Which equation represents line shown in the accompanying
diagram?

Answer:

B

Step-by-step explanation:

I THINK B

Answer:

The answer is (8x20)-(8x1)

Answer:

figure is missing mate

Answer:

Below

Step-by-step explanation:

If the men are indistinguishable   and the women are too, then

6 w  5 m    

7 w 4 m

8 w   3 m

      3 ways

IF they ARE distinguishable it becomes a much larger, complex calculation:

8 C 6 * 10 C 5   +  8 C 7 * 10 C 4   +  8 * 10 C 3  

  ( is THIS what you are studying ? )

Answer:

2 + √3

Step-by-step explanation:

Multiply the expression by \(\dfrac{\sqrt{3} +1}{\sqrt{3} +1}\) :

\(\implies \dfrac{\sqrt{3} +1}{\sqrt{3} -1}\times\dfrac{\sqrt{3} +1}{\sqrt{3} +1}=\dfrac{(\sqrt{3} +1)^2}{3+\sqrt{3}-\sqrt{3}-1}=\dfrac{(\sqrt{3} +1)^2}{2}\)

\(\implies \dfrac{(\sqrt{3} +1)^2}{2}=\dfrac{3+2\sqrt{3}+1 }{2}=\dfrac{4+2\sqrt{3} }{2}=2+\sqrt{3}\)

Answer:

42

Step-by-step explanation:

  rectangle =  8x9 = 72

1/3 0f 72 =  24      (72-24=  48)

1/8 of 48 =6   48-6 =42

red-----24

green-----6

unpainted-----42

24+6+42+=72

The 42 squares are left unpainted.

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

The area of rectangle =  8 x 9 = 72

One-third of these squares are painted red, 1/8 of the remaining squares are painted green, and the others are left unpainted.

1/3 of 72

1/3 x 72 =  24      

(72-24=  48)

1/8 of 48

1/8 x 48 = 6  

( 48-6 =42)

So,

red = 24

green = 6

unpainted = 42

The 42 squares are left unpainted.

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Answer:

x = 3a - 5

Step-by-step explanation:

scalene triangle has a perimeter of 18a - 14.

One side is 10a + 1 and another side is 5a - 10.

Then the third side will be

The perimeter is the sum of all sides.

Let the x be the third side. Then we have

Perimeter = sum of all sides

18a - 14 = 10a + 1 + 5a - 10 + x

18a - 14 = 15a - 9 + x

x = 3a - 5

HOPE THIS HELPS

Answer:

its the 2nd one

Step-by-step explanation:

The answer is 240.4cm^2

Or the second one

Answer:

Look below.

Step-by-step explanation:

I don't really want to explain... (just use Pythagorean's Theorem)

2a. 12

2b. 5

2c. 13

3a. 4

3b. 3

3c. 5

The c's are the hypotenuse.

Answer: (x–2) and (10x+7)

Step-by-step explanation:

10x^2 – 13x – 14=

10x^2 – 20x + 7x – 14=

10x(x–2) + 7(x–2)=(x–2)(10x+7) ==> 3rd option

To find the series solution for the differential equation y'' + 2xy' + 2y = 0, we can assume a power series solution of the form:

Now, substitute y(x), y'(x), and y''(x) into the differential equation:

∑(n=0 to ∞) aₙn(n-1) xⁿ⁻² + 2x ∑(n=0 to ∞) aₙn xⁿ⁻¹ + 2 ∑(n=0 to ∞) aₙxⁿ = 0

We can simplify this equation by combining the terms with the same powers of x. Let's manipulate the equation step by step:

We can combine the three summations into a single summation:

∑(n=0 to ∞) (aₙ₊₂(n+1)n + 2aₙ₊₁ + 2aₙ) xⁿ = 0

Since this equation holds for all values of x, the coefficients of the terms must be zero. Therefore, we have:

This is the recurrence relation that determines the coefficients of the power series solution To find the series solution, we can start with initial conditions. Let's assume that y(0) = y₀ and y'(0) = y'₀. This gives us the following initial terms:

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The factors using linear interpolation. The numerical value of factor 1 is 63.77. The numerical value of factor 2 is 2,509.65.

To calculate the value of a function between any two known values, the linear interpolation is utilized.

The linear interpolation is given as:

Factor 1 (F/P,13%,34)  can be calculate as

Factor 1= (1+13)³⁴

Factor 1 = (1+0.13)³⁴

Factor 1 = (1.13)³⁴

Factor 1 = 63.77

Factor 2 (A/G,19%,45) can be calculate as

Factor 2= (1+19)⁴⁵

Factor 2 = (1+0.19)⁴⁵

Factor 2 = (1.19)⁴⁵

Factor 2 = 2,509.65

Therefore, the variables are interpolated linearly. Factor 1 has a value of 63.77 in numbers. Factor 2 has a numerical value of 2,509.65.

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Basis containing the given set of vectors is as follows:

(a) { (1, 0, 1, 0), (0, 1, 1, 0) }; (b) { (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }

(c) { [1 0 0 0], [0 2 0 0], [0 0 0 1] }

To construct a basis of V, we can use Gaussian elimination. We can start by creating an augmented matrix with the given vectors as columns:

(a)

| 1 0 1 0 |

| 0 1 1 0 |

| 1 0 -1 0 |

| 0 0 0 0 |

Perform elementary row operations to get matrix in row echelon form:

| 1 0 1 0 |

| 0 1 1 0 |

| 0 0 -2 0 |

| 0 0 0 0 |

Therefore, a basis for V is:

{ (1, 0, 1, 0), (0, 1, 1, 0) }

(b)

| 1 0 0 0 |

| 1 0 0 0 |

| 0 1 0 0 |

| 0 1 0 0 |

| 0 0 0 1 |

| 0 0 0 1 |

Perform elementary row operations to get matrix in row echelon form:

| 1 0 0 0 |

| 0 1 0 0 |

| 0 0 0 1 |

| 0 0 0 0 |

| 0 0 0 0 |

| 0 0 0 0 |

Therefore, a basis for V is:

{ (1, 0, 0, 0), (0, 1, 0, 0), (0, 0, 0, 1) }

(c) We can see that given set of vectors is already a basis for M22, since they are linearly independent. Therefore, a basis for V is:

{ [1 0 0 0], [0 2 0 0], [0 0 0 1] }

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The required answer is the simplified, rationalized form of tan(Q) is 10/21.

To find the tangent of angle Q (tan(Q)) in triangle ZQP, we need to identify the opposite and adjacent sides to angle Q. Based on the given information, side PQ has a length of 3 (3/3) and side QR has a length of 6.3.

Since the tangent function is defined as the ratio of the opposite side to the adjacent side, we have:
tan(Q) = opposite side / adjacent side

In triangle ZQP, the opposite side to angle Q is PQ, and the adjacent side is QR. Therefore,
tan(Q) = PQ / QR = 3 / 6.3
Between two or more zodiac signs, Ratio is way of measuring their size in comparison to each other. A ratio can be indicated by using a colon as the separator or it can be expressed simply as a fraction. Number in any proportion can be quantities , such as people or things or numbers, or as in length, weight, time, etc. Measurement in most contexts, both number  are limited to being positive.
Now, we simplify the fraction:
tan(Q) = 3 / 6.3 = 1 / 2.1

Since we should present the answer in rationalized form, we can multiply both the numerator and denominator by 10 to eliminate the decimal:
tan(Q) = (1 * 10) / (2.1 * 10) = 10 / 21

So, the simplified, rationalized form of tan(Q) is 10/21.

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Answer:

Step-by-step explanation:

When rotating a point 90 degrees counterclockwise about the origin our point A(x,y) becomes A'(-y,x). In other words, switch x and y and make y negative.

Answer:

Volume is 36 units

Step-by-step explanation:

Just multiply 3 units length, by 3 units width, by 4 units height.

Algebraic expression of 13 times the cost of one ticket is 13x.

Any combination of terms that have undergone operations like addition, subtraction, multiplication, division, etc. is known as an algebraic expression (or variable expression). Let's use the equation 5x + 7 as an example. Thus, 5x + 7 is an illustration of an algebraic expression. The variables in the algebraic expressions, which have numerous multiples, are used to depict a real-world event. It is easier to express 3x+4y, where x and y represent the costs of each pen and pencil individually, rather than "The cost of 3 pens and 4 pencils." Calculations can be made easier by writing a real-world circumstance as an expression.

Given

Algebraic expression

13 times the cost of one ticket

Let cost of one ticket be x.

13x

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Answer:

-19

Step-by-step explanation:

Use the geometric ratio r=a2/a1

So 117/-13 = -9

-13*-9= 117

117*-9= -1053

The solution which we get for the given question is , x = 5/2 and y = 5/4 answer.

Isolating x,

2x = 9x - 14y

2x-9x = 9x-9x -14y

-7x = -14y

-7x/-7 = -14y/-7

x = 2y

Therefore substituting value of x on equation 2,

9(2y) = 40 - 14y

18y = 40 - 14y

18y+14y = 40 -14y+14y

32y = 40

32y/32 = 40/32

y = 5/4

Therefore , x = 10/4 = 5/2

as because x =2y.

An equation is a mathematical statement which equated two value using the equal sign. Eg.) 2x = y

These expressions on either side of the equals sign are referred to as the equation's "left" and "right" sides. The right-hand side of an equation is usually assumed to be zero. The generality will still be there as  because we can balance it by subtracting the right-hand side expression from the expressions on both sides.

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Step-by-step explanation:

1/6 ÷ 1/2

=1/6 × 2

=1/3

Hope it helps you

Using conditional probability, it is found that there is a 0.83 = 83% almost 0.8403  probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

Probability: -

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true. The probability of an event is a number between 0 and 1, where, roughly speaking, 0 indicates impossibility of the event and 1 indicates certainty. Since the coin is fair, the two outcomes ("heads" and "tails") are both equally probable; the probability of "heads" equals the probability of "tails"; and since no other outcomes are possible, the probability of either "heads" or "tails" is 1/2 (which could also be written as 0.5 or 50%).

Conditional Probability :

Using conditional probability, it is found that there is a 0.83 = 83% = P( A∩ B) / P(A)

In which

In this problem:

Event A: Commute to school each day.

Event B: Spends more than $25 a week.

80% indicated that they commute to school each day. of those that commute to school each day, hence , P(A) = 0.8

Of those, 83% spend more than $25 a week on gasoline, hence .

                     P(B|A) = 0.83

Thus, 0.83 = 83% probability that this student does spend more than $25 a week on gas, given that he/she does commute to school each day.

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In a rhombus, all sides are equal and the diagonals intersect each other at a 90 degree angle and bisect each other.  

Diagonal of a rhombus bisects the angles of the rhombus at the vertex.

So as m∠MNL is 120°,

∠MNO = ∠LNO = 120/2 = 60°

The diagonals intersect each other at a 90 degree angle, therefore

m∠MON = 90°

Considering ΔMNO, right angled at O.

cos(∠MNO) = NO/ MN

cos(60) = NO/ 8

NO = 0.5×8 = 4

NP = NO + OP

NP = 2NO

NP = 2×4

NP = 8 in

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By applying partial derivative rule, we can obtain the answer as follows:

A. 321312 pounds

B. \(f_{x}\) = 13000 + 14xy - 39x²

C. \(f_{y}\) = 3500 + 7x²

D. 15211 weekly pounds per skilled worker

E. 4347 weekly pounds per unskilled worker

Partial derivative is the derivative of a function that has several independent variables, to one of the independent variables by holding the other independent variables as constants.

Now we take a look at the given problem. The production function is:

z = f(x, y) = 13000x + 3500y + 7x²y - 13x³, where

z = the weekly number of pounds of acetate fiber

x = the number of skilled workers at the plant

y = the number of unskilled workers at the plant

Weekly fiber that can be produced with 11 skilled workers and 45 unskilled workers:

z = f(x, y) = 13000x + 3500y + 7x²y - 13x³

  f(11,45) = 13000*11 + 3500*45 + 7*11²*45 - 13*11³

              = 143000 + 157500 + 7*121*45 - 13*1331

              = 143000 + 157500 + 38115 - 17,303

              = 321312 pounds

Rate of change of output with respect to the number of skilled workers:

\(f_{x}\) = dz / dx

   = d(13000x + 3500y + 7x²y - 13x³) / dx

   = 13000 + 7*2xy - 13*3x²

   = 13000 + 14xy - 39x²

Rate of change of output with respect to the number of unskilled workers

\(f_{y}\) = dz / dy

  = d(13000x + 3500y + 7x²y - 13x³) / dy

  = 3500 + 7x²

Rate of change of output with respect to skilled workers when 11 skilled workers and 45 unskilled workers are employed:

\(f_{x}\) = 13000 + 14xy - 39x²

   = 13000 + 14*11*45 - 39*11²

   = 13000 + 6930 - 4719

   = 15211 weekly pounds per skilled worker

Rate of change of output with respect to unskilled workers when 11 skilled workers and 45 unskilled workers are employed:

\(f_{y}\) = 3500 + 7x²

   = 3500 + 7*11²

   = 3500 + 847

   = 4347 weekly pounds per unskilled worker

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Answer:

(-7. -8) Just flip the signs.

Answer:

\(\boxed {\boxed {\sf (-8,-7)}}\)

Step-by-step explanation:

When a point is reflected over y=-x, the following change occurs:

\((x,y)\)    ⇒  \((-y, -x)\)

We are given the point (7,8).

Essentially, we change the signs for both coordinates, then flip the x-coordinate and y-coordinate.

1. Change the signs

\((7,8)\)    ⇒    \((-7,-8)\)

2. Flip the x and y coordinates

\((-7,-8)\)   ⇒    \((-8,-7)\)

So the image of (7,8) after a reflection over y=-x is (-8,-7)

Answer:

Addition and subtraction property of equality

Step-by-step explanation:

because -8-×=9.

Answer:?????

Step-by-step explanation:

pls explain it better lol i dont understand

The expected number of sample means falling between 174.2 and 177.2 can be estimated as:

Expected number = A * Total number of sample means.

(a) The mean of the sampling distribution of X is given as 176.5 and the standard deviation is 1.28.

(b) To determine the expected number of sample means that fall between 174.2 and 177.2 centimeters inclusive, we need to calculate the z-scores corresponding to these values and find the area under the normal curve between these z-scores.

The z-score for 174.2 can be calculated as:

z1 = (174.2 - 176.5) / 1.28

Similarly, the z-score for 177.2 can be calculated as:

z2 = (177.2 - 176.5) / 1.28

Using a standard normal distribution table or a calculator, we can find the area between these two z-scores.

Let's assume the area between z1 and z2 is A. The expected number of sample means falling between 174.2 and 177.2 can be estimated as:

Expected number = A * Total number of sample means.

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