In 1983, a hardcover dictionary cost $145. 75. If the CPI is currently 209, what would a hardcover dictionary cost today? Round to the nearest cent

Answer:

33%

Step-by-step explanation:

Let's start by defining x as a percent such that when x is multiplied by 12, it is equal to four.

12x = 4

x = 4/12 = 1/3 = 33%

And we are done!

Answer: 2401

Step-by-step explanation: Yes

the number multiplied by itself is 7

Answer:

a) much smaller

b) little larger

c) little smaller

d) much larger

Step-by-step explanation:

Anything multiplied by a value less that 1 will reduce the size

Anything multiplied by a value larger than 1 will increase the size

(Basically, the larger the value, the less it is shrunk/the more it is expanded)

Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

The equation that represents the situation is:

d = 525h

In this equation, d represents the distance traveled and h represents the number of hours spent flying. The equation states that the distance traveled (d) is equal to the product of the speed (525 miles per hour) and the number of hours spent flying (h). This equation shows the relationship between the distance and time for the airplane flying at a constant speed of 525 miles per hour.

       The Equation Representing The Situation is:

       d  =  525 *  h

Make A Plan:

We need to find the Equation representing the relationship between the distance traveled (D) and the number of hours spent flying (H).

The Airplane is flying at a Constant Speed of 525 Miles Per Hour (mph). However, The Distance Traveled is Equal to the speed Multiplied by the Time Spent Flying.  

        d   =   525  *   h

        The Equation Representing The Situation is:

        d  =  525 *  h

I hope this helps you!

The nature and scope of the conclusion that a study can reach refers to the limitations and generalizability of the results obtained.

It depends on the research design, methodology, and sample size used. The conclusion can only be applied to the specific population and conditions studied.

The study may also have limitations due to biases or confounding variables that can affect the validity of the conclusion. To have a stronger conclusion, it is important to have a well-designed study with a large and representative sample, and to control for extraneous variables.

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Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

What is the permutation?

The term permutation refers to a mathematical calculation of the number of ways a particular set can be arranged.

Put simply, a permutation is a word that describes the number of ways things can be ordered or arranged.

Here given that,

Here are five airplanes ready to depart. runway \(A\) and runway \(D\) are available.

Number of ways to assign \(3\) planes to that runway is

\(^5C_3=^5C_2=10ways\)

Then for each group

Each group of three planes can be arranged in \(^3P_3=3!=6ways\)

Each group of three planes can be arranged in \(^2P_2=2!=2ways\)

So total number of arrangements are

\((2)(10)(6)(2)=240ways\)

Hence, the number of ways be assigned to runways without using the same runway is \(240\) ways.

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The probability that the sum of the two selected numbers is even is 1/2.

The parity of the two chosen numbers must match for the sum to be even.

Given this information, we can divide the larger problem into smaller ones. First, we may determine the likelihood that the first spinner will land on an even number.

Exists a \($\frac{1}{2}$\) chance that this happens, and a \($\frac{1}{3}\) there is a chance that the second spinner will also land on an even number, hence

\($\frac{1}{2} \cdot \frac{1}{3} = \frac{1}{6}$\)

There is a win if both the first and second spinners land on an odd number.

\($\frac{1}{2} \cdot \frac{2}{3} = \frac{2}{6}$\)

chance of this happening. Adding these two probabilities together, we get

\(\frac{1}{6} +\frac{2}{6} =\frac{3}{6} =\frac{1}{2}\)

Therefore, The probability that the sum of the two selected numbers is even is 1/2.

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Answer:

2y + 9

Step-by-step explanation:

For your question, its asking to double the letter y, and add 9 to it. For that, we can say 2y, which is how we double the y, and then write the + 9. It should look like this:

2y + 9

Hope this helps! :)

Given:

Lamont has purchased 20 trading cards.

He wants to have at least 50 trading cards.

To find:

The inequality for the number of trading cards Lamont needs and solve it.

Solution:

Let x be the number of trading cards Lamont needs.

He has 20 trading cards. So,

Total cards = x + 20

It is given that, he wants to have at least 50 trading cards. It means, total card must be greater than or equal to 50.

\(x+20\geq 50\)

Subtract 20 from both sides.

\(x+20-20\geq 50-20\)

\(x\geq 30\)

Therefore, the required inequality is \(x+20\geq 50\) and solution is \(x\geq 30\).

The number of trading cards that Lamont needs will be at least 30 trading cards.

From the information given, we are informed that Lamont has purchased 20 trading cards and wants to have at least 50 trading cards.

Therefore, the number that will be needed more will be:

= 50 - 20 = 30

Therefore, he'll need at least 30 more cards.

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Answer:

-0.2

Step-by-step explanation:

You have to subtract 15 from 30 the your answer is -15 so then just divide 3 by-15 and you will get -0.2 so your answer is -0.2 because you cannot make it into a whole number.  

hope this helps <3 !!!

Answer: x = 5 2/3 - 3 1/3

Step-by-step explanation:

From the question, we are informed that Shelly has a beaker which contains 5 2/3 fluid ounces of water and that she pours out 3 1/3 fluid ounces of water. The expression that an be used to find the number of fluid ounces of water which remain in the beaker goes thus:

Let's represent the remaining water in the beaker as x.

Since 3 1/3 fluid ounces of water has been poured our from 5 2/3 fluid ounces of water. The expression will be:

x = 5 2/3 - 3 1/3

Answer:

A

Step-by-step explanation:

It's A on edge

Answer:

3

Step-by-step explanation:

 Drink mix ratio:

        Lemonade   :    Orange      :     Cranberry

                 6           :          3          :          C

  Fraction  of Cranberry juice  = \(\frac{3}{12}\)

Sum of the ratio = 6 + 3 + C  = 9 + C

   Fraction of Cranberry;

                \(\frac{C}{9 + C}\)   = \(\frac{3}{12}\)

               3(9 + C)  = 12C

               27 + 3C  = 12C

               27  = 12C - 3C

                9C  = 27

                   C = 3

The missing number will be 3

Answer:

2

Step-by-step explanation:

-4 x -2 is 8. -4 -2 is -6. 8-6 is 2.

Answer:

8-4-2=2

It was +8 because the multiplication of two negatives will give u a positive

Step-by-step explanation:

The volume of the solid generated is 343π/3 cubic units

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

x = y²- 4 and x = 6 - 3y

Also, we have

The line x = 24

Set the equations to each other

So, we have

y²- 4 = 6 - 3y

When evaluated, we have

y = -5 and x = 2

For the volume generated from the rotation around the region bounded by the curves, we have

V = ∫[a, b] 2π [g(y) - f(y)] dy

This gives

V = ∫[-5, 2] 2π [y²- 4 - 6 + 3y] dy

V = ∫[-5, 2] 2π [y²- 10 + 3y] dy

Integrate

V = 2πy(2y² + 9y - 60)/6 [-5, 2]

Expand

V = 2π/6[2 * (2 * 2² + 9 * 2 - 60) +5 * (2 * (-5)² - 9 * 5 - 60)]

Evaluate

V = -343π/3

Take the absolute value

V = 343π/3

Hence, the volume generated is 343π/3

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Answer:

unsolvable

Step-by-step explanation:

n-8=46-n

n=(46-n)+8

n=54-n

Answer:

54

Step-by-step explanation:

you add 8+46 and you can check with 54-46=8

Yes, a hole in a function is considered a type of discontinuity. A hole occurs when a point is missing from the graph of a function, which causes the graph to have a break in it.

A discontinuity is a break or jump in the graph of a function. A hole in a function is a type of discontinuity where a point is missing from the graph, causing the graph to have a break in it. This type of discontinuity is usually caused by a function having a denominator that is equal to zero, as this creates an undefined point on the graph. This can also occur when two parts of the function are not connected, causing an open gap in the graph. In both cases, the graph is not continuous and has a discontinuity at the point where the hole is present.

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Yes, the function has a hole in discontinuity.

The term function in math is called as a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables.

Here we to identify is a hole in a function a discontinuity.

the term discontinuity is defined as is discontinuous at a point if it becomes undefined or the limit at that point does not exist. And whether this point is known as the point of discontinuity.

While we looking the hole on a graph looks like a hollow circle. And which  represents the fact that the function approaches the point, here it is not actually defined on that precise value. Where the major reason why this function is not defined at is because is not in the domain of the function.

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Answer:

the mean and standard deviation.

Step-by-step explanation:

i did the work

Answer:

Step-by-step explanation:

\( \mathsf{5(2x - 1) - 2(3x + 2)}\)

Distribute 5 through the parentheses

\( \mathsf{10x - 5 - 2(3x + 2)}\)

Distribute 2 through the parentheses

\( \mathsf{10x - 5 - 6x - 4}\)

Collect like terms

\( \mathsf{4x - 5 - 4}\)

Calculate

\( \mathsf{4x - 9}\)

Hope I helped!

Best regards!

Answer:

a is 130 c is 50 and d is 130 opposite angles are equal and corresponding angles sum equals 180

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is 70π/3.

To find the area between the large loop and the small loop of the curve, we need to find the points of intersection of the curve with itself.

Setting the equation of the curve equal to itself, we have:

2 + 4cos(3θ) = 2 + 4cos(3(θ + π))

Simplifying and solving for θ, we get:

cos(3θ) = -cos(3θ + 3π)

cos(3θ) + cos(3θ + 3π) = 0

Using the sum to product formula, we get:

2cos(3θ + 3π/2)cos(3π/2) = 0

cos(3θ + 3π/2) = 0

3θ + 3π/2 = π/2, 3π/2, 5π/2, 7π/2, ...

Solving for θ, we get:

θ = -π/6, -π/18, π/6, π/2, 5π/6, 7π/6, 3π/2, 11π/6

We can see that there are two small loops between θ = -π/6 and π/6, and two large loops between θ = π/6 and π/2, and between θ = 5π/6 and 7π/6.

To find the area between the large loop and the small loop, we need to integrate the area between the curve and the x-axis from θ = -π/6 to π/6, and subtract the area between the curve and the x-axis from θ = π/6 to π/2, and from θ = 5π/6 to 7π/6.

Using the formula for the area enclosed by a polar curve, we have:

A = 1/2 ∫[a,b] (r(θ))^2 dθ

where a and b are the angles of intersection.

For the small loops, we have:

A1 = 1/2 ∫[-π/6,π/6] (2 + 4cos(3θ))^2 dθ

Using trigonometric identities, we can simplify this to:

A1 = 1/2 ∫[-π/6,π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ

Evaluating the integral, we get:

A1 = 10π/3

For the large loops, we have:

A2 = 1/2 (∫[π/6,π/2] (2 + 4cos(3θ))^2 dθ + ∫[5π/6,7π/6] (2 + 4cos(3θ))^2 dθ)

Using the same trigonometric identities, we can simplify this to:

A2 = 1/2 (∫[π/6,π/2] 20 + 16cos(6θ) + 8cos(3θ) dθ + ∫[5π/6,7π/6] 20 + 16cos(6θ) + 8cos(3θ) dθ)

Evaluating the integrals, we get:

A2 = 80π/3

Therefore, the area between the large loop and the small loop of the curve r = 2 + 4cos(3θ) is:

A = A2 - A1 = (80π/3) - (10π/3) = 70π/3

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Answer:

Okay, I can do that. To divide Rs 4800 in the ratio 4:5:6, Sania will receive Rs 1440, Roshan will receive Rs 1800, and Ananya will receive Rs 2160. Is there anything else I can help you with?

Answer:

Share of Sania =  ₹ 1280

Share of Roshan =  ₹ 1600

Share of Ananya =  ₹ 1920

Step-by-step explanation:

   Ratio = 4 : 5 : 6

 Share of Sania = 4x

Share of Roshan = 5x

Share of Ananya = 6x

        Total share = 4x + 5x + 6x

                           = 15x

Total amount = ₹ 4800

                  15x = 4800

                      x = 4800 ÷ 15

                     x = 320

4x = 4 * 320 = ₹ 1280

5x = 5 * 320 = ₹ 1600

6x = 6 * 320 = ₹ 1920

6y = 3x have the same constant of proportionality as the ratio between quantities that are directly proportional to each other.

It is given to us that y = 1/2x

The constant of proportionality is the ratio between quantities that are directly proportional to each other. In this case, the constant of proportionality is the ratio of y to x.

since y = 1/2x, we have to find the ratio of y to x, that is, y/x = 1/2

Therefore, the constant of proportionality is 1/2

a) For 6y = 3x, when dividing through by 6x, it gives us:

= 6y/6x = 3x/6x

= y/x = 1/2

They have the same constant of proportionality.

therefore, we can say that, 6y = 3x have the same constant of proportionality as the ratio between quantities that are directly proportional to each other.

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Step-by-step explanation:

A natural number is a positive whole number.

A whole number is a positive number with no fractions or decimals.

A interger is a whole number negative or positive.

A rational number is a number that terminates or continue with repeating digits.

A irrational number is a number that doesn't terminate or continue with repeating digits.

1. Rational Number

2. Natural,Whole,Interger,Rational

3. Whole,Rational,Interger

4. Rational

5.Irrational

6.Rational

7.Natural,Whole,Interger,Rational

8.Interger,Rational

9.Irrational

The given argument assumes various things and contains flaws. It assumes that aristocracy is bad because it is old, it assumes a causal relationship between A and B without considering reverse causality.

It makes generalizations about the British people based on the corruption of the British aristocracy, and it lacks sufficient evidence for its claim about aristocrats being uniformly corrupt. To strengthen the argument, it would need to provide evidence of aristocracy causing corruption in society, demonstrate how allowing a corrupt institution reflects the corruption of the people, and provide a clear definition of "aristocracy."

The argument presents several flaws. Firstly, it assumes that aristocracy is bad simply because it is old, which is a faulty assumption (option A). Secondly, it assumes a one-way causal relationship between A and B without considering the possibility of reverse causality (option B). Thirdly, it generalizes the corruption of the British aristocracy to the entire British population without providing any reason for this claim (option D). Finally, the argument lacks proper evidence and argumentation to support its assertion that aristocrats are uniformly corrupt (option E).

To strengthen the argument, it would need to provide evidence showing that aristocracy causes corruption in society as a whole (option B). Additionally, it could present an argument demonstrating how allowing a corrupt institution to continue indicates the corruption of the people as a whole (option C). Lastly, providing a clear and comprehensive definition of "aristocracy" would also strengthen the argument (option E). By addressing these points, the argument would become more valid and convincing.

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Answer:

$13.00 per person

Step-by-step explanation: you divide $26 by 2

Answer:

32

Step-by-step explanation:

9-6 = 3

3 x 6 = 18

18 + 14 = 32

Answer:

you are right, 36°

Step-by-step explanation:

angles add up to 180

Answer: 48

Step-by-step explanation:

51/4=12R3

12R3=48/4+3/4

48/4=12

12*4=48

Answer:

d + c ≤ 20

7.50d + 6c ≥ 92

Step-by-step explanation:

let 'd' = dog walking job

let 'c' = car wash job

System of Linear Equations:

d + c ≤ 20

7.50d + 6c ≥ 92