Find the difference between the square of the sum and the sum of the squares of the first one hundred natural numbers.

The measure of the central angle for the slice of the pie chart representing sleep is 30 degrees.

To find the measure of the central angle of the slice representing sleep, we need to know what percentage of the 24 hours was spent sleeping.

If Burt slept for 2 hours, then the remaining time he was awake for 24 - 2 = 22 hours.

Therefore, the percentage of time spent sleeping is

2 / 24 * 100% = 8.33%

To convert this percentage to an angle in degrees, we use the formula

Angle = Percentage * 360

So, the central angle of the slice representing sleep is

8.33% * 360 = 30 degrees (rounded to the nearest degree).

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Answer:

Step-by-step explanation:

Answer:

points needed hope you under stand

Step-by-step explanation:

stay safe though

Answer:

3,036

Step-by-step explanation:

x=12*253

Answer:

BR=9.8

Step-by-step explanation:

a²+b²=c²

5.2²+b²=11.1²

27.04+b²=123.21

b²=96.17

b=\(\sqrt{ 96.17}\)

b=9.8

Answer:

anything above 12

Step-by-step explanation:

would be greater than 12. 13, 14, 16...etc

Answer:

n > 12

Step-by-step explanation:

Represent the number by n.  Then "a number is greater than 12" expressed symbolically is n > 12.

The equation of the graphed function is given as follows:

f(x) = x³ + 2x² - 5x - 6.

The equation of the function is obtained considering the Factor Theorem, as a product of the linear factors of the function.

From the graph, the zeros of the function are:

Hence the function is:

f(x) = a(x + 3)(x + 1)(x - 2).

In which a is the leading coefficient.

Expanding the product, we have that:

f(x) = a(x² + 4x + 3)(x - 2)

f(x) = a(x³ + 2x² - 5x - 6).

When x = 0, y = -6, hence the leading coefficient a is obtained as follows:

-6a = -6

a = 1.

Hence the function is:

f(x) = x³ + 2x² - 5x - 6.

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Answer:

3

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

constant: a number that has no variable bounded to it (very lonely number)

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

4x-2y+3

constant: 3 (it does not have any variable)

Hope this helps!! :)

Please let me know if you have any question or need further explanation

Answer:

hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh

Step-by-step explanation:

Answer:

B. The function shown on the graph has a smaller rate of change but a higher starting point

Step-by-step explanation:

Question options obtained from a similar question are;

A. The function shown on the graph has a greater rate of change and a higher starting point

B. The function shown on the graph has a smaller rate of change but a higher starting point

C. The function shown on the graph has a greater rate of change but a lower starting point

The function shown on the graph has a smaller rate of change but a higher starting point

Explanation;

The given function with which the graph is compared is y = 4·x + 2

From the given function, we have;

The rate of change of the function is the coefficient of 'x', therefore, the rate of change of the function = 4

When y = 0, 4·x + 2 = 0,

∴ x = -2/4 = -0.5

The y-intercept is given when x = 0

∴ The y-intercept, y = 4 × 0 + 2 = 2

The starting point of the function, is (0, 2)

From the graph, we have;

The y-intercept = (0, 4)

Therefore, the starting point of the line, the y-intercept, (0, 4), is higher than the starting point of the given function, (0, 2)

The coordinates of two (clear) points on the line in the graph are (0, 4) and (-2, -2)

The rate of change of the line, m = (4 - (-2))/(0 - (-2)) = 3

Therefore, the graph has a lesser rate of change, 3, than the rate of change of the given function, 4

When compared with the given function, 'the function shown on the graph has a smaller rate of change and a higher starting point'.

Answer:

option a

Step-by-step explanation:

in figure 1: 4n+8 = 4×1=4+8=12

figure 2:4n+8 =4×2=8+8=16 and so on

Answer:

\(10\sqrt{3}\)

Step-by-step explanation:

One is given the following expression:

\(\sqrt{30}*\sqrt{10}\)

One property of multiplying square roots is that one can multiply the numbers under the radical by each other, and then put the radical on top of the result. The following is an example of this general format of this property:

\(\sqrt{a}*\sqrt{b}=\sqrt{ab}\)

Apply this to the real problem:

\(\sqrt{30}*\sqrt{10}=\sqrt{30*10}\)

Simplify,

\(\sqrt{30*10}=\sqrt{300}\)

Rewrite as (300) as the product of two numbers, such that one number is a perfect square:

\(\sqrt{300}=\sqrt{3*10^2}\)

Simplify, take a term out of the radical:

\(\sqrt{3*10^2}=10\sqrt{3}\)

Aggregates is distorts the effectiveness of charting data points. So the option d is correct.

In the given question, we have to select which of the following, when included, distorts the effectiveness of charting data points.

Charts are a quick and efficient way to communicate information to your audience. If the charts are properly created, that is.

A lot goes into creating the ideal visual material, and it's simple to let some components slip. Charts that are hurriedly created are frequently more detrimental than beneficial.

We've compiled a list of useful do's and don'ts to bear in mind while building your own data representations, whether they take the shape of straightforward bar charts and graphs or more intricate interactive visualizations, in order to help you prevent this.

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Answer:

1 1/2 sheets

Step-by-step explanation:

7/3 x = 7/2

x=3/2

Answer:

The modal age is 11

The range is the highest minus the Lowe's which is 19-9=10

The mean and standard deviation of the random variable X, representing the Apgar score of a randomly selected newborn baby, can be calculated using the given probability distribution table. The mean is a measure of the average score, while the standard deviation indicates the variability or spread of the scores.

To calculate the mean, multiply each score by its corresponding probability and sum the results. For example, if the Apgar score is 0, the probability is 0.05. If it is 1, the probability is 0.10, and so on. Multiply each score by its respective probability and sum the products. This will give you the mean.

The standard deviation is a bit more complex to calculate. First, subtract the mean from each score, square the differences, multiply them by their respective probabilities, and sum the products. Then, take the square root of this sum. The result is the standard deviation.

Interpreting the mean, it represents the expected average Apgar score of the randomly selected newborns based on the given probability distribution. The standard deviation, on the other hand, provides a measure of the variability or spread of the Apgar scores around the mean. A higher standard deviation indicates a wider range of scores, suggesting more variability in the newborns' conditions at birth.

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Answer:

Step-by-step explanation:oooooooooooooooooooooooooooooooooooooo

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Answer:

C.8/27

Step-by-step explanation:

Answer:

x=15 y=3

Both (4x+10y) and (6x) equal 90 degrees, as angle 4x+10y is vertical to a 90 degree right angle, and angle 6x is directly  beneath the right angle, making it equivalent. To find x, you simply do 90/6, which is 15, meaning x=15. Now plug in that into 4x+10y=90, which will make it 60+10y=90. Subtract 60 from 90, and divide the difference, 30, by 10, giving you 3, thus showing that y=3. You can double check by plugging in the x and y values.

the answer in factored form is (2x+5) (x-1)

Answer: 47

Step-by-step explanation:

You simplify it giving you 47

Answer:

f(3)=11

Step-by-step explanation:

3(3)^2=27

-6(3)=-18

27-18+2=11

The required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12).

What is differentiation ?

In math, isolation is one of the two important generalities piecemeal from integration. Isolation is a system of chancing the outgrowth of a function. Isolation is a process, in Maths, where we find the immediate rate of change in function grounded on one of its variables. The most common illustration is the rate change of relegation with respect to time, called haste. The contrary of chancing a outgrowth isanti-differentiation.

still, also the rate of change of x with respect to y is given by dy/ dx, If x is a variable and y is another variable. This is the general expression of outgrowth of a function and is represented as f'( x) = dy/ dx, where y = f( x) is any function.

Let the two number is x and y

According to given question.

Sum of two number =24

x+y=24

Then, y=24−x.......(1)

Again, product

 P=maximum=x × y

P=x(24−x 2)

P=24x−24x^2  .......(2)

We know that,

For maximum value

dP/dx =0

Now differentiating equation (2) with respect to x and we get,

dP/dx  =24−2x

⇒ 24−2x=0

⇒ 2x=24

⇒x=12

Again, differentiating equation (2) with respect to x and we get,

\(\frac{d^2p}{dx^2} = -2 < 0\)

Then,P is minimum at point x=12

Hence, the required  numbers is x=12 and y=24−x=24−12=12 i.e.(12,12)

This is the solution.

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Answer: $160.16

Step-by-step explanation:

$154 is equal to 100%. They way I do it for smaller percents (like 1% -10%) is I find 1% of the number by dividing by 100. In this case, that is $1.54. To find 4%, you multiply that 1% by 4 to get $6.16. By adding that 4% to the 100% you get 104%, or the total price including tax, which is $160.16.

Answer:8

Step-by-step explanation

Answer:

\(\frac{4}{8}\)=\(\frac{50}{100}\)

Step-by-step explanation:

Answer:

The answer in fraction is -1.6

Câu trả lời ở dạng phân số là -1.6

Step-by-step explanation:

Answer:

2/5 - 8/4 = 8/20 - 40/20 = -32/20

kết quả là -32/20

Answer:

8

Step-by-step explanation:

The value of the amplitude is always positive and it tends to be number in front of the cosine function so for example by using the form 'a.cos(bx - c) + d', we can know that the amplitude is the number in front of the function so its 'a'

The cells that secrete nerve growth factors that stimulate outgrowth of severed axons are neurolemmocytes. therefore option a. neurolemmocytes is correct.

Neurolemmocytes, also known as Schwann cells, are cells that surround and support neurons in the peripheral nervous system.

They play a vital role in the regeneration of damaged axons by secreting nerve growth factors that stimulate outgrowth of severed axons, as well as by forming a path for new axonal growth during the healing process.

They also provide insulation to axons, which is essential for efficient conduction of nerve impulses.

Therefore, neurolemmocytes play a critical role in the proper functioning of the peripheral nervous system.

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Answer:

it -8 2÷-14=-7 x=-7

-7+-1=-8

Answer:

the answer is 48 cubic inches please mark me as brainliest please