Answer is not 1 or 3 or 5.
How many ordered pairs (A,B), where A, B are subsets of {1,2,3,4,5), are there if: |A| + B = 4 1

The original price of the ticket was $210 and the new price is $310.

To find the percentage increase, we can use the formula:

percentage increase = (new price - old price) / old price * 100%

So, the percentage increase in the ticket price is:

percentage increase = (310 - 210) / 210 * 100% = 47.62%

Therefore, the ticket price has increased by 47.62%.

If the airline charges an additional $50 baggage fee with the new ticket price of $310, then the new price will be $360.

To find the new percentage increase, we can use the same formula:

percentage increase = (new price - old price) / old price * 100%

So, the percentage increase in the ticket price with the additional $50 baggage fee is:

percentage increase = (360 - 210) / 210 * 100% = 71.43%

Therefore, the ticket price has increased by 71.43% with the additional $50 baggage fee.

Answer:

Percent Increase= 47.619% increase, With $50 baggage fee= 71.4286% increase

Step-by-step explanation:

Answer:Garret had 1/10 of the pizza left.

Step-by-step explanation:thats good

Account A has a principal of  $15,000

Account B has a principal of $6250

Hence, account A will earn the highest interest in the first month.

When we talk about the simple interest, we mean the kind of interest that is charged only on the principal sum and not on the interest of the former year. Given that 18 months is 1.5 years and 15 months is 1.4 years we can now have that;

I= PRT/100

A = P + I

P = principal

I = interest

R = rate

T =time

Thus;

For account A

8.1 = P * 0.036 * 1.5/100

8.1 = 0.054P

P = $15,000

For account B;

19.25 = P * 0.022 * 1.4/100

P = 1925/0.308

P = $6250

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The length of BD is 53 units.

We are given here that BD is (8x - 27) units and EC is (2x + 33) units. BD and EC are the diagonals of a trapezoid. As we know that diagonals of a trapezoid are equal. Therefore, we will equate the given diagonals of a trapezoid.

BD  =  EC

Substituting the given values of BD and EC

8x - 27  =  2x + 33

combining the like terms

8x - 2x  =  33 + 27

6x  =  60

x = 60/6

x = 10

Now, as we have to find BD, we will substitute the value of x in the given equation for BD.

BD = 8x - 27

BD = 8(10) - 27

BD = 80 - 27

BD = 53

Therefore, BD is 53 units.

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The complete question is " If BD = 8x - 27 and EC-2x + 33, find BD​ with respect to the image shown."

The probability of choosing a black chip and then another black chip is,

⇒ 1/3

Since, There are 4 + 6 = 10 chips in the bag.

And, 6 of them are black .

Hence, The probability that the first chip chosen will be black is,

⇒ 6/10

⇒ 3/5.

After that, there is one black chip less in the bag, so there are 9 chips in the bag, 5 of them are black.

Hence, The probability that the second chip chosen will be black is,

⇒ 5/9

Now, Multiply the probabilities to find the probability that the first chip will be black and the second chip will be black:

⇒ 3/5 × 5/9

⇒ 1/3

Thus, The probability of choosing a black chip and then another black chip is,

⇒ 1/3

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Answer:

x= 9 in

Step-by-step explanation:

Volume = L ×W ×h

153 in3 =2in ×8.5in × h

153 in3 = 17in2 ×h

h = 153 in3/17in2

h = 9 inch

so the height if the figure has 9in length

Answer: Another simple way to help get the tears flowing is by yawning. “Try yawning a few times in a row to wake up the tear ducts. This may be helpful ...

Step-by-step explanation:

The graph is attached.

Given is a triangle ABC, we need to find its coordinates if it is reflected over y = -x,

The rule of reflection over y = -x is,

(x, y) = (-x, -y)

So,

A = (-5, -4)

B = (1, -4)

C = (-1, -5)

After reflection,

A' = (5, 4)

B' = (-1, 4)

C' = (1, 5)

Hence the points after reflection are A' = (5, 4), B' = (-1, 4) and C' = (1, 5)

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The number of frames that the welders would be able to complete in 4 hours would be 10 frames.

The time taken by one welder is 8 hours for one frame which means the work rate would be:

= 1 / 8

= 1 / 8 frames per hour

If we have 20 welders therefore, the work rate per hour would be :

= 1 / 8 x 20

= 2. 5 frames per hour

Given 4 hours, the number of frames they would make is:

= 2. 5 x 4 hours

= 10 frames

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First part of question is:

A welding company produces burglar frames for windows and doors. In order to complete one frame, one welder needs 8 hours.

The series converges for all values of p < -1, and diverges for all values of p ≥ -1.

To apply the Integral Test, we need to verify that the terms of the series are positive and decreasing for all n greater than some fixed integer. For this series, note that the terms are positive since both the base and the natural logarithm are positive. To show that the terms are decreasing, we take the ratio of successive terms:

[tex]a(n+1)/a(n) = [(n+1)ln(n+1)]^p / [nln(n)]^p[/tex]

[tex]= [(n+1)/n]^p * [(1+1/n)ln(1+1/n)]^p[/tex]

Since (n+1)/n > 1 and ln(1+1/n) > 0 for all n, it follows that the ratio is greater than 1 and therefore the terms are decreasing.

To use the Integral Test, we need to find a function f(x) such that f(n) = a(n) for all n and f(x) is positive and decreasing for x ≥ 3. A natural choice is [tex]f(x) = x(ln(x))^p[/tex]. Note that f(n) = a(n) for all n and f(x) is positive and decreasing for x ≥ 3. Then we have:

integral from 3 to infinity of f(x) dx = integral from 3 to infinity of x(ln(x))^p dx

To evaluate this integral, we use integration by substitution with u = ln(x):

[tex]du/dx = 1/x, dx = x du[/tex]

So the integral becomes:

integral from ln(3) to infinity of [tex]u^p e^u du[/tex]

This integral converges for p < -1, by the Integral Test for Improper Integrals.

Therefore, the series converges for all values of p < -1, and diverges for all values of p ≥ -1.

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Answer:

Step-by-step explanation:

Answer: A=38.48

Step-by-step explanation:

A=πr^2

7/2=3.5

3.5x3.5=12.25

12.25π

38.48

Hope this helps! :)

Answer:

A = 120; C = 95

Step-by-step explanation:

We will need a system of equations to solve for C, the number of child tickets and A, the number of adult tickets.

We know that the sum of the revenue earned from both the child tickets and the adult tickets = the total revenue

Thus, our first equation is 3C + 14A = 1965

We also know that the sum of the total number of child and adult tickets = the the total number of tickets

Thus, our other equation is C + A = 215

We can solve using substitution by first isolating c in the second equation:

[tex]C+A=215\\C=-A+215[/tex]

Now, we can plug in the equation we just made for C in the first equation in our system to solve for A:

[tex]3(-A+215)+14A=1965\\-3A+645+14A=1965\\11A+645=1965\\11A=1320\\A=120[/tex]

Finally, we can solve for C using the second equation in our system by plugging in 120 for A:

[tex]C+120=215\\C=95[/tex]

The probability that the weight will be less than 4504 grams is 0.9713.

We need to standardize the value 4504 using the given mean and variance, and then use the standard normal distribution table to find the corresponding probability.

The standard deviation is the square root of the variance: √391876≈626.05

So, the z-score for a weight of 4504 grams is:

z=(4504−3315)/626.05≈1.8974

Using a standard normal distribution table, we find that the probability of a z-score being less than 1.8974 is approximately 0.9713.

Therefore, the probability that a newborn baby boy born at the local hospital will weigh less than 4504 grams is approximately 0.9713.

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The solution of the system of equations 3x − 3y = 6 and 2x + 6y = 12 is x = 3 and y = 1, hence option is b is correct.

We must eliminate one of the variables by adding or subtracting the two equations in order to solve for (x, y) using elimination. Let us multiply the equation by 2 and 3 respectively so that the equations becomes,

6x - 6y = 12

6x + 18y = 36

Now, using the equations,

24y = 24

So, y = 1. Substituting this back into either of the original equations gives:

3x - 3(1) = 6

3x = 9

So, x = 3. Therefore, the answer of equation is (b) (3, 1).

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The intercepts of the equation 5x - 3y = -30 include the following:

x-intercept = (-6, 0).

y-intercept = (0, 10).

In Mathematics and Geometry, the x-intercept is the point at which the graph of a function crosses the x-coordinate (x-axis) and the value of "y" or y-value is equal to zero (0).

When the y-value = 0, the x-intercept can be calculated as follows;

5x - 3y = -30

5x - 3(0) = -30

5x = -30

x = -30/5

x = -6.

When the x-value = 0, the y-intercept can be calculated as follows;

5x - 3y = -30

5(0) - 3y = -30

3y = 30

y = 30/3

y = 10.

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Complete Question:

What are the intercepts of the equation 5x - 3y = -30?

Answer:

cos A = 45

Step-by-step explanation:

90 - sin A = 45 = cos A

90 Minus whatever the cos value for the angle is = the sin and vice versa.

The given equation is a constant function with a horizontal line passing through (0, 1). Here option E is the correct answer.

The given equation, f(x) = 1, represents a constant function, where the output or value of the function is always equal to 1 for any input value of x. This is a special case of a linear function, where the slope is zero and the y-intercept is a non-zero constant value.

Among the four given options, none of them is a constant function. A reciprocal function, y = 1/x, has a variable slope and a vertical asymptote at x = 0. A square root function, y = √x, has a non-linear shape and a domain of x ≥ 0. An absolute value function, y = |x|, has a V-shaped graph and is symmetric around the y-axis. A cube root function, y = ∛x, is also non-linear and has a domain of all real numbers.

Therefore, the correct answer is not listed among the options, and the function f(x) = 1 does not belong to any of the parent functions mentioned. It is a simple constant function with a horizontal line as its graph, passing through the point (0, 1) on the y-axis.

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Complete question:

Which type of parent function does the equation f(x) = 1 represent?

A. Reciprocal

B. Square root

C. Absolute value

D. Cube root

E. None of these

The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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The area of a regular polygon with perimeter of 58 and apothem 10 is 290 square units

It is important to note that the formula for calculating the area of a regular polygon is expressed as;

A = 1/2(ap)

This is so, such that the parameters of the formula are given as;

Now, substitute the values into the equation;

Area = 1/2 × 58 × 10

Multiply the values

Area = 580/2

Divide the values, we get;

Area = 290 square units

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The length of diagonal of square is 6√2 inch.

We have,

side length  = 6 inches

Now, the formula for diagonal length of square as

d = √2a

where a is the side of square.

So, the length of diagonal of square is

= 6√2 inch.

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If two samples from the same population have the same mean and are both n = 100, they will probably still have different sample variances.

We have,

If two samples from the same population have the same mean and are both n=100, they will probably still have different sample variances.

This is because sample variance refers to the dispersion or spread of data points within each individual sample, and this can vary even if the samples have the same mean and sample size (n=100).

It's important to note that the other options (t-statistics, standard errors, and alpha values) are related to the sampling distribution or hypothesis testing, which may not be different simply due to having the same mean and sample size.

Thus,

If two samples from the same population have the same mean and are both n = 100, they will probably still have different sample variances.

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To model the population of a city, we can use the formula:

f(x) = 1,596,000 * (1 + 0.035)^x

Where x is the number of years since 2020 and 0.035 represents the annual increase rate of 3.5%.

To model the population of a city, we need to take into account the initial population in 2020 and the annual increase rate of 3.5%. The annual increase rate of 3.5% means that the population is expected to grow by 3.5% every year from the previous year's population. To incorporate this growth rate into our model, we can use the formula for compound interest:

A = P * (1 + r)^t

Where A is the final amount, P is the initial amount, r is the annual interest rate, and t is the number of years. In our case, the final amount is the population after x years since 2020, the initial amount is the population in 2020 (1,596,000), the annual interest rate is 3.5%, and the number of years is x.

By substituting the values into the formula, we get:

f(x) = 1,596,000 * (1 + 0.035)^x

This formula can be used to calculate the expected population of the city for any year in the future. For example, if we want to know the population in 2025, we can substitute x = 5 into the formula:

f(5) = 1,596,000 * (1 + 0.035)^5

= 1,825,854

Therefore, we can expect the population of the city to be around 1,825,854 in 2025, assuming the same annual increase rate of 3.5%.

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When using the -x^2 - V command in WolframAlpha, it is important to correctly use parentheses to ensure the proper order of operations. The command should be written as "-(x^2) - V" to subtract x squared from V, rather than "-x^2 - V" which would subtract V from x squared.

To use the WolframAlpha method introduced in the Section 7.1 Learning Guidance and Section 7.1 Homework solutions to match the function Z = x^2y^3e^(-x-y) given by Problem 32 on Page 392 with a graph and a contour map on Page 393, you can follow these steps:

1. Go to the WolframAlpha website (www.wolframalpha.com).
2. In the search bar, type in "plot x^2*y^3*e^(-x-y)" and press enter.
3. WolframAlpha will generate a graph of the function Z = x^2y^3e^(-x-y), which can be used to match with the graph and contour maps on Page 393.
4. To generate a contour map, type in "contour plot x^2*y^3*e^(-x-y)" and press enter. WolframAlpha will generate a contour map of the function, which can be compared to the contour maps on Page 393.

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Rounding to the nearest tenth of a gallon, we have that the cooler can hold about 74.0 gallons of water.

The volume of a cylinder is given by the formula V = πr^2h, where r is the radius of the base and h is the height.

In this case, the diameter of the cooler is 30 inches, which means the radius is 15 inches (since the radius is half the diameter). The height is 24 inches.

Using the formula for the volume of a cylinder, we have:

V = π[tex]r^2h[/tex]

= π([tex]15^2)(24[/tex])

= 5400π cubic inches

To convert cubic inches to gallons, we need to divide by the conversion factor 231 cubic inches per gallon. Therefore, the volume of the cooler in gallons is:

[tex]V_gal[/tex]= (5400π cubic inches) / (231 cubic inches/gallon) ≈ 74.0 gallons

Rounding to the nearest tenth of a gallon, we have that the cooler can hold about 74.0 gallons of water.

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Answer:

n = 18

Step-by-step explanation:

We can use the following equation to solve for n:

[tex]1/2n+15=24\\1/2n=9\\n=18[/tex]

If we check, we see that half of 18 is 9 and 9 + 15 is indeed 24

The midpoint of the two points of P (-3,-7) and Q (3,-5) is (0, -6).

When you have the vertices of two points, you can find the midpoint by the formula :

= ( ( x 1 + x 2 ) / 2 , ( y 1 + y 2 ) / 2 )

Solving for the midpoint therefore gives:

= ( ( - 3 + 3 ) / 2 , ( - 7 + ( - 5 ) ) / 2 )

=  ( 0 / 2 , ( - 12 ) / 2 )

= (0, -6)

In conclusion, the midpoint is (0, -6).

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The expected number of sample means falling between 174.2 and 177.2 can be estimated as:

Expected number = A * Total number of sample means.

(a) The mean of the sampling distribution of X is given as 176.5 and the standard deviation is 1.28.

(b) To determine the expected number of sample means that fall between 174.2 and 177.2 centimeters inclusive, we need to calculate the z-scores corresponding to these values and find the area under the normal curve between these z-scores.

The z-score for 174.2 can be calculated as:

z1 = (174.2 - 176.5) / 1.28

Similarly, the z-score for 177.2 can be calculated as:

z2 = (177.2 - 176.5) / 1.28

Using a standard normal distribution table or a calculator, we can find the area between these two z-scores.

Let's assume the area between z1 and z2 is A. The expected number of sample means falling between 174.2 and 177.2 can be estimated as:

Expected number = A * Total number of sample means.

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The volume of the right rectangular prism is 156 cubic centimeters.

We have,

The formula for the volume of a rectangular prism is:

V = l x w x h

where V is the volume, l is the length, w is the width, and h is the height.

Using the given values, we can substitute them into the formula to find the volume of the rectangular prism:

V = 13 cm x 4 cm x 3 cm

V = 156 cm^3

Therefore,

The volume of the right rectangular prism is 156 cubic centimeters.

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