The function f(x) is translated left 3 units, down 2 units and is reflected across the x-axis to make the
new function g(x). Which of the following best represents g(x)

Answer:

1/12

Step-by-step explanation:

1/4*3

The radius of the smaller circle is 8 cm, and the radius of the larger circle is 10 cm.  The formula that will use is πr^2 + π(r+2)^2 = 100π where r be the radius of the smaller circle.

Let r be the radius of the smaller circle, then the radius of the larger circle is (r+2) cm. The sum of the areas of the two circles is given by:

πr^2 + π(r+2)^2 = 100π

Simplifying and solving for r, we get:

2r^2 + 4r - 96 = 0

(r+8)(2r-12) = 0

r = -8 or r = 6

Since the radius has to be a positive value, we can discard the negative solution. Therefore, the radius of the smaller circle is 6 cm, and the radius of the larger circle is (6+2) = 8 cm. We can verify that the sum of their areas is indeed 100π.

Alternatively, we can solve for the radius of the smaller circle using the formula:

πr^2 = (100π)/2 - π(r+2)^2

Simplifying and solving for r, we get:

r = 6

Then, we can find the radius of the larger circle by adding 2 cm:

r+2 = 8

Therefore, the radius of the smaller circle is 6 cm, and the radius of the larger circle is 8 cm.

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10,000 records have 30 predictor variables, each with 5% of the values missing, resulting in 15,000 missing values. The predictive model drops any row with even a single missing value, so 5,000 records would be dropped from the analysis.

1. There are 30 predictor variables.

2. Each variable has 5% of the values missing.

3. 5% of 10,000 records = 500 records.

4. 30 variables x 500 records = 15,000 missing values.

5. 10,000 records - 15,000 missing values = 5,000 records dropped from the analysis.

The data set has 10,000 records and 30 predictor variables. Each variable has 5% of the values missing, so 500 records are missing for each variable. This results in 15,000 missing values spread randomly and independently throughout the data set. The analyst uses a predictive model that drops any row (record) with even a single missing value, so 5,000 records would be dropped from the analysis.

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Answer:

250x+140=y

Step-by-step explanation:

so amount earned for 10 hours of work is 250

Answer:

A. Odd

B. Positive Leading Coefficient

Step-by-step explanation:

When it comes to degree - Odd degrees start from below the x axis and end over the y axis

For leading coefficients - Positive leading coeffcients always start from below, since we know the degree is odd, this leading coefficient fit.

The probability that the sample mean will be more than $542.4 is approximately 0.793 or 79.3%.

To solve this problem, we need to use the central limit theorem, which states that the sample mean of a sufficiently large sample (n ≥ 30) will be approximately normally distributed with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.

In this case, the sample size is 39, which is greater than 30, so we can assume that the sample mean is normally distributed with a mean of $552 and a standard deviation of $75 / √39 ≈ $12.08.

To find the probability that the sample mean will be more than $542.4, we need to standardize the value using the standard normal distribution. We can calculate the z-score as:

z = (542.4 - 552) / 12.08 ≈ -0.819

Using a standard normal distribution table or a calculator, we can find the probability that a standard normal random variable is greater than -0.819 to be approximately 0.793.

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The area of the kite is \(66 \ cm^2\).

To find the area of a kite, you can use the formula: Area = \(\frac{(diagonal \ 1 \times diagonal \ 2)}{2}\)

In this case, the measurements given are \(6\) cm, \(1\) cm, and \(11\) cm. However, it is unclear which measurements correspond to the diagonals of the kite.

If we assume that the 6 cm and 11 cm measurements are the diagonals, we can calculate the area as follows:

Area = \(\frac{6 \times 11 }{2}\)

= \(66\) cm²

If the \(1\) cm measurement is one of the diagonals, and the other diagonal is unknown, it is not possible to calculate the area accurately without the measurement of the other diagonal. Without knowledge of the lengths of both diagonals of the kite, it is not possible to determine the exact area as it depends on the specific dimensions.

Therefore, the area of the kite is \(66 \ cm^2\).

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The cost of each subscription will be $300.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

An equestrian club orders magazine subscriptions for new members.

Last year they had 2 new members and spent $600 on subscriptions.

Then the equation is given below.

2m = 600

Then the cost of each subscription will be

2m = 600

m = $300

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The probability of not rolling a 2 or 3 is 2/3

A probability is a number that reflects the chance or likelihood that a particular event will occur.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favorable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes

Since Paris is not interested in rolling a 2 or 3, the number of favorable outcomes will be ?

Number of favorable outcomes = 6 - 2 = 4

Total number of outcomes = 6

The probability of not rolling 2 or 3 = 4 / 6 = 2/3

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Answer:

x = 6

Step-by-step explanation:

Angle RPG = (Arc RQ + Arc SC)/2     Interior Secant Theorem

124 = (197 + 9x - 3)/2      Substitution

124 = (194 + 9x)/2           Alg

124 = 97 + 4.5x              Alg

27 = 4.5x                        Alg

x = 6                               Alg

Hope this helped! Ask me if you didn't understand something.

The correlation coefficient indicative of the weakest linear relationship is option (c) -0.05. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

Correlation coefficient ranges from -1 to 1, with -1 indicating a perfect negative linear relationship, 1 indicating a perfect positive linear relationship, and 0 indicating no linear relationship. Therefore, a correlation coefficient closer to 0 indicates a weaker linear relationship. Among the given options, the correlation coefficient of -0.05 is the closest to 0, indicating the weakest linear relationship.

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Answer:

2,090,000

Step-by-step explanation:

Area = Area of Chile + Area of Bosnia

Area of Chile = 2*1000000

Area of Bosnia = 9*10000

Area = 2,000,000 + 90,000

Area = 2,090,000

Answer:

Step-by-step explanation:

there total

= 2*\(10^{6}\) + 9*\(10^{4}\)

= 2*1,000,000 + 9*10,000

= 2,000,000 + 90,000

= 2,090,000

= 209*\(10^{4}\)

= 2,09*\(10^{6}\)

Answer:

2% sjjdjdjjdjjdjdjdjjrjir

Answer:

16

Step-by-step explanation:

6x = 2(x + 32)

I hope this helps!

The width of the rectangle is 16 inches.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Length = 32 inches

Perimeter = 6 x width

Now,

2 (length + width) = 6 x width

2 (32 + width) = 6 x width

32 + width = 3 x width

32 + width = 3width

32 = 3width - width

32 = 2 width

width = 16 inches

Thus,

The width is 16 inches.

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The speed of red light in a diamond, denoted as vred, is approximately equal to the speed of light in a vacuum, c, which is 2.998 × 10^8 m/s, rounded to four significant figures.

According to the principles of optics and the refractive index of a material, the speed of light in a medium is generally lower than its speed in a vacuum. The refractive index of a diamond is approximately 2.42.

To calculate the speed of red light in a diamond, we can use the formula vred = c / n, where c represents the speed of light in a vacuum and n represents the refractive index of the diamond.

Substituting the given values, we have vred = (2.998 × 10^8 m/s) / 2.42. Evaluating this expression yields a result of approximately 1.239 × 10^8 m/s.

Rounding this value to four significant figures, we obtain the speed of red light in a diamond, vred, as approximately 1.239 × 10^8 m/s.

Therefore, the speed of red light in a diamond, rounded to four significant figures, is approximately 1.239 × 10^8 m/s, which is slightly lower than the speed of light in a vacuum, c.

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Answer:

Yes, she does

Step-by-step explanation:

105min=1h 45min

14h 30min + 1h 45min= 16h 15min

16h 15min + 0h 20min=16h 35min

16h 45min - 16h 35min= 10min

So, the answer is yes, she does and she still has 10 minutes free.

Answer:

A . 496 ft²

Step-by-step explanation:

Area = ½ × base × height

= ½ × 62 × 16

=496 ft²

(a) There is no extreme value of A subject to the given constraint,

(b) For x = 0, y + z² ≤ 16.

y is between -4 and 4. In this case, f(y,z) = y² and the maximum value is 16.

For x = ±y, z = 4 - y².

y is between -2 and 2. In this case, f(y,z) = 2y² - y⁴ and the maximum value is 2.

When dividing by a variable, one should always keep in mind that the variable cannot be equal to zero. In other words, if the value of the variable is zero, the function or expression will not be defined or will give an undefined result. The reason is that division by zero is not defined in the set of real numbers.

Therefore, one should exclude the value of zero from the domain of the function or expression.

In part (a) of the given question, we are asked to find the global maximum and minimum of A(x,y,z) = 12 + 3x + y² - 2y subject to the constraint x + y + z = 2.

Let's find the partial derivatives of A with respect to x, y, and z.

∂A/∂x = 3

∂A/∂y = 2y - 2 = 2(y - 1)

∂A/∂z = 0

Now, we have to solve the system of equations consisting of the partial derivatives and the constraint equation.

\(3 = \lambda_1 + \lambda_2,\\2y - 2 = \lambda_1 + \lambda_2,\\\lambda_1x + \lambda_2x = 0,\\\lambda_1y + \lambda_2y - 1 = 0,\\\lambda_1z + \lambda_2z = 1.\)

Substituting the values of the partial derivatives, we get:

\(\lambda_1 + \lambda_2 = 3,\\\lambda_1 + \lambda_2 = -2,\\\lambda_1(3) + \lambda_2(0) = 0,\\\lambda_1(y - 1) + \lambda_2(y - 1) = 0,\\\lambda_1(0) + \lambda_2(1) = 1.\)

The second and third equations are contradictory. So, under the given constraint, A has no extreme value.

In part (b), we are asked to find the global maximum and minimum of A(x,y,z) = x² + y² on the closed bounded domain x² + y + z² ≤ 16.

Let's use the method of Lagrange multipliers to solve the problem. We have to find the critical points of the function f(x,y,z) = x² + y² subject to the constraint x² + y + z² = 16.

We have to solve the system of equations consisting of the partial derivatives of f, the partial derivatives of the constraint function, and the equation of the constraint function.

2x = λ(2x),

2y = λ(1),

2z = λ(2z).

Substituting the value of λ from the second equation into the first equation, we get: x = 0 or x = ±y.

Substituting the values of x and λ from the first and second equations into the third equation, we get:

z = 4 - y² or z = 0.

Since the constraint is x² + y + z² ≤ 16, we have to consider the following cases:

Case 1: x = 0, y + z² ≤ 16.

So, y is between -4 and 4. The maximum value of f(y,z)=y² is 16 in this case.

Case 2: x = ±y, z = 4 - y².

So, y is between -2 and 2. The maximum value of f(y,z) = 2y² - y⁴ is 2 in this case.

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If the series is A B C D then the next one is E

We can prove that the product of three consecutive positive integers is divisible by 6 using mathematical induction, without assuming that one of the integers must be divisible by 3.

Base case: Let the first positive integer be 1. Then the product of the three consecutive positive integers is 1 x 2 x 3 = 6, which is divisible by 6.

Inductive step: Assume that the product of three consecutive positive integers, n(n+1)(n+2), is divisible by 6 for some positive integer n.

We need to prove that the product of the next three consecutive positive integers, (n+1)(n+2)(n+3), is also divisible by 6.

Expanding the product, we get:

(n+1)(n+2)(n+3) = (n(n+1)(n+2)) + 3(n+1)(n+2)

By the inductive hypothesis, n(n+1)(n+2) is divisible by 6. Since 3(n+1)(n+2) is the product of two consecutive integers, it is divisible by 2. Thus, the sum of the two terms is divisible by 6 + 2 = 8.

Since 6 and 8 are relatively prime, their least common multiple is 24. Therefore, the sum of the two terms is divisible by 24. Thus, (n+1)(n+2)(n+3) is divisible by 24, which means it is also divisible by 6.

By the principle of mathematical induction, the statement is true for all positive integers.

Therefore, we have shown that the product of three consecutive positive integers is always divisible by 6, even if we do not assume that one of the integers must be divisible by 3.

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Answer:

7.2

Step-by-step explanation:

i saw on google...

Answer:

7.2 if needed round 7.20

Step-by-step explanation:

60 x 12%

7.2

Answer:

20v2−40v+20

Step-by-step explanation:

=(4v+−4)(5v+−5)

=(4v)(5v)+(4v)(−5)+(−4)(5v)+(−4)(−5)

=20v^2−20v−20v+20

= 20v^2-40v+20

You can easily do this by using the FOIL method.

F - first -  in this case, 4v and 5v

O - Outside - in this case, 4v and -5

I - Inside - in this case, -4 and 5v

L - Last - In this case, -4 and -5

Then you find the like terms and add them together and then you have your answer which is also in standard form.

Answer:

-6y+2

Step-by-step explanation:

Trust

Cartesian equation is\(4y^2 = x\ or\ y^2 = x/4\)We know that the polar equation of the form \(r = f(\Theta)\)can be obtained by converting the Cartesian equation x = g(y) into polar coordinates.

To convert the equation, \(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

We know that \(x = r\ cos\ \Theta\) and \(y = r\ sin\ \Theta\), where r is the radial distance and θ is the polar angle.

So, the Cartesian equation can be expressed as follows:\(4(r\ sin\ \theta)^2 = r\ sin\ \theta\⇒\\\ 4r^2 sin^2 \theta = r\ cos\ \theta\⇒ \\r = 4\ cos\ \theta sin^2 \theta\)

Therefore, the polar equation for the curve represented by the given Cartesian equation is \(r = 4\ cos\ \theta\ sin^2\ \theta\).The polar equation for the curve represented by the given Cartesian equation \(x = 4y^2\ is\ r = 4\ cos\ \theta\ sin\ \theta\).

To convert the given Cartesian equation\(r = 4 \cos\ \theta \sin^2 \theta\)\(x = 4y^2\) into polar coordinates, we need to replace x and y with their respective polar coordinates.

Using the equation \(x = r\ cos\ \theta\)and \(y = r\ sin\ \theta\), we get \(4(r\ sin\ \theta)^2 = r\ cos\ \theta\), which simplifies to \(r = 4\ cos\ \theta \sin^2 \theta\).

Hence, the polar equation for the curve represented by the given Cartesian equation is r = 4 cos θ sin² θ.

Therefore, the polar equation for the given Cartesian equation \(x = 4y^2\)is \(r = 4\ cos \ \theta\ sin^2 \theta\).

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The probability of being dealt a 3, 4, 5, 6, 7, all in the same suit is approximately 0.0000031.

To calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit, we can use the following formula:

P = (number of favorable outcomes) / (total number of possible outcomes)

the order in which the cards are chosen does not matter, so we need to divide by the number of ways we can arrange 5 cards, which is 5! (5 factorial).

Therefore, the total number of possible outcomes is (52 * 51 * 50 * 49 * 48) / (5 * 4 * 3 * 2 * 1), which simplifies to 2,598,960.

Finally, we can calculate the probability of being dealt a 3, 4, 5, 6, 7, all in the same suit:

P = 8 / 2,598,960

P = 0.00000308 (rounded to seven decimal places)

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An example of a problem involving time and percentage is: If I study 30% of the day, how many hours do I spend studying each day? The time I use to study is 7.2 hours each day.

To establish a mathematical problem we must take into account different aspects, one of them is the variables that we are going to use, in this case we must use:

According to the above, we can question ourselves about the percentage of time we use for some activity during a day, for example:

To know the hours we spend studying we must perform the following operations:

According to the above, we study 7.2 hours per day.

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The subsolar point falls on the equator on two specific days of the year, which are the vernal equinox and the autumnal equinox.

The vernal equinox, also known as the March equinox or the spring equinox, occurs on or around March 20th. The autumnal equinox, also known as the September equinox or the fall equinox, occurs on or around September 22nd. On these two days, the subsolar point is directly over the equator, resulting in nearly equal amounts of daylight and darkness at all latitudes.
In summary, the subsolar point falls on the equator on the vernal equinox (March 20th) and the autumnal equinox (September 22nd).

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Answer:

1. 15.708

2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.

The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!

Step-by-step explanation: