Mean median range and midrange of 24, 32, 25, 24, 30, 30, 24

Answer:

18,27, putting 3 fives instead of 5 3s.

Step-by-step explanation:

Answer:

240

Step-by-step explanation:

360 minus 120 degree give 240 degree

Answer: 60

Step-by-step explanation:

120/2= 60

Answer:

81

Step-by-step explanation:

f ( x ) = ( x - 3 )² + 17

To find : f ( - 5 )

f ( - 5 ) = f ( x )

Here,

x = - 5

f ( - 5 ) = ( - 5 - 3 )² + 17

          = ( - 8 )² + 17

          = 64 + 17

f ( - 5 ) = 81

Answer:

D

Step-by-step explanation:

Is just 9/11 x 2

ajnansjs

Answer:

Option D is correct

Step-by-step explanation:

9/11=x/22

(9/11)×22=x

18=x

or. x=18

In programming, the increment and decrement operations can be performed using the ++ and -- operators, respectively.

However, these operators cannot be directly applied to an enumeration type, as enumeration types represent a distinct set of named constants rather than numeric values. To achieve the desired outcome, you can use a typecast to convert the enumeration type to an underlying integral type, such as int, perform the increment or decrement operation, and then convert it back to the original enumeration type.

This way, you can modify the enumeration value while preserving the context and intent of the enumeration in your code.

For example, if you have an enumeration type named "DaysOfWeek", and you want to increment the value of a variable of this type, you can use the following code:

DaysOfWeek day = DaysOfWeek.Monday;
day = (DaysOfWeek)((int)day + 1);

This code first typecasts the enumeration value to an int, adds 1 to it, and then typecasts it back to the DaysOfWeek enumeration type. Similar code can be used for decrementing the value using the -- operator.

Keep in mind that this method may not always be ideal, as it can lead to invalid enumeration values if the new value does not correspond to a named constant in the enumeration. Always ensure that you are working within the valid range of values when using this approach.

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Answer:

  1244.3 square units

Step-by-step explanation:

The area of a composite figure can be found by decomposing it into its parts, then adding the areas of those parts. This figure can be decomposed into a square of side length 22 units, and two circles, each with radius 11 units.

The area of a square is the square of its side length.

  A = s²

  A = 22² = 484 . . . . square units

The area of a circle is given by the formula ...

  A = πr²

  A = π(11²) = 121π

The area of the two circles is twice this value, or ...

  2A = 2(121π) = 242π ≈ 760.3 . . . . square units

The area of the figure is the sum of the areas of its parts:

  total area = square area + area of circles

  total area = 484 +760.3 = 1244.3 . . . . square units

\(\text{Given that,}\\\\f(x) = 7x^2\\\\f'(x) = 7\cdot 2 x = 14x\\\\\text{At x = 12,}\\\\f'(12) = 14 \times 12 = 168\)

To solve the integral of 1/sqrt(x^2 - a^2) dx, we can use the substitution method. Let u = x^2 - a^2, then du/dx = 2x, and dx = du/2x.
Substituting into the integral, we get:

∫ 1/sqrt(x^2 - a^2) dx = ∫ 1/sqrt(u) * du/2x
= (1/2) ∫ 1/sqrt(u) du  

= (1/2) * 2sqrt(u) + C
= sqrt(x^2 - a^2) + C

Therefore, the answer to the integral of 1/sqrt(x^2 - a^2) dx is sqrt(x^2 - a^2) + C, where C is the constant of integration.

In summary, the integral of 1/sqrt(x^2 - a^2) dx can be solved using the substitution method, where u = x^2 - a^2. The final answer is sqrt(x^2 - a^2) + C, where C is the constant of integration.

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The integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

What is intergration?

Integration is a fundamental concept in calculus that involves finding the antiderivative or integral of a function. It is the reverse process of differentiation, which is concerned with finding the derivative of a function.

To find the integral of \(1/\sqrt(x^2 - a^2) dx\), we can use a trigonometric substitution. Let's substitute \(x = a sec(\theta)\), where \(sec(\theta)\) is the reciprocal of the cosine function.

By making this substitution, we can express dx in terms of \(d(\theta)\) as follows:

\(dx = a sec(\theta) tan(\theta) d(\theta)\)

Now, let's substitute these values into the integral:

\(\int \frac{1}{\sqrt{x^2 - a^2}} dx\\\\= \int \frac{1}{\sqrt{(a \sec(theta))^2 - a^2}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\sec^2(theta) - 1)}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{\sqrt{a^2(\tan^2(theta))}} (a \sec(\theta) \tan(\theta)) d(\theta)\\\\= \int \frac{1}{a \tan(theta)} (a \sec(\theta) \tan(\theta)) d(\theta)\)

Simplifying the expression, we have:

\(= \int \sec(\theta) d(\theta)\)

The integral of \(sec(\theta)\) can be evaluated as the natural logarithm of the absolute value of \(sec(\theta)\) plus the tangent\((\theta)\):

\(= \ln|\sec(\theta) + \tan(\theta)| + C\)

Finally, substituting back \(x = a sec(\theta)\), we get:

\(= \ln|\sec(\theta) + \tan(\theta)| + C\\\\= \ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\)

Therefore, the integral of \(\frac{1}{\sqrt{x^2 - a^2}} dx\) is \(\ln\left|\frac{\sqrt{x^2 - a^2}}{a} + \frac{x}{a}\right| + C\), where C is the constant of integration

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The correct statement is: the volume of the cylinder is 8 cubic inches more than that of the cone.

The volume of cone (V) = 1/3 * πr²h

Volume of cylinder (V) = πr²h

Where, r is the radius of their bases.

The base area formula for the cone = πr²

Calculate the area of the base of the cone that has a radius (r) of 2.5 in:

Area of the base of the cone = π(2.5)² ≈ 19.6

The volume of the cone (V) = 1/3 * πr²h = 1/3 * π * 2.5² * 6.5

≈ 42.5 cubic inches

Volume of cylinder (V) = πr²h = π * 2² * 4

≈ 50.3 cubic inches

The difference in volume = 50.3  - 42.5

= 7.8 ≈ 8 cubic inches

Therefore, the only statement that is true is: the volume of the cylinder is 8 cubic inches more than that of the cone.

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Answer:

80 and 9 in that order.

Step-by-step explanation:

Answer:

the required slope of the points is -1...

Answer:

45 - x

Step-by-step explanation:

Number of learners is number in class minus those absent , that is

number of learners = 45 - x

Answer:

56.2

Explanation:

There is a way to remember the ways to solve for right triangles, SOH CAH TOA which stands for each of the ways to solve for angles or sides:

Sine: Opposite over Hypotenuse

Cosine: Adjacent over Hypotenuse

Tangent: Opposite over Adjacent

In this case, with the information we have, we would use tangent since we have both the opposite side, b, and the adjacent side, a.

It would be the inverse of tangent (tan⁻¹) since you are solving for the angle and not a side.

You would use a calculator to solve this, by dividing b by a.

tan⁻¹(b/a)

tan⁻¹(46.7/31.3) = 56.1686012868

Round to the nearest tenth = 56.2

*Make sure your calculator is in degrees mode or it will give you an incorrect result.

Answer:

CD = 156

Step-by-step explanation:

132 / 55 = 2.4

120 / 50 = 2.4 (for clarification)

65 x 2.4 = 156

Answer:

156

Step-by-step explanation:

IF they are propeirtional we can make the equation

\( \frac{132}{55} = \frac{x }{65} \)

which gives us 156

There is 5 total. Umbers and 3 of them are odd.

The probability of getting odd is the number of odd over total numbers:

Probability of odd = 3/5

Answer:

P ( odd) = 3 / 5

Step-by-step explanation:

Total number = 3 + 2 = 5

Odd number = 3

P ( odd )= 3 / 5

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

A score that is 3 standard deviations above the mean is consider as a very high score relative to the rest of the scores in the population.

The term "standard deviation" (or "") refers to a measurement of the data's dispersion from the mean. A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed.

The sum of all values divided by the total number of values determines the mean  of a dataset.

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Angles of a polygon add to 360 degrees. To find the measure of each exterior angle of a regular n-gon. divide 360 by n.

Answer:

Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.

Your answer would be D, the equation is a function because it is a polynomial and all polynomials are functions.

Step-by-step explanation: I like to remember that polynomials have no negative , fraction exponents and no division. In this case everything is positive so I knew it was a polynomial , and like the answer says all polynomials are functions ! Hope this helped

Answer:

6 / 2   or   3

Step-by-step explanation:

y2 - y1

_____      =     (9 - 3) / (6 - 4) = 6 / 2 = 3

x2 - x1

Answer:

C=x+200

the y intercept is 200.

the y intercept represents $200 after 0 phones

Answer:

sorry. this is incorrect

Answer:

The answer is D. x + 3

Step-by-step explanation:

The factors of 5x2 + 14x - 3 are:

(5x-1) and (x+3)

Answer: 14 hours

Step-by-step explanation:

Let the number of hours of TV that Jamie watched be represented by x.

Since Roberto watched 5 more hours of tv than Jamie last week, therefore the number of hours of TV that Roberto watched will be: x + 5

Together, they watched a total of 23 hours of tv last week. Therefore,

x + (x + 5) = 23

2x + 5 = 23

2x = 23 - 5

2x = 18

x = 18/2

x = 9

Jamie watched 9 hours of TV

Therefore, Roberto watched x+ 5 = 9 + 5 = 14 hours

Answer: B. 2∛3

Step-by-step explanation:

\(24^\frac{1}{3}\) is equivalent to ∛24. This can actually be simplified. We can use prime factorization to simplify the cubed root.

                                                               24

                                                               /  \

                                                              2  12

                                                                  /  \

                                                                2    6

                                                                      /  \

                                                                    2    3  

From this prime factorization tree, we want to find a group of 3. The same number that appears 3 times.

We see that there are 3 2's. They are bolded above. Since there is a group of 3, we can pull the 2 out of the cubed root, as we are left with a 3 inside (underlined above).

Our final answer is 2∛3.

Justin's family is going to relax at the beach all day, and Justin has made sandwiches for them to eat when they get hungry.

Justin put 3 slices of turkey and 3 slices of ham on each sandwich. The ingredients that Justin used for the sandwiches are turkey and ham which are high in protein. The protein from turkey helps to build and repair muscle and tissue, while the protein from ham helps to maintain muscle mass and improve bone health.

These sandwiches are a good source of energy and are perfect for a day at the beach because they will keep Justin and his family feeling full and satisfied throughout the day. In addition, the sandwich is a portable food, which makes it easy to eat while enjoying other beach activities. Justin did a good job in preparing food that is both healthy and tasty for his family.

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Answer:

Step-by-step explanation:

If we complete the shape it will be square of side of 8 miles.

The added part is a rectangle of 5×2 miles.

The figure will have the area of their difference:

Answer:

1/3000

Step-by-step explanation:

3 meters to centimeters:

3 × 100 = 300

= 1/10 ÷ 300

= 1/10/300

= 1/(10×300)

= 1/3000

Line segment is a a measurable part of a line that consists of two points, called endpoints.

a coordinate system is a system that uses one or more numbers, or coordinates, to uniquely determine the position of the points or other geometric elements on a manifold such as Euclidean space.

Given that measurable part of a line that consists of two points, called endpoints is a line segment.

A line segment is a part of a straight line that is bounded by two distinct end points, and contains every point on the line that is between its endpoints.

Hence, line segment is a a measurable part of a line that consists of two points, called endpoints.

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