A cla of 25 children hare 600 bead. On a day when 1 child i abent, what i the ratio of the number of children preent to the number of bead?

Answers

Answer 1

The ratio of the number of children present to the number of beads is 1:24.

Define ratio.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio in mathematics is a comparison of two or more numbers that shows how big one is in comparison to the other. The dividend or number being divided is referred to as the antecedent, and the divisor or number that is dividing is referred to as the consequent. A ratio compares two numbers by division.

Given,

Total number of student = 25

Total number of beads = 600

If one child is absent,

So, total number of student will be = 24

The ratio of the number of children present to the number of beads:

24:600

Simplifying,

1:25

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Related Questions

Ms. Wood spills a milkshake on a rectangular piece of paper as shown below. Which of the following best approximates the area of the spill?

Ms. Wood spills a milkshake on a rectangular piece of paper as shown below. Which of the following best

Answers

Answer:

b.300cm

Step-by-step explanation:

2x + 1 = 23 what’s the answer

Answers

Since it’s 2x+1=23 if you were to put x as 22 then add the 1 to it, it would equal 23, So the answer is 22.

Answer:

11

Step-by-step explanation:

2x +1 =23

2x =23 - 1

2x =22

x=22 :2

x=11

The sampling distribution of differences between means approximates a normal curve whose _____is zero.

Answers

The sampling distribution of difference between means approximates a normal curve whose mean is zero.

The sampling distribution means the probability distribution based on the large number of samples of size n from the given population

Mean is the average of the given numbers and it is calculated by dividing the sum of observation by the number of observation. Here the term observation represents the given data.

Here they used the normal curve, sot its mean value is zero

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Grace is practicing for an upcoming piano recital.
The graph shows the hours she spent practicing over a 4-week period.

Grace is practicing for an upcoming piano recital.The graph shows the hours she spent practicing over

Answers

Answer:

The relationship is proportional.

The points form a straight line that passes through the origin.

Step-by-step explanation:

Answer:

The pionts lie on a straight line that goes through the origin

Step-by-step explanation:

cuz i got it right

The x intercepts of y= 5(x-4)(x-3)
( , )

Please help ASAP

The x intercepts of y= 5(x-4)(x-3)( , )Please help ASAP

Answers

Answer:

(4, 0) and (3, 0)

Step-by-step explanation:

x - 4 = 0;  x = 4

x - 3 = 0;  x = 3

Match the formulas for volume and calculate the volumes of the sphere, cylinder, and cone shown below. Each shape has a radius of 2.5 and the cylinder and cone have a height of 4.

options for each drop down box [choose]:
Sphere - volume measure
Sphere - volume formula
Cone - volume formula
Cone - volume measure
Cylinder - volume measure
Cylinder - volume formula
None of these options

Match the formulas for volume and calculate the volumes of the sphere, cylinder, and cone shown below.
Match the formulas for volume and calculate the volumes of the sphere, cylinder, and cone shown below.

Answers

Answer:

The formula for the volume of a cone is ⅓ r2h cubic units, where r is the radius of the circular base and h is the height of the cone.The volume of any sphere is 2/3rd of the volume of any cylinder with equivalent radius and height equal to the diameter.The formula for the volume of a sphere is 4⁄3πr³. For a cylinder, the formula is πr²h. A cone is ⅓ the volume of a cylinder, or 1⁄3πr²h

Step-by-step explanation:

The formula for volume is: Volume = length x width x height

Answer:

Step-by-step explanation:

Volume of a sphere:  4/3 π r³

4/3 (3.14) (2.5)³ =

4/3 (3.14) (15.625) = 65.42 units³

Volume of a cylinder = π r² h

(3.14) (2.5)² (4)

(3.14) (6.25)(4) = 78.5 units²

Volume of a Cone = 1/3 π r² h

(1/3)(3.14)(2.5)²(4) =

(1/3)(3.14)(6.25)(4) = 26.17 units²

can anyone give there snap?

Answers

Im just doing this so i can ask another question but i have to answer somebody first thankyou

1. inverse of a conditional Formed by exchanging the hypothesis and the conclusion and negating both of them. 2. contrapositive of a conditional A statement formed by interchanging the hypothesis and the conclusion in a conditional statement. 3. converse of a conditional A new statement formed by negating both the hypothesis and the conclusion.

Answers

See below for the vocabularies and their correct definition

Missing part of the question

Match the following vocabulary

How to match the vocabulary?

The terms are given as:

inverse of a conditionalcontrapositive of a conditional converse of a conditional

To get the inverse of a conditional, the hypothesis and the conclusion are negated, without interchanging them.

So, we have:

Inverse of a conditional ⇒ A new statement formed by negating both the hypothesis and the conclusion.

To get the contrapositive of a conditional, the hypothesis and the conclusion are negated, after interchanging them.

So, we have:

Contrapositive of a conditional ⇒ Formed by exchanging the hypothesis and the conclusion and negating both of them.

To get the converse of a conditional, we simply interchange the hypothesis and the conclusion, without negating them

So, we have:

Converse of a conditional ⇒ A statement formed by interchanging the hypothesis and the conclusion in a conditional statement.

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Answer:

The answer is Convers because it literally takes the hypothesis and the conclusion and interchanges them.

Step-by-step explanation:

The picture above tap and tell me yes or no in order thank you :)

The picture above tap and tell me yes or no in order thank you :)

Answers

Step-by-step explanation:

no,yes,no, d is probably yes I guess

Answer:

a. yes

b. no

c. yes

d. yes

have a nice day;)

K(-5, -1), L(-2, 4), M(3, 1), NO. 4)

Determine the most precise name for KLMN (parallelogram, rhombus, rectangle, or

square). Explain how you determined your answer. You must support your answer

using length or slope.

Answers

This question is incomplete because it was not written correctly.

Complete Question:

K(-5, -1), L(-2, 4), M(3, 1), N(-2, 4)

Determine the most precise name for KLMN (parallelogram, rhombus, rectangle, or square). Explain how you determined your answer. You must support your answer using length or slope.

Answer:

The precise name for KLMN is either a square or a rhombus

Step-by-step explanation:

To find the length of the sides, when you have vertices (x₁, x₂)and (y₁, y₂) we use the formula

√(x₂-x₁)²-(y₂-y₁)²

K(-5, -1), L(-2, 4), M(3, 1), N(-2, 4)

Side/ Length KL = K(-5, -1), L(-2, 4)

= √(x₂-x₁)²-(y₂-y₁)²

= √(-2 -(- 5))² + (4 - (-1))²

= √3² + 5²

= √9 + 25

= √34

Side/ Length LM = L(-2, 4), M(3, 1),

= √(x₂-x₁)²-(y₂-y₁)²

= √(3 - (-2))² + ( 1 - 4)²

= √5² + -3²

= √25 + 9

= √34

Side/ Length MN = M(3, 1), N(-2, 4)

√(x₂-x₁)²-(y₂-y₁)²

= √(-2 - 3)² + (4 - 1)²

= √-5² + 3²

= √25 + 9

= √34

Side/ Length KN = K(-5, -1), N(-2, 4)

√(x₂-x₁)²-(y₂-y₁)²

= √(- 2 -(- 5)² + (4 - (-1))²

= √3² + 5²

= √9 + 25

= √34

From the above calculation, we can see that

KL = √34

LM = √34

MN = √34

KN = √34

This means Length KL = LM = MN = KN

This shape is a Square and a Rhombus. This reason is a square and a rhombus are Quadrilateral shapes whose sides are equal to each other.

Is each biconditional statement true or false?
Select True or False for each statement.
An angle is a right angle if and only if the measure of the angle is 90°. True/False
An angle measures 120° if and only if the angle is an obtuse angle. True/False
An angle measures 180° if and only if the angle is a straight angle. True/False

Answers

As far as we are aware, a straight angle is defined as 180 degrees then the bi-conditional assertion is true.

What is meant by bi-conditional assertion?

It combines the conditions "if two line segments are congruent then they are of equal length" and "if two line segments are of equal length then they are congruent." Only when both conditionals are true does a biconditional hold. The symbol "or" is used to denote bi-conditionals.

A statement with two conditions is one that has the form "p if and only if q." In other words, if p, then q and if q, then p. "P iff q" or "p q" are other ways to express the biconditional "p if and only if q."

Since we have given that

1)  If and only if the angle's measurement is 90 degrees, it is a right angle : True.

As is common knowledge, one angle in a right-angled triangle must be 90 degrees.

2) If and only if an angle is obtuse, it measures 120 degrees : True

Obtuse angle is a term used to describe angles that are more than 90° but less than 180°.

And 90°<120°<180°

3) Only if the angle is a straight angle does it measure 180 degrees : True

As far as we are aware, a straight angle is defined as 180 degrees.

As a result, every bi-conditional assertion is true.

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Is -5.375 a rational number

Answers

Answer:

Irrational

Step-by-step explanation:

A rational number is a number that can be express as the ratio of two integers. A number that cannot be expressed that way is irrational.

Members of a softball team raised $2089.50 to go to a tournament. They rented a bus for $1087.50 and budgeted $41.75 per player for meals. Write and solve an equation which can be used to determine x, the number of players the team can bring to the tournament.

Answers

The number of players the team can bring to the tournament would be = 24 players

What is softball game?

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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I need some help please

I need some help please

Answers

Answer:

segments EA and DG

Step-by-step explanation:

A diameter is when a line segment crosses the center of the circle and its endpoints lie on the circle. Both segments EA and DG satisfy the definition of a diameter.

Answer:

EA and DG

Step-by-step explanation:

For it to be a diameter, it has to pass through the center (point H) and touch both sides of the circle.

The ones that work for that are EA and DG

Mr. Peter's has 80 sheets of colored paper seven of his students need it for a project. how many sheets are left over?

Answers

73 sheets are left over

Answer:

Three sheets will be left over.

Step-by-step explanation:

Well, if you have 80 sheets of paper, and seven students need it, you would first divide the 80 sheets to the seven students using the equation 80 ÷ 7 = 11.4. You won't be giving fractions of paper to the students so you would round to 11. If each of the seven students gets 11 sheets of paper, 77 sheets will have been used. 80 - 77 = 3. So, there will be three sheets left over.

can someone help with question 19

can someone help with question 19

Answers

Answer:

48. 192

Step-by-step explanation:

In order to get from 3/4 to 3/16, one way would be to divide by 4. Another way is to multiply 3/4 by 1/4.

You can test whether multiplying by 4 works by multiplying 3/4 by 4 and 3 by 4.

When 3/4 is multiplied by 4, it would equal 12/3 which will simplify to 3. This can be done again with 3*4=12.

So the answer would be 12*4 = 48 and 48*4 = 192.

The volume of 1000 drops of a liquid is 1 fluid ounce. What is the volume of 10 drops

Answers

Answer:

\(0.01\ ounce\)

Step-by-step explanation:

Step 1:  Determine the volume of 10 drops

\(1\ ounce / 1000\ drops\)

\(0.001\ ounce/drop\)

\(0.001\ ounce/drop * 10\ drops\)

\(0.01\ ounce\)

Answer:  \(0.01\ ounce\)

Answer:

The volume of 10 drops of a liquid is 0.1 fluid ounce.

Step-by-step explanation:

I hope this will help you

If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

Answers

The sample standard deviation is (B) $3.16.

What is the sample standard deviation?The sample standard deviation is defined as the root-mean-square of the differences between observations and the sample mean: A significant deviation is defined as two or more standard deviations from the mean. The lowercase Greek letter (sigma) for the population standard deviation or the Latin letter s for the sample standard deviation is most commonly used in mathematical texts and equations to represent standard deviation. For example, if the sample variance for a frequency distribution of hourly wages is 10 and the sample standard deviation is $3.16.

Therefore, the sample standard deviation is (B) $3.16.

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The complete question is given below:
If the sample variance for a frequency distribution consisting of hourly wages was computed to be 10, what is the sample standard deviation?

A. $4.67

B. $3.16

C. $1.96

D. $10.00

what percent of light bulbs can last within one standard deviation of the mean, between 57.6 hours and 66.4 hours?

Answers

About 68% percent of light bulbs can last within one standard deviation of the mean, between 57.6 hours and 66.4 hours.

To determine the percentage of light bulbs that can last within one standard deviation of the mean, between 57.6 hours and 66.4 hours, you can follow these steps:

1. Identify the range of values:

In this case, the range is between 57.6 hours and 66.4 hours.

2. Recognize that this range represents one standard deviation from the mean.

In a normal distribution, approximately 68% of values fall within one standard deviation of the mean.

So, about 68% of light bulbs can last within one standard deviation of the mean, between 57.6 hours and 66.4 hours.

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The graph below is a polynomial function in the form f(x)=(x-a)(x-b). What are a and b?

A=
B=

The graph below is a polynomial function in the form f(x)=(x-a)(x-b). What are a and b?A=B=

Answers

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

What is meant by polynomial function?

A function is said to as polynomial when a variable in an equation, such as a quadratic equation or cubic equation, etc., has only positive integer exponents or non-negative integer powers. For instance, the polynomial 2x+5 has an exponent of 1. The zero polynomial function, linear polynomial function, quadratic polynomial function, and cubic polynomial function are the four most common types of polynomials in precalculus and algebra.

Given,

f(x)=(x-a)(x-b)

From the above graph, f(x) passes through points (2, 0), (-1, 0), (0, -2)

Let us take (2, 0)

(2-a)(2-b)=0

4-2b-2a+ab=0

(-1, 0)⇒(-1-a)(-1-b)=0

1+b+a+ab=0

(0, -2)⇒-2=(-a)(-b)

ab= -2

a= -2/b

4-2b-2a-2=0

-2a-2b+2=0

a+b-1=0

b²-2b+b-2=0

b(b-2)+1(b-2)=0

b= 2 or b= -1

a+2-1=0

a= -1

a-1-1=0

a=2

The value of a and b for the given polynomial function f(x)=(x-a)(x-b) are a= -1, 2 and b=2, -1.

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Use the distributive property to simplify the
expression.
8(3 + 4) = 24+ ?

Answers

Answer:

32

Step-by-step explanation:

8(3 + 4) ← multiply each term in the parenthesis by 8

= 8(3) + 8(4)

= 24 + 32

What is the slope of the line that passes through the points (-9, 5)and (-17, 5) ? Write your answer in simplest form.

Answers

Answer:

0

Step-by-step explanation:

\(\frac{y2-y1}{x2-x1}\)

\(\frac{5-5}{-17-(-9)}=\frac{0}{-8} =0\)

slope=0

On Tuesday, the mailman delivers three checks for $5 and two bills for $2 each. If you had a starting balance of $25, what is the ending balance? If you find out the answer please explain

Answers

Answer:

6

Step-by-step explanation:

because 3 checks for 5 bucks 3x5=15  two bill for 2 dollars each 15+4=19

25-19=6

It would be 44 because 3 checks for $5 would be 15 and 2 bills for $2 would be 4 and 19+25=44 :)

Watch the video and then solve the problem given below. Click here to watch the video. The expression
h
f(x+h)−f(x)

for h

=0 is called the difference quotient. Find and simplify the difference quotient for the following function. f(x)=−5x
2
+7x+3 The difference quotient is (Simplify your answer.)

Answers

The difference quotient of f(x) = -5x² + 7x + 3 is equal to -5h - 10x + 7.

How to determine the difference quotient of a function?

In Mathematics, the difference quotient of a given function can be calculated by using the following mathematical equation (formula);

\(Difference\; quotient = \frac{f(x+h)-f(x)}{(x+h)-h}=\frac{f(x+h)-f(x)}{h}\)

Based on the given function, we can logically deduce the following parameters that forms the components of the difference quotient;

f(x) = -5x² + 7x + 3

f(x + h) = -5(x + h)² + 7(x + h) + 3

f(x + h) = -5(h² + 2hx + x²) + 7x + 7h + 3

f(x + h) = -5h² - 10hx - 5x² + 7x + 7h + 3

By substituting the above parameters into the numerator of the difference quotient formula, we have the following:

f(x + h) - f(x) = -5h² - 10hx - 5x² + 7x + 7h + 3 - (-5x² + 7x + 3)

f(x + h) - f(x) = -5h² - 10hx - 5x² + 7x + 7h + 3 + 5x² - 7x - 3

f(x + h) - f(x) = -5h² - 10hx + 7h

By factorizing the function, we have;

f(x + h) - f(x) = -h(5h + 10x - 7)

\(Difference\; quotient = \frac{-h(5h + 10x - 7)}{h}\)

Difference quotient = -5h - 10x + 7

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A quarterback throws an incomplete pass. the height of the football at time t is modeled by the equation h(t) = –16t2 40t 7. rounded to the nearest tenth, the solutions to the equation when h(t) = 0 feet are –0.2 s and 2.7 s. which solution can be eliminated and why? the solution –0.2 s can be eliminated because time cannot be a negative value. the solution –0.2 s can be eliminated because the pass was not thrown backward. the solution 2.7 s can be eliminated because the pass was thrown backward. the solution 2.7 s can be eliminated because a ball cannot be in the air for that long due to gravity.

Answers

The solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

How to determine the solution that can be eliminated?

The equation is given as:

h(t)) = -16t^2 + 40t + 7

From the question

When h(t) = 0, the values of t are

t = -0.2 and t = 2.7

The t in the function h(t) represents time

As a general rule, time cannot be negative.

This means that the solution t = -0.2 can be eliminated

Hence, the solution that can be eliminated is (a) the solution –0.2 s can be eliminated because time cannot be a negative value.

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How many chemicals in cigarettes are known or suspected to cause cancer? responses more than 10 more than 10 more than 20 more than 20 more than 50 more than 50 more than 75

Answers

There are more than 70 number of  chemicals in cigarettes that are known or suspected to cause cancer.

Cigarettes contain a complex mixture of chemicals, many of which are known or suspected to be harmful to human health, including carcinogens (substances known to cause cancer) and other toxic compounds. According to the National Cancer Institute (NCI) and the Centers for Disease Control and Prevention (CDC), there are more than 7,000 chemicals in tobacco smoke, at least 70 of which are known to be carcinogens.

Some of the well-known carcinogens present in cigarette smoke include:

1. Benzene

2. Formaldehyde

3. Arsenic

4. Vinyl chloride

5. Polycyclic aromatic hydrocarbons (PAHs)

6. Nitrosamines, such as N-nitrosonornicotine (NNN)

7. Acrolein

8. Cadmium

9. Chromium

10. Nickel

It is important to note that the list of chemicals in cigarette smoke is extensive, and the health effects of some specific compounds may still be under investigation. Furthermore, the exact composition and concentrations of chemicals can vary depending on factors such as the brand of cigarettes and smoking conditions.

The harmful effects of smoking, including the increased risk of cancer, are well-documented. Smoking is a leading cause of preventable deaths worldwide and is associated with various types of cancer, including lung, throat, mouth, esophageal, pancreatic, bladder, kidney, and many others. Quitting smoking and avoiding exposure to secondhand smoke are crucial steps in reducing the risk of developing cancer and other smoking-related diseases.

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for a statistics exam, 14 students scored an a, 30 students scored a b, 92 students scored a c, 38 students scored a d, and 26 students scored an f. what is the relative frequency for students who scored a c? round the final answer to two decimal places.

Answers

The relative frequency for students who scored a C is 0.47 (rounded to two decimal places).

Relative frequency is defined as the ratio of the number of times an event occurs in a given data set to the total number of trials in the data set.

It is represented as a fraction, decimal, or percentage. It assists in the evaluation of probability in statistics.

To solve this question, we need to add the scores of students who scored a C and divide it by the total number of students.

Given that 14 students scored an A, 30 students scored a B, 92 students scored a C, 38 students scored a D, and 26 students scored an F.

The total number of students who took the exam is:14 + 30 + 92 + 38 + 26 = 200

Thus, the relative frequency of students who scored a C is:92 / 200 = 0.46 (rounded to two decimal places) or 46% (percentage form).

Therefore, the answer to the question "what is the relative frequency for students who scored a c? round the final answer to two decimal places" is 0.47.

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which expression is equivalent to the phrase 4 times the sum of 7a and 3B

Answers

Answer:

4(7a + 3b) = 28a + 12b

Step-by-step explanation:

The sum of 7a and 3b: 7a + 3b

4 times the sum of 7a and 3b: 4(7a + 3b)

Expanding this out:

4(7a + 3b) = 28a + 12b

What is the value of x?

What is the value of x?

Answers

The answer is
Letter A

george's friend clarence, who is even more concerned about consumers, suggests a price ceiling 50% below the monopoly price. at this price, the quantity demanded would be 65 units, and the quantity supplied would be units.

Answers

George's friend Clarence, who is concerned about consumers, suggests implementing a price ceiling that is 50% lower than the monopoly price. With this price ceiling in place, the quantity demanded would increase to 65 units. However, the exact quantity supplied at this new price is not provided in your question.

George's friend Clarence is suggesting a price ceiling, which is a government-imposed limit on how high a price can be charged for a good or service. In this case, the price ceiling is set at 50% below the monopoly price. This means that the price charged for the good or service would be significantly lower than what the monopolistic supplier would typically charge.

At this lower price point, Clarence predicts that the quantity demanded would increase to 65 units, indicating that consumers would be more willing to purchase the product due to its lower price. However, it is unclear what the quantity supplied would be at this price point, as that information is missing from the question.

Overall, George's friend Clarence's suggestion of a price ceiling serves to protect consumers by limiting the monopolistic supplier's ability to charge exorbitant prices and instead promoting a more competitive market.

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Alicia walked 3 m east and then 6 m north. How far is she from the starting point? I like Laura and James, so I invited_____over after school. Corporate Valuation. For this and the next 4 questions: The projected free cash flows (FCF) for Rodney Belts, Inc. are presented below. After Year 3, FCF is expected to grow at a constant rate of 7%. The company's WACC is 16%. Currently, the company has $350,000 of non-operating marketable securities. Its long-term debt is $1,000,000, but it has never issued preferred stock. Rodney Belts, Inc. has 60,000 shares of stock outstanding. Calculate the firm's horizon value of operations. Year. FCF 1. 120,000 2. 150,000 3. 200,000 A. Calculate the value of the firm's operations today B.Calculate the company's total value C. Calculate the value of its common equity D. Calculate the firm's stock pricePrevious question PLEASE HELPdebra has $5. She bought 3 cakes of the same price and has 0.80$ left. what is the pride of 1 cake. mark finds that he has spent more on groceries than budgeted in year 1. he discovers that both the quantity he consumed and prices were greater than expected. in his budget for year 2, he should How far should the United States Government go to protect U.S.companies operating in foreign countries? Find information tojustify your reasoning a person gets energy from an apple by eating it. How does energy get into the apple in the first place? A the apple absorbs energy from the soil while it is on the tree B. the apple absorbs energy from the sun when it is in sunlight. C, the apple tree stores energy from the sun in the apple as sugar. D. the apple tree stores energy from the soil in the apple as sugar. The population in a 50 miles^2 area is 200, 000 people, What is the population density? Show your work. ProblemBefore sending track and field athletes to the Olympics, the U.S. holds a qualifying meet.The lower dot plot shows the times (in seconds) of the 888 sprinters who competed in the final of the women's 100100100-meter dash at the 201220122012 Olympic games. The upper dot plot shows the times (in seconds) of the top 888 sprinters at the U.S. qualifying meet for that event. volunteers for a fair prepared 12 1/2 liters of smoothies. At the end of the day, the volunteers had 2 5/8 remaining. How many liters of smoothies were sold? state the factors that affect the capacitance of a capacitor shane made a scale drawing of a house and its lot. the scale of the drawing was 11 millimeters : 7 meters. if the lawn in the backyard is 66 millimeters long in the drawing, how long is the actual lawn? RecommendationsSkiSixth grade> FF.1 Perimeter SEMWhat is the perimeter?57 km7 km8 kmkilometersSubmitN.Perimeter of polygons Find a pattern, then select the next two terms of the sequence.5, 1, 7, 0, 9, 1, 11, . . . Required information [The following information applies to the questions displayed below] Del Gato Clinic's cash account shows an $11,934 debit balance and its bank statement shows $10,866 on deposit at the close of business on June 30 . a. Outstanding checks as of June 30 total $1,113. b. The June 30 bank statement lists a $60 bank service charge. c. Check No. 919 , listed with the canceled checks, was correctly drawn for $689 in payment of a utility bill on June 15 . Del Gato Clinic mistakenly recorded it with a debit to Utilities Expense and a credit to Cash in the amount of \$698. d. The June 30 cash receipts of $2,130 were placed in the bank's night depository after banking hours and were not recorded on the June 30 bank statement. repare any necessary journal entries that Del Gato Clinic must record as a result of preparing the bank reconciliation. (If no entry is equired for a transaction/event, select "No journal entry required" in the first account field.) Journal entry worksheet Record the adjusting entry related to outstanding checks, if necessary. Note: Enter debits before credits. Point Ais at (-3, 4) and point C is at (2,-6). Find the coordinates of point Bon AC such that the ratio of AB to dC is 4:5. B = ( There is a bag with only red marbles and blue marbles. The probability of randomly choosing a red marble is 7/9.There are 42 red marbles in the bag and each is equally likely to be chosen.Work out how many marbles in total there must be. If households are more optimistic about the future, how would the consumption function be affected? (A) The marginal propensity to consume would increase, increasing the slope of the consumption function. (B) The entire consumption function would shift downward. (C) The entire consumption function would shift upward. (D) The marginal propensity to consume would decrease, increasing the slope of the consumption function. (E) The marginal propensity to consume would increase, decreasing the slope of the consumption function. Letf(x, y, z) = x3 y3 + z3.Find the maximum value for the directional derivative of f at the point(1, 2, 3). Write a linear function that relates y to x