locate the absolute extrema of the function
on the closed interval

Answer:

60 and -60

Hope this helps! :)

The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

8

Step-by-step explanation:

Because its a 2,2

Answer:

Step-by-step explanation:

Let width = w

Length = w - 7

Perimeter = 2*(length + width)

2*(w-7 + w) = 50

2* (2w - 7) = 50

2*2w - 7*2 = 50

4w - 14 = 50

Add 14 to both the sides

4w = 50+ 14

4w = 64

Divide the entire equation by  4

w = 64/4

w = 16 units

Length = 16 - 7 = 9 units

Answer:

5 feet

Step-by-step explanation:

Hello!

We can use the Pythagorean theorem to solve this.

Formula: a² + b² = c²

Solve:

The diagonal is 5 feet.

Answer:

B) 5 ft

Step-by-step explanation:

It have get \(24\) customer of them to sign up for the new service feature.

Given:

  Sign up percentage is \(25\) %.

    \(96\) customer.

To find the solution by,

Multiply customer and sign up

   \(=96*25\)%

   \(=96*\frac{25}{100} \\\\=2400/100\\\\=24\)

Thus, it have get \(24\) customer of them to sign up for the new service feature.

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The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

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The coordinates of the point B are given as (2, - 4)

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

Under a reflection in the y- axis

A point (x, y) → (- x, y), hence

A(- 2, - 4) → B(2, - 4)

Therefore the coordinates of the point B are given as (2, - 4)

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Mr. Marshal spent 1/4 of his salary on miscellaneous expenses and $1,680 on rental; therefore, he spent 1/36 of his entire salary on the trip.

To find the fraction of money spent on miscellaneous, we need to calculate the sum of the fractions spent on rental, food, and bank and subtract it from 1.

Rental: 1/5

Food: 1/10

Bank: 1/4

To find the fraction spent on miscellaneous:

Fraction spent on miscellaneous = 1 - (Rental + Food + Bank)

Rental + Food + Bank = 1/5 + 1/10 + 1/4 = (8 + 4 + 5)/40 = 17/40

Fraction spent on miscellaneous = 1 - 17/40 = 23/40

So, Mr. Marshal spent 23/40 of his salary on miscellaneous.

To find the amount spent on rental, we multiply the fraction spent on rental by his salary:

Amount spent on rental = (1/5) \(\times\) $8,400 = $1,680

Therefore, Mr. Marshal spent $1,680 on rental.

If Mr. Marshal spent 4/9 of the miscellaneous amount on a trip, we need to calculate the fraction of his entire salary spent on the trip.

Fraction spent on the trip = (4/9) \(\times\) (23/40) = 92/360 = 23/90

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Answer:

( 4 x 10 y )

Step-by-step explanation:

P(same number on both) = 10/60 = 1/6 and P(odd, even) or P(even, odd)  = 1/4

There are 10 possible outcomes on the 10-sided die and 6 possible outcomes on the 6-sided die

The total number of possible outcomes is 10 x 6 = 60.  

To get the same number on both, we need to get one of the 10 numbers on the first toss and then get the same number on the second toss. There are 10 ways to do this. Therefore, the probability of getting the same number on both is:

P(same number on both) = 10/60 = 1/6

b. To get an odd and an even number, we need to get an odd number on the first toss and an even number on the second toss, or vice versa.

There are 5 odd numbers and 5 even numbers on the 10-sided solid, and 3 even numbers and 3 odd numbers on the 6-sided solid.

Therefore, the probability of getting an odd and an even number, or an even and an odd number, is:

P(odd, even) or P(even, odd) = (5/10) x (3/6) + (5/10) x (3/6) = 1/4

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Answer:

Divisible by 2 and 4

Step-by-step explanation:

376 ÷ 2 = 188

376 ÷ 3 = 125.33 (3s repeating)

376 ÷ 4 = 94

376 ÷ 5 = 75.2 (Decimal)

376 ÷ 6 = 62.67 (6s repeating)

376 ÷ 9 = 41.78 (7s repeating)

Answer:

it'd be 95

Step-by-step explanation:

that's the nearest 10th

Step-by-step explanation:

1) x - 5 = - 2

x = - 2 + 5

x = 3

2) - 6 + x = - 9

x = - 9 + 6

x = - 3.

3) x/4 = 6/8

Cross multiply

8x = 24

x = 24/8 = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5 = 3

6) x/3 = 9

x / 3 - 9

x - 3

x = 3

The solution is shown below:

A  statement of equality between two expressions consisting of variables and/or numbers

x=3                                                             x≠3

1) x - 5 = - 2                                             2) - 6 + x = - 9

x = - 2 + 5                                                       x = - 9 + 6

x = 3                                                                x = - 3.

3) x/4 = 6/8                                                6) x/3 = 9  

x = 24                                                               x = 27

x = 24/8

x = 3

4) - 14x = - 42

x = - 42/-14

x = 3

5) - 3/5 + x = 12/5

x = 12/5 + 3/5

x = 15/5

x = 3

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Answer:

16 flowerpots

Step-by-step explanation:

12 divided by 3/4=16

Answer:

What is the value of x in the product of powers below?

6 Superscript 9 times 6 Superscript x = 6 squared

Negative 11

negative 7

7

11

Step-by-step explanation:

Answer:

  (c)  $95,400

Step-by-step explanation:

You want the listing price of your house such that you can clear $92,500 after paying a 3% commission to the buyer's realtor.

The buyer's agent will receive 3% of the sale price (P), so you receive that amount less. You want your share to be $92,500.

  (1 -3%)P = 92,500

Dividing by the coefficient of P, we get ...

  P = 92,500/0.97 ≈ 95,361

We are asked to round this value to the nearest $100. That makes the listing price ...

  $95,400 . . . . listing price

__

Additional comment

You can estimate the listing price by adding 3% of 92500 to that value, and you can estimate the added amount as 3%×90,000 = 2700. That is, you know the listing price needs to be slightly higher than ...

  92500 +2700 = 95,200

Only one of the answer choices is above that value and rounded to the nearest $100. (You can eliminate the first two choices, because they are not properly rounded.)

The correct statement regarding the angle measures is given as follows:

m < 1 + m < 4 > m < 3.

The given angle measure is as follows:

m < 3 = 119º.

Angles 3 and 4 form a linear pair, meaning that they are supplementary, that is, the sum of their measures is of 180º.

Hence the measure of angle 4 is given as follows:

m < 4 + m < 3 = 180º.

m < 4 = 180º - 119º

m < 4 = 61º.

Angles 1 and 4 are opposite by the same vertex, hence they are congruent, thus the measure of angle 1 is given as follows:

m < 1 = m < 4

m < 1 = 61º.

Hence:

m < 1 + m < 4 = 2 x 61

m < 1 + m < 4 = 122º

122º > 119º

m < 1 + m < 4 > m < 3.

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3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:

3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup

Since there are 1 cup in each term, we can rewrite it as:

3 cups + (1/2) cup

Now, we can express each term as a multiplication expression:

3 cups = 3 * 1 cup = 3

(1/2) cup = (1/2) * 1 cup = 1/2

Putting it all together, the multiplication expression is:

3 * 1 cup + (1/2) * 1 cup = 3 + 1/2

Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.

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Answer:

10,000 + 7,000 + 500 + 70 +4

Step-by-step explanation:

The interval between neighboring x value is 1

the ratio between neighboring y-values 1

To find interval between neighboring x value, we subtract as follows

interval = 2 - 1 = 3 - 2 = 4 - 3 = 5 - 4 = 1

To find the ratio between neighboring y-values, we divide

ratio = 4 / 1 = 16/4 = 256 / 16 = 1024 / 256 = 4

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complete question

The table below represents an exponential function.

x

1

2

3

4

5

y

1

4

16

256

1,024

What is the interval between neighboring

X-values shown in the table?

What is the ratio between neighboring y-values?

Answer:

-8/7 is your simplified answer :)

Step-by-step explanation:

Have a nice day <3

Answer:

13

Step-by-step explanation:

w = -8 -5 =-13=13

Answer:

Already rounded to the nearest tenth

Step-by-step explanation:

Answer: It's already rounded to the nearest tenth. Your good to go.

Step-by-step explanation:

The three transformations—rotations, reflections, and translations—can be combined to produce congruent shapes. The truth is that any pair of congruent shapes can be matched to one another by combining one or more of these three transformations.

Explain transformations.

A point, line, or geometric figure has four different transformations that can be applied to alter its appearance. While the term "Image" refers to the position and final shape of the object, "Pre-Image" refers to the object's shape before transformation.

Given Information

The size and shape of the figures are preserved during stiff transformations, as we already know (reflections, translations, and rotations). Always in harmony with one another is the pre-image.

These transformational skills are all possessed by Matt:

Reflection

The reason a reflection maintains its original form Comparable locations between the pre-image and the picture remain apart from the line of reflection.

Rotations as a Transformation of Congruence

When a figure rotates, it twists. Despite being the same size and shape, the figurine appears to have toppled over. A clock is an excellent example of how the globe rotates in reality. Every hour or every day, the connecting arms of a clock revolve around its axis. The degree of a rotation determines what kind of rotation it is; popular rotations include 90, 180, and 270 degrees. Before spinning around completely and going back to where it started, the figure rotates 360 degrees. the clockwise or counterclockwise direction in which a rotation is made. This data can be used to determine the degree, amount, a revolution's speed and direction.

Congruence translational transformation

When an object or shape is transferred from one location to another without altering its size, shape, or orientation, we refer to the transfer as a movement. A translation, often known as a slide, involves moving every point on an object or shape uniformly and in one direction.

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Answer:

input +12 = output

Step-by-step explanation:

3 .    15

5 .    17

12 .   24

40 .   52

63 .    75

Answer:

B

Step-by-step explanation:

a prime polynomial is one which does not factor into 2 binomials.

its only factors are 1 and itself

attempt to factorise the given polynomials

3x³ + 3x² - 2x - 2 ( factor the first/second and third/fourth terms )

= 3x²(x + 1) - 2(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(3x² - 2) ← in factored form

--------------------------------------------------

3x³ - 2x² + 3x - 4 ( factor the first/second terms

= x²(3x - 2) + 3x - 4 ← 3x - 4 cannot be factored

thus this polynomial is prime

----------------------------------------------------

4x³ + 2x² + 6x + 3 ( factor first/second and third/fourth terms )

= 2x²(2x + 1) + 3(2x + 1) ← factor out common factor (2x + 1) from each term

= (2x + 1)(2x² + 3) ← in factored form

-------------------------------------------------

4x³ + 4x² - 3x - 3 ( factor first/second and third/fourth terms )

= 4x²(x + 1) - 3(x + 1) ← factor out common factor (x + 1) from each term

= (x + 1)(4x² - 3) ← in factored form

--------------------------------------------------

the only polynomial which does not factorise is

3x³ - 2x² + 3x - 4

Answer: (D) asymptotically stable and semi-stable

Step-by-step explanation:

Given that:

dy/dx=(−(y−4)2)(y+9)

The critical points are y=4 and y=−9

We have to check the sign of dy/dx in the intervals (-inf,-9), (-9,4), (4, infinity)

In (-inf, -9), dy/dx , let's take y = -10, so we have  

(-(-10-4)^2(-10+9) > 0

In (-9,4), let's take y = 0

dy/dx = (-(0-4)^2)(0+9) < 0  

In (4, inf), let's take y = 10

So we have (-(10-4^)2(10+9) < 0

So at y = -9, sign change for dy/dx from positive to negative. SO it is asymptotically stable

And at y = 4, sign is negative on both sides. So 4 is semi stable

The equation of the perpendicular line is y = -1/3x

From the question, we have the following parameters that can be used in our computation:

y = 3x + 2

The equation of a line can be represented as

y = mx + c

Where

Slope = m

By comparing the equations, we have the following

m = 3

This means that the slope is 2

The slopes of perpendicular lines are opposite reciprocals

This means that the slope of the other line is -1/3

The equation of the line is then calculated as

y = mx

Where

m = -1/3

So, we have

y = -1/3x

Hence, the line has an equation of y = -1/3x

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