if the radius of a ball is 8 cm then calculate its area​

The function f(x) = 10 + x² is a polynomial function, and polynomials are defined for all real numbers. Therefore, the domain of f(x) is (-∞, ∞) in interval notation, indicating that it is defined for all values of x.

1. Domain:

Since f(x) = 10 + x² is a polynomial function, there are no restrictions or limitations on the values of x. Thus, the domain of f(x) is the set of all real numbers.

Domain: (-∞, ∞)

2. Range:

To determine the range of f(x), we consider the behavior of the quadratic term x². Since x² is always non-negative or zero (as squaring any real number yields a positive value or zero), adding 10 to this non-negative or zero value will result in the minimum value of the function.

The minimum value of x² is 0, so adding 10 to it gives us the minimum value of the function, which is 10.

Therefore, the range of f(x) is all real numbers greater than or equal to 10.

Range: [10, ∞)

In summary, the domain of f(x) is all real numbers (-∞, ∞), and the range is all real numbers greater than or equal to 10, [10, ∞).

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Answer:

100 dispenses

Step-by-step explanation:

To check the answer:

Gumballs: 200 - (1*100) = 100

Explanation: 200 gumballs - (1 gumball * 100 dispenses) = 100 gumballs left.

Chocolate Candies: 900 - (8*100) = 100

Explanation: 900 candies - (8 candies * 100 dispenses) = 100 candies left.

Answer:

  100

Step-by-step explanation:

Given a candy machine with 200 gumballs dispensed 1 at a time, and another with 900 chocolates dispensed 8 at a time, you want to know how many dispenses from each will result in equal counts left in the machines.

The number of remaining gumballs after d dispenses is ...

  g = 200 -d

The number of remaining chocolates after d dispenses is ...

  c = 900 -8d

The number remaining in each machine will be equal when ...

  g = c

  200 -d = 900 -8d . . . . . substitute the above expressions

  7d = 700 . . . . . . . . . . add 8d -200

  d = 100 . . . . . . . . . divide by 7

100 dispenses from each machine will make the number of candies in the machines equal.

The new mean of the data-set, with the observation 2 removed, is given as follows:

12.67 attempts.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations.

Removing the observation 2, the data-set is given as follows:

11, 11, 11, 12, 13, 13, 14, 14, 15.

The sum of all these observations is given as follows:

3 x 11 + 12 + 2 x 13 + 2 x 14 + 15 = 114.

There are nine observations, hence the mean of these observations is given as follows:

114/9 = 12.67.

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Answer:

inspector" (and any subsequent words) was ignored because we limit queries to 32 words.

Step-by-step explanation:

hope this is correct!

Answer:

A

Step-by-step explanation:

Apply quotient power rule

\(a {}^{ \frac{1}{3} } - \frac{1}{4} \)

\( {a}^{ \frac{1}{12} } \)

The best answer regarding the effects of carbon monoxide is option c, CO results in less oxygen loading hemoglobin but unloading is not changed.

Carbon monoxide binds up more tightly to the hemoglobin as compared to the oxygen molecules. This reduces the oxygen-carrying capacity of the blood and results in less oxygen loading onto hemoglobin.

However, once oxygen is already bound to hemoglobin, CO does not significantly affect its release or unloading. Therefore, option c is the most accurate statement among the given choices.

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Answer:

24.269

Step-by-step explanation:

Answer:

18,500

Step-by-step explanation:

h

The required value of y for the unit circle is: 2/3

The circle is defined as the locus of a point whose distance from a fixed point is constant i.e center (h, k).

The equation of the circle is given by:

(x - h)² + (y - k)² = r²

where:

h, k is the coordinate of the center of the circle on coordinate plane.

r is the radius of the circle.

Here,

Equation of the unit circle is given as,

x² + y² = 1

Now substitute the given value in the equation,

5/9 + y² = 1

y² = 1 - 5/9

y² = 4/ 9

y = √(4/9)

y = 2/3

Thus, the required value of y for the unit circle is 2/3

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To compute the z-score for the applicant, we can use the formula:

z = (x - μ) / σ

Where:

x is the applicant's score

μ is the mean

σ is the standard deviation

Given that the applicant's score is 21.0, the mean is 18.0, and the standard deviation is -3.0, we can substitute these values into the formula to calculate the z-score.

z = (21.0 - 18.0) / (-3.0)

z = 3.0 / -3.0

z = -1.0

Therefore, the z-score for the applicant is -1.0.

The correct option is O-10.

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Answer: Cindy

Step-by-step explanation:

42/3.5=12 minutes per mile

So Cindy ran faster at 11 minutes per mile

Answer:

Cindy was faster

Step-by-step explanation:

jasmine

42/3.5= 12 miles por hour

(a) Yes, the air in the house would exceed the long-term health standard if the groundwater is in equilibrium with the air in the house.

(b) The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT).

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm.

(a) The Henry's Law constant for TCE is 0.4, which means that the concentration of TCE in air at equilibrium with water is 40% of the concentration in water. The groundwater concentration is 110 ppm, so the equilibrium air concentration would be 44 ppm. This exceeds the long-term health standard of 25 ppm.

(b) The flux of TCE through the floor is given by FT = k(c+ - CT), where k is a measured constant, c+ is the concentration of TCE in the groundwater, and CT is the concentration of TCE in the air in the house. The normal strategy for remediating vapor intrusion is to install fans in the house that ventilate the house with outside air. The outside ambient air has a concentration of ca. The budget equation for TCE is dct/dt = k(c+ - CT) - Q(ca - CT), where dct/dt is the rate of change of the concentration of TCE in the house, k is the flux constant, c+ is the concentration of TCE in the groundwater, CT is the concentration of TCE in the air in the house, Q is the ventilation rate, and ca is the concentration of TCE in the outside air.

(c) The characteristic time t for TCE to build up in the house from zero to unhealthful (long-term exposure) if there is no ventilation is given by t = Ahk/Q, where Ah is the area of the house, k is the flux constant, and Q is the ventilation rate. For the given values, t = 1.4 years. A large value of t indicates a significant TCE problem.

(d) The minimum value of Q to keep CT below 20 ppm is 160 cfm. This is more than the residential requirement of 40 cfm. The difference is due to the fact that the groundwater concentration is much higher than the ambient air concentration.

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Answer: IQR = 16

Step-by-step explanation:

Given the following data:

Cost of concert :

CITY : Q, R, S, T, U, V, W, X, Y, Z

Price : 35,36,42,38, 24,29,25, 44,49, 26

Interquartile range (IQR) = Q3 - Q1

Where,

Q3 = the upper quartile

Q1 = lower quartile

Rearranging the data:

24,25,26,29,35,36,38,42,44,49

Q3 = 42

Q1 = 26

IQR = (42 - 26) = 16

Answer:

18 (for the IQR)

Step-by-step explanation:

Well, follow the equation the other person did. You'd get the right answer if you do the stuff right. And for people where it has another part to it, the answer would be D.

I hope this helps :)

Answer:

The product of 6 numbers is negative only is the number of negatives is odd.

If the number of negative roots is even, then their product will be positive.

The greatest odd number less than 6, is 5. It means the smallest number of positive numbers is 6 - 5 = 1.

So the least number of positive roots is one.

Answer:

24 possible dishes

Step-by-step explanation:

Given

Total

\(Meat = 4\)

\(Cheese = 3\)

\(Bread = 2\)

Selection

\(Meat = 1\)

\(Cheese =2\)

\(Bread = 1\)

Required

Determine the number of possible combo

Rita wants to select 1 of 4 meat types,

So, the number of selections is: \(^4C_1\)

Rita wants to select 2 of 3 cheese types,

So, the number of selections is: \(^3C_2\)

Rita wants to select 1 of 2 cheese types,

So, the number of selections is: \(^2C_1\)

The total number of selections is:

\(Total = ^4C_1 * ^3C_2 * ^2C_1\)

Using

\(^nC_r = \frac{n!}{(n-r)!r!}\)

We have:

\(Total = \frac{4!}{(4-1)!1!} * \frac{3!}{(3-2)!2!} * \frac{2!}{(2-1)!1!}\)

\(Total = \frac{4!}{3!1!} * \frac{3!}{1!2!} * \frac{2!}{(1!1!}\)

\(Total = \frac{4*3!}{3!*1} * \frac{3*2!}{1*2!} * \frac{2*1}{1*1}\)

\(Total = 4* 3 * 2\)

\(Total = 24\)

Hence, there are 24 possible dishes

Answer:

24

Step-by-step explanation:

I did Mathcounts

D. 3.55s - 10 < 5.25s

The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

Now,

Hence, The differences between two samples are more likely to be statistically significant if the samples are and the standard deviations of the samples are: large and the standard deviations of the samples are small.

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Answer:

whichever one corresponds with the answers you have will be right.

Answer:

h(-3)=-1

Step-by-step explanation:

h(x)=-3x - 10

Let x = -3

h(-3)=-3(-3) - 10

      = 9-10

       =-1

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

Answer:

D; 27,719

Step-by-step explanation:

En primer lugar, debemos entender que hay varios arreglos que podrían funcionar para que él venda estas bolas.

Ha optado por vender las bolas en un arreglo particular. Lo que esto significa es que hay varios otros arreglos que podría elegir para vender estas bolas.

En términos matemáticos, el número de arreglos en los que puede vender las bolas sin ninguna restricción es;

12! / (3! * 4! * 5!) = 27,720

Dado que en la pregunta, ha seleccionado solo un tipo de arreglo;

El número de arreglos que no se seleccionan será; 27,720 -1 = 27,719

Answer: ask your teacher

Step-by-step explanation:u have to multiply

Answer:

slope =x2-x1/y2-y1

= 0-6/4-0

=-6/4

Answer:

The one on the very top left corner is the right one.

Step-by-step explanation:

It shows the exact data that you were looking for: ten small apples were green and 3 out of the 12 large apples were red.

Therefore, the correct gradient vector field plot for f(x, y) = 9x^2 + 9y^2 is Plot B.

To match the function f(x, y) = 9x^2 + 9y^2 with the correct gradient vectorfield plot, we need to determine the gradient vector field of the function first.

The gradient of a function is a vector that points in the direction of the maximum increase of the function and whose magnitude is the rate of change in that direction. In other words, the gradient vector points in the direction of steepest ascent.
To find the gradient of f(x, y) = 9x^2 + 9y^2, we need to take the partial derivatives of the function with respect to x and y:
∂f/∂x = 18x
∂f/∂y = 18y
So, the gradient vector of f(x, y) is given by:
grad(f) = (18x, 18y)
Now, we need to plot the gradient vector field of f(x, y) using this vector. The gradient vector field represents the direction and magnitude of the gradient at every point in the x-y plane.
In this case, since the magnitude of the gradient vector is a constant value of 18, we can use the same length for all the arrows.

Now, let's consider the following plots of gradient vector fields:

Plot A:

- The arrows are pointing outward from the origin.
- The arrows are evenly spaced and have the same length.
- The magnitude of the gradient is constant everywhere.

Plot B:

- The arrows are pointing outward from the origin.
- The arrows are closer together near the origin and become farther apart as we move away from the origin.
- The magnitude of the gradient is increasing as we move away from the origin.

Plot C:

- The arrows are pointing in different directions.
- The arrows are closer together near the origin and become farther apart as we move away from the origin.
- The magnitude of the gradient is increasing as we move away from the origin.

Now, let's analyze each plot in relation to the function f(x, y) = 9x^2 + 9y^2:

- Plot A cannot be the correct gradient vector field for f(x, y) because the magnitude of the gradient is constant everywhere, while the function f(x, y) is increasing as we move away from the origin.
- Plot B could be the correct gradient vector field for f(x, y) because the magnitude of the gradient is increasing as we move away from the origin, which matches the behavior of the function f(x, y).
- Plot C cannot be the correct gradient vector field for f(x, y) because the arrows are pointing in different directions, which means that the gradient is not pointing in the direction of steepest ascent.
Therefore, the correct gradient vector field plot for f(x, y) = 9x^2 + 9y^2 is Plot B.

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Answer:

11/20 ; 0.55

Step-by-step explanation:

11= 20x

20x= 11

x= 11/20 ; 0.55

Answer:

x = −9

Step-by-step explanation:

Step 1: Simplify both sides of the equation

11 = x + 20

Step 2: Flip the equation

x + 20 = 11

Step 3: Subtract 20 from both sides

x + 20 − 20 = 11 − 20

x = −9

we have

x^2+24x=50

complete the square

(x^2+24x+12^2-12^2)=50

x^2+24x+144=50+144

(x+12)^2=194

therefore

Answer:

25cm

Step-by-step explanation:

...................

Answer:

25

Step-by-step explanation:

perimeter of square= 20

then each side= 20/4=5

Therefore each length of square is 5cm

since one side is being shared and it's a regular pentagon, whatever the length of one side of square will be equal to each side of Pentagon.

So side of pentagon is 5.

then perimeter is 5×5 =25 cm

Answer:

93.47

Step-by-step explanation:

100-6.53=93.47

A high correlation is insufficient to establish causation on its own.