For the function (x) e detined on the novel (0, 3), find all intervals where the function in strictly increasing or subtly decreasing You intervals should be as largos possible is strictly increasing on 4,5 is strictly decreasing on (int) Give your answer as an interval or a list of intervals, e.g. (-Infinity:8) or (1,51,7,10)) Find and classify all local max's and min's. (For the purposes of this exercise we'l call on endpoint ca "local maxif() f(a) whenever a la nare on the left or on the right. Similarly, we'l call it a local minte) s f(+) whenever I is near con the left or right) (4 min 1 Enter your madma and minima as comma-separated value classification pairs. For example, if you found that was a local minimum and 3 was a local maximum, you should enter (-2.min), 3.max). If there were no maximum, you must drop the parentheses and enter-2 min.

Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

The following can be considered as a random variable

c)The sequence of head and tail we observe

The number of heads we got over 10 tosses is not considered to be a random variable as it is a measurable function that can be calculated from the probability set of the observations taken over the 10 tosses.

The index of the first time we have the head is also not considered to be a random variable as the probability of the number of tails observed before the generation of a heads is a measurable function from the probability measure space.

The sequence of Head and tail we observe can be considered as a random variable as the observations entirely depends on the specific experiment being conducted and may or may not form a repeatable sequence and would thus contain random variable in each probability set.

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Answer:

18

Step-by-step explanation:

Let Ed's age = x

Pam's age = 2x - 10

The sum of the ages is 32.

x + 2x - 10 = 32

3x = 42

x = 14

Ed is 14.

Pam is 2x - 10

2x - 10 = 2(14) - 10 = 28 - 10 = 18

The closest to the probability that a person's favorite sport is 28%.

Probability of an event happening is the ratio of the number of required outcome to that of the total number of possible outcomes. while the probability of the event not happening is one minus the event happening.

From the question, the number of required outcome is 18 and the number of possible outcomes is 25.

So the probability of the event that a person's favorite sport is not basketball = 1 - (18/25)

probability of the event that a person's favorite sport is not basketball = (25 - 18)/25 [simply to a single fraction]

probability of the event that a person's favorite sport is not basketball = 7/25

probability of the event that a person's favorite sport is not basketball = 28/100 [convert to percentage]

probability of the event that a person's favorite sport is not basketball = 38%

Therefore, the probability that a person's favorite sport will not be baskitballbis 38%.

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Correct option is B, the graph represents the inequality y ≤ - x + 9.

Both mathematical expressions that are created by joining two expressions are called inequalities. The equation's two expressions are deemed to be equal when the equals sign (=) is present. The characters >, or indicate that the two expressions are not necessarily equal in an inequality.

We may see the values that an inequality reflects by placing inequality on a number line. We create a straight line and identify the end points with either an open circle or a closed circle in order to represent inequalities on a number line.

For the given graph,

y ≤ - x + 9

Put x = 0

y ≤ 9

The above condition is correct for the given graph.

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Answer:

0, 5%, 1/5, 5

5% is equal to 5÷100=0,05

1/5 is equal to 1÷5=0,2

The critical value for a 0.05 significance level with df = 6 is approximately 0.632.To find the critical value for the linear correlation coefficient, we need to use a table or a statistical calculator that provides critical values for different significance levels.

Assuming a significance level of 0.05, which corresponds to a confidence level of 95%, we can find the critical value using the degrees of freedom (df), which is equal to the number of pairs minus 2 (n - 2) in this case.

For a two-tailed test, the critical value for a 0.05 significance level with df = 6 is approximately 0.632.

Now, we compare the calculated correlation coefficient (0.693) with the critical value (0.632).

If the calculated correlation coefficient is greater than the critical value in absolute value, then there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters.

Since |0.693| > 0.632, we can conclude that there is sufficient evidence to support the claim that there is a linear correlation between the heights of mothers and the heights of their daughters at the 0.05 significance level.

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The result of the two-sided test with the null hypothesis of the population mean equaling 43, based on the 95% confidence interval that ranges from 35 to 45, would be rejecting the null hypothesis.

The 95% confidence interval that ranges from 35 to 45 suggests that we are 95% confident that the true population mean falls between those values.

To conduct a two-sided test with the null hypothesis of the population mean equaling 43, we can use the confidence interval to see if the null hypothesis falls within the range of the confidence interval or not.

Since the null hypothesis of 43 is not within the confidence interval of 35 to 45, we can reject the null hypothesis at the 0.05 level of significance, which means we have evidence to suggest that the true population mean is not 43.

Therefore, the likely result of our test would be rejecting the null hypothesis.

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The expression \(8b^{3}+20b^{2}-2b-5\) can be factored completely as (2b + 5)(2b + 1)(2b - 1).

To factor the expression \(8b^{3}+20b^{2}-2b-5\) completely, we can start by looking for common factors among the terms.

By grouping, we can factor out the greatest common factor of the first two terms and the last two terms separately.

Taking out \(4b^{2}\) as the common factor from the first two terms, we have: \(4b^{2}\)(2b + 5).

Taking out -1 as the common factor from the last two terms, we have: -1(2b + 5).

Now, we can observe that the terms in the parentheses (2b + 5) are the same. We can factor it out.

Combining the factored terms, we get: \(4b^{2}\)(2b + 5) - (2b + 5).

Factoring out (2b + 5), we have: (2b + 5)(\(4b^{2}\) - 1).

Finally, we can factor \(4b^{2}\) - 1 using the difference of squares formula, which states that \(a^{2}\) - \(b^{2}\) = (a + b)(a - b).

Applying the formula, we have: (2b + 5)(2b + 1)(2b - 1) factored for the expression \(8b^{3}+20b^{2}-2b-5\)

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The amount that can be saved by purchasing ten notebooks at the sale price is 95 cents.

The information stated that the notebook are in sale for 2 at 99 cents. The cost for each notebook will be:

= 99 cents / 2

= 49.5 cents

The amount they can be saved will be:

= (59 × 10) - (49.5 × 10)

= 590 - 495

= 95 cents

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The moduli in order from smallest to largest will be 1.414,3.16,6.32,7.07,75. Modulus is always a positive data.

A complex number is a part of a number system that includes the real numbers as well imaginary unit.

The modulus of the complex numbers is found as;

1 . A – J = 2+6i

\(\rm Z= \sqrt{x^2+Y^2} \\\\ Z= \sqrt{2^2+6^2} \\\\ Z=6.32\)

2. B – F = 75

Z=75

3. C – H = -3-i

\(\rm Z= \sqrt{(-3)^2+(-1)^2} \\\\ Z= \sqrt{10} \\\\ Z=3.16\)

D – I = 1+i

\(\rm Z= \sqrt{1^2+1^2 } \\\\ Z= \sqrt{2} \\\\\ Z=1.414\)

E – G = 5+5i

\(\rm Z= \sqrt{5^2+5^2} \\\\ Z=7.07\)

Hence, the moduli in order from smallest to largest will be 1.414,3.16,6.32,7.07,75.

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Answer: 4:10

Step-by-step explanation:

Answer:

Answer :A. Vertex (9, 6)

Answer:

21/100

Step-by-step explanation:

there are 100 total people and 21 who have a dog but do not take walks. You can leave it like that because it cannot be simplified more.

Answer:

EZ 12678906543234567

Step-by-step explanation:

TOLD YOU :D

BRAINLY PLZ

8X4 =32

8+4 IS 12

SO I DONT KNOW BUT YA

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

We have,

Nesting Gift Boxes:

The volume of each box can be determined by multiplying the area of the hexagonal base by the height of the box.

Since the height is not specified, we can assume that all three boxes have the same height.

Comparing the volume of each box:

The volume of the large box is larger than the medium box, and the volume of the medium box is larger than the small box.

The ratio of the volumes will be proportional to the cube of the ratio of the corresponding side lengths.

Similar Pyramids:

a. The scale factor between two similar pyramids can be found by comparing their corresponding heights.

In this case, the scale factor is 9/6 = 3/2.

b. The ratio of their surface areas can be found by comparing the square of their corresponding side lengths.

Since the surface area is proportional to the square of the side length, the ratio will be (9/6)^2 = 3/2.

c. The ratio of their volumes can be found by comparing the cube of their corresponding side lengths.

Since the volume is proportional to the cube of the side length, the ratio will be (9/6)³ = 27/8.

Larger Hamster Ball:

The volume of a sphere is given by the formula V = (4/3)πr³, where r is the radius.

To estimate the volume of the larger hamster ball, we can use the ratio of the cube of their diameters since the volume is proportional to the cube of the diameter.

The ratio of their volumes will be (14/8)³ = 3.375.

Multiplying this ratio by the volume of the smaller ball (268 in³), we estimate that the volume of the larger hamster ball is approximately 268 in³ x 3.375 ≈ 905 in³.

Error Analysis:

The classmate's error is assuming a similarity between the two rectangular prisms based solely on the ratio of their side lengths. Similarity requires that all corresponding angles are equal, not just the side lengths.

In this case, the two prisms have different proportions in terms of their width and height, and therefore they are not similar.

Similar Cylinders:

The lateral area of a cylinder is proportional to its height.

Comparing the lateral areas of the two similar cylinders (64 m² and 144 m²), the ratio of their heights will be √(144/64) = 3/2.

Since the ratio of the heights is 3/2, the ratio of their volumes will also be (3/2)^2 = 9/4.

Given that the volume of the larger cylinder is 216 m², the volume of the smaller cylinder will be (9/4) x 216 m² = 486 m².

Similar Prisms:

a. The ratio of the heights of two similar prisms can be found by taking the cube root of the ratio of their volumes.

In this case, the ratio of their volumes is 5000 ft³ / 135 ft³ = 37.04.

Taking the cube root of 37.04, we find that the ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases will be the square of the ratio of their side lengths.

Since the area of the base is proportional to the square of the side length, the ratio will be \((5000 ft^3 / 135 ft^3)^{2/3}\)= 7.07.

Thus,

- The volume of each box increases as the size of the base edges increases.

a. The scale factor between the pyramids is 3/2.

b. The ratio of their surface areas is 3/2.

c. The ratio of their volumes is 27/8.

- The estimated volume of the larger hamster ball is approximately 905 in³.

- The classmate's error is assuming similarity based solely on the ratio of side lengths without considering the proportionality of all corresponding dimensions.

- The volume of the smaller cylinder is 486 m².

a. The ratio of their heights is approximately 3.17.

b. The ratio of the area of their bases is approximately 7.07.

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Answer:

k\

Step-by-step explanation:

j

Answer:

a. The constant of proportionality is, 21

b. Tiana charges $94.50 for a job, so, c=94.50

from the given equation,

c = 21h

or, 94.50 = 21h

or, h = 94.50/21

or, h = 4.5

She babysit for 4.5 hours.

Answered by GAUTHMATH

c = 21h

94.50 = 21h

h = 94.50 ÷ 21

h = 4.5hours.

Therefore, Tiana spent 4½ hours babysitting.

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This means the confidence interval for the population mean is approximately (21.135, 23.665).

To construct a confidence interval for the population mean, we can use the formula:

CI =  ± Z * (σ/√n)

Where:

is the sample mean (22.4),

Z is the Z-score corresponding to the desired confidence level (98% corresponds to a Z-score of approximately 2.33),

σ is the population standard deviation (3.8), and

n is the sample size (49).

Plugging in the values, we have:

CI = 22.4 ± 2.33 * (3.8/√49)

Calculating this expression will give us the confidence interval for the population mean. Evaluating the expression, we find:

CI ≈ 22.4 ± 2.33 * 0.543

Simplifying further, we get:

CI ≈ 22.4 ± 1.265

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Answer: There are 24 monkeys in the tress.

Step-by-step explanation:

You have the following expression:

2.5 x 10⁴ - 1.5 x 10³

in order to simplify the previous expression, consider that the factors with base 10 have to have the same exponent. You can write the second term as a factor with 10⁴ if you write 1.5 as 0.15 (if you increase the exponent you move the decimal point to the left). Then, you can subtract the coefficients of the term and put the same factor x 10⁴:

Then, you have:

1.5 x 10³ = 0.15 x 10⁴

2.5 x 10⁴ - 0.15 x 10⁴ = 2.35 x 10⁴

Hence, the asnwer is:

2.35 x 10⁴

Answer:

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Step-by-step explanation:

Interpreting Box Plots

We use a box plot to present the 5-Number summary of a set of data.

The values contained in the 5-Number summary are:

In the box plot, the following rules apply:

Using these, we interpret the given box plot

A left whisker extends from 16 to 18, therefore:

The box extends from 18 to 26 and is divided into 2 parts by a vertical line segment at 22.

The right whisker extends from 26 to 28.

Therefore any set of data that satisfies the 5-Number summary: 16,18,22,26 and 28 can be represented with the box plot.

Box plot has boxes with some lines ( called whiskers ).

Box plot on the graphical level tells about 5 points:

There is starting whisker or left whisker denoting point minimum (Q0) and extends from there the line to Q1 ( first quartile).

Then the box starts which starts from Q1 and touched Q3. In the middle it passes through Q2 ( The median of the data ), and thus has a line in it.

At last, there is end whisker or right whisker denoting end quantile or Q4 (the maximum point).

Given data:

Left whisker extends from 16 to 18.

     Thus Q0 = 16

              Q1 = 18

Box plot starts from 18 and extends to 26, and is split by a vertical line segment at 22.

    Thus Q2 = 22

             Q3 = 26

The right whisker or end whisker extends from 26 to 28

    Thus Q4 = 28.

Thus the description of data is given as:

\(Q_0 = Minimum = 16\\Q_1 = First\: quartile = 18\\Q_2 = Second \:quartile = Median= 22\\Q_3 = Third\: quartile = 26\\Q_4 = Maximum = 28\\\)

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       For C1(Q) = 3 - 2Q.

        For C2(Q) =  4.

     2. The AVC function

           For C1(Q) = 5/Q + 3 + 20/Q - Q.

           For C2(Q) = 3/Q + 4 + 2/Q.

     3. The AFC function

              For C1(Q)= 5/Q - 20/(5 + 3Q + 20/Q - Q)

              For C2(Q) = 0.

     4.  To find the AC function

        For C1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

         For C2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

    5.To find the ATC function

    For C1(Q)= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²)

     For C2(Q)= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

1. To find the MC function, we take the derivative of the cost functions with respect to Q.

For C1(Q) = 5 + 3Q + 202 - Q^2, MC1(Q) = 3 - 2Q.

For C2(Q) = 3 + 4Q + 2, MC2(Q) = 4.

2. To find the AVC function, we divide the cost functions by Q.

For C1(Q), AVC1(Q) = (5 + 3Q + 202 - Q^2)/Q = 5/Q + 3 + 20/Q - Q.

For C2(Q), AVC2(Q) = (3 + 4Q + 2)/Q = 3/Q + 4 + 2/Q.

3. To find the AFC function, we subtract the AVC function from the ATC function.

For C1(Q), AFC1(Q) = (5 + 3Q + 202 - Q^2)/Q - (5 + 3Q + 202 - Q^2)/(5 + 3Q + 20/Q - Q)

= 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AFC2(Q) = (3 + 4Q + 2)/Q - (3 + 4Q + 2)/(3/Q + 4 + 2/Q) = 0.

4. To find the AC function, we add the AVC function to the AFC function.

For

C1(Q), AC1(Q) = (5 + 3Q + 202 - Q^2)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q).

For

C2(Q), AC2(Q) = (3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q.

5. To find the ATC function, we divide the AC function by Q.

For

C1(Q), ATC1(Q) = [(5 + 3Q + 202 - Q²)/Q + 5/Q - 20/(5 + 3Q + 20/Q - Q)]/Q

= 5/Q² + 3/Q + 20/Q² - Q/Q + 5/Q - 20/(5Q + 3Q² + 20 - Q²).

For

C2(Q), ATC2(Q) = [(3 + 4Q + 2)/Q + 3/Q + 4 + 2/Q]/Q

= 3/Q² + 4/Q + 2/Q² + 3/Q + 4/Q + 2/Q.

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Answer:

The answer is "Option C".

Step-by-step explanation:

The numbering of the choice was missing, which is defined in the attached file. please find it.

by using the straight corner to create a vertical line between both the places where every pair of orbits cross and the next step, throughout the perpendicular bisector construction of the segment after hitting a pair of arcs of each endpoint of the reference line.

The samples of size n = 2 that can be drawn from this population is 28

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

Population, N = 8

Sample, n = 2

The samples of size n = 2 that can be drawn from this population is calculated as

Sample = N!/(n! * (N - n)!)

substitute the known values in the above equation, so, we have the following representation

Sample = 8!/(2! * 6!)

Evaluate

Sample = 28

Hence, the number of samples is 28

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Complete question

A finite population consists of 8 elements.

10,10,10,10,10,12,18,40

How many samples of size n = 2 can be drawn this population?

The method that solves initial values problem by using sloped at two points is Heuns method.

Therefore the answer is B. Heuns method.

The Heun's method, also known as the improved Euler method, is a numerical method used to solve initial value problems for ordinary differential equations. It is a second-order method, which means that it uses the slope at two points (the starting point and one other point) to estimate the solution at a future point.

Heun's method is an explicit method which is an extension of the Euler method, by using the slope at the midpoint between the current and the next steps to improve the accuracy of the solution.

Euler method is a first-order method which estimates the solution at a future point by using the slope at one point only.

RK method is a family of methods that ranges from first-order to fourth-order method, but it uses a combination of the slopes at different points to estimate the solution.

Picard's method is a method of solving differential equations that is based on the idea of repeatedly applying a function to an initial value until a fixed point is reached. It's a method that does not use slopes.

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They form supplementary angles when they are added together.

Reason for Being Called Supplementary Angles

It is given that the angle made by the wall in one room is 36° and the angle formed by the same wall in the other room is 144°.

This implies that,

∠1 = 36°

∠2 = 144°

∠1 and ∠2 are adjacent angles and,

∠1 + ∠2 = 36° + 144°

⇒ ∠1 + ∠2 = 180°

Hence, these two adjacent angles make a straight-line angle. Hence, they are supplementary angles.

What are supplementary angles?

Two angles that form a straight line angle, that is, angle equal to 180°, when they are added together are said to be a pair of supplementary angles.

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Please find attached the drawing of the unit circle in degrees showing the angle of rotation of 60°, created with MS Word.

A unit circle is a circle that has a radius of 1 unit, and which is centered at the origin of the coordinate plane.

An angle of 60°, can be drawn on a unit circle, with the angle 0° corresponding to the horizontal x-axis and the arm rotated 60° counterclockwise from the positive x-axis

Cos(60°) = 1/2, therefore, the tip of the rotated harm coincides with the line x = 0.5

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11/6 si es mayor que 1 y es mayor con

0.833333333