find the general solution of the differential equation. then use a graphing utility to find the particular solution that passes through the given point. (remember to use absolute values where appropriate.) dy dx

The walkway has a 656 square foot area.

Comparing a quantitative measurement with a recognized standard amount of some kind is the act of measurement. For instance, in the measurement 10 kg, kg is indeed the basic measure used to describe mass of a physical quantity, and 10 is the size of the physical quantity.

In order to determine the size of the walkway, we must first determine the size of the bigger rectangle that includes the yard and the walkway, from which we must then deduct the yard's area.

The dimensions of the bigger rectangle will be:

Length: 29ft + 2(4ft) = 37ft

Width: 45ft + 2(4ft) = 53ft

Hence, the larger rectangle's area is:

37ft x 53ft = 1961ft²

The yard's actual size is:

29ft x 45ft = 1305ft²

As a result, the distinction between the two sections is the size of the walkway:

1961ft² - 1305ft² = 656ft²

Hence, the walkway has a 656 square foot area.

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Answer:

1/3= 22 gallons

1= 66 gallons

1.5= 99 gallons

2= 132 gallons

Step-by-step explanation:

The required answer would be 1/3 hour = 22 gallons, 1 hour = 66 gallons, and 1.5 hours = 99 gallons if a pool is being filled at the rate of 66.

The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.

We can write this as a ratio as

one hour : 66 gallons = x hour : 22 gallons

⇒ 1/66= x/22    

⇒ x = 22/66

⇒ x = 1/3

one hour : 66 gallons = 1.5 hour : y gallons

⇒ 1/66= 1.5/y  

⇒ y = 1.5/(1/66)

⇒ y = 1.5×66

⇒ y = 99

Therefore, the required answer would be 1/3 hour = 22 gallons, 1 hour = 66 gallons, and 1.5 hours = 99 gallons.

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Answer:

Step-by-step explanation:

the right choice are B and C

8=8 for B

24=24 for C

According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

Simply put, probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

At one classroom for economics and another for other topics, they dumped 122 stamped envelopes with addresses and $20 bills inside each.

Let the money returned = R

economics classes = E

other classes = O

a). The following gives the probability statement for the overall percentage of the money returned: 100.P (R)

b). The probability statement that the percentage of money recovered from economics classes is 100.P(R|E)

c). The probability statement that displays the percentage of money returned from the other classes is 100.P(R|O).

d). No, because P(R) is not equal to P(R|E), the money returned is not independent of the classes.

e).  According to the study, economists are not more self-centered than persons in other classes because 51% of the envelopes returned from economics classes and 36% from other classes.

The complete question is:

Three professors at George Washington University did an experiment to determine if economists are more selfish than other people. They dropped 122 stamped, addressed envelopes with $20 cash in two different classrooms (one economics, one not) on the George Washington campus. Of these, 42% were returned overall. From the economics class 51% of the envelopes were returned. From the other class 36% were returned.

From

the business, psychology, and history classes 31% were returned.

Let: R = money returned; E = economics classes; O = other classes

a. Write a probability statement for the overall percent of money returned.

b. Write a probability statement for the percent of money returned out of the economics classes.

c. Write a probability statement for the percent of money returned out of the other classes.

d. Is money being returned independent of the class? Justify your answer numerically and explain it.

e. Based upon this study, do you think that economists are more selfish than other people? Explain why or why not. Include numbers to justify your answer.

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Answer:

3rd box (the one with median line equal 31).

Step-by-step explanation:

To identify the correct box plot it is enough to calculate the median value from the given numbers. When we order all the numbers, we can easily spot which one is in the middle (median):

19, 23, 26, 31, 39, 43, 44

Answer:

Did the test its 3 lol

Step-by-step explanation:

Free brainelist?

The statement in option B is a correlation rather than a causation

A statistical association or relationship between two or more variables is referred to as correlation. It gauges how closely variations in one variable are related to variations in another. Even if two variables are highly connected, this does not necessarily imply that one causes the other because correlation does not imply causation.

When two variables are in a cause-and-effect connection, it is said that there is causation since changes in one variable will inevitably result in changes in the other. More rigorous evidence is needed to prove causation, such as experimental designs, control groups, and deliberate manipulation of variables.

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Answer:

the answer is 28 for A the answer for B is -5 for A, 15 for B, and -6 for C

Step-by-step explanation:

1. 12a²b² + -7a²b² + 9a²b²

= 14a²b² (the terms a²b² are like terms so don't look at them, just add 12 + (-7) + 9.

= 14 (ab)² (you can write like this too because both a & b are squared).

2. y² - (-5y²)

= 6y² (subtract -5 from 1, y² is the like term).

Answer:

I think its the last option , the pie squared over 16

Step-by-step explanation:

6 min => Run 12 laps around the track

1 min => 12/6 = 2 laps around the track

Therefore Lin runs 2 laps per minute.

Answer:

2 laps per minute

Step-by-step explanation:

What we know:

Lin runs

12 laps

in 6 minutes

Laps per minute = \(\frac{Laps}{Minute} = \frac{12 laps}{6 minutes} = \frac{12}{6} = 2 \frac{laps}{minute}\)

Answer:

90 km, N 46° E

Step-by-step explanation:

A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.

Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).

This will be the jet's distance from its starting point.

In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.

The Law of Cosines will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.

In this case, the known angle is 110° (angle B) so we will use the Law of Cosines respective to B.

Substitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).

The distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.

The Law of Cosines with respect to A:

Substitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).

The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.

Answer:

x = 3.38

y = 9.24

z = 8

Step-by-step explanation:

first: solve for the vertical length

8√2² = 2z²

128 = 2z²

z² = 64

z = 8

vertical height = 8 also because z is one side of a square

tan 60 = z/a = 8/a

a = 4.62

x = 8 - 4.62 = 3.38

sin 60 = z/y = 8/y

y = 9.24

Answer:

F = 9/5C + 32

Step-by-step explanation:

F = 9/5C + 32

Since F means Fahrenheit and C means Celsius

Therefore the answer is already written

Answer: F = 9/5C + 32

Answer: C = 5/9 ( F - 32 )

Step-by-step explanation:

i dont know to do the 5 over 9 on the computer but thats the answer

Edmentum Answer

The true proportion of the side lengths of the quadrilaterals is A'B'/AB

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

Quadrilaterals ABCD and A'B'C'D

These quadrilaterals are similar

So, it means that the corresponding side lengths are proportional

So. we have

Side length = AB

Corresponding side length = A'B'

The true proportion is then represented as

k = Corresponding side length/Side length

Substitute the known values in the above equation, so, we have the following representation

k = A'B'/AB

Hence, the proportion is A'B'/AB

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The exact duplication of elements on either side of a central axis is called symmetry. Symmetry refers to the property of an object or system where it exhibits a precise duplication of elements on either side of a central axis or plane.

This duplication can occur in various forms, such as shapes, patterns, or structures. Symmetry is a fundamental concept in mathematics, art, design, and science. It is often studied and utilized to create aesthetically pleasing compositions, identify patterns, and analyze the properties of objects.

Symmetry can be classified into different types, such as bilateral symmetry (reflectional symmetry) where the object is identical on both sides of a vertical axis, or radial symmetry where the object is identical around a central point.

The concept of symmetry plays a significant role in diverse fields, including geometry, biology, crystallography, and physics.

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Answer:

2 1/2

Step-by-step explanation:

Answer:

36 cups

Step-by-step explanation:

You only have ⅛ measuring cup. Now, since you need 4½ teaspoons of butter, the number of ⅛ measuring cups needed to achieve that will be;

4½ ÷ ⅛ = 9/2 × 8/1 = 36 cups

Thus, you will need 36 number of ⅛ cups

3 miles and 15,480 feet are not equivalent because they measure different quantities. which is the correct answer would be an option (D).

Now, Multiply the area by the conversion ratio to convert a foot measurement to a square inch measurement.

Because one foot equals 12  inches, you may use the following easy formula to convert:

1 inches =  feet × 12

The correct answer is D) 3 miles, 15,480 feet

because 1 mile =5280 feet

3 mile =3 × 5280 = 15,840

The other pairs of measurements are all equivalent because they measure the same quantity in different units.

For example, 24 feet and 8 yards are equivalent because 24 feet is equal to 8 yards (1 yard =3 feet ; 8 yard= 8 × 3 = 24 feet).

Similarly, 24 inches and 2 feet are equivalent because 24 inches is equal to 2 feet, and 10 feet and 120 inches are equivalent because 10 feet is equal to 120 inches (1 foot = 12 inches; 10 feet=12 × 10=120).

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Answer:

Number of lawns

Step-by-step explanation:

I chose number of lawns because depending on how many lawns he mows is how much money he will get

Answer:

A, the money

Step-by-step explanation:

As Joe mows lawns, the amount of money he gets is being increased, meaning its changing, therefore its dependent of how many lawns are mowed.

Answer:

Using the slope-intercept form, the slope is 4 4 .

Answer: Using the slope-intercept form, the slope is 4 4 .

Explanation: so your answer is 4 4.

Answer:

\(\huge\boxed{\sf t = 0.6}\)

Step-by-step explanation:

\(\sf 0.15(10t-9) = 0.75(4t-3)\\\\Resolving \ Parenthesis\\\\1.5t-1.35 = 3t - 2.25\\\\Combining \ like \ terms\\\\-1.35 + 2.25 = 3t-1.5t\\\\0.9 = 1.5t\\\\Dividing \ both \ sides \ by \ 1.5\\\\0.9/1.5 = t\\\\0.6 = t\\\\OR\\\\\bold{t = 0.6}\)

Hope this helped!

The exact value of sin(π/6) is 1/2.

To find the exact value of sin(π/6), we can use the unit circle or the trigonometric identity for the sine function. In the unit circle, π/6 corresponds to an angle of 30 degrees, which lies in the first quadrant.

At this angle, the y-coordinate of the corresponding point on the unit circle is 1/2. Since sin(θ) represents the ratio of the opposite side to the hypotenuse in a right triangle, for an angle of 30 degrees, sin(π/6) is equal to 1/2.

Alternatively, we can use the trigonometric identity sin(θ) = cos(π/2 - θ). Applying this identity, we have sin(π/6) = cos(π/2 - π/6) = cos(π/3). Now, π/3 corresponds to an angle of 60 degrees, which lies in the first quadrant.

At this angle, the x-coordinate of the corresponding point on the unit circle is 1/2. Therefore, cos(π/3) = 1/2. Substituting this value back into sin(π/6) = cos(π/3), we get sin(π/6) = 1/2.

In both approaches, we find that the exact value of sin(π/6) is 1/2, indicating that the sine function of π/6 radians is equal to 1/2.

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Answer:  -20%

Step-by-step explanation:

Percent of change = \(\frac{New-Original}{Original}*100%\)%

                               = \(\frac{60-75}{75} * 100%\)%

                               ≈ -20%

The probability that there is at least two 4s in the three throws is 0.05 or 5%

Probability

In statistics, probability deals with the possibility of happening of the events.

Given,

Here we know that the throw a fair die three times. if we observe the first throw is a 4.

And we need to find the probability that there is at least two 4s in the three throws.

According to the given question, we know that the dice is thrown 3 time.

Then the sample space of the given event is 216.

Here we know that the first throw has 4.

And we need to find the probability of getting two 4s in the 3 throws,

So, the possible number of events are.

=> {444, 441, 442, 443, 445, 446, 414, 424, 434, 454, 464}

So, the total possible number is 11.

Then the probability is,

=> 11/216

=> 0.05 or 5%

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Answer:

4.5 or 4 1/2 miles

Step-by-step explanation:

\(\dfrac{3\text{ miles}}{\text{hour}}\cdot 1.5 \text{ hours}= 3\cdot 1.5=4.5\)

Hope this helps!

Mrs. Munch and Mrs. Crunch both bought 6 boxes of cookies.

Let the number of cookie boxes bought by Mrs. Munch and Mrs. Crunch be represented by x.

Since both of them bought the same number of boxes, we can say that x is the same for both of them.

From the given information, we can say that Mrs. Munch took 43/2 or 43/3 days to finish one box of cookies. To finish all the x boxes, it took her 43 days. Similarly, it took Mrs. Crunch 62/2 or 62/3 days to finish one box of cookies and 62 days to finish all the x boxes.

To find the value of x, we can set up the following equation:

43/2x = 62/3x

By solving this equation, we get x = 6.

Therefore, Mrs. Munch and Mrs. Crunch both bought 6 boxes of cookies.

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When palpating the abdomen, you should note whether the liver is enlarged in the right upper quadrant, option d.

The liver is the largest internal organ located in the upper right portion of the abdomen. When assessing for liver enlargement through palpation, healthcare professionals typically focus on the right upper quadrant of the abdomen.

By concentrating on the right upper quadrant during palpation, healthcare professionals can gather information about the size, tenderness, or abnormalities of the liver. This specific region provides the best access and proximity to assess the liver and detect any potential enlargement or abnormalities.

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The volume of each cylindrical shell is given by dV = 2πrh dy = 2π(y^2 - y)(2 - (y - 1)^2) dy.

To find the volume of the solid obtained by rotating the region bounded by the curves x + y = 1 and x = 2 - (y - 1)^2 about the x-axis, we can use the method of cylindrical shells. First, let's determine the limits of integration. The curves intersect at two points: (1, 0) and (3, 2). We'll integrate with respect to y, so the limits of integration will be y = 0 to y = 2. Next, we need to find the height of each cylindrical shell. This is given by the difference between the x-values of the curves.

The height is given by h = 2 - (y - 1)^2 - (1 - y) = 2 - (y - 1)^2 + y - 1 = y^2 - y. The radius of each cylindrical shell is the x-value of the curve x = 2 - (y - 1)^2. The volume of each cylindrical shell is given by dV = 2πrh dy = 2π(y^2 - y)(2 - (y - 1)^2) dy. Integrating this expression from y = 0 to y = 2 gives us the volume: V = ∫[0,2] 2π(y^2 - y)(2 - (y - 1)^2) dy. Evaluating this integral will give us the volume of the solid.

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In conclusion, Amy used a snowball sampling method to collect data for her survey. This method is useful when the population is hard to locate or identify, and when other sampling methods are not possible

Amy used a snowball sampling method. Snowball sampling is a non-probability sampling method where the participants recruit other members of the population.

It is useful when the population is difficult to locate or identify, as it relies on word of mouth or referrals from already recruited participants. In this case, Alfred was able to introduce other international students who might be interested in participating in Amy's survey. This allowed Amy to collect enough data to conduct her analysis. Snowball sampling is useful when the sample size is not known, when time is limited, or when a random selection is not possible.

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Answer:

x - 11

Step-by-step explanation:

f(x) = -5x - 4

g(x) = 6x - 7

Find f(x) + g(x).

To find the sum of f(x) and g(x), we must substitute f(x) and g(x) with the given equations:

(-5x - 4) + (6x - 7)

To solve, we combine like terms.

-5x + 6x = x

-4 + (-7) = -11

Therefore, we end up with x - 11.

Hope this helps.