1. Use the definition of the derivative as a limit to find the derivative of the function f(x) = -2,3 + 3x² + 2x - 10.

Answer:

25 %

Step-by-step explanation:

The factor that provides the basis for the grading of newly diagnosed malignant tumours is degree of differentiation.

The level of differentiation impacts an individual's capacity to control their emotions, thoughts, individuality, and connections to others. The degree of any differential equation can be obtained when it is expressed as a polynomial; otherwise, the degree cannot be defined.

The mechanisms by which immature cells develop into mature cells with particular roles are described in biology. This indicates the degree to which tumour tissue resembles the healthy tissue from which it originated in the context of cancer. Compared to poorly or undifferentiated cancer cells, well-differentiated cancer cells resemble normal cells more and grow and spread more slowly. Tumour grading systems, which vary for each form of cancer, use differentiation.

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Answer:

x= √10 and x= -√10

Step-by-step explanation:

first look to isolate the term with the variable on one side

-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)

-2x² = -20; divide both sides by -2 (inverse of multiplication)

x² = 10; square root both sides (the inverse of raising to power of 2)

√x² =√10

x =±√10

We are to fit the graph.

Fitting the graph we have,

From the graph, the book having 4 chapters would have approximately 120 pages.

Answer: 57285

Step-by-step explanation:   I can't show the work digitally but all you do is multiply.

a) The relationship between b and c is that c cannot be zero.

b) b can be any nonzero constant and c is equal to 2.5 in this case.

In two dimensions, the compatibility equations for strain are,0

∂εx/∂y + ∂γxy/∂x = 0

∂εy/∂x + ∂γxy/∂y = 0

where εx and εy are the normal strains in the x and y directions, respectively, and γxy is the shear strain.

Using the given strain field, we can calculate the strains,

εx = -4.5cx² + 10.5cy

εy = 1.5cx² - 7.5cy²

γxy = 1.5bxy

Taking partial derivatives and plugging them into the compatibility equations, we get,

⇒ -9cx + 0 = 0

⇒ 0 + (-15cy) = 0

These equations must be satisfied for the strain field to be compatible. From the first equation,

We get cx = 0, which means c cannot be zero.

From the second equation, we get cy = 0,

Which means b can be any nonzero constant.

For part b:

We are asked to find the displacements u and v corresponding to the given strain field at points (3, 7), assuming they are zero at point (0, 0) and using c = 2.5.

To find the displacement components,

We need to integrate the strains with respect to x and y. We get,

u = ∫∫εx dx dy = ∫(10.5cy) dy = 5.25cy²

v = ∫∫εy dx dy = ∫(1.5cx² ) dx - ∫(7.5cy²) dy = 0.5cx³ - 2.5cy³

Plugging in the values of c and b, we get,

u = 5.25(2.5)(7)²  = 767.62

v = 0.5(2.5)(3)³ - 2.5(7)³ = -8583.75

Therefore,

The displacements at points (3, 7) are u = 767.62 and v = -8583.75.

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Answer:2=n-16

Step-by-step explanation:

So fist you would start off by reading sum of 2. that tells me that something + something =2. So it would be __+__=2 right? Yes, Then you read a # is at least 16, ( at least means subtract) so your equation would be n+16=2

The gravitational potential energy of the stone-Earth system can be calculated before the stone is released, after it reaches the bottom of the well, and the change in gravitational potential energy during the process.

Gravitational potential energy is given by the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height.

(a) Before the stone is released, it is held 11 m above the top edge of the well. The mass of the stone is 0.25 kg, and the acceleration due to gravity is approximately 9.8 m/s². Using the formula, the gravitational potential energy is calculated as PE = (0.25 kg)(9.8 m/s²)(11 m).

(b) After the stone reaches the bottom of the well, its height is 7.3 m. Using the same formula, the gravitational potential energy at this point is given by PE = (0.25 kg)(9.8 m/s²)(7.3 m).

(c) The change in gravitational potential energy can be determined by subtracting the initial potential energy from the final potential energy. The change in gravitational potential energy is equal to the gravitational potential energy after reaching the bottom of the well minus the gravitational potential energy before the stone was released.

By calculating these values, we can determine the specific numerical values for (a), (b), and (c) based on the given data.

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The maximum temperature in the rod at any particular time is 2.

To find the maximum temperature in the rod at any particular time, we can analyze the initial temperature distribution and how it evolves over time.

The given equation ut = u_xx represents a heat conduction equation, where ut is the rate of change of temperature with respect to time t, and u_xx represents the second derivative of temperature with respect to position x.

The boundary conditions u(0,t) = 0 and u(1,t) = 0 indicate that the ends of the rod are kept at a constant temperature of zero. This means that heat is being dissipated at the boundaries, preventing any temperature buildup at the ends of the rod.

The initial temperature distribution u(x,0) = 2sin(4πx) describes a sine wave with an amplitude of 2 and a period of 1/2, oscillating between -2 and 2. This initial distribution represents the initial state of the rod at time t=0.

As time progresses, the heat conduction equation causes the temperature distribution to evolve. The maximum temperature at any particular time will occur at the peak of the temperature distribution.

Intuitively, since the initial distribution is a sine wave, we can expect the maximum temperature to occur at the peaks of this wave. The amplitude of the sine wave is 2, so the maximum temperature at any time t would be 2.

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Answer:

\(2 \frac{1}{4} \times \frac{9}{5} \)

\( \frac{9}{4} \times \frac{9}{5} \\ \frac{81}{20} \)

Answer

-3/5

Step-by-step explanation:

to find this you have to use the equation y1 - y2 / x1 - x2

so first write -3 - 0 (or 0 - - 3) over 6 - 1

it looks like -3/5

Answer:

sorry i would help if i new let me see if i can find it somewhere

Step-by-step explanation:

The number of ways that the teacher can arrange the row is  185328000

Given,

Number of male students = 12

Number of female students = 13

Number of students teacher needs to select = 8

The row arrangement is like; 4 men in the middle and  2 women on each end;

Here,

Order of the arrangement is considered.

So, permutation can be used.

Female students selected = ¹³P₂

Male students selected = ¹²P₄

Then,

Number of ways for the arrangement =  ¹³P₂ × ¹²P₄

= 15600 × 11880

= 185328000

That is,

The teacher can arrange a row with 4 men in the middle and 2 women on each end in 185328000 ways.

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Answer:

itss the internet wht do u expect

The time taken by both to mow the lawn is 36 minutes.

This is a question of time and work.

It is given that:-

Time taken by boy to mow the loan = 90 minutes.

Time taken by girl to mow the loan = 60 minutes.

We have to find the time taken by both of them together to mow the lawn.

LCM(60,90) = 180

Let the total work to be done to mow the lawn be 180 units.

Hence,

Efficiency of boy = 180/90 = 2 units

Efficiency of girl = 180/60 = 3 units

Total efficiency = 2 + 3 = 5 units.

Hence, time taken by both of them to mow the lawn = 180/5 = 36 minutes.

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Step 1

Given; Shaia has been monitoring her weight. In December, she weighed 167.5 pounds; by June the following year, she weighed 142.3 pounds. Calculate the absolute and relative change in Shaia's weight from December to June.

Step 2

Answer;

Answer: g(0) = 2

Step-by-step explanation:

g(x)=3x+2

g(0)=3(0)+2

=2

Step-by-step explanation:

I think you are missing the square root signs or so in the answer options.

the distance between 2 points is calculated by using Pythagoras for right-angled triangles.

c² = a² + b²

c is the Hypotenuse of the triangle and the distance between the points, which are the end points of the Hypotenuse.

a and b are the legs and enclose the 90 degree angle. they are the differences of the x and y coordinates between the 2 points.

so,

distance² = (1 - -7)² + (6 - 3)² = 8² + 3² = 64+9 = 73

=>

distance = sqrt(73)

Answer:

The ordered pair is (4,6)

Step-by-step explanation:

Ordered Pairs

It's given the equation

y = x + 2

Since there are no restrictions for the values of x and y, it has infinitely many solutions, i.e. any ordered pair of values (x,y) that make true the equation is a solution.

We can pick any value for x and then calculate the corresponding value for y as follows:

For x = 4,

y = 4 + 2 = 6

The ordered pair is (4,6)

The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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Pieces of information can be gathered from these box plots are:

(a) On average, the basketball players are taller.

(b) The heights of the basketball players vary noticeably, more than field hockey team.

From the given information, we can gather the following pieces of information:

(a) The basketball players are taller on average. This can be inferred from the fact that the median (the vertical line segment within the box) of the basketball team's heights (188 cm) is higher than the median of the field hockey team's heights (163 cm).

(b) The heights of the basketball players vary noticeably more than those of the field hockey team.

This can be inferred from the interquartile range (IQR) of the basketball team's heights, which is from 173 cm to 191 cm (a difference of 18 cm), and the IQR of the field hockey team's heights, which is from 160 cm to 168 cm (a difference of 8 cm).

Additionally, the whiskers of the basketball team's boxplot are longer than those of the field hockey team's boxplot, indicating that there is greater variability in the heights of the basketball players.

Therefore, the correct answers are (a) the basketball players are taller on average and (b) the heights of the basketball players vary noticeably more than those of the field hockey team.

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Answer:

(5m+4)(m+3)

Explanation:

Given the quadratic expression:

To factor the quadratic expression, follow the steps below:

Step 1: Multiply the coefficient of m² and the constant.

Step 2: Find two numbers that multiply to give 60, and add to give the coefficient of m, 19 To do this, list the factors of 60: 1,2,3,4,6,10,15,20,30, and 60.

Step 3: Rewrite the middle term with those numbers.

Step 4: Factor the first two and last two terms separately. Ensure that the expression in the brackets is the same.

The factored form of the expression is:

triangle is the best answer

Answer:

Step-by-step explanation:

Answer:16d

Step-by-step explanation:

Hello~

The answer is C. (3,0)

Hope this helps!

Ary~

a) The exact volume of the mug is given as follows: 275π cm³.

b) Considering π = 3.14, the approximate volume of the mug is given as follows: 864 cm³.

The volume of a cylinder of radius r and height h is given by the equation presented as follows:

V = πr²h.

The parameters for this problem are given as follows:

r = 5 cm, h = 11 cm.

Hence the volume is given as follows:

V = π x 5² x 11

V = 275π cm³.

V = 864 cm³.

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The difference in the proportion of males and the proportion of females that smoke is 0.08

In a sample of 61 males, 15 smoke, while in a sample of 48 females, 8 smoke.

The given parameters are:

                             Male           Female

Sample                  61                  48

Smokers               15                   8

The proportion is calculated using:

p = Smoker/Sample

So, we have:

Male = 15/61 = 0.25

Female = 8/48 = 0.17

The difference is then calculated as:

Difference = 0.25 - 0.17

Evaluate

Difference = 0.08

Hence, the difference in the proportion of males and the proportion of females that smoke is 0.08

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Answer: The average clicks per minute can vary depending on the context in which the clicks are being made.

If we are talking about computer mouse clicks, the average clicks per minute can vary widely depending on the user and the specific task being performed. For example, a user performing a task that involves a lot of clicking, such as gaming, may have a much higher average clicks per minute than a user performing a task that involves minimal clicking, such as reading a document.

According to some online sources, the average clicks per minute for a typical computer user ranges from 5 to 7 clicks per minute for basic tasks such as browsing the web, to as high as 10 to 15 clicks per minute for more demanding tasks such as gaming or video editing. However, these numbers should be taken with a grain of salt as they are based on estimates and may not be accurate for all users.

If we are talking about other contexts such as musical tempo or data entry, the average clicks per minute can also vary widely. For example, the average tempo for a typical song can range from 60 beats per minute (BPM) for a slow ballad to 120 BPM for a fast-paced dance track. Similarly, the average keystrokes per minute for a data entry worker can range from 8,000 to 15,000 keystrokes per hour, depending on the complexity of the data being entered and the typing speed of the worker.

Step-by-step explanation: