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The built-in data type that stores only whole numbers is int data type

Built-in data types are the data  types used to declare and store the variables in the program, They are also known as primary data types

Int data type is a data type that can store the whole number. The range of int data type is from -2147483648 to 2147483647.

Here,

Here the condition is a built-in data type stores only whole numbers

So, the int data types satisfy these conditions

Hence, the built-in data type that stores only whole numbers is int data type

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The 21 square root of 98 divided by 7 square root of 21 = 21√98 / 7√21 = 6.4807407

A square root of a number x is a number y such that y2 = x; in other words, a number y who's square and the result of multiplying the number by itself, or y ⋅ y, is x.

Every nonnegative real number x has a unique nonnegative square root, called the principal square root, which is denoted by √where the symbol √ is called the radical sign.

Every positive number x has two square roots: √ which is positive, and -√ which is negative. The two roots can be written more concisely using the ± although the principal square root of a positive number is only one of its two square roots, the designation "the square root" is often used to refer to the principal square root.

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Answer:

Yes.

Step-by-step explanation:

You can always tell if fractions are equivalent by division.

Can 12 be divided by 4?

12 ÷ 4 = 3

So far, they are equivalent.

Can 21 be divided by 7?

21 ÷ 7 = 3

Therefore, this makes the fraction equivalent because 4 can go into 12 equally and 7 can go into 21 equally.

Answer:

Area of the rectangle: 24 cm²

Area of the circle: 380.13 cm²

Area of between the circle and the rectangle: 356.13 cm²

Step-by-step explanation:

Answer:

397.39

Step-by-step explanation:

The correct option that indicates how Christa sliced the rectangular pyramid is the second option.

Christa sliced the pyramid perpendicular to its base through two edges.

A rectangular pyramid is a pyramid with a rectangular base and four triangular faces.

The height of the cross section indicates that the location where Christa sliced the shape is lower than the apex of the pyramid.

The trapezoid shape of the cross section of the pyramid indicates that the top and base of the cross section are parallel, indicating that Christa sliced the pyramid parallel to a side of the base of the pyramid, such that it intersects two of the edges of the pyramid

The correct option is therefore the second option;

Christa sliced the pyramid perpendicular to its base through two edges

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The mean for the population of scores shown in the frequency distribution table x f 5 1 4 2 3 3 2 4 1 2 is 2.67. This means that the population's average score is 2.67.

The formula for calculating the mean (sometimes known as the average) of a population of scores is:

(sum of all scores) / mean (total number of scores)

We must first obtain the total of all scores in order to compute the mean of the population of scores indicated in the frequency distribution table. To do this, we multiply each score by its frequency (f) and then sum the results. For example, the product of 5 and 1 (the frequency) for the score 5 is 5. The product of 4 and 2 (the frequency) with the score 4 is 8. We repeat this process for all scores, then add up all the products to get the total score.

The sum of all scores is then divided by the entire number of scores, yielding the sum of all frequencies.

The mean is determined using the data from the frequency distribution table as follows:

(5 * 1 + 4 * 2 + 3 * 3 + 2 * 4 + 1 * 2) / (1 + 2 + 3 + 4 + 2) = (5 + 8 + 9 + 8 + 2) / 12 = 32 / 12 = 2.67

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Answer:

\(20a - 30b \\ \\ 10(2a - 3b)\)

it's was helpful to you

Answer:                        ✶                      ✶                 ✶             ❊            ✺    ❉

Step-by-step explanation:                   ✥                ✧               ✥           ✸

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a) To find the extreme points and determine if they are minimum or maximum, we need to take the derivative of the function and set it equal to zero.

a) f(x) = x^2 + x - 6

Taking the derivative:

f'(x) = 2x + 1

Setting it equal to zero and solving for x:

2x + 1 = 0

2x = -1

x = -1/2

To determine if it is a minimum or maximum, we can examine the concavity of the function. Since the coefficient of x^2 is positive (1), the function opens upward and the critical point at x = -1/2 is a minimum.

b) f(x) = x^3 + x^2

Taking the derivative:

f'(x) = 3x^2 + 2x

Setting it equal to zero and solving for x:

3x^2 + 2x = 0

x(3x + 2) = 0

This gives two critical points:

x = 0 and x = -2/3

To determine if they are minimum or maximum, we need to examine the concavity of the function. Since the coefficient of x^3 is positive (1), the function opens upward. The critical point at x = 0 is a minimum, while the critical point at x = -2/3 is a maximum.

b) Graphical method:

To solve the problem graphically, we will draw a graph representing the constraints and find the feasible area. Then we will identify the corner point feasible solutions (CPFS) and determine if there is an optimal solution.

a) Maximize subject to:

x1 + x2

2x1 + 5x2 <= 5

x1 + x2 <= 5

3x1 + x2 <= 15

x1, x2 >= 0

b) Minimize subject to:

x1 + x2

-x1 + x2 <= 5

x2 <= 3

3x1 + x2 >= 7

x1, x2 >= 0

Unfortunately, the given optimization problems are incomplete as there are no objective functions specified. Without an objective function, it is not possible to determine an optimal solution or solve the problem graphically.

Please provide the objective function for the optimization problems so that we can proceed with the graphical solution and find the optimal solution, if any.

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a) The extreme point for the function f(x) = x² + x - 6 is a minimum point.

b) The extreme point for the function f(x) = x³ + x² is neither a minimum nor a maximum point.

Step 1: For the function f(x) = x² + x - 6, to find the extreme points, we can take the derivative of the function and set it equal to zero. By solving for x, we can identify the x-coordinate of the extreme point. Taking the second derivative can help determine if it is a minimum or maximum point. In this case, the extreme point is a minimum because the second derivative is positive.

Step 2: For the function f(x) = x³ + x², finding the extreme points follows the same process. However, after taking the derivative and solving for x, we find that there are no critical points. Without any critical points, there are no extreme points, meaning there are no minimum or maximum points for this function.

In summary, for the function f(x) = x² + x - 6, the extreme point is a minimum, while for the function f(x) = x³ + x², there are no extreme points.

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Seema left 6/11 of the book for reading over the weekend.

To calculate the part of the book left for reading during the weekend, we need to subtract the part of the book Seema read during the weekday from the total book.

If Seema reads 5/11 of the book during the weekday, then:

This means 6/11 of the book is left for reading during the weekend. It is important to note that the fraction of the book read during the weekday and the fraction left for reading during the weekend add up to the total book. This means that 11/11 of the book will be read by Seema in total.

This question should be written as:

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A: the average amount of cashews per bag to determine average cost

C: the amount of variation in ounces of cashews in the bags of trail mix

D: which factory produces the most consistent ounces of cashews in each bags of trail mix

The average amount of cashews per bag is important to determine the average cost of the trail mix. The production manager can use this information to ensure that the company is making a profit.

The amount of variation in ounces of cashews in the bags of trail mix is also important. The production manager can use this information to ensure that the bags of trail mix are consistent.

Finally, the production manager can use the information about which factory produces the most consistent ounces of cashews in each bag of trail mix to make decisions about which factory to use.

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Great Granola makes a trail mix consisting of peanuts, cashews, raisins, and dried cranberries. The trail mix sells for $3.50, and the most expensive ingredient is the cashew. The production manager takes a random sample of 15 bags of trail mix from two factories to determine the amount of cashews in each bag. What statistical information could be useful to the production manager?

A: the average amount of cashews per bag to determine average cost

C: the amount of variation in ounces of cashews in the bags of trail mix

D: which factory produces the most consistent ounces of cashews in each bags of trail mix

The number of hours that Jing spent on each subject will be;

Mathematics = 5.36 hours

Chemistry = 10.72 hours

History = 71.32 hours

Let the number of hours spent on Mathematics = x

Chemistry = 2x

History = 4(2x + x) + 7 = 12x + 7

Total hours = 82 hours

Therefore, the time used for each will be illustrated:

x + 2x + 12x + 7 = 82

14x + 7 = 82

14x = 82 - 7

14x = 75

x = 75 / 14

x = 5.36 hours

Mathematics = x = 5.36 hours

Chemistry = 2x = 2 × 5.36 = 10.72 hours

History = 4(2x + x) + 7 = 12x + 7 = 71.32 hours

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Answer:

tan A = ± 1/√3 or ± 0.58

Step-by-step explanation:

2 ways to solve this question.

1. cos 2A = 1/2       2A = 60° or 300° or 420° or ....

   A = 30° or 150° or 210° ....

  tan A = tan 30° or tan 150° or ... = ± 1/√3

2. cos 2A = 2 cos²A - 1        1/2 = 2 cos²A - 1     cos²A = 3/4

   cos 2A = 1 - 2 sin²A         1/2 = 1 - 2 sin²A       sin²A = 1/4

   tan²A = sin²a/cos²A = (1/4) / (3/4) = 1/3

   tan A = ± 1/√3 or ± 0.58

Answer:

see explanation

Step-by-step explanation:

The triangular prism has 3 rectangular faces and 2 congruent triangular faces.

rectangular base CDEF = 8 × 2 = 16 cm²

rectangular side ABFE = 6 × 2 = 12 cm²

sloping rectangle ABCD = 10 × 2 = 20 cm²

2 triangular faces = 2 × \(\frac{1}{2}\) × 8 × 6 = 48 cm²

Total surface area = 16 + 12 + 20 + 48 = 96 cm²

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

The volume (V) of the prism is calculated as

V = Bh ( B  is the area of triangular face and h the depth of the prism )

B = \(\frac{1}{2}\) × 8 × 6 = 24 cm² and h = 2 cm

V = 24 × 2 = 48 cm³

Answer:

Step-by-step explanation:

orms of volunteering can be applied to the different roles that people take within ... volunteer motivations and looks to develop a typology of sports volunteers. ... diversity for their effectiveness as a policy tool and for government support. ... International Journal of Sport Policy and Politics 4, 2, 187–200 . ... text, however. For .

Answer:

BD

AC

SN       (might not be one)

AB

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

there are two numbers greater than 4, 5 and 6

so the probability is 2/6 or 1/3

Answer: There is an 1/3 chance of landing on a number greater than 4.

Step-by-step explanation: Divided into thirds to be made simpler 1/3 is 1-2, 2/3 is 3-4, and 3/3 (or the last third) is 5-6 (the number(s) greater than 4)

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The value of x in the diagram is 9

equilateral triangle is a triangle that has all its sides equal in length. Since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure. Therefore, it is also called an equiangular triangle, where each angle measure 60 degrees. Just like other types of triangles, an equilateral triangle also has its area, perimeter and height formula

From the diagram all the sides are equal which means it is an equilateral triangle in which each angle is equal to 60°

To find x,

7x -3 = 60

7x = 60 + 3

7x = 63

x = 63/7

x = 9

In conclusion the value of x is 9

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-1/7, since parallel lines have equal slopes.

Using Pythagorean theorem

\(\\ \sf\longmapsto BC^2=AB^2+AC^2\)

\(\\ \sf\longmapsto BC^2=7^2+3^2\)

\(\\ \sf\longmapsto BC^2=49+9\)

\(\\ \sf\longmapsto BC^2=58\)

\(\\ \sf\longmapsto BC=\sqrt{58}\)

Function transformation involves changing the form of a function

The function that represents the three hills is given as:

\(f(x) = (x - 1)(x -3)(x -4)\)

The above function represents the base equation.

When the function is then transformed, we have:

\(g(x) =- (x - 1)(x -3)(x -4) + 3\)

The first mistake in teen 1's design is that, the function f(x) has 3 x-intercepts

For the function to have three peaks, then the function must have three different vertices

A function with three x intercepts will have three zeros.

However, these three zeros does not mean the function has three peaks i.e. three vertices

Also, the transformed function g(x) is simply a reflection of f(x) across the x-axis, and a vertical shift up by 3 units.

This also does not mean that the function has three peaks

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Answer: Total cost of their meal is $78

Step-by-step explanation: 20% of 65 is a 13 dollars tip adding up to a total of $78

65*0.2 = 13

65+13=78

Answer:

1/5 divided by 3 is 1/15

Step-by-step explanation:

Answer:

D. one fifteenth

Step-by-step explanation:

a) To obtain the potential pressure drop in the wellbore, we can use the hydrostatic pressure equation.

The potential pressure drop is equal to the pressure gradient multiplied by the length of the wellbore. The pressure gradient can be calculated using the equation: Pressure gradient = (density of oil × acceleration due to gravity) × sin(θ), where θ is the deviation angle of the wellbore from horizontal flow. In this case, the pressure gradient would be (48 lbm/ft^3 × 32.2 ft/s^2) × sin(15°). Multiplying the pressure gradient by the wellbore length of 6,000 ft gives the potential pressure drop.

b) To determine the frictional pressure drop in the wellbore, we can use the Darcy-Weisbach equation. The Darcy-Weisbach equation states that the pressure drop is equal to the friction factor multiplied by the pipe length, density, squared velocity, and divided by the pipe diameter. However, to calculate the friction factor, we need the Reynolds number. The Reynolds number can be calculated as (density × velocity × diameter) divided by the oil viscosity. Once the Reynolds number is known, the friction factor can be determined. Finally, using the friction factor, we can calculate the frictional pressure drop.

c) To calculate the in-situ oil velocity, we need to consider the total volume of the pipe, including both oil and gas. The total pipe volume is calculated as the pipe cross-sectional area multiplied by the wellbore length. Subtracting the gas volume from the total volume gives the oil volume. Dividing the oil volume by the total time taken by the oil to flow through the pipe (converted to seconds) gives the average oil velocity.

d) The flow regime of the two-phase flow can be determined based on the oil and gas mixture properties and flow conditions. Common flow regimes include bubble flow, slug flow, annular flow, and mist flow. These regimes are characterized by different distribution and interaction of the oil and gas phases. To determine the specific flow regime, various parameters such as gas and liquid velocities, mixture density, viscosity, and surface tension need to be considered. Additional information would be required to accurately determine the flow regime in this scenario.

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Answer:

The second choice

Step-by-step explanation:

Perimeter is calculated by adding the length and width but multiplied by 2. You add 3.2 and 1.5 and get 4.7. Multiply 4.7 by 2 would give you 9.4.

Area is multiplying the length and width. 3.2 multiplied by 1.5 would be 4.8

The answer is B.P=9.4 m, A 48m^2

131.234 feet in 40 Meters in Feet by unit conversion .

What is  unit conversion ?

The same feature is expressed in a different unit of measurement through a unit conversion. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles. The units of a measured quantity can be changed without changing the value using a conversion factor, which is an expression representing the connection between units.

                               The numerator and denominator of a conversion ratio (also known as a unit factor) have the same value whether represented in various units, and the ratio itself always equals one (1).

1 meters =  3.28084 feet

40 meters = 131.234 feet

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Val dove 2.5 times farther than her friend.

To represent the difference in depth between Val and her friend, we can subtract their respective depths. Val's depth is -119 feet, and her friend's depth is -34 feet.

The equation to represent the difference in depth is:

Val's depth - Friend's depth = Difference in depth.

(-119) - (-34) = Difference in depth.

To subtract a negative number, we can rewrite it as adding the positive counterpart:

(-119) + 34 = Difference in depth.

Now we can simplify the equation:

-85 = Difference in depth.

The result, -85, represents the difference in depth between Val and her friend. However, since the question asks for how many times farther Val dove compared to her friend, we need to express the result as a multiplication equation.

Let's represent the number of times farther Val dove compared to her friend as 'x'. We can set up the equation:

Difference in depth = x * Friend's depth.

-85 = x * (-34).

To solve for x, we divide both sides of the equation by -34:

-85 / -34 = x.

Simplifying the division:

2.5 ≈ x.

Therefore, Val dove approximately 2.5 times farther than her friend.

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The diameter of the given circle with a circumference of 28.6 centimeters is approximately 9.11 cm.

The circumference of a circle is given by the simple formula: C = πd, where C is the circumference, π is the constant pi and d is the diameter of the circle.

Given that the circumference of the circle is 28.6 cm, we can use the formula to find the diameter:

28.6 = πd

d = 28.6/π

Using 3.14 as an approximation for π, we get:

d ≈ 28.6/3.14 ≈ 9.11

Therefore, the diameter of the circle is approximately 9.11 cm.

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1/5 (x+0.5) +5.24 = 3/2x + 7/10 (x+2.2)

First, apply the distributive property to solve the parentheses

1/5(x)+ 1/5 (0.5) +5.24 = 3/2x + 7/10(x) + 7/10 (2.2)

1/5x +0.1 +5.24 = 3/2x + 7/10 x + 1.54

Combine like terms

1/5x +5.34 = 11/5x +1.54

Move the x terms to the left side of the equation:

1/5x-11/5x = 1.54-5.34

-2x = -3.8

Divide both sides by -2

-2x/-2 = -3.8/-2

x = 1.9