Write a formula for the function g(x) obtained when the graph of f(x)=√x is shifted up 1 unit and to the left 6 units.
g(x).

Answer:

Roughly 10.30

Step-by-step explanation:

Use Pythagorean theorem:
[tex]c^2 = a^2 + b^2[/tex]

Where [tex]c[/tex] is your hypotenuse

So:

[tex]c^2 = (9)^2 + (5)^2[/tex]

[tex]c= \sqrt{106}[/tex]

[tex]c[/tex] ≈ [tex]10.30[/tex]

Answer:10.3

Step-by-step explanation:

The total number of cards sold for Mother's Day is 290 cards.

What is the proportions?

Proportion is a mathematical concept that expresses the equality of two ratios. Two ratios are said to be proportional if they have the same relative size or relationship.

Let x be the total number of cards sold for Mother's Day. We know that one salesman sold 29 cards, which is 10% of the total number of cards sold. Using this information, we can set up the following proportion:

(10/100) * x = 29

Simplifying, we get:

x = 290

Hence, the total number of cards sold for Mother's Day is 290 cards.

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None of the statements (1) to (6) are true about the equation [tex]x^2-6x+2=0[/tex].

Definitions: x ax2 + bx + c = 0 is a quadratic equation, which is a 2nd polynomial formula in a variable. a 0. It has at least 1 solution since it is a 2nd polynomial equation, which is guaranteed by the algebraic theorem. The solution might be simple or difficult.

None of the statements (1) to (6) are true about the equation. [tex]x^2-6x+2=0[/tex].

Reason why:

(1) The coefficient of the [tex]x^2[/tex] term is positive, so the graph of the quadratic equation is a parabola that opens upward. Therefore, it does not have a minimum value, but instead has a minimum point.

(2) The coordinates of the minimum point can be found using the formula x = -b/2a, which gives x = 6/2 = 3. Substituting x = 3 into the equation gives y = 2, so the minimum point is (3, 2).

(3) The point (7,-3) is not on the graph of the equation.

(4) The solutions to the equation are given by the quadratic formula x = [tex][6\± \sqrt{(6^2 - 4(1)(2))]}/2 = [6\± \sqrt{(28)]}/2 = 3\± \sqrt{7}[/tex]. So, statement (4) is partially correct, but the value of -3 is incorrect.

(5) Statement (5) is correct, as the solutions to the equation are x = [tex]3\±\sqrt7}[/tex].

(6) The graph of the quadratic equation has a minimum value, not a maximum value.

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Complete question is: Which of the following statements are true about the equation below?

x^2-6x+2=0

( 1 ) The graph of the quadratic equation has a minimum value.

( 2 ) The extreme value is at the point (3,-7).

( 3 ) The extreme value is at the point (7,-3).

( 4 ) The solutions are x = -3 + or - the square root of 7 .

( 5 ) The solutions arex = 3 + or - the square root of 7.

( 6 ) The graph of the quadratic equation has a maximum value.

Answer:

Radius = 8.5 cm (one decimal place)

Step-by-step explanation:

Answer:15cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the cost of each book bag. Then, we can set up the following equation based on the information given:

4x + 4.99 = 95.65

Here, 4x represents the cost of the four identical book bags, and 4.99 is the flat rate for shipping. We add them up to get the total cost of $95.65.

To solve for x, we can first subtract 4.99 from both sides of the equation to isolate the term 4x on the left-hand side:

4x = 90.66

Then, we can divide both sides of the equation by 4 to solve for x:

x = 22.67

Therefore, each book bag costs $22.67.

The total surface area of the building block is therefore (4×l×w) + (2×(b×h)/2), which is equal to (2×l×w) + bh.

Surface area is the total exposed area of a three-dimensional object, including the object's base area and lateral area. It is the area of the surface or outer boundary of an object and is measured in units squared such as square meters or square centimeters. Surface area is an important concept in mathematics, physics, and engineering, as it is used to calculate the amount of material needed to construct an object.

The total surface area of the building block can be found by adding the area of the six faces of the block together. To calculate the surface area of the block, we first need to find the area of each face. The six faces of the building block are four rectangular faces and two triangular faces. The area of each rectangular face can be found using the formula A=l×w, where l is the length and w is the width. The area of each triangular face can be found using the formula A=(b×h)/2, where b is the base and h is the height.

By adding the area of each face together, the total surface area of the building block can be found. The total surface area is equal to the sum of the four rectangular faces plus the two triangular faces. The total surface area of the building block is therefore (4×l×w) + (2×(b×h)/2), which is equal to (2×l×w) + bh.

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Keisha rated 92% of the movies she watched as very good.

To find the percentage of movies that Keisha rated as very good, we can use the formula:

Percentage = (Number of movies rated as very good / Total number of movies watched) x 100%

Plugging in the values we have:

Percentage = (46 / 50) x 100%

Percentage = 92%

Therefore, Keisha rated 92% of the movies she watched as very good.

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The length of the hypotenuse is approximately 6.7.

What is the Pythagorean theorem and how is it used to find the hypotenuse of a right triangle?

The Pythagorean theorem is a fundamental relationship in Euclidean geometry that relates the lengths of the sides of a right triangle. It states that the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

Mathematically, the Pythagorean theorem can be expressed as:

[tex]c^2 = a^2+ b^2[/tex]

where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.

Finding the missing length :

In the given problem, we are given the lengths of two sides of a right triangle, which are 3 and 6. We can use these values to find the length of the hypotenuse using the Pythagorean theorem:

[tex]h^2 = 3^2+ 6^2[/tex]

[tex]h^2 = 9 + 36[/tex]

[tex]h^2 = 45[/tex]

Taking the square root of both sides gives:

[tex]h = \sqrt{45}[/tex]

Using a calculator, we can simplify this to:

[tex]h \approx 6.7[/tex] (rounded to the nearest tenth)

Therefore, the value of the hypotenuse of the right triangle with sides 3 and 6 is approximately 6.7.

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Answer:its a

Step-by-step explanation:you did it wrong

Answer:

Substituting the given values of y in the inequality y > 23:

When y = 20, 20 is not greater than 23, so it's not a solution.

When y = 23, 23 is not greater than 23, so it's not a solution (it's equal).

When y = 25.1, 25.1 is greater than 23, so it's a solution.

When y = 35, 35 is greater than 23, so it's also a solution.

Therefore, the solutions of the inequality are y = 25.1 and y = 35.

The analysis of the distances and angles viewed by Felix are presented as follows;

2. The angle formed is a right angle

3. Please find the drawing of the scenario created with MS Word

4. The distance obtained using Pythagorean Theorem is about 438.53 miles

5. The distance the person travels is about 437.86 miles

6. The central angle Felix is viewing from his altitude is about 6.34°

The Pythagorean Theorem states that the square of the hypotenuse side of a right triangle is equivalent to the sum of the squares of the legs of the right triangle.

2. The angle formed by a tangent to a spherical surface, such as the Earth's approximately spherical surface and the radius of the sphere is a right angle.

Therefore;

3. The possible elevation of Felix above the Earth's surface, obtained from a similar question is; 24.214 miles

Therefore;

The legs of the right triangle are the radius of the Earth and the distance from Felix's to the point on the horizon.

The hypotenuse sum of Felix's altitude and the radius of the Earth

Please find attached the drawing of the scenario created with MS Word

4. Pythagorean Theorem indicates that the distance from Felix to the image on the horizon, d, can be obtained as follows;

d = √((3,959 + 24.214)² - 3,959²) ≈ 438.53

The distance from Felix to the image on the horizon is about 438.53 miles

5. The distance the person has to travel can be found as follows;

The surface of the Earth is assumed to be flat

The distance to the horizon from Felix is about 438.53 miles

The distance, l, the person on the ground has to travel is therefore;

l = √(438.53² - 24.214²) ≈ 437.86

6. The central angle, θ, of the Earth that Felix is viewing, with an arc length of 437.86 miles can be found using the formula for finding the arc length of a sector of a circle as follows;

θ/360 × 2 × π × 3,959 ≈ 437.86

θ ≈ 437.86 × 360/(3,959 × 2 × π) ≈ 6.34°

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Answer:

7 minutes

Step-by-step explanation:

It is 7 minutes because the bank it the top straight line and it elapses for 7 minutes

The required equation of the trigonometric graph is y = 2cos[(π/8)(x-2)-2] which represents the cosine function.

The cosine function has a range of values between -1 and 1, and it is a periodic function that repeats every 2π radians or 360 degrees.

The graph of the cosine function is a wave-like curve that oscillates between -1 and 1, with a period of 2π radians or 360 degrees.

As we can see, the function's behavior repeats itself. In terms of the form of the function, we may select any interval of length 2π and the following interval of length 2π will be equal to the previous one.

Here, y = 2cos[(π/8)(x-2)-2]

Thus, the equation of the trigonometric graph is y = 2cos[(π/8)(x-2)-2] which represents the cosine function.

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Answer:

Step-by-step explanation: It is a function. Because one input goes to exact one output.

"China has the highest steel output of all producers shown as of 2009, with 50 tonnes produced per US million ($) GDP." is correct statement .

A graph, which typically takes the shape of a diagram outlining the connection between various variables, is a visual representation of data in mathematics. Graphs can be used to depict a variety of mathematical functions, such as linear, quadratic, or incremental functions, as well as to display statistical data, including such bar graphs, graph, and pie charts. In order to clearly and concisely illustrate and evaluate data, graphs are frequently used in a variety of disciplines, including mathematics, science, engineering, economics, and social sciences.

given

The statement that best describes the facts is:

"China has the highest steel output of all producers shown as of 2009, with 50 tonnes produced per US million ($) GDP."

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One example of a quantity in the life sciences that is modeled by a function of time is the population size of a species.

This can be modeled using a differential equation, where the rate of change of the population size is proportional to the current population size.

If we knew the values of the derivative of this function (i.e., the first derivative), we would be able to make inferences about the growth or decline of the population.

A positive derivative value would indicate that the population is growing, while a negative derivative value would indicate that the population is declining. The magnitude of the derivative would also give us information about the rate of growth or decline of the population. If the derivative is large, the population is changing quickly, while a small derivative indicates slower change.

If we had information about the second derivative of the function (i.e., the rate of change of the derivative), we would be able to make further inferences about the behavior of the population.

A positive second derivative value would indicate that the population is accelerating in its growth, while a negative second derivative value would indicate that the population is decelerating in its growth. This information could be useful in predicting future trends in population size and in making decisions about conservation efforts or resource management.

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Answer:

36 divided by 6 = 6

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.003125

Answer:0.003125

When dividing by a bigger number to turn it to a decimals with 0s because it will always help and also use the simple way of division writing it down ex. 3.1 I 992 and put it in as many times as possible

So, by resolving the given, we obtain the result: The probability value for probability this ranges from 0 to 1 inclusive.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.

It is necessary to divide the number of desired outcomes by the total number of potential outcomes in order to describe the specified degree of possibility as a probability value between 0 and 1 inclusive.

When the likelihood of a thunderstorm is expressed as "4 in 19," it suggests that out of the 19 potential outcomes, 4 of them (a thunderstorm) are desirable (weather conditions).

Hence, the likelihood of a thunderstorm is represented as:

4/19

The probability value for this ranges from 0 to 1 inclusive.

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The true proportion of all adults in the United States who exercise on a regular basis is between 0.384 and 0.493 with 90% confidence interval.

To construct a confidence interval for the proportion of all adults in the United States who exercise on a regular basis, we can use the formula:

CI = p ± z√(p(1-p)/n)

where:

p = proportion of the sample who exercise on a regular basis

n = sample size

z = z-score from the standard normal distribution corresponding to the desired level of confidence

Here, p = 82/187 = 0.4385 and n = 187.

A standard normal distribution table or calculator, or use the following formula:

z = invNorm((1 + C)/2)

where:

C = confidence level (expressed as a decimal)

invNorm() = inverse normal distribution function

For a 90% confidence level, C = 0.90, so:

z = invNorm((1 + 0.90)/2) = invNorm(0.95) ≈ 1.645

Substituting in the values, we get:

CI = 0.4385 ± 1.645√(0.4385(1-0.4385)/187) ≈ 0.384, 0.493

Therefore, we can say with 90% confidence that the true proportion of all adults in the United States who exercise on a regular basis is between 0.384 and 0.493, rounded to three decimal places.

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There are 5 methods to determine which player has less pieces, 5! ways probability to arrange the Xs, and 4! ways to order the Os, for a total of 5 x 5 x 4! = 28,800 possible games.

Calculating the chance that an event will occur or a statement will be true is the subject of probability theory, a branch of mathematics. A risk is a number between 0 and 1, where 1 denotes certainty and a probability of about 0 denotes the likelihood that an event will occur. The likelihood that an event will take place is mathematically expressed as probability. Probabilities can also be expressed as percentages ranging from 0% to 100% or as integers between 0 and 1. the proportion of equally plausible possibilities that actually happen in relation to all possible outcomes when a certain event occurs.

Case 1: There are 5 Xs and 4 Os on the board, and there is a one-point difference in the number of Xs and Os. In this situation, starting with the player who has less pieces on the board, we must alternately put the Xs and Os in the squares. There are 5 methods to determine which player has less pieces, 5! ways to arrange the Xs, and 4! ways to order the Os, for a total of 5 x 5 x 4! = 28,800 possible games.

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Answer:

Number 2 and number 1

Step-by-step explanation:

youre all good

Marginal cost refers to the additional cost of producing one more unit of a product or service.

Marginal cost is the cost of producing one additional unit of a good or service.

In math, marginal cost refers to the additional cost of producing one more unit of a product or service. It is calculated by taking the change in total cost divided by the change in quantity produced.

Marginal cost is an important concept in economics and is used to determine the optimal level of production to maximize profits.

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Answer: Cylinders and Cones don't have a vertex or vertices.

Step-by-step explanation: I had the same question and got it right.

Have a good day! <3

The probability of both independent events A and B happening together is P(A n B) = 0.1.

What is meant by probability?

An event's probability is a numerical representation of how likely it is that the event will take place. In mathematical notation, it is written as a number between 0 and 1, or as a percentage between 0% and 100%. The higher an event's probability, the more likely it is to occur. In a sample space, there is a probability of 1 for each event. The probability formula states that the ratio between the number of favourable outcomes and the total number of outcomes determines the likelihood that an event will occur. Sets are used in the terminology of probability theory. A set is a grouping of various things.

Given,

Probability of A, P(A) = 0.2

Probability of B, P(B) = 0.4

P(A U B) = 0.5

We are asked to find  P(A n B)

Now we know,

P(A U B) = P(A) + P(B) -  P(A n B)

Then,

P(A n B) = P(A) + P(B) - P(A U B)  = 0.2 + 0.4 - 0.5 = 0.1

Therefore the probability of both independent events A and B happening together is P(A n B) = 0.1.

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The normal distribution is N(151, 7), the z-score for verbal and quantitative reasoning are 1.29 and 0.52 respectively.

(a) The shorthand for the normal distribution of the Verbal Reasoning section is N(151, 7), where 151 is the mean score and 7 is the standard deviation. The shorthand for the normal distribution of the Quantitative Reasoning section is N(153, 7.67), where 153 is the mean score and 7.67 is the standard deviation.

(b) Sophia’s Z-score on the Verbal Reasoning section is (160-151)/7 = 1.29. Her Z-score on the Quantitative Reasoning section is (157-153)/7.67 = 0.52.

(c) The Z-scores represent how many standard deviations above or below the mean Sophia’s scores are. A Z-score of 1.29 on the Verbal Reasoning section means Sophia’s score is 1.29 standard deviations above the mean score of all test takers. A Z-score of 0.52 on the Quantitative Reasoning section means Sophia’s score is 0.52 standard deviations above the mean score of all test takers.

(d) Sophia did better on the Verbal Reasoning section because her Z-score is higher for that section.

(e) To find the percentile scores, we use the standard normal distribution table. Sophia’s percentile score on the Verbal Reasoning section is the percentage of test takers who scored lower than her. Using the Z-score of 1.29 and the table, we find that her percentile score is approximately 90.7%. Her percentile score on the Quantitative Reasoning section is the percentage of test takers who scored lower than her. Using the Z-score of 0.52 and the table, we find that her percentile score is approximately 69.4%.

(f) To find the percentage of test takers who did better than Sophia on each section, we can use the standard normal distribution table again. For the Verbal Reasoning section, we need to find the area to the right of Sophia’s Z-score of 1.29. Using the table, we find that this area is approximately 9.3%. Therefore, approximately 9.3% of test takers did better than Sophia on the Verbal Reasoning section. For the Quantitative Reasoning section, we need to find the area to the right of Sophia’s Z-score of 0.52. Using the table, we find that this area is approximately 30.4%. Therefore, approximately 30.4% of test takers did better than Sophia on the Quantitative Reasoning section.

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Answer:84%

Step-by-step explanation:because of the process of elimanation

The response to the given question would be that As a result, we have demonstrated that ABCD's opposing sides are parallel, proving that ABCD is a parallelogram.

A simple quadrilateral with two sets of parallel sides is known as a parallelogram in Euclidean geometry. Both sets of opposite sides are parallel and equal in a particular type of quadrilateral known as a parallelogram.

We must demonstrate that the opposing sides of ABCD's parallelogram are parallel.

CBA = DAB (Alternate interior angles)

Alternative interior angles (ABD = BAC; ADC = CBD) (Alternate interior angles)

DCA = ACD (Alternate interior angles)

Considering that AD = BC, we also have:

A + B Equals A + C. (Also on both sides)

AD = BC

Think about the two pairs of sides that are diagonally opposed: AB and CD and AD and BC.

We have these for AB and CD:

Interior angles of a quadrilateral: DAB + ABD + BCD + CDA = 180°; CBA + BAC + ADC + DCA = 180°. (Substituting corresponding angles)

We may insert them in and simplify to get: since DAB = CBA and ABD = BAC.

BCD = ADC

As a result of having the same transversal CD and equal alternative interior angles, AD and BC are also parallel. As a result, we have demonstrated that ABCD's opposing sides are parallel, proving that ABCD is a parallelogram.

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Answer: 48

Step-by-step explanation: 9p p=4 9*4=36 +18 = 48

These figures have curved surfaces, not flat faces. A cylinder is similar to a prism, but its two bases are circles, not polygons. Also, the sides of a cylinder are curved, not flat. A cone has one circular base and a vertex that is not on the base.

When a cone and cylinder have the same height and radius the cone will fit inside the cylinder. The volume of the cone will be one-third that of the cylinder. If the radius or height are different, then there is no relationship between them.