A 20,000 gallon swimming pool contains 5000 gallons of water when a hose is placed in the pool and begins adding water at a rate of 1250 gallons per hour.



Use the Segment tool to plot a graph representing the volume of water in the pool over time from when the hose is placed in the pool until the pool is full.

Answer:

1. 2/9

2. 1/3

3. 112

Step-by-step explanation:

All parts of the problem given have been explained and provided below.

Variables in any particular dataset are defined as any characteristics, numbers, or quantity that can be measured or counted to give information about any object, on which the dataset is based.

So, the variables in this given dataset are;

Overall score

Recommended

owner satisfaction

Overall miles per gallon

Acceleration (0-60) sec

Categorical or qualitative variables are those which can't be quantified or measured. Their values are defined by an order relation between the different categories.

the categorical variables in this dataset are,

Recommended

Owner satisfaction

Quantitative variables are those which can be measured in an order to provide information about an object.

the quantitative variables in this dataset are,

Overall score

Overall miles per gallon

Acceleration (0-60) sec

In the given dataset, 7 vehicles are recommended,

So their percentage would be,

7/15 × 100 = 46.67%

The average overall miles per gallon of these 15 vehicles is 25.4.

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Answer:

Option A, Option C, Option E

Step-by-step explanation:

The area of a kite can be identified through 1 / 2 of the multiplication of each diagonal. The first diagonal is equivalent to the addition of 50 cm and 10 cm, while the second is of length 20 cm + 20 cm.

\(1 / 2 * ( 50 + 10 ) * ( 20 + 20 ),\\1 / 2 * ( 60 ) * ( 40 ),\\( 30 ) * ( 40 ),\\\\Area of Kite = 1200 square cm\)

Consider the first option. If we take a look at the bit 2 * ( 1 / 2 * 20 * 50 ) the 2 and 1 /2 cancel each other out, leaving you with 20 * 50 = 1000 . Respectively in the expression 2 * ( 1 / 2 * 20 * 10 ) the 2 and 1 / 2 cancel each other out, leaving you with 20 * 10 = 200;

\(1000 + 200 = 1200 square cm,\\Option A - Correct!\)

The second option considers the expression 2 * ( 1 / 2 * 20 * 60 ). Again, the 2 and 1 / 2 cancel each other out, leaving you with 20 * 60;

\(20 * 60 = 1200 square cm,\\Option B - Correct!\)

Option C is a similar version of option a, besides the fact that the 1 / 2 doesn't exist. Thus, Option C is incorrect!

Option D is a similar version of option a as well, but as the 2 doesn't exist, it is incorrect!

This last option, option E is taken as 1 / 2 of the multiplication of the diagonals, and thus is correct!

\(1 / 2 * ( 40 * 60 ),\\1 / 2 * ( 2400 ),\\1200 square cm\\\\Correct!\)

Answer:

Step-by-step explanation:

The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n) (nt)

where

A = the future value of the investment/loan, including interest

P = the principal investment amount (the initial deposit or loan amount)

r = the annual interest rate (decimal)

n = the number of times that interest is compounded per year

t = the number of years the money is invested or borrowed for

here

we have to found semianually

P= 2000

r= 11% =0.11

n=2   .... for semiannual

t =5

A = 2000( 1 +0.11 /2 )(2*5)

 = 2000(1 +0.055)10

= 2000(1.055)10

= 2000(1.708)

=3416

Answer:

we 1st can get the weight of rat by

1 rat and 1 cat + 1 dog and rat = 30

2 rat + 1 cat + 1 dog = 30

Then 1 rat and cat measure 24 so

2 rat + 24 =30

2 rat + 24 =30 1 rat = 3 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 10

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 10

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg 1 dog + 3kg = 20 kg

2 rat + 24 =30 1 rat = 3 kg 1 cat + 1 rat = 101 cat + 3kg = 101 cat = 7kg and 1 dog + 1 rat = 20 kg 1 dog + 3kg = 20 kg 1 dog = 17kg

so we get the weight of each now we r going to sum them 1 rat + 1 cat + 1 dog = x

1 rat + 1 cat + 1 dog = x 3 kg + 7 kg + 17 kg = x

1 rat + 1 cat + 1 dog = x 3 kg + 7 kg + 17 kg = x 27 kg = x ..... is the mass of 3 of them

Answer:

180/t = r

Step-by-step explanation:

In this question, we would have to write an equation that represents the scenario given.

We know that the car traveled 180 miles at a constant rate.

We would use the y = mx + b format for the equation, but replacing the variables with "r" and "t"

We know that 180 will be our y-variable, since that would be the base of the equation:

180 = ???

And to find how long/fast it will take the car, we would need to multiply the rate of speed "r" and time "t" in order to get our distance.

Plug it into the equation:

180 = rt

With this set up, you can find the rate of speed of the car when you know the time.

You would simply solve it as:

180/t = r

Answer:

C

Step-by-step explanation:

27 miles for 2 hours so u add 27 + 27 = 54 than it says 65 miles per hour and travels for 4.5 hours so do 65 x 4.5 = 292.5 than add 54+292.6 and you will get the final answer wich is 346.5

By the concept of a segment parallel to one side of a triangle divides the other two sides in the same ratio FC is equal 36 in.

A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.

We know a line segment parallel to one side of a triangle divides the other side in the same ratio.

Therefore, From the given information BE/CE = DF/FC.

3/27 = 4/(x - 2).

3(x - 2) = 108.

x - 2 = 36.

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Answer

Anita's total number of dolls = 30

Explanation

Let the total number of dolls be x

20% of x = 6

0.2x = 6

Divide both sides by 0.2

(0.2x/0.2) = (6/0.2)

x = 30 dolls

Hope this Helps!!!

Each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

Given, a yearly subscription to a monthly magazine costs £42.00 i.e., 12 months to a monthly magazine costs £42.00.

one month will cost £42.00 divide by 12 and let it be x.

we simply calculate the value of x by dividing £42.00 by 12.

x = 42.00/12

x = 3.5

x = £3.5

Therefore, each issue will cost £3.5 if a yearly subscription to a monthly magazine costs £42.00.

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Step-by-step explanation:

\(z=180-50-84\\z=46\\y=180-z\\y=180-46\\y=134\\x=180-13-y\\x=180-13-134\\x=33\)

Answer:

============================

The total deposit over 12 weeks:

Equation in general form:

Comparing the means of the two samples, we find that the difference between the means is significant. Therefore, we can reject the claim and conclude that male and female high school students have different exam scores.

To perform the two-sample t-test, we first calculate the standard error of the difference between the means using the formula:

SE = sqrt((s1^2 / n1) + (s2^2 / n2))

Where s1 and s2 are the population standard deviations of the male and female students respectively, and n1 and n2 are the sample sizes. Plugging in the values, we have:

SE = sqrt((47^2 / 49) + (4.3^2 / 53))

Next, we calculate the t-statistic using the formula:

t = (x1 - x2) / SE

Where x1 and x2 are the sample means. Plugging in the values, we have:

t = (239 - 21.1) / SE

We can then compare the t-value to the critical t-value at α = 0.01 with degrees of freedom equal to the sum of the sample sizes minus 2. If the t-value exceeds the critical t-value, we reject the null hypothesis.

In this case, the t-value is calculated and compared to the critical t-value using the provided standard normal distribution table. Since the t-value exceeds the critical t-value, we can reject the claim that male and female high school students have equal exam scores.

Therefore, the correct answer is:

B. Male and female high school students have different exam scores.

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The average annual return on this investment from 2011 to 2015 is approximately 0.8%.

To calculate the value of a $1 investment made at the beginning of 2011 and its average annual return by the end of 2015, we need to multiply the successive annual returns and calculate the cumulative value.

The successive annual returns on small U.S. stocks from 2011 to 2015 are:

-3.80%, 19.15%, 45.91%, 3.26%, and -3.80%.

To calculate the cumulative value, we multiply the successive returns by the initial investment value of $1:

(1 + (-3.80%/100)) * (1 + (19.15%/100)) * (1 + (45.91%/100)) * (1 + (3.26%/100)) * (1 + (-3.80%/100))

Calculating this expression, we find that the cumulative value is approximately $1.044, rounded to three decimal places.

Therefore, a $1 investment made at the beginning of 2011 would have been worth approximately $1.044 at the end of 2015.

To calculate the average annual return, we need to find the geometric mean of the annual returns. We can use the following formula:

Average annual return = (Cumulative value)^(1/number of years) - 1

In this case, the number of years is 5 (from 2011 to 2015).

Average annual return = (1.044)^(1/5) - 1

Calculating this expression, we find that the average annual return is approximately 0.008 or 0.8% per year, rounded to two decimal places.

Therefore, the average annual return on this investment from 2011 to 2015 is approximately 0.8%.

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Answer:

Step-by-step explanation:

23.) 0.29

24.) 0.32

25.) 0.04

26.) 0.73

27.) 0.65

28.) 0.88

(Excuse me, but what grade are you in?)

Answer:

23. 0.29 Dollars

24. 0.32 Dollars

25. 0.04 Dollars

26. 0.73 Dollars

27. 0.65 Dollars

28. 0.88 Dollars

Step-by-step explanation:

Fundamental Method ==>

\(1 \times \frac{percentge}{100} \)

By Z.Khan

Answer: 99

Step-by-step explanation:

A_P_E_X approved need proof here is an imagine

The area of the circle is 452.16 square inches

Area is the the total surface that is occupied by a two dimensional shape

The radius of the circle = 12 inch

The radius of a circle is the distance between the center and any point on the circumference of the circle

The area of the circle A = π×\(r^2\)

Where A is the area of the circle

r is the radius of the circle

π = 3.14

substitute the values in the equation

The area of the circle = 3.14 × \(12^2\)

= 3.14 × 144

= 452.16 square inches

Hence, the area of the circle is 452.16 square inches

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Answer:

G = 14 - 1.75(t)

Where G is the number of gallons of gas remaining;

14 represents the amount of gas in gallons in the full gas tank of the vehicle

t is the number of hours

Step-by-step explanation:

Here, we want to write an equation.

We are told that the car uses 1.75 gallons of gas every hour and after 4 hours 7 gallons were left

In the 4 hours, the amount of fuel used will be 1.75 * 4 = 7 gallons

So therefore since we have 7 gallons left, the amount of gallons in the full tank of the vehicle will be 7 + 7 = 14 gallons

Hence, the equation we want to write will be;

G = 14 - 1.75(t)

Answer:

25 inches

Step-by-step explanation:

If square has a perimeter of 20 inches, the length of each side is:

\(s=\frac{20}{4}\\ s=5\ in\)

After cutting the square in half, we are left with two rectangles of 5 in x 2.5 in

Attaching those two smaller rectangles by their short end (2.5 in side), gives us a new rectangle with a height of 2.5 in and a length of 10 in (sum of the 5 in sides in each rectangle). The perimeter of this new rectangle is:

\(P=2*2.5+2*10\\P=25\ in\)

The perimeter is 25 inches.

Using it's concept, it is found that there is a 0.875 = 87.5% probability that the player wins the match.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, these following outcomes result in the player winning the match:

Hence, the probability that he wins the match is given as follows:

p = 0.5 + 0.5² + 0.5³ = 0.875.

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Answer:

hope this helps

Step-by-step explanation:

my parents are the same way so if you listen to classical music then things will stick in you head and you can draw things to remind you what they mean like if you had a definitions then draw what they mean

Answer:Un sistema de ecuaciones es un conjunto de ecuaciones con las mismas incógnitas. Un

sistema de ecuaciones lineales es un sistema de ecuaciones en el que cada ecuación es lineal. Una solución de un sistema es una asignación de valores para las incógnitas que hace

verdadera cada una de las ecuaciones. Resolver un sistema signifi ca hallar todas las soluciones del sistema.

Veamos a continuación un ejemplo de un sistema de ecuaciones lineales con dos incógnitas:

Ecuación 1

Ecuación 2 b

2x y 5

x 4y 7

Podemos comprobar que x  3 y y  1 es una solución de este sistema.

Ecuación 1 Ecuación 2

2132 1 5 3 4112 7

2x y 5 x 4y 7

Step-by-step explanation:

Answer:

Translated to english from person who answered before

Step-by-step explanation:

A system of equations is a set of equations with the same unknowns. A

Linear equation system is a system of equations in which each equation is linear. A solution of a system is a mapping of values for unknowns that makes

true each of the equations. Solving a system means finding all the solutions in the system.

Here's an example of a system of linear equations with two unknowns:

Equation 1

Equation 2 b

2x and 5

x 4 and 7

We can check that x 3 and y 1 is a solution of this system.

Equation 1 Equation 2

2132 1 5 3 4112 7

2x and 5 x 4y 7

The x-variable is not referred to as the dependent variable when formulating a regression equation.

There are dependent and independent variables in statistical modeling, experimental sciences, and mathematical modeling. Dependent variables are so-called because, during an experiment, their values are assessed under the presumption or requirement that they are dependent on the values of other variables as a result of a certain law or rule (for example, a mathematical function). Independent variables are ones that are not seen as being reliant on any other variables in the context of the experiment in question.

Common independent variables that can be used to forecast include time, space, density, mass, fluid flow rate, and previous values of some observed value of interest (such the size of the human population).

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Answer:

When solving, Jacob did not distribute properly.

Explanation:

Let's talk about 5(x + 2). The correct distribution would be 5x + 10. Jacob distributed 5 into x correctly and got 5x, however he did not distribute the 5 into 2 properly. It should have been 10, however it stayed as 2.

Jacob should be more careful when distributing, and make sure to distribute into EVERY term inside the parentheses.

Each machine will print 760 pages

What is arithmetic ?

Arithmetic is an elementary part of mathematics that consists of the study of the parcels of the traditional operations on figures addition, deduction, multiplication, division, exponentiation, and birth of roots.

Main body:

As there are total 6 printing machines

but one of the machines is out of order

which means left working machines = 6-1 = 5

pages to be printed = 3800

so total pages need to be printed by each machine =

3,800 ÷ 5 = 760

Hence, Each machine will print 760 pages

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Answer:

no solution.

Step-by-step explanation:

given that, y = 3x-1

so,

in equation, 3x-y = 9

putting the value of y here,

3x-(3x-1) = 9

3x-3x+1 = 9

3x and 3x is cancelled.

hence, no solution

The (⍺3β3) oligomer of ATP synthase can have 3 different functional conformations.

The (⍺3β3) oligomer of ATP synthase, which consists of three α-subunits and three β-subunits, can exhibit three different functional conformations. These conformations are known as "open," "loose," and "tight" states. The binding change mechanism describes the sequential transition of the catalytic sites within ATP synthase as they alternate between these conformations, facilitating the synthesis of ATP.

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The angle made by the apothem and the radius is 30 degrees. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The apothem of a regular hexagon measures 8 cm.

Then the side length of the hexagon will be

\(\rm x = \dfrac{8}{\sin 60^o}= 9.24\ cm\)

The perimeter of the hexagon will be

Perimeter = 6 × 9.24 = 55.43 cm

The area of the hexagon will be

Area = 0.5 × 8 × 9.24 = 36.95 cm².

The angle made by the apothem and the radius is 30 degrees.

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Answer:

2, 4, & 5

Step-by-step explanation:

I did it