Taylor bought a necklace for each of her three sisters. She paid $7.50 for each necklace. Supposed she had $9 left. How much money did she have initially to spend on each sister?

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

The given question requires the determination of the expected number of moves until we reach the vertex opposite from our starting point by moving randomly from vertex to adjacent vertices.

Let E denote the expected number of moves. If we are starting at a vertex of the cube, then there are three vertices adjacent to it. Let E1 denote the expected number of moves needed to reach the vertex opposite the starting vertex, given that our first move is to an adjacent vertex. Let E2 denote the expected number of moves needed to reach the vertex opposite the starting vertex, given that our first move is not to an adjacent vertex.                                                                          From the vertex, we have three possible choices for the first move.                                                                                                                     From the next vertex, we have two possible choices for the next move (since one of the adjacent vertices was our starting point). After that, we have only one move left to reach the opposite vertex, giving a total of 3 + 2 + 1 = 6 moves. Thus E1 = 6. From the vertex, we have three possible choices for the first move. From the next vertex, we cannot move back to the starting vertex, but there is still one adjacent vertex to avoid. Thus, we have two choices for the second move. After that, we have only one move left to reach the opposite vertex, giving a total of 3 + 2 + 1 = 6 moves. Thus, E2 = 6. Now we can find E using the law of total probability and the above information. We have E = (1/3)E1 + (2/3)E2E = (1/3)6 + (2/3)6E = 6

Therefore, the expected number of moves, until we reach the vertex opposite from our starting point, is 6.

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Answer:

i would say 40 for 4$

Step-by-step explanation:

bc ur getting double amount for 2$ and it will last longer

Answer:

40 victims for $4 sorry u was in my laptop and it didn't have the answer thingy so I'm doing it again lol

Answer:

Step-by-step explanation:

The ratio of the angle is how the angle relates to each other. Let's say that we try to relate Angle A, B, C and get 1 : 3 : 5. That means Angle B is three times Angle A and Angle C is 5 times Angle A

Thus we get the equation:

A

B = 3A

C = 5A

A + B + C = 180, since all the angles of the triangle is equal to 180 degrees

A + 3A + 5A = 180

9A = 180

A = 20 --> B = 3A = 60 --> C = 5A = 100

So Angle A is 20 degrees, Angle B is 60 degrees, and Angle C is 100 degrees.

Hope that helps!

The value 0xabcdef12 would be arranged in memory for little-endian will be as 12efcdab and in big-endian as abcdef12.

In a little-endian machine, the least significant byte is stored first, while in a big-endian machine, the most significant byte is stored first. Let's examine how the value 0xabcdef12 would be arranged in memory for both architectures.

Address: | 03 | 02 | 01 | 0x00 |

Content: | 0x12 | 0xef | 0xcd | 0xab |

Content: | ab | cd | ef | 12 |

In a little-endian machine, the least significant byte (0x12) is stored at the lowest memory address (0x00), followed by the bytes in increasing order of significance.

In a big-endian machine, the most significant byte (0xab) is stored at the lowest memory address (0x00), followed by the bytes in decreasing order of significance.

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Answer:

A

Step-by-step explanation:

The scale of inches in the drawing to inches in the actual object is 3 : 200.

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given is a town where town planners are planning a 500-foot by 700-foot parking lot by making a scale drawing that is 90 inches by 126 inches.

1 foot is equivalent to 12 inches.

The dimensions of parking lot in inches will be -  

(500 x 12) by (700 x 12)

6000 inches by 8400 inches

The dimensions of scale drawing in inches -

90 inches by 126 inches

Now, the ratio of length in scale drawing to the actual length of parking lot -

6000/90 = 3/200

In ratio, we can write -  3 : 200

Similarly, the ratio of width in scale drawing to the actual width of parking lot -

126/8400 = 3/200

In ratio, we can write -  3 : 200

Therefore, the scale of inches in the drawing to inches in the actual object is 3 : 200.

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Answer:

42. -1

48. 2

Step-by-step explanation:

Answer:

-1

2

Step-by-step explanation:

Answer:

\(-5p^2-9pq+17q^2\)

Step-by-step explanation:

\((p-4q) (3p+q) - (2p+3q) (4p-7q)\\\\\mathrm{Expand}\:\left(p-4q\right)\left(3p+q\right):\quad 3p^2-11pq-4q^2\\=3p^2-11pq-4q^2-\left(2p+3q\right)\left(4p-7q\right)\\\\\mathrm{Expand}\:-\left(2p+3q\right)\left(4p-7q\right):\quad -8p^2+2pq+21q^2\\=3p^2-11pq-4q^2-8p^2+2pq+21q^2\\\\\mathrm{Simplify}\:3p^2-11pq-4q^2-8p^2+2pq+21q^2:\\\quad -5p^2-9pq+17q^2\)

Answer:

-5p² -9pq +17q²

Step-by-step explanation:

Please see attached picture for full solution.

The quadratic equation x^2 - 3kx - 4k^2 = 0 will have real-valued solutions for values of k such that the discriminant (b^2 - 4ac) is greater than or equal to zero.

The given quadratic equation is x^2 - 3kx - 4k^2 = 0.

Comparing this equation with the standard form ax^2 + bx + c = 0, we have:

a = 1, b = -3k, and c = -4k^2.

The discriminant is given by b^2 - 4ac. Substituting the values, we get:

(-3k)^2 - 4(1)(-4k^2) = 9k^2 + 16k^2 = 25k^2.

For real-valued solutions, the discriminant should be greater than or equal to zero: 25k^2 ≥ 0.

To find the values of k for which the quadratic equation has real-valued solutions, we need to solve the inequality 25k^2 ≥ 0.

Since the square of any real number is non-negative, the inequality is satisfied for all real values of k. Therefore, the quadratic equation x^2 - 3kx - 4k^2 = 0 will have real-valued solutions for all values of k.

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Answer:

-2

Step-by-step explanation:

The coordinate of a point that divides a line AB in a ratio a:b from A(\(x_1,y_1\)) to B(\(x_2,y_2\)) is given by the formula:

\((x,y)=(\frac{bx_1+ax_2}{a+b} ,\frac{by_1+ay_2}{a+b} )=(\frac{a}{a+b}(x_2-x_1)+x_1 ,\frac{a}{a+b}(y_2-y_1)+y_1 )\)

Given that a line JK, with  Point J is at ( -6, - 2) and point K is at point (8, - 9) into a ratio of 2:5. The x coordinate is given as:

\(x=\frac{2}{2+5} (8-(-6))+(-6)=\frac{2}{7}(14) -6=4-6=-2\)

Line segments can be divided into equal or unequal ratios

The x coordinate of the segment is -2

The coordinates of points J and K are given as:

\(J = (-6,-2)\)

\(K = (8,-9)\)

The ratio is given as:

\(m : n =2 : 5\)

The x-coordinate is then calculated using:

\(x = (\frac{m}{m + n }) (x_2 - x_1) + x_1\)

So, we have:

\(x = (\frac{2}{2 + 5 }) (8 - -6) -6\)

\(x = (\frac{2}{7}) (14) -6\)

Expand

\(x = (2) (2) -6\)

Open bracket

\(x = 4 -6\)

Subtract 6 from 4

\(x = -2\)

Hence, the x coordinate of the segment is -2

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Answer:

-500

Step-by-step explanation:

Using the order of operations, you first multiply the 15 by 34, to get 510. This turns the equation to 2+8-510, which can be simplified to 10-510. This equals 500.

Hunter's investment will be $11290 in ten years.

According to the question,

We have the following information:

Hunter plans to invest $1,000.00 into an investment account every year. If he earns an average of 2.9%.

We know that following formula is used to find the compound amount:

P\((1+r/100)^{t}\) where t is the time in years

In this case, time is 1 year.

1000(1+2.9/100)

1000*112.9/100

$1129

Now, his investment in ten years can be easily found by following the given steps:

10*1129

$11290

(Note that when $1000 is invested into the same account every year then the answer will be different because principal amount for each year will be 1000 more than the compound amount of last year.)

Hence, Hunter's investment will be $11290 in ten years.

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An example of a measure that is reliable but not valid address different aspects of the quality of a measure

Reliability and validity are both important concepts in the field of research methods, particularly when it comes to assessing the quality of data collected from surveys, tests, and other forms of measurement.

Reliability refers to the consistency or stability of a measure over time, across different settings, and among different groups of respondents.

Validity, on the other hand, refers to the accuracy or truthfulness of a measure in assessing the construct or concept that it is intended to measure. A measure that is valid accurately captures the meaning of the construct or concept being studied, and is not influenced by other factors that may distort or bias the results.

In summary, while reliability and validity are both important in research, they address different aspects of the quality of a measure. A measure that is reliable may not necessarily be valid

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Answer:  Table B is a direct variation.

Step-by-step explanation:

Table A contains data that fits the expression y = x+3.  This is not a direct variation.  The ratio of x and y is not a constant.  Table B matches the expression y = 3x.  This is a direct variation.  Table C can be expressed as y = x - 3.  This is not a direct variation, for the same reason as Table A.

a. Optimal solution: X1 = 140, X2 = 0, X3 = 80, Objective Function Value = 4700.000.

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding.

c. The dual price for the second constraint is 2.333, indicating that for each unit increase in its right-hand side value, the objective function value increases by 2.333.

d. The objective function coefficient of X2 can vary between 30 and 40 without changing the optimal solution

a. The complete optimal solution is:

X1 = 140

X2 = 0

X3 = 80

Objective Function Value = 4700.000

b. The first constraint (4X1 + 5X2 + 8X3 < 1200) is binding because it has a slack/surplus value of 0.

c. The dual price for the second constraint (9X1 + 15X2 + 3X3 < 1500) is 2.333. This means that for each unit increase in the right-hand side value of the second constraint, the objective function value will increase by 2.333 units, assuming all other variables and constraints remain constant.

d. The objective function coefficient of X2 can vary between 30 and 40 before a new solution point becomes optimal. This means that as long as the coefficient remains within this range, the current solution will still be optimal. However, if the coefficient of X2 goes below 30 or above 40, a new optimal solution may be obtained.

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Answer:

Crowded means full of people

Rowdy means noisy and disorderly.

Crowded and Rowdy are adjectives.

Answer:

sqrt(2)/2

Step-by-step explanation:

tan(x) and cot(x) are both 1 when x=pi/4 and since 1+1=2, then we just need to evaluate cos(pi/4) which equals sqrt(2)/2.

Answer:     3

Step-by-step explanation:

22.5% of 40= 9 which is the amount for cats

30% of 40= 12 which is the amount for dogs.

12-9=3

Answer:

and? obviously bc 3 isnt a even number so then the answer wont be even

Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

a) The volume of a rectangular prism is given by multiplying its length, width, and height. Thus, the polynomial that represents the volume of the given box is:

\(V(x) = (x+6)(x-2)(x-1)\)

Expanding this expression, we get:

\(V(x) = x^3 + 3x^2 - 13x - 12\)

Therefore, the polynomial that represents the volume of the box is V(x) = \(x^3 + 3x^2 - 13x - 12.\)

b) We are given that the volume of the box is 60 cubic inches. We can set up an equation by equating the polynomial V(x) to 60 and solving for x:

\(x^3 + 3x^2 - 13x - 12 = 60\)

Simplifying this equation, we get:

\(x^3 + 3x^2 - 13x - 72 = 0\)

We can use either long division or synthetic division to find the roots of this equation. Using synthetic division, we can divide by x-4 and get:

4 | 1 3 -13 -72

|___4 28 60

1 7 15 0

Therefore, the roots of the equation are x = -5, x = -1, and x = 4. However, we can discard the negative roots since they don't make sense in the context of the problem.

Therefore, the length of the box is x+6 = 10 inches, the width of the box is x-2 = 2 inches, and the height of the box is x-1 = 3 inches. Thus, the dimensions of the box are 10 inches by 2 inches by 3 inches.

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Answer:

Step-by-step explanation:

12x³ = 2²·3·x³

The greatest common factor of 12x³ and 3x² is 3x².

12x³ - 3x² = (4x - 1)3x²

Answer:

The answer is 3x^2(4x-1)=0

Step-by-step explanation:

Given : GH bisects ∠FGI

It means : ∠FGH and ∠HGI are equal

Given :

∠FGH = (5x - 8)°

∠HGI = (6x - 15)°

⇒  5x - 8 = 6x - 15

⇒  6x - 5x = 15 - 8

⇒  x = 7°

Substituting the value of x, We get :

∠FGH = 5(7) - 8 = (35 - 8) = 27°

∠HGI = 6(7) - 15 = (42 - 15) = 27°

∠FGI = ∠FGH + ∠HGI = (27 + 27) = 54°

The rate of change of h(x) with respect to x when x=2 is -3. To find d/dx, we need to take the derivative of the function h(x) and evaluate it at x=2.

h(2) tells us that when x=2, h(x)=4.

h'(2) tells us that the slope of the tangent line to the graph of h(x) at x=2 is -3.

So, we can use this information to find d/dx as follows:

h(x) = y

dy/dx = h'(x)

We know that when x=2, y=h(2)=4.

We also know that the slope of the tangent line to the graph of h(x) at x=2 is h'(2)=-3.

So, we can write the equation of the tangent line at x=2 as:

y - 4 = (-3)(x - 2)

y = -3x + 10

Now we can take the derivative of y with respect to x to find d/dx:

d/dx (y) = d/dx (-3x + 10)

d/dx (y) = -3

Therefore, d/dx = -3.

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The value of x for the equation 1/4 - x = x/8 is x = 2/9.

According to the given question.

We have an equation 1/4 - x = x/8.

As we know that, an equation is a condition on a variable such that two expressions in the variable should have equal value.

Here, we have to find the solution of the equation 1/4 - x = x/8 for x.

So, the solution of the given equation 1/4 - x = x/8 for x is given by

1/4 - x = x/8

⇒ 1/4 = x/8 + x           (adding x both the sides)

⇒ 1/4 =  x + 8x/8  

⇒ 1/4 = 9x/8

⇒ (1/4)(8)  = 9x

⇒ 2 = 9x

⇒ x = 2/9           (dividing both the sides by 9)

Hence, the value of x for the equation 1/4 - x = x/8 is x = 2/9.

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A graph of accuracy and sample size does not always show that accuracy decreases as sample size increases is a false.

This relationship between accuracy and sample size can vary depending on the type of data and the analysis being performed. In some cases, increasing sample size can lead to higher accuracy due to a larger representation of the population being studied. However, in other cases, increasing sample size can lead to decreased accuracy due to issues such as sampling bias or measurement error.

Therefore, the relationship between accuracy and sample size is complex and requires a long answer to fully explain. False. A graph of accuracy and sample size does not always show that accuracy decreases as sample size increases.

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Answer:

A

Step-by-step explanation:

Since the shaded region on the right is greater than or equal to 3, and the shaded region on the left is less than -4 (since numbers decrease as the arrow moves towards the left on the number line).

To find the volume of the box, start by converting the 6 inches into feet, using that 1 feet has 12 inches.

use the formula of the volume of a box

w = 3ft

l = 4ft

h = 0.5ft

The box holds 6 cubic feet of sand.

There are some properties that we can determine for the given set of functions {f1(x) = 1/x, f2(x) = x^2 − 1, f3(x) = x^2 + 1}.

The set of functions {f1(x) = 1/x, f2(x) = x^2 − 1, f3(x) = x^2 + 1} appears to be a set of three functions defined over the real numbers.

To determine some properties of this set of functions, we can consider various aspects such as the domain and range of each function, their linear independence, or their span as a set of vectors in a function space.

Domain and Range:

The domain of f1(x) is all non-zero real numbers. The range is also all non-zero real numbers.

The domain of f2(x) and f3(x) is all real numbers. The range of f2(x) is [−1,∞), while the range of f3(x) is [1,∞).

Linear independence:

To check the linear independence of these functions, we need to determine if any of them can be expressed as a linear combination of the others. A function f(x) is said to be a linear combination of the functions {g1(x), g2(x), ..., gn(x)} if there exist scalars a1, a2, ..., an such that f(x) = a1g1(x) + a2g2(x) + ... + angn(x).

In this case, we can see that none of the functions can be expressed as a linear combination of the others. Hence, the set of functions {f1(x), f2(x), f3(x)} is linearly independent.

Span:

The span of a set of functions is the set of all linear combinations of those functions. In this case, we can see that any polynomial function of degree 2 or less can be expressed as a linear combination of {f1(x), f2(x), f3(x)}. Hence, the span of the set of functions {f1(x), f2(x), f3(x)} is the set of all polynomial functions of degree 2 or less.

Overall, these are some properties that we can determine for the given set of functions {f1(x) = 1/x, f2(x) = x^2 − 1, f3(x) = x^2 + 1}.

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The value of side length w is 13.75 .

Given right angled triangle,

Perpendicular = w

Hypotenuse = 17

Angle of triangle = 54°

So,

According to the trigonometric ratios,

tanФ = p/b

cosФ = b/h

sinФ = p/h

By using sinФ,

sinФ = p/h

sin 54° =  w/ 17

0.809 = w/17

w = 13.75 .

Thus after correction w will be 13.75

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