Find the following areas. = cos(38).
(a) Find the area inside one loop of r = cos(30).
(b) Find the area inside one loop of r = sin² 0.
(c) Area between the circles r = 2 and r = 4 sin 0,
(d) Area that lies inside r = 3 + 3 sin and outside r = 2.

Answers

Answer 1

(a) The area inside one loop of r = cos(30) is equal to π/3 square units. (b) The area inside one loop of r = sin^2(θ) is equal to π/2 square units. (c) The area between the circles r = 2 and r = 4 sin(θ) is equal to 6π square units. (d) The area that lies inside r = 3 + 3 sin(θ) and outside r = 2 is equal to 9π/2 square units.

(a) To find the area inside one loop of r = cos(30), we need to integrate the function r^2 with respect to θ over one complete revolution. In this case, the limits of integration are 0 to 2π. Evaluating the integral, we get (1/3)π - (-1/3)π = π/3 square units.

(b) To find the area inside one loop of r = sin^2(θ), we follow a similar approach and integrate r^2 with respect to θ over one complete revolution. The limits of integration are again 0 to 2π. Evaluating the integral, we get (1/2)π - 0 = π/2 square units.

(c) To find the area between the circles r = 2 and r = 4 sin(θ), we calculate the area enclosed by the outer circle (r = 4 sin(θ)) and subtract the area enclosed by the inner circle (r = 2). Integrating r^2 with respect to θ over one complete revolution, the area is given by (1/2)∫(16sin^2(θ) - 4) dθ from 0 to 2π. Evaluating the integral, we get 6π square units.

(d) To find the area that lies inside r = 3 + 3 sin(θ) and outside r = 2, we calculate the area enclosed by the outer curve (r = 3 + 3 sin(θ)) and subtract the area enclosed by the inner curve (r = 2). Integrating r^2 with respect to θ over one complete revolution, the area is given by (1/2)∫((3 + 3 sin(θ))^2 - 4) dθ from 0 to 2π. Evaluating the integral, we get 9π/2 square units.

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Related Questions


Write an explicit formula for each sequence. Then generate the first five terms. a₁ =100, r=-20

Answers

Given a₁ = 100, r=-20, the explicit formula of the geometric sequence is: a(n) = 100 . (-20)ⁿ⁻¹, and the first five terms are: 100, -2000, 40000,  -800000, 16000000

Let

a₁ = the first term

r = ratio

The n-th term of a geometric sequence is given by:

a(n) = a₁ . r^(n-1)

To find the explicit formula, substitute a₁ = 100, r=-20

a(n) = 100 . (-20)ⁿ⁻¹

The first 5 terms:

a₁ = 100

a(2) = 100 . (-20)²⁻¹

       = 100 . (-20)¹ = -2,000

a(3) = 100 . (-20)³⁻¹

       = 100 . (-20)² = 40,000

a(4) = 100 . (-20)⁴⁻¹

       = 100 . (-20)³ = -800,000

a(5) = 100 . (-20)⁵⁻¹

       = 100 . (-20)⁴ = 16,000,000

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Paper Company receives a $4,700, 3-month, 11% promissory note from Dame Company in settlement of an open accounts receivable. What entry will Paper Company make upon receiving the note?

Answers

Paper Company will make the following entry:

Debit: Notes Receivable - Dame Company $4,700

Credit: Accounts Receivable $4,700

What is an entry?

An "entry" in accounting refers to the recording of a financial transaction or event in the company's books or accounting system. It is the process of documenting the impact of a transaction on the financial statements.

1. Debit: Notes Receivable - Dame Company ($4,700) - This account represents the amount owed to Paper Company by Dame Company and is classified as a noncurrent asset since it will be settled in more than one year.

2. Credit: Accounts Receivable ($4,700) - This account represents the open accounts receivable from Dame Company, which is now being settled through the promissory note.

By making this entry, Paper Company acknowledges the receipt of the promissory note and removes the outstanding accounts receivable from their books, replacing it with a notes receivable asset.

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F(x) = 18x + 13, find F(4)

Answers

Answer:

f(4) = 85.

Step-by-step explanation:

When you substitute the 4 into the x and solve for f(4), all that means is that every x in the equation becomes 4.  There's only one on the right side: the 18x.  This becomes 18*4, or 72, which is then added to 13, to get 85.

Answer:

F(4) = 85

Step-by-step explanation:

F(x) = 18x + 13

F(4) = 18(4) + 13

F(4) = 72 + 13

F(4) = 85

Serenity filled up her car with gas before embarking on a road trip across the country. Let � G represent the number of gallons of gas remaining in her gas tank after driving for � t hours. A graph of � G is shown below. Write an equation for � G then state the � y-intercept of the graph and determine its interpretation in the context of the problem.

Answers

The equation is: G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

How to find the linear equation of the graph?

The formula for the equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the graph, we see that:

y-intercept = 15 gallons

Now, the slope is gotten from the formula:

Slope = (y₂ - y₁)/(x₂ - x₁)

Slope = (10 - 5)/(4 - 8)

Slope = -⁵/₄

Thus, equation is:

G = -⁵/₄t + 15

The slope of the function represents that ⁵/₄ gallons of gas is consumed to drive the car for one hour.

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Serenity filled up her car with gas before embarking on a road trip across the country. Let G represent

A bakery used 35% more sugar this month than last month. If the
bakery used 360 kilograms of sugar last month, how much did it use this
month?

Answers

Answer:

486 kg

Step-by-step explanation:

(Calculator)

360 + 35%

=486

I hope it is correct

q+10q+4q q+10q+4qq+10q+4q

Answers

3q+30q+12q = 45q

Hope that helped :)

Answer:

35q+8qq

Step-by-step explanation:

i know is ryt

but y did u separate de first 4's other q like dat?

the place value of 4 in 149 is???​

Answers

Answer:

Ten

Step-by-step explanation:

The 4 is the tens place value in the number

Answer:

the pv of 4 in 149 is

4 tens or 40

hope it helps!!!

Please simplify thx
25–√5 −29√6+ 14√5 −6–√6

Please simplify thx 255 296+ 145 66

Answers

Therefore, the simplified form of the expression 25√5-29√6 + 14√5-6√6 is 39√5 - 35√6.

What does a mathematics expression mean?

Mathematical expressions consist of at least two integers or factors, at least one maths procedure, and a sentence. With this mathematical operation, you can increase, split, add, or take something away. An expression's form is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

Grouping the terms with the same radical expressions:

= (25√5 + 14√5) + (-29√6 - 6√6)

= 39√5 - 35√6

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Mr. Chan wants to sell some or all of his shares of stock in a company. He purchased the 90

shares for $0. 50 each last month, and the shares are now worth $3. 80 each. Write an inequality

which describes how much profit, p, Mr. Chan can make by selling his shares.

Answers

The profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.

To determine the profit Mr. Chan can make by selling his shares, we need to calculate the difference between the selling price and the purchase price of each share and then multiply it by the number of shares sold.

Let's denote the profit as 'p'. The selling price per share is $3.80, and the purchase price per share is $0.50. Mr. Chan has 90 shares.

The profit made from selling the shares can be calculated as:

Profit (p) = Selling Price per Share - Purchase Price per Share

Since Mr. Chan can sell any number of shares (from 0 to 90), we need to multiply the profit per share by the number of shares sold.

The inequality describing the profit Mr. Chan can make by selling his shares is:

p >= (Selling Price per Share - Purchase Price per Share) * Number of Shares

Substituting the given values:

p >= ($3.80 - $0.50) * 90

Simplifying the expression:

\(p\ ^ > _- $ 3.30 * 90\\p\ ^ > _- $297\)

Therefore, the inequality describing the profit Mr. Chan can make by selling his shares is p >= $297. This means that the profit should be greater than or equal to $297 in order for Mr. Chan to make a profit by selling his shares.

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Jeff earns $8 per hour. He gets a raise of 3.5%. How much is his raise?

Answers

Answer:

3.5/100*8=.28

Step-by-step explanation:

Answer: his raise is .28 so his new total per hour will be $8.28

Multiply 8x.035=.28

0.035 is the percent but u move the decimal over two places to multiply

For a linear regression model, Y₁ = Bo + B₁X₁ + u₁. (1) Suppose there is another variable W, that partly determines Y₁. Which term in the above regression contains the information of W? What happens to the OLS estimator of 3₁ if X, and W, are negatively correlated? (2) Suppose that X, is randmized based on covariate W₁, write down the correct regression model and assumptions for this model. (3) If there are measurement errors in the dependent variable, will it necessarily cause a problem in the ordinary least square estimation? (4) How does the variance of the error term affect hypothesis testing of the regression

Answers

(a). The estimation results may not be reliable.

(b). The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(c). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(d).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. In other words, the standard errors of the coefficient estimates increase because the covariance between the explanatory variables is negative, and the variance of the OLS estimator increases as a result.

Hence, the estimation results may not be reliable.

(2). A randomized regression model is a regression model in which a treatment is randomly assigned to the subjects in the sample. The model is used to test whether the treatment affects the outcome variable.

The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation. In this case, the errors are called measurement errors, which are due to inaccuracies in the measurement of the dependent variable.

If the measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

As a result, the t-statistics will be small, and the hypothesis tests will be less powerful.

Conversely, if the variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

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(1). The estimation results may not be reliable.

(2). The correct regression model is: Y = Bo + B₁X + u.

(3). The measurement errors are not random, but systematic, they can lead to biased parameter estimates and erroneous statistical inference.

(4).  The variance of the error term is low, the t-statistics will be large, and the hypothesis tests will be more powerful.

How to explain the information

(1). The term that contains the information of W in the above regression is B₁X₁. If X, and W, are negatively correlated, then the OLS estimator of B₁ becomes less precise. Hence, the estimation results may not be reliable.

(2). The model is used to test whether the treatment affects the outcome variable. The correct regression model is: Y = Bo + B₁X + u where X is randomized based on covariate W₁ and u is the error term.

(3). Yes, measurement errors in the dependent variable can cause problems in the ordinary least square estimation.

(4). The variance of the error term affects hypothesis testing of the regression in the following way: If the variance of the error term is high, it means that the noise in the data is large, and hence the accuracy of the parameter estimates is low.

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Given function f(x) = x - x ^-1/3, find value of x = c that satisfies Roll's Theorem on the interval [0, 1].

Answers

Solution

- The function given is:

\(f(x)=x-x^{-\frac{1}{3}}\)

- Rolle's theorem states that:

"if a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ x ≤ b."

- The Rolle's theorem formula is:

\(\begin{gathered} f^{\prime}(c)=\frac{f(b)-f(a)}{b-a} \\ where, \\ c\text{ is the value of x that satisfies Rolle's theorem} \end{gathered}\)

- The interval given to us is [0, 1], this implies that:

\(\begin{gathered} a=0 \\ b=1 \end{gathered}\)

- We can confirm that:

\(\begin{gathered} f(a)=f(0)=0-0^{-\frac{1}{3}}=0-\frac{1}{0^{\frac{1}{3}}} \\ f(a)=undefined \\ f(b)=f(1)=1-1^{-\frac{1}{3}}=0 \\ \\ \therefore f(a)\ne f(b) \end{gathered}\)

- Thus, since the values of f(a) and f(b) are not equal, no value of c would satisfy the Rolle's theorem

Given function f(x) = x - x ^-1/3, find value of x = c that satisfies Roll's Theorem on the interval

Does the budgeted amount cover the actual amount for expenses, savings, and emergencies? a) no, it's short $207.00. b) no, it's short $227.00. c) yes, there's a surplus of $207.00. d) yes, there's a surplus of $227.00.

Answers

The expense amount is more than the savings amount. No, it's short $207 then the correct option is A.

What are statistics?

Statistics is the study of collection, analysis, interpretation, and presentation of data or to discipline to collect, and summarise the data.

From the table, we have

The amount of the savings will be

Saving amount = $ 20

Then the amount of the expense will be

Expense amount = 150 + 75 + 2 = 227

Then the budgeted amount covers the actual amount for expenses, savings, and emergencies will be

→ savings amount - expense amount

→ 20 - 227

→ $ 207

Thus, the expense amount is more than the savings amount. No, it's short $207.

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a spinner is broken into sections labeled 1 to 37. what is the probability that, on your next spin, that you will spin a number greater than 9?

Answers

The probability of getting a number < 9 is 28/37.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as the probability. It has a range from 0 to 1.

Probability(Event) = Favorable Outcomes / Total Outcomes

Main Body:

Total numbers on the spinner greater than 9  = 37 - 10 + 1 = 28

(we are subtracting 10 because we need number that is greater than 10.)

and adding 1 because both the ends of interval is counted.

total numbers on spinner =37

P( x>9) = 28/37.

Hence the probability of getting a number greater than 9 on spinning is 28/37.

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(2/3+5/2-7/3)+(3/2+7/3-5/6)

Answers

Answer:

after simplifying, we get,

23/6

Step-by-step explanation:

(2/3+5/2-7/3)+(3/2+7/3-5/6)

We simplify,

\((2/3+5/2-7/3)+(3/2+7/3-5/6)\\(2/3-7/3+5/2)+(3/2+7/3-5/6)\\(5/2-5/3)+(9/6+14/6-5/6)\\(15/6-10/6)+((9+14-5)/6)\\(15-10)/6+(23-5)/6\\5/6+18/6\\(5+18)/6\\23/6\)

Dana and her husband wanted to take the youth group to a pizza park. It costs each child $7 to ride all the rides and double that amount for adults. They took 13 children with them.

How much did they spend at the pizza park?

Answers

119$ (91$ for the 13 kids and 28$ for the 2 adults)

Find the distance between the points(-9,8) and (7,-10) if one unit represents one kilometer

Answers

Answer:

√X2-X1+√Y2-Y1

=√7-(-9) +√-10-8

=√16 + √-18

=4 + -(√18)

=4 + (-3√2)

=-0.24

Step-by-step explanation:

by answering this you must use the distance formula and label -9 as X1 , 8 as Y1 and 7 as X2 , -10 as Y2 then you put X2-X1 in the same root sine do the same at Y2-Y1.

Create 5 rectangles that have a perimeter of 24 inches. Which one has the largest area? Find the area of circle that has the same perimeter? What can you conclude?

Answers

The circle with the same perimeter of 24 inches has an area of approximately 45.75 square inches, which is larger than any of the rectangles.

Let's create five rectangles with a perimeter of 24 inches:

Rectangle 1: Length = 5 inches, Width = 7 inches

Rectangle 2: Length = 6 inches, Width = 6 inches

Rectangle 3: Length = 8 inches, Width = 4 inches

Rectangle 4: Length = 9 inches, Width = 3 inches

Rectangle 5: Length = 12 inches, Width = 0 inches (line segment)

To find the rectangle with the largest area, we calculate the area for each rectangle:

Area of Rectangle 1 = Length * Width = 5 inches * 7 inches = 35 square inches

Area of Rectangle 2 = Length * Width = 6 inches * 6 inches = 36 square inches

Area of Rectangle 3 = Length * Width = 8 inches * 4 inches = 32 square inches

Area of Rectangle 4 = Length * Width = 9 inches * 3 inches = 27 square inches

Area of Rectangle 5 = Length * Width = 12 inches * 0 inches = 0 square inches

Therefore, Rectangle 2 has the largest area among the five rectangles, with an area of 36 square inches.

Next, let's find the area of a circle with the same perimeter. The formula for the perimeter of a circle is given by 2 * π * r, where r is the radius. In this case, the perimeter is 24 inches, so we have:

\(24 = 2 \times \pi \times r\)

\(r=\frac{24}{(2 \times \pi )}\)

\(r \approx 3.82\) inches

Now, we can find the area of the circle using the formula:

\(A=\pi r^2\)

Area of Circle = \(\pi \times (3.82 inches)^2\)

Area of Circle \(\approx 45.75\) square inches

From the calculations, we can conclude that among the given rectangles, Rectangle 2 has the largest area.

Additionally, the circle with the same perimeter of 24 inches has an area of approximately 45.75 square inches, which is larger than any of the rectangles.

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A college performs a survey of 424 graduates to estimate the proportion of alumni who are working in the field of study in which they obtained their college degree (e.g., the student earned a degree in biology and works in the field of biology). Of the 424 alumni, 361 reported that they were working in the field of study in which they obtained their college degree. Which of the following is the correct 98% confidence interval for the trus proportion of graduates who are working in the field of study in which they obtained their degree? Find the z-table here. a) (0.108, 0.189) b) (0.115, 0.182) c) (0.807, 0.896) d) (0.811, 0.892) e) 0 (0.818, 0.885)

Answers

The correct 98% confidence interval for the true proportion of graduates working in the field of study in which they obtained their degree is (0.811, 0.892).

To calculate the confidence interval, we need to use the formula for estimating proportions and the standard error of the proportion. The formula is:

Confidence interval = sample proportion ± z * standard error

Calculate the sample proportion

In this case, the sample proportion is the number of graduates working in their field of study (361) divided by the total number of graduates surveyed (424):

Sample proportion = 361/424 ≈ 0.852

Calculate the standard error

The standard error of the proportion is calculated using the formula:

Standard error = sqrt((sample proportion * (1 - sample proportion)) / sample size)

Using the given values, we have:

Standard error = sqrt((0.852 * (1 - 0.852)) / 424) ≈ 0.014

Determine the confidence interval

To find the z-value for a 98% confidence level, we look up the corresponding value in the z-table. The z-value for a 98% confidence level is approximately 2.33.

Substituting the values into the confidence interval formula, we have:

Confidence interval = 0.852 ± 2.33 * 0.014

Confidence interval ≈ (0.811, 0.892)

Therefore, the correct 98% confidence interval for the true proportion of graduates working in their field of study is (0.811, 0.892).

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Find the are of the polygon

Find the are of the polygon

Answers

Answer:

  264 cm²

Step-by-step explanation:

You want the area of a polygon composed of a 12 cm square with triangles of height 5 cm attached to each side.

Square area

The area of the square is the square of its side lenght:

  A = s²

  A = (12 cm)² = 144 cm²

Triangle area

The area of the four triangles is ...

  A = 4 × (1/2bh)

  A = 4 × 1/2(12 cm)(5 cm) = 120 cm²

Total area

The total area of the composite figure is ...

  A = square area + triangle area

  A = 144 cm² +120 cm² = 264 cm²

The area of the polygon is 264 cm².

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Endpoint J at (8,6) and I. JI has midpoint H at (1,0) what is x coordinate of I?

Endpoint J at (8,6) and I. JI has midpoint H at (1,0) what is x coordinate of I?

Answers

The x-coordinate of point I of line segment IJ is 1.

What are the coordinates of midpoint of the line segment AB?

Suppose we've two endpoints of a line segment as:

A(p,q), and B(m,n)

Then let the midpoint be M(x,y) on that line segment. Then, its coordinates are:

\(x = \dfrac{p+m}{2}\)

and

\(y = \dfrac{q+n}{2}\)

We are given that;

Endpoint of point j= (8,6)

Midpoint =(1,0)

Now,

Let the coordinates of endpoint I be (x,y). Then, we can use the midpoint formula to set up two equations:

H = ((x+8)/2, (y+6)/2) = (1,0) (the midpoint of JI is H at (1,0))

J = (8,6)

From the first equation, we get:

(x+8)/2 = 1 --> x+8 = 2 --> x = -6

From the second equation, we get:

(x-8, y-6) = (1-8, 0-6) = (-7, -6)

Equating the x-coordinates, we get:

x-8 = -7 --> x = 1

Therefore, by the given midpoint the answer will be 1.

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if 19 fish are randomly selected, what is the probability that the mean weight will be between 16.1 and 20.6 lb?

Answers

To find the probability that the mean weight of 19 fish is between 16.1 and 20.6 lb, you would need to know the distribution of the weights of the individual fish. If the weights of the fish are normally distributed with a mean of 18.4 lb and a standard deviation of 2.5 lb, then you can use a normal distribution to find the probability that the mean weight of the 19 fish falls in the specified range.

How does probability work exactly?

Probability is calculated by dividing the total possible outcomes by the number of outcomes that are theoretically possible. Probability differs from odds in this regard. Calculating odds involves dividing the likelihood of a particular event by the likelihood that it won't occur.

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Use the quadratic formula to find both solutions to the quadratic equation given below

Use the quadratic formula to find both solutions to the quadratic equation given below

Answers

Answer:

both of the solution is B and C

The population of bacteria grows according to the function f(t) =200e^0.02t, where t is measured in minutes. How many bacteria are present in the population after 5 hours? When does the population reach 100,000 bacteria?

Answers

100,000 germs are present after 230.26 minutes, on average.

To find the number of bacteria present in the population after 5 hours, we need to convert 5 hours to minutes since the function is given in minutes.

1 hour = 60 minutes

Therefore, 5 hours = 5 * 60 = 300 minutes.

We can plug this value of t into the function f(t) = 200e^(0.02t):

f(300) = 200e^(0.02 * 300)

Simplifying the exponent

f(300) = 200e^(6)

Using a calculator or computer, we can calculate the value of e^(6) ≈ 403.42879.

f(300) ≈ 200 * 403.42879 ≈ 80,685.758.

Therefore, after 5 hours, there are approximately 80,685 bacteria present in the population.

To determine when the population reaches 100,000 bacteria, we can set f(t) equal to 100,000 and solve for t:

100,000 = 200e^(0.02t)

Dividing both sides by 200:

500 = e^(0.02t)

Taking the natural logarithm (ln) of both sides

ln(500) = ln(e^(0.02t))

Using the property of logarithms (ln(a^b) = b * ln(a)):

ln(500) = 0.02t * ln(e)

Since ln(e) = 1, we have:

ln(500) = 0.02t

Dividing both sides by 0.02:

t = ln(500) / 0.02

Using a calculator or computer, we can evaluate this expression:

t ≈ 230.25851

Therefore, the population reaches 100,000 bacteria after approximately 230.26 minutes.

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(2, - 9),(- 1, 4)=

Plssss helppp me rnnn

Answers

We need a picture of the problem... then we can help you.

Clarice packed 1-inch cubes into a box with a volume of

36 cubic inches. How many layers of 1-inch cubes did

Clarice pack

Answers

To determine how many layers of 1-inch cubes Clarice packed into the box with a volume of 36 cubic inches, we need to divide the total volume of the box by the volume of one cube. Since the volume of one cube is 1 cubic inch (1 x 1 x 1), we can divide 36 cubic inches by 1 cubic inch to get the number of cubes that can fit in the box. This gives us a total of 36 cubes.

Next, we need to figure out how many layers of cubes there are. If we imagine the cubes being packed tightly together, then each layer would consist of the same number of cubes as the bottom layer. Therefore, the number of layers would be equal to the total number of cubes divided by the number of cubes in one layer.

Since we know that there are 36 cubes in total, we can find the number of cubes in one layer by taking the square root of 36 (which is 6). Therefore, Clarice packed the cubes into the box in 6 layers (36 cubes ÷ 6 cubes per layer = 6 layers).

In summary, Clarice packed 36 1-inch cubes into a box with a volume of 36 cubic inches, which resulted in 6 layers of cubes.

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I need help with that​

I need help with that

Answers

9514 1404 393

Answer:

  AC ≈ 7.3

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  AC/BC = DF/EF

  AC/18 = 15/37 . . . . fill in the given values

  AC = 18(15/37) . . .  multiply by 18

  AC ≈ 7.3

true of false: dispersion models are selected based on the phase of the material being modeled in a release scenario

Answers

The statement "dispersion models are selected based on the phase of the material being modeled in a release scenario" is true as Different dispersion models are needed for different phases (gas, liquid, solid) due to differences in behavior and transport mechanisms.

Dispersion models are used to predict the spread of pollutants, and they depend on the physical and chemical properties of the material being released.

Generally, different models are used for each phase of the material, such as the Gaussian plume model for gases, the plume rise model for heated gases, and the particle dispersion model for particles.

Each of these models is based on different characteristics and equations which allow for the most accurate prediction of the dispersion of pollutants.

For example, the Gaussian plume model considers the wind velocity, turbulence, and buoyancy of the released material, whereas the plume rise model considers the momentum, thermal expansion, and buoyancy of the released material.

Therefore, dispersion models are selected based on the phase of the material being modeled in a release scenario.

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Which describes the error and solve for surface area.

Which describes the error and solve for surface area.

Answers

Second option
94 is the correct answer

When θ = 28° , which equation can be ued to find the ditance from point A to point B?

Answers

Equation which is used to find the distance between the given points A and B for the given θ = 28° is equal to AB = x cos28°.

Diagram is attached.

As given in the question,

Diagram is attached.

Given angle θ = 28°

Hypotenuse = x

Two points A and B is on the base

Base - length = AB

In the given triangle,

Equation represents the distance between two points is:

cosθ = base / hypotenuse

⇒ cos 28° = AB / x

⇒ AB = x cos 28°

Therefore, the equation used to represent the distance between two point A and B is equal to AB = x cos28°.

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When = 28, which equation can be ued to find the ditance from point A to point B?
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