PLEASE HELP I NEED HELP 10 POINTS

Answer:

the answer is B

Step-by-step explanation:

The probability that the three segments can be arranged to form a triangle is 1 - 1/6 = 5/6. Answer: 5/6

Let's consider a unit segment that is 1 unit in length. Assume two points A and B are chosen arbitrarily on the segment. Now, we need to determine the probability that the three segments formed by these two points can be arranged to form a triangle. Let these segments be AB, AC, and BC,

where C is any point that lies between A and B.There are several techniques for solving this problem. We'll use the geometric probability approach.

First, we'll draw a diagram of the segment AB and then a point C between A and B. Let the lengths of segments AB, AC, and BC be represented by x, y, and z, respectively, as shown in the figure below.  \(\overline{AB}\) is a unit segment and C lies between A and B.

The lengths of \(\overline{AC}\) and \(\overline{BC}\) are x and y units respectively.Let's use the Triangle Inequality theorem to see if these segments can form a triangle.

According to the theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side, or a + b > c, where a, b, and c are the lengths of the sides.

Using this theorem, we can write the following inequalities:x + y > zx + z > yz + y > xAdding these three inequalities together, we get:2x + 2y + 2z > x + y + z, orx + y + z > 1.  

Hence, the probability that the three segments can be arranged to form a triangle is 1 - P(x + y + z ≤ 1). Let's compute P(x + y + z ≤ 1) by determining the area of the region where x + y + z ≤ 1. This area is a tetrahedron with a base of area 1/2 and a height of 1/3, giving a volume of 1/6.  

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Answer:

6-3-1

Step-by-step explanation:

Just turn all of the words into numbers or signs.

six= 6

minus = -

three= 3

one= 1

APA format was developed to create a uniform standard of writing.

APA format, which stands for the American Psychological Association format, was established to provide a standardized structure and style for writing scientific papers in the social sciences. It ensures consistency and uniformity in the presentation of research papers, allowing researchers to communicate their work effectively and facilitate the dissemination of knowledge. APA format includes guidelines for organizing the content, citing sources, formatting references, and presenting data. By following these guidelines, researchers can promote clarity, accuracy, and professionalism in their written work. The adoption of APA format helps maintain a common writing style across various disciplines, enhancing readability, facilitating comprehension, and ensuring that scholarly work adheres to established conventions.

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Answer:

b

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

4x5+6-3

Using PEMDAS

Multiply first

20 +6-3

Then add and subtract from left to right

26-3

23

Hey there!

Just do PEMDAS to solve; PEMDAS simply means

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract

4 * 5 + 6 - 3

= 20 + 6 - 3

= 20 + 3

= 23

Good luck on your & enjoy your day’

~Amphitrite1040:)

Answer:

The natural numbers along with number 0 (zero) form the set of whole numbers i.e., 0, 1, 2, 3,, are whole numbers. The set of whole numbers is denoted by . = {0, 1, 2, 3, …} Set of natural numbers is the proper subset of the set of whole numbers.

Step-by-step explanation:

The number of buttons that she can wear proudly will be 5.

The ratio is the division of the two numbers. In reality, ratios and proportions are only two sides of the same coin. A proportion is what results when two ratios are equal. Typically, fractions are used to define ratios and proportions. A ratio is created when we use the symbol ":" to denote a fraction, and a percentage is created when we use "::" to represent two ratios.

For example,

a/b, where a and b represent the numerator and denominator, respectively.

The relationship between two variables is called a proportion.

As per the given question,

Cost of one button = $0.28

The cost of buttons that she can wear = $1.40

A number of buttons = $1.40/$0.28 = 5

The number of buttons that she can wear proudly will be 5.

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Answer:

lo siento no se lo siento

The correct answer is (a) Number Line graph with a closed circle on 160 and shading to the right.

The correct answer is (a) Number line graph with a closed circle on 160 and shading to the right.

The states that the students must collect at least $160 to organize a science fair, and they have already collected $20. Therefore, they still need to collect a minimum of $140 to reach the required amount.

To represent this information graphically, we can use a number line. The left endpoint of the number line would be the amount of money the students have already collected, which is $20, and the right endpoint would be the required amount, which is $160.

Since the students need to collect a minimum of $140, the graph must show a closed circle at the point $160 and shading to the right to indicate that the students still need to collect more money.

Option (b) Number line graph with a closed circle on 140 and shading to the right is incorrect because the students need to collect a minimum of $140, not exactly $140.

Option (c) Number line graph with a closed circle on 20 and shading to the right is incorrect because it does not indicate the required amount of $160.

Option (d) Number line graph with a closed circle on 180 and shading to the right is incorrect because it shows an amount greater than the required amount of $160.

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Answer:

1.35

Step-by-step explanation:

3.24/2.4=1.35

If your teacher wants you to factor, then use the difference of squares rule

9x^2 - 4

(3x)^2 - 2^2

(3x-2)(3x+2)

Given D = Domain

D = {2,0,1,9}

The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers. To calculate the t-value, the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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The t-distribution value is -1.67 for the given mean samples of 35 and 45. Thus, option B is correct.

Given, M₁ = 35

M₂ = 45

SM1-M2 = 6.00

The t-value or t-distribution formula is calculated from the sample mean which consists of real numbers.

To calculate the t-value,

the formula we need to use here is:

t = (M₁ - M₂) / SM1-M2

Substituting the given values into the formula:

t = (35 - 45) / 6.00

t = -10 / 6.00

t = -1.67

Therefore, we can conclude that the value of t is -1.67 for the samples given.

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Answer:

1.) 24%

2.) 12.5%

3.) 60%

Answer:

B

Step-by-step explanation:

Answer:

the equivalent expression is

\(5 {}^{13} \)

Step-by-step explanation:

Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

To approximate the line integral ∫C(ydx+zdy+xdz) using a computer algebraic system (CAS) and Stokes' Theorem, we first need to find the intersection of the plane x+y=2 and the curve C.

1. Find the parametric equations for the curve C:
  Let x = t, then y = 2 - t, and z = 0.
  So, the parametric equations for C are:
  x = t, y = 2 - t, and z = 0.

2. Calculate the cross product of the tangent vector and the given vector:
  The tangent vector to the curve C is given by dr = (dx, dy, dz) = (1, -1, 0).
  The given vector is V = (y, z, x) = (2 - t, 0, t).

  Taking the cross product of dr and V, we get:
  dr x V = (dy * dz - dz * dy, dz * dx - dx * dz, dx * dy - dy * dx)
         = (0 - 0, 0 - 0, 1 - (-1))
         = (0, 0, 2).

3. Evaluate the line integral using Stokes' Theorem:
  The surface S enclosed by the curve C is the projection of the region R in the xy-plane bounded by the curve C.

  Applying Stokes' Theorem, we have:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS),

  where curl(F) = (curl(F1), curl(F2), curl(F3)) and dS is the surface area vector.

4. Determine the curl of F:
  Since F = (y, z, x), we have:
  curl(F) = (0, 0, 1).

5. Calculate the surface area vector dS:
  The surface area vector dS is given by dS = (dSx, dSy, dSz).

  Since the surface S is in the xy-plane, dSx = 0, dSy = 0, and dSz = 1.

  Therefore, dS = (0, 0, 1).

6. Evaluate the surface integral:
  ∫C(ydx+zdy+xdz) = ∬S(curl(F) · dS)
                   = ∬S(0 * 0 + 0 * 0 + 1 * 1) dS
                   = ∬S dS.

  Since the surface S is a region in the xy-plane, the double integral of dS over S is simply the area of S.

7. Find the area of the region R:
  The region R is the projection of the plane x+y=2 onto the xy-plane.

  To find the area of R, we can solve the equation x+y=2 for y:
  y = 2 - x.

  The region R is bounded by the lines x = 0, x = 2, and the curve C.

  Integrate the expression 2 - x with respect to x over the interval [0, 2] to find the area A:
  A = ∫[0, 2] (2 - x) dx.

  Solving this integral, we get:
  A = [2x - (x^2)/2] evaluated from 0 to 2
    = [4 - 2] - [0 - 0]
    = 2.


Using Stokes' Theorem and the given vector, we have approximated the line integral ∫C(ydx+zdy+xdz) to be equal to the area of the region R, which is 2.

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Answer:

Option (D)

Step-by-step explanation:

Given inequalities are,

\(y>-\frac{1}{3}x+2\) --------(1)

y > 2x - 3 ------(2)

Inequality (1) will be represented by a dotted line having negative slope and y-intercept = 2 → (blue line)

And the solution set will lie in the region left to the dotted line.

Similarly, inequality (2) will be represented by a dotted line with positive slope and y-intercept = (-3) → (red line)

Area above the red line will be the solution set for this inequality.

And the common area of both the inequalities will be solution area to the system of linear inequalities.

Option (D) will be the answer.

Answer:

A, the first one

Step-by-step explanation:

Darwin's geometric ratio of increase pertains specifically to the growth rate of populations in biological organisms. According to Darwin's theory of evolution, populations have the potential to increase exponentially over time if certain conditions are met. The geometric ratio of increase, often denoted as "r" or the intrinsic rate of natural increase, represents the factor by which a population multiplies during each reproductive cycle or generation.

In the context of natural selection, individuals with higher reproductive rates (higher r-values) have a greater chance of passing on their genetic traits to the next generation. Over time, this can lead to significant population growth and evolutionary changes within a species. However, the geometric ratio of increase is limited by various factors, such as availability of resources, competition, predation, and environmental constraints, which can result in a balance between population growth and environmental carrying capacity.

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Answer:

ab means a multiplied by b, a(b+c) means add b and c together, then multiply by a, and (a+b)(c+d) means first add a and b

Step-by-step explanation:

ab means product, a(b+c) means product of a and sum of b & c and (a+b)(c+d) product of sum of a & b and c & d.

The result of multiplying two or more numbers together is the sum. The product of two or more numbers is what results from multiplication.

In mathematics, "ab" typically represents the product of two numbers, a and b.

"a(b+c)" represents the product of a and the sum of b and c, where a, b, and c are numbers.

"(a+b) (c+d)" represents the product of the sums of a and b and the sums of c and d.

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Answer:

The answer is C.

For Sonja to determine the location of the new triangle, Sonja must subtract (5,-1) from the coordinates of the original triangle, before rotating by \(90^o\).

From the question, we have:

\(C = (5,-1)\) --- the center of rotation

Let the vertices of the triangle be (x,y).

First, she must subtract the coordinates of the center of rotation from the vertices of the triangle.

This gives:

\((x,y) \to (x - 5, y + 1)\)

Then the vertices are rotated by \(90^o\)

The rule of \(90^o\) rotation is:

\((x,y) \to (-y,x)\)

So, we have:

\((x - 5,y + 1) \to (-y - 1,x - 5)\)

From the attachment, the coordinates of the triangle are: (0,2), (0,5) and (4,2)

After rotation, the coordinates are calculated as follows:

\((0,2) \to (-2-1,0-5) \to (-3,-5)\)

\((0,5) \to (-5-1,0-5) \to (-6,-5)\)

\((4,2) \to (-2-1,4-5) \to (-3,-1)\)

Hence, the coordinates are: (-3,-5), (-6,-5) and (-3,-1)

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a. s⁴+8s³+32s²+80s+100=0: All roots have negative real parts, b. s⁵+10s⁴+30s³+80s²+344s+480=0: One root has a positive real part, c. s⁴+2s³+7s²−2s+8=0: All roots have negative real parts and d. s³+s²+20s+78=0: One root has a positive real part.

To determine the number of roots with positive real parts using Routh's stability criterion, let's construct the Routh array for each equation:

a. s⁴+8s³+32s²+80s+100=0:

Routh array:

  1   32   100

  8   80   0

  30  100  0

  80  0    0

  100 0    0

Since there are no sign changes in the first column of the Routh array, all roots of this equation have negative real parts.

b. s⁵+10s⁴+30s³+80s²+344s+480=0:

Routh array:

  1   30   344

  10  80   480

  10  480  0

  80  0    0

  480 0    0

There is one sign change in the first column of the Routh array. Therefore, there is one root with a positive real part.

c. s⁴+2s³+7s²−2s+8=0:

Routh array:

  1   7    8

  2   -2   0

  2   8    0

  -2  0    0

  8   0    0

There are no sign changes in the first column of the Routh array. Thus, all roots of this equation have negative real parts.

d. s³+s²+20s+78=0:

Routh array:

  1   20   0

  1    78  0

  19   0   0

  78   0   0

There is one sign change in the first column of the Routh array. Therefore, there is one root with a positive real part.

Therefore, a. s⁴+8s³+32s²+80s+100=0: All roots have negative real parts, b. s⁵+10s⁴+30s³+80s²+344s+480=0: One root has a positive real part, c. s⁴+2s³+7s²−2s+8=0: All roots have negative real parts and d. s³+s²+20s+78=0: One root has a positive real part.

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Incomplete question:

Use Routh's stability criterion to determine how many roots with positive real parts the following equations have:

a. s⁴+8s³+32s²+80s+100=0

b. s⁵+10s⁴+30s³+80s²+344s+480=0

c. s⁴+2s³+7s²−2s+8=0

d. s³+s²+20s+78=0

y=-5x

Step-by-step explanation:

Answer:

8hours 45minutes

WORKING OUT

75÷50=1.5

so 1 page would take 1.5 minutes

1.51 x 350= 525 minutes

8.75 hours

\(\huge\text{$m\angle O=\boxed{11^{\circ}}$}\)

Since we know that all angles in a triangle add up to \(180^{\circ}\), we can solve for \(x\) and substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).

\(\begin{aligned}m\angle N+m\angle O+m\angle P&=180\\(5x-8)+(x-5)+(6x+1)&=180\end{aligned}\)

Remove the parentheses and combine like terms.

\(\begin{aligned}5x-8+x-5+6x+1&=180\\(5x+x+6x)+(-8-5+1)&=180\\12x-12&=180\end{aligned}\)

Add \(12\) to both sides of the equation.

\(\begin{aligned}12x-12&=180\\12x&=192\end{aligned}\)

Divide both sides of the equation by \(12\).

\(\begin{aligned}x=16\end{aligned}\)

Now that we have the value of \(x\), we can substitute it back into \((x-5)^{\circ}\) to find \(m\angle O\).

\(\begin{aligned}m\angle O&=(x-5)\\&=16-5\\&=\boxed{11}\end{aligned}\)

Step-by-step explanation:

x/(x + 2) + 1/x = 1

x² + (x + 2) = x(x + 2)

x² + x + 2 = x² + 2x

x = 2.

Since x = 2 neither makes (x + 2) or x become 0, there are no extraneous solutions.

The answer is "The equation has 1 valid solution and no extraneous solutions." (C)

The true statement is (c) the equation has one valid solution and no extraneous solutions

The equation is given as:

\(\frac{x}{x + 2} + \frac 1x = 1\)

Take LCM

\(\frac{x^2 + x + 2}{x(x + 2)} = 1\)

Expand the numerator

\(\frac{x^2 + x + 2}{x^2 + 2x} = 1\)

Cross multiply

\(x^2 + x + 2 = x^2 + 2x\)

Subtract x^2 from both sides

\(x + 2 = 2x\)

Collect like terms

\(2x -x = 2\)

\(x = 2\)

Hence, the equation has one valid solution and no extraneous solutions

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Answer:

300

Step-by-step explanation:

4 x 15 = 60

60 x 5 = 300