In the inequality 4>-4, which number appears farther right on a number
line and why?
O A. -4 appears farther right because -4 is smaller than 4.
O B. -4 appears farther right because - 4 is larger than 4.
C. 4 appears farther right because 4 is larger than -4.
D. 4 appears farther right because 4 is smaller than -4.
PLEASE HELP ASAP!! THIS IS ONE OF MY FINAL TEST… AKA- ITS MOST OF MY GRADE

Answer:  

x=5/2,3/2

so 5/2 is the maximum height. (2.5)

Step-by-step explanation:

Answer and explanation:

(-3)(5) evaluates to -3×5=-15

A real world problem that would represent this would be a case where 5 fruit vendors each give out 3 fruits to 3 of their customers in the spirit of Christmas. Each vendor gives out(subtracts fruits from fruit stock) 3 of their fruits= -3 fruits for each vendor. There are a total of 5 fruit vendors therefore -3×5= -15 fruits given out by all 5 fruit vendors in total. To better understand this, we could compare this to if the vendor were to get(add to stock of fruits) fruits and not actually give out fruits. This would be 3×5= 15 fruits gotten by all the 5 vendors in total.

Answer:

35

Step-by-step explanation:

Answer:

51

Step-by-step explanation:

x + y + z  = 0   →-  -(x + y)  = z  →   z^3 =  - (x^3 + 3x^2y + 3xy^2 + y^3)

xyz  = 17

xy [ -(x + y) ]  = 17

xy (x + y)  = -17  →  x^2y + xy^2  = -17  →  3x^2y + 3xy^2  = -51

So......

x^3  + y^3  +  [ z^3 ]

x^3  + y^3  +  [ -  ( x^3 + 3x^2y + 3xy^2 + y^3) ]  =

-3x^2y - 3xy^2  =

-[ 3x^2y + 3xy^2]  =

- [-51]  =

51

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Step-by-step explanation:

a) 100

b)45

trust me it will helps you

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

To calculate the amount you will collect after 150 days, we need to use the formula for compound interest:

A = P(1 + r/n)^(nt)

Where:

A = the final amount

P = the principal amount (initial investment)

r = annual interest rate (as a decimal)

n = number of times the interest is compounded per year

t = time (in years)

In this case, the principal amount is $4 million, the annual interest rate is 3.95% (or 0.0395 as a decimal), and the CD has a 150-day term.

To determine the number of compounding periods in 150 days, we need to consider the compounding frequency. CD interest is typically compounded daily. Therefore, we have:

n = 365 (number of days in a year) / 150 (number of days in the CD term) = 2.4333

Plugging the values into the formula:

A = $4,000,000 * (1 + 0.0395/2.4333)^(2.4333*150/365)

A = $4,047,439

If you buy the $4 million CD with a 3.95% annual interest rate and hold it for 150 days, you will collect $4,047,439 at maturity.

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Answer:

3.14159

Explanation:

pi is irrational

Hope this helps!! <3

An inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

From Newton's second law of motion,

mass × acceleration = Force acting on the mass

Resolving the force F along x and y directions and applying Newton's second law of motion,

Using,

\(r = \sqrt{x^2+y^2}\)

​

Therefore,

\(m\frac{d^2x}{dt^2} =-|F|cos \theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and cos⁡θ = \(\frac{x}{\sqrt{x^2+y^2} }\)

Similarly using,

\(r = \sqrt{x^2+y^2}\)

we get,

 \(m\frac{d^2y}{dt^2} = -|F|sin\theta\)

\(mx^{''} = -\frac{k}{x^2+y^2} \frac{x}{\sqrt{x^2+y^2} } \\\\mx^{''} = - \frac{kx}{(x^2+y^2)^\frac{3}{2} }\\ \\mx^{''} = - \frac{kx}{r^3}\)

Where \(r = \sqrt{x^2+y^2}\)

​ and sinθ = \(\frac{y}{\sqrt{x^2+y^2} }\)

Therefore we showed that holds

\(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\)

Hence the answer is an inverse-square central force field is  \(mx^{''} = -\frac{kx}{r^3}\\ \\mx^{''} = -\frac{ky}{r^3}\\\).

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p=4n+2 equation describes the relationship between n and p

How to find a function?

To ascertain whether a graph accurately depicts a function, use the vertical line test. The graph is a function if a vertical line drawn across it is moved and hits it only once at any given time. If there are multiple points where the vertical line intersects the graph, the graph is not a function.

Here the coordinates are (1,6),(2,10),(3,14),(4,18)

take two coordinates arbitrarily

ie. (1,6) and (3,14)

\(m=\frac{y_{2} -y_{1} }{x_{2}-x_{1} }\)

\(m=\frac{14-6}{3-1}\\ = \frac{8}{2}\)

=4

we know the equation

\(y-y_{0} = m(x-x_{0} )\)

where \((x_{0},y_{0})= (1,6)\)

y-6 = 4(x-1)

y-6 = 4x-4

y = 4x-4+6

y = 4x+2

here y is the profit and x is the number of shirts

∴p=4n+2

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The correct answer is option d) 9x² + 12xy + 4y². To simplify the expression (3x + 2y)² using the square of a binomial formula, we need to apply the formula (a + b)² = a² + 2ab + b². In this case, a = 3x and b = 2y.

Using the formula, we have:

(3x + 2y)² = (3x)² + 2(3x)(2y) + (2y)²

= 9x² + 12xy + 4y²

So the simplified form of (3x + 2y)² is 9x² + 12xy + 4y².

Now let's analyze the given options:

a) 9x² + 4y²: This option is incorrect because it is missing the term 12xy.

b) 9x² + 5xy + 4y²: This option is also incorrect because it contains an additional term, 5xy, which is not present in the simplified expression.

c) 9x² + 6xy + 4y²: This option is incorrect because it also contains an additional term, 6xy, which is not present in the simplified expression.

d) 9x² + 12xy + 4y²: This option is correct because it matches the simplified form we obtained using the square of a binomial formula.

Therefore, the correct answer is option d) 9x² + 12xy + 4y².

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The solution is, the value of DE = 6.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

here, we have,

Let's consider some theorem:

1- The line joining the midpoints of two sides of a triangle is parallel to the third side and equal to equal to half of it

2. A straight line through the mid point of one side of a triangle parallel to a second side bisects the third side.

Having noted that, let's see that;

∆ ABC is similar to ∆ BAC

Therefore, from the above theorem and the information given,

(DE / AC) = ( BE / BC)

From the question, BC is 10

Therefore,

(DE/12) = (5 / 10)

Cross multiplying:

10*DE = 12*5

10DE = 60

DE = 60/10

DE = 6

Hence, The solution is, the value of DE = 6.

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The range of g(x, y) is [-1, 1] in interval notation, indicating that g(x, y) can take any value between -1 and 1, including both endpoints.

The function g(x, y) = sin(4x + 7y) represents a trigonometric function that takes two variables, x and y, as input. To determine the range of this function, we need to find the set of all possible values that g(x, y) can take.

Since the sine function oscillates between -1 and 1, the range of g(x, y) will be within the interval [-1, 1]. This means that the output values of g(x, y) will always be between -1 and 1, inclusive.

Therefore, the range of g(x, y) is [-1, 1] in interval notation, indicating that g(x, y) can take any value between -1 and 1, including both endpoints.

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hello     ,,,,,,,,,,,.,.,.,.,.,.,., can u  help me with my questions?

Answer:

15

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

Identify

5a - 10b = 45

b = 3

Step 2: Solve for a

Answer:

a=3

Step-by-step explanation:

5a-10b=45

when b=3

5a-10×3=45

5a-30=45

collect like terms

5a=45-30

5a=15

a=3

Answer: C

Step-by-step explanation:

False. Conditional probability can be used for more than two events.

In fact, conditional chance is a essential concept in opportunity idea this is used to calculate the opportunity of an event A given that event B has befell.

This idea may be extended to more than one events, where the chance of an event A given that occasions B and C have came about can be calculated the use of the formula P(A|B,C) = P(A,B,C)/P(B,C).

Wherein P(A,B,C) is the joint possibility of activities A, B, and C happening together, and P(B,C) is the opportunity of activities B and C occurring together. This system can be prolonged to any variety of occasions, making conditional possibility a effective device in chance theory and information.

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The amount of wrapping paper for the gift is A = 279 inches²

Given data ,

To calculate the amount of wrapping paper Laura will need to wrap the gift, we need to find the total surface area of the gift.

The surface area of a rectangular box is given by the formula:

Surface Area = 2 x (length x width + length x height + width x height)

Given that the length of the gift is 6 inches, the width is 13.5 inches, and the height is 3 inches, we can substitute these values into the formula:

Surface Area = 2 x (6 x 13.5 + 6 x 3 + 13.5 x 3)

Surface Area = 2 x (81 + 18 + 40.5)

Surface Area = 2 x 139.5

The surface area of a rectangular box = 279 inches²

Hence , Laura will need 279 inches² of wrapping paper to wrap the gift

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The expected time for completion of Activity "X" on a PERT chart is 9 hours.

PERT analysis is a project management technique that is used to evaluate and analyze the tasks involved in finishing a project. It makes use of 3 duration estimates: optimistic, pessimistic, and most likely times to calculate the expected duration of each activity. These estimates are used to analyze the critical path, slack time, and schedule of the project.

Let's calculate the expected time for completion of Activity "X" on a PERT chart using the given estimates:

Optimistic time (O) = 6 hours

Most likely time (M) = 9 hours

Pessimistic time (P) = 12 hours

Expected time (TE) = [O + 4M + P] ÷ 6= [6 + 4(9) + 12] ÷ 6= [6 + 36 + 12] ÷ 6= 54 ÷ 6= 9

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120 kg is equivalent to 264.55 lbs.Both are unit of measurement of weight

To convert kilograms (kg) to pounds (lbs), you can use the conversion factor 1 kilogram = 2.20462 pounds. To convert 120 kilograms to pounds, you would multiply 120 by 2.20462, which would give you the answer of 264.55 pounds.

It's important to remember that the pound and kilogram are both units of measurement for weight, but they are not interchangeable. The kilogram is used in most other countries while the pound is commonly used in the United States.

It's important to always make sure you are using the appropriate unit of measurement for your needs, and to convert between units if necessary. Additionally, it's always good to double check your conversions by using a calculator or online conversion tool to ensure accuracy.

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Answer:

\(\frac{16}{81}\)

Step-by-step explanation:

\((\frac{27}{8} )^{-\frac{4}{3} }\)

\(=((\frac{3}{2} )^3)^{-4/3}\)

\(=(\frac{3}{2} )^{-4}\)

\(=(\frac{2}{3} )^{4}\)

\(=\frac{16}{81}\)

Answer:

16/81

Step-by-step explanation:

a negative exponent means 1/...

the number in the numerator means "to the power of".

the number in the denominator means take the root of that power.

so, we have to take the third root of the expression, or this then to the power of 4, and finally build 1/... if the whole result.

and the sequence is not making a difference.

the third root of of 27/8 = 3/2

this to the power of 4 = 81/16

this 1/... = 16/81

Answer:

5

Step-by-step explanation:

Answer:

\(f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}\)

Step-by-step explanation:

Given function:

\(f(x)=\sin x\)

The differentiation of sin(x) is cos(x).

\(\implies f'(x)=\cos x\)

Therefore:

\(\implies f' \left(\dfrac{\pi}{3}\right) = \cos \left(\dfrac{\pi}{3}\right)\)

\(\implies f' \left(\dfrac{\pi}{3}\right) =\dfrac{1}{2}\)

Answer:

Step-by-step explanation:

let the integers be x and y

x+y=-20

y=-20-x

xy=99

x(-20-x)=99

-20x-x²=99

x²+20x+99=0

x²+11x+9x+99=0

x(x+11)+9(x+11)=0

(x+11)(x+9)=0

x=-11,-9

when x=-11

-11+y=-20

y=-20=11=-9

when x=-9

-9+y=-20

y=-20+9=-11

so integers  are -11,-9

The conic section represented by the equation 2x² - 4xy - y² + 8 = 0 is an ellipse.

In standard position, the equation of the ellipse in the rotated coordinates is 4u² - v² = 8, where u and v are the new coordinates obtained after rotating the axes. The angle of rotation can be found by solving the equation -4xy = 0, which implies that the angle is 45 degrees or π/4 radians.

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The inverse function, given the function f(x) = 5(x+4) - 6, can be found to be A. 1.

First, we need to find the inverse function of f(x). To do this, we'll switch the roles of x and y (we'll use y to represent f(x)) and then solve for y.

Given the function f(x) = 5(x + 4) - 6, let's replace f(x) with y:

y = 5(x + 4) - 6

x = 5(y + 4) - 6

x = 5y + 20 - 6

x = 5y + 14

x - 14 = 5y

y = (x - 14) / 5

Now we have the inverse function, f^(-1)(x) = (x - 14) / 5. To find the value of the inverse function when x = 19, plug in 19 for x:

f^(-1)(19) = (19 - 14) / 5

f^(-1)(19) = 5 / 5

f^(-1)(19) = 1

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The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot.

So the volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

The quantity of cubic feet can be multiplied by 29.9220779 to get the conversion to quarts. For instance, if you have a container with a 2 cubic foot volume, the quantity of quarts in that container would be:2 cubic feet multiplied by the US liquid quart density of 29.9220779 gives 59.8441558 US quarts. The volume of a cubic foot is equal to 29.9220779 US liquid quarts. This conversion factor is based on the definitions of the cubic foot as a unit of volume equal to a cube with sides that are one foot in length and the quart as a unit of volume in the US customary system.

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If the quadratic expression with integer coefficients is factorable over the integers then its discriminant is a perfect square.

The term quadratic expression is defined as an expression with the variable with the highest power of 2.

Here we have to identify the way to know that  if a quadratic equation is factored.

As per the definition here we know that if it is a positive perfect square the equation can be factored fairly easily.

Where as here we have also know that not every quadratic equation can be solved by factoring or by extraction of roots.

And if the quadratic expression that is written as the product of a constant times two linear factors then it is said to be in factored form.

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The domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

The range of the function we can see from the graph of the function will be from  [\(\dfrac{-\pi}{8}\) , -3 ] and  [ \(\dfrac{3\pi}{8}\),3]

The domain of the function will be all the values of the real numbers for the function ranges from  ( 0, ∞ ).

Therefore the domain will be ( 0, ∞) and the range of the function F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] will be [\(\dfrac{-\pi}{8}\) , -3 ] and [ \(\dfrac{3\pi}{8}\),3].

The complete question is given below:-

what is the domain and range of the function

F(x) = -3Cos[2x+\(\dfrac{\pi}{4}\)] .

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