Three sides of a quadrilateral are the same length, g, The length of the fourth side is 7 inches,
The perimeter of the quadrilateral is 10 inches,
Write an equation that represents
the situation
7
3
7

Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

The amount that each person should pay is  $22.06   .

Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

here, we have,

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

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Using pythagoras' theorem in the right-angled triangle

A right-angled triangle is a polygon with 3 sides in which one angle is a right angle

Now, since we have 3 triangles, using Pythagoras' theorem in all three triangles, we have

h² + (12 - x)² = 12² - 6² (1)

Also, h² + x² = 6²  (2)

So, h² + (12 - x)² = 12² - 6²

h² + (12 - x)² = 144 - 36

h² + (12 - x)² = 108  (3)

From equation (2), h² = 36 - x²

Substituting this into equation (3), we have that

h² + (12 - x)² = 108  (3)

36 - x² + (12 - x)² = 108  (3)

Expanding the brackets, we have that

36 - x² + 144 - 24x + x² = 108

36 + 144 - 24x = 108

180 - 24x = 108

-24x = 108 - 180

-24x = -72

x = -72/-24

x = 3

Since  h² = 36 - x²

h = √(36 - x²)

So, substituting the value of x = 3 into the equation, we have that

h = √(36 - x²)

h = √(36 - 3²)

h = √(36 - 9)

h = √27

h = 3√3

So,

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Answer:

There's no way to answer this question 100% accurately, because we don't know your teacher's grading scale, or how much tests and quizzes are weighted for your grade in the class. That being said, one test shouldn't bring your grade down too much. As the year goes on, and more assignments are put in the gradebook, it will even out. If you get a 100 percent on 3 tests, and a 60 percent on one test, it evens out to a 90 percent.

If you need more help, type in "Rogerhub grade calculator." It's a website that is very helpful in calculating your grade for the year. Hope this helps! :)

The average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

The average value of a function f over a rectangle R is given by:

avg(f) = (1/Area(R)) * double integral of f over R

Here, f(x,y) = 5e^(yx) + e^y and R = [0,6] x [0,1]

The area of R is given by:

Area(R) = (6 - 0) * (1 - 0) = 6

So, the average value of f over R is:

avg(f) = (1/6) * double integral of f over R

We can evaluate the double integral using iterated integration. First, we integrate f with respect to y from 0 to 1, and then integrate the result with respect to x from 0 to 6:

integral of f(x,y) dy = integral of (5e^(yx) + e^y) dy

= (5x/2)e^(yx) + e^y + C

where C is the constant of integration.

Now, we integrate this result with respect to x from 0 to 6:

integral of [(5x/2)e^(yx) + e^y] dx = [(5/2) * integral of xe^(yx) dx] + integral of e^y dx

= [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1)] + ey + C

where C is another constant of integration.

Therefore, the average value of f over R is:

avg(f) = (1/6) * [(5/2) * (1/y)e^(yx) - (5/2)(1/y^2)(e^(yx) - 1) + ey] evaluated from y=0 to y=1 and x=0 to x=6

avg(f) = (1/6) * [(5/2) * (1/e^6 - 1) - (5/2)(1/e - 1/e^6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6) - (5/2)(e^-1 - e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-6 - e^-1 + e^-6) + e - 1]

avg(f) = (1/6) * [(5/2) * (1 - e^-1) + e - 1]

avg(f) ≈ 3.427

Therefore, the average value of f over the rectangle [0,6] x [0,1] is approximately 3.427.

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To identify the coldest city in the United States, three different ways of selecting the coldest city could include looking at average annual temperature, average winter temperature, and record low temperatures.

When determining the coldest city based on average annual temperature, the city with the lowest average temperature throughout the year would be considered the coldest. This approach takes into account the overall temperature patterns and variations experienced by a city across all seasons.

Another method is to analyze the average winter temperature of different cities. Since winter is typically the coldest season, comparing the average temperatures during this time can help identify the coldest city. Cities with consistently low winter temperatures are more likely to be considered the coldest.

Lastly, examining the record low temperatures recorded in various cities can also provide insights into the coldest city. By considering the lowest temperatures ever recorded, we can identify the city that has experienced the most extreme cold conditions.

It's important to note that the coldest city in the United States may vary depending on the specific statistical measure used. While some cities may have the lowest average annual temperature, others might experience colder winters or have more extreme record low temperatures. Therefore, it's necessary to consider multiple factors and statistical measures when determining the coldest city.

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Yes, you are correct!

8x⁴-6x³+2/2x²+3

= 4x² + -6x³-12x²+2/2x²+3

= 4x² - 3x + -12x²+9x+2/2x²+2

= 4x² - 3x - 6 + 9x+20/2x²+3

Best of Luck!

For the transformation at -78 °C, appropriate reagents include lithium aluminum hydride (LiAlH4) and diethyl ether.

At -78 °C, certain chemical reactions require the use of specific reagents to achieve the desired transformation. One commonly used reagent is lithium aluminum hydride (LiAlH4), which acts as a strong reducing agent. It is capable of reducing various functional groups, such as carbonyl compounds, to their corresponding alcohols.

Diethyl ether is typically employed as a solvent to facilitate the reaction and ensure efficient mixing of the reactants. Researchers often utilize this low temperature for reactions involving sensitive or reactive intermediates, as it helps control the reaction and prevent unwanted side reactions.

The use of LiAlH4 and diethyl ether provides a reliable combination for achieving the desired transformation at this temperature, enabling chemists to manipulate and modify compounds in a controlled manner.

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Answer: (3, 7)

Step-by-step explanation: The pattern seems to be dividing each axis by 2, so 6/2 = 3 and 14/2 = 7, making (3, 7)

Have a nice day! :)

Answer:

m∠A = 31

b = 13.3

Step-by-step explanation:

Answer:

The statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, and the amount she withdraws every month is approximately $3,833.4

Step-by-step explanation:

The amount Linda saves after 11 months = $50,890

The amount she has in her balance after 2 years = $1,056

Let the equation representing how much Linda saves, 'y', be represented as follows;

y = m·x + c

Where;

x = The number of months

c = Her initial balance (her first deposit)

m = The amount she saves each month

When x = 11, we have;

50,890 = 11·m + c...(1)

When x = 24 (2years), we have;

1,056 = 24·m + c...(2)

Subtracting equation (1) from (2) gives;

1,056 - 50,890 = 24·m - 11·m + c - c

-49,834 = 13·m

m = -49,834/13 ≈ -3,833.4

Therefore, the amount she deposit (withdraws) every month = ($3,833.4)

Therefore, the statement is not true because her final balance after 2 years = 24 months is less than her balance after 11 month, she is withdrawing from her balance every month based on the given account balance.

Answer: 54

Step-by-step explanation:

Total votes: 240

Votes for the winner: x

Votes for candidate 1: x - 8

Votes for candidate 2: x - 13

Votes for candidate 3: x - 15

Equation to find the amount of votes of the winner (x) is:

240 = x +  x - 8 + x - 13 + x - 15

Combine x and x to get 2x.

240=2x−8+x−13+x−15

Combine 2x and x to get 3x.

240=3x−8−13+x−15

Subtract 13 from −8 to get −21.

240=3x−21+x−15

Combine 3x and x to get 4x.

240=4x−21−15

Subtract 15 from −21 to get −36.

240=4x−36

Swap sides so that all variable terms are on the left hand side.

4x−36=240

Add 36 to both sides.

4x=240+36

Add 240 and 36 to get 276.

4x=276

Divide both sides by 4.

x= 4/276  

Divide 276 by 4 to get 69.

x=69

Votes for the winner: 69

Votes for candidate 1: 69 - 8 = 61

Votes for candidate 2: 69 - 13 = 56

Votes for candidate 3: 69 - 15 = 54

The candidate that had the lowest number of votes received 54 votes.

Given d = ba, we can write:

d11 = b1a1 + b2a3

d12 = b1a2 + b2a4

d21 = b3a1 + b4a3

d22 = b3a2 + b4a4

To find the product of d, we need to find the values of b and a such that d11 = d12 = d21 = d22.

Let's assume that d11 = d12 = d21 = d22 = x. Then, we have:

b1a1 + b2a3 = x

b1a2 + b2a4 = x

b3a1 + b4a3 = x

b3a2 + b4a4 = x

We can solve for b1, b2, b3, and b4 in terms of a1, a2, a3, and a4:

b1 = (x - b2a3)/a1

b2 = (x - b1a1)/a3

b3 = (x - b4a3)/a1

b4 = (x - b3a1)/a3

Substituting these values of b1, b2, b3, and b4 into the equation d = ba, we get:

d11 = x = a1(x - b1a3)/a1 + a3(x - b2a1)/a3

= x - b1a3 + x - b2a1

= 2x - (b1a3 + b2a1)

d12 = x = a2(x - b1a3)/a1 + a4(x - b2a1)/a3

= (a2/a1)x - (b1a2 + b2a4) + (a4/a3)x - (b1a4 + b2a4)

= x - (b1a2 + b2a4)

d21 = x = a1(x - b3a3)/a1 + a3(x - b4a1)/a3

= (a1/a1)x - (b3a3 + b4a3) + (a3/a3)x - (b3a1 + b4a3)

= x - (b3a1 + b4a3)

d22 = x = a2(x - b3a3)/a1 + a4(x - b4a1)/a3

= (a2/a1)x - (b3a2 + b4a4) + (a4/a3)x - (b3a4 + b4a4)

= x - (b3a2 + b4a4)

We can rewrite these equations in matrix form as:

| 2 -a3-a1 0 0 || x | | b1a3 + b2a1 |

| 0 a2 0 -a4 || | = | b1a2 + b2a4 |

| -a3-a1 0 2 -a1 || | | b3a1 + b4a3 |

| 0 -a4 -a1 2 || | | b3a2 + b4a4 |

To solve for x, we need to invert the matrix on the left and multiply it by the vector on the right:

| x | | 2 -a3-a1 0

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The volume of the cylinder can be obtained from the calculation as  1356 \(cm^3\)

We know that the volume of the cylinder is;

π (pi) is a mathematical constant approximately equal to 3.14159

r is the radius of the cylinder's base (the distance from the center to the edge of the circular base)

h is the height of the cylinder (the distance between the bases)

By substituting the appropriate values for the radius and height into the formula, you can calculate the volume of the cylinder.

V = π\(r^2\)h

V = 3.14 *\((12/2)^2\) * 12

h = 1356 \(cm^3\)

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The volume of a solid refers to the amount of three-dimensional space that the solid occupies. The volume of the solid is -1728π cubic units.

The formula for calculating the volume of a solid depends on its shape.

Here are the formulas for finding the volume of common types of solids:

Cube: The volume of a cube is given by V = s³, where s represents the length of one side of the cube.

Rectangular Prism: The volume of a rectangular prism is calculated as V = lwh, where l, w, and h represent the length, width, and height of the prism, respectively.

Cylinder: The volume of a cylinder is given by V = πr²h, where r is the radius of the circular base and h is the height of the cylinder.

Sphere: The volume of a sphere can be calculated using V = (4/3)πr³, where r represents the radius of the sphere.

Cone: The volume of a cone is given by V = (1/3)πr²h, where r is the radius of the circular base and h is the height of the cone.

Pyramid: The volume of a pyramid can be calculated using V = (1/3)Bh, where B represents the area of the base of the pyramid and h is the height of the pyramid.

These are just a few examples, and there are many other formulas for finding the volume of different solids. It's important to identify the shape of the solid and then apply the appropriate formula to calculate its volume.

The base of the solid is a triangular region bounded by the y-axis and the lines y = 24 and x = -24. To find the volume of the solid when the cross sections perpendicular to the x-axis are semicircles, we need to integrate the area of each cross section.

The length of each semicircle is equal to the difference in y-values between the two lines, which is 24 - 0 = 24 units. Since the radius of a semicircle is half the length of the diameter, the radius of each semicircle is 12 units.

To find the area of each semicircle cross section, we use the formula for the area of a semicircle: A = πr²/2. Plugging in the radius (12) into the formula, we have A = π(12²)/2 = 72π square units.

To find the volume of the solid, we integrate the area of each cross section along the x-axis. The limits of integration are from x = 0 to x = -24, since the solid is bounded by the y-axis and the lines x = -24 and y = 24.

The integral for the volume V is given by V = ∫[0, -24] 72π dx.

Evaluating this integral, we have V = 72π ∫[0, -24] dx = 72π [x] [0, -24] = 72π(-24 - 0) = -1728π cubic units.

Therefore, the volume of the solid is -1728π cubic units.

Note: The negative sign in front of the volume indicates that the solid is oriented below the x-axis. Since volume cannot be negative, we take the absolute value of the result. So, the volume of the solid is 1728π cubic units.

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Answer:

x = 6

Step-by-step explanation:

Given

\(\frac{4}{3}\) = \(\frac{8}{x}\) ( cross- multiply )

4x = 24 ( divide both sides by 4 )

x = 6

Answer:

D

Step-by-step explanation:

ΔWXZ and ΔYZX

WZ ≅XY    {Given}

ZX ≅ ZX      {Reflexive property}

∠W ≅ ∠Y

But for SAS congruent the congruent angles should between congruent sides( WX & WZ should be congruent to ZY & XY respectively).

So it cannot be proved using SAS congruent

\(\sin( x )=\cfrac{\stackrel{opposite}{6}}{\underset{hypotenuse}{10}} \implies \sin( x )= \cfrac{3}{5} \implies x =\sin^{-1}\left( \cfrac{3}{5} \right)\implies x \approx 36.87^o\)

Make sure your calculator is in Degree mode.

Answer:

x = 36.87

Step-by-step explanation:

sin^-1 (x) = 6/10

36.869

The measure of angle x = 36.87

Hope this helps! :)

5x+20 = 10

Collecting like terms, we have;

5x = 10 - 20

Therefore, x = -2

The statements that are true about object-oriented analysis are: b) Control classes receive or handle system events, c) encapsulate behavior of use case, d) implement the controller pattern.

Object-oriented analysis and design (OOAD) is a technical method for analyzing and planning an application, system, or business using object-oriented programming and visual modeling to direct stakeholder communication and product quality throughout the software development process.

Modern software engineering practices typically involve iterative, incremental OOAD. Analysis models for OOA and design models for OOD are the byproducts of OOAD activities, respectively. The goal is for these to continuously improve and change, guided by important factors like risks and business value.

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Note that the full question is:

Which statements are true about control classes in object-oriented analysis? Select all that apply.

a) Control classes manage data structures.

b) Control classes receive or handle system events.

c) Control classes encapsulate behavior of use case.

d) Control classes implement the controller pattern.

The change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

Nominal exchange rate is the price of one currency in terms of another currency. It represents the number of units of one currency that can be purchased with a single unit of another currency. In Canada's perspective, a change in nominal exchange rate means the value of the Canadian dollar in US dollars. So, to calculate the change in nominal exchange rate from Canada's perspective.

Nominal Exchange Rate = Real Exchange Rate x (1 + Inflation of Canada) / (1 + Inflation of US) Given, Real Exchange Rate of Canada

= 4.9% Inflation of Canada

= 8.5% Inflation of US

= 3.8%  Nominal Exchange Rate

= 4.9% x (1 + 8.5%) / (1 + 3.8%) Nominal Exchange Rate

= 4.9% x 1.085 / 1.038 Nominal Exchange Rate

= 5.3099 / 1.038 Nominal Exchange Rate

= 5.11 (rounded to two decimal places)

This means that if there were no inflation, the nominal exchange rate from Canada's perspective would have been 5.11 Canadian dollars per US dollar. But due to inflation, the Canadian dollar depreciated by 2.76% (calculated as (5.11 - 4.97) / 5.11 x 100%). Therefore, the change in the nominal exchange rate, in Canada's perspective, is a depreciation of the Canadian dollar by 2.76%.

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The latest time Jane and her family can start hiking is 3:19 p.m.

The latest time Jane and her family can start hiking is as follows:

1. First, find the total time needed for hiking and setting up camp: 1 hour and 36 minutes for hiking, plus 57 minutes for setting up camp.

2. Convert the hours and minutes to minutes only: 1 hour = 60 minutes, so 1 hour and 36 minutes = 60 + 36 = 96 minutes.

3. Add the hiking time (96 minutes) to the camp setup time (57 minutes): 96 + 57 = 153 minutes.

4. Convert 153 minutes back to hours and minutes: 153 minutes = 2 hours and 33 minutes.

5. Subtract the total time needed (2 hours and 33 minutes) from the sunset time (5:52 p.m.): 5:52 p.m. - 2 hours and 33 minutes.

6. The latest time Jane and her family can start hiking is 3:19 p.m.

Your answer: The latest time Jane and her family can start hiking is 3:19 p.m.

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The probability that at least one will have a defect if if 10 items are chosen at random is  0.65132.

binomial distribution is given as :

\(P(X=x) = (_{x} ^{n}) p^{x}q^{n-x} ; x = 0,1,2,3,........n\\q = 1 - p ;\)

where

x = number of times for a specific outcome within n trials

{n  x}=      number of combinations

p = probability of success on a single trial

q = probability of failure on a single trial

n = number of trials

Let D be a random variable represents the number of defected items out of 10.

i.e., D(0,1,2,3,4,5,6,7,8,9,10)

probability that given items is defected is :

p = 0.1

q = 1 - p

q = 1 - 0.1 = 0.9

where

p = probability of defected items

q = probability of non-defective

then

D- bin(10,0.1)

P(D=0) = \(^{10} C_{0}{(0.1)^0}{(0.9)^{10}}\)

\(= \frac{10!}{0!(10-0)!} * (0.9)^{10}\)

= 0.3486784401

\(P(D\geq 1) = 1-P\)

1 - = 0.3486784401

= 0.65132

The probability that at least one will have a defect if if 10 items are chosen at random is  0.65132.

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The four criteria that can be used to prove triangles are congruent and can be used to prove the triangles are congruent.

Triangle congruence: Two triangles are said to be congruent if all three of their corresponding sides and all three of their corresponding angles have the same measurements. These triangles can be moved around, rotated, flipped, and turned to have a same appearance. They match up with one another when moved.

The four criteria that can be used to prove triangles are congruent are SAS (Side-Angle-Side), ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), and SSS (Side-Side-Side). Additionally, CPCTC (Corresponding Parts of Congruent Triangles are Congruent) can be used to prove the triangles are congruent.

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Answer:

EF ≈ 35.4 yards

Step-by-step explanation:

to find EF use the sine ratio in the right triangle, that is

sin40° = \(\frac{opposite}{hypotenuse}\) = \(\frac{EF}{DF}\) = \(\frac{EF}{55}\) ( multiply both sides by 55 )

55 × sin40° = EF , then

EF ≈ 35.4 yards ( to the nearest tenth )

Answer:

Step-by-step explanation

2=x

The correct matching relating the correlation coefficients are given as follows:

A correlation coefficient is an index that measures the association between multiple variables.

The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.

Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.

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After 3 years, the balance in the account would be approximately $2,708.

To find the balance after 3 years for an account that pays 2.5% annual interest compounded monthly, we can use the formula for compound interest:

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

Where:

A is the final balance

P is the principal amount (initial deposit)

r is the annual interest rate (as a decimal)

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

t is the number of years

In this case:

P = $2500

r = 2.5% = 0.025 (as a decimal)

n = 12 (monthly compounding)

t = 3 years

Plugging in these values into the formula, we get:

A = $2500(1 + 0.025/12)^(12*3)

A = $2500(1.00208333333)^(36)

Using a calculator, we can evaluate the expression inside the parentheses and calculate the final balance:

A ≈ $2500(1.083282498) ≈ $2708.21

Therefore, after 3 years, the balance in the account would be approximately $2,708.

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Answer: 12 days

Step-by-step explanation:

3.87/3=1.29 liters of jam in 1 day

1.29*12=15.48 liters in 12 days

Answer:

12 days

Step-by-step explanation: