three hours, the price increases again to $50. The maximum time he can rent the bike is 10 hours total as the manager of a garden/feed retail store, you order several items specifying that they are to be packaged in ten-pound plastic bags. your supplier responds that the requested items will be shipped in twenty-pound cardboard boxes and that the items are solf free of any express or implied warranties. what should you do upon receiving your supplier's response? Select and research a company that is having financial difficulties or is on the brink of bankruptcy. Rafael finished the Boston Marathon ( 26.2 miles) in 4.75 hours. At this pace, how long would it take him to run a 50 mile marathon in Washington D.C? A woman applies a 10 Newton force and uses 100 joules of energy to push a cart of groceries. How much work did she perform