what numbers are grater than -0.33

For the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

In mathematics, a saddle point or minimax point is a point on the surface of the graph of a function where the slopes (derivatives) in orthogonal directions are all zero (a critical point), but which is not a local extremum of the function.

We have the following function -

F(x, y) = x³ + y³ - 3x² - 6y² - 9x

We will plot the 3 dimensional graph of this function. From the model it can be seen that, the local maximum value is 5 and the local minimum value is -3. Since the graph is discontinuous, we cannot locate the saddle points.

Therefore, for the function F(x, y) = x³ + y³ - 3x² - 6y² - 9x ,  the local maximum value is 5 and the local minimum value is -3. The graph is discontinuous, so we cannot locate the saddle points.

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The Practice Operations with radical expressions is simplified using the basic of the Algebra:

Algebraic expressions incorporating radicals are known as radical expressions. The root of an algebraic expression makes up the radical expressions (number, variables, or combination of both). The root might be an nth root, a square root, or a cube root. Radical expressions can be made simpler by taking them down to their most basic form and, if feasible, getting rid of all of the radicals.

Radical expressions are simplified by taking them down to their most basic form and, if feasible, altogether deleting the radical. An algebraic expression's numerator and denominator are multiplied by the appropriate radical expression if the denominator contains a radical expression.

Practice Operations with radical expressions are:

1) \(\sqrt{540}\) = \(\sqrt{36 * 15 }\)

= 6√15

2) \(\sqrt[3]{432}\) = \(\sqrt[3]{216*2}\)

= \(6\sqrt[3]{2}\)

3) \(\sqrt[3]{128}\) = \(\sqrt[3]{64*2}\)

= \(4\sqrt[3]{2}\)

4) \(-\sqrt[4]{405}\) = \(-\sqrt[4]{81*5}\)

= \(-3\sqrt[4]{5}\)

5) \(\sqrt[3]{-5000}\) = \(-\sqrt[3]{1000*5}\)

= \(-10\sqrt[3]{5}\)

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Answer:

87.95479

Step-by-step explanation:

10.3% of 853.93 km

Expand 10.3÷100 by multiplying both numerator and denominator by 10.

\( \small \sf \frac{10.3 \times 10}{100 \times 10} = 853.93 \\ \)

\( \small \sf \frac{103}{1000} = 853.93 \\ \)

convert decimal number 853.93 to fraction 85394÷100

\(\small \sf \frac{103}{1000} = \frac{85393}{100} \\\)

Multiplying 103÷1000 and 85393÷100 by numerator times numerator and denominator times denominator.

\(\small \sf \frac{103 \times 8539 3}{1000 \times 100} \\\)

Do the multiplication in the fraction

\(\small \sf \frac{8795479}{100000} \\ \)

Divide we get

87.95479

Another way to solve it

10.3% 853.93

we know that ; % = whole no. ÷ 100

then,

10.3 ÷ 100 × 853.93

Divide the numbers

0.103 × 853.93

multiply the numbers

87.95479

the area of triangle $AMN$ is 8 square cm.

To find the area of triangle $AMN$, we need to determine the lengths of its base and height.

In square $ABCD$ with side length 4 cm, $N$ is the midpoint of side $BC$, so $BN = NC = \frac{1}{2} \cdot 4 = 2$ cm.

Similarly, $M$ is the midpoint of side $CD$, so $CM = MD = \frac{1}{2} \cdot 4 = 2$ cm.

Now, we can see that $AM$ is the height of triangle $AMN$ and has a length of 4 cm, as it is parallel to side $AD$ of the square.

$AN$ is the base of triangle $AMN$ and has a length of $BN + CM = 2 + 2 = 4$ cm.

Therefore, the area of triangle $AMN$ is given by:

$A_{AMN} = \frac{1}{2} \times \text{base} \times \text{height} = \frac{1}{2} \times 4 \times 4 = 8$ square cm.

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Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

The equal letter (=) is used to signify equivalence between the statements in a mathematical formula. Using mathematical equation, which are declarations of reality, it is shown that many mathematical variables are equivalent. For instance, the equal sign in the equation

y + 6 = 12 divides the values 12 or b + 6 into two halves. The number of words that each side of a symbol corresponds to can be measured. Typically, a symbol's meaning is at odds with itself.

Here,

Given :

Every point on the graph in red is 1/2 away from the x-axis as that of the equivalent position on the graph in black.

Therefore, the vertically scale factor is equal to 1/2:

=> y = (1/2)f(x)

This problem can be solved by multiplying it by two and yields the following solution:

=> 2y = f(x)

thus , option c is correct

Therefore , the solution of the given problem of equation comes out to be  option c is correct 2y = f(x) .

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Answer:

-1 = A

Step-by-step explanation:

First, you add 6+5, which equals 11. Then you have 11a = -11. Since all you have to do is multiply 11 by one and you get 11, add a negative symbol in front of it. 11 x -1 = -11

Hope this helps, it's very simple!

Answer: 4 inches

Step-by-step explanation:

  Well you know that a foot is 12 inches. We also know that when it is asking to convert 1/3 of a foot to inches that it is asking us to give one of three of the same numbers that add up to equal 12. So it is asking us to divide.

Question: Convert 1/3 foot to inches. 1 ft. = 12 in.

1/3 × 12/1 = 12/3

Which is the same as if you wrote it like:

12 ÷ 3

12 ÷ 3 = 4

So to convert would be:

1/3 ft. = 4 in.

True. Hexadecimal numbers are written using the base 16 number system, where digits range from 0 to 9 and A to F. They are commonly used in computer systems for concise representation and easy conversion to binary.

In the hexadecimal number system, there are 16 symbols used to represent values, namely 0-9 and A-F. Each digit in a hexadecimal number represents a multiple of a power of 16.

The symbols 0-9 represent the values 0-9, respectively. The symbols A-F represent the values 10-15, respectively, where A represents 10, B represents 11, C represents 12, D represents 13, E represents 14, and F represents 15.

For example, the hexadecimal number "3F" represents the value (3 * 16^1) + (15 * 16^0) = 48 + 15 = 63 in decimal.

Similarly, the hexadecimal number "AB8" represents the value (10 * 16^2) + (11 * 16^1) + (8 * 16^0) = 2560 + 176 + 8 = 2744 in decimal.

Hexadecimal numbers are commonly used in computer systems, as they provide a convenient way to represent large binary numbers concisely. Each hexadecimal digit corresponds to a four-bit binary number, allowing for easy conversion between binary and hexadecimal representations.

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The probability of  the tenth person randomly interviewed in that city is the sixth one to own a dog is 0.051 (5.1%).

p= probability that a person owns a dog = 0.3

x= number of people found that owns a dog = 5

C(n,x) = combinations of 5 persons who owns a dog from 10 interviewed ( number of times we can observe 5 people from 10 owning a dog)

For our case we know that the tenth person has a dog , then considering that constraint  the number of times observed must be modified  and is equal to the number of times we can observe 4 people out of 9 that has a dog ( since we know already that the tenth will be a person who owns a dog)

Therefore

P(tenth person is the fifth one to own a dog) = \(P(X=x) = C (n,x)\times p^x \times (1-p)^{(n-x)}\)

= \(C (9,4) \times 0.3^5 \times {0.7^{(10-5)} = 0.051\)

Therefore the probability is 0.051 (5.1%)

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Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

Answer:

B

Step by Step Explanation:

D = (1, 1)

E = (2, 3)

Take out C immediately, as the distance is 100% not more than 3 units.

I'm going to go with the premise that wherever the letters' points on the graphs are where the letters are located.

Take out D as well because the distance is around 2 - 2.66 units, and not under (Look at what I said previously).

Now if we get a ruler and rotate it exactly to the line from D to E, we will get the answer B (This is due to angles).

Hope this answered your question or at least helped, in which case you're welcome. :D

it would be 2.24 !!!

A formula one race car will travel for 193.45 miles before changing its tires.

From the case, we know that:

tires diameter = 26 in.

1 set of tires = 150,000 rotations

12 in = 1 ft

1 miles = 5280 ft

We need to find the circumference of the tires before finding the total travel length.

Circumference = πd

Circumference = π(26in)

Circumference = 81.714 in.

We need to find the tires circumference in mile scale:

Circumference = 81.714 in : (12 inc/ft) : (5280 ft/miles)

Circumference = 0.0013 miles

Total travel distance = tires circumference x rotations

Total travel distance = 0.0013 x 150,000

Total travel distance = 193.45 miles

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Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:

The chemical element loses 4% of its weight everyday

Step-by-step explanation:

Here, we are interested in knowing the percentage weight loss of the chemical each day.

The key to answering this is looking at the expression inside the bracket.

We can express M(t) = 169•(0.96)^t as

M(t) = 169•(1-0.04)^t

So what this means is that we need to find the percentage value corresponding to 0.04 since it is a constant term here

Mathematically, 0.04 is same as 4/100, so we can clearly say that the constant percentage loss is 4%

Answer:

0.96

Step-by-step explanation:

The exponential function modeling the mass of the sample is of the form M(t)=A⋅Bt. Therefore, AAA determines the initial mass of the sample (when Clemence began studying it) and BBB determines the daily change in the mass of the sample.

The mass of the sample is multiplied by \it{0.96}0.960, point, 96 every day. Since 0.96<10.96<10, point, 96, is less than, 1, the mass of the sample shrinks by a factor of 0.960.960, point, 96 every day.

Every day, the mass of the sample shrinks by a factor of 0.960.960, point, 96.

Answer:

A. 1/6

B. 1

Step-by-step explanation:

A. 9/j x j/54= 9/54 = 1/6

B. 6k/8m : 3k/4m = 6k/8m : 4m / 3k = 2/2 =1

Answer:

a. 3/2

b. 1

Step-by-step explanation:

A. To simplify the expression, we can cancel out the common factor of j:

9/j * j/54 = (9/1 * 1/6) = 3/2

Therefore, 9/j * j/54 simplifies to 3/2.

B. To divide fractions, we can multiply the first fraction by the reciprocal of the second fraction. That is,

(a/b) ÷ (c/d) = (a/b) x (d/c)

Using this rule, we can simplify the given expression as follows:

6k/8m ÷ 3k/4m = (6k/8m) x (4m/3k)

             = (6/8) x (4/3)  

             = 2/2

             = 1

Answer:

this is your answer.......

Step-by-step explanation:

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The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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The initial position of the point W (-13, 9)

The transformed position of the point W' (-9, -13)

when transformed 90 degrees counterclockwise, the coordinates of the original position is swapped and the y-coordinate is negated

That is if the W coordinate is (x,y), the transformation W coordinate in 90 degrees counter-clockwise will be (-y, -x )

Since W is (-13, 9)

Then W' will be ( -9 , -13)...In 90 degrees counterclockwise

Answer:

the answer would be y^6/x^2

Step-by-step explanation:

so (Y) to the sixth power over (X) to the second power

The standard normal distribution has a mean of 0 and a standard deviation of 1. M ≈ 30.935. The median of the distribution is also 25.

(a) To find M, we first need to convert the given values of mean and standard deviation to the standard normal distribution. This can be done by using the formula Z = (X - μ) / σ, where Z is the Z-score, X is the value of interest, μ is the mean, and σ is the standard deviation. In this case, we have X ~ N(25, 9). Substituting the values into the formula, we get Z = (X - 25) / 3. Now we need to find the Z-score that corresponds to the desired probability of 0.95. Using a standard normal distribution table or a calculator, we find that the Z-score corresponding to a cumulative probability of 0.95 is approximately 1.645. Setting Z equal to 1.645, we can solve for X: (X - 25) / 3 = 1.645. Solving for X, we get X ≈ 30.935. Therefore, M ≈ 30.935.

(b) The median is the value that divides the distribution into two equal halves. In a normal distribution, the median is equal to the mean. In this case, the mean is given as 25. Therefore, the median of the distribution is also 25.

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\({ \boxed{ \orange{ \sf{421.875 \: {cm}^{3}}}}} \)

Step-by-step explanation:-

\({ \red{ \sf{Volume \: of \: the \: cube }}} = { \green{ \sf{ {a}^{3}}}} \)

\({ \red{ \sf{Volume \: of \: the \: cube } = }} \: \: { \green{ \sf{7.5 \times 7.5 \times 7.5}}}\)

\({ \red{ \sf{Volume \: of \: the \: cube = { \green{ \sf{56.25 \times 7.5}}}}}}\)

\({ \boxed{ \sf{Volume \: of \: the \: cube = 421.875 {cm}^{3}}}} \)

The lab should budget for the next year's rat orders be $63,700.00.

The lab orders 100 rats a week for each of the 52 weeks in the year for experiments that the lab conducts.

The prices for 100 rats follow the given distribution:

Price ($): 10.00, 12.50 , 15.00

Probability: 0.35 0.40 0.25

Mean price per 100 rats can be calculated using the expected value formula,

μx = ∑ [ xi × P(xi) ]

where

μx = mean value,

xi = price,

P(xi) = probability of xi

Mean price per 100 rats:

μx = (10.00 × 0.35) + (12.50 × 0.40) + (15.00 × 0.25)

μx = 3.50 + 5.00 + 3.75

μx = $12.25

The mean price per 100 rats is $12.25.

Hence, the cost of 100 rats is $12.25.

Therefore, the lab should budget for the next year's rat orders:

$12.25 × 100 × 52

= $63,700.00

The lab should budget for the next year's rat orders be $63,700.00.

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Answer and Step-by-step explanation:

This problem requires the use of trigonometric functions, specifically the tangent trig function.

\(tan(Angle)=\frac{opposite}{adjacent}\)

Plug in the values.

\(tan(40) = \frac{8000}{x}\)

Multiply by x to both sides, then divide by tan(40) to both sides.

\(x = \frac{8000}{tan(40)}\)

Now, plug this into a calculator and rounded to the nearest whole number (foot).

x = 9534.0287

x = 9534 ft.

The answer is 9534 ft., the last option.

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When you divide a whole number by a fraction, the quotient is larger than the dividend.

This is because dividing a whole number by a fraction is the same as multiplying the whole number by the reciprocal (inverse) of the fraction.

For example, if we divide 6 by 1/2, it is equivalent to multiplying 6 by 2, which gives us a quotient of 12. So, the quotient of 12 is larger than the dividend of 6.

This happens because dividing by a fraction means we are dividing the whole into smaller parts, and the more parts we divide it into (i.e., the smaller the fraction), the more of those parts we get. Therefore, the quotient is larger than the dividend as we are getting more of the smaller parts.

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\(8.92 \times 10^6\)

\(8920000\)

Answer: 945.52

Step-by-step explanation:

All the soldiers belonging to the knights can be made to stand in line, with the groups staying together in n! * (k!)ⁿ ways.

This is a classic Permutation and Combinations question, and we use the principles of this topic to answer the question.

For starters, let's think of a group of soldiers as a single entity, instead of being a combination of soldiers.

There are 'n' groups, corresponding to 'n' knights, as each knight has a group.

So, we need to arrange 'n' groups in different possible orders in a straight line, which can be done in n! ways.

This is defined by the basic rules or arranging 'n' objects.

Inside the group, there are 'k' soldiers, who can be arranged in the same group in k! ways. But there are 'n' groups.

Which means,

Total possible permutations = k! * k! * k! * .....

                                               = (k!)ⁿ ways in total.

Now, finally, we just multiply the permutations of groups, and the permutations inside the groups, to cover all possible combinations of soldiers standing.

Total combinations = n! * (k!)ⁿ

Thus, we conclude that the 'kn' soldiers belonging to all groups, can be arranged in a straight line such that the same group of soldiers are together, in n! * (k!)ⁿ ways.

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