Is the following conditional true?
If a number is a square root of an integer, then it is irrational.

Using the volume x³ + 10x² + 19x  - 30, the missing side of the rectangular prism is (x + 6)

Two sides of a rectangular prism are x + 5 and x - 1. The volume of the rectangular prism is given as x³ + 10x² + 19x  - 30.

Let's find the missing side of the rectangular prism.

Therefore,

volume of a rectangular prism = lwh

where

Therefore,

volume of the prism = x³ + 10x² + 19x  - 30

Let's factorise it to find the missing side length

x³ + 10x² + 19x  - 30  = 0

(x - 1)(x² + 11x + 30)

let's factorise x² + 11x + 30

x² + 11x + 30

x² + 5x + 6x + 30

x(x + 5) + 6(x + 5)

(x + 6)(x + 5) = 0

Therefore, the side length of the rectangular prism are (x - 1), (x + 5) and (x + 6)

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The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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The equations that can be used to eliminate m₂ are 1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

From the question, we have the following parameters that can be used in our computation:

1. m₂ = 3m₁

2. --m₁g cosθ + T= m₁a₁

3. a₁ = a₂

4. m₂g - T=m₂a₂

To eliminate m₂, the equation to use must have a term or factor that has m₂

using the above as a guide, we have the following:

1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

Hence, the equations are 1. m₂ = 3m₁ and 4. m₂g - T=m₂a₂

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Question

A physics student solving a physics problem has obtained the following four equations that describe the physics of a system of masses connected:

1. m2 = 3m1

2. --mig cosθ + T= miai

3. a1 = a2

4. m2g-T=m2a2

The student decides to eliminate the unknown m2. Which two of the equations can be used to eliminate m2?

Answer:

17 = 31/P

Step-by-step explanation:

Answer: a.) the altitude from N to line LM 6 units

Step-by-step explanation: Looking at the graph, you can count the units from the point N to the line, or you can find the difference between 4 and -2:  4- (-2) = 6

The altitude from N to LM is 6 units. Therefore, option A is the correct answer.

From the graph, triangle LMN is given.

The length of the altitude, often simply called "the altitude", is the distance between the extended base and the vertex. The process of drawing the altitude from the vertex to the foot is known as dropping the altitude at that vertex.

From the given graph we can see, the altitude from N to LM is 6 units.

Therefore, option A is the correct answer.

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c will prove that b is parallel

Answer:

Step-by-step explanation:

From the question the two angles that's

\(\angle\) ZXY and \(\angle\) WXZ are complementary since they lie on a right angle

Complementary angles are angles that add up to 90°

Let m \(\angle\) WXZ be x

To find m \(\angle\) WXZ add up the two angles and equate them to 180° to find the angle

So we have

\(\angle\) WXZ + \(\angle\) ZXY = 90

x + 26 = 90

x = 90 - 26

x = 64°

So we have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

Perimeter of a polygon = Sum of all sides of the polygon

Perimeter of the given rectangle = 2[(5x - 2) + (3x - 0.5)]

                                                      = 2[8x - 2.5]

                                                      = (16x - 5)

Perimeter of the given triangle = (2x + 3) + (2x + 3) + (10x - 5)

                                                   = 14x + 1

Since perimeter of the rectangle and triangle are same, equation will be

(16x - 5) = (14x + 1)

16x - 14x = 5 + 1

2x = 6

x = 3

Perimeter = (16x - 5)

                 = 48 - 5

                 = 43 units

Therefore, in response to the given query, we can state that The two expressions expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

In numbers, you can multiply, split, add, or take away. The following is how a phrase is made together: Numeric number, expression, and arithmetic operator The elements of a mathematical expression are integers, factors, and functions.   It is feasible to use contrasting words and terms. Any mathematical declaration containing variables, integers, and a mathematical action between them is known as an expression, also known as an algebraic expression. As an example, the expression 4m + 5 is composed of the expressions 4m and 5, as well as the variable m from the provided equation, which are all separated by the mathematical symbol +.

The two phrases are interchangeable, yes.

To better understand why, let's use the distributive principle of multiplication over addition to expand the second expression as follows:

4(X+3) = 4X + 4(3) = 4X + 12

The two expressions are equal because, as you can see, the outcome is the same as the first expression, 4x + 12.

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Answer:

Sin 18° = cos 72° and sin 72° = cos 18°

Step-by-step explanation:

According to trigonometry identity;

sin Ф = cos(90 - Ф)

for Sin 18° = cos 72

Ф = 18°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 18 = cos(90 - 18)

Sin 18 = cos 72

Hence the statement id true

For sin 72° = cos 18

Ф = 72°

Substitute into the expression

sin Ф = cos(90 - Ф)

sin 72 = cos(90 - 72)

Sin 72 = cos 18

Hence this statement too is correct

The two correct statements are Sin 18° = cos 72° and sin 72° = cos 18°

Answer:

B. \(y=cos (\theta)\)

F. \(y=cot(\theta)\)

Step-by-step explanation:

If you look at the attached graph, it is simply a matter of checking each graph for the corresponding x-value, \(\frac{\pi}{2}\).

Therefore , the solution for this problem is that standard deviation can be used as risk management investing.

The standard deviation is a metric that reveals the amount of variation (such as spread, scattering, and spread) from the mean. The standard deviation represents a "average" departure from the mean. Because it uses the exact units of measurement from the data set, it is a well-liked measure of variability. Similar to variance, there is little variation when data points are near the mean, but there is much variation when data points are widely scattered from the mean.

Here,

Standard deviation is one of many ways to measure risk in finance.

It states the level of dispersion of some data values (like stock returns) around its mean.

The higher the standard deviation the more diverse or wider the returns will be, that is, more risk.

If the mean is 8% with a standard deviation of 13%, you can calculate the probability of the expected returns to be in between -5% and 21% (8% +\- 13%). Actually even outside the interval.

(The probability will depend on the distributions of returns)

Therefore , the solution for this problem is that standard deviation can be used as risk management investing.

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13

Step-by-step explanation:

i said 36 divide by 3 is 13

Answer:

C. 8x - 6

Step-by-step explanation:

Answer:

29% of the drive

Step-by-step explanation:

The plot of the problem is:

Transmitter at origin (0,0)  

City to the north at (0,70)

City to the east at (74,0)

The path from city to city is a line with slope:

m = (-70)/74 = -35/37

and y-intercept at y = 70, so the equation is y = (-35/37)*x + 70.

The transmitter reach the area enclosed by the next circle:

x^2 + y^2 = 53^2

See the picture attached

The intersection is gotten from the picture or solving:

x^2 + [(-35/37)*x + 70]^2 = 53^2

the points approximately are: (24.1, 47.2) and (45.8, 26.7)

From Pythagorean theorem the total distance of the trip is:

d1 = √(70^2 + 74^2) ≈ 101.9 miles

And the distance when the signal is picked up is:

d2 =√ [(45.8 - 24.1)^2 + (47.2 - 26.7)^2] ≈ 29.9 miles

You will pick up a signal from the transmitter in (d2/d1)*100 = 29% of the drive.

Answer:

y≥3x-1

Step-by-step explanation:

i did the thing

and y≥the mx+b

m=slope

b=y intercept

the symbol determines which way the shaded part faces

pls mark brainliest

Answer:

the guy up there is correct

Step-by-step explanation:

i tried the answer and it was correct

Answer:

A. (-2, -9)

Step-by-step explanation:

y = 2x - 5

A. (-2, -9)

-9 = 2*(-2)-5?

-9 = -4-5  YES

B. (-1, -6)  

-6 = 2*(-1) -5

-6 = -7       NO        

C. (0,0)  

 0 = 2*0 - 5  NO                                      

D. (2,5)​

5 =2*2 - 5

5 = 4 - 5    NO

Given that

A panel for a political forum is made up of 14 people from three parties, all seated in a row.

The panel consists of 1 Republican, 6 Green Party members, and 7 Democrats.

For Republicans, they can be seated in 1 way.

For Green Party with 6 members, they can be arranged in

While in 7 Democrats, they can be arranged in

Therefore, if two people of the same party are considered identical, they can be arranged in

Hence, they can be arranged in 12 distinct orders.

Answer:

i believe its the last one 2 x 10 = 20

Step-by-step explanation:

The polynomial, - 2r + 6r^5 + sr is a trinomial.

The degree of the polynomial is 5.

A polynomial can be defined as an algebraic expression that consists of constants, variables, and positive exponents.

The degree of a polynomial is dependent on the highest exponent value carried by any of the terms. Also, the number of terms a polynomial has determines what type of polynomial it is.

Given the polynomial, - 2r + 6r^5 + sr:

It has three terms, therefore, it is a trinomial.

The degree of the polynomial is 5.

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(a) The velocity at which an animal with a leg length of 0.57 m changes from a trot to a gallop is approximately 3.72 m/s. (b) The dinosaur was traveling at a speed of roughly 0.0375 m/s based on a Froude number of 0.025 and a leg length of 6 m.

The Froude number is a useful parameter for comparing the locomotion of animals of different sizes. It allows for a comparison of their velocities while accounting for the effects of gravity and leg length. When the Froude number is around 2.56, animals tend to change from a trotting gait to a galloping gait.

To calculate the velocity, we rearrange the Froude number formula to solve for v. In the given case, we substitute the leg length of 0.57 m and the Froude number of 2.56 into the equation. Solving for v, we find that the velocity is approximately 3.72 m/s.

This means that for an animal with a leg length of 0.57 m, the transition from trotting to galloping occurs at a velocity of approximately 3.72 m/s. The Froude number helps us understand the relationship between an animal's leg length, velocity, and gait transition, providing valuable insights into locomotion dynamics.

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Answer:11/4

Step-by-step explanation:

Answer:

Y = 168°

X = 12°

Step-by-step explanation:

Y = 168 degrees

X = 5x -48

48 = 4x

12 = x

The derived quadratic function is y = \((x+5)^2\) + 3.

A quadratic function is a mathematical function of the form f(x) = ax² + bx + c, where a, b, and c are constants, and x is the variable. It is a second-degree polynomial function that creates a parabolic curve when graphed. The term ax²  is the quadratic term, bx is the linear term, and c is the constant term.

The quadratic function with a vertex at (h,k) and a point (x,y) on the parabola can be written in the form of y = a(x-h)² + k. Using the given values, we have:

(h,k) = (-5, 3)

(x,y) = (2, 9)

Substituting these values in the equation, we get:

9 = a\((2 - (-5))^2\) + 3

Simplifying this equation, we get:

6a = 6

a = 1

Therefore, the quadratic function is:

y = \((x+5)^2\) + 3

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This probability distribution indicates the likelihood of each fruit being chosen when selecting from the available options. It provides valuable information for analyzing the expected distribution of fruit choices among the office employees.

The probability distribution for the 30 pieces of fruit, in the order listed, can be determined by calculating the probability of each fruit being chosen based on the given information.

Let's calculate the probability distribution. We have five kinds of fruit: apples, bananas, lemons, oranges, and pears. The number of pieces for each fruit is as follows:

Apples: 3 pieces

Bananas: 5 pieces

Lemons: 10 pieces

Oranges: 8 pieces

Pears: 4 pieces

To find the probability of each fruit being chosen, we need to divide the number of pieces of each fruit by the total number of fruit options, which is the sum of all the pieces:

Total number of fruit options = 3 + 5 + 10 + 8 + 4 = 30

Now, we can calculate the probability for each fruit by dividing the number of pieces of that fruit by the total number of fruit options:

Probability of Apples: 3/30 = 0.1

Probability of Bananas: 5/30 ≈ 0.1667

Probability of Lemons: 10/30 = 0.3333

Probability of Oranges: 8/30 ≈ 0.2667

Probability of Pears: 4/30 ≈ 0.1333

Therefore, the probability distribution for the 30 pieces of fruit, in the order listed, is as follows:

Fruit | Number of pieces | Probability

Apples | 3 | 0.1

Bananas | 5 | 0.1667

Lemons | 10 | 0.3333

Oranges | 8 | 0.2667

Pears | 4 | 0.1333

This probability distribution indicates the likelihood of each fruit being chosen when selecting from the available options. It provides valuable information for analyzing the expected distribution of fruit choices among the office employees.

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The equation of the line would be y = (-3/4)x + 5.

What is the slope-point form of the line?

For the line having slope "m" and the point (x1, y1) the equation of the line passing through the point (x1, y1) having slope 'm' would be

                      y - y1 = m(x - x1)

The given equation is \(y=-\frac{3}{4}x-17\)

The required line is parallel to the given line.

and we know that the slopes of the parallel lines are equal so the slope of the required line would be m = -3/4

And the required line passes through (8, -1)

so by using slope - point form of the line,

      y - (-1) = (-3/4)(x - 8)

      y + 1 = (-3/4)x - (-3/4)8

       y + 1 = (-3/4)x + 24/4

       y = (-3/4)x + (12/2 - 1)

       y = (-3/4)x + 5

Hence, the equation of the line would be y = (-3/4)x + 5.

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Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.

Answer: 1 tablespoon

Step-by-step explanation:

Answer: The answer would be $60

Step-by-step explanation: You would first wanna solve for how much one pound of shrimp costs, which is $7.5 (you divide 25.50 by 3.4) Then you would want to multiply 7.5 by 8 to get how much 8 pounds of shrimp costs.

According to the similarity-attraction hypothesis, when two individuals from different cultures perceive a greater similarity between themselves, it is likely that they will experience increased attraction towards each other.

This means that the perception of shared characteristics, values, and beliefs between individuals can lead to a stronger sense of connection and positive feelings. It is important to note that this hypothesis suggests perceived similarity and attraction, but it does not guarantee the formation of relationships or friendships.

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