what shape has more than 6 vertices​

Answer:

The width of the prism is 2x - 1.

Hope this helps!

Step-by-step explanation:

( there is no addition or subtraction sign between \(2x^{3}\) and \(3x^{2}\) )

The volume of a rectangular prism is Length*Width*Higth.

( 2x - 1 )*( x + 2 ) = \(( 2x^{2} +4x-x-2) = (2x^{2} +3x - 2)\)

\((2x^{2} +3x-2)*(x-3 )\) = \((2x^{3} -6x^{2} +3x^{2} -9x-2x+6 ) = (2x^{3} -3x^{2} -11x+6)\)

Which is the equation, so the width of the prism is 2x - 1.

Answer:

104 degrees

Step-by-step explanation:

90 + 54 + 132 = 276

360 - 276 = 104

Answer:

The true statement is h < k ⇒ (3)

Step-by-step explanation:

∵ The equation of the graph is y = \(\sqrt{x+h}\) + k

∵ (-h, k) are the coordinates of its vertex point

∵ -h is the x-coordinate of the vertex point

∵ x-coordinate of the vertex point is -3

∴ -h = -3

→ Divide both sides by -1

∴ h = 3

∵ k is the y-coordinate of the vertex point

∵ y-coordinate of the vertex point is 4

∴ k = 4

∵ 3 < 4

→ That means h is smaller than k

∴ h < k

∴ The true statement is h < k

In "client-server" architecture, client is responsible for presentation-logic; "server" is responsible for data-access logic; and location of data-storage varies.

In a client-server architecture, we think of the client as a person using a computer to access a website or an app. The client is responsible for how things are presented to the user. It takes care of things like displaying information, handling user input, and making the interface look good and easy to use.

The server is like a powerful computer that stores and manages the data needed for the client. It's responsible for things like storing and retrieving information from a database. The server also handles tasks like processing requests from the client and sending back the requested data.

The location of the data storage can vary. Sometimes the data is stored directly on the server itself, while in other cases, it may be stored in a separate database or file system.

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Answer:

Hope this helps you a little

Step-by-step explanatio

its  2nd one (nice pfp jucie wrld is a legend)

Answer:

a

Step-by-step explanation:

you need to divide the entire amount of

The chart element that gives a realistic, three-dimensional look is D. plot area.

In a chart, the plot area is the area where the actual chart data is plotted. It is the main part of the chart where the lines, bars, or other data markers are displayed. To give a chart a realistic, three-dimensional look, shading and depth are applied to the plot area. This creates the illusion of depth and makes the chart appear more visually appealing and easier to read. The axis, chart area, and legend do not typically have a three-dimensional appearance, as they are typically two-dimensional elements that provide information about the chart data rather than displaying the data itself.

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Step-by-step explanation:

Angle c + angle d = 180° ( linear pair)

given,

angle c = 5x + 9

angle d = 5x - 6

now,

5x + 9 + 5x - 6 = 180

10x + 3 = 180

10x = 180 - 3 = 177

10x = 177

x = 177/10 = 17.7

so,

angle C = 5x + 9 = 5(17.7) + 9 = 97.50°

angle D = 5x - 6 = 5(17.7) - 6 = 82.50°

Hope this answer helps you dear! take care!.

Answer:

i have no idea sry man lol

Step-by-step explanation:

no idea

rate of change is change in y / change in x

(-1 - -3)/ (0 - -6) = 2/6 = 1/3

initial value is the y value when x is 0 , which is -1

Answer:

it's the second option

Step-by-step explanation:

hey, you just put value of g(x) instead of x while finding f(g(x))

Answer:

a = -5/3

Step-by-step explanation:

3/a × -4 = 20

3a × -4/-4 = 20/-4

3a = -5

a = -5/3

Check:

3/(-5/3) × - 4 = 20

-5 × - 4 = 20

Answer:

67.5

Step-by-step explanation:

I hope this helps!

To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

Answer:

Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!

An example of an optimistic explanatory style would be viewing a bad grade on a test as something that doesn't often happen, will probably not affect your final grade, and is probably because you did not get enough sleep the night before the test.

An optimistic explanatory style involves interpreting negative events or outcomes in a positive and constructive manner. It involves attributing the causes of negative events to external, temporary, or specific factors rather than internal, permanent, or global factors.

In the given example, option (a) demonstrates an optimistic explanatory style. It suggests that the bad grade on the test is not a common occurrence ("something that doesn't often happen"), indicating that it is viewed as an isolated incident. Furthermore, it minimizes the impact of the bad grade by stating that it will probably not affect the final grade. Instead of attributing the cause to personal incompetence or intelligence.

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We can then simplify the expression as:`[4(x + 3) + 3(x + 2)] / (x + 2)(x + 3)²`Simplifying, we get:`[7x + 18] / (x + 2)(x + 3)²`The restrictions on the variable are `x ≠ -3` and `x ≠ -2`, since division by zero is not defined. Thus, the variable cannot take these values.

a) The given expression is: `[a+3/a+2]-[(7/a-4)]`To simplify this expression, let us first find the least common multiple (LCM) of the denominators `(a + 2)` and `(a - 4)`.The LCM of `(a + 2)` and `(a - 4)` is `(a + 2)(a - 4)`So, we multiply both numerator and denominator of the first fraction by `(a - 4)` and both numerator and denominator of the second fraction by `(a + 2)` to obtain the expression with the common denominator:

`[(a + 3)(a - 4) / (a + 2)(a - 4)] - [7(a + 2) / (a + 2)(a - 4)]`

Now, we can combine the fractions using the common denominator as:

`[a² - a - 29] / (a + 2)(a - 4)`

Thus, the simplified expression is

`[a² - a - 29] / (a + 2)(a - 4)`

The restrictions on the variable are `a

≠ -2` and `a

≠ 4`, since division by zero is not defined. Thus, the variable cannot take these values.b) The given expression is: `[4/x²+5x+6]+[3/x²+6x+9]`

To simplify this expression, let us first factor the denominators of both the fractions.

`x² + 5x + 6

= (x + 3)(x + 2)` and `x² + 6x + 9

= (x + 3)²`

Now, we can write the given expression as:

`[4/(x + 2)(x + 3)] + [3/(x + 3)²]`

Let us find the LCD of the two fractions, which is `(x + 2)(x + 3)²`.We can then simplify the expression as:

`[4(x + 3) + 3(x + 2)] / (x + 2)(x + 3)²`

Simplifying, we get:

`[7x + 18] / (x + 2)(x + 3)²`

The restrictions on the variable are `x

≠ -3` and `x

≠ -2`, since division by zero is not defined. Thus, the variable cannot take these values.

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Answer:

x < 7/12

Step-by-step explanation:

1/4+x<5/6

Multiply each side by 12 to get rid of the fractions

12*1/4+12x<5/6*12

3 + 12x < 10

Subtract 3 from each side

3+12x-3 < 10-3

12x < 7

Divide by 12

12x/12 < 7/12

x < 7/12

Answer:

A

Step-by-step explanation:

The rational numbers arranged on a number line will graduate from the highest to the lowest (left to right) as follows:

A rational number is defined in mathematics as the quotient or fraction p/q of two integers, a numerator p, and a non-zero denominator q. For example, −4/7 is a rational number, as is every integer.

Note that a number line is defined as a horizontal line with evenly spaced numerical increments.

To get the order in which the numbers must be arranged, the trick is to convert the number for which you have doubt into their decimal forms or d integer forms.

A) √16 = 4

B) 2/3 = 0.6

C) |-3| = 3 {Reason: Absolute Value of any number must be its positive equivalent]

D) 2.47 x 10^{-2} = 0.0247

E) -1/4 = -0.25

Hence rearranged in descending order (from highest to lowest) we have:

On the number line, the first nubmer from the left will be √16, followed by |-3|, and so on.

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The given graph is a graph of the absolute value function:

A graph of the function y=f(x) when translated horizontally by a units, vertically by b units, and horizontally stretched by a factor of k, where k>=1 is :

The required graph in the choices is that of the function:

This equation shows that the new function translates the previous one vertically down by 3 units (b=-3).

Horizontally to the left by 5 units (a=-5), and a horizontal stretch by a factor of 3 (k=3).

Hence, the new graph will be the one that gives the old graph translated vertically downwards by 3 units, horizontally to the left by 5 units, and a horizontal stretch away from the y-axis by a factor of 3.

The graph that best fits is shown below:

Answer:

the slope is 4/3

Step-by-step explanation:

your welcome :D

Answer:

slope=2

Step-by-step explanation:

(3,2)

(7,10)

10-2=

7-3=

8/4=2/1=2

Answer:

A

Step-by-step explanation:

to get from 2 to 6, multiple x by 3

take the mulply by 3 and apply to other x values.

3*5 = 15 which does not equal 12, so the ratios are not the same

Answer:

The answer is m = 8 + 2p.

m = 2n

n = 4 + p

m = 2(4 + p) = 8 + 2p

Therefore, the only formula that is also true is m = 8 + 2p.

Step-by-step explanation:

Answer:

From the given equation-

4(3p+2)−5(6p−1)=2(p−8)−6(7p−4)

⇒12p+8−30p+5=2p−16−42p+24

⇒−18p+13=−40p+8

⇒−18p+40p=8−13

⇒22p=−5

⇒p=

22

−5

.

Step-by-step explanation:

basicly what I said

Answer:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

Step-by-step explanation:

From smallest to largest:

\(-\frac{17}{4}\\-3.95\\-\sqrt{15}\\-3\frac{6}{7}\\-3\frac{1}{4}\\-3.2\)

The quick sort algorithm sorts the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4] in ascending order as [4, 6, 7, 12, 18, 20, 25, 28, 41].

To perform a quick sort on the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4], we can follow these steps:

1. Choose a pivot element from the list. Let's select the first element, 17, as the pivot.

2. Partition the list around the pivot by rearranging the elements such that all elements smaller than the pivot come before it, and all elements larger than the pivot come after it. After the partitioning, the pivot element will be in its final sorted position.

The partitioning step can be done using the following process:

- Initialize two pointers, i and j, pointing to the start and end of the list.

- Move the pointer i from left to right until an element greater than the pivot is found.

- Move the pointer j from right to left until an element smaller than the pivot is found.

- Swap the elements at positions i and j.

- Repeat the above steps until i and j cross each other.

After the partitioning step, the list will be divided into two sublists, with the pivot in its sorted position.

3. Recursively apply the above steps to the sublists on either side of the pivot until the entire list is sorted.

Let's go through the steps for the given list:

Initial list: [17, 28, 20, 41, 25, 12, 6, 18, 7, 4]

Step 1:

Pivot: 17

Step 2:

After partitioning: [12, 6, 4, 7, 17, 28, 20, 41, 25, 18]

Step 3:

Recursively sort the sublists:

Left sublist: [12, 6, 4, 7]

Right sublist: [28, 20, 41, 25, 18]

Repeat the partitioning and sorting process for the sublists.

Left sublist:

Pivot: 12

After partitioning: [7, 6, 4, 12]

Right sublist:

Pivot: 28

After partitioning: [20, 25, 28, 41, 18]

Continue the process for the remaining sublists:

Left sublist:

Pivot: 7

After partitioning: [4, 6, 7, 12]

Right sublist:

Pivot: 20

After partitioning: [18, 20, 25, 28, 41]

Finally, the sorted list is obtained by combining the sorted sublists:

[4, 6, 7, 12, 18, 20, 25, 28, 41]

Therefore, the quick sort algorithm sorts the given list [17, 28, 20, 41, 25, 12, 6, 18, 7, 4] in ascending order as [4, 6, 7, 12, 18, 20, 25, 28, 41].

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The reduced gradient is analogous to the residual for linear models.

In linear regression, the residual represents the difference between the observed values and the predicted values of the dependent variable. Similarly, in optimization, the reduced gradient represents the difference between the current solution and the optimal solution. It is a measure of how far the current solution is from the optimal solution in the direction of the search. By minimizing the reduced gradient, we can move closer to the optimal solution.

The reduced gradient is a widely used optimization technique in non-linear programming that allows for efficient computation of the descent direction at each iteration while accounting for constraints. It involves calculating a partial derivative of the objective function with respect to the variables that are not restricted by the constraints, and then projecting the resulting gradient onto the space defined by the constraints. The resulting vector is called the reduced gradient, and it points in the direction of the steepest descent that is feasible.

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I think the answer is

22.5 meter

it is because 7.5 meter ×4=30m

so 7.5+7.5+7.5=22.5 m