Question 2 Average annual rainfall totals for cities in New York are listed below. Rochester 0.97 meters Ithaca 0.947 meters Saratoga Spring 1.5 meters New York City 1.268 meters Choose the rainfall measurements which are in order from least to greatest.

Answer:

66

Step-by-step explanation:

11 - 9 + 8^2

11 - 9 + 64

= 66

the number of fruit snacks in the bag is at least 18. Since each of the 3 people received no fewer than 6 fruit snacks, there must have been at least 18 fruit snacks in the bag for them to share equally.

Inequalities specify the connection between two values that are not equal. Equal does not imply inequality. Typically, we use the "not equal symbol (≠)" to indicate that two values are not equivalent. But various inequalities are used to compare the numbers and determine whether they are less than or greater than. Inequalities are the name given to these algebraic mathematical expressions.

Step-by-step explanation:

The inequality x  divided by 3 ≥ 6 can be rewritten as x/3>=6, where x  is the total number of fruit snacks in the bag.

To solve for x, we can multiply both sides of the inequality by 3 to isolate: x/3>=6x>=3*6x>=18

Therefore, the number of fruit snacks in the bag is at least 18. Since each of the 3 people received no fewer than 6 fruit snacks, there must have been at least 18 fruit snacks in the bag for them to share equally.

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Answer:

4x+12

Step-by-step explanation:

4(x+3)²/x+3=4x+12

Answer:

70 pints per day

Step-by-step explanation:

1 cubic meter is 2113.38 pints

on average, there is 30 days in a month

2113.38 divided by 30 is 70.44600

70.44600 is about 70

Answer:

91590

Step-by-step explanation:

The volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

Here, we have to find the volume of the solid enclosed by the two paraboloids \(y = x^2 + z^2\) and \(y = 32 - x^2 - z^2\),

we need to set up a triple integral in cylindrical coordinates.

In cylindrical coordinates, we have:

x = r cos(θ)

z = r sin(θ)

y = y

The limits of integration for r, θ, and y will depend on the region of integration.

First, let's find the intersection points of the two paraboloids:

\(x^2 + z^2 = 32 - x^2 - z^2\\2x^2 + 2z^2 = 32\\x^2 + z^2 = 16\)

This represents a circular region with radius r = 4 in the x-z plane.

Now, let's find the limits of integration for r, θ, and y:

For r:

Since the circular region has a radius of 4, the limits of r will be from 0 to 4.

0 ≤ r ≤ 4

For θ:

The intersection points form a complete circle in the x-z plane, so the limits of θ will be from 0 to 2π.

0 ≤ θ ≤ 2π

For y:

The lower paraboloid is given by \(y = x^2 + z^2\), and the upper paraboloid is given by \(y = 32 - x^2 - z^2\).

The limits of y will be from the lower paraboloid to the upper paraboloid.

\(x^2 + z^2 \leq y \leq 32 - x^2 - z^2\)

Now, we can set up the triple integral to find the volume V:

V = ∫∫∫ (y) dy dθ dr

V = ∫∫∫ \((r^2 cos^2(\theta) + r^2 sin^2(\theta)) dy d\theta dr\)

V = ∫∫∫ \((r^2) dy d\theta dr\)

V = ∫∫ \((r^2) y|_{(x^2+z^2)}^{(32-x^2-z^2)} d\theta dr\)

V = ∫∫ \((r^2) (32 - 2x^2 - 2z^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^2(x^2 + z^2)) d\theta dr\)

V = ∫ \((32r^2 - 2r^2r^2) d\theta dr\)

V = ∫ \((32r^2 - 2r^4) d\theta dr\)

Now, integrate with respect to θ from 0 to 2π:

V = ∫(0 to 2π) ∫(0 to 4) \((32r^2 - 2r^4)\) dr dθ

Now, integrate with respect to r from 0 to 4:

V = ∫(0 to 2π) \([(32/3)r^3 - (1/3)r^5] |_0 ^4\) dθ

V = ∫(0 to 2π) \([(32/3)(4^3) - (1/3)(4^5)]\) dθ

V = ∫(0 to 2π) [(32/3)(64) - (1/3)(1024)] dθ

V = ∫(0 to 2π) [682.67] dθ

V = 682.67 * (2π) - 682.67 * (0)

V = 1365.34π cubic units

Therefore, the volume of the solid enclosed by the two paraboloids is approximately 1365.34π cubic units.

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Answer:

c= 20.00-d

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

You're welcome
Answer above is rounded btw

Full number is:315.24444

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

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In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

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Answer: $ 27.50

Step-by-step explanation:

We know that $24.75 is (100%-10%) = 90% of the original price.

24.75/90 = 0.275 (to find one percent)

0.275 x 100 = 27.5 (100%, the original price)

The inequalities equation which will shade all the points except target point are, y >= 2, y >= -3.5x + 4.5 and y <= 1.25x - 1.5.

The line passing through P(-1,2) and P(-4,2) has a slope of 0 and a y-intercept of 2, so its equation is y = 2. The line passing through P(-1,2) and P(-2,0.5) has a slope of -3.5 and a y-intercept of 4.5, so its equation is y = -3.5x + 4.5. The line passing through P(-2,0.5) and P(-4,2) has a slope of 1.25 and a y-intercept of -1.5, so its equation is y = 1.25x - 1.5.

Now we can create a system of inequalities that will shade all of the points except for T(-2,2). We can do this by making sure that the inequality for each line is greater than or equal to the target point on one side of the line, and less than or equal to the target point on the other side of the line.

For the line y = 2, we can write the inequality y >= 2 on the side of the line that contains the target point T(-2,2). For the line y = -3.5x + 4.5, we can write the inequality y >= -3.5x + 4.5 on the side of the line that contains the point T(-2,2). For the line y = 1.25x - 1.5, we can write the inequality y <= 1.25x - 1.5 on the side of the line that contains the point T(-2,2).

Putting all of these inequalities together, we get:

y >= 2 (for the line passing through P(-1,2) and P(-4,2))

y >= -3.5x + 4.5 (for the line passing through P(-1,2) and P(-2,0.5))

y <= 1.25x - 1.5 (for the line passing through P(-2,0.5) and P(-4,2))

These inequalities should shade all of the points except for the target point T(-2,2), and they should do so with the fewest number of inequalities possible.

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--The complete question is, With the fewest inequalities, shade all the points but leave the targets exposed. Write the inequality equations to do this.

Points are P(-1,2), P(-4,2) and P(-2, 0.5)

T(-2,2)
Graph is show in the image.--

Answer:

If the first slice is pepperoni, then we have left:

1 slice of pepperoni.

2 slices of mushrooms.

2 slices of anchovy.

Then the possible combinations are:

Pepperoni and pepperoni (in only one combination)

Pepperoni and mushrooms (in two combinations, because there are two slices left)

Pepperoni and anchovy (Again in two combinations, because there are two slices left)

These are the 3 possible combinations, 5 in total.

This statement best illustrates money used as a medium of exchange. In this scenario, the individual goes to the store and exchanges $68 for a pair of jeans. Money serves as a medium of exchange when it is used to facilitate transactions between buyers and sellers. In this case, the buyer wants a pair of jeans, and the seller wants to sell them for $68. Without money, they would have to engage in bartering, which can be cumbersome and inefficient. Money makes the transaction smoother and allows both parties to get what they want. Overall, this example demonstrates how money is an essential tool for facilitating transactions in our modern economy.
Hi! Your question is about the function of money as illustrated by the example of paying $68 for a pair of jeans. This statement best illustrates money used as a medium of exchange.

In this scenario, money is being used as a medium of exchange because it is facilitating the transaction between you and the store. Instead of using barter or trading goods and services directly, you use money to acquire the pair of jeans. This makes transactions more efficient and convenient since it eliminates the need for a double coincidence of wants, which is when two parties each have something the other wants. As a medium of exchange, money serves as a universally accepted means to buy and sell goods and services, like your jeans purchase at the store.

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Answer:

\(\huge\boxed{y=9x^2-144x+593}\)

Step-by-step explanation:

\(y=9(x-8)^2+17\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\y=9\bigg(x^2-2(x)(8)+8^2\bigg)+17\\\\y=9(x^2-16x+64)+17\qquad\text{use the distributive property}\\\\y=(9)(x^2)-(9)(16x)+(9)(64)+17\\\\y=9x^2-144x+576+17\\\\y=9x^2-144x+593\)

Answer:

-5×-5>15

+5 +5

-5×>20

÷-5 ÷-5

x<-4

whe you divide by a negativr you flip the sign

The domain model class diagram is used to illustrate the domain models in object-oriented development. It provides an overview of a system's domain models, the major concepts, and their relationships.

These diagrams are used to give an understanding of the software system's requirements and to guide the system's design process.150 words:What is a domain model class diagram?A domain model class diagram is a type of UML diagram that is used to represent the domain models in object-oriented development.

This diagram is used to depict an overview of a system's domain models, the major concepts, and their relationships. A domain model is a visual representation of the system's domain, which includes the concepts, activities, and relationships between the concepts and activities.

A domain model class diagram can be used to capture the user's requirements and translate them into a software system.The domain model class diagram consists of classes, attributes, associations, and operations. Classes are the fundamental building blocks of the system and define the system's concepts.

Attributes are the properties of the classes, while operations are the actions that can be performed on the classes. Associations are the relationships between the classes, and they define how the classes are connected to one another.

The domain model class diagram provides a clear and concise representation of the system's domain and enables designers and developers to build software systems that meet the user's needs.

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Greetings from Brasil...

Rewriting the problem sets

A = {-7, 4, 2, 14, 21, 34, 42}

B = {...; 2; 4; 6; 8; 10; 12; 14; 16; 18; 20; 22; 24; 26; 28; 30; 32; 34; 36; 38; 40; 42;...}

C = {...; -14; -7; 0; 7; 14; 21; 28; 35; 42; 49; 56; 63; 70; 77;...}

So, according to the statement, it is desired:

A ∩ B ∩ C - the intersection between the 3 sets, that is, which numbers are present simultaneously in the 3 sets....

Looking at the sets we conclude that

Answer:

Step-by-step explanation:

The product of a negative two and a positive three is equal to negative six (-6).

The volume V of solid S is e - 1 cubic unit.

What is Volume?

Volume refers to the measure of three-dimensional space occupied by an object or a region. It quantifies the amount of space enclosed by the boundaries of an object or contained within a given region. In mathematical terms, volume is often calculated by integrating the cross-sectional areas of the object or region along a particular axis. Volume is typically expressed in cubic units, such as cubic meters (m^3) or cubic centimeters (cm^3). It is an essential concept in geometry, physics, engineering, and other scientific fields where the measurement of three-dimensional space is involved.

To find the volume of solid S, we need to integrate the areas of the cross sections perpendicular to the x-axis along the interval \([e, \infty).\)

The area of each square cross-section is equal to the square of the side length, which in this case is \(y = \sqrt{\ln(x)}.\)

Therefore, the volume V of solid S can be calculated as:

\(V = \int_{e}^{\infty} (\sqrt{\ln(x)})^2 dx\)

To evaluate this integral, we can simplify the expression:

\(V = \int_{e}^{\infty} \ln(x) dx\)

Using integration by parts, we let \(u = \ln(x)\)and dv = dx:

\(du = \frac{1}{x} dx\\v = x\)

Applying the integration by parts formula:

\(V = [uv] - \int v du= [x \ln(x)] - \int x \left(\frac{1}{x}\right) dx= x \ln(x) - \int dx= x \ln(x) - x + C\)

Evaluating the definite integral:

\(V = [x \ln(x) - x]_{e}^{\infty}= (\infty \cdot \ln(\infty) - \infty) - (e \cdot \ln(e) - e)= \infty - 0 - (1 - e)= e - 1\)

Therefore, the volume V of solid S is e - 1 cubic unit.

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Given:

The volume of storage boxes at 4,800 cubic feet

And the cost of storage = 4.5 cents per cubic feet

so, to find the monthly cost of the storge, we will multiply the cost by the volume as follows:

convert to dollars by divide by 100

So, the answer will be the monthly cost = $216

Answer:

The interest is $300 and the amount is $7800

Step-by-step explanation:

Given

P = $7,500

i = 2​% = 0.02

t = 2 years

Using the formula

I = P × i × t

I = 7,500 × 0.02 × 2

I =  $300

Thus, Edward earned an interest =  $300

The amount in his new account bank can be calculated using the formula:

A = P + I

Since P = $7,500  and I = $300

A = P + I

  = 7,500 + 300

  = $7800

Thus, the new amount in his bank account = A = $7800

Therefore,

Answer:

She will do 61 sit ups.

Step-by-step explanation:

The number of situps are increasing by 4 each day.

So at this rate...

Day 6: 37

Day 7: 41

Day 8: 45

Day 9: 49

Day 10: 53

Day 11: 57

Day 12: 61

The equation (U × V) = (W × U) × V + W × (U × V) provides a formula to determine the cross product of vectors U and V in terms of the cross products of U and V with the vector W.

To determine (U × V), we can use the triple product expansion formula: (U × V) = (W × U) × V + W × (U × V)

Here, (W × U) and (W × V) are given to be equal. By substituting (W × U) for (W × V) in the equation, we get: (U × V) = (W × U) × V + W × (U × V)

This equation provides a relationship between (U × V) and the given vectors (W × U) and (W × V). By using this equation, we can calculate (U × V) based on the given information.

To understand the derivation of the equation (U × V) = (W × U) × V + W × (U × V), let's break it down step by step.

The cross product of two vectors U and V is defined as follows: U × V = ||U|| ||V|| sin(θ) n

Where ||U|| and ||V|| are the magnitudes of vectors U and V, θ is the angle between U and V, and n is a unit vector perpendicular to both U and V in the direction determined by the right-hand rule.

Now, let's consider the equation (U × V) = (W × U) × V + W × (U × V). This equation is based on the triple product expansion formula, which states: A × (B × C) = (A · C)B - (A · B)C

Using this formula, we can rewrite the equation as: (U × V) = ((W × U) · V)V - ((W × U) · W)(U × V) + (W × (U × V))

Expanding this equation further, we have: (U × V) = ((W · V)(U · V) - (W · U)(V · V))V - ((W · V)(U · W) - (W · U)(U · V))(U × V) + (W × (U × V))

Simplifying and rearranging the terms, we arrive at: (U × V) = (W × U) × V + W × (U × V)

This equation establishes the relationship between the cross product of U and V and the cross products of U and V with the vector W. It allows us to calculate (U × V) based on the given equality of (W × U) and (W × V).

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Step-by-step explanation:

So it's...

\( \frac{5\pi}{4} - \frac{\pi}{4} \)

Since the denominators are the same (both of the fractions have 4 on the bottom), you can do simple subtraction to the top while keeping the bottom 4

\(5\pi - \pi = 4\pi\)

Which means the answer is

\( \frac{4\pi}{4} \)

200 melons are good in 60% of the cases.

Create a favourable first impression. Offers customers problems-solutions and a positive experience. Make good use of the newest technologies. clear language for business transactions. Maintain open communication.

The Most Important Characteristic for Sales. No matter what kind of sale it is, or what industry it is in, the most crucial factor that influences someone's decision to buy is always the price. And making oneself increasingly valuable is the key to selling and selling oneself.

200 equates to 100%.

Are good = 200 - 80 = 120

200me = 100%

120me = 100%/200me x = 120000%/200me x = 60%

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The margin of error for the survey, rounded to the nearest tenth, is approximately 4.0% when expressed as a percentage.

To determine the margin of error for a survey at the 95% confidence level, we need to calculate the standard error. The margin of error represents the range within which the true population proportion is likely to fall.

The formula for calculating the standard error is:

Standard Error = sqrt((p * (1 - p)) / n)

where p is the sample proportion and n is the sample size.

In this case, the sample proportion is 64% (or 0.64) since 64% of the 1350 surveyed residents support the plan.

Plugging in the values:

Standard Error = \(\sqrt{(0.64 * (1 - 0.64)) / 1350)}\)

\(= \sqrt{(0.2304 / 1350)} \\= \sqrt{(0.0001707)}\)

≈ 0.0131

Now, to find the margin of error, we multiply the standard error by the appropriate critical value for a 95% confidence level. The critical value corresponds to the z-score, which is approximately 1.96 for a 95% confidence level.

Margin of Error = z * Standard Error

= 1.96 * 0.0131

≈ 0.0257

Finally, to express the margin of error as a percentage, we divide it by the sample proportion and multiply by 100:

Margin of Error as Percentage = (Margin of Error / Sample Proportion) * 100

= (0.0257 / 0.64) * 100

≈ 4.0%

Therefore, the margin of error for this survey, expressed as a percentage to the nearest tenth, is approximately 4.0%.

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